4. Which situation could be represented by the equation 10.75 = 5.5 n?


Ricardo ran 5.5 miles.


He ran each mile in 10.75 minutes.


What is n, the total number of minutes it took Ricardo to run 5.5


miles?


Ricardo ran a totalof 10.75 miles on Monday.


He ran 5.5 miles in the morning and the rest of the miles in the


evening.


What is n, the number of miles Ricardo ran in the evening?


Ricardo ran a total of 10.75 miles.


He ran 5.5 miles each hour.


What is n, the number of hours Ricardo ran?


Ricardo ran 10.75 hours one week and 5.5 hours the next week.


What is n, the total number of hours Ricardo ran during these


weeks?

Answers

Answer 1

Answer:

Ricardo ran a total of 10.75 miles on Monday.

[tex]n =1.95[/tex]

Step-by-step explanation:

Given

[tex]10.75 = 5.5n[/tex]

Required

Which situation represents the equation and solve for n

The options show the relationship between distance, time and speed.

This is calculated as:

[tex]Distance = Speed * Time[/tex]

By comparison:

[tex]Distance = 10.75[/tex]

[tex]Speed = 5.5[/tex]

[tex]Time = n[/tex]

So, we can say that:

He ran 10.75 miles (option D)

Solving for n:

Make n the subject in [tex]10.75 = 5.5n[/tex]

[tex]\frac{10.75}{5.5} = n[/tex]

[tex]n = \frac{10.75}{5.5}[/tex]

[tex]n =1.95[/tex]


Related Questions

Put the expressions in order from least to greatest value

Answers

Answer:

Least: [tex]\sqrt[6]{64}[/tex]

2nd least: ([tex]\sqrt{64}[/tex])²

2nd greatest:  [tex]\sqrt{81}[/tex] · [tex]\sqrt{81}[/tex]

Greatest:  1/64^-2

Step-by-step explanation:

[tex]\sqrt[6]{64}[/tex] = 2

([tex]\sqrt{64}[/tex])² = 64

[tex]\sqrt{81}[/tex] · [tex]\sqrt{81}[/tex] = 9 · 9 = 81

1/64^-2 = 4,096

Greg kicked the soccer ball 75 feet. How many yards did he kick the ball? Answer without units

Answers

Answer: I believe 25 yards.

Step-by-step explanation: Hope it helps! Have a great day!!!

(3x^2 + 8x - 4 ) -(-x^2 +5x +2) simplify​

Answers

Answer:

4x^2+3x-6

Step-by-step explanation:

Answer:

4x^2+3x-2

Step-by-step explanation:

I hope this helps

i need help on this question​

Answers

Answer:

90in²

Step-by-step explanation:

According to the question

The area of the shape=

(11+4)×6 in²

15×6 in²

90in²

90 inches squared so letter B

Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
Back
Next
It looks like 28inches
—————-
3.5 feet

Answers

28 inches = 2 1/3 feet
3.5 feet = 1 1/15 meters

What is this fraction shown above?

Answers

Answer:

The Fraction show above is 2/8

Step-by-step explanation:

#Hope it helps

2/8 is correct or simplified to 1/4

Factor completely 2x^2 + 9x + 7.
A) (2x + 7)(x + 1)
B) (2x + 1)(x + 7)
C) (2x + 9)(x + 2)
D) (2x + 7)(2x + 1)​

Answers

Answer:

Step-by-step explanation:

(2x + 7)(x + 1)

answer is A

Brittany is giving her sister 2/5 of her shell collection . How many 1/15s of her shell collection is she giving her sister?

Answers

Answer:

Brittany is sharing number of [tex]\frac{1}{15}[/tex]s with her sister = 6

Step-by-step explanation:

Let the shell collection of Brittany = x

She is giving [tex]\frac{2}{5}[/tex] of her shell collection to her sister.

Therefore, shells received by her sister = [tex]\frac{2x}{5}[/tex]

[tex]\frac{1}{15}[/tex]th of her shell collection = [tex]\frac{x}{15}[/tex]

Number of [tex]\frac{1}{15}[/tex]s her sister received = [tex]\frac{\text{Total shells received by Brittany's sister}}{\frac{1}{15}th \text{part of Brittany's shells}}[/tex]

                                                         = [tex]\frac{\frac{2x}{5}}{\frac{x}{15} }[/tex]

                                                         = [tex]\frac{2x}{5}\times \frac{15}{x}[/tex]

                                                         = 6

Therefore, number of [tex]\frac{1}{15}[/tex] received by her sister = 6

Which side lengths form a right triangle? Choose all answers that apply

Answers

Answer:

B.

Step-by-step explanation:

[tex] \sqrt{65} [/tex]

is about 8 and it passes the sum test

for a, the sum of 2,15 must be greater than 17 and its equal to so no

Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes. How many coins did he have left?

Answers

Answer:

180 coins

Explanation:

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

1) N = D + 43

2) D' = D - 17

3) N = 2*D' = 2*(D - 17)

Set equations 1) and 3) equal to each other and solve for D:

D + 43 = 2*(D - 17)

D + 43 = 2*D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)

Number of nickels 120, number of dimes 60 and total number of coins 180.

