Jennifer has started a blog and is using the bar chart below to keep track of how many followers she has, how many followers will she has on day n, pattern is adding 2 followers every day, what would be the rule ?

The expression for the width of the rectangle is W = ( x - 12 )

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

We can use the formula for the area of a rectangle to find an expression for its width:

Area = length × width

The length of the rectangle is given as x + 12 meters, and the area is given as x² - 144 square meters.

We can substitute these values into the formula and solve for the width:

x² - 144 = (x + 12) × width

To solve for the width, we can divide both sides of the equation by x + 12:

width , W = (x² - 144) / (x + 12)

W = ( x + 12 ) ( x - 12 ) / ( x + 12 )

W = ( x - 12 )

Hence , the expression that represents the width of the rectangle is given by W = (x² - 144) / (x + 12) = ( x - 12 )

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Answer:

B.204 square inches

C.2016 cents

Step-by-step explanation:

We are given that Jared sells square frames of various sizes made of wood .To find the area of a frame ,Jared uses the formula

[tex]A=s^2-(s-2w)^2[/tex]

Where s=Length of a side of the frame

w=Width of the frame

B.We are given that length of each side=s=20 inches

Width of frame=w=3 inches

Substitute the values in the above given   formula

Then, we get

A=[tex](20)^2-(20-2\times 3)^2[/tex]

[tex]A=400-(20-6)^2[/tex]

[tex]A=400-196=204 [/tex]square inches

Hence, area of frame=204 square inches

C.We are given that

Cost of 1 square inch=18 cents

Length of each side of frame=s=16 inches

Width of frame=w=2 inches

Substitute the values in the given above formula

Then ,we get [tex]A=(16)^2-(16-2\times 2)^2[/tex]

[tex]A=256-(12)^2[/tex]

[tex]A=256-144=112[/tex] square inches

Cost of 112 square inches=[tex]112\times18[/tex]=2016 cents

Hence, he will charge for a frame =2016 cents

we have

[tex]y\leq 2x+1[/tex] ------> inequality A

The solution of the inequality A is the shaded area below the solid red line

see the attached figure N [tex]1[/tex]    

[tex]y>-2x-3[/tex] ------> inequality B

The solution of the inequality B is the shaded area above the dotted blue line

see the attached figure N [tex]2[/tex]

therefore

The solution of the system of inequalities is the shaded area between the solid red line and the dotted blue line

see the attached figure N [tex]3[/tex]

therefore

the answer in the attached figure N [tex]3[/tex]

i dont know the others but i know the second one is 3.83

6.51−9.32+h=1.02

6.51-9.32+h+9.32=1.02+9.32

6.51+h-6.51=10.34-6.51

h=3.83

A mean is an arithmetic average of a set of observations. The mean of the integers 5, -15, 7, -13, 1 is -3.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The mean of the given integers can be written as,

Mean = Sum of observations/Number of observations

          = [5 + (-15) + 7 + (-13) + 1]/5

          = (5 - 15 + 7 - 13 + 1) / 5

          = -15/5

          = -3

Hence, the mean of the integers 5, -15, 7, -13, 1 is -3.

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The number square root of 220 is greater than that of 14 3/4.

Given are two numbers.

The square root of 220 and 14 3/4.

We have to find which number is greater.

We know that :

14 3/4 = 14 + 3/4 = 14.75

Now,

14² = 196

15² = 225

So the number 220 lies between 196 and 225.

So √220 lies between 14 and 15.

Since 220 is closest to 225 which is the square of 15, the square root os 220 is more close to 15.

√220 ≈ 14.8

Hence √220 is greater.

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Answer: Each dimension would be 21.1875 inches and 2.375 inches respectively.

Step-by-step explanation:

Since we have given that

Width of a surfboard = [tex]21\dfrac{3}{16}\ inches[/tex]

Thickness of a surfboard = [tex]2\dfrac{3}{8}\ inches[/tex]

We need to rewrite each dimension as a decimal.

We first write it in improper fraction:

Width becomes

[tex]21\dfrac{3}{16}\\\\=\dfrac{339}{16}\ inches[/tex]

Thickness becomes

[tex]2\dfrac{3}{8}\\\\=\dfrac{19}{8}\ inches[/tex]

Now, we change it into decimal form:

[tex]\dfrac{339}{16}=21.1875\ inches\\\\and\\\\\dfrac{19}{8}=2.375\ inches[/tex]

Hence, each dimension would be 21.1875 inches and 2.375 inches respectively.

Answer:

4 cups of sugar will be added with 2 cups of banana in the banana recipe.

Step-by-step explanation:

A recipe for banana bread requires 3 cups of banana and [tex]1\frac{1}{2}[/tex] cups of sugar.

To calculate the cups of sugar used with 2 cups of bananas we will use unitary method.

∵ [tex]\frac{3}{2}[/tex] cups of sugar is used with amount of banana = 3 cups

∴ 1 cup of sugar will be used with banana = [tex]\frac{3}{\frac{3}{2}}[/tex]

∴ 2 cups of sugar will be used with banana = [tex]\frac{2\times 3}{\frac{3}{2} }[/tex] = [tex]6\times \frac{2}{3}[/tex]

= 4 cups

Therefore, 4 cups of sugar will be added with 2 cups of banana in the banana recipe.

Suppose that you have a stack of pennies. If you want to know without counting whether there is an odd or even number of pennies, then you have to split them into two parts, for example,  placing one coin left and one coin  right.

If the number of pennies is even, then no coins will left, if the number is odd, then one coin will be extra.

-1/4 x 2/7

 multiply the 2 top numbers and then multiply the 2 bottom numbers

1*2 = 2+4*7 =28

 so answer is -2/28 which can reduce to - 1/14