Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the table to answer the following questions.
Time (hours) Distance (miles)
2 90
3 135
5 225
6 270
1. Find the constant of proportionality.

2. Use the constant of proportionality to write a unit rate for the data in the table.

3. Write an equation to represent the relationship between time, t, and distance, d.

Can you please do step by step showing us how you got the answers?

Answers

Answer 1

Answer:

1. Time (hours): 1     Distance (miles): 45

2. 1;45

  2;90

  3;135

  4;180

  5;225

  6;270

3. (c= constant of proportionality)

c= [tex]\frac{distance}{time}[/tex]

c=[tex]\frac{90 miles}{2 hours}[/tex]

c= 45 miles per hour

Step-by-step explanation:

So you may see for each hour they are going 45 miles by dividing 2 by 2 and 90 by 2, so there constant of proportionality is 45 miles per hour. (answer 3 is the step by step)


Related Questions

Brainliestt help please

Find a common denominator and then subtract and simplify your answer.

8/9 - 2/3

A.4/9
B.3/9
C.2/9

Answers

c. 2/9 is the answer too the question

Answer:

c 2/9

Step-by-step explanation

According to the frequency table, what is the mean of the score?
Round your answer to the nearest tenth.

A) 6.0
B) 6.1
C) 6.2
D) 6.3

Answers

A) 6.0

I hope this is right

The mean of the scores is approximately 6.2. The correct answer is (C).

What is arithmetic mean?

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

To calculate the mean of the scores based on the given frequency table, we need to multiply each score by its corresponding frequency, sum up the results, and then divide by the total frequency.

Let's perform the calculations:

(1 x 1) + (2 x 1) + (3 x 3) + (4 x 1) + (5 x 4) + (6 x 5) + (7 x 6) + (8 x 5) + (9 x 3) + (10 x 1) = 167

1 + 2 + 9 + 4 + 20 + 30 + 42 + 40 + 27 + 10 = 185

The total frequency is 1 + 1 + 3 + 1 + 4 + 5 + 6 + 5 + 3 + 1 = 30

Now, we divide the sum (185) by the total frequency (30) to find the mean:

185 / 30 = 6.1667

Rounding this value to the nearest tenth, the mean of the scores is approximately 6.2.

Therefore, the answer is C) 6.2.

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solve each equation


39 points !!!

Answers

Answer:

a) 25

b) 55

c) 63

Step-by-step explanation:

Complementary angles add up to 90.

90-65=25

Supplementary angles add up to 180.

180-125=55

Vertical angles are equal.

a.90-65=25

b. 180-125=55

c. 180-63=117

Helpp me pls I'm struggling

Answers

Answer:

B. 2nd Play and B. 2nd Play

Step-by-step explanation:

#1) Going negative means going backwards.

-8<10.5

#2) Absolute value means making all numbers INSIDE the two lines positive.

I-8I = 8

I10.5I = 10.5

B. 2nd play the first play list them yard because it’s a negative

PLEAAAAAAAAAAAASEEEEEEEEEEEEE HELP!!!!!!!!! | In your own words, describe when you should use area, and when you should use volume in calculating the amount of space an object occupies.

Answers

If you plan on using area you’d use it for measurements of a room or a farm to figure out how many square feet it is. When using volume you’re figuring out how much of something can fit in that something. for example, you’d need to find the volume of a popcorn bucket in order to find out how much popcorn can fit without overfilling

The amount of space an object occupies is known as volume.

What is the area?

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

What is the volume?

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The amount of space an object occupies is known as volume.

More about the volume and area link is given below.

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What does ! mean in a math problem?

Answers

Answer:

Factorial

Step-by-step explanation:

Factorial: Denoted by the exclamation mark (!). Factorial means to multiply by decreasing positive integers. For example, 5! = 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 120.

