Four friends want to share a package of cookies with m number of cookies in it which expression represents the numbers of cookies each friends will get

Answers

Answer 1

Based on the case, we know that four friends want to share their cookies package. The number of the cookies is represent by 'm'. So, how many part for each friends will get?

We can solve the case by 'fraction'. Fractions represent the parts of a whole objects. A fraction is arranged by two parts. First, numerator is the number on the top of the line. Basically, numerator is how many equal parts of the whole objects are taken.  Second, denominator is the number below the line. In the other word, denominator is the total number.

If four friends want to share the whole package of cookies, is means that the package will be divided to 4 parts. The whole part is represented by 'm'. So, the fraction form that can describe this case is each friends will get [tex]\frac{1}{4}[/tex] m.

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Related Questions

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (2, −1)? y = Negative one-thirdx − One-third y = Negative one-thirdx − Five-thirds y = 3x − 3 y = 3x − 7

Answers

1st , 3rd & 5th choices

Step-by-step explanation:

perpendicular line would have a slope that is a

negative reciprocal

so if the slope is 3 then a perpendicular line would have a slope of -1/3

y - 1 = 1/3 (x + 2)

make the line look like y = mx + b

y = 1/3 (x + 2) + 1

y = 1/3 (x + 2) + 3/3

y = 1/3x + 2/3 + 3/3

y = 1/3x + 5/3

m = 1/3

perpendicular line has a slope of

m = -3

Please help asap
this is an assignment due today please help real quick
no fake answers

Answers

Answer:

where???????????????

Find the mean and population standar deviation for each data set.

Hours slept

Answers

Mean of given set is 7.8

Define mean.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value." It is a statistical idea with significant financial implications.

Given,

Mean:

Formula:

Sum = 118.25

Total = 15

[tex]\frac{sum}{total}[/tex]

[tex]\frac{6.75 + 6.5 + 7 +8 +7+8.75+7.25+5.75+9.25+7.75+7+7.5+8+7.5+8+6.25}{15}[/tex]

= [tex]\frac{118.25}{15}[/tex]

= 7.8

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3. Arrange the like terms in columns and add them. - a) 2x³ - 7x⁴ + 7x⁵ and 11x³ - 4x⁴ – x b) -2p - 3p² and 1 - 5p + 8p²​

Answers

The required solution of the expressions is (a) 7x⁵ + 13³ - 11x⁴ - x, (b) 5p² - 7p + 1.

Given that,
To arrange the like terms in columns and add them. - a) 2x³ - 7x⁴ + 7x⁵ and 11x³ - 4x⁴ – x b) -2p - 3p² and 1 - 5p + 8p²​.

What is an algebraic expression?

The algebraic expression consists of constant and variable. eg x, y, z, etc.

Here,
(a)
= 2x³ - 7x⁴ + 7x⁵ + 11x³ - 4x⁴ – x
= 7x⁵ - 7x⁴  - 4x⁴+ 2x³ + 11x³– x
=  7x⁵ + 13³ - 11x⁴ - x,

(b)
=  -2p - 3p² +  1 - 5p + 8p²
= 1  -2p - 5p -3p² + 8p²
=  1 - 5p + 8p²​

Thus, the required solution of the expressions is (a) 7x⁵ + 13³ - 11x⁴ - x, (b) 5p² - 7p + 1.

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The required solutions to the given polynomials are 13x³- 11x⁴+ 7x⁵  – x and - 7p + 5p²​+ 1.

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers.

The polynomials are given in the question :

2x³ - 7x⁴ + 7x⁵, and 11x³ - 4x⁴ – x

-2p - 3p² and,1 - 5p + 8p²​

According to the question,

⇒ 2x³ - 7x⁴ + 7x⁵ + 11x³ - 4x⁴ – x

Rearrange the terms and apply the arithmetic operation,

⇒ 2x³ + 11x³- 7x⁴- 4x⁴ + 7x⁵  – x

⇒ 13x³- 11x⁴+ 7x⁵  – x

⇒ -2p - 3p² + 1 - 5p + 8p²​

Rearrange the terms and apply the arithmetic operation,

⇒ -2p - 5p - 3p²  + 8p²​+ 1

⇒ - 7p + 5p²​+ 1

Thus, the required solutions to the given polynomials are 13x³- 11x⁴+ 7x⁵  – x and - 7p + 5p²​+ 1.

