If, while training for a marathon, you ran 76 miles in 2 2/3 months, how many miles did you run each month? (Assume you ran the same amount each month)

Answers

Answer 1

In 2 2/3 months you ran 76 miles.
To know how many miles you ran each month, you can simply use cross multiplication as follows:
number of miles per month= (76) / (2 2/3)
= 28.5 miles

Related Questions

In ABC, C is a right angle, what is the measure of x?

A. 22.4°
B. 67.6°
C. 20.9°
D. 69.1°

Answers

B is the right answer

Answer:

Option B. 67.6°

Step-by-step explanation:

In the given triangle ABC angle C is the right angle, side AB = 21 and side AC = 8.

We have to find the measurement of angle A.

Now from cosine rule we can write

[tex]CosA = \frac{Base}{hypotenuse}[/tex]

Here Base in the corresponding side of the angle A that is 8 and hypotenuse is 21.

Now we put the values

Cos x = 8/21 = 0.3809

[tex]x=cos^{-1}0.3809[/tex]

Or x = 67.61°

Therefore measurement of angle A or x = 67.6° is the answer.

Find the vertical, horizontal, and slant asymptotes, if any, for f(x)= 3x^3-28x^2+54x-24/x^2-8+7

Answers

the denominator factors to (x - 1)(x - 7) so there will be vertical asymptotes at x = 1 and x = 7
Long division gives a quotient of 3x - 4 so y = 3x - 4 is a slant asymptote

Vertical asymptote:

First, work out the domain of f(x).
The function is in form of algebraic fraction and it cannot be defined when the denominator is zero. The vertical asymptote is the same value of x that gives denominator = zero

[tex]x^2-8x+7 = 0[/tex] ⇒ Factorize
[tex](x-7)(x-1) = 0[/tex]
[tex]x-7=0[/tex] and [tex]x-1=0[/tex]
[tex]x=7[/tex] and [tex]x=1[/tex]

so, the vertical asymptote is at x = 1 and at x = 7
----------------------------------------------------------------------------------------------------------------

Horizontal asymptote:

The three rules to determine the horizontal asymptote
1) The polynomial degree of numerator SMALLER to the polynomial degree of denominator, the horizontal asymptote is at y = 0 (along the x-axis)
2) The polynomial degree of numerator HIGHER than the polynomial degree of denominator, there is no horizontal asymptote
3) The polynomial degree of numerator EQUAL to the degree of the denominator, divide the coefficient of the highest degree term.

We have numerator = 3x³ - 28x² + 54x - 24 [this is a polynomial of degree 3]
We have denominator = x^2-8x+7 [this is polynomial of degree 2]
The polynomial degree of numerator > polynomial degree of the denominator, so there is no horizontal asymptote.
----------------------------------------------------------------------------------------------------------------

Slant asymptote:

Divide the numerator by the denominator
[3x³-28x²+54x-24] ÷ [x²-8x+7]

Refer to the diagram below
We have the result of 3x - 4 with a remainder

So the slant asymptote is 3x - 4

The tangent of a 45 degree angle is _____.

1
0
1/2
-1

Answers

tan 45 = 1

your answer is 1

The answer is 1

reason to this being 1.. is 45 degrees is pi / 4
tan is composed of sin(x) over cos(x) which angels are sqrt 2 over 2
when you divide them by each other is the same as multiplying by their
reciprocals making the answer 1.

hope this helps and give brainliest, id appreciate it

Mrs.Carson pays Kristen $48 for babysitting 6 hours,and Mr.Vaquez pays her $67.50 for babysitting 9 hours,Who pays Kristin the better salary? Explain your answer

Answers

Mr Carson pays the better salary because 48/6 =$8 hrly

while $67.50 /9 hrs is only $7.50 hrly

Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupon gives him x percent off on a shirt. The second coupon gives him y percent off on the dress pants. The third coupon gives him z percent off on his total purchase. He cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Skylar's purchase after the coupons are applied. The variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?

Answers

the dress pants cost 40 bucks....the coupon for the dress pants is y percent off the dress pants...

so the part of the expression that represents the percent that skylar will pay for the dress pants is : (1-y)40

Answer: Hello there!