Hope this helped you<33

ok finally the answer was

(!). 4! simply means that we are taking the product of 4×3×2×1. See some examples below: 1! = 1 2! = 2×1 = 2

Uhm does anyone know the answers?

Answers

A B E

.

..

.

.

.

.

...

.

.

..

.

.

.

.

..

Answer:

Use the FOIL Method

Step-by-step explanation:

A: 5.9a + 2.2b

B: 5.9a + 5.6b

C: 5.9a - 5.6b

D: 5.6b - 5.9a

E: 5.9a - 5.6b (This is it’s simplest form)

So as you can C and E are equalivalent, so these are your answers.

Mark me brainliest if this was correct :)

Can someone help me “Write a story problem to represent 1/4 divided by 5”

Answers

Answer:

Below

Step-by-step explanation:

Just made it up on the spot :)

Jared invited his friends over for lunch. He bought a pizza and ate 3/4 of it himself before calling his friends. He called Bob, Matombe, Steve, Owen, and Bill. Now, Jared must divide the 1/4 of the pizza into 5 parts for his friends to eat.

Answer:

Step-by-step explanation:

If 1/4 is divided by 5 we can think about it as 1/4 is a quarter of a whole and we need to divide that quarter in 5 equal parts.

Story Problem:

Alexa has 5 more days to finish reading the ELA book assigned by her teacher. She still has to read 1/4 of the book. What fraction of the book she should read on each of the 5 days to ensure she will be done in time?

(1/4 ) / 5 = (1/4) *(1/5) = 1 / 20

If Alexa reads 1/20 of the book each day she will finish the book in 5 days.

H) A bar graph shows the favorite food of 20 people.
Does it make sense to describe the distribution of
these data?
Explain.

Answers

Answer:

No

Step-by-step explanation:

The data is discrete and so there would be nothing to compare in terms of distribution as there are no similarities between the different categories.

The final answer is no

The figure shown is made of two rectangles.

Answers

198 is the answer ok ok ok
B , this is because 14x7 + 3x4 = 110

Please help me with this I would give you 50 points.

Answers

Answers for #5

- s/10

- 8*b

- h+7

- 3*r-8

Question 6

62 miles/hour x 4 hours = 248 miles traveled

1. s/10

2. 8•b

3. 7 > h

4. 8 < 3 • r


5. 248 miles

Why is there a 1/2 in this formula for the area of a trapezoid?

Answers

A simple answer is that any given trapezoid with height h and length of the parallel lines a and b, is half of a parallelogram with an area of (a+b) x h. Since the trapezoid is half of this, it is h(a+b)/2

any answer needed for practice for next subject study

Answers

Answer:

The Stores profit is 70% or $59.5

How?

The reason is because if it's selling it for 100% of the price, then that means that the store bought it for 85 dollars, and it's selling it for 85 dollars, and that's 0% profit. But because the store has bought it for 100%, and then it's charging another 70% of the price, so the store's profit is 70%.

Now, we find 70% of 85 dollars, which will be the STORE'S PROFIT AMOUNT!

1. Convert percentages into fractions or decimals

For fraction: divide 70 by 100 and remove the % sign.

[tex]{70}\%=\frac{70}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

[tex]{70}\%=0.7[/tex]

2. Multiply the decimal or fraction by the quantity that equals 100%

[tex]100[/tex]%[tex]=85[/tex]

[tex]\frac{70}{100} *85=0.7*85=59.5[/tex]

70% of 85 is 59.5Store's profit is $59.5

Extra info:

170% of 85 = 144.5

70% of 85 = 59.5

A company sells speakers for $23 each.

By the end of the week, they had sold $851 worth of speakers.

Which equation could you solve to find the number of speakers the company sold?

Answers

Answer:

You would divide.

Step-by-step explanation:

$851÷ $23= 37

28 points + brainly its 12:41 im taking the question down at 12:46
so hurry pls

Answers

Answer:

(2,6). (4,12). (5,15). (7,21)

Step-by-step explanation:

As the x axis has time, all the points on the time column are across.

