Answer:
D. All real numbers.
Step-by-step explanation:
This expression can have any real number assigned to x.
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to make a description
Mathematically, a prism is a solid shape with parallel bases, separated by a particular height
To find the volume of the prism, all we have to do is to find the area of one of the bases
After this, we then multiply the value obtained by the height of the prism. This gives the volume of the prism
Answer:
30
Step-by-step explanation:
The absolute value function always gives a positive value, that is
| - a | = | a | = a
Given
| - 10 | + | - 20 |
= 10 + 20
= 30
Answer:
They sold 175 small popcorns and 103 Large popcorns
Step-by-step explanation:
The equation is
L + S = 278 this means the total large and small popcorn that they sold is 278
3L+1S= 484 The owner of the question told me the total profit is 484
When we solve we can turn the first equation into L=-S+278
we substitute L=-S+278 into 3L+1S=484 we get -3S+ 834+ S= 484
-3S+834+1S=484
-2S+ 834= 484
-2S=- 350
2s= 350
s= 175
We know that they sold 175 small popcorns now. Now we Substitute 175 into L+ S= 278 and get L+ 175=278
L+175=278
L= 103
They sold 175 small popcorns and 103 Large popcorns
Answer: 17/20
Step-by-step explanation:
Let's define:
N = numerator
D = denominator.
The fraction is N/D.
We know that:
"The numerator of fraction is 3 less than denominator. "
N = D - 3
" If 5 is subtracted from both numerator and denominator, the fraction becomes 4⁄5."
(N - 5)/(D - 5) = 4/5.
Then we have a system of equations of two variables:
N = D - 3
(N - 5)/(D - 5) = 4/5.
The first step to solve this, is to replace the first equation into the second, in that way we can work with only one variable.
(D - 3 - 5)/(D - 5) = 4/5.
Now we can solve this for D.
(D - 8)/(D - 5) = 4/5
D - 8 = (D - 5)*(4/5) = (4/5)*D - 4
D - (4/5)*D = -4 + 8 = 4
(1/5)*D = 4
D = 4*5 = 20
And here we can use the first equation to find the value of N.
N = D - 3 = 20 - 3 = 17
Then our fraction is:
N/D = 17/20