Given that, Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

N = D + 43 ..........(1)

D' = D - 17 ..........(2)

N = 2×D' = 2×(D - 17) ..........(3)

Set equations (1) and (3) equal to each other and solve for D:

D + 43 = 2×(D - 17)

D + 43 = 2D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins

Therefore, number of nickels 120, number of dimes 60 and total number of coins 180.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

What’s the value of X on the parallelogram below?

Answers

Answer:

I think x is 34.75.

Step-by-step explanation:

Same side interior angles are supplementary to each other. Angle C and angle E are congruent to each other.

(4x-20)+61=180

4x+41=180

subtract 41 from both sides

4x=139

x=34.75

A particle moves along the x-axis. The velocity of the particle at time t is −2t+8 . What is the total distance traveled by the particle from t=1 to t=6?

Answers

Answer:

13

Step-by-step explanation:

The velocity is given by:

[tex]\displaystyle v(t)= -2t + 8[/tex]

And the total distance given the velocity is given by:

[tex]\displaystyle \int_{a}^{b}|v(t)|\, dt[/tex]

So, the total distance traveled by the particle from t = 1 to t = 6 will be:

[tex]\displaystyle d=\int_{1}^{6}|-2t+8|\, dt[/tex]

The absolute value tells us that:

[tex]\displaystyle |-2t+8| = \left\{ \begin{array}{ll} -2t+8 & \quad x \leq 4 \\ -(-2t+8) & \quad x > 4\\ \end{array} \right[/tex]

So, split the integral into two parts:

[tex]\displaystyle d=\int_{1}^{4} (-2t+8)\, dt+\int_{4}^{6}(-(-2t+8))\, dt[/tex]

Integrate:

[tex]\displaystyle d=(-t^2+8t)\Big|_{1}^{4}+(t^2-8t)\Big|_{4}^{6}[/tex]

Evaluate:

[tex]\begin{aligned} d&=[(-4^2+8(4))-(-1^2+8)]+[(6^2-8(6))-(4^2-8(4)]\\ &= [16-7]+[-12-(-16)]\\ &=9+4 \\ &=13 \end{aligned}[/tex]

A student ask the question, "what is a plant?" this is NOT a testable question because. SCIENCE

Answers

“What is a plant?” Is not testable because you should be able to make a hypothesis out of this, which would be an “if, then” statement.

At the not much fun amusement park, Otaka Shawa paid $25.75 for three game of mini-marbles-golf and two rides on the slow-go-karts,while Soren Derkeister paid $35.75 for four games of mini-marbles-golf and three rides on the slow-go-karts. How much did each activity cost?

Answers

I’ll use m for marbles & g for go karts. I’m hoping someone has a prettier way to do this, and I can learn with you.

3m + 2g = 25.75
4m + 3g = 35.75

We’ll take the top equation and solve for g in terms of m.

2g = -3m + 25.75
g = (-3m + 25.75)/2

Then substitute that mess, um, expression, I to the second equation to solve for m.

4m + 3[(-3m + 25.75)/2] = 35.75
4m + (-9m + 77.25)/2 = 35.75
4m -4.5m + 38.625 = 35.75
-0.5m = -2.875
0.5m = 2.875
m = 5.75

Now we pick an equation, plug in the numerical value of m, and solve for a numerical value of g

3m + 2g = 25.75
3(5.75) + 2g = 25.75
17.25 + 2g = 25.75
2g = 8.50
g = 4.25

Checking the math:
4m + 3g = 35.75
4(5.75) + 3(4.25) = 23 + 12.75 = 35.75

Mini marbles golf cost $4.25, slow go karts cost $5.75.

Find c. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

A = 150°

B = 12°

C = 180 - (150 + 12) = 18°

b = 10 cm

Apply the sine rule:

[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]

Plug in the values

[tex] \frac{10}{sin(12)} = \frac{c}{sin(18)} [/tex]

Multiply both sides by sin(18)

[tex] \frac{10}{sin(12)}*sin(18) = \frac{c}{sin(18)}*sin(18) [/tex]

[tex] \frac{10*sin(18)}{sin(12)} = c [/tex]

c = 14.9 cm (nearest tenth)

PLS ANSWERRRRRRRRRRR

Answers

D
Bc I’ve done this before
Lol no hahahahahahahahaaha

Jim buys a vase. The diameter of the vase is 14 cm. What is the circumference?

Answers

Step-by-step explanation:

To find circumfrence you use the equation:

[tex]C=2\pi r[/tex]

Since you were given the diameter so you divide by half to get the radius.

14/2 = 7

your radius is 7 and all you do is plug into the equation

[tex]C=2\pi 7[/tex]

C= 43.98 or 44 rounded

Answer:

To find circumfrence you use the equation:

Since you were given the diameter so you divide by half to get the radius.

14/2 = 7

your radius is 7 and all you do is plug into the equation

C= 43.98 or 44 rounded

Step-by-step explanation:

Demi has 221 songs on her phone. The songs take up 884 megabytes of storage . Each song takes up same amount of space . How many megabytes do 135 of these songs take up?

