Write an equation in the form y=mx for the following situation. Then give the three ordered pairs associated with the equation for x-values of 0, 5, and 10.
x represents the number of hours traveling at 60 mph, and y represents the distance traveled (in miles).
What is the equation?

Answers

Answer 1

Answer:

y = 60x

(0, 0)

(5, 300)

(10, 600)

Step-by-step explanation:

since x is the number of hours, 60 will represent m.

y = 60x.

Plug in x values.

Plug in 0 and get a y of 0.  (0,0)

Plug in 5 and get a y of 300. (5, 300)

Plug in 10 and get a y of 600. (10, 600)


Related Questions

Help me ASAP for this question Sean buys a binder for $12. If tax is 8%, what is the total cost of the binder?
$12.96 $13 $12.80 $12.08

Answers

Answer:

The cost of the binder is 12.96

Step-by-step explanation:

6. Find the product for both sets of polynomials below by multiplying vertically.
A.4x2 - 4x
x*x² - 4
————

B)
x²+x-2
*4x² - 8x
———-

Answers

Answer:

A) [tex]4x^5-4x^4-16x^2+16x[/tex]

B) [tex]4x^4-4x^3-16x^2+16x[/tex]

Also, maybe that vertically means:

A) [tex]4x^2 \cdot x^3[/tex]    and [tex](-4x) \cdot (-4)[/tex]

Resulting in [tex]4x^5+16x[/tex]

B) [tex]x^2 \cdot 4x^2[/tex]    and  [tex]x \cdot (-8x)[/tex]  and [tex]-2 \cdot 0[/tex]

Resulting in [tex]4x^4-8x^2[/tex]

Step-by-step explanation:

It seems that you want to multiply the polynomials in this way: [tex](\text{Polynomial - 1})\cdot(\text{Polynomial - 2})[/tex]

A)

[tex]4x^2-4x[/tex]

[tex]x \cdot x^2 -4[/tex]

[tex](4x^2-4x)(x \cdot x^2 -4)=(4x^2-4x)(x^3 -4)[/tex]

[tex](4x^2-4x)(x^3 -4)\\[/tex]

[tex]4x^5-16x^2-4x^4+16x[/tex]

[tex]4x^5-4x^4-16x^2+16x[/tex]

B)

[tex]x^2+x-2[/tex]

[tex]4x^2-8x[/tex]

[tex](x^2+x-2)(4x^2-8x)[/tex]

[tex]4x^4-8x^3+4x^3-8x^2-8x^2+16x[/tex]

[tex]4x^4-4x^3-16x^2+16x[/tex]

*PLEASE ANSWER ASAP* What is the area of this polygon on a coordinate plane?

Answers

Answer:

A. 14 square units

Step-by-step explanation:

Hey there :)

Well let's find the area of each individual rectangles.

Let's start with the side rectangle.

It has dimensions of 5*1 = 5.

5 square units

Now the 3 rectangles left have dimensions of 3*1=3,

3*3 = 9.

5+9=14

14 square units

Answer:

A, 14 square units

Step-by-step explanation:

What I would do is separate them into 4 shapes like the picture below

Because all of the shapes are rectangles, you can use the formula

[tex]A=L*W[/tex]

For shape #1, the length is 1 and the width is 3. Plot the numbers

[tex]A=1*3[/tex]

Multiply 1 by 3 to get

[tex]A=3[/tex]

The area of shape #1 is 3

The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get

[tex]3*3[/tex]

[tex]9[/tex]

The area of shape #1, 2, and 3 are 9.

Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.

Use the same formula to get

[tex]A=5*1[/tex]

Multiply 5 by 1 to get

[tex]A=5[/tex]

The area of shape #4 is 5

The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9

[tex]A=5+9[/tex]

This gives you your answer which is

[tex]A=14[/tex]

Hope this helps.

Feel free to ask any more questions if you are confused.

Have a great day! :)

Identify the underlined place value.
Glven: 775
The underlined value represents
lao

Answers

Answer:

[see below]

Step-by-step explanation:

There is no underlined numbers. I will do all of them.

