Markus ran 2 1/3 miles each day for 7 days last week. Sofia ran 3 1/4 miles each day for 5 days last week. Which statement about the runners is true?

A.
Sofia ran 11/12 mile farther than Markus ran last week.

B.
Markus ran 1/12 mile farther than Sofia ran last week.

C.
Sofia ran 1/12 mile farther than Markus ran last week.

D.
Markus ran 11/12 mile farther than Sofia ran last week.

Answers

Answer 1

Answer:

Step-by-step explanation:

First, solve the problems:

MARKUS :

2[tex]\frac{1}{3}[/tex] x [tex]\frac{7}{1}[/tex]=  16 [tex]\frac{1}{3}[/tex] -----> 5 [tex]\frac{1}{3}[/tex] mles

SOFIA :

3[tex]\frac{1}{4}[/tex] x [tex]\frac{5}{1}[/tex] = 16 [tex]\frac{1}{4}[/tex] -----> 16 [tex]\frac{1}{4}[/tex]


Related Questions

Please help! THIS IS MY LAST QUESTION​

Answers

Answer:

10) is 2/5 and 11) is 1/8

Step-by-step explanation:

you divide the first number by the second number and get a decimal which can be turned in to a fraction so 10 can also be 0.4 and 11 can also be 0.125 use desmos calculator to help you with anymore questions

2/5
1/8
Are the answers for the two questions

Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 90° counterclockwise.

A: U′(0, −2), V′(−1, −3), W′(−3, −3)
B: U′(0, −2), V′(1, −3), W′(3, −3)
C: U′(2, 0), V′(3, −1), W′(3, −3)
D: U′(−2, 0), V′(−3, 0), W′(3, −3)

Answers

The answer is B. Do you need proof?

Caden is making beaded necklaces. Blue and red are his favorite colors, so he buys 50 grams of beads in each color. He switches between the two colors, but he runs out of the red beads first. That makes him wonder how much heavier the red beads are than the blue ones. After counting them, he finds he bought 250 blue beads but only 200 red beads. How many milligrams heavier is a red bead than a blue bead?

Answers

Since Caden bought 50 grams of each color and all the blue beads weigh the same and all the red beads weigh the same, we can divide 50 by the number of blue beads to find the weight of a single blue bead:

50 grams / 250 beads = 0.2 grams per blue bead

Similarly, we can divide 50 by the number of red beads to find the weight of a single red bead:

50 grams / 200 beads = 0.25 grams per red bead

To find the weight difference between a red bead and a blue bead, we can subtract the weight of a blue bead from the weight of a red bead:

0.25 grams per red bead - 0.2 grams per blue bead = 0.05 grams per bead

To convert grams to milligrams, we can multiply by 1000:

