Answer:
M- MONICA
Step-by-step explanation:
Write the prime factorization of both the numerator and denominator.The prime factors of 22 are 2 and 11.
The prime factors of 14 are 2 and 7.
Rewrite the fraction so that the numerator and denominator are written as the product of their prime factors: 22 / 14 = ( 2 × 11 ) / ( 2 × 7 )Cancel out any common prime factors.
We can cancel out a 72from both the numerator and the denominator.22 / 14 = 11 / 7<span>The fraction 22/14 can be simplified to 11/7.</span>
Answer:
<em>15 times and more. After she pours the 15th container, in the middle of the next one, the work will be done.</em>
Step-by-step explanation:
<u>Length, Area, and Volume Scale Factors</u>
If two similar shapes have a length scale factor of a:b, then the scale factor of their areas (or surface lateral areas) is
and the scale factor of their volumes is
.
We are given the scale factor of the surface areas of two similar containers A and B as 4:25.
The length scale factor is

The volume scale factor is:
= 125:8 = 15.625
Warda needs to fill with oil and pour into container B 15.625 times to get container B full of oil.
Thus, after she pours the 15th container, in the middle of the next one, the work will be done
Answer:
We have 9 = 3^2;
Then, 9^x = (3^2)^x = 3^(2x);
We solve 3^(2x) = 3^40;
2x = 40;
x = 20 ÷ 2;
x = 10;
Step-by-step explanation:
Answer:
The slope of the equation y-3=-4(x-5) is -4.
Step-by-step explanation:
This equation is written in point-slope form: y-y₁=m(x-x₁), where "m" is the slope or the equations. In the equation y-3=-4(x-5), the -4 stands in the "m", or slope, spot, so the sope of this equation is -4.