Answers

Answer:

540 megabytes

Step-by-step explanation:

We will first need to find out how much space a singular song will take up. We will do this by the storage taken up (884) by the number of songs she has:

884 / 221 = 4 mb taken up per song

Then we want to find out how many megabytes 135 of these songs take up, so we will multiply the mb taken up per song (4) by the number of songs we want to find (135):

4 x 135 = 540 megabytes

Edit: made a mistake in my original answer, apologies!

PLEASE HELP I ATTACHED THE PICTURE

Answers

Answer:

option 3 is correct

Step-by-step explanation:

because ....

It has to be Option 3/C

Exlaination: I have done this problem before and got it right.

A rectangular prism has the dimensions shown below.
3 cm
3 cm
12 cm
What is the volume of the rectangular prism?

Answers

Answer:

108 cubic cm

Step-by-step explanation:

Multiply 3, 3, and 12. Just multiply the dimensions of the cubes.

Let f be the function given by f(x) = x +
Vx+1
X - 1
Find and simplify f(5).

Answers

Answer:

A)4

Step-by-step explanation:

Since (3+1)^1/2=2

and 3-1=2

2/2=1

3+1=4

James drinks 2.4 litres of water in a day. Stephen drinks 1/3 more. How much water does Stephen drink? What is this in millilitres and litres?

Answers

2.4 x 1/3 = 0.8 liters more.

2.4 + 0.8 = 3.2 liters

Stephen drinks 3.2 liters which is 3,200 milliliters

If a card is randomly selected, what is the probability of drawing spade or club?

Answers

If it is a standard deck of cards then it should be 26/52 which is equal to 50%.

Please answer quick! I have a headache and I don't want to do the work.. Giving brainliest to the RIGHT ANSWER.

How many 1/8's are in 25?

Answers

Answer:

There are 200 1/8's in 25.

Step-by-step explanation:

If I am thinking of this correctly then there are 200. Basically, what how I interpreted this is that you mean 8 1/8's make up 1. and you need 25 whole 1's. If that is the case the correct answer is 200.

200 1/8. Hope this helps and feel better!

please help I'll give brainliest to the correct answer.

A triangle has side lengths 5, 7, and 11. Classify the triangle by it's angles. show your work.​

Answers

Answer:

it is probably a right triangle

Step-by-step explanation:

right angle because 11 is 7 beside and 5 under

Answer:

i think its a right angle, not sure tho

Step-by-step explanation:

simplify each radical
[tex] \sqrt{75x^{6} } [/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{75x^6}\\ \\ \sqrt{3(5^2)x^{3^2}}\\ \\ 5x^3\sqrt{3}[/tex]

What is circled is the answer. Hope this helps

What is the value of the underlined digit write your answer as a fraction pls help

Answers

Answer:

2/100

Step-by-step explanation:

a thousandth basically

Answer:

2 over 1000

Step-by-step explanation:

Draw a pair of adjacent complementary angle

Answers

Answer:

one angle can be 50 degrees and the other angle will be 40 degrees

Step-by-step explanation:

complementary is when 2 angles add up to 90 degrees

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices- a, b, c, d, e- and only one correct answer. What is the probability that he answered both of the problems correctly? Write your answer as a fraction in simplest form.

Answers

2 problems and 5 answer choices = 5 x 5 = 25 possibilities

1 correct answer out of 5 = 1/5
1/5 x 1/5 = 1/25

Complete the following problems. Please show your work.

1. A freight train leaves the station traveling due north at a speed of 40 mph. One hour later, a passenger train leaves the same station traveling due north on a parallel track at a speed of 50 mph. How long will it take the passenger train to overtake the freight train?

2. The width of a soccer field recommended for players under 12 is 32 yards less than the length. The perimeter of the fields is 290 yards. Find the dimensions of the field.

3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

Using the relationship

distance (d) = speed (s) × time (t)

The freight train leaves the station 1 hour earlier than the passenger train, so

d = 40(t + 1) ← Freight train

d = 50t ← Passenger train

We require to find when they are at the same distance from the station, then equating the 2 equations

50t = 40(t + 1) ← distribute

50t = 40t + 40 ( subtract 40t from both sides )

10t = 40 ( divide both sides by 10 )

t = 4

The passenger train will overtake the freight train after 4 hours

-------------------------------------------------------------------------------------

(2)

let l represent length, then width = l - 32

perimeter (P) = 2l + 2w = 290, that is

2l + 2(l - 32) = 290 ← distribute and simplify left side

2l + 2l - 64 = 290

4l - 64 = 290 ( add 64 to both sides )

4l = 354 ( divide both sides by 4 )

l = 88.5 and w = 88.5 - 32 = 56.5

Then dimensions are 88.5 yards by 56.5 yards

----------------------------------------------------------------------------------

(3)

Plan A : 100 + 15n

Plan B : 25n

When is Plan A better than Plan B , that is

100 + 15n > 25n ( subtract 25n from both sides )

100 - 10n > 0 ( subtract 100 from both sides )

- 10n > - 100

Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.

n < 10

Plan A is better when number of hours (n) is less than 10

Answer:

3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?

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