Answer:
c. 130
Step-by-step explanation:
Let call B the quantity of voters who voted yes for both propositions.
From the question we know that twice as many voters voted "yes" for R as for S, that can be written as the following equation:
R+B=2(S+B)
Where R is the number who voted "yes" for R but "no2 for S and S is the number who voted "yes" for S but "no" for R.
Replacing R by 750 and S by 310 and solving for B, we get:
750+B=2(310+B)
750+B=620+2B
2B-B=750-620
B=130
So, 130 voters voted yes for both propositions
Answer:
25 boys
Step-by-step explanation:
1 of 3 kids was a boy, so (1/3)·75 = 25 were boys.
Answer: 183.33
Step-by-step explanation:
We have, 60% × x = 110
or,
60
100
× x = 110
Multiplying both sides by 100 and dividing both sides by 60,
we have x = 110 ×
100
60
x = 183.33
If you are using a calculator, simply enter 110×100÷60, which will give you the answer.
Answer:
make circle open
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
Let the digits that make up the number be a and b.
Given that the square root of the number is equal to the sum of the digits.
Then,
√(10a + b) = a + b
Also given that the square root of the number is less than the number obtained by interchanging the digits by 9, then
√(10a +b) + 9 = 10b + a
Since √(10a + b) = a + b, then
a + b + 9 = 10b + a
a - a + 9 = 10b - b
9b = 9
b = 1
since √(10a + b) = a + b
√(10a + 1) = a + 1
10a + 1= (a + 1)²
10a + 1 = a² + 2a + 1
a² + 2a - 10a + 1 - 1 = 0
a² - 8a = 0
a(a - 8) = 0
a = 0 or a = 8
Using a = 8 and b = 1,
the number 10a + b = 10(8) + 1 = 81.