0.05 grams per bead * 1000 = 50 milligrams per bead

Therefore, a red bead is 50 milligrams heavier than a blue bead.

~~~Harsha~~~

A tree grows 1.5 feet per year. The tree is now 6 feet tall. Which sets of steps show ways to determine how many years the tree will take to be 27 feet tall?

Select the TWO correct answers.

A. 1.5x+6=27
1.5x=21
x=14
The tree will take 14 years to be 27 feet tall.

B. 27-6=21
21÷1.5=14
The tree will take 14 years to be 27 feet tall.

C. 1.5(x+6)=27
x+6=18
x=12
The tree will take 12 years to be 27 feet tall.

D. 1.5x+6=27
x+6=18
x=12
The tree will take 12 years to be 27 feet tall.

E. 27÷1.5=18
18-6=12

Answers

Answer:

Step-by-step explanation:

Answers are A and B.

Facts given are :

Current height    = 6 ft

Growth per year = 1.5 ft

Final height         = 27

Explanation for A:

Assume it takes 'x' number of years.

initial height + growth in 'x' years = Total height of the tree after 'x' years

                                          6 + 1.5x = 27

                                                 1.5x = 27 -6 = 21

(1.5 can be written as 3/2)      3x/2 = 21

                                                     3x = 42

                                                       x = 14

hence, number of years = 14

Explanation for B:

After 'x' years,

Final height - initial height = Growth in 'x' years

27 - 6 = Growth in 'x' years

21=Growth in 'x' years = 1.5x

21= 3x/2

42=3x

14=x

hence, number of years = 14

The answers are A & B.

Grayson created a scale drawing of the school multipurpose room in his art class. In the scale drawing, the length of the room is 14 inches. The length of the actual multipurpose room is 112 feet.

Answers

The scale that Grayson use to create the scale drawing of the school multipurpose room is 1 inche: 8 feet

Which scale did Grayson use to create the scale drawing of the school multipurpose room?

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

In the scale drawing, the length of the room is 14 inches. The length of the actual multipurpose room is 112 feet.

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

Scale factor = scale length : actual length

substitute the known values in the above equation, so, we have the following representation

Scale factor = 14 in : 112 feet

Evaluate

Scale factor = 1 inches : 8 feet

Hence, the scale factor is 1 inches : 8 feet

Read more about scale factor at

https://brainly.com/question/29229124

#SPJ1

A contractor is building the base of a circular fountain. On the blueprint, the base of the fountain has a diameter of 18 centimeters. The blueprint has a scale of three centimeters to four feet. What will be the actual ares of the base of the fountain, in square feet, after it is built? Round your answer to the nearest tenth of a square foot.

Answers

Answer:

452.4 square feet

Finding the diameter:

Since there are 3 centimeters for every 4 feet, we need to divide 18 by 3

18 ÷ 3 = 6 which means the ratio is scaled up by 6 so we multiply 4 by 6

4 · 6 = 24 that means that the diameter of the base of the fountain is 24 feet

Finding the area:

Since the area of a circle is πr² we need to divide the diameter by 2 to get the radius(r)

24 ÷ 2 = 12 now we need to square 12 (which is multiplying it to itself ex. 5² is 5 · 5)

12 · 12 = 144 now we multiply it by π

π · 144 ≈ 452.38934 lastly we round it

452.4 square feet

Hope this helps!

Arjun’s mom is throwing a birthday party for his younger sister! She’s trying to figure out how many cupcakes to order when she realizes that it depends on the number of people eating cupcakes at the party.

What is the independent variable in this scenario? Why?

Answers

Answer:

Arjun's mom can vary the number of cupcakes she orders depending on the number of people expected to eat them.

Step-by-step explanation:

The independent variable in this scenario is the number of people eating cupcakes at the party. It is a variable that can be changed or manipulated and is not affected by other variables. In this case, Arjun's mom can vary the number of cupcakes she orders depending on the number of people expected to eat them.

The independent variable is something that stands independent like the name. Nothing can change or effect this number essentially making it invincible. The number of cupcakes she has to get is a dependant variable because it depends on the number of kids coming so that is definitely not the independent variable. Remember, the independent variable can stand alone and is not effected by any number. Hope that helps!

