Gillian spends a third of her pocket money on snacks and a quarter of it on bus fare. How much money did she remain with?​

Company A will charge less than Company B for any mileage greater than 70 miles. For mileages less than 70 miles, Company B will be cheaper. The inequality solved is m > 70.

To determine for what mileages Company A will charge less than Company B, we can set up an inequality with m representing the number of miles driven.

Let's start by finding the total cost for each company based on the number of miles driven:

Company A: $138 (unlimited mileage)

Company B: $75 + $0.90m (where m is the number of miles driven)

To find the mileage for which Company A will charge less than Company B, we need to set up an inequality by equating the total cost for Company A to the total cost for Company B and then solving for m:

138 < 75 + 0.90m

Subtracting 75 from both sides, we get:

63 < 0.90m

Dividing both sides by 0.90, we get:

m > 70

To learn more about inequality click on,

https://brainly.com/question/31083568

#SPJ4

Complete question is:

Latoya is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.

Company A charges $138 and allows unlimited mileage.

Company B has an initial fee of $75 and charges an additional $0.90 for every mile driven.

For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m .

The data should come from a binomial distribution. There should be no non-response or other forms of bias. The sample size should not be more than 10% of the population size, and the sample should be independent of one another.

When making inferences about one population proportion, the following assumptions need to be made:

Option 1: The sample is a simple random sample from the population.

Option 2: The sample size should be large enough so that both np ≥ 10 and n(1 − p) ≥ 10.

Option 3: The data comes from a binomial distribution.

Option 4: There is no non-response or other forms of bias.

Option 5: The sample size is no more than 10% of the population size.

Option 6: The sample is independent of one another.In order to make inferences about one population proportion, the assumptions mentioned above need to be made. It is vital to make sure that the sample is a simple random sample from the population, and that the sample size is large enough so that both np ≥ 10 and n(1 − p) ≥ 10.

for such more question on population

https://brainly.com/question/25896797

#SPJ11

The equation that represents the situation is (4 + x) / (10 + 25 + x) = 0.25

Let's start by finding the amount of medicine in the original mixture before adding any pure medicine.

The amount of medicine in the 10 grams of 15% solution is

0.15 × 10 = 1.5 grams

The amount of medicine in the 25 grams of 10% solution is

0.10 × 25 = 2.5 grams

So the total amount of medicine in the original mixture is,

1.5 + 2.5 = 4 grams

Now let x be the amount of pure medicine added.

The total amount of medicine in the final mixture is,

4 + x

The total amount of solution in the final mixture is,

10 + 25 + x

So the concentration of the final mixture is,

(4 + x) / (10 + 25 + x)

We know that this concentration is 25%, so we can write:

(4 + x) / (10 + 25 + x) = 0.25

This is the equation that represents the situation.

Learn more about equation here

brainly.com/question/14603452

#SPJ4

The given question is incomplete, the complete question is:

A pharmacist mixes 10 grams of a 15% medicine solution with 25 grams of a 10% medicine solution. Suppose we know that after she adds the x grams of pure medicine the pharmacists mixture is 25% medicine solution. Write an equation that represents the situation

The third term of a sequence is 14. Term to term rule is square, then subtract 11. The first term of the sequence is 6.

The given information is about the third term of a sequence which is 14, and the term to term rule is square, then subtract 11.

We have to find the first term of the sequence. The sequence can be calculated using the following formula:

An = A1 + (n-1)d

Where, An is the nth term of the sequence A1 is the first term of the sequence d is the common difference between the terms of the sequence. Let's solve the problem by finding the value of the common difference between the terms of the sequence.

Using the given information, we can write: A3 = 14=> A1 + (3 - 1)d = 14=> A1 + 2d = 14 ----- (i)

Also, the term to term rule is square, then subtract 11.So, we can write, A2 = A1 + d = (A1)² - 11 ---- (ii)

Substituting the value of d from equation (ii) in equation (i),

we get: A1 + 2 [(A1)² - 11] = 14 Simplifying this equation, we get: A1² - 2A1 - 12 = 0 On solving this quadratic equation

we get: A1 = -2 or A1 = 6 Ignoring the negative value of A1, we get the first term of the sequence to be 6.

for such more question on sequence

https://brainly.com/question/7882626

#SPJ11

So, the system of equations solution is (x, y) = (-27/8, 31/4), and the value of y in this solution is 31/4, which is roughly 7.75. As a result, the answer is y = 31/4.

