Carl is on the school track team. To prepare for an upcoming race, he plans to run 217 miles total over the next 31 days. Write an equation to determine how many miles, m, he needs to run per day, assuming he runs the same amount each day. How many miles does Carl need to run each day?​

Answers

Answer 1

Answer:

He needs to run 7 miles per day. 217/31 = 7m

Step-by-step explanation:


Related Questions

What is the amplitude of the function?

Answers

Answer:

Step-by-step explanation:

The amplitude is half of the range.

a=(maximum-minimum)/2, in this case

a=(2-(-4))/2

a=6/2

a=3

I had to raise the number to49 pls help

Answers

Ummm what is there to answer it’s black
i’m not sure what you meant because the photo is black, but if you mean like rounded it would round to 50? is that what you meant?

Kenneth is painting his kitchen and bathroom. He bought 5 gallons of paint to paint the two rooms. He uses 1/4 of that amount to paint the bathroom and the rest to paint the kitchen.

Answers

Answer:

He used 1.25 gallons for the bathroom, and he used 3.75 gallons for the kitchen.

Step-by-step explanation:

1/4=25%=.25

Multiply 5 by .25

5*.25=1.25

Subtract 1.25 from 5

5-1.25=3.75

1.25 gallons for bathroom

3.75 gallons for kitchen

Hopefully this was helpful.

Help me with this, please!

Answers

Answer:

....

Step-by-step explanation:

The answer is a, yes yes

.....

Step-by-step explanation:

The answer is A yes. yes

A manufacturing company with 350 employees is changing the employee health insurance plan to either plan A or plan B. The company wants to know if employees have a preference between the two plans and whether or not preference differs between those employees who have family members covered under the current plan (group 1) and those who do not (group 2). The human resources office takes a simple random sample from each of the two groups, sends information about both plans to the employees in each sample, and asks them whether they prefer plan A or plan B. The table summarizes the responses received, with expected cell counts in parentheses.

Plan A Plan B Total
Yes (group 1) 40 (32.5) 20 (27.5) 60
No (group 2) 6 (13.5) 19 (11.5) 25
Total 46 39 85

Which statement is true about whether the conditions for the chi-square test for homogeneity have been met?
a. A simple random sample should have been taken from all the employees, and then each employee in the sample should have been asked their plan preference and whether or not they have family members covered under the current health insurance plan.
b. The expected cell counts are not large enough to apply the chi-square test for homogeneity.
c. The total sample size is not large enough to apply the chi-square test for homogeneity.
d. The total sample size is too large to apply the chi-square test for homogeneity.
e. All conditions necessary to apply the chi-square test for homogeneity are satisfied here.

Answers

Answer: D. The total sample size is too large to apply the chi-square test for homogeneity.

Step-by-step explanation: When sampling without replacement, the sample size should not exceed 10 percent of the population size. Here, the sample size of 85 is just over 24 percent of the population of 350 company employees.

The total sample size is too large to apply the chi-square test for homogeneity.

We have given that,

A manufacturing company with 350 employees is  changing the employee health insurance plan to either plan A or plan B.

                         Plan A        Plan B        Total

yes(group 1)       40(32.5)   20(27.5)      60

No (group 2)      6 (13.5)     (11.5) 25       25

Total                   46             39              85

We have to find which statement is true,

What is sampling without replacement?

Each sample unit of the population has only one chance to be selected in the sample. we can select one sample only way and after selection we cannot pot this sample in the sample space again.

The sample size should not exceed 10 percent of the population size.when we use sampling  without replacement,

Here, the sample size of 85 is just over 25 percent of the population of 350 company employees.

Therefore,the total sample size is too large to apply the chi-square test for homogeneity.

To learn more about the sample space replacement and without replacement visit:

https://brainly.com/question/17042101

PLEASE HELP
Which element should you not include in a summary for a book review?


a brief description of setting


the story's ending


explanation of theme


how the main conflict is resolved

Answers

the story’s ending :) please do not follow any links

A scale drawing of a rectangle painting is 12 inches long and 8 inches tall. The actual painting is 12 feet tall. What is the scale of the drawing? What is the perimeter of the actual painting? What is the area of the actual painting?

Answers

Answer:

x = 18

Step-by-step explanation:

[tex]\frac{8}{12} = \frac{12}{x}[/tex]

then cross-multiply

8x = 12 * 12

8x = 144

[tex]\frac{8x}{8} = \frac{144}{8}[/tex]

x = 18


What is the resulting integral?

Answers

Answer:

[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx = \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Exponential Rule [Root Rewrite]:                                                                   [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]:                                                                            [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Antiderivatives - Integrals

Integration Constant C

U-Substitution

U-Solve

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx[/tex]

Step 2: Identify Variables

Find the variables u-solve using u-substitution.

