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yaroslaw [1]
3 years ago
10

Зх — 7 = 2х Show work

Mathematics
1 answer:
Olin [163]3 years ago
8 0
Answer:

x = 7

Step-by-step explanation:

3x - 7 = 2x

- 7 = -1x

x = -7/-1

x = 7

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The wading pool shown is a trapezoidal prism with a total volume of 286 cubic feet. What is the missing dimension? First base: 8
harkovskaia [24]
To find the missing dimension you will use the formula for finding the volume of a prism and solve for the missing dimension.  In this case 2ft is how deep the pool is and you will solve for the width of the pool.

V = Bh, where B is the area of the base.  In this case, use the area of a trapezoid formula.

286 = 1/2h(8 +13)2
<u>286</u> = <u>21h</u>
21      21
h = 13.6

The width of the wading pool is approximately 13.6 feet.
5 0
3 years ago
Write a linear function from the given values: <br><br> f(2)=-2, f(1)=1<br><br><br> f(4)=1, f(8)=4
kap26 [50]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have:

f(2)=-2\to(2,\ -2)\\f(1)=1\to(1,\ 1).

Substitute:

m=\dfrac{1-(-2)}{1-2}=\dfrac{3}{-1}=-3

Therefore we have y=-3x+b.

Substitute the coordinates of the point (1, 1) to the equation:

1=-3(1)+b

1=-3+b      <em>add 3 to both sides</em>

4=b\to b=4

<h3>Answer: y = -3x + 4</h3>

We have:

f(4)=1\to(4,\ 1)\\f(8)=4\to(8,\ 4)

Substitute:

m=\dfrac{4-1}{8-4}=\dfrac{3}{4}

Therefore we have y=\dfrac{3}{4}x+b.

Substitute the coordinates of the point (4, 1) to the equation:

1=\dfrac{3}{4}(4)+b

1=3+b      <em>subtract 3 from both sides</em>

-2=b\to b=-2

<h3>Answer: y=\dfrac{3}{4}x-2</h3>
3 0
4 years ago
A small grain silo is filled with wheat at the end of each season. If the silo is only half full, how many cubic meters of wheat
Nonamiya [84]

Answer:

Volume of wheat = 147.26 m³ (check the explanation)

Step-by-step explanation:

The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).

Let's list out the parameters to be used:

diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,

height (h) = 15 m

Volume of silo = πr²h = π * 2.5² * 15

V (silo) = <u>294.52</u> m³

The silo is half full ⇒ ½ * V

Volume of wheat stored is given by half of the silo volume, since the silo is half-full

V (wheat) = ½ * 298.52

V (wheat) = <u>147.26</u> m³

6 0
3 years ago
Ms. Smith has 36 students in her reading class.
Bas_tet [7]

Answer:

9

Step-by-step explanation:

1/3 of 36 = 12

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15 + 12 = 27

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3 0
3 years ago
The part of the us government that interprets laws is the
notsponge [240]
I think it is judicial. 
5 0
4 years ago
Read 2 more answers
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