As the y axis has distance, all the points on the column are up.

Co-ord 1:

(2,6)

Co-ord 2:

(4,12)

Co-ord 3:

(5,15)

Co-ord 4:

(7,21)

Answer :

(2,6). (4,12) (5,15) (7,21

question: the solutions of a quadratic equation are x=-7 and 5. which could represent the quadratic equation and why?

Answers

Answer:

B) x²+2x-35=0; the factors are (x+7)(x-5)

Step-by-step explanation:

The quadratic equation which has the solutions as x = -7 and 5 may be x² + 2x - 35 = 0, the factors are (x + 7) and (x - 5) and (x + 7)(x - 5) = x² + 2x - 35.

What are Quadratic Equations?

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given that,

a quadratic equation has the solutions x = -7 and 5.

There are two options, x² + 2x - 35 and x² - 2x - 35

Using the factorization method, a quadratic equation ax² + b x + c = 0 can be factored as (x + p)(x + q) where pq = c/a and p + q = b/a.

Consider, x² + 2x - 35 = 0

There are numbers 7 and -5 that 7 - 5 = 2 and 7 × -5 = -35

So it can factored as,

(x + 7) (x - 5) = 0

Solutions are x = -7 and x = 5

Hence the quadratic equation is x² + 2x - 35 = 0.

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Joey puts 32 inches of icing around the edge of a round cake. What is the diameter of the cake to the nearest whole number?

Answers

We suppose that Joey forms an encasing ring around the round cake, basically going through the entire circumference of the round cake.

As circumference is

the answer to this, i don’t understand it

Answers

answer:
9.2

Step-by-step explanation:
Since it is a right triangle, you can use the Pythagorean theorem to find the third side which is the hypotenuse.

a^2 + b^2 = c^2
7^2 + 6^2 = c^2
49 + 36 = c^2
85 = c^2
9.219 = C
So, the answer rounded to the nearest tenth would be: 9.2


Answer: the answer should be 9.22

Step-by-step explanation:

the formula is a^2 +b^=c ^

So 49 plus 36 equals 85

And the square root of 85 is 9.22

PLEASE HELLLP i will give you brainiest points and everything!!!!

Answers

Answer:

A = 8cm

B = 11cm

C = 4cm

D = 4cm

(b)

11x4=32

11x4=32

8x11=88

8x11=88

88+88+32+32=240  (i think)

(c)

240

8x4=32

8x4=32

240+32+32=302

Step-by-step explanation:

A=8cm

B=11cm

C=4cm

D=4cm


b)

11x4=44

11x4=44

8x11=88

8x11=88


88+88+44+44=264 ( Im sure)

c)

264

8x4=32

8x4=32

Find the real solution(s) of the following equation. t3 = 343​

Answers

i don't really understand your question, maybe there is more too it, than just that, i don't think i answered it completely, but i hope this help!

Answer:

T = 340 3 = 3 / T + 3 = 340

Step-by-step explanation:

"T" will be used as a variable, and to find out what "T" equals, we need to take the answer of the problem and take away "3", 343 - 3 = 340

"T" = "340"

T + 3 = 340

Not Verified!

If you mean T^3 than t=7. Otherwise t=114.333333

What is the slant height, s, of the triangular prism?
Round your answer to the nearest tenth.
Image below

Answers

Step-by-step explanation:

there is a right angled triangle.

25+4 = 29 = slant ht^2

h = 5.38 units

Harper wants to put wood shavings in her rabbit's cage. The floor of the cage measures 1 yard wide by 6 feet long. One bag of shavings cover 10 square feet.

How many bags will Harper have to buy to cover the floor of the cage? Explain

Harper will have to buy _____ bag(s) to cover the floor because the area of the floor is _____ square foot/feet.