U-Substitution

[tex]\displaystyle u = 1 + \sqrt{x}[/tex]

[tex]\displaystyle du = \frac{1}{2\sqrt{x}}dx[/tex]

U-Solve

[tex]\displaystyle x = (u - 1)^2[/tex]

[tex]\displaystyle dx = 2\sqrt{x}du[/tex]

Step 3: Integration

[Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{x})^5}} \, dx[/tex][Integral] U-Solve:                                                                                         [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{(u - 1)^2})^5}} \, 2\sqrt{x}du[/tex][Integral] Simplify:                                                                                         [tex]\displaystyle 2\int {\frac{2\sqrt{x}}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle 4\int {\frac{\sqrt{x}}{u^5}} \, du[/tex][Integral] U-Solve:                                                                                         [tex]\displaystyle 4\int {\frac{\sqrt{(u - 1)^2}}{u^5}} \, du[/tex][Integral] Simplify:                                                                                         [tex]\displaystyle 4\int {\frac{u - 1}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Subtraction]:                               [tex]\displaystyle 4[\int {\frac{u}{u^5}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Simplify:                                                                                       [tex]\displaystyle 4[\int {\frac{1}{u^4}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Rewrite [Exponential Rule - Rewrite]:                                         [tex]\displaystyle 4[\int {u^{-4}} \, du - \int {u^{-5}} \, du][/tex][Integrals] Reverse Power Rule:                                                                   [tex]\displaystyle 4[\frac{u^{-3}}{-3} - \frac{u^{-4}}{-4}] + C[/tex]Rewrite [Exponential Rule - Rewrite]:                                                           [tex]\displaystyle 4[\frac{-1}{3u^3} + \frac{1}{4u^4}] + C[/tex][Brackets] Multiply:                                                                                       [tex]\displaystyle \frac{-4}{3u^3} + \frac{4}{4u^4} + C[/tex]Back-Substitute:                                                                                             [tex]\displaystyle \frac{-4}{3(1 + \sqrt{x})^3} + \frac{4}{4(1 + \sqrt{x})^4} + C[/tex]Combine:                                                                                                       [tex]\displaystyle \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

Can someone help me please??

Answers

add all the sides together
10+15+7+8+8+2=50 ft

Answer:

the perimeter is just the distance around the shape so 7+10+15+8+8+2=50

What fraction of the catapults flung a marshmallow 30 inches or less?

Answers

Answer:

1/4

Step-by-step explanation:

Each whisker represents 1/4 of data

Use the expression 7.6s+(45÷9)−15 to answer 9–10.
9.
Which part of the expression represents a​ quotient? Describe its parts.
10.
Which part of the expression represents a product of two​ factors? Describe its parts.
9. The part of the expression that represents a quotient is
10. The part of the expression that represents a product of two factors is

Answers

Answer:

45 ÷ 9, 7.6s

Step-by-step explanation:

9) A quotient is a result of dividing a quantity by another quantity. We see that 45 ÷ 9 is a form of division. We could say that 45 is divided into 9 parts. 45 ÷ 9  can also be written in fractional form: [tex]\frac{45}{9}[/tex]. Lastly, we see that the quotient would be 5.

10) A product is a result of multiplying a quantity by another quantity. We see that 7.6s is a simplified form of multiplication that actually represents 7.6 × s.

7.6 is a known numerical value. It is the coefficient of the variable x, which we do not know the value for.

The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60,000, his monthly income is The variable x represents in the inverse function. If John's spending limit is​

Answers

1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000

dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation

427 diveided by 3 do you have any aneswerers

Answers

Answer:

142.333....

Step-by-step explanation: just use a calculator

Answer:

142.34

Step-by-step explanation:

427 ÷ 3 = 142.34

good luck, i hope this helps :)

A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (T). Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the third toss is heads. Use the format to mean that the first toss is heads, the second is tails, and the third is heads. If there is more than one element in the set, separate them with commas.

Answers

Answer:

Sample space:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Third toss is heads:

{HHT, HTT, THT, TTT}

First toss is heads, second tails and third heads:

{HTH}

Explanation:

In order to find the sample space we need to write all the possible outcomes from tossing the coin three times.You can start by writting all the possible outcomes for the first toss being a head and finish with all the possible outcomes for the first toss being Tails. The number of elements in the sample space can be found by multiplying the possible outcomes of each toss together, so 2*2*2=8

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For the third toss being heads we will have one restriction this time. Which is that the third toss is Tails. You can take the elements from the sample space where the third element is a tails. In this case, the number of elements can be calculated by multiplying the possible outcomes for only the first two tosses 2*2=4

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For first toss is heads, second tails and third heads there is only one possible way for you to get this outcome so there is only one element to this set.

{HTH}

HELP NEEDED QUICK WILL GIVE BRAINLY
Question 3 (02.03)

Figure EFGH is reflected about the y-axis to obtain figure E’F’G’H’:



Which statement best describes the relationship between the two figures?


