Answer:
5/8
Step-by-step explanation:
Explanation:
First you need to put the same base for both numbers, finding the minimum common multiple of 4 and 8, that's 8.
Turning 1/4 in a number with 8 as base: first, divide 8 : 4 = 2. Then multiply 1/4 x2 and it will be 2/8.
Then you're able to calculate it: keep the base and add the tops
2/8 + 3/8 = 5/8
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In order to solve the problem above, represent the width by x. With this, the length of the rectangular portrait is 1.5x. The perimeter of the rectangle is two times the sum of the length and width. This translates to,
2 (1.5x + x) = 10 ft, x = 2 ft.
Thus, the length of the rectangular portrait is 3 ft.
Answer:
10x + 7
Step-by-step explanation:
3(2x + 5) added to 2(2x - 4) is the same as 3(2x +5) + 2(2x - 4)
Remember PEMDAS
P – Parentheses (distribution)
E – Exponents
M – Multiplication
/D – Division (whichever comes first from left to right)
A – Addition
/S – Subtraction (whichever comes first from left to right)
First, we will distribute the left side.
3(2x + 5)
3 * 2x = 6x
3 * 5 = 15
Add them together to get:
6x + 15
6x + 15 + 2(2x - 4)
We must now distribute the right side.
2 * 2x = 4x
2 * -4 = -8
Add them together to get:
4x -8
We now have:
6x + 15 + 4x - 8
<u>Let's combine like terms.</u>
6x and 4x are like terms.
Combine: 6x + 4x = 10x
15 and -8 are like terms.
15 - 8 = 7
Now we have 10x + 7
Since 10 and 7 don't have any GCF, we have our answer.
10x + 7
~ 
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