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What is the slope of a line perpendicular to the line whose equation is 3x+18y=108. Fully simplify

Answers

The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.

Given a line 13x + 18y=108, this slope intercept form can be written as,

3x + 18y = 108

18y = 108 - 3x

y = (108 /18) - (3/18)x.

y = (6) - 1x/6.

y = -(1/6)x + 6.

∴ The slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).

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Solve the trig equation on the interval [tex]0 \leqslant theta \: \ \textless \ 2\pi[/tex][tex]3 sec \: \: theta \: - 2 \sqrt{3 } = 0[/tex]

Answers

Answer:

pi/6 and 11pi/6

Explanation

Given the trigonometry equation:

[tex]\begin{gathered} 3\text{sec}\theta\text{ - 2}\sqrt[]{3}=0 \\ \end{gathered}[/tex]

Add 2\sqrt[3] to both sides as shown;

[tex]\begin{gathered} 3\sec \theta-2\sqrt[]{3}=0+2\sqrt[]{3} \\ 3\sec \theta\text{ = 2}\sqrt[]{3} \\ \sec \text{ }\theta\text{ = }\frac{2\sqrt[]{3}}{3} \\ \frac{1}{\cos \theta}=\frac{2\sqrt[]{3}}{3} \\ \cos \theta\text{ =}\frac{3}{2\sqrt[]{3}} \\ \cos \text{ }\theta\text{ = }\frac{3\sqrt[]{3}}{2\cdot3} \\ \cos \text{ }\theta\text{ = }\frac{\sqrt[]{3}}{2} \\ \end{gathered}[/tex]

Take the cos inverse of both sides

[tex]\begin{gathered} \cos ^{-1}(\cos \theta)=cos^{-1}\frac{\sqrt[]{3}}{2} \\ \theta=cos^{-1}\frac{\sqrt[]{3}}{2} \\ \theta=30^0 \end{gathered}[/tex]

Since theta is between 0 and 2pi

theta = 360 - 30

theta = 330^0

Convert to radians

180^0 = pi rad

30^0 = x

180x = 30pi

x = 30pi/180

x = pi/6

Similarly;

180^0 = pi rad

330^0 = x

180x = 330pi

x = 330pi/180

x = 11pi/6

Hence the value of thets between 0 and 2pi are pi/6 and 11pi/6

complete the two-column proof.
pleasee

Answers

∠2 ≅ ∠4 and m∠2 = 110°, and proved  m<3 = 70⁰.

The answers of the blank lines are:

A . Vertically opposite angle.

B . Linear angle .

C . Hence proved  .

Solution:

Given ,

∠2 ≅ ∠4 and m∠2 = 110°.

We have to prove

m<3 = 70⁰

Here ,

m<2 = m<4 => They are vertically opposite angles.

And here ,

m<3 and m<4 are supplementary angles.

m∠3 + m∠4 = 180° => linear angle .

m<4 = 110⁰  => since  m<2 = m<4

By substituting m∠4  we get,

m∠3 + m∠4 = 180°

= m∠3 + 110 = 180

= 180 - 110

m∠3 = 70°

Hence proved.

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How many students age 15 and above take a car to school? Show work
A. 18
B. 38
C. 87

Answers

im pretty sure its B or most likeley C

b:38

98 (total amt of students who take cars) - 60 (amount of students under 15 who take cars) = 38

What is the slope of the line shown?

Answers

Answer:

-11/6

Step-by-step explanation:

you can use rise over run to find your answer

a department store chain is expanding into a new market, and is considering 16 different sites on which to locate 7 stores. assuming that each site is equally likely to be chosen, in how many ways can the sites for the new stores be selected?

Answers

A department store chain that is entering a new area is looking at 16 possible locations for the placement of its 7 outlets. There are 57657600 many possible ways to the sites for the new stores.

Given that,

A department store chain that is entering a new area is looking at 16 possibility locations for the placement of its 7 outlets.