1.Figure EFGH is congruent to figure E’F’G’H’.

2.Figure EFGH is bigger than figure E’F’G’H’.

3.The measure of angle H is equal to the measure of angle E’.

4.The measure of angle H is equal to the measure of angle G’.

Answers

Answer:

1

Step-by-step explanation:

Figure EFGH is congruent to figure E'F'G'H'

Answer pleaseeeeeeee

Answers

0.8 is the greatest and 1/9 is the least

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=-5/2x-1
O y= -5/2x+ 5
O y=2/5x-1
O y=2/5x+5

Answers

Answer:

[tex]y = -\frac{5}{2}x-1[/tex]

Step-by-step explanation:

5x + 2y = 12

2y = -5x + 12

[tex]y = -\frac{5}{2}x +6[/tex]

Parallel lines have the same slope so the -5/2 remains. Just remove the b value (6) and plug in (-2,4) to the x and y spots.

[tex](4) = -\frac{5}{2}(-2) + b[/tex]

4 = 5 + b

b = -1

The new equation is [tex]y = -\frac{5}{2}x-1[/tex]

Lines that are not in the same plane are called lines O A. transversal O B. parallel O c. skew O D. perpendicular​

Answers

Answer:

your answer is C.

Lines that are not coplanar and do not intersect are called skew lines.

and incase you need this answer too, Parallel Planes. Two planes that do not intersect are called parallel planes.

Dean Webber purchased 4 smoothies for $19.60. At this price, what is the cost per smoothie?

Answers

divide four by 19.60
4.9 is the cost per smoothie

Answer:

$ 4.90 per smoothie

Step-by-step explanation:

The total cost of all of the 4 smoothies is $19.60. So, to find the answer you need to divide 19.60 with 4 and you'll get 4.9 or as dollars $4.90.

A snack recipe calls for 1 cup of sunflower seeds. The recipe makes 6 cups of the snack.
Joshua wants to make 24 cups of the snack to bring on a camping trip.
How many cups of sunflower seeds will Joshua need?

Answers

Answer:

4

Step-by-step explanation:

Bc if you want 24 servings but it serves 6 you have to multiply it by 4 do it's 1*4 =4 because 6*4 =24

Answer:

4/14 as a fraction

Step-by-step explanation:

i did the test

Evaluate √−6x^2 + 4x when x = −6

Answers

Answer:

− 24 + 6 i √ 6

Step-by-step explanation:

Solve for x
70°
*
20
triangles

Answers

Answer:

x = 90°

Step-by-step explanation:

a triangles angles are equal to 180°

so if we have one that is 70° and one that is 20° what s x?

70° + 20° = 90°

180° - 90° = 90°

x = 90°

Simplify. (−1+2i)(3−5i)

Choices
7+i
−3+i
7+11i
−13+11i

Answers

Answer:

The answer is 7 + 11i

Step-by-step explanation:

what is x .................

Answers

Answer:

x=95

Step-by-step explanation:

What is the area of the figure?
O 11 square units
O 18 square units
24 square units
32 square units

Answers

Answer:

18

Step-by-step explanation:

Answer:

yes 18 is correct

Step-by-step explanation:

2(T+1)=10 what does t equals ?​

Answers

2(T+1)=10
2t+2=10
move 2 to the other side , making it negative
2t=10-2
2t=8
divide both sides by 2
t=4
2(T+1)=10
2T+2=10
2T=10
T=5

Pls Answer correctly and I’ll give you the brainliest

Answers

Answer:  x=7

Step-by-step explanation:  

plug y into equation...

x-(-4x+23)=12

solve...

x+-1(-4x+23)=12

x+-1(-4x)+-1(23)=12

x+4x-23=12

5x-23=12

5x=35

x=7

Which of the following statements are true? Select all that apply.
63=3*3*3*3*3*3
025=2x5
45=4*4x4x4x4x4
03=3*3*3*3
023=4*4*4
52=5*5

Answers

Answer:

a

Step-by-step explanation:

Which net can be folded to form a triangular pyramid?

Answers

The net that can be folded to form a triangular pyramid is net b

How to determine the net that can be folded

From the question, we have the following parameters that can be used in our computation:

The nets in the list of options

As a general rule, a triangular pyramid has 4 triangles such that

Three triangles are adjacent and one triangle is at the top or at the bottom

using the above as a guide, we have the following:

The net that can be folded to form a triangular pyramid is net b

Read more about triangular pyramid at

https://brainly.com/question/16205402

#SPJ1

Choose all values of a that make the following equation true: 3/4 = a/36.
A.23
B.27
C.22
D.108/4

Answers

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The equation can be solved by multiplying by 36.

  3/4 = a/36

  a = 36(3/4) = 108/4 = 27

The listed values that make the equation true are 27 and 108/4.

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