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topjm [15]
2 years ago
13

There are 31 coins of dimes and quarters. If the number of dimes is 5 more than the number of quarters, how many quarters are th

ere? How many are dimes? Hint: let x=dimes and y=quarters. Write your answer in an ordered pair ( , ).
Mathematics
1 answer:
emmasim [6.3K]2 years ago
5 0

Answer:

<u>13 Quarters and 18 Dimes</u>

Step-by-step explanation:

Let D and Q stand for the numbers of Dimes(D) and Quarters(Q).  Give x and y a break, and make it easier to remember which is which.

D + Q = 31

D = Q + 5

Therefore:

D + Q = 31

(Q+5) + Q = 31

2Q + 5 = 31

2Q = 26

<u>Q = 13</u>

<u>Then D = (13+5) or 18</u>

================

Check:

D + Q = 31 ?

18 + 13 = 31  <u>YES</u>

----------------------

D = Q + 5 ?

18 = 13 + 5   <u>YES</u>

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3 years ago
Which angles are vertical angles?
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Answer:

i believe the answer is 2 and 3

Step-by-step explanation:

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2 years ago
Read 2 more answers
The ratio of angle measures is 1:2:2. Classify the triangle by its angle measures. a.acute triangle b.right triangle c. obtuse t
HACTEHA [7]
Angles in a triangle must add up to 180°, so you could use this information to find the values of the angles. 1 + 2 + 2 = 5, 180 ÷ 5 = 36. 36 × 2 = 72, so 36 + 72 + 72 = 180. This means that the answer is A. acute, because all of the angles are below 90°. I hope this helps!
5 0
3 years ago
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What
Kitty [74]

We are given : Cost of a gallon of milk = $2.50.

Cost of a cup of yogurt = $1.20.

Total money Monica has = $20.

Number of cups of yogurt Monica can buy = x.

And inequality made is also correct

1.20x + 2.5 ≤ 20.

Now, we need to solve it for x.

Subtracting 2.5 from both sides, we get

1.20x + 2.5 -2.5 ≤ 20 - 2.5.

1.20x ≤ 17.5

Dividing both sides by 1.20, we get

1.20x/1.20 ≤ 17.5/1.20.

x ≤ 14.5833...

Because it's less than 15, so final answer is : 14 is  greatest number of cups of yogurt Monica can buy.



3 0
2 years ago
Read 2 more answers
Can someone please help
Fynjy0 [20]

Answer:

angle C = 78

angle D = 108

Step-by-step explanation:

the measure of angle A is 102

To find the measure of angle C

let Angle C be x

102 + x = 180 (linear pair)

x = 180 -102

x = 78

angle C = 78

angle B = 78 (vertically opposite angles are equal)

angle D = 108 (vertically opposite angles are equal)

8 0
2 years ago
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