We have to find how many different possibility are there to choose the locations for the new businesses, provided that each site has an equal chance of being chosen.

By multiplying the number of possibilities each store has, we may determine the total number of ways.

It can be put on 16 sites for store 1. 15 locations can accommodate Store 2 (since store 1 is already on site 1). Up until shop 7, which has 10 sites, store 3 can be situated on 14 sites.

The quantity of ways is thus:

= 16 × 15 × 14 × 13 × 12 × 11 × 10

= 57657600

Therefore, there are 57657600 many possible ways to the sites for the new stores.

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Given: angle CDE congruent to angle CED,
Angle A = angle B
Prove: DE || AB

Please explain the statement and reasoning

Ex: AB is congruent (the sign) to DE. Given

Ill reward brainliest to the one who explains it best ty

Answers

1) [tex]\angle CDE \cong \angle CED, \angle A \cong \angle B[/tex] (given)

2) [tex]m\angle CDE=m\angle CED, m\angle A=m\angle B[/tex] (definition of congruent angles)

3) [tex]m\angle C+m\angle CDE+m\angle CED=180^{\circ}, m\angle C+m\angle A+m\angle B=180^{\circ}[/tex] (sum of angles in a triangle)

4) [tex]m\angle C+2m\angle CDE=180^{\circ}, m\angle C+2m\angle A=180^{\circ}[/tex] (substitution)

5) [tex]m\angle C=180^{\circ}-2m \angle CDE, m\angle C=180^{\circ}-2m\angle A[/tex] (subtraction)

6) [tex]180^{\circ}-2m \angle CDE=180^{\circ}-2m \angle A[/tex] (transitive)

7) [tex]-2m\angle CDE=-2m\angle A[/tex] (subtraction)

8) [tex]m\angle CDE=m\angle A[/tex] (division)

9) [tex]\angle CDE \cong \angle A[/tex] (definition of congruent angles)

10) [tex]\overline{DE} \parallel \overline{AB}[/tex] (converse of corresponding angles theorem)

Trenton’s scouting group made 100 T-shirts for a charity fundraiser. The circle graph below compares how many of each different-colored T-shirt they made.

If the angle measure of the section for purple is 54°, how many purple T-shirts did Trenton’s scouting group make?
(Get it right, I will give you brainliest, thanks and 5* rating)

Answers

Trenton’s scouting group make 15 purple T-shirts.

How to find how much percent 'a' is of 'b'?

Suppose a number is 'a'. Suppose another number is 'b'. We want to know how much percent of 'b' is 'a'. Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

We have been given that Trenton’s scouting group made 100 T-shirts for a charity fundraiser.

Also the angle measure of the section for purple is 54°, then;

54 / 360 = percent /100

percent = 15

Therefore, 15 percent of 100 T shirt would be;

15/100 x 100

15

Hence, Trenton’s scouting group make 15 purple T-shirts.

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I need help with the question above. I took a pic.

Answers

Answer:

[tex]S=\frac{12}{5}[/tex]

Step-by-step explanation:

The common ratio of the following sequence is:

[tex]\frac{\frac{9}{16}}{\frac{3}{2}}=\frac{3}{8}[/tex]

If the common ratio is less than 1 or greater than -1 but not 0, we can use the following expression to determine the sum of the infinite geometric series:

[tex]S=\frac{a_1}{1-r}[/tex]

Therefore, if we have a common ratio of 3/8 or 0.375 and the first term of the series is 3/2.

The sum would be:

[tex]\begin{gathered} S=\frac{\frac{3}{2}}{1-\frac{3}{8}} \\ S=\frac{\frac{3}{2}}{\frac{5}{8}} \\ S=\frac{24}{10}=\frac{12}{5} \end{gathered}[/tex]

find the derivative:f(x)= -3/ x^4

Answers

Given the function f(x), we can write it like this:

[tex]\begin{gathered} f(x)=-\frac{3}{x^4} \\ \Rightarrow f(x)=-3x^{-4} \end{gathered}[/tex]

Using the formula for polynomial derivatives, we get:

[tex]\begin{gathered} f(x)=-3x^{-4} \\ \Rightarrow f^{\prime}(x)=-3\cdot(-4)x^{-4-1}=12x^{-5} \\ f(x)=\frac{12}{x^5} \end{gathered}[/tex]

Therefore, the derivative f'(x) is 12/x^5

PLEASE HELP! this is probably easy, THANK YOU!