As we know, the dress pants cost a total of $40, and we also know that Skylar has a coupon of y percent in the dress pants and a coupon of z percent in the total purchase.

In this problem, the question is:

Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?

Ok, if we have a discount of y percent, (where y is represented as decimals) means that you are paying the total price of something ( the 100%) minus the the decimal y multiplied by the price of the object.

this is: $40 - y*$40 = (1 - y)*$40

then if the dress pants cost $40, and Skylar only uses the dress pants coupon, he will pay (1 - y)*$40 for the dress pants.

Shannon wants to buy cupcakes for her friend's birthday party. The bakery she goes to sells cupcakes for $3.50 each. The bakery also sells gift cards for $2.00, and Shannon decides to buy one card. If Shannon buys 10 cupcakes, how much money does she spend at the bakery?

Answers

So I think it would be $35 because if you multiply $3.50 by ten then it would be $35

ten times $3.50 is 35.00 plus $2.00 for one gift card, so the answer is $37.00

40 POINTS

Which ordered pair is a solution to the system of inequalities?

Check image below.

Answers

solve for the 2nd equation with the answers:

A. 1+3 =4 ( not less than 4)

B. 0+4 = 4 ( not less than 4)

C. -3 + 5 = 2 ( less than 4) & y is >-2

D. -2 +-3 = -5 ( less than 4) but -3 is <-2

so answer is C

Complete the data set with one value so that the mean of the data is 13.

10,14,8,16,12,____

Answers

(10 + 14 + 8 + 16 + 12 + x ) /6 = 13
(60 + x) / 6 = 13
60 + x = 13 * 6
60 + x = 78
x = 78 - 60
x = 18 <=====

The value of another number such that mean remains 13 is 18.

What is mean?

The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.

Mean = sum of data / Number of data

For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be

( 40 + 45+ 44 + 46 + 48) /5 = 44.6.

Let's say that number is x

Then,

Mean = (10 + 14 + 8 + 16 + 12 + x)/6

(60 + x)/6 = 13

x = 18

Hence "The value of another number such that mean remains 13 is 18".

For more about the mean,

https://brainly.com/question/17060266

#SPJ2

After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets and had a total of $700 profit. Which equation models the total profit, y, based on the number of tickets sold, x?
a. y – 300 = 4(x – 100)
b. y + 300 = 4(x + 100)
c. y + 300 = 2.5(x + 100)
d.y – 300 = 2.5(x – 100)

HELPPPPPPPPPPP

Answers

the answer to this problem is a. y-300=4(x-100)

Answer:

Option a : [tex]y-300 = 4(x - 100)[/tex]

Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find : Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .

⇒ ([tex]x_{1} ,y_{1}[/tex])=(100,300)

For 200 tickets he had $700 in profit .

⇒ ([tex]x_{2} ,y_{2}[/tex])=(200,700)

We will use point slope form i.e.

[tex]y-y_{1} = m(x - x_{1})[/tex] --(A)

Now, to calculate m we will use slope formula :

[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m = \frac{700 -300}{200-100}[/tex]

[tex]m =4[/tex]

Now, putting values in (A)

[tex]y-300 = 4(x - 100)[/tex]

Thus Option a is correct i.e. [tex]y-300 = 4(x - 100)[/tex]

the formula P=2I + 2w means that the perimeter of a rectangle is equal to twice the sum of its length and its width

Answers

what's the question?

Answer:

Step-by-step explanation: simple Answer I got

I=p-2w over 2

Eliminate the parameter. x = square root of t, y = 3t + 7

Answers

We have to eliminate the parameter ( t ):
x = √ t
Therefore t = x²
y = 3 t + 7
Answer:
y = 3 x² + 7

Answer:

y = x divided by three + 7

Step-by-step explanation:

Use the formula m = to calculate the slope of the line.
The slope of the line is .

