Kaylie and Juan are in a Dance-a-thon. Contestants rest for the same amount of time every hour. Kaylie rests for 22 minutes in 4 hours. How long did they rest in 28 hours? Find the unit rate.

Answers

Answer 1

Answer:

154 mins or 2 hour and 34 mins

Step-by-step explanation:

Step 1:

22 : 4          Ratio

Step 2:

22 : 4 = x : 28          Equation

Step 3:

4x = 616       Multiply

Step 4:

x = 616 ÷ 4        Divide

Answer:

x = 154

Hope This Helps :)


Related Questions

what is the value of 4/5(8+7)-2/3(8+7)​

Answers

Answer:

The answer is 2.

Hope this helps and if you could mark this as brainliest. Thanks!

Consider the equation 5x + 7 = 2x + 28. Your tasks to explain the steps you would take, in
order, to solve the equation for x. Imagine that you are writing this for someone who is learning
about this process for the first time. You would be as specific as possible and write in complete
sentences.

Answers

Answer:

x=7

Step-by-step explanation:

Step 1: Put the variables and constants on the same side and change their signs so it'll look like this 5x-2x = 28 - 7, you always move the smaller number to either the left or right depending on its position in the problem.

Step 2: solve each side normally like this, 3x = 21

Step 3: to get x by itself divide 3 on both sides and you should get x=7

Here's a run through of the steps

5x+7=2x+28

   -7       -7(subtract 7 from both sides

5x=2x+28-7

-2x   -2x(subtract 2x from both sides)

5x-2x=28-7

3x=21

3x/3 = 21/3 (divide 3 from both sides)

x=7

Find the missing side lengths leave your answerss as radicals

Answers

Answer:

n=7

m= 7[tex]\sqrt{3}[/tex]

Step-by-step explanation:

lmk if you need work

f(x) = 5/4a3 – 3a2 + 1/3a y g(x)= 2/5a3 + 3/4a - 6/5 ???
urgent!!

Answers



I believe this is the answer if you need it in this order.

if a(2x-3)=bx+5 then the solution for x in terms of a and b is

Answers

Answer:

x=(3a+5)/(2a-b)

Step-by-step explanation:

first we distribute the a to the 2x and -3

2ax -3a=bx+5

we move the -3a over by adding 3a

2ax=bx+5+3a

then we move the bx over

2ax-bx=5+3a

we can now group the left side like this

x(2a-b)=5+3a)

to find x all we must do is divide both sides by (2a-b)

x=(3a+5)/(2a-b)

00:0
A toy shop purchases 125 identical stuffiedi animals for a total cost of $312.50 and sells them for $7 each
What is the percent markup?
%

Answers

Answer:

They marked it up 30 cents

Step-by-step explanation:

you do 312.50 divided by 125. Then you get 2.50. Then you multiply 7 times 125 then you get 2.80. Finally you do 2.80 minus 2.50 which equals 30 cents.

if £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after two years?

Answers

Answer:

2121.8

Step-by-step explanation:

2000(1+0.03/1)^2

A= P(1+ r/n) ^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

I don't remember what I learned. So, this might be wrong because I googled the formula :)

In △BCD, H is the centroid. If HF=6 find BF.

Answers

Answer:

18

Step-by-step explanation:

The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex

So HF=⅓BF

So BF=3xHF=3x6=18

The sales tax in the town where Amanda lives is 9%. Amanda paid $36 in sales tax on a new stereo. What was the price of the stereo?

Answers

Answer:

$400

Step-by-step explanation:

9%= .09

$36÷.09=$400

Answer:

400

9 percent equals .09

36 divided by ,09 equals 400

400 would be your answer

$1,400 principal earning 6%, compounded semi-annually, after 10 years

Answers

Answer: $2528.56  is the answer because if you do the problem you should get something like this

A=P(1+r/n)^nt

Plug in the values:

P=1400, r=6/100=0.6,

n=2 and t=10

A=1400(1+.06/2)^2(10)

A=$2528.56

Hope it helped

Yours,

Nathaniel

Step-by-step explanation:

please help

the answer choices are

8 and 7/13

4 and 28/30

8 and 6/30

8 and 28/30

will give brainlyest

Answers

Answer:

answer is 8 and 28/30

Step-by-step explanation:

Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?

Answers

Answer:

495 different ways

Step-by-step explanation:

This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;

nCr = n!/(n-r)!r!