Answers

Answer:

The percent change in attendance from the 2014 to 2015 school year is a 11.5385% decrease, or 12% when rounded.

Make sure to mark as Brainliest if this is correct so others know that this is the correct answer.

Answer:

r u cheating or just need "HELP"

Step-by-step explanation:

Select the correct answer.
Which of the following represents a function?
A. The first graph
B. The second graph
C. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}
D.
x -5 -1 9 8 -1
y 1 7 23 17 1

Answers

Answer:

The answer is to the question A

Answer:

Its B 100%

i took the test and got it right

k bye :):):):):):):)

Step-by-step explanation:

Please help!

2|x-1| >2
5

Answers

Answer: 6, -4

Step-by-step explanation:

[tex]\frac{2}{5}|x-1| \geq 2\\\\|x-1| \geq 5\\\\x-1 \leq -5, x-1 \geq 5\\\\x \leq -4, x \geq 6[/tex]

a bike that goes from 6m/s to 16m/s in 20 seconds.

Answers

The initial velocity = vi = 6m/s

The final velocity = vf = 16 m/s

The total time = t = 20 seconds

The rate of change in velocity is called acceleration (a) that can be written as:

[tex]a\text{ = }\frac{Change\text{ in velocity}}{time}[/tex]

or

[tex]a\text{ = }\frac{vf-vi}{t}[/tex]

Put the values in the equation to get the value of 'a'.

[tex]a\text{ = }\frac{16\text{ - 6}}{20}[/tex][tex]a\text{ = }\frac{10}{20}[/tex]

or

[tex]a\text{ = }\frac{1}{2}[/tex]

hence, the value of a is 1/2.

Evaluate log2 10 using the change of base formula. Round your answer to the nearest thousandth.

Answers

Take into account the following property:

[tex]\log _ab=\frac{\log b}{\log a}[/tex]

Then, for the given expression you have:

[tex]\log _210=\frac{\log10}{\log2}=\frac{1}{\log }\approx3.322[/tex]

Hence, the answer is approximately 3.322

12 is 150% of what number

Answers

To get 150% of a given number x, we multiply it by 1.5

This way, we'll have that:

[tex]1.5x=12[/tex]

Solving for x,

[tex]1.5x=12\rightarrow x=\frac{12}{1.5}\rightarrow x=8[/tex]

Therefore, we can conclude that 12 is 150% of 8

help me please
help me :>

Answers

Based on the graphs and equations given, the simultaneous equations can be solved to give x = 1.5 and y = 5.5.

How to solve the simultaneous equation?

To solve the simultaneous equation, come up with the values of y using values of x in the given formulas:

For y = 3x + 1: the values of y will be:

When x = 1, then y will be:

= 3(1) + 1

= 4

When x = 2, then y will be:

= 3(2) + 1

= 7

When x = 3, then y will be:

= 3(3) + 1

= 9

For the equation, x + y = 7:

When x = 1, then y will be:

y = 7 - 1

= 6

When x = 2, then y will be:

= 7 - 2

= 5

When x = 3, then y will be:

= 7 - 3

= 4

When these are plotted on a graph, we find that the value of x is 1.5 and the value of y is 5.5. This is the point where the lines intersect.

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how many bit strings of length five either start with two zeros or end with two zeros? how many bit strings of length six either do not start with two zeros or do not end with two zeros? how many bit strings of length seven either start with four ones or end with four ones? how many bit strings of length eight do not start with a one or do not end with a one?

Answers

16 bit strings of length five either start with two zeros or end with two zeros are there; 32 bit strings of length six either do not start with two zeros or do not end with two zeros are there; 16 bit strings of length seven either start with four ones or end with four ones are there and 256

bit strings of length eight do not start with a one or do not end with a one are there.

A string is a combination which is made up of only two characters, either 1 or 0.

So, the combinations of the string can be found,

If the length of the bit string is 5, it means it will have 5 characters.