Help please ​:-(

Answers

Answer:

she would need 2 bags because it is 18 but covers 10 square feet

Step-by-step explanation:

Width = 1 yard = 3 feet

Length = 6 feet

Square feet(area) of the floor = 6ft × 3ft = 18sqft

1 bag = 10sqft

x bag = 18 sqft

x bags = (18 × 1)/10

= 1.8 bags

2 bags

2 bags!! hope this helped :)

please help! I will give brainliest


The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points—1 point for each length calculation and 1 point for the total distance)


Is the value you just wrote for the total length of the walkway a rational or irrational number? Explain. (2 points)

Answers

Answer:

1) The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds

2) 50.24 is a rational number

Step-by-step explanation:

1) To calculate the length of the walkway, you need to find "b"

the value of b using the Pythagoras theorem can be written as,

D²=12²+b²

15²=12²+b²

225=144+b²

b²=81

b=9

the value of each of the four hypotenuses can be written as,

A = [tex]\sqrt{12^2+8^2}[/tex] = [tex]\sqrt{208}[/tex] = 14.422

B = [tex]\sqrt{6^{2} +8^{2} }[/tex] = [tex]\sqrt{100}[/tex] = 10

C = [tex]\sqrt{6^2+9^2}[/tex] = [tex]\sqrt{117}[/tex] = 10.82

D = 15

Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,

14.422 + 10 + 10.82 + 15 = 50.24

So, the entire walkway to the nearest hundredth is 50.24

2) Because Irrational numbers are ones that never end.

50.24 is a nice, round number, even though its a decimal.

Answer:

50.24 - rational number

Step-by-step explanation:

Select the correct expressions.
Which expressions are equivalent to 3x + 2(x − 1) − 4?

Answers

Answer: [tex]5x-6[/tex] and  [tex]3x+2x-2-4[/tex]

Step-by-step explanation:

[tex]3x+2(x-1)-4[/tex]

[tex]Simplify[/tex], [tex]Evaluate[/tex], [tex]andFactor[/tex] [tex]the[/tex] [tex]expression[/tex].

[tex]add[/tex] [tex]the[/tex] [tex]similar-terms[/tex] [tex](3x[/tex] [tex]can[/tex] [tex]be[/tex] [tex]added[/tex] [tex]with[/tex] [tex]2x[/tex] [tex]and[/tex] [tex]-2[/tex] [tex]can[/tex] [tex]be[/tex] [tex]added[/tex] [tex]with[/tex] [tex]-4):[/tex]  [tex]5x-6[/tex] is correct!

[tex]Destroy[/tex] [tex]the[/tex] [tex]parenthesis[/tex] [tex]applying[/tex] [tex]applying[/tex] [tex]property[/tex] [tex]which[/tex] [tex]would[/tex] [tex]make[/tex]:[tex]3x+2x-2-4[/tex] [tex]the[/tex] [tex]correct[/tex] [tex]option[/tex].

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Answer:

First and the second

Step-by-step explanation:

3x + 2(x − 1) − 4

3x + 2x-2-4  5x-6

It is being simplified so both of the equations are equivelent to 3x +2(x-1)-4

Which of the following numbers is prime?

12
15
7
6

Answers

Answer:

7

Step-by-step explanation:

A prime number is a number which has no factors other than itself and 1. In other words, this number can only be divided by itself and 1 and result in a whole number answer. All of the other choices can be divided by some other numbers and result in a whole number answer.

Factors of 12:

1, 2, 3, 4, 6, 12

Facotrs of 15:

1, 3, 5, 15

Facotrs of 7:

1, 7

Factors of 6:

1, 2, 3, 6

Answer:

The number (7) is a prime number.

What are prime and composite numbers?Prime numbers are such numbers that should have two factors, one and the number itself. An example of a prime number could be "2".

Factors of 2: 1 and 2 (Verifies the above definition)

Composite numbers are such numbers that have more than two factors. An example of a composite number could be 4.

