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3 years ago

Point C lies between points A and D. If AC = 7 inches and CD = 13 inches, what is the measure of AD?

Mathematics

1 answer:

uysha [10]3 years ago

3 0

Answer:

AD=20 inches

Step-by-step explanation:

Add the measure of AC and CD and it would equal AD

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What equation is graphed in this figure? HELP PLEASE

UkoKoshka [18]

I believe that would be b

5 0

3 years ago

Read 2 more answers

15. Jim had 103 red and blue marbles. After giving of his blue marbles and 15 of his red marbles

sesenic [268]

This question above is incomplete

Complete Question

Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?

Answer:

70 Blue marbles

Step-by-step explanation:

Let red marbles = R

Blue marbles = B

Step 1

Jim had 103 red and blue marbles.

R + B = 103.......Equation 1

R = 103 - B

Step 2

After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles

2/5 of B to Samantha

Jim has = B - 2/5B = 3/5B left

He also gave 15 red marbles to Samantha

= R - 15

The ratio of what Jim has left

= Red: Blue

= 3:7

= 3/7

Hence,

R - 15/(3/5)B = 3/7

Cross Multiply

7(R - 15) = 3(3/5B)

7R - 105 = 3(3B/5)

7R - 105 = 9B/5

Cross Multiply

5(7R - 105) = 9B

35R - 525 = 9B............ Equation 2

From Equation 1, we substitute 103 - B for R in Equation 2

35(103 - B) - 525 = 9B

3605 - 35B - 525 = 9B

Collect like terms

3605 - 525 = 9B + 35B

3080 = 44B

B = 3080/44

B = 70

Therefore, Jim originally had 70 Blue marbles.

4 0

3 years ago

A rectangular prism has a length of 8 inches a width of 4 inches and a height of 2 1/4 inches. The prism is filled with cubes th

Sedaia [141]

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Number of 1/4 inches cubes length-wise:
-------------------------------------------------------------------------------------
$4 \div \dfrac{1}{4}$

$=4 \times 4$

$=16$

-------------------------------------------------------------------------------------
Number of 1/4 inch cubes width-wise:
-------------------------------------------------------------------------------------
$8 \div \dfrac{1}{4}$

$=8 \times 4$

$=32$

-------------------------------------------------------------------------------------
Number of 1/4 inch cubes height-wise:
-------------------------------------------------------------------------------------
$2\dfrac{1}{4} \div \dfrac{1}{4}$

$=\dfrac{9}{4} \times \dfrac{4}{1}$

$=9$

-------------------------------------------------------------------------------------
Total number of 1/4 inch cubes:
-------------------------------------------------------------------------------------
16 x 32 x 9 = 4608

-------------------------------------------------------------------------------------
Answer: 4608 cubes are needed to fill the rectangular prism
-------------------------------------------------------------------------------------

7 0

3 years ago

Read 2 more answers

A model of a volcano has a height of 12 in., and a diameter of 12 in.

solong [7]

Answer:

452.16 cm³

Step-by-step explanation:

I assume the shape of the volcano is a cone.

V = (1/3)πr²h

r = d/2 = 12 in./2 = 6 in.

V = (1/3)(3.14)(6 in.)²(12 in.)