the cost of a computer repair is worked out using the formula C = 35 + 15h.
C represents the cost in dollars.
H is the time taken in hours.
use the formula to find the cost of repair that takes 3 hours.​

150 - 5.5n= 95 equation to model when the balloon will reach an altitude of 95 meters above the ground.

Two or more expressions with an Equal sign is called as Equation.

Given that,

A hot air balloon is cruising at an altitude of 150 meters above the ground when it begins its descent.

The balloon descends at a rate of 5.5 meters per minute.

We need to write an equation to model when the balloon will reach an altitude of 95 meters above the ground.

The equation is 150 - 5.5n= 95

Hence 150 - 5.5n= 95 equation to model when the balloon will reach an altitude of 95 meters above the ground.

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Answer: √141

Step-by-step explanation:

a^2=c^2-b^2

The hypotenuse is larger in this question so we subtract them.

25^2-22^2=625-484=141

√141

Answer:

x = √141  

or

x = 11.87

Step-by-step explanation:

is a right triangle, we solve it with the Pythagorean theorem ("In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".)

x² = 25² - 22²

x² = 625 - 484

x² = 141

x = √141  

or

x = 11.87

Answer:

6.50 × 65 tickets.

Answer = $422.5

The theater sells 43 adult tickets and 22 child tickets.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let us assume,

The number of adult tickets sold is x

The number of tickets sold for children is y

Since the total number of tickets sold is 65,

x + y = 65 .....(i)

Charge per adult ticket=$10.50,

So the amount collected by selling adult tickets is 10.50×x

Charge per child ticket=$6.50,

So the amount collected by selling tickets for children is 6.50×y

We know that the total amount earned by the theater is $594.50

So, 10.5x +6.5y = 594.50  ......(ii)

After solving equations (i) and (ii), we get the values of x and y as

x = 43 and y = 22

Therefore, the theater sells 43 adult tickets and 22 child tickets.

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Answer: 65$

Step-by-step explanation:

1. 40% of 150 is 60 so 60$ off of 150 is 90

2. total amount off is 85$. 60 is the 40% off and additional 25 for the rebate

3. final price will be 65$. 90-25=65

The measure of the lableled angles are x = 202 and  (x - 44) = 158

Before we can solve this question, we need to understand the geometry of the shape.

The shape we have here is a pentagon. The sum of angles in a pentagon is 540.  The angle with a red square is a right angle and the value is 90.

Therefore:

x + 90 + 90 + (x - 44) = 540

x + 180 + x - 44 = 540

2x + 136 = 540

2x = 540 - 136

2x = 404

x = 404/2

x = 202

Also:

(x - 44) = 202 - 44 = 158

Therefore, the angles x and (x - 44) measure 202 and 158 respectively.

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The unknown value x in the polygon is equal to 112 degrees.

The sum of angles in the given polygon be equal to 360 degrees. This implies that when we add all the total sides together, we must have a total of 360 degrees.

Since one of the indicated sides is a right angle, we can sum everything up and solve for x

Mathematically;

[tex]90 + 90 + x +(x - 44) = 360[/tex]

Solving the equation above;

[tex]180 + x + x - 44 = 360\\180 + 2x - 44 = 360\\x = 112[/tex]

The value of x in the figure given is 112.

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The number of each type of coins are as follows:

q = 15 quarters.

d = 30 dimes.

n = 25 nickels.

In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Let d represent the number of dimes.

Let q represent number of quarters.

Let n represent number of nickels.

Let T represent total number of coins.

Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.

Translating the word problem into an algebraic equation, we have;

Dimes; d = 2q     .....equation 1.

Nickels; (70 - (q + 2q)) = (70 - 3q)     .....equation 2.

Total coins; T = n + d + q

0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00

Multiplying all through by 100, we have:

5(70 - 3q) + 2q(10) + q(25) = 800

350 - 15q + 20q + 25q = 800

350 + 30q = 800

30q = 800 - 350

30q = 450

q = 450/30

q = 15 quarters.

For the number of dimes, we have:

Dimes, d = 2q

Dimes, d = 2(15)

Dimes, d = 30 dimes.

For the number of nickels, we have:

Nickels, n = (70 - 3q)

Nickels, n = (70 - 3(15))

Nickels, n = (70 - 45)

Nickels, n = 25 nickels.

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[tex]\frac{dx}{dy} = \frac{5}{3}. 4\frac{ft}{s} = \frac{20}{3}\frac{ft}{s}[/tex] is moving at the speed of the shadow

x is the distance from the man to the pole, and y is the distance from the tip of the man's shadow to the pole. I assume the man and pole are standing straight up, which means the two cases are similar.

