Answer:
P = 12x +32
Step-by-step explanation:
The perimeter is found by using the formula
P =2(l+w)
We know the length and the width
P = 2(x+4 + 5x+12)
Combine like terms
P = 2(6x+16)
Distribute
P = 12x +32
Answer:
347
Step-by-step explanation:
i added them all
Answer:
The answers to each part are:
Part A.
- <u>The quantity of apples is one-third of the quantity of grapes</u>.
Part B.
- <u>The quantity of apples is a quarter of the quantity of strawberries</u>.
Part C.
- <u>The number of cherries is two-elevenths of the total fruit</u>.
Step-by-step explanation:
To identify the answer in each case, you must remember that all the parts are equal, then:
Part A.
The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:
So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.
Part B.
The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:
In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.
Part C.
First, you must add all the part of fruit:
- <em>1 part apple</em>
- <em>1 part orange</em>
- <em>4 parts strawberry</em>
- <em>2 parts cherry </em>
- <em>3 parts grape</em>
The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:
- 2 / 11 = 2/11 (two-elevenths)
Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.
Answer:
Step-by-step explanation:
<u>Increase by 23%</u>
- x + 23% of x =
- x + (23/100)x =
- x + 0.23x =
- (1 + 0.23)x =
- 1.23x
1.23 is the answer
Answer:
Midpoint of a line segment with the endpoints A(a1, a2), B(b1, b2) is M(1/2*(a1 + b1), 1/2*(a2 + b2))
So,
(1/2*(-4 + 7), 1/2*(-3 + (-5))) = (1/2*3, 1/2*(-8)) = (1.5, -4)
Answer D is correct.