An equation is a statement in mathematics that states the equality of two expressions. An equation has two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the value "9". The purpose of equation solving is to determine which variable(s) must be changed in order for the equation to be true. Simple or complex equations, regular or nonlinear equations, and equations with one or more elements are all possible. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are employed in a variety of mathematical disciplines, including algebra, calculus, and geometry.

the system of equations,

[tex]y = 1 - 2x\\2x - 3(1 - 2x) = -30\\2x - 3 + 6x = -30\\8x = -27\\x = -27/8\\2(-27/8) + y = 1\\-27/4 + y = 1\\y = 1 + 27/4\\y = 31/4[/tex]

So, the system of equations solution is (x, y) = (-27/8, 31/4), and the value of y in this solution is 31/4, which is roughly 7.75.

As a result, the answer is y = 31/4.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

Step-by-step explanation:

The formula for the volume of a cylinder is:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

We are given that V = 1607 and r = 4. We can plug these values into the formula and solve for h:

1607 = π(4^2)h

1607 = 16πh

h = 1607/(16π)

h ≈ 25.5

Therefore, the height of the cylinder is approximately 25.5 units. Note that we rounded the answer to one decimal place since the radius was given to one decimal place.

The sum of the first 50 terms is 3775. Let a be the first term and d be the common difference of the arithmetic sequence.

Then, the tenth term is a + 9d = 28, and the sum of the fifth and seventh terms is 2a + 12d = 32.

Solving these equations simultaneously, we get a = 2 and d = 3.

To find the sum of the first 50 terms, we use the formula for the sum of an arithmetic sequence:

S50 = (50/2)(2a + (50-1)d) = 25(2 + 49(3)) = 3775.

Find out more about arithmetic sequence

brainly.com/question/15412619

#SPJ4

The measure of angle R in ΔSRT which is drawn inside the circle is 77.5°.

Circle is a two-dimensional shape that is defined as the set of all points that are equidistant from a central point. It is often represented as a round shape with a curved boundary.

Since SR is a diameter of the circle, it follows that angle STR is a right angle (90°). Therefore, we can find the measure of angle SRT using the following equation:

∠SRT + ∠STR = 180°

(2x-23°) + 90° = 180°

2x + 67° = 180°

2x = 180° - 67°

2x = 113°

x = 56.5°

∠TRS = 5x-97°

∠TRS = 5(56.5°)-97°

∠TRS = 192.5°

Finally, we can find the measure of angle SRT:

∠SRT = 180° - ∠STR - ∠TRS

∠SRT = 180° - 90° - 192.5°

∠SRT = -102.5°

Therefore, to find the measure of angle R, we need to add 180° to angle SRT:

∠R = ∠SRT + 180°

∠R = -102.5° + 180°

∠R = 77.5°

To know more about angle visit:

https://brainly.com/question/13483158

#SPJ1

Answer:

Step-by-step explanation:

a. 100 divided by 75 = 1.3333333333333333333333333333333

1.3333333333333333333333333333333 times 43 = 57.333333333333333333333333333332

round it to the nearest whole number: ≅ 57%

6(y - 7z) This is a product with a whole number greater than 1 (6), since we factored out a 6 from the original expression.

A factor is an expression or number that evenly divides another expression or number without leaving a remainder.

To factor the expression 6y - 42z, we need to find the greatest common factor (GCF) of the two terms.

The GCF of 6y and 42z is 6, since both terms are divisible by 6. We can factor out the 6 from both terms, leaving:

6(y - 7z)

Notice that the term inside the parentheses (y - 7z) cannot be factored any further, since there is no common factor other than 1. Therefore, the fully factored form of 6y - 42z is:

6(y - 7z)

This is a product with a whole number greater than 1 (6), since we factored out a 6 from the original expression.

To learn more about factor visit:

https://brainly.com/question/29216619

#SPJ1

The longest side of a triangle with angles of 50°, 60°, and 70° and a length of 9 furlongs on the shortest side is approximately 12.2 furlongs.

             The Law of Cosines is used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the included angle are known (SAS) or the lengths of the three sides (SSS) are known.

         To calculate this, using the Law of Cosines formula,

  which is:

                [tex]c^2 = a^2 + b^2 - 2abcosC[/tex]

where c is the longest side, a is the shortest side, b is the other side of the triangle, and C is the angle

between a and b.

In this case, c = 12.2 furlongs,

                    a = 9 furlongs,

                    b is the side opposite the angle 70°, and C = 70°.

