Answer:74
Step-by-step explanation: first you need to find the ratio so divide 220 by 32 to get 6.875 then didvide 510 by that same number and you will get 74. 18181818 but 74 because you can’t have a fraction of a person
Answer:
x=4
Step-by-step explanation:
<u>Step 1</u>:-
given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.
AB = 2x and BC = 3(x+1) and longest side AC= 17
by using Pythagoras theorem

<u>step 2:-</u>
The hypotenuse is longest side is AC = 17 units
(17)^2 = 4x^2 +9(X+1)^2
on simplification, we will use formula

289 = 4x^2 +9(x^2+2x+1)

finding factors 70 X 52 = 3640


Taking common , we get
13x(x-4)+70(x-4)=0
x-4=0 and 13x+70=0
x=4 and 
x=4 and 
we can not choose negative value so x value is 4
Final answer:- x = 4
<u>verification:-</u>
<u></u>
<u></u>
289 = 4(4)^2+9(4+1)^2
289 = 64 +9(25)
289=289
Answer:
The Prime Factorization of 80 is, 2 × 4 × 10, 2 × 2 × 2 × 2 × 5 and 2 × 4 × 10
Step-by-step explanation: They are correct, because they all equal 80. 2 × 4 × 10=80 and 2 × 4 × 10=80, and 2 × 2 × 2 × 2 × 5=80.
24 × 5=120, Therefore it's the only incorrect question.
Answer:
First person: $107
Second person: $98
Third person: $93
Step-by-step explanation:
Let be "f" the amount of money (in dollars) that the first person contributed to the purchase, "s" the amount of money (in dollars) that the second person contributed to the purchase and "t" the amount of money (in dollars) that the third person contributed to the purchase.
With the information given in the exercise, you can set up the following equations:
Equation 1 → 
Equation 2 → 
Equation 3 → 
Substitute the Equations 2 and 3 into the Equation 1 and then solve for "f":

Finally, substitute the value of "f" into the Equation 2 and then into the Equation 3, in order to find the values of "s" and "t".
Therefore, you get:
