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3 years ago

9

The ratio of dimes to quarters in a money bag is 2:14. if the total numbers of coins is 48, how many quarters are there?

1 answer:

Bess [88]3 years ago

7 0

Answer:

There are 42 quarters (and 6 dimes).

Step-by-step explanation:

The given ratio is 2:14. But this does not tell us how many dimes nor how many quarters we have. Instead, it's a ratio. Modify this by multiplying numerator and denominator by n and then find n:

Number of dimes 2n

----------------------------- = -----

Number of quarters 14n

Then the total number of coins is 2n + 14n =48, implying that:

16n = 48, or n = 3.

Then the number of dimes is 2(n) = 2(3) = 6, and that of quarters is 14(n) =

14(3) = 42.

There are 42 quarters (and 6 dimes). Notice how the total of 42 and 6 is 48.

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Geri spent Friday, Saturday and Sunday selling a total of 24 magazines orders for her school.The amounts on those 3 days were co

ryzh [129]

The sale on Friday = x = 6

The sale on Saturday = x+2 = 6 + 2 =8

The sale on Sunday = x+4 = 6+4 =10

Step-by-step explanation:

Let x be the sale of Friday

Then

x+2 will be the sale of Saturday

x+4 will be the sale of Sunday

According to the given statement, that the total sales were 24

$x+(x+2)+(x+4) = 24\\x+x+2+x+4 = 24\\3x+6 = 24\\Subtracting\ 6\ from\ both\ sides\\3x+6-6=24-6\\3x=18\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3} = \frac{18}{6}\\x=6$

The sale on Friday = x = 6

The sale on Saturday = x+2 = 6 + 2 =8

The sale on Sunday = x+4 = 6+4 =10

Keywords: Linear equations

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago

What is equivalent to 3(5x-4)

Jlenok [28]

Answer:

15x - 12

Step-by-step explanation:

3(5x-4)

We can find an equivalent expression by distributing the 3 to what's inside of the parenthesis (5x and -4)

3(5x-4)

* Distribute *

3 * 5x = 15x

3 * -4 = -12

An equivalent expression would be 15x -12

8 0

3 years ago

3(x + 8) - 2 = 43 ???

patriot [66]

Answer:

x = 7

Step-by-step explanation:

3(x + 8) - 2 = 43

3x + 24 - 2 = 43

3x + 22 = 43

<u> -22 -22</u>

3x = 21

divide by 3

x = 7

5 0

3 years ago

What is the value of x in the isosceles trapezoid below

Nookie1986 [14]

Answer:

D. 13

Step-by-step explanation:

From the diagram, $\angle BAD=2x\degree$ and $\angle BCD=(10x+24)\degree$

In an isosceles trapezium, the base angles are equal.

This implies that $\angle ABC=\angle BAD$ $\implies \angle ABC=2x\degree$

The side length CB of the trapezoid is a transversal line because <em>CD is parallel to AB</em>.

This means that $\angle ABC=2x\degree$ and $\angle BCD=(10x+24)\degree$ are co-interior angles.

Since co-interior angles are supplementary, we write and solve the following equation for $x$ .

$2x\degree+(10x+24)\degree=180\degree$

Group similar terms

$2x+10x=180-24$

Simplify both sides of the equation.

$12x=156$

Divide both sides by 12

$\frac{12x}{12}=\frac{156}{12}$

$\therefore x=13$

The correct answer is D.

8 0

3 years ago

(b) Mrs. Young calculates that 5 nights will cost $1350. What is the percent error in Mrs. Young’s calculation? Round to the nea

mezya [45]

Answer:

5 x 13,50= 6,750

Step-by-step explanation:

5,400 is the answer of the persentage. I subtracted 6,750 from 1350 and got 6,750

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2 years ago