So the formula becomes:

        [tex]c^2 = 92 + b^2 - 2(9)(b)cos70^{o}[/tex]

Solving for b gives us b = 12.2 furlongs, which is the length of the longest side.

Learn more about triangles with the angle and length, of the longest side at: https://brainly.com/question/11011280

#SPJ11

The probability that exactly 8 of the 19 people in the random sample are employed is 27.93%.

We need to calculate the probability that exactly 8 of the 19 people in the random sample are employed. The probability of a single person being employed is 4%, or 0.04.

To calculate the probability of 8 people being employed out of the 19, we can use the binomial distribution formula:

P(X=8) = nCx * (p^x) * (1-p)^(n-x) Where n = 19, x = 8, p = 0.04, and 1-p = 0.96

So, P(X=8) = 19C8 * (0.04^8) * (0.96^11) = 0.2793 or 27.93%.

Therefore, the probability that exactly 8 of the 19 people in the random sample are employed is 27.93%.

For more such questions on Probability.

https://brainly.com/question/11234923#

#SPJ11

BC will be congruent to AD under the C.P.C.T rule (corresponding parts of congruent triangles.)

Triangle congruence: Two triangles are said to be congruent if their three corresponding sides and their three corresponding angles are of identical size.

You can move, flip, twist, and turn these triangles to produce the same effect. When relocated, they are parallel to one another.

Two triangles are congruent if they satisfy all five conditions for congruence.

They include the right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and angle-side-angle (SSS) (RHS).

So, in the given △DAB and △DCB:

AC = AC = Common

∠DAC = ∠BAC = AC is the angle bisector

∠DCA = ∠BCA = AC is the angle bisector

Then, △DAB ≅ △DCB under the ASA congruency rule,

Then, BC will be congruent to AD under the C.P.C.T rule (corresponding parts of congruent triangles.)

Therefore, BC will be congruent to AD under the C.P.C.T rule (corresponding parts of congruent triangles.)

Know more about triangle congruency here:

https://brainly.com/question/2938476

#SPJ1

If a sample of 50 items are chosen at random.  the probability that the sample mean length is greater than 9.1 inches is 0.0571, or 5.71%.

The sample mean of the 50 items follows a normal distribution with mean equal to the population mean (μ), and standard deviation  equal to σ/√n, where n is the sample size.

Substituting the given values, we have:

= μ = 9 inches

= σ/√n = 1/√50 inches

Now, we need to standardize the sample mean distribution to find the corresponding z-score using the formula:

z = (X- μX) / σX

Substituting the given values, we have:

z = (9.1 - 9) / (1/√50) = 1.58

The probability of getting a z-score of 1.58 or less is 0.9429. Therefore, the probability of getting a z-score of 1.58 or greater is:

P(z > 1.58) = 1 - P(z ≤ 1.58) = 1 - 0.9429 = 0.051

Therefore the probability that the sample mean length is greater than 9.1 inches is 0.0571.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ1

The probability of selecting two non-defective DVD players from a group of six is 2/5. This is based on the assumption that the selection is done without replacement.

We can use the formula for calculating probabilities of combinations:

P(not defective) = number of ways to choose 2 non-defective DVD players / total number of ways to choose 2 DVD players

Total number of ways to choose 2 DVD players out of 6 is:

C(6,2) = 6! / ([2!] [4!]) = 15

Number of ways to choose 2 non-defective DVD players out of 4 is:

C(4,2) = 4! / ([2!] [2!]) = 6

Therefore, the probability that Cecil chooses 2 non-defective DVD players is:

P(not defective) = 6/15 = 2/5

So the value of P(not defective) is 2/5.

Learn more about probability here: brainly.com/question/30034780

#SPJ4

To represent the value of the bond after x years, we can use the function:f(x) = 100 * (1 + 0.04)^xwhere x is the number of years the bond has been held.The expression (1 + 0.04) represents the growth factor of the bond per year, since the bond grows in value by 4 percent each year. By raising this factor to the power of x, we obtain the cumulative growth of the bond over x years.Multiplying the initial value of the bond, 100$, by the growth factor raised to the power of x, gives us the value of the bond after x years. This is the purpose of the function f(x).

Answer:

The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.

Given the diameter of both the cylinder and the cone is 8 inches, the radius is 8/2 = 4 inches.

The volume of the cylinder is Vcyl = π(4)²(3) = 48π cubic inches.

The formula for the volume of a cone is V = (1/3)πr²h.

