How can 6(5 + 9) be expressed using the distributive property?

Community coffee company wants a new flavor of cajun coffee. how many pounds of coffee worth $7 a pound should be added to 14 po

olga_2 [115]

14x4=56
5x14=70
70-56=14
14/7=2

8 0

3 years ago

someone please explain to me how to find the area PLEASE! Find the area and perimeter of quadrilateral ABCD below. Explain your

Lunna [17]

Answer:

Part A) The area of the figure is $24\ units^{2}$

Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

$A=\frac{1}{2}bh$

Area of triangle ABD

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(9-5)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

Area of triangle BCD

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(5-1)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of the figure is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+AD$

we have

$A(-5,1),B(-8,5),C(-5,9),D(-2,5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units$

Find the distance BC

$d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units$

Find the distance CD

$d=\sqrt{(5-9)^{2}+(-2+5)^{2}}=5\ units$

Find the distance AD

$d=\sqrt{(5-1)^{2}+(-2+5)^{2}}=5\ units$

substitute the values

$P=5+5+5+5=20\ units$

7 0

3 years ago

A movie theater sells 180 adult tickets and 60 children tickets to a movie. As part of a special promotion one ticket will be ch

lidiya [134]

Answer:

25%

Step-by-step explanation:

180+60=240

60/240=0.25

0.25*100

25%

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✉️ If any further questions, inbox me! ✉️

5 0

3 years ago

Question ^^ Give the answer with the appropriate unit of measure.

borishaifa [10]

Answer:

-11

Step-by-step explanation:

-1-10=-11

If by difference, the question means subtraction, then the answer is -11. If they mean the distance between, then the answer is 9

3 0

3 years ago

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pi

melamori03 [73]

Answer:

The correct option is $2.50.

Step-by-step explanation:

This can be determined by calculating the change in total cost of lunch using the data given in the question as follows:

Slice of pizza Total cost of lunch ($) Change in total cost of lunch ($)

0 7.5 -

1 10 2.5

2 12.5 2.5

3 15 2.5

4 17.5 2.5

5 20 2.5

6 22.5 2.5

7 25 2.5

8 27.5 2.5

Since the change in total cost of lunch in table abov is constant at $2.50, this implies that for each additional slice of pizza that is purchased, the total cost of lunch increases by $2.50.

Therefore, the correct option is $2.50.

7 0

3 years ago

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