2/3 of a some of money is 48p. What is 5/8 of the sum of money?

Answers

Answer 1
Answer: Let the sum of money be x
so 2/3 of x = 48p
so x = 48*3/2 = 72p
so 5/8 of the sum of money = 5/8*72 = 45p

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The number p is 20 more than the number q . using algebra write the relationship between p and q .
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Divide r+5/ r^2+5r-14 by r^2+4-21/r-2

Answers

So we want to divide (r+5)/(r^2+5r-14) by (r^2+4r-21)/(r-2).
The first thing we are going to do is factor the denominator of the first fraction and the denominator of the second one:
- For our first fraction:
r^2+5r-14=(r+7)(r-2)
Now we can rewrite our first fraction: 
(r+5)/(r^2+5r-14) = (r+5)/((r+7)(r-2))
- For our second fraction: 
r^2+4r-21=(r+7)(r-3)
Now we can rewrite our second fraction:
(r^2+4r-21)/(r-2) = ((r+7)(r-3))/(r-2)

Last but not least, we can express our division as a fraction and simplify: 
((r+5)/((r+7)(r-2)))/( ((r+7)(r-3))/(r-2))  = ((r+5)(r-2))/((r+7)(r-2)(r+7)(r-3)) = (r+5)/((r+7)^2(r-3))

We can conclude that the result of dividing r+5/ r^2+5r-14 by r^2+4r-21/r-2 is: (r+5)/((r+7)^2(r-3))

The graph of the linear equation 3x + 5y
= 15 cuts the x-axis at the point ________.​

Answers

Answer:

(0,5)

Step-by-step explanation:

3x-5y=15

Plug in 0 for y, because we are trying to find the value of x, when y is 0

so, 3x-5(0)=15

3x=15     Divide both sides by 3

x=5

so the answer in coordinate form is (0,5)

PLS HELP ASAP
((attachment))

Answers

The answer is A.80.3
equation to use is C=cos^-1 [a^2+B^2+-2^2 /2ab
A=21
B=33
C=36
21^2+33^2-36^2
21^2=441
33^2=1089
36^2=1296
441+1089=1530
1530-1296=234
234/2=117
cos^-1*117=80.28
rounded gives you 80.3, hope this helps :D
doing the math i got 82.3 but please check  in with someone else

12x²-7x+10=0 by quadratic formula

Answers

Photo attached with the working out.

Hope it helped! :D
Have a Brainly day!

The music festival took 77 days to plan. How many weeks did it take to plan the festival?
(1 week = 7 days)


A.
539 weeks

B.
85 weeks

C.
70 weeks

D.
11 weeks
Question Resources

Answers

77 days turned into weeks means that you have to divide by seven.
77/7 = 11.
It took eleven weeks to plan (Answer choice D)

Answer:

(D) is the answer

3 less than the quotient of 20 and x

Answers

The word 'quotient' tells you that the two numbers will be divided. So, the quotient of 20 and x is (20)/(x). The phrase 'less than' means you're taking the first number (3) away from the second number ((20)/(x)). So, 3 less than the quotient of 20 and x is (20)/(x) - 3 .
"3 less than" would be after the quotient of 20 and x."Less than" means subtraction. "quotient" means division .
So,the expression would have to be: (20÷3)-3
In other terms "twenty divided by three minus three." Any questions?