The graph shows the relationship between the number of hours that water has been flowing from a hose and the number of gallons of water in a swimming pool.

image


What are the coordinates of the point on the graph that shows that the swimming pool has no water in it when water starts flowing from the hose?

A.
(8, 5,760)

B.
(4, 2,880)

C.
(0, 0)

Answers

the answer is b
don’t know if i’m correct but i’m 98 percent sure
The answer is B for the question

what would be the name of this net?

Answers

Answer:

rectangular prism net

The outside temperature was -6°C at 8:30 ᴀ.ᴍ. The temperature changed by an average of −0.6°C per hour until 11:00 ᴀ.ᴍ. Complete the sentences to identify the temperature at 11:00 ᴀ.ᴍ. and explain why it is reasonable. Select the correct answer from each drop-down menu. The temperature at 11:00 ᴀ.ᴍ. was
Choose...
. This is reasonable because the temperature
Choose...
each hour, meaning the ending temperature was
Choose...
than the beginning temperature.

Answers

Answer:

Step-by-step explanation:

 The temperature at 11:00 a.m. was -8.4°C_. This is reasonable because the temperature decreased by -0.6°C each hour, meaning the ending temperature was 1.8°C lower than the beginning temperature.

What is the volume of a rectangular box that is 18 centimeters long, 11 centimeters wide and 5 centimeters height?

Answers

Answer:

990 cm 3

Step-by-step explanation:

18 X 11 X 5 = L X W X H

Answer:

990 cm 3

Step-by-step explanation:

The length of the rectangular box is 18, the width of the rectangular box is 11, and the height of the rectangular box is 5 and you multiply all of them and get 990

Hope this helped

The radius of a circle is 36 miles. What is the circle's circumference? Use 3.14 for ​. miles

Answers

Answer:

The circumference of the circle is 226.08 miles.

Step-by-step explanation:

C = 2πr

C = 2π36

C = 2 x 3.14 x 36

C = 226.08

The circumference of the circle is 226.08

How long is the above fish if each can is about 4 ¾ inches?

Answers

Answer:

33.25 = 33 1/4

Step-by-step explanation:

times 4 3/4 by 7

4 3/4 X 7 = 33.25 = 33 1/4

Single probability
HELP PLEASE!!

Answers

Answer:  Its 1/30

Step-by-step explanation: 1 of ten of the red and 1/3 is red out of the others.

The odds of pulling a red ball out of a bag of 30 balls in which 10 are red can be calculated as follows:

First, we need to determine the total number of possible outcomes, which is the number of balls in the bag:

Total number of possible outcomes = 30

Next, we need to determine the number of favorable outcomes, which is the number of red balls in the bag:

Number of favorable outcomes = 10

Therefore, the odds of pulling a red ball out of the bag can be expressed as:

Number of favorable outcomes / Total number of possible outcomes

= 10/30

= 1/3

So the odds of pulling a red ball out of the bag are 1 in 3 or 1/3.

Determine if the graph shows a proportional relationship.

Graph with x axis labeled distance miles and y axis labeled time hours. A line begins at point 0 comma 0 and continues to the right.

No, it is not proportional because the line does not intersect with the origin.
No, it is not proportional because the x-axis and y-axis are not labeled correctly.
Yes, it is proportional because it is a line that intersects with the origin.
Yes, it is proportional because the x-axis and y-axis are labeled correctly.

Answers

it is proportional, the line intersects with the orgin
it is number 3 that’s right

Math needed in 20-30 mins Pls

Answers

Answer:

the two accounts don't compare and account A earned 180

Step-by-step explanation:

interest =beginning amount or principal amount *rate *time in years /100 so that would be 1500*4*3/ 100 and 1500*6*1.9/100

A store regularly sells a Nintendo Switch Lite for $200. They are currently on sale for 30% off and in your state the sales tax is 8%. What would be the final cost for the consumer (including tax) if they buy the Nintendo Switch Lite?

Answers

Answer:

$151.20

Step-by-step explanation:

The sale price of the Nintendo Switch Lite is 30% off its regular price of $200, which means the discount is:

Discount = 30% x $200 = $60

The sale price of the Nintendo Switch Lite after the discount is:

Sale price = $200 - $60 = $140

The sales tax in the state is 8%, so the tax amount on the sale price is:

Tax amount = 8% x $140 = $11.20

Therefore, the final cost for the consumer, including tax, would be:

Final cost = Sale price + Tax amount = $140 + $11.20 = $151.20

