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PtichkaEL [24]
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?

Mathematics
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:

  • brainly.com/question/3126500
  • brainly.com/question/3306327

#LearnwithBrainly

6 0
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

3 0
2 years ago
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