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mr Goodwill [35]
3 years ago
13

Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​​$1.08

Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0

Answer:

a)

if 1 quarter = $ 0.25

  1 dime = $ 0.10

  1 penny = $ 0.01

so to make the total of $1.08 and its is also required to calculate the number of each coins present without being able to make change for a dollar

therefore we say;

1 Quarter + 8 dimes + 3 penny

: ( 1 × 0.25 ) + ( 8 × 0.10 ) + ( 3 × 0.01 )

: 0.25 + 0.80 + 0.03 = $ 1.08

b)

Now if you have a 4 Quarters, you have change for $1.

If you have 5 dimes, you have change for 2 Quarters.

If you have nickel; one of those can combine with 2 dimes to have a change for a Quarter.

If you have 5 pennies, you have enough change for 1 nickel

Therefore

(4-1)×0.25 + (5-1)×0.1 + (0×0.05) + (5-1)×0.01 = x

(3 × 0.25) + ( 4 × 0.1) + 0 + ( 4 × 0.01) = x

x = 0.75 + 0.4 + 0.04

x = $ 1.19

PROVED

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Number 8 and 9 pls, if u answer u get brainlist rank!
mylen [45]

Answer:

8.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

3a + b = 21

5a + b = 35

Subtract the 2 equations:

=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0

=> The solution is  y = 7x

9.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

5a + b = 17

10a + b = 22

Subtract the 2 equations:

=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12

=> The solution is  y = x + 12

Hope this helps!

:)

8 0
2 years ago
What is the slope of the line that passed through (3,-4) and (4,9)
Advocard [28]

Step-by-step explanation:

<u>Step 1:  Find the slope</u>

<u />m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{9-(-4)}{4-3}

m =\frac{9+4}{1}

m=13

Answer: The slope is 13

5 0
3 years ago
A fraction reduces to 36. If its denominator is 6x5, what is its numerator?
olchik [2.2K]
If you would like to find the numerator of a fraction, you can do this using the following steps:

denominator ... 6 * 5 = 30
numerator ... x = ?

36 = numerator / denominator
36 = x / 30
x = 36 * 30
x = 1080

The correct result would be 1080.
4 0
2 years ago
Choose yes or no to tell whether the expression represents a 20% discount off the price of an item that originally costs d dolla
tester [92]

Answer:

Option A and C is correct.

Step-by-step explanation:

Discount is defined as a reduced price on something being sold or at a price lower than that item is normally sold for.

For a 20% discount,

Given:

Initial prices = $ d

Discounted price = % discount × original/initial cost

= 20/100 × d

= 0.2 × d

Selling price = original cost - discounted price

= d - 0.2d

= 0.8 × d

= 0.8d

8 0
3 years ago
2+2 my question must be 20 characters long
geniusboy [140]
It is four. So two and two you add them together to be four. Good job. Your learning :)
4 0
3 years ago
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