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madreJ [45]
3 years ago
11

Quintin is participating in a walkathon. He writes the equation m = 8d + 6 to represent the amount of money he collects from eac

h sponsor for walking d kilometers. What number represents the rate of change? What number represents the initial value? Explain.
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Answer:

8 represents the rate of change while 6 represents the initial value

Step-by-step explanation:

For every additional kilometer d that we walks, d increases by 1 and m increases by 8 times d. So 8 represents the rate of change.

At d = 0, meaning d = 0, m = 8*0 + 6 = 6. So he gets 6 at before having to walk. So 6 represents the initial value

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Triangles A and B are similar.<br> If the slope of Y is 4/5 what's the slope of x?
sdas [7]
Similar triangle Hypotenuse must have similar slopes. If you'll notice, y & x are parallel lines, so they will have equivalent slope

In short, Your Answer would be 4/5

Hope this helps!
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Imani

Step-by-step explanation:

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3 years ago
Need help will give you the brainliest
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1232

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6 0
2 years ago
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Newberg City Cafe recently introduced a new flavor of coffee. They served 23 grande cups and 51 jumbo cups of the new coffee tod
yuradex [85]

Answer:

Grand coffee cup = 1469 gm

Jumbo coffee cup = 60 gm

Step-by-step explanation:

Let x be the grande coffee cup and y be the jumbo coffee cup.

Solution:

From the first statement. They served 23 grande cups and 51 jumbo cups of the new coffee today, which equal a total of 36,846 grams.

So, the equation is.

23x+51y = 36846 ---------(1)

From the second statement. They served 58 grande cups and 68 jumbo cups of the new coffee tomorrow, which equal a total of 59460 grams.

58x+68y=59460 ----------(2)

Solve the equation 1 for x.

23x = 36846-51y

x=\frac{36846}{23}-\frac{51}{23}y

x=1602-\frac{51}{23}y ---------(3)

Substitute x=1602-\frac{51}{23}y in equation 2.

58(1602-\frac{51}{23}y)+68y=59460

92916-\frac{51\times 58}{23}y+68y=59460

-\frac{2958}{23}y+68y=59460-92916

\frac{-2958+1564}{23}y=-33456  

\frac{-1394}{23}y=-33456

Using cross multiplication.

y=\frac{-23\times 33456}{-1394}

y = 55.99

y ≅ 60 gram

Substitute y = 60 in equation 3.

x=1602-\frac{51}{23}\times 60

x=1602-\frac{3060}{23}

x=1602-133.04

x = 1469 grams

Therefore, grand coffee cup = 1469 gm and jumbo coffee cup = 60 gm

7 0
3 years ago
Find the missing length, simplify completely
nataly862011 [7]
The answer is 22 because as u can see they are going up by 1 so 20,21, next 22
4 0
3 years ago
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