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

Evaluate: 19 - 3k] = 3

Answers

Answer:

k = [tex]5\frac{1}{3} ,7\frac{1}{3}[/tex]

Step-by-step explanation:

|19 - 3k| = 3

-3k = 3 - 19

-3k = -16

k = 16/3

k = 5 1/3

-19 + 3k = 3

3k = 3 + 19

3k = 22

k = 22/3

k = 7 1/3

There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 238.5 grams of this cereal

Answers

Answer: 147.87 calories

Step-by-step explanation:

Let the amount of calories in 238.5 grams of this cereal be represented by x.

Based on the information given, we can form an equation as:

110/177.4 = x/238.5

Cross multiply

177.4 × x = 238.5 × 110

x = (238.5 × 110) / 177.4

x = 147.87

Therefore, there are 147.87 calories in 238.5 grams of this cereal.

The location of four buildings on a coordinate grid are as follows:

Building 1 is at (−5, −3).

Building 2 is at ​ (−5, 5).

Building 3 is at (4, 5).

Building 4 is at (4, −3).

A bike courier begins at building 1 and then delivers packages to building 2, then building 3, and then building 4. Then she bikes back to building 1. The path between each building is a straight line. One unit on the coordinate grid equals 100 feet.

What is the total distance the courier biked?

Enter your answer in the box.

Answers

Answer:

3400 feet

Step-by-step explanation:

Distance between building 1 and building 2 = |5+3| = 8

Distance between building 2 and building 3 = |4+5| = 9

Distance between building 3 and building 4 = |-3-5| = 8

Distance between building 4 and building 1 = |4+5| = 9

total distance = 8 x 2 + 9 x 2 = 34

total distance in feet =  34 x 100 = 3400 feet

Answer: 3400 feet

Step-by-step explanation:

5
What is the area of the figure?
25 mi
12 mi
20 mi
18 mi
8 mi
43 mi
square miles.
Answer:

Answers

Answer: 644
(20x25)+(18x8)
(500) + (144)
=644

$9000.00 decreased by 0.5% is what?

Answers

Answer:

8955$

It got deleted because an idiot reported me.

A group of preschoolers has 8 boys and 24 girls, what is the ratio of boys to girls? ​

Answers

Answer:

1/3

Step-by-step explanation:

8

24

=

1

×

8

3

×

8

Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?

Answers

Answer:

470.81 or 470.815

Step-by-step explanation:

Lila collected rain water for three days. On the first day she collected 23 liter of rain water. The last two days yielded 14 liter each how much did lila collect in all

Answers

Answer:

47 liter 14+14+23

Step-by-step explanation:

14+14+23=47

Answer:

the awnsers 51

Step-by-step explanation:

you do (14x2)=28+23=51

what is -5 plus s/5 Les than of equal to 7?

Answers

Answer:

subtract 7 and then divide them

Find 5 Rational Numbers Between 1 and 2 using (a+b/2) where a=1 and b=2.

Answers

Answer:

There are two ways to find the rational number between any two numbers. I will tell you an easy method to find it.

As we have to find 5 rational numbers between 1 & 2

Take 5 and add 1 to it i.e. 5+1= 6

Now take the first number and multiply and divide it by 6 i.e.

1x6/6 = 6/6

Also take the second number and multiply and divide it by 6 i.e.

2x6/6= 12/6

This is done to convert 1 & 2 into rational number i.e. in form of p/q

Now we have two numbers 6/6 and 12/6 so five rational numbers between them are

7/6, 8/6, 9/6, 10/6, 11/6

The values of these number you can check will be between 1 & 2. Actually between any two number there are infinite number of rational numbers.

Use the distributive property to simplify this expression 4(-6z + 4)

Answers

Answer:

-24z+16

Good luck!

Please help link= report I’ll give you brainiest if correct worth 7 points

Answers

Answer:

D is the answer.

Step-by-step explanation:

D is basically telling us the y intercept.

A is wrong because the report is about Joyce classmates, not just herself.

B is weo g because it shows the x intercept not y intercept.

C is wrong because her amount of times is undefinable.

If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 4z + 3x - y

Answers

Answer:

the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them

The answer is 19

4(4) + 3(2) - 3

16 + 6 - 3

22 - 3

19

solve the system of equations x+y=6 and y+3x=4

Answers

Answer:  x=-1, y=7. 1st eqaution=-1+7=6, 2nd eqaution=7+-3=4

Evaluate the following: 77 - |( -8)(3) + (-10)(4)|

Answers

Answer:

13

Step-by-step explanation:

77−|(−8)(3)+(−10)(4)|

=77−|−24+(−10)(4)|

=77−|−24+−40|

=77−|−64|

=77−64

=13

Hope this helps

The answer is most likely 13

Find the area of a circle that has a diameter of 11 inches. Approximate r as 3.14. Round your answer to the nearest
hundredth.
חו
A=
in?