[tex]\frac{y-x}{y} = \frac{6}{15}[/tex]

15(y-x) = 6y

9y = 15x

[tex]\frac{5}{3}x\\[/tex] = y

differentiate both sides with respect to t or time.

[tex]\frac{dx}d{y} = \frac{5}{3}\frac{dx}{dt}[/tex]

you know [tex]\frac{dx}{dy} = 4\frac{ft}{s}[/tex] because the man is walking that speed away from the pole. you want to find [tex]\frac{dx}{dy}[/tex] , how fast the tip of the shadow is moving.

that means

[tex]\frac{dx}{dy} = \frac{5}{3}. 4\frac{ft}{s} = \frac{20}{3}\frac{ft}{s}[/tex]

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The rational equation is equivalent to the polynomial 27 · x² - 36 · x + 12.

In this case we find a rational equation whose numerator and denominator are polynomials, which must be simplified by using algebra properties. The complete procedure is now shown:

(9 · x - 6)² / (2 · x⁴ + 4 - 2 · x⁴ - 1)                  Given

(81 · x² - 108 · x + 36) / (3)                             Perfect square binomial / Associative, commutative and modulative properties / Existence of additive inverse /Definition of subtraction

27 · x² - 36 · x + 12                                        Addition and subtraction of fractions with same denominator / Associative and commutative properties / Definition of division

The rational equation is equivalent to the polynomial 27 · x² - 36 · x + 12.

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The time taken for Montraie to travel a distance of 88 miles is 2 hours.

Speed is simply referred to as distance traveled per unit time.

It expressed mathematically as;

Speed = Distance ÷ time.

Given the data in the question;

First, we determine the speed of Montraie.

Speed = Distance ÷ time.

Speed =  220 miles ÷ 5 hours

Speed = 44 miles per hour.

Now, time spent in traveling a distance of 88 miles will be;

Speed = Distance ÷ time

Time = Distance / Speed

Time = 88 miles / 44 miles per hour

Time = 2 hours

Therefore, the elapsed time is 2 hours.

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If Montraie drove 220 miles in 5 hours. If he continued at the same rate, then it takes 2 hours to travel 88 miles.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Montraie drove 220 miles in 5 hours.

We need to find how long it would take to reach 88 miles.

Let us form a equation based on given data.

Let x be the time to reach 88 miles.

We need to find value of x.

220/5=88/x

Apply cross multiplication

220x=440

x=440/220

x=2

Hence it takes 2 hours to travel 88 miles with same rate.

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P

OQ = 4S - 10

OP = 23

PQ = 1

Equation

OQ = OP + PQ

Substitution

4S - 10 = 23 - 1

Simplification

4S = 22 + 10

4S = 32

S = 32/4

S = 8

Determine OP

OQ = 4(8) - 10

OQ = 32 - 10

OQ = 22

121670000 different license plates are possible.

A license plate consists of 7 characters.

The first 4 characters are numerals from 0 to 9.

each character can be in 10 ways

so possible ways = 10 * 10 * 10 * 10  = 10000

The last 3 characters are letters excluding I, O, and X.

                    Each character can be in 26 - 3 = 23 Ways

                         Possible ways = 23 *23 * 23  = 12167

Number of possible different license plates  = 10000 * 12167

                                                                          = 121670000

Motor vehicle registration is the registration of a motor vehicle with a public authority, whether compulsory or otherwise. The purpose of registering a motor vehicle  is to establish a link between the vehicle and the owner or user of the vehicle. This link may be used for taxation or criminal investigations.

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Answer

Part A

(g o h)(x) = x - 1

Part B

Domain of (g o h) = (-∞, ∞)

Explanation

Part A

We are given that

g(x) = x² + 3

h(x) = √(x - 4)

We are then asked to find (g o h)(x)

To do that, we need to note that (g o h)(x) means we write g(x), but instead of x, we write h(x). That is,

(g o h)(x)

= g(h(x))

= [h(x)]² + 3

= [√(x - 4)]² + 3

= x - 4 + 3

= x - 1

Part B

To find the domain

The domain of a function refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists.

And for (g o h)(x) = x - 1, we know there will be an answer for all real number values of x. Hence,

Domain = (-∞, ∞)

Hope this Helps!!!

The solution to the inequalities given are graphed in the diagram attached below.

When graphing an inequality, a full circle is used when the sign involved is "≤ or ≥", while an empty circle is used to indicate the point on the graph when the inequality sign is "< or >".