For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;

12C4 = 12!/(12-4)!4!

12C4 = 12!/8!4!

12C4 = 12*11*10*9*8!/8!*4*3*2

12C4 = 12*11*10*9/24

12C4 = 11880/24

12C4 = 495 ways

Hence this can be done in 495 different ways

7+5(x−3)=227, plus, 5, left parenthesis, x, minus, 3, right parenthesis, equals, 22 a true statement?

Answers

Answer:

x = 47

Step-by-step explanation:

Given the equation :

7+5(x−3)=227

Expand the equation :

7 + 5x - 15 = 227

5x = 227 + 15 - 7

5x = 235

x = 235 /5

x = 47

Statement is true at x = 47

Someone please help me with my whole quiz! I am on question 5. I am doing a lot of points for this!

Answers

Answer:

For any equation X€R But here is Nothing like it.

Step-by-step explanation:

0 = -x^-4 is wrong to say.

On picture day, the students are placed in order from tallest to shortest. Place the following students in order from tallest to shortest.

Javien is 4 2/3 feet tall
Danny is 3 11/12 feet tall
Samiya is 4 1/6 feet tall
Taylor is 4 7/8 feet tall

Answers

Answer:

4 7/8, 4 2/3, 4 1/6, 3 11/12

Step-by-step explanation:

To make it easier, convert it into decimals

4 2/3=4.666...

3 11/12=3.9166...

4 1/6=4.166...

4 7/8=4.875

Please help ASAP! Mathematics!

Answers

Answer:

B.) See attachment below

Step-by-step explanation:

Answer:

Personally, I would say the answer is B.

But don't quote me.

Sorry if i'm wrong. Let me know if I am.

Have a great day hon.

If sally has 90000000 apples and gives her freind sophie 1900 of them , and keeps 900 apples for her self hown many apples did she give to charity?1

Answers

Answer: 89,998,910

Step-by-step explanation: if she gives 1900 away and keeps 900 then I’m assuming she gives the rest away to charity and that would be 89,998,910 apples

Answer:

She gave 89997200 apples to charity

Step-by-step explanation:

90000000 - 1900 - 900 = 89997200

or

90000000 - (1900 + 900) = 89997200

The image below shows the parts of the pair of similar triangles that we've solved for so far in the video. What is the length of side AB?

Answers

The answer is 8 because the second triangles sides are 1.5 times the first.

Determine the remaining sides and angles of the triangle ABC

what is the measure of angle B

what is the length of side a

what is the length of side b​

Answers

Answer:

The measure of angle B is 41.5°

The length of side a is 30.6 feet ⇒ to the nearest tenth

The length of side b is 32.9 feet ⇒ to the nearest tenth

Step-by-step explanation:

The sum of the measures of the interior angles in a triangle is 180°

In the given Δ ABC

∵ m∠A = 38.1°

∵ m∠C = 100.4°

→ By using the fact above

∵ m∠A + m∠B + m∠C = 180°

∴ 38.1 + m∠B + 100.4 = 180

→ Add the like terms in the left side

∴ 138.5 + m∠B = 180

→ Subtract 138.5 from both sides

∴ m∠B = 41.5°

The measure of angle B is 41.5°

∵ a is the opposite side of ∠A

∵ b is the opposite side of ∠B

∵ c is the opposite side of ∠C

→ By using the sine rule

∴ [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

∵ c = 48.4 ft, m∠A = 38.1°, m∠B = 41.5°, and m∠C = 100.4

→ Substitute them in the sine rule above

∴ [tex]\frac{a}{sin38.1}[/tex] = [tex]\frac{b}{sin41.5}[/tex] = [tex]\frac{48.4}{sin100.4}[/tex]

→ By using cross multiplication between the 1st and the 3rd fractions

∴ a × sin 100.4 = 48.8 × sin 38.1

→ Divide both sides by sin 100.4

∴ a = 30.61429861

The length of side a is 30.6 feet ⇒ to the nearest tenth

→ By using cross multiplication between the 2nd and the 3rd fractions

∴ b × sin 100.4 = 48.8 × sin 41.5

→ Divide both sides by sin 100.4

∴ b = 32.87596206

The length of side b is 32.9 feet ⇒ to the nearest tenth

Karon has 16 friends he invited to his party. If each friend brings him 1.5 pounds of candy as his treat, how many pounds of candy will he get? Karon is surprised by the amount of candy he received. He wants to give half the candy away. How many pounds will Karon give away?

