4. Each morning you do a combination of aerobics, which burns about 12 calories per

minute, and stretching, which burns about 4 calories per minute. Your goal is to burn

416 calories during a 60-minute workout. How long should you spend on each type of

exercise to burn the 416 calories?

Answers

Answer 1

22 minutes is spent doing aerobics and 38 minutes doing stretching

Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.

Since the goal is to do a 60-minute workout, hence:

x + y = 60     (1)

Also, 416 calories needs to be burnt hence:

12x + 4y = 416    (2)

We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:

8x = 176

x = 22 minutes

Put x = 22 in (1)

22 + y = 60

y = 38 minutes

Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.

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Related Questions

PLEASE HELP!! THIS COUNTS FOR 18 PERCENT OF MY GRADE!!!!

Answers

Answer:

question is blurry plz ss it carefully

find three consecutive integers whose sum of the first and the third is -88

Answers

Answer:

Step-by-step explanation:

{-43; -44; -45}

-43+(-45)=-88

Help me answer this fast please!

Answers

Answer:

y=x+2

Step-by-step explanation:

Identify the initial condition and the rate of change

a = b − 21

Answers

In the given expression :

a = b - 21

rate of change = 1

Initial condition = - 21

Answer:

Option B

Step-by-step explanation:

Given relationship:

a = b - 21

It could be shown as:

a = 1*b + (-21)

The rate of change is 1 and the initial condition is -21.

Correct choice is B

The ratio of the length of a rectangle to the width of the rectangle is 3 inches to 2 inches. What is the length of the rectangle if the width is 4 inches?

Answers

Answer:

6 in

Step-by-step explanation:

2/3 = 4/x

(4*3)/2

what is 1/3x+10=3/4x+5

Answers

Answer:

x=12

Step-by-step explanation:

Just use some algebra to collect the like terms from each side

Answer:

x = 12

Step-by-step explanation:

1/3x+10=3/4x+5

make 1/3 & 3/4 have the same denominator

4/12 & 9/12

4/12x+10=9/12x+5

-4/12x+10=9/12x-5

5 = 5/12x

60 = 5x

12 = x

Plz help it’s due tonight!!!

Answers

sorry

Step-by-step explanation:

PLEASE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP

Answers

Answer: 116.16675

Step-by-step explanation:

hope this helps:)

if a= 2, b= -3 and c= 4 evaluate ab-bc ​

Answers

Answer:

ab - bc = 6

Step-by-step explanation:

COMPUTATION:

ab - bc = ?

(2 x -3) - (-3 x 4) = ?

(-6) - (-3 x 4) = ?

(-6) - (-12) = ?

-6 + 12 = 6

Hope this helps!

1/2x-1/4y=10
1/8x-1/8y=19
which ordered pair (x,y) satisfies the system of equations above
a) (-122,264)
b) (64,88)
c) (232/3, 224/3)
d) (288,536)

Answers

Answer: (-112,-264)

Step-by-step explanation:

Pls Help!! (ILL GIVE BRAINLIEST)

Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(4, 0), Q(0, â’4), and R(â’8, â’4). Triangle P′Q′R′ has vertices P′(1, 0), Q′(0, â’1), and R′(â’2, â’1).


Plot triangles PQR and P′Q′R′ on your own coordinate grid.


Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer.


Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis.


Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer.

Answers

Answer:

your mom lol sooooooooooooo

The sum of three numbers is 66. The second number is twice the first and six less than the third. find the numbers

Answers

Step-by-step explanation:

let the 1st number be x

and,

2nd number = 2x

3rd number = 2x + 6

their sum = 66

so, after inserting the values we got

x + 2x + 2x + 6 = 66

5x + 6 = 66

5x = 66 - 6 = 60

x = 60/5 = 12

x = 12

therefore,

1st number = x = 12

2nd number = 2x = 12 × 2 = 24

3rd number = 2x + 6 = 24 + 6 = 30

hope this answer helps you dear...take care and may u have a great day ahead!

Rise over run please?????????

Answers

Answer:

1/3

Step-by-step explanation:

up 1 right 3

M= rise/run M= 1/3


Rise 1 run 3

factorise:
a) 32x⁴-8y²​

Answers

Answer:

8(2x² - y)(2x² + y)

Step-by-step explanation:

32[tex]x^{4}[/tex] - 8y² ← factor out 8 from each term

= 8(4[tex]x^{4}[/tex] - y²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

4[tex]x^{4}[/tex] - y²

= [tex](2x^2)^{2}[/tex] - y²

= (2x² - y)(2x² + y)

Thus

32[tex]x^{4}[/tex] - 8y² = 8(2x² - y)(2x² + y)

Kwami had two large sheets of paper. He cut each piece of paper in half, then he cut the smaller pieces of paper in half two more times.

Answers

Answer:

14

Step-by-step explanation:

Find the value of x using the figure to the right.

Answers

Answer:

yes it may be 3

Step-by-step explanation:

0.0133 rounded to the nearest tenth

Answers

Answer:

0.0130

Step-by-step explanation:

tenths are the second if you read to the left

Answer:

0

Step-by-step explanation:

looking at the hundreths which is one. one is less then 5 so its not rounding up.

3 3/4 divided by 2 1/12 in simplest form

Answers

Answer: the final answer is 1 4/5 or 9/5

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

3 3/4 turns into 15/4 and 2 1/12 turns into 25/12

Second: then flip the 2nd fraction so it becomes 12/25

now multiply straight across: 15/4 x 12/25

15 x 12=180

4 x 25=100

180/100= 9/5= 1 1/4

Simplest form of quotient of given fractions is 9/5.

