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KatRina [158]
3 years ago
5

Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value

of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack.
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

Lulu has 14 quarters and 6 dimes

Step-by-step explanation:

Let x be the number of dimes and y the number of quarters. The sum of quarters and dime is 20 coins. Then:

x + y = 20

We also know that the value of each dime is $ 0.10 and the value of each quarter is $0.25. The total value of the coins is $4.10. Then, the number of dimes times 0.10 plus the number of quarters times 0.25 will be 4.10:

0.10x + 0.25y = 4.10

So, we have a system of 2 equations and 2 unknowns:

x + y = 20

0.10x + 0.25y = 4.10

Let´s solve the first equation for y:

x + y = 20

subtract x from both sides

y = 20 - x

And now let´s replace y in the second equation:

0.10x + 0.25(20 - x) = 4.10

Apply distributive property

0.10x + 5 - 0.25x = 4.10

subtract 5 from both sides of the equation

-0.15x = -0.9

Divide by -0.15 both sides of the equation

x = 6

Now let´s calculate y:

y = 20 - x

y = 20 - 6 = 14

Lulu has 14 quarters and 6 dimes

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When cai traveled from new orleans to the ozark mountains in arkansas the elevation changed from 7ft below sea level to 2,314 ft
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Answer:

2321 ft.

Step-by-step explanation:

When Cai traveled from New Orleans to the Ozark Mountains in Arkansas the elevation changes from 7 ft below sea level to 2314 ft above sea level.

If we consider the elevation below sea level as negative and the elevation above sea level as positive, then the elevation changes from - 7ft to +2314 ft.

Therefore, the increment of elevation is by [2314 - (- 7)] = 2321 ft. (Answer)

7 0
3 years ago
What percent of 19.5 is 70.59?
NeX [460]
70.59 is 363.846154% of 19.5.
4 0
3 years ago
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The perimater of the triangle is 30cm. its sides are in the ratios 1:3:2, then find its sides​
DiKsa [7]

Answer:

1 * 5 = 5cm

3 * 5 = 15cm

2 * 5 = 10cm

Step-by-step explanation:

1+3+2 = 6

then do 30 / 6  = 5 to find one part of the ratio

1 * 5 = 5

3 * 5 = 15

2 * 5 = 10

8 0
3 years ago
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The points P and Q in the following figure define the line segment (PQ⎯⎯⎯⎯⎯) P Q . The steps involved in using a compass to cons
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3 0
3 years ago
With a beginning balance of $2500 and no additional charges, there is no grace-period, you will just pay the minimum payment eac
valkas [14]

Answer:

a = $31.23 per month

b = $20.83 per month

c = 249.98 = $249.98 interest charges

                   = $624-249.98 = 374.02 profit part decrease 8% inc.                  

d = 35.35%

e = Answer is in the name; basic payment is a contract which means whilst account remains open charges are requested without fail. Should balance be less or on zero, charges are still applied.

Step-by-step explanation:

2500 x 1.2499 = interest only for start month 13 =3124.75

3124.75/ 100 x 1.08   = 8% of this = 249.98 each year.

We only have to divide each by 12 to work out monthly individual charges and subtract to find out payments.

3124.75 - 249.98 = 2874.77 = Total after charges each year.

249.98/12 = 20.83 = monthly charges.

3124.75- 2500 = 624.75 payments each year

624.75/12 = 52.06 month 1 payment before charge

52.06-20.83 =31.23 total minimum payment

2500 + 249.98

Percentage = 200:600 = 1/3 33% + (comparing to ratio 10:25 closer to 40%)

We find ratio 200:600= 33.33 + 49.995/24.75 = 2.02

33+2.02 = 35.35%

7 0
3 years ago
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