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3 years ago

5

Marie's backyard deck cost $68.29 per square meter to build. The deck is 9 meters wide and 9 meters long. How much did it cost t

o build the deck?

1 answer:

vesna_86 [32]3 years ago

8 0

$5531.49

(9×9)×$68.29

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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

4 years ago

What is the value of the expression below when n = 2.4 ?<br> 4n X 2 + 43

meriva

4(2.4)(2)+43
(9.6)(2)+43
19.2+43
62.2
the value of 4n x 2 + 43, when n=2.4, is 62.2

3 0

3 years ago

Please help me with 9&10

Andrew [12]

This is problem #9. I'm not sure how to solve #10, although the solution may be found in a similar way.

3 0

3 years ago

-1+5x≥-16 I dont know how to solve

olasank [31]

Answer: $x \ge -3$

Explanation:

Follow PEMDAS in reverse to undo what's happening to x.

We first add 1 to both sides, then divide both sides by 5 to fully isolate x.

Refer to the steps below to see what I mean.

$-1 + 5x \ge -16\\\\5x \ge -16+1\\\\5x \ge -15\\\\x \ge -15/5\\\\x \ge -3\\\\$

The inequality sign stays the same the entire time. The only time it flips is when you divide both sides by a negative number.

The solution set for x is anything -3 or larger.

If x was an integer, then we could say the solution set is {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}

7 0

2 years ago

Plsss help meeeeeeee

iVinArrow [24]

Answer:

x = $\sqrt{99}$

Step-by-step explanation:

Based on the Pythagoras theorem, where a and b are the legs of the triangle and c is the hypotenuse.

$c^{2}= a^{2} + b^{2} \\c = \sqrt{a^{2} + b^{2} } \\x = \sqrt{7^{2} + (5\sqrt{2})^{2}} \\x = \sqrt{99}$

Therefor x = $\sqrt{99}$

7 0

3 years ago