Mrs. Pythagoras compares the distance traveled by three of her students. • Jason's distance travelled is given by the equation d =m, where, the total distance d traveled is given in m minutes. • Susan traveled(3 miles in 5 minutes.) The graph below represents the distance Mickey traveled.

please help me answer this math question​

Mrs. Pythagoras Compares The Distance Traveled By Three Of Her Students. Jason's Distance Travelled Is

Answers

Answer 1

The student with the lowest unit rate is Mickey, with a unit rate of 0.3 miles per minute.

What is the relation of speed and distance?

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.

The speed formula is speed = distance / time.

We are given that;

Equation d=m

Susan distance travelled=3 miles in 5 minutes

Now,

To find the unit rate, we need to divide the distance traveled by the time taken. Let's start by calculating the unit rate for each student:

Jason: The equation given for Jason's distance traveled is d = m, where d is the distance traveled in m minutes. Therefore, his unit rate is 1 mile per minute.

Susan: She traveled 3 miles in 5 minutes. To find her unit rate, we divide 3 miles by 5 minutes:

Unit rate = 3 miles / 5 minutes = 0.6 miles per minute

Mickey: The points on Mickey's distance vs time graph are (20,6), (40,12), and (60,18). We can use these points to calculate the unit rate for Mickey.

Between the points (20,6) and (40,12), the distance traveled is 12 - 6 = 6 miles, and the time taken is 40 - 20 = 20 minutes. Therefore, the unit rate is:

Unit rate = 6 miles / 20 minutes = 0.3 miles per minute

Between the points (40,12) and (60,18), the distance traveled is 18 - 12 = 6 miles, and the time taken is 60 - 40 = 20 minutes. Therefore, the unit rate is:

Unit rate = 6 miles / 20 minutes = 0.3 miles per minute.

Therefore, by distance given the answer will be 0.3 miles per minute.

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Related Questions

On a random Monday in the spring, 95% of students are present at school. If there are 589 students present, then how many total students are enrolled? ​

Answers

Answer:

620

Step-by-step explanation:

If Kayla ran 9/10 mile yesterday today she ran 8/9 the distance she ran yesterday which day did Kayla run more miles? Explain your reasoning

Answers

Answer:

Kayla ran longer miles yesterday than today

Step-by-step explanation:

Distance  Kayla ran  yesterday be x

Then x =   [tex]\frac{9}{10}[/tex] mile

That is  x =  0.9 miles

The Distance she ran today be y

Then y  =  [tex]\frac{8}{9}[/tex]  of the distance she ran yesterday

So the distance Kayla  ran today

=   [tex]\frac{8}{9}[/tex]  [tex]\times \text { the distance she ran yesterday }[/tex]

On substituting the value

y = [tex]\frac{8}{9} \times\frac{9}{10}[/tex]

y = [tex]\frac{8}{10}[/tex]

y = 0.8 miles

x is greater than y

0.9 > 0.8

A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the exponential function P(t) = 7bt, where t is the time in weeks after the release and b is a positive unknown base. According to the model, how many fish of the new species were released initially? A) 2 B) 7 C) 12 D) 14

Answers

The initial amount of fish released would be the number shown in the equation.

The answer is 7

Final answer:

The initial number of fish released into the lake is 7, which is calculated by substituting t = 0 into the provided exponential growth function, P(t) = 7bt.

Explanation:

The growth of the fish population in the lake is modeled by the exponential function P(t) = 7bt, where t is the time in weeks after the release, and b is a positive unknown base. To find out how many fish were released initially, we need to consider the population at time t = 0. When we substitute t = 0 into the exponential function, we get P(0) = 7b0, and since any number raised to the power of 0 is 1, P(0) = 7. Therefore, the initial number of fish released was 7.

Janelle ate 82% of the pie. What fraction of the pie remained? help meee

Answers

Answer:

There is 18% left of the pie.

Step-by-step explanation:

There is only 100% of a pie. If she at 82% then there is 18% left. 100-82=18

Answer:

9/50

Step-by-step explanation:

for a percentage to turn into a fraction all u have to do put the percent over 100 so in this case first subtract total 100-82= 18% so then 18/100 simplified it would be 9/50

Maggie has a circular table cloth with a 72-inch diameter that she plans to sew lace around. if the lace comes in 3-foot rolls, how many rolls will she need?