Hence, the final cost for the consumer, including tax, would be $151.20 if they buy the Nintendo Switch Lite.

not really a math wizard but i learnt this a month ago

200 x 30% is 60 then i guess you subtract 60 from 200 which is 140 then im pretty sure you multiply the sales tax aka 8% to 140 which would be 8% x 140 = 11.2 then you add 11.2 to 140 and i think that gives you 151.2

What is the surface area?

Use this formula- A= 1/2 bh

Answers

Answer:960 m is the right answera

Step-by-step explanation:

after doing it with the given formula the answer will be 960

The correct answer is 768

What is the value of 16(3)-w, when w=20 and x=1/2

Answers

16 x 3 = 48
48-20= 28
Answer : 28
Answer: 28Step-by-step explanation:16(3)-w16(3)-20 (Replace the "W" with 20)48-20=28

An experiment is conducted with a bag of marbles containing 5 red and 2 blue marbles. The results of a marble being drawn twice and replaced 100 times are shown in the table.





Find P(no red).
50 over 100
25 over 100
21 over 100
19 over 100

Answers

Answer:

its 21 over 100

Step-by-step explanation:

it is because when we do the probability we will get to know that the answer is 21 over 100

the answer it’s 21 over 100

Can someone please help

Answers

Answer:

I think the answer is c

Step-by-step explanation:

Sorry if i am wrong, also pleas give me Brainliest

It’s a. 5/4n-3/8 you can look this up. A. No b no c no d a

The original price of a shirt is $30. The sale price of the shirt is 20% off of the original price. Sales tax is 7% of the sale price of the shirt. The total cost of the shirt is the sale price plus sales tax. A customer buys the shirt on sale. What is the total cost to the customer?

A. $25.68


B. $17.00


C. $10.70


D. $6.42

Answers

Answer:

$25.68

Sales Price:

In order to find the sales price we need to find what 20% off of $30 is. 20% off is 80% of the original price so we'll use 80% instead. Now what we need  to do to find 80% of $30 is we need to multiply $30 by 0.8. When you're converting precents to decimals you move the decimal place over 2 spots like this: 38.0% = 0.38. Okay, now that we've figured that out we can do the multiplication:

$30 · 0.8 = $24

Sales Tax:

Now there are 2 ways to go from here:

1. Multiply $24 by 7% then add it to $24

This is the first solution to come to mind but is inefficient

2. Multiply $24 by 107%

You skip the second step by adding $24 in the percent (since $24 is 100% in this case).

Either way you come to the conclusion of $25.68

Hope this helps!

25 is the answer you just have to round up

a 10 year loan with 4% simple interest? Find the total amount paid, interest paid, and the monthly payment.

Answers

To find the total amount paid, interest paid, and monthly payment for a 10-year loan with 4% simple interest, we need to know the principal amount of the loan. Let's assume the principal amount is $10,000.

Total amount paid = Principal + Interest
Interest = Principal x Rate x Time

Here, Rate = 4% = 0.04 (as a decimal)
Time = 10 years

So, Interest = $10,000 x 0.04 x 10 = $4,000

Total amount paid = $10,000 + $4,000 = $14,000

To find the monthly payment, we can use the formula:

Monthly payment = Total amount paid / Number of months

Number of months = 10 years x 12 months/year = 120 months

So, Monthly payment = $14,000 / 120 = $116.67 (rounded to the nearest cent)

Therefore, the total amount paid is $14,000, the interest paid is $4,000, and the monthly payment is $116.67.

Clara and her little sister are making kites to fly in the park. Clara ties 60 centimeters of ribbon to the bottom of her little sister's kite. Clara's kite is bigger, so she needs more ribbon than her sister. Clara uses an extra 40 centimeters of ribbon for her own kite. If Clara started with 2 meters of ribbon, how many centimeters does she have left?

Answers

Answer:

Clara will have 40 centimeters of ribbon left.

Step-by-step explanation:

1 meter is the same as 100 centimeters, so 2 meters is 200 centimeters. So, we take 200 centimeters, subtract 60 centimeters:

[tex]200 - 60= 140[/tex]

so she has 140 centimeters, then we subtract another 60 centimeters for Clara's kite:

[tex]140 - 60= 80[/tex]

But remember, she needs an extra 40 centimeters because her kite is bigger:

[tex]80 - 40= 40[/tex]

So, Clara is left with 40 centimeters, or 0.4 meters, of ribbon.

A. Plot points that show the volume when r=1, r=2, r=3, and .r=4.
B. Show your reasoning.

Answers

