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faust18 [17]
2 years ago
5

harold was 5 years older than Mary. In 10 years he found that 4 times his age exceeded twice Mary's age by only 50. How old were

Harold and Mary in the beginning?
Mathematics
1 answer:
Ivanshal [37]2 years ago
8 0

in the beginning 

Harold X+5
Mary X

In 10 years

Harold X+5+10 X+15
Mary X+10 

4(X+15)-2(X+10)=50
4X+60-2X-20=50
2X+40=50
2X=50-40
2X=10
X= 10÷2
X=5

Harold At The Beginning 5+5=10
Mary At The Beginning 5
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Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?
Stella [2.4K]
D= # of dimes
q= # of quarters

QUANTITY EQUATION:
d + q= 64

COST EQUATION:
0.10d + 0.25q= $9.25


STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2

(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40


STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q

Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40

0.15q= 2.85
divide both sides by 0.15

q= 19 quarters


STEP 3:
substitute q value in step 2 into either original equation to find d value

d + q= 64

d + 19= 64
subtract 19 from both sides

d= 45 dimes


CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25


ANSWER: There are 45 dimes and 19 quarters.

Hope this helps! :)
7 0
3 years ago
Label the dividend, divisor, and quotient in the problem 27,438 divided by 9 equals 3,048 r6.
Alika [10]
The dividend is the number being divided so the dividend is 27,438
The divisor is the one dividing the number so the divisor is 9
The quotient is your answer so you quotient is 3048

Your answer is C.

Hope this helps!

7 0
3 years ago
Mr. Greg had 8 sandwiches. He gave 1/4 to Nehamiah, 1/4 to Elijah, and 1/4 to Elizabeth. How many sandwiches did Mr. Greg have l
SVEN [57.7K]
There are many ways to work this out. One way could be:

Add up:
1/4 + 1/4 + 1/4 = 3/4

Find 3/4 of 8 so;
8 / 4 = 2
2 x 3 = 6

Find what's remaining:
8 - 6 = 2

So Mr.Greg has sandwiches left.
Hope it helped :)
3 0
3 years ago
Read 2 more answers
60 points Need help Asap
Anna [14]

Answer:

45 units ^2

Step-by-step explanation:

make sure to divide the triangle and sqaure up when finding the area of this polygon..

hope this helps!!

8 0
3 years ago
The cost to rent a construction crane is $750 per day plus $250 per hour of use. What is the maximum number of hours the crane c
anzhelika [568]
Let's use x to represent the number of hours since we don't know that.

750+250x<u><</u><u />2500
Subtract 750 from both sides.
250x<u><</u><u />1750
Divide both sides by 250.
x<u><</u><u />7
The most hours that they can do is 7, or it can be less. 
6 0
3 years ago
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