If this string either start with two zeroes or end with two zeroes. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2)

= 16

16 such bit strings are possible.

If the length of the bit string is 6, it means it will have 6 characters.

If this string either do not start with two zeroes or do not end with two zeroes. It mean there are only four positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2×2)

= 32

So, 32 such strings are possible.

Now, If the length of the bit string is 7, it means it will have 7 characters.

If this string either start with four ones or end with four ones. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×1×1×2×2×2)

= 16

So, 16 such strings are possible.

If the length of the bit string is 8, it means it will have 8 characters.

If this string either do not start with one and do not end with one. It mean there are only seven positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×2×2×2×2×2×2×2)

= 256

So, 256 such strings are possible.

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Find the range, the standard deviation, and the variance for the given samples. Round non-integer results to the nearest tenth.−10, −16, −21, −24, −4, −30, −32 range ________standard deviation __________variance __________

Answers

From the given values, we can see that the lowest values is -32 and the highest value ie -4. Since the range is the difference betwwwn the highest and the lowest value, the range is

[tex]\begin{gathered} \text{Range}=-4-(-32) \\ \text{Range}=28 \end{gathered}[/tex]

On the other hand, the sample variance formula is

[tex]S^2=\sqrt[]{\frac{\sum ^7_{n\mathop=1}(x-\bar{x})^2}{n-1}}[/tex]

where x^bar is the mean and n is the total number of sample elements. In our case, n=7 and the mean is

[tex]\begin{gathered} \bar{x}=\frac{-10-16-21-24-4-30-32}{7} \\ \bar{x}=-\frac{137}{7} \\ \bar{x}=-19.5714 \end{gathered}[/tex]

Then, the sample variance is given by

[tex]\begin{gathered} S^2=\frac{(-10-19.57)^2+(-16-19.57)^2+(-21-19.57)^2+\cdot\cdot\cdot+(-32-19.57)^2}{6} \\ S^2=105.2857 \end{gathered}[/tex]

Since the standard deviation is the square root of the sample variance, we have

[tex]\begin{gathered} S=\sqrt[]{105.2857} \\ S=10.26088 \end{gathered}[/tex]

By rounding the solutions to the nearest tenth, the answers are:

[tex]\begin{gathered} \text{Range}=28 \\ \text{Variance}=105.3 \\ \text{ Standard deviation = 10.3} \end{gathered}[/tex]

Draw and label a figure that shows line z intersecting plane R at point M.

Answers

A figure that shows line z intersecting plane R at point M could be like:

The plane is black, the line is red and the point is blue.


Apply the laws of exponents to evaluate the expression.
(0.5) (0.5) 4
(0.5)²

Answers

After evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².

What are exponents?Exponentiation is a mathematical operation that involves the base b and the exponent or power n. It is written as bn and is pronounced as "b to the n." There are four different types of exponents: positive, negative, zero, and rational/fractional. By interpreting the exponent as the total number of times the base number must be multiplied by the same base, one can determine the value of the number. Exponents laws: Keep the base constant when multiplying like bases and add the exponents. Keep the base constant and multiply the exponents when raising a base with power to another power. When dividing with like bases, keep the base constant and deduct the exponents of the numerator and denominator.

So, evaluate "(0.5)∧(0.5)∧4 + (0.5)²" using laws of exponents:

Then,

(0.5)∧(0.5)∧4 + (0.5)

By law: Power of power rule

(0.5)∧(0.5)×4 + (0.5)(0.5)²+ (0.5)²2(0.5)²

Therefore, after evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².

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The correct question is given below:
Apply the laws of exponents to evaluate the expression.

(0.5)∧(0.5)∧4 + (0.5)²

The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is 18 inches in diameter.

Suppose a standard dartboard is hung at standard height so that the bull's-eye is 12 feet from a wall to its left.

Brian throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5 feet above the floor.

Does Brian's dart land on the dartboard?

Drag the choices into the boxes to correctly complete the statements.

Answers

Considering the equation of a circle, it is found that:

The equation of the circle that represents the dartboard is [tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 = 81[/tex], where the origin is the lower left corner of the room and the unit of the radius is in inches;The position of Brian's dart is represented by the coordinates (11.5, 5). Brian's dart does land on the dartboard.