The volume of the cone is Vcone = (1/3)π(4)²(18) = 96π/3 = 32π cubic inches.

Therefore, the relationship between the volume of the cylinder and the cone is that the volume of the cone is exactly two-thirds of the volume of the cylinder.

We can see this by dividing the volume of the cylinder by the volume of the cone:

Vcyl/Vcone = (48π) / (32π) = 3/2

So, the volume of the cylinder is 1.5 times greater than the volume of the cone.

A causal study is a study that seeks to determine whether one variable causes another variable.

The independent variable is the variable that is believed to cause the change in the dependent variable, while the dependent variable is the variable that is believed to be influenced by the independent variable.

In a causal study of the effect of shelf placement on sales of a brand of cereal, the independent variable is where the cereal was placed on the shelf. The dependent variable is sales of the cereal.

This is because the sales of the cereal are influenced by where it is placed on the shelf.The answer to the question is sales of the cereal.

To know more about independent variable click on below link:

https://brainly.com/question/1479694#

#SPJ11

a. The probability that all four units are good is 0.2067 (approx),

b. The probability that exactly two units are good is 0.0226 (approx).

Given a shipment of 13 microwave ovens contains four defective units and a vending company purchases four units at random, we need to calculate the probability of the following events:

(a) all four units are good.

(b) exactly two units are good.

(a) What is the probability that all four units are good?

To solve this, we need to use the formula for the probability of an intersection of independent events.

Since the probability of getting a good unit is 9/13, then the probability of getting 4 good units in a row is calculated as follows:

P(All 4 units are good) = P(Good unit) × P(Good unit) × P(Good unit) × P(Good unit) = 9/13 × 9/13 × 9/13 × 9/13 = 47829609/232044048 = 0.2067 (approx)

(b) What is the probability that exactly two units are good?

Here, we need to use the binomial probability formula since the number of good units follows a binomial distribution. We need to find the probability of getting exactly 2 good units, given that we are purchasing 4 units.

P(exactly 2 units are good) = C(4,2) × P(Good unit)² × P(Defective unit)²

= 6 × (9/13)² × (4/13)²

= 52488/2320440

= 0.0226 (approx)

For similar question probability.

https://brainly.com/question/25428940

#SPJ11

To find the fraction of the square quilt block that is shaded, we need to count the number of shaded unit squares and divide it by the total number of unit squares in the quilt block. Let us begin by counting the number of shaded unit squares.

We notice that there are a total of 6 unit squares that are shaded. The unit squares that are shaded are the 2 squares that are completely shaded and the 4 squares that are half shaded due to the presence of triangles.

Next, we need to count the total number of unit squares in the quilt block. We notice that the quilt block is made up of 9 unit squares, each of which can be divided into 4 smaller unit squares. Thus, the total number of unit squares in the quilt block is 9 x 4 = 36.

Therefore, the fraction of the square quilt block that is shaded is 6/36 or 1/6.

To summarize, the shaded portion of the quilt block consists of 6 unit squares out of a total of 36 unit squares. Thus, the fraction of the square quilt block that is shaded is 1/6.

For more details about fraction click here:

https://brainly.com/question/10354322#
#SPJ11

An exponential model for the worth of the savings account is [tex]W = 1250(1.045)^t[/tex]

The worth predicted by the exponential model is greater than predicted by the linear model at the end of 2020 by $131.2.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

[tex]f(x) = a(b)^x[/tex]

Where:

Based on the information provided about the savings account, we would determine the growth rate as follows;

[tex]W = P_{0}e^{rt}[/tex]

Growth rate, r = 1/(1 - 0)ln(1250/1306)

Growth rate, r = ln(1250/1306)

Growth rate, r = 0.0438

In the form [tex]W = a(b)^t[/tex], the required exponential function is given by;[tex]W = 1250(1.045)^t[/tex]

Years = 2020 -2010 = 10 years.

From the linear function, we have:

W = 56t + 1250

W = 56(10) + 1250

W = $1,810.

From the exponential function, we have:

[tex]W = 1250(1.045)^t\\\\W = 1250(1.045)^{10}[/tex]

W = $1,941.2

Difference = $1,941.2 - $1,810

Difference = $131.2.

Read more on exponential functions here: https://brainly.com/question/30241796

#SPJ1

2= 2

4=10

i cant see 6 or 8

There is no solution if the boundary conditions are inconsistent, i.e., if y(0) ≠ y(L) = 1.

