Answer:
The only grouping that is a true proportion is B.
Step-by-step explanation:
To tell if two are proportional, simply multiply the numerator from the first by the denominator of the second. Then multiply the denominator from the first and the numerator for the second. If the two products are the same, then it is proportional.
B) 4/12 = 6/18
4*18 = 12 * 6
72 = 72
Work out 8% of 30000
10% of 30000 is 3000
1% of 30000 is 300
2% of 30000 is 300x2=600
Therefore 10%-2%= 3000-600=2400
It therefore follows that Mayra earned 4540 + 2400 = 6940 for January
Answer:
12.5
Step-by-step explanation:
I think
The area is 73. You have to find the area of both triangles using the formula a = 1/2bh. The shaded triangle is 108 square yards but because another triangle is cut out of it, we need to subtract the area of the white triangle from the shaded triangle. The area of the white triangle is 35. So now we have 108-35 =73. That’s how i got 73.
Answer:
YES
NO
NO
Step-by-step explanation:
The given polynomial is: 
(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.
To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.
∴ f(5) = 5³ + 4(5)² - 25(5) - 100
= 125 + 100 - 125 - 100
= 225 - 225
= 0
We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.
Now, to check (x + 2) is a factor.
i.e., to check x = - 2 satisfies f(x) or not.
f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100
= -8 + 16 + 50 - 100
= -108 + 66
≠ 0
Therefore, (x + 2) is not a factor of f(x).
To check (x - 4) is a factor.
∴ f(4) = 4³ + 4(4)² - 25(4) - 100
= 64 + 64 - 100 - 100
= 128 - 200
≠ 0
Therefore, (x - 4) is not a factor of f(x).