To plot points that show the volume of a sphere for different values of the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr^3

For different values of the radius, we can substitute those values into the formula and calculate the corresponding volume.

A. Plotting points for r = 1, 2, 3, and 4:

When r = 1, V = (4/3)π(1)^3 = (4/3)π ≈ 4.19

When r = 2, V = (4/3)π(2)^3 = (4/3)π(8) ≈ 33.51

When r = 3, V = (4/3)π(3)^3 = (4/3)π(27) ≈ 113.1

When r = 4, V = (4/3)π(4)^3 = (4/3)π(64) ≈ 268.1

We can plot these points on a graph with radius on the x-axis and volume on the y-axis:

B. Reasoning:

As we can see from the formula for the volume of a sphere, the volume increases rapidly as the radius increases. In fact, the volume increases with the cube of the radius, which means that a small increase in radius can result in a significant increase in volume. This is why we see such a rapid increase in volume as we increase the radius from 1 to 4.

The graph of the volume of a sphere versus its radius is a curve that starts at zero when the radius is zero (i.e., a point) and increases rapidly as the radius increases. It is a smooth, continuous curve that does not have any sharp turns or corners. This is because the formula for the volume of a sphere is a smooth, continuous function of the radius, with no sudden jumps or changes.

Use the graph to answer the question..



Determine the translation used to create the image.

5 units to the right
5 units to the left
2 unit to the right
2 unit to the left

Answers

Answer:

5 units to the left

Step-by-step explanation:

From the preimage with vertices A, B, C, D to the image with vertices A', B', C', D', we can see that the parallelogram has been translated (moved without changing the shape) 5 units to the left.

The box plot represents the number of tickets sold for a school dance.

A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.

Which of the following is the appropriate measure of center for the data, and what is its value?

Group of answer choices

The mean is the best measure of center, and it equals 19.

The median is the best measure of center, and it equals 4.

The median is the best measure of center, and it equals 19.

The mean is the best measure of center, and it equals 4.

Here is the graph in image form:

Answers

Answer:

I think its the first option.

Step-by-step explanation:

I think Its A because I think the mean is the stretch of a graph like shown in the image which is 19. So, I think that is your answer A.

It’s the median is the best measure of center, and it equals 19 because mean is the average of the whole thing while median is middle

The two parallelograms below are similar. What is the length in inches of PQ¯¯¯¯¯¯¯¯ ? Responses 50 in. 50 in. 42.5 in. 42.5 in. 40 in. 40 in. 17.5 in.

Answers

Answer: The 40 in one is similar

Step-by-step explanation:

also please answer my question if possible

(Adding and Subtracting Linear Expressions MC)

Add the expressions.

the quantity negative 7 minus one fifth times p end quantity plus the quantity nine tenths times p minus 2 end quantity

negative 8 over 15 times p plus negative 5
7 over 10 times p minus 9
7 over 20 times p minus 5
8 over 10 times p plus negative 9

Answers

Answer:

15 over 10 times p plus negative 23

a 5 year loan with 5.5% simple interest? Find the total amount paid, interest paid, and the monthly payment.

Answers

Hope this helps

To calculate the total amount paid, interest paid, and monthly payment for a 5-year loan with 5.5% simple interest, we need to know the principal amount of the loan. Let's assume the principal amount is $10,000.

Total amount paid = Principal + Interest
Total amount paid = $10,000 + Interest

To calculate the interest, we can use the formula:

Interest = Principal x Rate x Time

Where Rate is the interest rate per year and Time is the time period in years.

Interest = $10,000 x 0.055 x 5
Interest = $2,750

So the total amount paid would be:

Total amount paid = $10,000 + $2,750
Total amount paid = $12,750

To calculate the monthly payment, we can use the formula:

Monthly payment = Total amount paid / Number of months

Where Number of months is the total number of months in the loan term.

Number of months = 5 years x 12 months/year
Number of months = 60 months

Monthly payment = $12,750 / 60
Monthly payment = $212.50

Therefore, the total amount paid is $12,750, the interest paid is $2,750, and the monthly payment is $212.50.

Answer:

Step-by-step explanation:

i had that one its really hard

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