The inequalities would be solved as shown below:

15. ¾x + 5 > 11

Subtract 5 from both sides

¾x > 11 - 5

¾x > 6

3x > 24

Divide both sides by 3

3x/3 > 24/3

x > 8

16. -5/6x - 1 ≥ 14

Add 1 to both sides

-5/6x ≥ 14 + 1

-5/6x ≥ 15

-5x ≥ 90

Divide both sides by -5

x ≤ -18

17. 5x - 2 ≤ -7

Add 2 to both sides

5x ≤ -7 + 2

5x ≤ -5

x ≤ -1

18. 6 - x ≤ 14

Subtract 6 from both sides

-x ≤ 14 - 6

-x ≤ -8

x ≥ 8

19. 4 - 1/3x > 11

Subtract 4 from both sides

-1/3x > 11 - 4

-1/3x > 7

-x > 21

x < -21

20. (x + 11)/-2 < -2

x + 11 < 4

Subtract both sides by 11

x < 4 - 11

x < -7

See the image below for the graph of the solution to each inequality given.

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1) How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?

In this case we can combine 30 types of candy bars in a set of 4 bars.

This can be calculated as a combination of 30 in 4 with no repetition:

Answer: 27,405 possible combinations (C).

2) How many ways can 13 students line up for lunch?

In this case we have a permutation of 13 in 13 with no repetition.

We can calculate this as:

Answer: 6,227,020,85)00 possible permutations (P).

3) How many ways can you make a 3-letter arrangements out of the letters in the word TRAPEZOID.

In the word we have 9 letters with no repetition, so we have to calculate a permutation (as order matters) of 9 letters in 3 places.

We can calculate this as:

Answer: 504 possible permutations (P).

4) How many ways can you choose 2 books from a shelf of 40 books.

In this case, the order does not matter, so it is a combination of 40 in 2.

This can be calculated as:

Answer: 780 possible combinations (C)

5) How many ways can 12 swimmers finish in first, second, and third place?

In this case, the order does matter, so we have a permutation of 12 in 3:

Answer: 1320 permutations (P)

6) How many ways can Mrs. Sullivan choose two students from 27 to help put away calculators at the end of class?

The order does not matter between the two students, so it is a combination of 27 in 2:

Answer: 351 combinations (C)

Considering the definition of parallel line, a line that is parallel to y=2x-4 and passes through the point (1, 1) is y= 2x -1.

A linear equation o line can be expressed in the form y = mx + b

where

Parallel lines are two lines that are always at the same distance from each other and never touch.

Two lines are parallel if they have the same slope "m" and different y-intercepts "b".

In this case, the line is y=2x -4

where:

Since two lines are parallel if they have the same slope, the parallel line has a slope of 2 and has a form of: y= 2x + b

The line passes through the point (1, 1). Replacing in the expression for parallel line:

1= 2×1 + b

1= 2 + b

1 -2= b

-1 = b

Finally, the equation of parallel line is y= 2x -1 .

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Given:

a.) A person had 14,000 infested in two accounts.

b.) One paying 9% simple interest.

c.) One paying 10% simple interest.

Let,

x = the amount invested at 9% simple interest

y = the amount invested at 10% simple interest

1.) We know the total amount of money invested is $14,000. We get,

x + y = 14,000

2.) We know that the total interest for the year for the two accounts is $1432. We get,

0.09*x + 0.1*y = 1,339

Let's equate the two equations,

x = 14,000 - y (Substitute for x)

0.09*(14,000 - y) + 0.1*y = 1,339

1,260 - 0.09y + 0.1y = 1,339

0.1y - 0.09y = 1,339 - 1,260

0.01y = 79

0.01y/0.01 = 79/0.01

y = 7,900

Therefore, $7,900 was invested at the rate of 10% simple interest.

Let's determine x, substituting y = 7,900 in x + y = 14,000.

x + y = 14,000

x + 7,900 = 14,000

x = 14,000 - 7,900

x = 6,100

Therefore, $6,100 was invested at the rate of 9% simple interest.

The unknown angle in the triangle is as follows;

The angle H can be found using the exterior angle theorem.

The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

In other words,  an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Hence,

∠DFG = ∠G + ∠H

∠DFG = 14x + 1

∠G  = 89°

∠H = 5x - 7

14x + 1 = 89 + 5x - 7

14x + 1 = 89 - 7 + 5x

14x - 5x = 89 - 7 - 1

9x = 81

divide both sides by 9

x = 81 / 9

x = 9

Therefore,

∠H = 5(9) - 7 = 45 - 7 = 38 degrees.

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The third option is the correct method that solves for the variable r in the equation

Given the equation: 3/8r+ 2 = 14

Subtract 2 from both sides:

3/8r = 12

Multiply both sides by 8:

3r = 12 x 8

3r = 96

Divide both sides by 3:

r = 96/3 = 32

Therefore, the method that solve the variable r in the equation correctly is the third option.

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Answer:

2.25

Step-by-step explanation:

Answer:

2.25

Please:
Please Give Brainlist

The option that is not a statistical question is D. how tall are the corn plants?