We are given the boundary-value problem:

y" + 16y = 0, y(0) = 1, y(L) = 1

The characteristic equation is r^2 + 16 = 0, which has roots r = ±4i.

The general solution to the differential equation is then y(x) = c1cos(4x) + c2sin(4x).

Using the boundary conditions, we get:

y(0) = c1 = 1

y(L) = c1cos(4L) + c2sin(4L) = 1

Substituting c1 = 1 into the second equation, we get:

cos(4L) + c2*sin(4L) = 1

Solving for c2, we get:

c2 = (1 - cos(4L))/sin(4L)

Thus, the general solution to the differential equation that satisfies the given boundary conditions is:

y(x) = cos(4x) + (1 - cos(4L))/sin(4L)*sin(4x)

Now, we can answer the questions:

(a) To have precisely one nontrivial solution, we need the coefficients c1 and c2 to be uniquely determined. From the above expression for c2, we see that this is only possible if sin(4L) is nonzero. Thus, if sin(4L) ≠ 0, there exists precisely one nontrivial solution.

(b) If sin(4L) = 0, then c2 is undefined and we have a family of solutions that differ by a constant multiple of sin(4x). Hence, there are infinitely many solutions.

(c) There is no solution if the boundary conditions are inconsistent, i.e., if y(0) ≠ y(L) = 1.

To learn more about nontrivial solution visit: https://brainly.com/question/30452276

#SPJ11

Answer: 6

Step-by-step explanation:

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 78 are: 1, 2, 3, 6, 13, 26, 39, 78

Then the greatest common factor is 6.

Heres something you need to learn about the greatest common factor (gcf)

What is the Greatest Common Factor?

The largest number, which is the factor of two or more numbers is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors that are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)

Let us consider the example given below:

Greatest Common Factor (GCF)

For example – The GCF of 18, 21 is 3. Because the factors of the number 18 and 21 are:

Factors of 18 = 2×9 =2×3×3

Factors of 21 = 3×7

Here, the number 3 is common in both the factors of numbers. Hence, the greatest common factor of 18 and 21 is 3.

Similarly, the GCF of 10, 15 and 25 is 5.

How to Find the Greatest Common Factor?

If we have to find out the GCF of two numbers, we will first list the prime factors of each number. The multiple of common factors of both the numbers results in GCF. If there are no common prime factors, the greatest common factor is 1.

Finding the GCF of a given number set can be easy. However, there are several steps need to be followed to get the correct GCF. In order to find the greatest common factor of two given numbers, you need to find all the factors of both the numbers and then identify the common factors.

Find out the GCF of 18 and 24

Prime factors of 18 – 2×3×3

Prime factors of 24 –2×2×2×3

They have factors 2 and 3 in common so, thus G.C.F of 18 and 24 is 2×3 = 6

Also, try: GCF calculator

GCF and LCM

Greatest Common Factor of two or more numbers is defined as the largest number that is a factor of all the numbers.

Least Common Multiple of two or more numbers is the smallest number (non-zero) that is a multiple of all the numbers.

Factoring Greatest Common Factor

Factor method is used to list out all the prime factors, and you can easily find out the LCM and GCF. Factors are usually the numbers that we multiply together to get another number.

Example- Factors of 12 are 1,2,3,4,6 and 12 because 2×6 =12, 4×3 = 12 or 1×12 = 12. After finding out the factors of two numbers, we need to circle all the numbers that appear in both the list.

Greatest Common Factor Examples

Example 1:

Find the greatest common factor of 18 and 24.

Solution:

First list all the factors of the given numbers.

Factors of 18 = 1, 2, 3, 6, 9 and 18

Factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24

The largest common factor of 18 and 24 is 6.

Thus G.C.F. is 6.

Example 2:

Find the GCF of 8, 18, 28 and 48.

Solution:

Factors are as follows-

Factors of 8 = 1, 2, 4, 8

Factors of 18 = 1, 2, 3, 6, 9, 18

Factors of 28 = 1, 2, 4, 7, 14, 28

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The largest common factor of 8, 18, 28, 48 is 2. Because the factors 1 and 2 are found all the factors of numbers. Among these two numbers, the number 2 is the largest numbers. Hence, the GCF of these numbers is 2.

If you know it, dont read it

The measure of the larger acute angle of the triangle can be calculated using trigonometric ratios or by subtracting the measure of the smaller acute angle from 90 degrees. Without further information or given measurements, it is not possible to determine the exact measure of the angle.

