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Evgen [1.6K]
3 years ago
6

Clara has 8 coins worth 17¢. if the coins are all dimes and pennies, how many dimes and pennies does she have?

Mathematics
2 answers:
Sliva [168]3 years ago
4 0
Let x = the number of dimes
Let y =  the number of pennies.

There are 8 coins, therefore
x + y = 8        (1)

The coins are worth 17 cents, therefore
10x + y = 17     (2)

Subtract equation (1) from equation (2).
10x + y - (x + y) = 17 - 8
9x = 9
x = 1

From (1), obtain
y = 8 -x = 8 - 1 = 7

Answer: 1 dime, 7 pennies.

Marina CMI [18]3 years ago
3 0
One dime, seven pennies
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Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how ma
exis [7]
Let's call <em />the number of pages we <em>have </em>read m. To find the number of pages we have <em>left</em> to read, we'll need to subtract the number of pages we've read from the total number of pages in the book. Our total page count is 193, and the number of pages we've read is the unknown m, so the number of pages we <em />haven't read can be written as 193-m. With that knowledge, let's construct the rest of our equation.

"He has read three pages more than one-fourth of the number of pages he hasn't yet read." The first key phrase here is "he has read." What this means is that the number of pages he's read, which we've named m, is equal to everything in the rest of the sentence. "Thee pages more than" means that we're going to be adding 3 to whatever the next quantity described is, which, in this case, is "one-fourth of the number of pages he hasn't yet read." We already established earlier that "the number of pages he hasn't yet read" is 193-m, so one-fourth of that would be \frac{1}{4} (193-m). Putting everything together, we get the following equation:

m= \frac{1}{4} (193-m)+3

To solve for m, we might first want to eliminate the fraction 1/4 by multiplying both sides of the equation by 4, obtaining

4m=193-m+12

Solving for m, we get:

4m=193+12-m\\5m=205\\m=41

Now that we have m, it's a simple matter to solve for 193-m:

193-41=152

So, he has not yet read 152 pages.
6 0
3 years ago
Can someone please help me with this
oee [108]

Answer:

165 pennies

Step-by-step explanation:

250/1.52=164.473684211, but just round it to the nearest whole number whitch would be 165!

6 0
2 years ago
a flat for sale sign has a perimeter of 58 inches. the length is 5 inches longer than the width. what is the width?
timofeeve [1]

Answer:

25 inches

Step-by-step explanation:

1. Information that is needed to solve the problem;

The formula for the perimeter is:

2(a+b) = P

where "a" is the length and "b" is the width.

2. Solving the problem;

Substitute the given values into the formula;

2( 5 + b ) = 58

Inverse operations;

2 ( 5 + b ) = 58

/2               /2

5 + b = 29

-5        -5

b = 25

3 0
3 years ago
What is the proportion of 2/5 = 8/x
natali 33 [55]
To find is out put it like this 2   8
                                          5    x
you multiple so 2 times what eduals 8 then you take that and multiply by 5
4 0
3 years ago
Please help it urgent!!!!
Veronika [31]

Answer:

<h3>1) 5(7x^{2} - x + 8)</h3>

first box: 5 * 7 = 35

35 x^2

second box: 5 * -1 = -5

-5x

third box: 5 * 8 = 40

40

answer: 35x^{2} - 5x + 40

<h3>2) 2x(4x^2 + 3x + 6)</h3>

first box: 2x * 4x^2

2 * 4 = 8

x * x^2 = x^3

8x^3

second box: 2x * 3x

2 * 3 = 6

x * x = x^2

6x^2

third box: 2x * 6

2 * 6 = 12

12x

answer: 8x^3 + 6x^2 + 12x

<h3>3) (tp + 5)(4p - 6)</h3>

top left box: tp * 4p

p * p = p^2

4tp^{2}

top right box: tp * - 6

-6tp

bottom left box: 5 * 4p

5 * 4 = 20

20p

bottom right box: 5 * - 6

5 * -6 = -11

-11

answer: 4tp^2 - 6tp + 20p - 11

<h3>4) (4a - 8)(8a - 1)</h3>

top left box: 4a * 8a

4 * 8 = 32

a * a = a^2

32a^2

top right box: 4a * -1

4 * -1 = -4

-4a

bottom left box: -8 * 8a

-8 * 8 = -64

-64a

bottom right box: -8 * - 1

-8 * - 1 = 8

8

32a^2 - 4a - 64a + 8

<em>combine like terms</em>

32a^2 - 68a + 8 = answer

4 0
3 years ago
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