Answers

He will receive 24 pounds of candy.

thats a lot o.O

helppppp me please .

Answers

Answer:

stuff

Step-by-step explanation:

180-72 = 108

a2 = 108º

a3 = 108

a4 = 72

a4+a6 = 180 so

a11+a13 + 180...

3p- 2c^3- 3c^3p +2 Write as a product

Answers

Answer:

[tex] (3p + 2) (1 - c)(1 + c + {c}^{2} )[/tex]

Step-by-step explanation:

[tex]3p- 2c^3- 3c^3p +2 \\ \\ = (3p - 3 {c}^{3} p) +( 2 - 2c^3) \\ \\ = 3p(1 - c^3) + 2(1 - c^3) \\ \\ = (1 - c^3)(3p + 2) \\ \\ = (1 - c)(1 + c + {c}^{2} )(3p + 2) \\ \\ = \bold{ \red{(3p + 2) (1 - c)(1 + c + {c}^{2} )}}[/tex]

3) A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then

find AB

Answers

Answer:

AB = 8

Step-by-step explanation:

A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then find AB

Step 1

Find x

BC = AB + AC

8x + 5 = 2x + 4 + 3x + 7

Collect like terms

8x - 2x - 3x = +4 + 7 - 5

3x = 6

x = 2

Step 2

Find AB

= AB= 2x + 4

AB = 2(2) + 4

AB = 4 + 4

AB = 8

1/2 + 5/2 =

I need help with this

Answers

Answer:

3

Step-by-step explanation:

1/2+5/2=    6/2=    3/1=       3

I hope this helps you and good luck!

How much simple interest would x dollars earn in 13 months at a rate of r percent?​

Answers

16 im adding this for yes reasons

Solve: |x - 4| = 0
Help if can

Answers

Answer:

answer is x=4 I'm pretty sure

Step-by-step explanation:

I used a calculator

Answer:

x=4

Step-by-step explanation:

If you plug 4 in, 4-4=0 and the absolute value will not change anything.

I need help with this question???​

Answers

Answer:

X = 27

just trust me, im doing similar work as you

Answer: X = 27

Step-by-step explanation:

A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 canimeters. What is the volume of the tube

Answers

Answer:

[tex]Volume = 5028.6cm^3[/tex]

Step-by-step explanation:

Given

[tex]Height = 10cm[/tex]

[tex]Diameter = 8cm[/tex]

Required

Determine the volume

The volume of a cylinder is calculated as thus:

[tex]Volume = \pi r^2h[/tex]

Where [tex]r = radius[/tex]

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 8cm[/tex]

[tex]r = 4cm[/tex]

[tex]h = 100cm[/tex]

Take

[tex]\pi = \frac{22}{7}[/tex], so we have

[tex]Volume = \pi r^2h[/tex]

[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]

[tex]Volume = \frac{22}{7} * 16 * 100[/tex]

[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]

[tex]Volume = \frac{35200}{7}[/tex]

[tex]Volume = 5028.6cm^3[/tex]

Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long would it take him to build 15 model airplanes.

Answers

Answer:

450 minutes

Step-by-step explanation:

Since Elijah can build 5 model airplanes in 150 minutes. He can build 1 model airplane in 30 minutes. To find this you divide 150 by 5. The question asks for how many minutes it would take Elijah to build 15 model airplanes. Since 1 x 15 = 15 model airplanes, you use proportions and also multiple the time by 15, so 30 x 15 = 450 minutes.

Answer:

450 Minutes or 7 hours 30 minutes

Step-by-step explanation:

Because the rate of Sets to minutes is 1:30 for every 1 he builds it take 30 minutes so 30 x 15 = 450 or 150 x 3 because every 5 sets there 150 minutes

Hope this helped :)

Parallel to the line y=-3x + 5 passes through (-4,5)

Answers

Answer:

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Step-by-step explanation:

Given equation of line is:

[tex]y = -3x+5[/tex]

General form of slope-intercept equation of line is:

[tex]y=mx+b[/tex]

Comparing both we get

m = -3

The slope of two parallel line sis equal.

Let m1 be the slope of line parallel to given line, then

m1 = -3

Putting in general form

[tex]y = -3x+b[/tex]

Putting (-4,5) in equation

[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]

Putting in the general form, we get

[tex]y = -3x-7[/tex]

Hence,

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

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