In the number '775':

The first 7 is in the hundreds place. It represents the value of '700'.  (775)The second 7 is in the tens place. It represents the value of '70'. (775)5 is in the ones place. It represents the value of '5'. (775)If you add all the values together, you get '775'.

700 + 70 + 5 = 775

Brainilest Appreciated.

Which number is the largest 1.2 x 104, 4.5 x 10–3, 3.8 x 103, 7.5 x 103

Answers

Answer:

The correct answer is the last one, 7.5 x 104. (the sum is 772.5)

Step-by-step explanation:

if you multiply it the sum is 772.5, and all the other ones sum is less than 772.5

I hope this helped (:

HELP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.

Answers

Answer:

29

Step-by-step explanation:

To find the lower quartile you need to split it into 2 by finding the median

Set A: 73, 75, 79, 81, 84, 85

Set B: 47, 49, 51, 51, 55, 56

Now you have to find the median of each

A: 80

B: 51

Lastly, you subtract and get 29

Howard is playing in a high school basketball game that is halfway through the
third quarter.
1) What fractional part of the game is left?
2) If there are 12 minutes of playing time left in the game, how many minutes
of playing time are there in the whole game?
(Please help me solve it)

Answers

Answer:

96 minutes in the whole game or 1 hour and 36 minutes and 1/8 of the game is left.

Step-by-step explanation:

So we know that there are 4 quarters in a game. So if they're halfway through the 3rd quarter with 12 minutes left in the game, that means half a quarter equals 12 minutes. That means a full quarter equals 24 minutes. Then we do 24 *4 which is 96. So there are 96 minutes in the whole game and there 1/8 of the game left since 96/8=12.

Hope this helped

What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.

A. 6.7
B. 7.5
C. 3
D. 12

Answers

Answer: A) 6.7

=================================================

Work Shown:

Use the geometric mean formula to find that BD = 6

BD = geometric mean of AD and DC

BD = sqrt(AD*DC)

BD = sqrt(12*3)

BD = 6

Then use the pythagorean theorem to find the missing side for triangle BCD

a^2+b^2 = c^2

(CD)^2 + (BD)^2 = (BC)^2

3^2 + 6^2 = m^2

m^2 = 45

m = sqrt(45)

m = 6.70820393249937 approximately

m = 6.7 after rounding to one decimal place

Mr. Avogadro started with 5.14x10^22 atoms of Pa-234. Ten days later Mr. Avogadro calculated the original sample had only 6.43 X 10^21 atoms of Pa-234. What's the half life of Pa-234? PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

is 1

step by step explanation:

the answer is 1 hope this helped you!!!!:)

Find the unknown angle measure. A -50° b - 180° c - 220° d - 40°

Answers

Answer:

40 degrees

Step-by-step explanation:

90 degrees + 50 degrees = 140 degrees

there are 3 angles that total at 180 degrees in every  triangle

180 degrees - 140 degrees = 40 degrees

Answer two questions about Equations A and B:
A.
3(2+2) = 18
B.
2 + 2 = 6
1) How can we get Equation B from Equation A?

Answers

Answer:

All you have to do is to divide 3 to both sides in order to get rid of 3 and to get Equation B from A.

At a concession​ stand,three hot dog(s) and two hamburger(s) cost ​$8.25​;two hot dog(s) and three hamburger(s) cost ​$8.00. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog​? $_____

Answers

Answer:

The cost of one hot dog and the cost of one hamburger is $3.25

The cost of one hot dog is $1.75

Step-by-step explanation:

Let the number of hot dogs be represented by d and hamburgers be h

3d + 2h = 8.25 ----- eqn(I)

2d + 3h = 8.00 ----- eqn(II)

From eqn(I): d = (8.25 - 2h)/3

substitute the expression for d into eqn(II)

2d + 3h = 8

2(8.25 - 2h)/3 + 3h = 8

(16.50 - 4h) + 3h(3) = 8(3)

16.50 - 4h + 9h = 24

5h = 24 - 16.50

5h = 7.50

h = 7.50/5 = 1.50

One hamburger costs $1.50

d = (8.25 - 2h)/3 = (8.25 - 2×1.50)/3 = (8.25 - 3.00)/3 = 5.25/3 = 1.75

One hot dog costs $1.75

Cost of one hot dog and cost of one hamburger = $1.75 + $1.50 = $3.25

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?