Answers

Answer:

94.985in^2

Step-by-step explanation:

Given data

Diameter= 11inches

Radius = 5.5 in i.e 11/2= 5.5inches

The  Area of a circle is given as

Area= πr^2

Substitute

Area= 3.14*5.5^2

Area= 3.14*30.25

Area= 94.985 in^2

Hence the area is 94.985in^2

The answer is 94.985in^2

rounded to neaarest hundreth 94.99in^2

A perfectly square cornfield has an area of 9 miles. Which of the following is true>
A, Each side of the field is 9 miles long
B, Each side of the field is 3 miles long
C Each side of the field is 2.25 miles long
D Each side of the field is 900 miles long

Answers

the answer would be B because the formula of area is length times width and three times three is nine

Answer:

The answer is b

Step-by-step explanation:

imagine needing help on a brain pop quiz

help mee !!!
The rectangular floor of a classroom is 36 feet in length and 32 feet in width. A scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing? Show all work

Answers

Answer:

72

Step-by-step explanation:divide 36 by 9 and find the ration is 4. Apply same ratio to the width and the result is 8; 32/4=8. Area of rectangle is length times width; 9x8=72 sq inches

The question says find the missing angles HELPP

Answers

Answer:

y: 71 degrees

z: 71 degrees

v: 71 degrees

x: 54.5 degrees

w: 54.5 degrees

Step-by-step explanation:

Ok, I might be wrong, please don't hate me!!!!

Since all triangles are 180 degrees, you can find all the measure while knowing only one angle measure.

To find y and z, you need to subtract 180 degrees by 38 degrees:

180 - 38 = 142

Since there are two angles, you need to divide the answer by 2.

142 / 2 = 71 degrees.

Since y and v are directly across from each other, they are the same measure (71 degrees).

With measures x and w, you do the same process of subtracting 180 by the value you know.

180 - 71 = 109

Then divide by 2.

109 / 2 = 54.5 degrees.

Can u help solve this step by step?

Answers

Answer:

[tex]\sqrt{28}[/tex]

Step-by-step explanation:

It is given that the triangle (QRS) is right, thus one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states,

[tex](a)^2+(b)^2=(c)^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle and (c) is the hypotenuse or the side opposite the right angle. The unknown side in the triangle is a leg, thus, let (b) represent this value. Substitute in the given values and solve,

[tex](6)^2+(b)^2=(8)^2\\\\36+b^2=64\\\\b^2=28\\\\b=\sqrt{28}[/tex]

A scientist uses 8.5 grams of carbon every 30 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?

Answers

Answer:

34

Step-by-step explanation:

SOMEONE PLEASE HELP ME WILL GIVE BRAINLY

Answers

Answer:

Let me get my homie on here to help you.

Step-by-step explanation:

The gas mileage of Car A is 21 miles per gallon. The gas mileage of Car B is 30 miles per gallon. Which of the following graphs would represent this data most accurately?

Answers

Answer:

Do you have the pictures? Otherwise I'm afraid I can't help you haha. Show me the pictures and I'll have you an explanation and answer :)

Step-by-step explanation:

When you exercise, your target heart rate r at 70% can be determined by the formula r = 0.7(220 − a) where a represents your age in years. Solve the formula for a.


PLEASE HELP

Answers


don’t use those links they’re scams

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

b

Step-by-step explanation:

first, group the terms with the same power together and it would become (-9n⁵-4n⁵)+(n³-9n³)+(11n+6n). then, combine the terms in each group together which would get -13n⁵-8n³+17n as the answer

Quadrilateral RUST has a vertex at R(2, 4).
T
U
S
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x + 4, y)?
A. (10,4)
B. (10, 12)
C. (10, 16)
D. (18,12)

Answers

Given:

The coordinate of point R in quadrilateral RUST are (2,4).

R is dilated by a scale factor of 3, centered at the origin, followed by the translation [tex](x, y)\to (x+4,y)[/tex].

To find:

The coordinates of R' after dilation and translation.

Solution:

If a figure is dilated by a scale factor of 3, centered at the origin, then

[tex](x,y)\to (3x,3y)[/tex]

We value R(2,4).

[tex]R(2,4)\to R_1(3(2),3(4))[/tex]

[tex]R(2,4)\to R_1(6,12)[/tex]

The rule of translation is:

[tex](x, y)\to (x+4,y)[/tex]

Using this rule, we get

[tex]R_1(6,12)\to R'(6+4,12)[/tex]

[tex]R_1(6,12)\to R'(10,12)[/tex]

Therefore, the coordinates of point R' are (10,12) and the correct option is B.

Can someone please help me

Answers

Answer:

Number 1: 1 2/4 or 1 1/2

Number 2: 2 4/6

Number 3: 5/6

Step-by-step explanation:

For Numbers 1 and 2... You'd have to separate the whole number from the fraction and subtract accordingly.

