Et the numerator be x, so the denominator is x + 4. So we have:
<span>x/(x + 4) = 9/15 (cross multiply) </span>
<span>15x = 9(x + 4) </span>
<span>15x = 9x + 36 </span>
<span>15x </span>- 9x<span> = 9x - </span>9x<span> + 36 </span>
<span>6x = 36 </span>
6x/6<span> = 36</span>/6
x = 6
x + 4<span> = 6 + 4 = </span>10
<span>Sine the numerator is 6 and the denominator is 10, then the fraction is 6/10, which in the simplest form is equal to 3/5. </span>
<span>Since 9/15 in the simplest form is also equal to 3/5, then 6/10 is equivalent to 9/15. </span>
<span>Thus, 6/10 is the required fraction. hope i helped</span>
Answer:
The number is -4.
Step-by-step explanation:
Let the number be n.
Given:
Max adds 7 to a number.
hence it is given as n+7
Multiply's the sum by -4 the result is 3 times the same number.
Hence the equation can be written as;
![-4(n+7)=3n](https://tex.z-dn.net/?f=-4%28n%2B7%29%3D3n)
Now Solving the above equation to find value of n we get;
![-4(n+7)=3n\\-4n-28=3n\\-4n-3n=28\\-7n=28\\n=\frac{28}{7}=-4](https://tex.z-dn.net/?f=-4%28n%2B7%29%3D3n%5C%5C-4n-28%3D3n%5C%5C-4n-3n%3D28%5C%5C-7n%3D28%5C%5Cn%3D%5Cfrac%7B28%7D%7B7%7D%3D-4)
The value of n is -4.
Now when we add 7 to number -4 we get answer as 3.
And when the sum is multiplied by -4 we get answer -12.
Also 3 times of number is equal to 3 multiplied by -4 we get answer as -12.
Hence when the sum is multiplied by -4 it is equal to 3 times of same number.
Hence from above we can say that the number is -4.
First, convert 5 and 24/10 into a mixed fraction:
5 and 24/10 = 74/10
Now, divide 74/10 by 4:
74/10 ÷ 4 = 74/10 × 1/4
= 74/40
= 37/20
= 1 and 17/20
(Remember that dividing requires you to reciprocate 4)
Hope this helps!
Answer:
16 problems.
Step-by-step explanation:
100% divided by 20 questions.
100/20 is equal to 5, therefore each question is worth 5 points.
Grade of 80% divided by points per question.
80/5 is 16 so the student answered 16 questions correctly.
Answer:
4:1
Step-by-step explanation:
just divide by 2