Seth compares the two new scenarios and concludes that driving from a relative’s house is faster than biking from Dad’s work.

rodikova [14]

7.

Direct variation is:

$\sf y=kx$

Where 'k' is the constant of variation. Let's plug in y = -6 and x = 10 into the formula:

$\sf -6=k(10)$

Divide 10 to both sides:

$\sf k=-\dfrac{3}{5}$

Plug this in for 'k' in our formula:

$\sf y=-\dfrac{3}{5}x$

This is our formula. To find out what 'y' is when 'x' = 5, plug in 5 for 'x':

$\sf y=-\dfrac{3}{5}(5)$

Multiply:

$\boxed{\sf y=-3}$

9.

Let's plug in y = 9 and x = 8 into our formula:

$\sf 9=k(8)$

Divide 8 to both sides:

$\sf k=\dfrac{9}{8}$

So our equation is:

$\sf y=\dfrac{9}{8}x$

Now let's plug in 18 for 'y' to find out what 'x' is when y = 18:

$\sf 18=\dfrac{9}{8}x$

Divide 9/8 to both sides or multiply by its reciprocal 8/9:

$\sf x=18\cdot\dfrac{8}{9}\rightarrow \boxed{\sf 16}$

6 0

3 years ago

You are baking muffins for your class. There are 17 total students in your class and you have baked 5 muffins. Write and solve a

Viktor [21]

For your first answer 2=x+5/17 your second answer is 29. This is because "x" is the number that you need to bake which is 29. Therefore, 31/17=2

5 0

3 years ago

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How can I solve this?

SVETLANKA909090 [29]

Answer:

y is 70° and x is 40 °

Step-by-step explanation:

the triangle has two equal sides as shown on the diagram...so the next angle to 110° which is 70° is equal to y....then by calculation y + x should give us 110° so if y is 70 then x is 40.

6 0

2 years ago

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I don't understand how to do this problem. help ? ( number 13)

OverLord2011 [107]

5x- 10 = 20
5x -10 +10 = 20 +10
5x = 30
5x/5 =30/5
x = 6

7 0

3 years ago

In a theater, there are 4 long rows of chairs,each with an equal number of chairs There are 5 ahort rows of chairs,each with an

Hoochie [10]

<span>There are 4 long rows and 5 short rows in the theater. x represents the number of chairs in each long row and y represents the number of chairs in each short row.

So, total number of chairs in 4 long rows= 4x
Total number of chairs in 5 short rows = 5y
Total number of chairs in the theater on a normal day = 4x + 5y

When 2 chairs are added to each long row, the number of chairs will change to (x+2).
So, total number of chairs in 4 long rows will be = 4(x+2)

When 3 chairs are added to each short row, the number of chairs will change to (y+3)
So, total number of chairs in 5 short rows will be = 5(y+3)

Thus, total number of chairs in the theater in rush day = 4(x+2) + 5(y+3)
= 4x + 8 + 5y + 15
= 4x + 5y + 23

Thus we can say the number of chairs increase by 23 as compared to a normal day.
</span>

7 0

3 years ago

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