Number 1: 2-1=1 and 3/4-1/4=2/4

So you would get 1 2/4.

Number 2: 3-1=2 and 5/6-1/6=4/6  

You would get 2 4/6

For Number 3 you would have to find the LCD (Least common denominator) for 1/2 and 2/3.

The answer will then be 5/6.

(I couldn't solve number 4 because it wasn't visible.)

I hope I helped! Leave a rating and a Thanks below. :D

Need help with this question

Answers

Answer:

x = 2.3

Step-by-step explanation:

Since we know all three sides, what we do here is multiply side a & b's lengths together and divide by the hypotenuse. (a + b)/c

(2.5 * 6)/6.5

Step 1: Multiply 2.5 by 6 to get 15.

15/6.5

Step 2: Convert 6.5 into a whole number by multiplying it by 10. Make sure to do that to the 15 as well.

150/65

Step 3: 150/65 simplifies to 30/13 (GCF: 5).

30/13

Step 4: 30/13 becomes 2 4/13.

2 4/13

Step 5: 2 4/13 rounds to 2.3

2.3 is the value of x.


Find the length of CE
A. 17.8 units
B. 27.8 units
C. 37.8 units
D. 51.5 units

Answers

Answer:

B. 27.8 units

Step-by-step explanation:

Hope it Help

Choose the equation where b= 6 11-b=6 b+4=9 8xb=48 63/3=9

Answers

8b=48 because 8 divided by 48 is 6
Other Questions
(HALP ILL GIVE BRAINLY AND IS A MULTIPLE CHOICE) no links or I will report Lines 26 through 32 support the central idea that"As parents, coaches and policymakers, we must use what we know about head injuries and rethink how our youth can engage in sports safely. Some organizations and states are already working to reform the athletic programs in their schools and communities. Last year, Minnesota passed legislation aimed at reducing sports-related brain injuries in30 children by educating coaches, parents and young athletes about the symptoms and risks of head injuries. The new law also ensures students do not return to a sport before seeing a trained health professional."A. Progress is being made to make sports safer for kidsB. Resistance to changes in youth sports is being overcomeC. Children count on parents and coaches to keep them safeD. A lack of training in treating brain injuries has inspired legislation Kensington charges $20 per hour, h, teaching music lessons. Last year, Kensington earned $37,705, including tips, t. Given this information, which of the following equations can be usedthe amount Kensington made in tips last year?Of=37705 + 20hO t = 37705 - 20hOt=37705h + 20O = 37705h - 20 Please help! A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people. active to passive: the ball was thrown to the first baseman by trey Why is the Yellow River (Huang He River) sometimes referred to as "China's sorrow" in Chinese history? es ) A) It is the final resting place of the last emperor of the Shang dynasty. B) The Yellow River served as the border physical and political border between China and the Mongols up until 1200 C.E. C) The sporadic flooding of the river has killed millions of people over the course of Chinese history dating back to 1500 B.C.E. D) The river's water is polluted due to ancient Chinese cultural practices and therefore could not be used for farming or as clean drinking Three postal workers can sort a stack of mail in 15 minutes, 15 minutes, and 30 minutes, respectively. Find how long it takes them to sort the mail if all three work together.min G Complete the sentences using ideas of your own. Usewill or be going to.1 I think_______________.2 Be careful! That door__________.3 'Oh no! I've broken a glass.' 'Don't worry. I_____________.4 We've got plans for the weekend. We_______________.5 I promise______________.6 Tidy your bedroom now or |______________. Is AB tangent to circle C? What is the best estimate for the quotient of the problem below? Round your answer to the nearest whole number Can someone help on question 9 pleaseif you do answer please explain it if it isn't to hard . If we share 9 sandwiches with 10 students, how much of a sandwich does each student get? Explain using examples or drawings(Middle schoolMATH) FIRST TO AWNSER CORRECTLY GETS A BRAINLY AWARD! Define kinetic energy and thermal energy. Describe what happens to each as the temperature of a substances increases.dont copy off other answersno links please ECONOMICS After school today I can either go see a movie or take my car to the car wash. If I choose to see a movie, the opportunity cost involved is that I will have a great time!!True or False? GIVING BRAINLIEST!!!!!What adaptation of cactus helps it store water?A) Large leavesB) Red fruitC) Strong rootsD) Thick stem explain what S.A.L.T. was intended to accomplish What is the last step in the lawmaking process? The Senate has to approve it. The president has to sign it. The people have to vote on it. The legislature has to veto it. please help i will make you brainliest A water feature that could be a source of groundwater for humans is found at a location on a hillside where Earths surface is lower than the water table.What type of feature might be observed at this location?springaquiferartesian wellunsaturated zone Knives should be stored in cluttered drawers.True or false