A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.

A statistical question is one that can be answered by gathering varying amounts of data. A statistical inquiry is one that yields varying responses and outcomes (data). It must be collected on more than one person and there must be room for the facts to vary.

Therefore, based on the information illustrated, the correct option is D. It was too general and not specific

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slope = -1/2

y-intercept = (0, -1)

Given:

To find:

the slope and the y-intercept

To determine the slope we will use the linear function formula:

We need to rewrite the given equation in the form above so as to get the slope

From the above, m = -1/2

Hence, the slope is -1/2

The y-intercept is the value of y when x = 0

To get the y-intercept, we will substitute x with 0:

The percentage of students that like rap that are also in grades 9–10 = 32%.

A frequency table is the type of table that shows the number of occurrence of different types of variables of an experiment.

From the frequency table given;

In grade 9 - 10;

Rap students = 40 students

Rock students = 30 students

Country students = 55 students

The total students in grade 9 - 10 = 125

Therefore, the percentage of rap students in grade 9 - 10;

= 40/125×100/1

= 4000/125

= 32%

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Answer:

1. Fact that all individuals are created equal and are endowed by their creator with certain unalienable rights is a clear statement in the Declaration of Independence.

2. Aim of having a government is to safeguard these rights,  the people have the right and the duty to alter, abolish, or over through that government.

3. The Decoration of Independence lists the grievances that the government has failed to resolve and reconcile with the colonies.

4. The decree was made to become an autonomous nation and the motives for asserting independence are listed in the grievances.

The correct equations which can be used to represent when she will be able to purchase the bicycle she wants are:

Given, Eva wants to buy a bicycle.

The cost of bicycle is = $250

Saving's of Eva = $125

Eva plans on washing cars for $25 per car.

Eva wash 'c' cars to have enough to purchase the bicycle.

cost of bicycle = saving's of Eva + Eva washing 'c' cars for $25 per car.

⇒ 250 = 125 + 25c

arrange the like terms on one side.

⇒ 250 - 125 = 25c

⇒ 125  = 25c

⇒ 25c = 125

⇒ c = 125/25

⇒ c = 5

hence Eva washes 5 cars to earn $125 which gets added to the savings and becomes the cost of the bicycle she wants to purchase.

⇒ cost of bicycle = 125+25(5)

⇒ cost of bicycle = 125+125

⇒ cost of bicycle  = $250

Hence we got the required answers.

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The volume of the glass is 454.16cm² and the number of glasses filled upto a horizontal line of 2 cm from top is 4

A cylindrical drinking glass has radius 3 cm and height 8 cm.

The volume of a cylinder is 2πr²h

= 2 (3.14) 3² x 8

= 452.16cm³

The jug contains 1.5 litres of water

1 litre = 1000cm³

1.5 litre = 1500cm³

The volume of glass if it is filled upto a horizontal line 2 cm from the top.

volume =  2πr²h

= 2 (3.14) 3² x 6

= 339.12cm³

Number of glasses filled = 1500/339.12 = 4.42

4 glasses can be filled up to the line from the jug

Therefore, the volume of the glass is 454.16cm² and the number of glasses filled upto a horizontal line of 2 cm from top is 4

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SOLUTION

Consider the image given below.

From the image above,

To find the measures of each angle, we need to obtain the value of small x in the diagram.

Applying the rule: Sum of angle in a triangle is 180 degrees

Then substitute the given expression, we have

Collect like terms and add

Divide both sides by 6, we have

hence, x=30

Then substitute the value of x to obtain the measure of each angles.

Since the triangle is an issoceles triangle, then

Hence

Therefore

Answer : ∠V= 28°, ∠W=28°, ∠X=124°

Answer:

[tex] \csc(θ) = \frac{1}{ \sin(θ) } [/tex]

We have to indicate the steps to follow in order to evaluate:

(12.9-3.1) x 6.2-2 + 43

So FIRST: we solve for the operation indicated inside the parenthesis

12.9 - 3.1 = 9.8 (we subtract 3.1 from 12.9)

This is the answer you need to select.

Given:

Numbers in the container: All integers from 10 to 50

Let's find P(Prime numbers| numbers between 11 and 30).

Here, we are to find the conditional probability.

Apply the formula:

P(Prime|between 11 and 30) = P(prime numbers and between 11 and 30) ÷ P(numbers between 11 and 30).

Where:

• Prime numbers between 11 and 30 = 11 , 13 , 17 , 19 , 23 , 29 =6 numbers

• Intergers from 10 to 50 = 41 integers.

To find the probability, we have:

Therefore, we have:

P(Prime|between 11 and 30) = 3/10.

ANSWER:

D. 3/10