Answers

Answer:

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

[tex](x,y) = (-4,2)[/tex]

Testing Option A

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

Open Brackets

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

Open Brackets

[tex]-24 + 22 = 2[/tex]

[tex]2 = 2[/tex]

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.

The temperature at noon is -4 degrees Celsius. The temperature at 6:00pm is -12 degrees Celsius. What is the difference between the noon and the 6:00pm temperatures?

Answers

Answer: -8 degrees

Step-by-step explanation: 12-4 is 8 so the difference is -8

Given: F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2
Find FG H(2)
0 121
27
071

Answers

Answer

24

Explanation

The format of the question is convoluted, I will assume you mean:

F(x) = 2x - 4
G(x) = 3x + 2
H(x) = x^2

And you want to find FGH(2) ?

1) To evaluate H(2), substitute
x = 2 into the function H(x) = x^2

H(2) = 2^2 = 4

2) To evaluate G(H(2)) substitute
x = 4 (since this is value obtained from H(2)) into the function
G(x) = 3x + 2

G(4) = 12 + 2 = 14

3) To evaluate F(G(4)) substitute x = 14 into the function F(x) = 2x - 4

F(14) = 28 - 4 = 24

Answer:

FG H(2) = F*G*H(2) = 0

Step-by-step explanation:

Your  F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2 requires a bit of guesswork for the reader to understand it.  I believe you meant:

F(x) = 2x - 4; G(X) = 3x + 2; H(x)=x2 Find FG H(2)

First find F(2):  f(2) = 2(2) - 4 = 0

Because this multiplicand is zero, further multiplication will result in zero also.  Thus, the final answer is zero (0).

A Magic Carpet is 12 feet long and 10 feet wide. However, only the purple part of the Magic Carpet has magic power. If the magic part is 2 feet wide, find the area of the magic part of the Magic Carpet.

Answers

Answer:

24 ft.

Step-by-step explanation:

2x12=24

A company is building a new park in the shape of a circle with a 25 ft diameter. Portions of the new park will be covered with grass. A diagram of the park is given below, with the shaded region representing the areas that will be covered in grass. Use 3.14 for. Note: image is not drawn to scale. The area of the regions covered by grass is approximately sq ft.

Answers

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = [tex]\dfrac{25}{2}=12.5\ ft[/tex]

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = [tex]\pi r^2[/tex]

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = [tex](3.14)(12.5)^2=490.625\ \text{ft}^2[/tex]

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

Yvette likes to increase the distance she runs by 1% each day. If yesterday Yvette ran 10.75km, how much further is she going to run today?

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

The multiplier for 1% would be 1.01

Multiply her distance from yesterday by this value

new distance = 10.75 x 1.01

new distance = 10.8575

I'm assuming you'd want the answer to 2 d.p (however, you can round accordingly if needed otherwise)

Subtract the two values

10.8575 - 10.75 = 0.1075

So, to 2 d.p your answer would be 0.11 km

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

The answer would be 10.8575. Since she runs 1 percent more every day 10.75 times 0.01 would be 0.1075 and you would add that to 10.75 which gives u 10.8575km.
Hope this helps:)

What is the sum of the series *picture attached*

Answers

Answer:

[tex]\sum_{n=4}^{18}(n+1)^2=2440[/tex]

Step-by-step explanation:

Series: [tex]\sum_{n=4}^{18} (n+1)^2[/tex]

Formula :[tex]\sum_{k=m}^n=\sum_{k=1}^n-\sum_{k=1}^{m-1}[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=\sum_{n=1}^{18}(n+1)^2-\sum_{n=1}^{3}(n+1)^2[/tex]

[tex]\sum_{n=1}^{18}(n+1)^2=2469[/tex]

[tex]\sum_{n=1}^{3}(n+1)^2=29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2469-29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2440[/tex]

So, Option C is true

Plz help me 3y+x=7 4x-2y=0

Answers

Answer: 3

Step-by-step explanation:

Type the correct answer in each box. In 2013, the population of the state of New York was approximately 19.65 million, and the population of New York City was 8,406,000. In 2013, how many people in New York state did not live in New York City? The answer in standard notation is______. The answer in scientific notation is p × 10q, where p is_____and q is ____.