Answers

She will need 7 rolls of lace

Step-by-step explanation:

The given is:

Maggie has a circular table cloth with a 72-inch diameterShe plans to sew lace aroundThe lace comes in 3-foot rolls

We need to find how many rolls she will need

∵ The diameter of the table is 72 inches

- Change the inches to feet because the length of the lace in

   the rolls by feet

∵ 1 foot = 12 inches

∴ 72 inches = 72 ÷ 12 = 6 feet

∵ She plans to sew lace around the table

∴ The length of the lace is equal to the circumference of the table

∵ The circumference of a circle = π d, where d is its diameter

∴ The length of the lace = π(6)

∴ The length of the lace = 18.84955592 feet

∵ The lace comes in 3-foot rolls

- Divide the length of lace by 3 to find the numbers of the rolls

∴ The number of rolls = 18.84955592 ÷ 3

∴ The number of rolls = 6.283185

∴ She must buy 7 rolls

She will need 7 rolls of lace

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ak = v+w solve for a

Answers

Answer:

a = [tex]\frac{v+w}{k}[/tex]

Step-by-step explanation:

Given

ak = v + w ( isolate a by dividing both sides by k )

a = [tex]\frac{v+w}{k}[/tex]

How do you do this question?

Answers

Answer:

x={1,2,3}

Step-by-step explanation:

The given inequality is

[tex]1 \leqslant \frac{6x - 1}{3} \: < \: 7[/tex]

We multiply through by the LCM of 3 to get:

[tex]3\leqslant 6x - 1\: < \: 21[/tex]

We add 1 to both sides to get:

[tex]3 + 1\leqslant 6x \: < \: 21 + 1[/tex]

[tex]4\leqslant 6x \: < \: 22[/tex]

Divide through by 6 to get:

[tex] \frac{4}{6} \leqslant x \: < \: \frac{22}{6} [/tex]

This gives us:

[tex]\frac{2}{3} \leqslant x \: < \: \frac{11}{3} [/tex]

[tex]0.67 \leqslant x \: < \:3.67[/tex]

Since x is an integer, the possible values are:

x={1,2,3}

The circumference of a circle is about 37.7 cm and the diameter is about 12 cm. What expression best represents the value of π?



6/37.7

37.7/12

37.7/6

12/37.7​

Answers

Answer:

The best expression represents the value of π is  [tex]\frac{37.7}{12}[/tex] ⇒ 2nd answer

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

[tex]\frac{C}{d}=\pi[/tex] , where

C is the circumference of the circled is the diameter of the circle

∵ The circumference of the circle is about 37.7 cm

∵ The diameter of the circle is about 12 cm

- Find the ratio between them

∴ [tex]\frac{C}{d}=\frac{37.7}{12}[/tex]

∵ [tex]\frac{C}{d}=\pi[/tex]

- Equate the two right hand sides

∴  [tex]\frac{37.7}{12}=\pi[/tex]

The best expression represents the value of π is  [tex]\frac{37.7}{12}[/tex]

A shop sells one pound bags of peanuts for $2 and three pound bags of peanuts for $5. If 9 bags are purchased for a total of $36, how many three pound bags were purchased?

Answers

Answer:7

Step-by-step explanation:

5x7=35

Answer:

Six

Step-by-step explanation:

What do we know?

1 lb pack = $2

3 lbs pack = $5

9 packs are purchased for $36

Solve

The biggest amount of 3-pound bags can be 7. That cannot be because that would be $35, and there are no 1-pound bags.

Go down to 6. 6 bags of 3 pounds would cost $30. You can also get 3 2-pound bags to get to 36. Cost is reached. 6+3 = 9. Number of bags reached.

six 3-pound bags

What is the circumference of a tire with a radius of 22 centimeters

Answers

Answer:

Step-by-step explanation:

circumference= 2πr

                        = 2*[tex]\frac{22}{7}[/tex]*22

                        = 44*[tex]\frac{22}{7}[/tex]

                       = 968/7

                        = 138.28 cm

Answer:

Circumference of the Tire is  [tex]138.16cm[/tex]

Step-by-step explanation:

Circumference of any figure is the total length of its boundaries.