Let's consider the general formula for a right triangle where A, B, and C are the angles and a, b, and c are the corresponding sides opposite to each angle:

sin A = a/c, sin B = b/c, and sin C = a/b.

For an acute triangle, we know that the sum of all the angles is equal to 180 degrees, so A + B + C = 180. If the triangle is a right triangle, then one of the angles, say C, is equal to 90 degrees, and A + B = 90 degrees.

In this case, we are only given that the angles of the triangle are acute. Therefore, we can use the formula sin A = a/c, sin B = b/c and sin C = a/b to solve for the angles or use the fact that A + B + C = 180 degrees and A + B = 90 degrees to find the measure of the larger acute angle by subtracting the measure of the smaller acute angle from 90 degrees. However, without specific measurements or additional information, we cannot determine the exact measure of the angle.

for such more question on triangle

https://brainly.com/question/1058720

#SPJ11

Step-by-step explanation:

2x + 2y  = 28   <=====given

x * y = 40     <===given .....  re-arrange to :

           y = 40 / x    <===substitute this 'y'  into the first equation

2x + 2 ( 40/x) = 28   <=====solve for x

2x^2 -28x + 80 = 0

x^2 -14x +40 = 0

(x -10)(x-4) = 0                        shows x = 10 or 4    then y = 4 or 10

dimensions    10    and 4   inches

Answer:

4 or 10 inches

Step-by-step explanation:

I added a photo of my solution

The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

To learn more about “probability” refer to the https://brainly.com/question/13604758

#SPJ11

The amount of plastic wrap required to cover the entire cone will be 16.575 square inches.

To calculate how much plastic wrap is required to completely cover an ice cream cone with a slant height of 4.25 inches and a diameter of 2 inches, we must use the surface area of the cone.

Here, the ice cream cone can be visualized as a cone-shaped object with an added circular base.

We must use the following formula to calculate the surface area:

Surface area = πr2 + πrl

Where r is the radius and l is the slant height of the cone.

As we know the diameter of the ice cream cone is 2 inches, and its radius can be calculated by dividing it by

2.r = d/2 = 2/2 = 1 inch.

Substitute the values of r and l in the formula, and then calculate the surface area of the cone.

π = 3.14r = 1 inchl = 4.25 inches

Surface area = πr2 + πrl

                     = 3.14 × 1² + 3.14 × 1 × 4.25

                     = 3.14 + 13.435

                     = 16.575 square inches

for such more question on surface area

https://brainly.com/question/16519513

#SPJ11

The 4 in the hundredths place has a smaller value than the 4 in the tens place.

In the decimal number system, each digit to the left of the decimal point represents a power of 10, starting with 10^0 = 1 for the rightmost digit. Each digit to the right of the decimal point represents a negative power of 10, with the place value decreasing as you move farther to the right.

In the number 240.149, the 4 in the tens place represents 4 x 10 = 40. The 4 in the hundredth place represents 4/100 or 0.04, which is smaller than 40. Therefore, the 4 in the tens place has a greater value than the 4 in the hundredths place.

Hence, the value of a digit in a decimal number depends on its position relative to the decimal point. Digits to the left of the decimal point represent whole numbers, while digits to the right of the decimal point represent fractions or parts of a whole.


To know more about the decimal number system, refer here:

https://brainly.com/question/30477589#

#SPJ11

Jessica's position relative to the surface of the water after making 4 additional stops is 45 meters below the surface.Option(A) is correct.

Divers who engage in scuba diving use breathing apparatus that is entirely independent of a surface air source. Christian J. Lambert-sen came up with the moniker "scuba," which stands for "Self-Contained Underwater Breathing Apparatus," in a 1952 trademark application.

Jessica's position relative to the surface of the water can be represented by the following arithmetic sequence:

[tex]$$25, 30, 35, 40, 45$$[/tex]

where the first term is 25 and the common difference is 5 (the distance between each stop).

To find the fifth term (her position after making 4 additional stops), we can use the formula for the nth term of an arithmetic sequence:

[tex]$$a_n = a_1 + (n-1)d$$[/tex]

where [tex]$a_1$[/tex] is the first term, d is the common difference, and n is the term number.

Plugging in the values we know, we get:

[tex]$$a_5 = 25 + (5-1)5 = 45$$[/tex]

Therefore, Jessica's position relative to the surface of the water after making 4 additional stops is 45 meters below the surface.

To know more about Meter visit:

brainly.com/question/22552981

#SPJ1