Answers

The slope m of the line passing through points A(a, b) and B(c, d) is determined by the formula:

[tex]\displaystyle{m= \frac{d-b}{c-a} [/tex]

that is, the slope is the ratio of the difference of the y-coordinates, to the difference of the x-coordinates:

In our problem we have points A(-6, -8) and B(2, 8),

applying the formula for the slope, we have:

[tex]\displaystyle{m= \frac{d-b}{c-a} = \frac{8-(-8)}{2-(-6)}= \frac{16}{8}=2 [/tex]

Answer: 2

The slope of the line passing through the points is 2

How to find the slope of a line

The formula for calculating the slope of a line is expressed as:

m =y2-y1/x2-x1

Given the coordinate points expressed as(2, 8) and (-6, -8). Substitute the given values to have:

m =y2-y1/x2-x1

m =-8 -8/-6-2

M = -16/-8

M = 2

Hence the slope of the line passing through the points is 2

Learn more on slope here: https://brainly.com/question/3493733

What is R such that PR : RQ = 2/5
Express as a coordinate

Answers

From the figure (shown below), the coordinates of P and Q are
P (-2, -2)
Q (4, 8)

Let the point R (x, y) divide the line segment PQ in a 2:5 ratio.
ΔPAR ≈ ΔPBQ because of AAA.
Therefore
[tex] \frac{PA}{PB} = \frac{2a}{2a+5a} \\\\ \frac{x+2}{6}= \frac{2}{7} \\\\7x+14=12 \\\\ 7x=-2 \\\\ x=- \frac{2}{7} [/tex]

Also,
[tex] \frac{AR}{BQ}= \frac{2}{7} \\\\ \frac{y+2}{10} = \frac{2}{7} \\\\ 7y+14=20 \\\\ 7y = 6 \\\\ y = \frac{6}{7} [/tex]

Answer:
R has the coordinates (-2/7, 6/7) or (-0.2857, 0.8571)

Answer this question please!

Answers

Plug 7/50 into your calculator to get 0.14. The answer is C.

The answer is C. When you divide the top number by the
Bottom number you get 0.14.

ok guys so i had trouble on this algrebra question for a while if you can help me out thxs so much: Jenny had 2 apples if she added two more how many would she have altogether. Im stuck plz help

Answers

Hello there!

She had 2 Apples
If she added 2 more
What does 2 + 2 equal? It equals to 4

Same thing here,

2 apples that she had + 2 apples that she added = 4 apples

Thus,
She will have 4 apples.

I hope I helped~

A storeowner places a “No Smoking” sign in front of their store. This would be classified as a type of what factor.

Answers

The "No Smoking" sign would be classified as a health protective factor.

This is because it mainly aims at preventing possible diseases that can occur to those who are smoking as well as those who are inhaling the gases produced in the air from smokers.
This sign encourages active smokers to put off their cigarettes and throw them away and it protects the non-smokers from being subjected to the smoke produced from smokers. By this, it reduces the risk of cancer.

Answer:

external pressure

Explanation:

This is the full question:

A sign in front of a store says "No Smoking.” What kind of factor is this sign?

external pressure

internal pressure

media influence

peer pressure

Reduce to simplest form.

3 6/2 × 2 4/5

2 5/6 × 2 7/9

2 2/5 × 4 3/4

1/2 × 3

19/20 × 14

3/8 ×21

3/8 ×12

Answers

convert 3 6/2 to an improper fraction so: 12/2
convert 2 4/5 to 14/5
multiply the numerators of the improper fractions so 12*14, which is 168.
multiple the denominators so 2*5, which is 10.
the new fraction is 168/10, so you divide 168 divided by 10, which is 16.8, or 16 4/5.

If p: It is not cold. What is ~ p?
it is cold
it is mildly cold
it depends
none of the above

Answers

The ~ (which is called a "tilde") symbol means to negate the proposition.

So, the answer is "it is cold".

Answer:

"it is cold"

Step-by-step explanation:

How many terms are in the expression shown below?
a2 - ab + 8b + b2 - 1

2

3

4

5

Answers

In Mathematic, one term is a number, leter or both separated by '+' or '-'

The expression have five terms.

Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value. 1,645.6 = _____

Answers

1.6456 x 10^3 that is the answer

One number is 4 more than 3 times another. Four times the larger decreased by 5 times the smaller is equal to the smaller subtracted from 32. Find the numbers

Answers

Look at the pic I added. This is what you need.