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given as follows:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In the context of this problem, we have that:

The radius of the circle is of 9 inches, as the diameter is of 18 inches and the radius is half the diameter.The height is of 5 feet 8 inches = 5 feet and 2/3 feet = 17/3 feet, which is the y-coordinate of the center.The bull's-eye is 12 feet from a wall to its left, hence the x-coordinate of the center is of 12.

Hence the equation of the circle is given by:

[tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 = 81[/tex]

Brian's dart lands at the following position:

(11.5, 5)

All the points that land on the dartboard respect the following equation:

[tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 \leq 81[/tex]

For the coordinate where the dart landed, we have that:

(11.5 - 12)² + (5 - 17/3)² = 0.7 < 81, meaning that Brian's dart lands on the dartboard.

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Write a verbal sentence to represent each equation.
9.3n-3579
10. 2(n³ + 3n²) = 4n
11.
5n
n+3
-=n-8

Answers

The expression's variables can be represented by a different symbol than the conventional x and y.

A mathematical assertion represented in English is known as a verbal expression.

What does an algebraic verbal model mean?Talking Model is a formula utilizing the terms found in the problem. Labels matching variables or numerical values to the linguistic model Equational Expression Modification of the Verbal Model by the substitution of mathematical values and variables.

How to Convert Algebraic Expressions to Verbal Expressions.

Step 1: Recognize the algebraic operations—such as addition, subtraction, multiplication, and division—used in the expression.Step 2: Write a statement in which a vocabulary word is combined with the numbers to represent each of these processes.

Therefore, the expression's variables can be represented by a different symbol than the conventional x and y.

A mathematical assertion represented in English is known as a verbal expression.

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Which system of linear inequalities is represented by the graph? O y=x-2 and x-2y 4 O y=x + 2 and x + 2y = 4 O y=x-2 and x + 2y = 4 O y =x-2 and x + 2y =-4

Answers

The two inequalities are (option c) y > x - 2 and2y + x < 4

Given,

Let's start by locating the red-hued area.

If the shadow is visible to be over the line, then the situation will be as follows:

y > ax + b

Hence the equation for the line is ax + b.

The slope is a, and the y-intercept is b.

The line in the graph intersects the y-axis at y = -2, which results in:

b = -2

Two points on the line are required to determine the slope; these points are (0, -2), and (2, 0)

We are aware of the slope for a line passing through the points (x1, y1) and (x2, y2) as follows:

a = (y2 - y1)/(x2 - x1) (x2 - x1)

The slope for this line will then be:

a = (0 - (-2))/(2 - 0) = 2/2 = 1

Then this line's equation is:

1x - 2

And here's the inequality:

y > x - 2.

The shaded area of the blue one is below the line, thus we will have:

y < ax + b

The y-intercept in this situation is y = 2.

This line crosses through the points (0, 2) and, as can be seen (4, 0)

The slope is then:

a = (0 - 2)/(4 - 0) (4 - 0) = -2/4 = -1/2

This inequality is then:

y < (-1/2)x + 2

If we rewrite this using the choices, we get the following:

y < (-1/2)x + 2

2y < -x + 2 ×2

2y + x < 4

The two inequalities are (option c) y > x - 2 and2y + x < 4

Learn more about inequalities here:

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Answer: C

Step-by-step explanation:

7/5 convert improper fractions

Answers

Answer:

1 2/5

Step-by-step explanation:

Improper Fraction - A fraction that has a numerator that is larger than the denominator


Mixed Fraction - A fraction with a whole number, or a quotient with its remainder


In order to convert improper fractions to mixed fractions, you must divide the numerator by the denominator.


So, 7/5 = 7 ÷ 5 = 1 2/5


The quotient being 1, and the remainder being 2/5 because there is 2 left out of the 5.

Determine the number of terms in the arithmetic sequence below:-70, -69, -68, ..., 37, 38, 39, 40

Answers

Number of terms of sequence N

Difference D = -1

Then there are here

In negative part, 70 numbers

In positive x line, 40 numbers

And add also zero

Then, ANSWER IS

N= 70 + 40 + 1

. = 111

There are 111 numbers

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