The given fractions are [tex]3\frac{3}{4}[/tex] and [tex]2\frac{1}{12}[/tex].

How to divide two fractions?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

[tex]3\frac{3}{4}[/tex] can be written as [tex]\frac{15}{4}[/tex] and [tex]2\frac{1}{12}[/tex] can be written as [tex]\frac{25}{12}[/tex].

Keep 15/4 and change division sign to multiplication sign and reverse the fraction 25/12 as 12/25.

That is , [tex]\frac{15}{4} \div \frac{25}{12} = \frac{15}{4} \times \frac{12}{25}[/tex]

[tex]=\frac{3}{1} \times \frac{3}{5} =\frac{9}{5}[/tex]

So, quotient = 9/5

Therefore, simplest form of quotient of given fractions is 9/5.

To learn more about the fractions visit:

https://brainly.com/question/10708469.

#SPJ2

Paul has three​ cube-shaped boxes. Each box is a different size and they are stacked from the largest to the smallest. Some information about the boxes is given below. Answer questions 15 below.

The combined volume of the three boxes is​ 1,197 cubic inches.

The area of one face of the medium box is 49 square inches.

The volume of the smallest box is 218 cubic inches less than the volume of the medium box.

1. What is the volume of the medium​ box? Explain.

The edge length of the medium box is

â–Ľ

StartFraction StartRoot 49 EndRoot Over 2 EndFraction comma

StartRoot 49 EndRoot comma

RootIndex 3 StartRoot 49 EndRoot comma

StartFraction 49 Over 2 EndFraction comma

which equals

nothing. The volume of the box is the edge length

â–Ľ

squared,

doubled,

tripled,

cubed,

which equals

nothing

â–Ľ

cubic inch(es).

inch(es).

square inch(es).

Answers

Answer:

Medium box: 343 in^3

Large box: 636 in^3

Step-by-step explanation:

- Volume small box = 218 in^3

- Area face medium box = 49 in^2. (7x7=49)

Volume medium box = 7^3 = 343 in3

- Combine volume of the 3 boxes = 1,197 in^3

- Volume large box = 1,197 - 218 - 343 = 636 in^3



given: c is parallel to d and a is parallel to b
prove angle 1 and angle 4 are supplementary

Answers

2 and 3 are supplementary
Property of adjacent interior angles

1 congruent to 2
Property of vertical angles

3 congruent to 4
Property of alternate interior angles

1 and 4 are supplementary
Transitive property

Look at the angle. Which description is true

Answers

This angle is greater than 90 degrees

Answer:

The angle is greater than 90 degrees, which is also known as an obtuse angle.

4. Susannah is drawing a card from a standard 52-card deck. A standard deck of cards

contains four suits -- diamond, club, spade & heart. Each suit has 13 cards. Face cards (12)

are Jack, Queen, and King cards.

a. What is the probability that the card she draws is a diamond?

b. What is the probability that the card she draws is a face card?

c. What is the probability that the card she draws is a face card and a diamond?

d. What is the probability that the card she draws is a face card or a diamond?

Answers

Answer:

1/4(25%), 3/13(23%), 3/52(6%), 11/26(42%)

Step-by-step explanation:

a. 4 suits, therefore the probability is 1/4

b. there are 12 face cards. therefore the probability is 12/52 which simplifies to 3/13

c. there are only 3 cards that are diamonds and face cards. Therefore, it is 3/52

d. there are 12 face cards and 13 cards of each suit. But there are 3 that overlap. therefore, there are 22 in total, so 22/52. it simplifies to 11/26.

11. Find the value of r so that the polygons have the same per
X+4
x + 5
x + 3
X-2
X+4
(Just solve 11. Pleaaase!)

Answers

Answer: i

Step-by-step explanation: dk

I dont know this no links though

Answers

Answer:

ok do the sqare root of 54 and 24 round to the nearest tenth then multiply the 54 by 3 and the 24 by 4 then subtract them too

Step-by-step explanation:

The table shows the production results for three factories. How many cars are manufactured at the fastest factory in one year?

12,000
13,500
16,200
22,000

Answers

Answer:

16,200

Step-by-step explanation:

harry and his 3 friends decided to order pizza, and the cost was $42.24. How much money will each have to pay?

Answers

Answer:

$10.54

Step-by-step explanation:

42.24 divided by 4

Which are the coordinates of Jefferson High School's Parking Lot B?
(-4, 3)
(-4,-3)
(-3,-4)
(-3, 4)

Answers

Answer:

(-3,4)

Step-by-step explanation:

the point is on -3 on the x-axis and 4 on the y-axis

Answer:(-3,4)

Step-by-step explanation:took the test and got right

Order these numbers from least to greatest . 9 2/5, 167/20, 8.406, 8.49

Answers

Answer:   0.04, 0.2, 1/2, 3/4, 5, 73

Step-by-step explanation:

Observe the two stars below. How are they different?

a red dwarf star that is small in size and very dim.a yellow dwarf that is medium in size and dim.

The red dwarf is larger than the yellow dwarf.
The red dwarf is dimmer than the yellow dwarf.
The red dwarf is brighter than the yellow dwarf.
The red dwarf is made of more gas than the yellow dwarf.

Answers

Answer:

b The red dwarf is dimmer than yellow dwarf

Answer:

A red dwarf is a small, cool, very faint, main sequence star whose surface temperature is under about 4,000 K. Red dwarfs are the most common type of star.

Step-by-step explanation:

The students in Hunter's grade voted to select a guest speaker. 60 students voted for a famous athlete. If there are 75 students in Hunter's grade, what percentage of the students voted for the athlete?

Answers

Answer:

80%

Step-by-step explanation:

60/75 = 4/5 = 80%

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