How do you solve this equation?

5 (x+2) = 7 (4 - x)

Answers

Distribute on both sides
5x+10=28-7x

Add 7x to both sides
12x+10=28

Subtract 10 from both sides
12x=18

Divide both sides by 12
x=18/12
x=3/2

Final answer: x=3/2

One moving company charges $800 plus $16 per hour. another moving company charges $720 plus $21 per hour. at what number of hours will the charge be the same and what is the charge?

Answers

Hour 16; $1056
Hope this helps :)

i need to know 725 miles in 8 hours miles per hour

Answers

divide total miles by time

725/8 = 90.625 miles per hour

observation often starts the scientific process observation is useful because it helps scientist_____
a) form questions
b) develop opinions
c) summarize data
d) write laws

Answers

The answer is a) form questions because the scientist must first have a question or problem to solve for him to conduct the scientific process

4x -y =1
I need to get the variable y by its self.

Answers

4x - y = 1

Simply subtract 4x from both sides.

-y = -4x + 1

Then, divide both sides by -1, so that y turns into a positive.

y = 4x - 1

~Hope I helped!~

I really need help with #4

Answers

The mean is 65 and the median is 15

Find all the real zeros of x3-2x2-5x+6=0.

Answers

(×-1)(×-3)(×+2)
×=1
×=3
×=-2

×1=-2
×2=1
×3=3

Solve the inequality.
-x/4 ≤ 2

Answers

Multiply both sides by 4, making it
-x<8
Switch the signs as you make 8 negative and x positive
x>-8
(Make sure to make the signs greater and less than or equal to

the answer is is is x ≥ -8

what is the intersection of plane stxw and plane stv

Answers

Line st would be your answer

Other Questions

The sum of the digits of a two-digit number is 6. when the digits are reversed, the number decreased by 18. find the original number. Which was not a feature of the new state governments?broad legislative powerstight control over taxationunlimited governmental powersqualifications for office-holders and voter? Fat harry got on the scale at 7:00a.m. and weighed 295 pounds. at 7:02a.m. he again got on the scale and weighed 200 pounds. at 7:04 he weighed 499 pounds. the measurement of harry's weight has problems with The pie below is cut into 6 equal slices. Show shade 2/3 of this pie. One brain area in which neurogenesis is especially apparent is the: A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day. Those firms that are categorized as successful tend to pay employees well, train employees, and reduce status differences. a. True b. False Which of the following is NOT an example of a nonrenewable resource?A. Solar energy B. Natural gasC. CopperD. Oil 9.) Name and describe two examples of asexual reproduction in many-celled organisms. Based on your observations, you suggest that the presence of water could accelerate the growth of bread mold. This is A.a conclusion. B.a hypothesis. C.an experiment. D.an analysis. Do you believe economic principles like competition apply in both private and public organizations? be prepared to defend your answer. What did the mesopotamians believe was the relationship between gods and mortals? Which of these words best describe the appearance of the prisoners? Check all that apply.-hungry-content-ill-treated-exhausted-relaxed how did Theodore Roosevelt earn the congressional medal of honor The measures of three sides of a triangle can be represented by 2x, 3x and -5, and 4x + 2. The perimeter of the triangle is 65 inches. a) give an equation to represent this situation.b) solve for xc) What are the three lengths of a triangle? A group of 5 friends are sharing 2 pounds of trail mix . Write a division problem and a fraction to represent this situation A lily plant on a pond is an example of which food chain level? A. primary consumer B. decomposer C. producer D. 3rd tier consumer When a large group is asked to complete a task, individual members often neglect their responsibilities, because it is impossible for any one person to receive credit or blame. this phenomenon is called? Do you think Brown v. Board of Education (1954) served its purpose of societal desegregation well? Or, do you think that that lack of legal justification in the decision created a more litigious environment for civil rights law suits? Think about and justify your position. Do Americans change their positions just because the Supreme Court rules a certain way? What negative externalities does public policy, particularly judicial policy create? how does the rain shadow effect climate in iran and turkey? Steam Workshop Downloader