Considering the tire as a circle.

Given:

         radius of the tire= [tex]22cm[/tex]

    circumference of a circle = [tex]2\pi r[/tex]

                                         [tex]=2*\pi *22\\\\=44*\pi\\\\ =44(3.14)\\\\=138.16cm[/tex]

So, the circumference of the Tire is  [tex]138.16cm[/tex]

Marco has baked and frosted 4 dozen heart-shaped sugar cookies to bring to his class party. He wants to
put 3 gumdrops on each cookie. He has 4 bags of 40 gumdrops. Does he have enough gumdrops to put 3
on each cookie? Explain.

Answers

Answer:

16

Step-by-step explanation:

4 x 12=48           48 divided by 3=16  

Jolie uses the childcare facilities at her gym. Her monthly dues are $32, and childcare is $9 per visit. This month, she does not
wish to spend more than $122 for both dues and childcare. If x represents the number of times she can use childcare services,
which of the following inequalities symbolizes this situation?
A.
$32x+ $9 > $122
B. $32x + $9 < $122
C. $9x + $32> $122
D. $9x + $32 < $122

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D. $9x + $32 < $122

Step-by-step explanation:

given :

x is the number of visits

$9 is the cost per visit

$32 is the monthly dues

the amount she pays each month

= monthly dues + (cost per visit x number of visits)

= 32+ 9x  (rearrange)

= 9x + 32

given that she does not wish to spend more than $122, that means she wants to spend LESS than $122, i.e

amount spent < $122

or

9x + 32 < 122   (answer D)

-4/4+160%+1/5 as an exact decimal

Answers

Answer:

0.8

Step-by-step explanation:

-4/4=-1

160%=1.6

1/5=0.2

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

-1+1.6+0.2

0.6+0.2

0.8

What is the total weight of Trail Mix used in all bags

Answers

Final answer:

To find the total weight of trail mix used in all bags, more information is needed.

Explanation:

To find the total weight of trail mix used in all bags, we need more information. The information provided in the question does not mention the weight of trail mix or the number of bags. Without this information, we cannot calculate the total weight.

Laura created a website to create T-shirts. In the first month she put up her website she had only a single T-shirt order. Each month she got more orders. Following this function f(n)=2n-1
How many total orders did she receive over the first year?

Answers

Laura received 144 orders over the first year

Solution:

Given function is:

f(n) = 2n - 1

Where, "n" is the month

In the first month she put up her website she had only a single T-shirt order

f(1) = 2(1) - 1 = 2 - 1

f(1) = 1

There are 12 months in a year

For the second month, and third month and so on, substitute n = 2, 3 and so on

f(2) = 2(2) - 1 = 4 - 1 = 3

f(3) = 2(3) - 1 = 6 - 1 = 5

f(4) = 2(4) - 1 = 8 - 1 = 7

f(5) = 2(5) - 1 = 10 - 1 = 9

f(6) = 2(6) - 1 = 12 - 1 = 11

f(7) = 2(7) - 1 = 14 - 1 = 13

f(8) = 2(8) - 1 = 16 - 1 = 15

f(9) = 2(9) - 1 = 18 - 1 = 17

f(10) = 2(10) - 1 = 20 - 1 = 19

f(11) = 2(11) - 1 = 22 - 1 = 21

f(12) = 2(12) - 1 = 24 - 1 = 23

Thus total orders received over first year:

Total orders = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Total orders = 144

Thus she received 144 orders over the first year

P divided by 28 = -26

Answers

The answer is p= -728

Answer:54 when ever you have a positive and plus you always add

Step-by-step explanation:

A school football team is selling raffle tickets As a fundraiser it cost them $155 to print the tickets and they would like to make at least a $2500 profit how much money do they need to raise to cover the cost of the printing and meet their goals

Answers

Answer:

They need $2655 to raise to cover the costs of the printing and meet their goal.

Step-by-step explanation:

Consider the provided information.

