Question 4 (1 point)

The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)

Ghella [55]

Answer:

$m=\frac{2A-kn}{k}$

Hence, option C is true.

Step-by-step explanation:

Given the expression

$A=\frac{k}{2}\left(m+n\right)$

Solving for 'm'

$A=\frac{k}{2}\left(m+n\right)$

Flip the equation

$\frac{k}{2}\left(m+n\right)=A$

Expanding by applying the distributive law: $a\left(b+c\right)=ab+ac$

$\frac{1}{2}km+\frac{1}{2}kn=A$

Add (-1)/2 × kn to both sides

$\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A$

simplify

$\frac{1}{2}km=-\frac{1}{2}kn+A$

Divide both sides by k/2

$\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}$

$m=\frac{2A-kn}{k}$

Therefore,

$m=\frac{2A-kn}{k}$

Hence, option C is true.

7 0

3 years ago

sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of

lisabon 2012 [21]

Answer:

$3 \frac{1}{3}$

Step-by-step explanation:

We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D

8 0

3 years ago

A pizza buffet has prepared 15 pizzas to place on the line at the beginning of lunch at 11:00 a.m. The equation used to describe

Anit [1.1K]

Answer:

B. Every 16 minutes, 22 more pizzas were set out on the buffet.

Step-by-step explanation:

At 11:00 am, x would be equal to 0, and there would be 15 pizzas on the buffet line. Then, every 8 minutes, 11 more pizzas are added to the buffet line. So in 16 minutes, 22 pizzas will be added to the buffet.

$\frac{16}{8} =2\\(11)(2) = 22$

7 0

2 years ago

Solve question 10 using substitution or elimination. Show all work.

BlackZzzverrR [31]

Solid paper costs 1.75 each
Printed paper costs 2.50 each

Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of
printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of
printed paper)
Let x = solid paper
Let y= printed paper
12x + 9y = 43.50
8x + 15y = 51.50

Find X:
8x + 15y = 51.50
8x = 51.50 - 15y
x= (51.50 - 15y)8

Substitute X:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618-180y + 72y =348
-108y = 348 - 618
-108y =-270
-108y/-108=-270/-108

Y= 2.50

x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x= (51.50 - 37.50\8
X = 14/8

X = 1.75

To check: x = 1.75; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50

Hope that helps! Have a good day :)

5 0

2 years ago

Suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of 9.6. A sample is drawn from

valkas [14]

Answer: A. 1.2

Step-by-step explanation:

Given : Sample size : n= 64

Standard deviation: $\sigma=9.6$

The formula to find the standard error of mean is given by :-

$S.E.=\dfrac{\sigma}{\sqrt{n}}\\\\\Rightarrow\ S.E.=\dfrac{9.6}{\sqrt{64}}\\\\\Rightarrow\ S.E.=\dfrac{9.6}{8}=1.2$

Therefore, the standard error of the mean= 1.2

Hence, A is the right option.

7 0

3 years ago