e
A charter
4.5 hours
distance traveled is directly
Assume the
proportional to the time spent.
Write a direct variation equation.
1b

Answers

Answer 1

Question:

A charter bus travels 225 miles in  4.5 hours. Assume the  distance travelled is directly  proportional to the time spent.

Write a direct variation equation.

Answer:

[tex]y = 50x[/tex]

Step-by-step explanation:

Let:

y =  distance

x = time

So:

[tex]y = 225[/tex]  and [tex]x = 4.5[/tex]

Since, they are directly proportional: The following relationship exists

[tex]y = kx[/tex]

Where

k = constant of variation

Substitute values for y and x

[tex]225 = 4.5 * k[/tex]

Make x the subject

[tex]k = \frac{225}{4.5}[/tex]

[tex]k = 50[/tex]

Substitute 50 for k in [tex]y = kx[/tex]

[tex]y = 50x[/tex]


Related Questions

96/100 simplified if it can be

Answers

Answer:

24/25

Step-by-step explanation:

24/25 is 96/100 in simplest form.

PLZ HELP ASAP I HAVE LISTED SCREENSHOT BELOW I NEED ANSWER FAST

Answers

Answer:

i think its D

Step-by-step explanation:

The amount she wants to donate is 593, and she has 418 already so subtract that from 593 to get 175, and divide that 175 by 12.50 to get 14 days, and the solid circle means greater than or equal to 14, so it should be D.

Which system of linear equations has the ordered pair (-2,8) as its solution?
Oy - 2x = 12 and x - 2y = -18
O x – 2y = 12 and y - 2x = -18
Oy + 2x = 12 and x + 2y = -18
O x + 2y = 12 and y + 2x = -18

Answers

Answer:

The solution to the system of linear equations is:

(x, y) = (-2, 8)

Hence, y - 2x = 12 and x - 2y = -18  has the ordered pair (-2,8) as its solution. Thus, option A is correct.

Step-by-step explanation:

Checking the first system of equations

y - 2x = 12

x - 2y = -18

solving the first system of equations

[tex]\begin{bmatrix}y-2x=12\\ x-2y=-18\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}y-2x=12\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y-4x=24[/tex]

[tex]\begin{bmatrix}2y-4x=24\\ -2y+x=-18\end{bmatrix}[/tex]

adding the equations

[tex]-2y+x=-18[/tex]

[tex]+[/tex]

[tex]\underline{2y-4x=24}[/tex]

[tex]-3x=6[/tex]

[tex]\begin{bmatrix}2y-4x=24\\ -3x=6\end{bmatrix}[/tex]

solving -3x=6 for x

[tex]-3x=6[/tex]

Divide both sides by -3

[tex]\frac{-3x}{-3}=\frac{6}{-3}[/tex]

Simplify

[tex]x=-2[/tex]

[tex]\mathrm{For\:}2y-4x=24\mathrm{\:plug\:in\:}x=-2[/tex]

[tex]2y-4\left(-2\right)=24[/tex]

[tex]2y+8=24[/tex]

Subtract 8 from both sides

[tex]2y+8-8=24-8[/tex]

Simplify

[tex]2y=16[/tex]

Divide both sides by 2

[tex]\frac{2y}{2}=\frac{16}{2}[/tex]

Simplify

[tex]y=8[/tex]

Therefore, the solution to the system of linear equations is:

(x, y) = (-2, 8)

Hence, y - 2x = 12 and x - 2y = -18  has the ordered pair (-2,8) as its solution. Thus, option A is correct.

Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720 each year for his telephone service. How much does Craig earn each month, in dollars

Answers

Answer: $1200
Explanation:
The amount of telephone bill Craig has to pay each month: $720/12= $60
His earnings each month: $60 x 20 = $1200

solve this .....................​

Answers

Answer:

Step-by-step explanation:  3root5x^2 + 25x - 10root5 = 0

3xroot5 + 25x - 10root5 = 0      [ root x^2 = x]

28x root5 = 10 root5         [ -10root5 turns to 10 root5 when transferred to RHS]

28x root 5/root5 =10

28x=10

x = 10/28

x = 0.35

Hope it helped u,

pls mark as the brainliest

^v^

Y varies with x. When y=39, x=3. Find the value of y when x=2

Answers

Answer:

[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]

26 is the right answer.

a new bank customer with $3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8%....How much interest will the customer earn in 30 years....What will the account balance be after 30 years​

Answers

Answer:

$91,620

Step-by-step explanation:

1.8% = $54

$3000 + $54 = $3054

$3054 × 30 = $91,620

Hope this helped!

Find the value of x.
Pleaseeee helpppp

Answers

Answer:

x = 135°

Step-by-step explanation:

104 + 44 + 77 = 225

360 - 225 = 135

A square has to have 360 degrees, right? SO, all quadrilaterals have to be 360 degrees.

have a good day! :)

X= 135
Because trapezoids equal 360 degrees all together

SOMEONE HELP FAST!
Consider the polynomial -4x+7x^3-5x^2+10
What is the degree of the polynomial? Explain. (1 point)

How many terms are in the polynomial? Explain. (1 point)

Write the polynomial expression in standard form.(

Answers

Answer:

Step-by-step explanation:

first lets put this in standard form to make it easier

[tex]7x^{3}[/tex] - [tex]5x^{2}[/tex] - 4x + 10

this form is the standard form (exponents go from greatest to least)

The degree in this polynomial is the highest exponent

So the degree is 3

There are 4 terms in this equation

7x^3

-5x^2

-4x

and 10

hope this helps <3

What does y equal when y + 12 = -26?

Answers

Answer:

[tex]y + 12 = - 26 \\ y = - 38[/tex]

-38 is the right answer.

HELP !!!! PLEASE BRAINLIST

Answers

it is 11 a.m to 2 p.m
Answer is 11am-2pm !!

At a bake sale, David bought 3 tarts and 5 cookies, and paid $10.50. At the same prices, Lisa bought 4 tarts and 8 cookies, and paid $14.80. What was the price of a tart and the price of a cookie?

Answers

T = Tarts
C = Cookies

David:
3T + 5C = 10.50

Lisa:
4T + 8C = 14.80

Setup as system of equations and use substitution or elimination

Elimination is easier for this case but either will give you the right answer I worked it both ways

T= cost of tarts = $2.50
C= cost of cookies = $0.60

HELP! ASAP! WILL GIVE BRAINLIEST!!!!!

Answers

Answer: 8 is b, 5 is a, 6 is c, and 7 is b

Step-by-step explanation:

6 - 2 4/7 = ?

answer asap

Answers

Answer: 3 3/7

Step-by-step explanation:

6 - 2 4/7

6 is the same thing as 5 7/7

5 7/7 - 2 4/7 = 3 3/7

Melba buys 15 shirts for a total of
$60. Express this as an equation,
using 'x' as the cost of each shirt.
Then, solve the equation for the
value of 'x'.

Answers

Answer:

x = 4

Step-by-step explanation:

We need to divide:

(total cost) ÷ (number of shirts) = (cost per shirt)

$60 ÷ 15 = 4

15x=60

X=4

There you go!

Help!!!!!! Please and thanks

Answers

Answer:

HI I am back thanks for zooming in I would say your answer would be D sorry if i am wrong but that should be correct I am 98% sure. Plz let me know if it is correct or not! (Brainliest Plz)

Step-by-step explanation:

(PLz give me Brainliest)

may someone help me with this equation, please
95=20x + 5

Answers

Answer:

The answer is 9/2 or decimal form is 4.5 i gave you the work in the screenshot below hope it helps :)

Step-by-step explanation:

One less than three times a number

Answers

Answer: 3n - 1

Step-by-step explanation:

n = the number

3n - 1

One less is subtracting one.

