Let x = 1st number and y = 2nd number
Using the sentences:
The
sum of two numbers is 51: x + y = 51
one fourth of one number exceeds one fifth of another number by 6:
(1/4)x > (1/5)y + 6
This means y is the smaller number.
From x + y = 51 → x = 51 - y
Plug into the inequality
(1/4)(51 - y) > (1/5) y + 6
Multiply each side by 20
5(51 - y) > 4y + 120
251 - 5y > 4y + 120
-9y > -131
y <
Answer:
4 tens
Step-by-step explanation:
3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.
Answer:
That would be C, 9:25
Step-by-step explanation:
That is because you would dividing the number of boys over number of girls riding bikes. 45/125. Then in simplest form, the fraction will be 9/25, meaning in ratio it is 9:25
Hope it helps:)
∠BAD is acute.
Hope my answer helped u :)
To be able to find the value of X, we have to cross multiply the two fractions then solve the equation.
As so,
6/4 = 15/x
Cross Multiply:
6 x X = 6x
4 x 15 = 60
We cross multiplied, now we can set up the equation:
6x = 60
Simplify: (Get X by itself)
Divide 6 on each side
6 / 6x = 60 / 6
x = 60 / 6
x = 10
Now we have the total of X! To check our answer, we can substitute X for 10 in the original equation.
As so:
6/4 = 15/10
6/4 = 1.5
15/10 = 1.5
Correct! Our answer is X = 10!
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