As a fundraiser it cost them $155 to print the tickets and they would like to make at least a $2500 profit

Let x (in dollar) represents the fund raised.

The money spent on printing ticket is $155.

The profit they would like to make at least is $2500.

Therefore, the required inequality is:

[tex]x-155\geq 2500[/tex]

Simplify the inequality.

[tex]x\geq 2500+155\\x\geq 2655[/tex]

Therefore, they need $2655 to raise to cover the costs of the printing and meet their goal.

If the angular size of a tree at a distance of 0.5 miles is 1/2, how tall is the tree

Answers

The tall of the tree is 23.048 ft.

Solution:

Given data:

Angular size of a tree =  [tex]\left(\frac{1}{2}\right)^{\circ}[/tex]

Distance = 0.5 miles = 2640 feet

To find the tall of the tree:

Formula to calculate the height of the tree is

[tex]$\text{Physical size}= \text{Angular size}\times\frac{2\pi\times \text{distance}}{360^{\circ}}[/tex]

                    [tex]$ = \left(\frac{1}{2}\right)^{\circ}\times\frac{2\pi\times 2640}{360^{\circ}}[/tex]

                    [tex]$ = \left(\frac{1}{2}\right)^{\circ}\times\frac{44\pi}{3^{\circ}}[/tex]

                    [tex]$ = 23.048[/tex]

Physical size = 23.048 ft

Hence the tall of the tree is 23.048 ft.

Select is a subset of or is not a subset of for the blank so that the resulting statement is true.

​{ 1​, 3​, 5 ​} ___​ { ​1, 2,​ ..., 10 ​}

Answers

Answer:

Step-by-step explanation:

Subset(1,3,5) because it is found in another set.

not subset(2,4,6,7,8,9,10) they are not found in the other set.

1. Slove the system of equations, first by graphing, and then algebraically. (8 points) y=x-2 and y=-2x+7

Answers

The solution of the equation is [tex]x=3[/tex] and [tex]y=1[/tex]

Explanation:

The equations are [tex]y=x-2[/tex] and [tex]y=-2 x+7[/tex]

First we shall solve the equation graphically.

The image of the graph is attached below.

This contains the solution to the system of equations.

The equations [tex]y=x-2[/tex] and [tex]y=-2 x+7[/tex] are plotted on the graph.

The intersection of these two equations are the solutions of the system of equations.

Thus, the intersection of the two equations are [tex]x=3[/tex] and [tex]y=1[/tex]

Now, we shall solve the equation algebraically.

Let us solve the equation using substitution method.

Let us substitute [tex]y=x-2[/tex] in [tex]y=-2 x+7[/tex], we get,

[tex]x-2=-2x+7[/tex]

Adding both sides by 2x, we have,

[tex]3x-2=7[/tex]

Adding both sides by 2, we get,

[tex]3x=9[/tex]

Dividing both sides by 3,

[tex]x=3[/tex]

Thus, the value of x is 3.

Substituting [tex]x=3[/tex] in [tex]y=x-2[/tex], we get,

[tex]y=3-2\\y=1[/tex]

Thus, the value of y is 1.

Hence, The solution of the equation is [tex]x=3[/tex] and [tex]y=1[/tex]

1. Which of the following shows the correct use of the Distributive Property when solving 1/3( 33
- y) = 135. 2
• (33 - y) = 1/3 * 135.2 (your response)
. (1/3*33) - 1/3y = 1/3* 135.2
. (1/3 * 33) - 1/3y = 135.2
. (1/3 * 33) + 1/3y = 135.2
Please I need this asp

Answers

Answer:

The option [tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex] is correct

Step-by-step explanation:

Given equation is [tex]\frac{1}{3}(33-y)=135.2[/tex]

The option shows correct usage of distributive property is

[tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex]

( by distributive property [tex]a(x+y)=ax+ay [/tex] here [tex]a=\frac{1}{3}[/tex], x=33 and y=-y )

Therefore the option [tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex] is correct.

The correct use of the Distributive Property for the equation 1/3(33 - y) = 135.2 is to apply multiplication to each term inside the parentheses by 1/3, resulting in (1/3 * 33) - (1/3)y = 135.2.