Answers

Answer:

The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.

Step-by-step explanation:

Let's answer the question correctly this way:

Population of New York State = 19'650,000

Population of New York City = 8'406,000

Population that do not live in New York City = 19'650,000 - 8'406,000

Population that do not live in New York City = 11'244,000

Population that do not live in New York City in scientific notation = 1.1244 * 10⁷

The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.

Brett is making chocolate bars. He wants to make 35 bars from Monday to Friday. One cocoa pod makes ⅚ of bar. If he harvests the same number of cocoa pods each day, how many cocoa pods should he harvest each day to reach his goal of making 35 bars total from Monday to Friday?

Answers

Answer:

one cocoa pod makes 5/6 bar

to make 35 bars, he needs

35 / (5/6) = 35 * 6/5 = 42 pods

Monday - Friday is 5 days

42/5 = 8.4

Compare 6 ⋅ 108 to 3 ⋅ 106.

Answers

Answer:

6*108>3*106

Step-by-step explanation:

If you multiply 6, and 108, you would get 648.

And if you were to multiply 3 and 106 you would get 318. And 648>318.

Therefore, 6*108>3*106

6*108=648
3*106=318

COMPARE:
648(6*108) is greater than 318(3*106)

hope this helps <3 if you have any questions comment them ;)

What is the value of x? (Use only the digits 0 - 9 and the decimal point, if needed, to write the number.)

x + 12.66 = 18

Answers

Answer: 5.34

Step-by-step explanation: 18 - 12.66 = 5.34

The questions no l and p.
please help me as soon as possible!!!!!​

Answers

Answer:

l = 2cosΘ p = see attachment

Step-by-step explanation:

√2+√2+2cos 4Θ

√2+√2(1 + cos 4Θ)

√2 + √2(2 cos² 2Θ)

√2 + √4 cos² 2Θ                      cos 2Θ = 2 cos²Θ - 1

√2 + 2cos 2Θ

√2(1 + cos 2Θ)

√4cos²Θ

2cosΘ

Answer:

Step-by-step explanation:

I'm only going to do the first one, because the tangent problem is going to give us both night mares.

Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).

cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1

2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2

2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4

(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2

sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2

=====================================

sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS

Leah wants to carpet a room that is 12 feet wide and 15 feet long. Carpeting is sold by the square yard. Find the length and width of the room in yards. Then find the number of square yards needed to carpet the room.

Answers

Answer:

length: 5 yd

width: 4 yd

area: 20 yd^2

Step-by-step explanation:

1 yd = 3 ft

15 ft * (1 yd)/(3 ft) = 5 yd

12 ft * (1 yd)/(3 ft) = 4 yd

A = LW

A = 5 yd * 4 yd = 20 yd^2

Answer:

20 yd²

Step-by-step explanation:

1 yd = 3 ft =>

=>w = 12ft×yd/3ft = 4 yd

=> l = 15ft×yd/3ft = 5 yd

A = l × w

= 5yd × 4yd

= 20 yd²

A number squared added to 16

Answers

Answer:

Sry i dont understand what ur trying to say but if ur asking what number squared will give u 16 its 4

Step-by-step explanation:

Answer:

im pretty sure the answer is 4 but i don't rlly understand the question

Step-by-step explanation:

Can someone please help with this question below!! i’ll put question 18 in another post right now

Answers

Answer: B

Step-by-step explanation:

In an equilateral triangle, altitudes are also medians.  Thus, the bisect their vertex angles.

Hope it helps <3

I am pretty sure that the answer is B

What is the value of log,(5)1252
3
5
15
25

Answers

15 cause u will multiple then divide from each to get a good answer
The answer is 15 first you multiply Daniel divided. <3

What is the measure of ACE in the diagram below?

A. 46
B. 104
C. 29
D. 58

Answers

Answer:

C

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = [tex]\frac{1}{2}[/tex] (AE - BD ) = [tex]\frac{1}{2}[/tex] (104 - 46)° = [tex]\frac{1}{2}[/tex] × 58° = 29° → C

Answer : C
***HOPE THIS HELP YOU***
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