Write each rate as a unit rate

3 inches of rain in 6 hours

Answers

Answer 1

Answer: $Rate:\boxed{(3\ in)/(6\ h)}\n\nUnit\ rate:(3\ in)/(6\ h)=(3)/(6)\ in/h=(1)/(2)\ in/h=\boxed{0.5\ in/h}$

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A cable cord is 78 meters long.Workers cut it into 30 pieces of equal length. How many centimeters long is each piece?

The diameter of circles A,C and E are 32 cm, 24cm and 14 cm respectively Which of the following statements are true? Select all that apply

Answers

Answer:

AG = 4

AH = 21

EC = 12

CH = 5

HE = 7

Step-by-step explanation:

The complete question is

The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

Which of the following statements are true? Select all that apply.

•AG = 4

•GC = 10

•AH = 21

•EC = 12

•EH = 5

•CH = 5

•HE = 7

The picture of the question in the attached figure

Verify each statement

1) AG = 4

we know that

$AG=AC-GC$

$AC=32\2=16\ cm$ ----> radius of circle A

$GC=24/2=12\ cm$ ----> radius of circle C

substitute

$AG=16-12=4\ cm$

therefore

The statement is true

2) GC = 10

we know that

$GC=24/2=12\ cm$ ----> radius of circle C

therefore

The statement is false

3) AH = 21

we know that

$AH=AC+CH$

we have

$AC=16\ cm$ ----> radius of circle A

$CH=CE-HE$

$CE=12\ cm$ ----> radius of circle C

$HE=14/2=7\ cm$ ----> radius of circle E

$CH=12-7=5\ cm$

$AH=16+5=21\ cm$

therefore

The statement is true

4) EC = 12

we know that

$EC=24/2=12\ cm$ ----> radius of circle C

therefore

The statement is true

5) EH = 5

we know that

$EH=14/2=7\ cm$ ----> radius of circle E

therefore

The statement is false

6) CH = 5

we know that

$CH=CE-HE$

$CE=12\ cm$ ----> radius of circle C

$HE=14/2=7\ cm$ ----> radius of circle E

$CH=12-7=5\ cm$

therefore

The statement is true

7) HE = 7

we know that

$HE=14/2=7\ cm$ ----> radius of circle E

therefore

The statement is true

Tara has 4 4/5 feet of rope. Part A: How many 2/5 foot pieces can Tara cut from the feet of rope? Show your work.

Answers

12 pieces because 4.8/.4 = 12 pieces

Answer: 12

Step-by-step explanation:

Tara has 4 and 4 over 5 feet of rope.

Part A: How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

Lea walked 1/2 miles in 1/3 hours. How long will it take Lea to walk 2 1/4 miles?
Enter your answer as a mixed number in simplest form in the box.

Answers

(1/2) / (1/3) = (2 1/4) / x......1/2 mile to 1/3 hr = 2 1/4 miles to x hrs
cross multiply because this is a proportion
(1/2)(x) = (1/3)(9/4)
1/2x = 3/4
x = 3/4 * 2/1
x = 6/4 = 1 1/2.....so it will take 1 1/2 hrs

Answer:

It will take Lea 1 1/2 hours to walk 2 1/4 miles.

Can someone help me out!!!??? Please

Answers

Answer:

see below

Step-by-step explanation:

The two marked points are equidistant from their average, which is ...

(-3 +9)/2 = 6/2 = 3

The distance they are from that average is 9-3 = 3 -(-3) = 6.

So, you want an expression that is equivalent to ...

|x -3| = 6

Subtracting 1 from both sides of this equation gives you the one seen in choice B:

|x -3| -1 = 5

A tutor schedules either 30-minute sessions or 60-minute sessions with her students.Last week, the tutor gave 8 sessions which lasted for a total of 7 hours. How many 60-minute sessions did the tutor give last week?ANSWER THIS QUICKLY PLEASE! THANKS!

Answers

6 one hour sessions and 2 half hour sessions for a total of 8 sessions. Answer: 6

The tutor gave 7 sessions that lasted 60 minutes last week.

7x60=420

420minutes in total, divided by 60min session = 7 sessions that lasted 60 minutes

I hope this helped, and you understand

a small airplane used 5 2/3 gallons of fuel to fly a 2 hour trip how many gallons were used each hour