Answer:

[tex]1-3[/tex]n

Step-by-step explanation:

One less 3 times a number.

1 less is 1-.

3 times a number would be 3n.

So, we get

[tex]1-3n[/tex]

help pls and thank u

Answers

Answer:

7

Step-by-step explanation:

Use the graph of the line to predict how many days
Beau needs to play Jars of Jupiter to win 300 trophies.
Input the value. Then click done.
Beau's Trophies from Playing Jars of Jupiter
320
300
280
260
240
220
200
Total Number of Trophies Won
180
160
140
120
100
Beau needs to play
? days to win
300 trophies.
80
✓ DONE
60
40
20-
0
0 1 2
6 7 8 9 10 11 12 13 14 15
Number of Days

Answers

Answer:

He should play for 12 days

Step-by-step explanation:

Here are the first 4 terms of a sequence.
3 11 19 27
a) (i) Write down the next term in the sequence.
(ii) Explain how you got your answer.
b) Work out the 10th term of the sequence.

Answers

Answer:

3 11 19 27 35 43 51 59 67 75 83 91 99 107

Step-by-step explanation:

keep on adding 8 to each number to get your next number

the tenth term is 107

hope this helps!!:)

You include 1/2 tablespoon of essential oils in a solution for every 12
tablespoons of jojoba oil. What is the value of the ratio of essential oils to
jojoba oil?

Answers

The required ratio of essential oils to jojoba oil is 1:24.

Given that,
You include 1/2 tablespoon of essential oils in a solution for every 12

tablespoons of jojoba oil.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
tablespoon of essential oils = 1/2
tablespoons of jojoba oil = 12
Ratio = [1 / 2] / 12
Ratio = 1 / [2 × 12]
Ratio = 1 / 24

Thus, the required ratio of essential oils to jojoba oil is 1:24.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

Jason bought 3 shirts that each cost the same. He had a coupon for $10 off and
The spent $65 altogether. Which equation can be used to find the cost of each
shirt?

Answers

3x-10=65
Hope this helps
The answer to this question would be 65 3x6

A number cube has the numbers 1
through 6. It is rolled 48 times.
About how many times would you
expect the number cube to land on
2 or 4?

A 24
B 8
C 16

Answers

Answer:

B.) 8 times

Step-by-step explanation:

you have to expect an equal amount from each #. divide 48 by 6 (because the cube has #s 1-6) that's how you get 8.

fast pls I really want the answer now :D

Answers

I would say choice (c.)

Answer:

B) No Solution

Step-by-step explanation:

The lines must intercept in order to give you an answer. Because the lines are parallel and will never touch each other, there is no solution.

2) 8(x - y); user-5, and y = 2

Answers

Answer:

8(x-y);use x=5,and y=2

8(5 - 2) = 8(3) = 24

answer

24

Step-by-step explanation:

good? Brainliest?

The nth term of a sequence is 2n - 6
a) Work out the first three terms of the sequence.
b) Work out the tenth term of the sequence.

Answers

Answer:

a. first 3 terms: -4, -2, 0, 2

b. 14

Step-by-step explanation:

a. sub in n as 1,2,3,4 for first 4 terms.

b. sub in n=10

please help me please will give brainliest to ​

Answers

Answer:

From left to right,

1. impossible

2. unlikely

3. neither unlikely nor likely

4. likely

5. certain

Step-by-step explanation:

PLEASE PUT THEM IN ORDER :P

Answers

Answer:

Denial stage, personal behavior stressors, self fulfilling need, life situations, acceptance stage

Step-by-step explanation:

Whats the answer? These are the answer choices.

A.The slope of function 1 is 3 greater than the slope of function 2.
B.The slope of function 1 is 9 greater than the slope of function 2.
C.The slope of function 2 is 3 greater than the slope of function 1.
D.The slope of function 2 is 9 greater than the slope of function 1.

Answers

I believe that the correct answer is B