Answer:
3rd one and last one
Step-by-step explanation:
First one:
4 × 3 × 4 = 48
Second one:
1 × 2 × 4 = 8
Third one:
2 × 3 × 5 = 30
Fourth one:
2 × 5 × 4 = 40
Fifth one:
2 × 2 × 4 = 16
Process of elimination:
The first one is itself greater than 47 units³, so this is definitely not one of the two;
A combination of the fourth prism and the smallest one as the second will give a volume of 48 units³, which is greater than 47 so this prism is also not one of the two we are looking for;
This leaves the second, third and fifth;
The second and third sum to 38, which is less than 42 so it is not the correct combination;
Similarly, the second and last gives only 24 so it is not the correct combination;
This leaves the only remaining option of the third and fifth;
30 + 16 = 46, which confirms this to be the correct combination.
Given:
Lacy work 15 hours last week and she was paid $127.50.
To find:
The hourly pay of Lacy.
Solution:
We have,
15 hours pay = $127.50
To find the hourly pay of Lacy, we need to divide total pay by number of hours.
Therefore, the hourly pay of Lacy is $8.50.
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form: 3x^2 + 7x - 1.
The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or
7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots
Answer:
14/38
21/57
Step-by-step explanation:
You just multiply by 2/2 and 3/3
Answer:
D
Step-by-step explanation:
Given
- 1(x + 7)(x - 4)
each term in the second factor is multiplied by each term in the first factor, that is
leaving the multiplier of - 1 for the time being
x(x- 4) + 7(x - 4) ← distribute both parenthesis
= x² - 4x + 7x - 28 ← collect like terms
= x² + 3x - 28
Hence
- 1(x² + 3x - 28) = - x² - 3x + 28 → D
