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Mandarinka [93]

4 years ago

8

As a part-time contractor, you want to test a new cement mixture for a project. You need 2 34 wheelbarrows of sand to make 8 whe

elbarrows of concrete. How much sand will you need to make 248 cubic feet of concrete?

2 answers:

romanna [79]4 years ago

7 0

Answer: He would need 10.07 cubic feet of sand for wheelbarrows.

Step-by-step explanation:

Since we have given that

Ratio of wheelbarrows of sand to wheelbarrows of concrete is given by

$2\dfrac{3}{4}:8\\\\=\dfrac{11}{4}:8\\\\=11:32$

Volume of concrete for wheelbarrows = 248 cubic feet.

Then volume of wheelbarrows of sand would be

$(\dfrac{11}{32})^3=\dfrac{x}{248}\\\\\dfrac{1331\times 248}{32^3}=x\\\\10.07=x$

Hence, he would need 10.07 cubic feet of sand for wheelbarrows.

nirvana33 [79]4 years ago

6 0

Answer: 85 1/4 cubic feet

Step-by-step explanation:

You might be interested in

Direct variation worksheet

vaieri [72.5K]

Answer:

Part 4) k=1/2

Part 5) k=-2/3

Part 6) y=32

Part 7) x=6

Part 8) v=99

Part 9)b=6

Part 10) y=6

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Part 4) Find the value of the constant of proportionality k

we have

$y=\frac{1}{2}x$

Remember that the value of k is the same that the value of the slope

$m=\frac{1}{2}$

so

$k=\frac{1}{2}$

Part 5) Find the value of the constant of proportionality k

we have

$y=-\frac{2}{3}x$

Remember that the value of k is the same that the value of the slope

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

so

$k=-\frac{2}{3}$

Part 6) Suppose that y varies directly with x, and y=16 when x=8. Find y when x=16

step 1

Find the value of the constant of proportionality k

$k=y/x$

$k=16/8=2$

step 2

Find the equation of the direct variation

$y=kx$

substitute the value of k

$y=2x$

step 3

Find y when x=16

$y=2(16)=32$

Part 7) Suppose that y varies directly with x, and y=21 when x=3. Find x when y=42

step 1

Find the value of the constant of proportionality k

$k=y/x$

$k=21/3=7$

step 2

Find the equation of the direct variation

$y=kx$

substitute the value of k

$y=7x$

step 3

Find x when y=42

$42=7x$

solve for x

$x=42/7$

$x=6$

Part 8) Suppose that v varies directly with g, and v=36 when g=4. Find v when g=11

step 1

Find the value of the constant of proportionality k

$k=v/g$

$k=36/4=9$

step 2

Find the equation of the direct variation

$v=kg$

substitute the value of k

$v=9g$

step 3

Find v when g=11

$v=9(11)=99$

Part 9) Suppose that a varies directly with a, and a=7 when b=2. Find b when a=21

step 1

Find the value of the constant of proportionality k

$k=a/b$

$k=7/2=3.5$

step 2

Find the equation of the direct variation

$a=kb$

substitute the value of k

$a=3.5b$

step 3

Find b when a=21

$21=3.5b$

solve for b

$b=21/3.5$

$b=6$

Part 10) Suppose that y varies directly with x, and y=9 when x=3/2. Find y when x=1

step 1

Find the value of the constant of proportionality k

$k=y/x$

$k=9/(3/2)=6$

step 2

Find the equation of the direct variation

$y=kx$

substitute the value of k

$y=6x$

step 3

Find y when x=1

$y=6(1)=6$

6 0

3 years ago

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x? O 2+ 101 O 1: 107 2+ 101 2. O 1+ W5i

balandron [24]

i dont know how to delete but this is wrong. sorry

Answer: X = 2.75

Step-by-step explanation: 2x2 = 4x-7

4 = 4x-7

11 = 4x

11 \ 4

X = 2.75

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astra-53 [7]

Answer:

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1/2*x=7/2

x=7/2*2

x=7

y= $\sqrt{7²-(7/2)²}=7/3\sqrt{3}$

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Ten digit telephone number has a form (XYZ) - ABC-DEFG. In the particular state there are 4 possible area codes (404, 470, 678,

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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