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Nata [24]
3 years ago
9

Savannah is painting a striped background for a mural on a wall that is 15 yards long. She wants a total of 96 stripes that are

all the same width. Which calculation should Savannah use to decide how wide to make each stripe?
Mathematics
2 answers:
klio [65]3 years ago
7 0

Answer:

Making all of the stripes the same with means that we divide 15 yards by the 96 stripes:

15/96 = 0.15625 yards per stripe

There are 3 feet in every yard; this means that each stripe would be

0.15625(3) = 0.46875 foot

There are 12 inches in every foot; this means that each stripe would be

0.46875(12) = 5.625 inches

This is 5 5/8 inches per stripe.

vfiekz [6]3 years ago
3 0

Answer:

She should divide the length of the wall by the number of strips.

Step-by-step explanation:

We want each of our 96 stripes to be just wide enough so that all 96 of them cover the 15 yards long mural with no spaces left. To find the necessary width w of the stripes, we just need to divide the length of the wall by the number of stripes:

w=\frac{15yards}{96} =0.15625\:yards

This gives a width of 0.15625 yards for each stripe.

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Parallel lines e and f are cut by transversal b. what is the value of y?
Aleksandr [31]
2x + 18 and 4x - 14 are corresponding angles...they are equal

2x + 18 = 4x - 14
2x - 4x = -14 - 18
-2x = - 32
x = -32/-2
x = 16

so the measure of 4x - 14 = 4(16) - 14 = 64 - 14 = 50

and 4x - 14 and y are supplementary angles that add up to 180 degrees

so 50 + y = 180.....y = 180 - 50....y = 130 <==
3 0
3 years ago
Read 2 more answers
Please help!!!<br> Composition of functions~
Ber [7]

Answer:

g(h(-8)) = 119

Hence, option B) is true.

Step-by-step explanation:

Given

g(x) = 2x-5

h(x) = x² - 2

To determine

g(h(-8)) = ?

In order to determine g(h(-8)), first we need to determine h(-8), so

substituting x = -8 in h(x) = x² - 2

h(x) = x² - 2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so we can write

g(h(-8)) = g(62)

now, to determine g(62), substitute x = 62 in g(x) = 2x-5v

g(x) = 2x-5

g(62) = 2(62) - 5

g(62) = 124 - 5

g(62) = 119

so,

g(h(-8)) = g(62)=119

Therefore,

g(h(-8)) = 119

Hence, option B) is true.

7 0
3 years ago
Choose the graph of the function f(x) = x - 2.
Gennadij [26K]

Answer:

The answer in the attached figure

Step-by-step explanation:

we have

f(x)=x-2

This is a linear equation

The slope is equal to m=1

The y-intercept is equal to the point (0,-2) ----> value of the function f(x) when the value of x is equal to zero

The x-intercept is equal to the point (2,0) ----> value of x when the value of the function is equal to zero

using a graphing tool

see the attached figure


4 0
3 years ago
Read 2 more answers
6x-5y=15<br> x=y+3 <br> what does x= and what does y=
Zepler [3.9K]

Answer:

(0,-3)

Step-by-step explanation:

hi, with this we can just do substitution (substitute x for y+3)

6(y+3)-5y=15

evaluate

6y+18-5y=15

y+18=15

y=-3

then we plug that in

x=-3+3

x=0

4 0
3 years ago
Write the rule for the linear function. Remember a function rule is written using f(x)
Marina CMI [18]

Answer:

The rule for the linear function will be:

f(x) = -2x+5

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points from the table to determine the slope

  • (1, 3)
  • (2, 1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)

m=\frac{1-3}{2-1}

m=-2

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

y-y_1=m\left(x-x_1\right)

y - 3 = -2 (x-1)

y-3 = -2x+2

adding 3 to both sides

y-3+3 = -2x+2+3

y = -2x+5

or

f(x) = -2x+5

Therefore, the rule for the linear function will be:

f(x) = -2x+5

4 0
3 years ago
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