The question is asking for the correct use of the Distributive Property when solving the equation 1/3(33 - y) = 135.2.

The correct application of the Distributive Property to solve the equation would involve multiplying both terms inside the parentheses by 1/3. Here's how the property is correctly applied:

(1/3 * 33) - (1/3 * y) = 135.2

(33/3) - (1/3)y = 135.2

11 - (1/3)y = 135.2

Hence, the correct option that uses the Distributive Property properly is:

(1/3 * 33) - (1/3)y = 135.2

what did the beaver say to the tree​

Answers

Answer:

It’s been nice gnawing you

Step-by-step explanation:

Final answer:

While beavers don't 'speak' to trees in human terms, they interact with them by using their teeth to fell trees for food and building materials.

Explanation:

The question, 'what did the beaver say to the tree?', is somewhat humorous due to its anthropomorphic implication of a beaver communicating with a tree in human language. But, from a biological perspective, we could interpret this as asking about the interactions between beavers and trees. Beavers, as known dentition specialists, utilize trees for building dams and lodges and as a source of food. So, if a beaver could 'speak', it might 'tell' the tree that it's hungry, or that it needs materials for its dam. Of course, this is all figuratively speaking.

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4/6 x - 6 = - 24
Solve for X

Answers

Answer:

-27

Step-by-step explanation:

4/6x-6=-24

+6 +6

4/6x=-18

6/4×4/6x=-18×6/4 ->multiply by reciprocal to get rid of x

x=-108/4

x=-27

Simplify 4/6x to 2/3x.
2/3x-6=-24.
Add 6 to both sides. 2/3x=-18.
Multiply both side by 3x. 2=-54x
Then divide both sides by -54x. -2/54=x
Simplify -2/54 to -1/27.
So x=-1/27

Given the following geometric sequence, find the common ratio: {16, 64, 256, ...}.

Answers

Answer:

The common ratio is 4

Step-by-step explanation:

We need to divide a term by the previous term to find the common ratio in a geometric sequence:

64 ÷ 16 = 4

256 ÷ 64 = 4

By doing it twice we can confirm that the common ratio is 4

Given the following geometric sequence, the common ratio would be 4.

Which best describes the function on the graph?

A. direct variation; k = 3
B. direct variation; k = 1/3
C. inverse variation; k = 3
D. inverse variation; k = 1/3

Answers

Answer:A i think

Step-by-step explanation:

Answer:

B. Direct Variation: k = 1/3

Step-by-step explanation:

Your Welcome

What is X plus 11 equals 15

Answers

Do 15-11 and x fill equal what you get

Answer:

X plus 11 equals 15 is 4. X equals 4.

Step-by-step explanation:

X + 11 = 15

4 + 11 = 15

X = 4

to find X you needed to subtract 11 from 15 and what you got would be X

Aaron invest $50 each month for 9 months in an account that pays 7.5% APR compounded monthly. What is the future value of Aaron's account after 9 months?

Answers

Answer: 461.45 APEX

Step-by-step explanation:

Answer:

its is $461.45

Step-by-step explanation:

janice is asked to solve0=64x^2+16x-3 what is x

Answers

Answer:

x=-1/8 or 3/8

Step-by-step explanation:

64x^2+16x-3=0

By Mid term breaking

64x^2-24x+8x-3=0

8x(8x-3)+1(8x-3)=0

(8x+1)(8x-3)=0

Either

8x+1=0 OR 8x-3=0

8x=-1 OR 8x=3

x=-1/8 OR x=3/8

What is the approximate area of the circle shown? Use 3.14 to approximate pi. Round your answer to the nearest hundredth.


Answers

Answer:

[tex]A=153.86\ cm^2[/tex]

Step-by-step explanation:

we know that

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=14/2=7\ cm[/tex] ----> the radius is half the diameter

substitute

[tex]A=(3.14)(7)^{2}=153.86\ cm^2[/tex]

Answer:

C

Step-by-step explanation

THE ANSWER IS C

What is the area of this figure?

Enter your answer in the box

Answers

area of box : 18*18, which is 324

area of larger triangle : 18*16/2 which is 144

area of larger triangle : 8*16/2 which is 64

add them all to get 532
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