Factors of 4: 1, 2 and 4 (Verifies the above definition)

Option A

Given number: 12

Let's list the factors of this number.

⇒ Factors of 12:  1, 2, 3, 4, 6, 12

The number provided is not a prime number because the number has more than two factors. Therefore, Option A is not correct.

Option B

Given number: 15

Let's list the factors of this number.

⇒ Factors of 15:  1, 3, 5, 15

The number provided is not a prime number because the number has more than two factors. Therefore, Option B is not correct.

Option C

Given number: 7

Let's list the factors of this number.

⇒ Factors of 7:  1 and 7

The number provided is a prime number because the number has exactly two factors. Therefore, Option C is correct.

Option D

Given number: 6

Let's list the factors of this number.

⇒ Factors of 6:  1, 2, 3, and 6

The number provided is not a prime number because the number has more than two factors. Therefore, Option D is not correct.

[tex]\overline{================================================}[/tex]

Learn more about Prime and Composite numbers:

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Vivek is making a perpendicular segment in the middle of segment JR.

First, he drew an arc centered at J.
Then, he used the same radius to draw an arc centered at R.
Next, he found the points where the arcs intersected.

What MUST be true?

Line J R. Point P is above the line and point N is below the line. Arcs centered at J and R go through points P and N.
CLEAR CHECK

P is the same distance from N as J is from R.


PN is equal to JR.


Any point on PN will be equidistant from J and R.


NR is half of JR.

Answers

Answer:

Step-by-step explanation:

The correct answer is :Line J R. Point P is above the line and point N is below the line. Arcs centered at J and R go through points P and N.

step by step explanations get brainliest. i dont understand how to do it and i need an explanation.

Answers

Answer:

[ 22 ]

Step-by-step explanation:

First you gotta add the cubes inside of it to find the volume then the ones outside you have to take them out and slant them then you have to fill the whole thing up and there you go [or you can just add all the numbers together for a easier explanation. ] Sorry if its wrong! ~Bread

Answer:

68 in³

Step-by-step explanation:

To find the volume of the figure, we first need to find the volumes of the 2 triangular prisms and 1 rectangular prism.

Triangular prism

[tex]{\boxed{\text{Volume}= \text{base area ×height}}}[/tex]

The base area here is the area of the triangular face, since it is the face that repeats itself throughout the entire length/height to form the volume of prism.

Base area

= area of triangle

= ½(base)(height)

= ½(2)(3)

= 3 in.

Height= 2 in.

Volume

= 3(2)

= 6 in³

Volume of rectangular prism

Volume

= base area ×height

= length ×breadth ×width

= 14(2)(2)

= 56 in³

Total volume

Volume of figure

= 2(6) +56

= 12 +56

= 68 in³

PLEASE HELP!!! I NEED AN EASY ANSWER!!!

Answers

Answer:
Problem 1: 4 Problem 2: 3,8,13,18,23
Step-by-step explanation:
Problem 1: 50 blue 50 yellow
half of yellow (25) are sprinkled
Half of blue (25) are sprinkled
The other 25 of the yellow have cherries
The other half of the 25 blue have nuts
---------------------------------------------------------------------------
-Every day he collects 5 more than the first time
T=65
5+10+15+20+25=75 so it has to be less than 5
4+9+14+19+24=70
3+8+13+18+23=65
day 1=3
day 2=8
day 3=13
day 4=18
day 5=23


hey someone help me Im asking again cause im impatient and willing to give my life for help also its literally just finding the circumfrence or whatever of a circle so help pretty please

Answers

The area of a circle (in this case the pizza) is πr^2

The area will be 3.14 * 16 = 50.24 feet squared

first one is 14. 2nd is 34.68. and i think the last one would be 50.24

15. The regular price of a massage chair was $550. During a sale, FioN bought the massage chair at a 40% discount. How much did FioN pay for the massage chair?

Answers

Answer:

they paid 220

Step-by-step explanation:

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