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RUDIKE [14]
3 years ago
7

charity is four times as old as her daughter. she is also six years younger than her husband. The sum of their ages ten years to

come will be 117 years. How old is Charity today?​
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0

Answer:

36years

Step-by-step explanation:

Let charity present age be x

Charity daughter present age be y

Charity husband present age be z

If the sum of their ages ten years to come is 117, then;

10+x+10+y+10+z = 117

30+x+y+z = 117

x+y+z = 87 ... 1

If charity is four times as old as her daughter, then;

x = 4y

y = x/4 ... 2

If she is also six years younger than her husband, then;

x = z- 6

z = x+6 .. 3

Substitute 2 and 3 into 1;

x + x/4 + (x+6) = 87

Multiply through by 4

4x + x + 4(x+6) = 4(87)

5x+4x+24 = 348

9x = 348 - 24

9x = 324

x = 324/9

x = 36

hence Charity is 36years old today

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I need help with this question, with work please<br> ANSWER ASAP!!!!!!!!!!!!!!!!!!!!
andriy [413]

Answer:

5^12 or (244140625)

Step-by-step explanation:

I've always hated exponents but the way I visualize this is essentially taking 5^4 and multiplying it by itself 3 times (because it is put to the power of 3).

(5^4)·(5^4)·(5^4)

when you do this you can just add the exponents together

5^(4+4+4)

5^12

8 0
3 years ago
Read 2 more answers
Translate the sentence into an inequality. Eight times the sum of a number and 20 is greater than or equal to 25. Use the variab
PtichkaEL [24]

Answer:

8x + 20 ≥ 25

Step-by-step explanation:

Well 8 times the sum of a number "x" plus 20,

So we can write the following,

8x + 20

and that should be greater than or equal to 25

8x + 20 ≥ 25

<em>Thus,</em>

<em>as an inequality it is 8x + 20 ≥ 25.</em>

<em />

<em>Hope this helps :)</em>

3 0
3 years ago
Please help with numbers 5-18..ik its a lol but please this a 4 page packet and please show work
galina1969 [7]

Answer:

5-18 answers below ↓

Step-by-step explanation:

5) 14/2=7

7^2=49

10^2=100

h^2+49=100

-49 -49

h^2=51 h=✓51= 3•17

6) 48/2= 24

24^2=576

44^2=1936

h^2+576=1936

-576 -576

h^2=1360 h=✓1360= 4•340

7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)

576+b^2=1024

-576 -576

b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..

8) 24^2+b^2=45^2

576+b^2=2025

-576 -576

b^2=1449 b=✓1449=9•161 length of 3rd side hypo..

9) 40^2+b^2=85^2

1600+b^2=7225

-1600 -1600

b^2=5625 b^2=✓5625 b=75 length of 3rd side leg

10) 49^2+b^2=168^2

2401+b^2=28,224

-2401 -2401

b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..

11) 72^2+b^2=78^2

5184+b^2=6084

-5184 -5184

b^2=900 b=✓900=30 length of 3rd side leg

12) 7^2+x^2=10^2

49+x^2=100

-49 -49

x=51=3•17

13) 12^2+x^2=28^2

144+x^2=784

-144 -144

x=✓640=4•160

14) 44^2+x^2=52^2

1936+x^2=2704

-1936 -1936

x=✓768=4•192

15) 120^2+h^2=125^2

14,400+h^2=15,625

-14,400 -14,400

h^2=1,225 h=✓1225 h=35

16) might be wrong but worth a try 8+8=16

16^2+x^2=16^2

256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:

7 0
3 years ago
A gas tank holds exactly 13 gallons. If the tank is 2/3 empty, how many gallons remain in the tank?
madam [21]

2/3 of 13 is 8. The answer would be 8. If you want to be exact, it would be 8.66666666667.

Have a great day!

-Pepetreefrogthe2nd

5 0
4 years ago
Multiply.<br><br> (−23)(54)<br><br> Enter your answer as a fraction, in simplified form, in the box.
Sati [7]

Answer: -\frac{1242}{1}

Step-by-step explanation:

By definition, negative numbers, positive numbers and zero are Integers.

It is important to remember the multiplication of signs:

(-)(-)=+\\(+)(+)=+\\(-)(+)=-

You can observe that you must multiply two integers, one of them is negative and the other one is positive. The product will be an integer. Then:

(-23)(54)=-1242

Since any Integer can be written as a fraction, you can rewrite the product by writing -1242 as the numerator and 1 as the denominator.

Then, this is:

=-\frac{1242}{1}

5 0
4 years ago
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