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Law Incorporation [45]
1 year ago
8

The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that Austin has in his

piggy bank is 5q + 2d = 270. Explain what the intercepts mean in terms of the context and how to find them.
Mathematics
2 answers:
Fynjy0 [20]1 year ago
6 0
The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that Austin has in his piggy bank is 5q + 2d = 270. This can be change to slope intercept form to see the clearer picture. By dividing the whole equation by 2, so the equation become d= -2.5q + 135.

This means that Austin has initially 135 dimes in his piggy bank and he is losing 2.5 dimes per quarter.
Hope this helps!!!



snow_lady [41]1 year ago
4 0

Answer:

Sample Response: To find one intercept, let d = 0 in the equation and solve for q. To find the other intercept, let q = 0 in the equation and solve for d. The intercepts mean that the bank could be filled with 54 quarters and no dimes, or 135 dimes and no quarters.

Step-by-step explanation:

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7 0
1 year ago
Christopher buys 120 hot dog buns for a picnic. He buys two different brands of hot dog buns. Brand X has 12 hot dog buns in a p
lianna [129]

A system of equations that can be used to find the number of packages of Brand X hot dog buns and Brand Y hot dog buns that Christopher buys is:

12x + 8y = 120  

4.5x + 3.5y = 49.50.

The number of packages of Brand X bought is 4 and the number of packages of Brand Y bought is 9

The following equations can be derived from the question

12x + 8y = 120  equation 1

4.5x + 3.5y = 49.50 equation 2

x represents the number of packages of Brand X

y represents the number of packages of Brand Y

The elimination method would be used to determine the values of x and y

Multiply equation 1 by 4.5 and equation 2 by 12

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54x + 42y = 594 equation 4

 Subtract equation 3 from 4

6y = 54  

Divide both sides of the equation by 6

y = 9

Substitute for y in equation 1

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To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

6 0
1 year ago
15 less than a number S is three more than 9 times a number T. Solve for S
lbvjy [14]

Answer:

s = 9t + 18

Explanation:

Set up your equation

s - 15 = 9t + 3

Now get s by itself by adding 15 to both sides

s + 0 = 9t + 3 + 15

s = 9t + 18

If you know the value of t, plug that into the equation to solve further.

5 0
2 years ago
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bezimeni [28]

Answer:

the answer and problem shown above

8 0
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What happens to the volume of a rectangular prism if you double the height give an example
kolezko [41]
Let's say the prisms dimensions were 2×2×2 and you doubled the height 4×2×2. 
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another example:
4×3×6=144 while 8×3×6=288
therefor it doubles the volume of the prism
4 0
1 year ago
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