A resort hotel rents
bicycles for $20 plus an hourly rate of $6. A
nearby hotel rents bicycles for $15 plus an hourly
rate of $8.
Which equation can be used to determine h, the
number of hours it will take for the cost of renting
a bicycle at both hotels to be the same?

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

Answer:

Should be 70 since <B is also 70

Step-by-step explanation:

Going by the diagram, you just read the value of x. The value of y requires a little bit of calculation.  x=70 degree

Step-by-step explanation: Step One

Find x

You just read the value.

x is the same as the 70 degree angle. That comes about from parallel lines.

x = 70 degrees. <<<< answer

Step Two

Find y  

All triangles have 180 degrees.

So ABC has 180 degrees.

70 + 50 + <ACB = 180         Combine like terms

120 + <ACB = 180               Subtract 120 from both sides

<ACB = 180 - 120

<ACB = 60

y = <ACB

y = 60 degrees.    <<<< Answer.

hoped this helped :)

Answer:

0 students have a cat and 92 students have a dog

The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The class has a cat and a dog = 9

Has a dog and does not have a cat = 2

Does not have a dog and has a cat = 4

Does not have dog and cat = 5

The total strength of the class is 20

The probability that a student is chosen randomly from the class has a cat or a dog =  Number of favorable outcomes / total number of outcomes

P(E) = 15 /20

Hence, The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.

Learn more about probability :

https://brainly.com/question/795909

9514 1404 393

Answer:

  7.92

Step-by-step explanation:

The value of x can be found by taking logarithms.

  x·log(2) = log(243)

  x = log(243)/log(2)

  x ≈ 7.9248125...

  x ≈ 7.92

__

A graphing calculator offers a couple of different options for solving the problem.

Answer:

Chapter Three: Calculate Total Countertop Square Footage

To calculate the total square footage (after placing seams) you will need to follow this formula: “L” x “W” / 144 = s.f. (Length times width divided by 144 = square feet).

Answer:

The formula to find a triangle is (L+W)/2

Step-by-step explanation:

Answer:

5,4 km

Step-by-step explanation:

we know the area and the width.

the formula of the area of a parallelogram is

A = length x width

if we substitute the values that we know, we have

23,1 = x * 4,3

to find x we have to divide the two members by 4,3

x = 23,3/4,3 = 5,4 km

x=102°Answer:

x+78=180 supplementary angle

x=180-78=102

Answer:

I'm sure it's already all the way simplified since there are no common terms

I could he wrong but I dont think theres anything more you can do since they are all their own different term

Step-by-step explanation:

for example if it was 7x-2x-1 then you would subtract 7x and 2x and then it would come put to be 5x-1

hope this helped at all

Answer:

h=-7

Step-by-step explanation:

-4(-6h - 7) = 9h + 10h - 7

24h+28=19h-7

Both side -28

24h+28-28=19h-7-29

24h=19h-35

Both side -19h

24h-19h=19h-19h-35

5h=-35

h=-7

Answer:

h = -7

Step-by-step explanation:

-4(-6h-7)= 9h+ 10h-7

24h+ 28=19h-7

-19. -28. -19 -28

5h -35

h= -7

9514 1404 393

Answer:

  20 . . . . value of last equation

  (A, B, C) = (4, 5, 10) or (3 1/3, 6, 12) . . . . values of symbols

Step-by-step explanation:

If we call the symbols, in order of appearance, A, B, C, then the equations are ...

  2AB = 40   ⇒   AB = 20

  2C/B = 4   ⇒   C/B = 2

Multiplying the second equation by the first, we get ...

  (C/B)(AB) = AC = (2)(20) = 40   ⇒   AC = 40

Then the last equation is ...

  (C-B)A = __

  AC -AB = __ = 40 -20 = 20

The value of the last equation is 20.

_____

Per the above, we have AC = 40. The third equation is ...

  (C +3A) = 22

Using the first relation, we have A = 40/C, so the second becomes ...

  C +3(40/C) = 22

  C² -22C +120 = 0

  (C -10)(C -12) = 0

  C = 10 or 12

As you can see, there are two possible solutions for the values of the symbols. The corresponding values of the other variables are ...

  A = 40/C = 4 or 3 1/3

  B = 20/A = C/2 = 5 or 6

The values of the variables are ...

  (A, B, C) = (4, 5, 10) or (3 1/3, 6, 12)  

Answer:

280,000

Step-by-step explanation:

Solve

Given: 100,000 subscribers increases by 2.4% per month

To find: After a year, how much will that be?

First step:

Find the increase of the subscribers per month

100,000 of 2.4%

Set up an equation

2.4/100 × 100,000/1

Cross multiply, cancel zeros in both 100,000 and 100. Which is equal to:

2.4/1 x 1,000/1 =

2,400

Second step: If it increases per month,

then to find the year, find out how many months is in a year:

12 months = 1 year

Now that has been figured out, multiply the result by the result in the first step:

12 × 2400 = 28.800

Therefore, the number of subscribers will be after a year

Answer:

Before Tax Price: $10.00

Sale Tax: 10.00% or $1.00

After Tax Price: $11.00

please heart or brainlyiest

Answer:

Answer option c is correct.

Step-by-step explanation:

385.50 is adding to the amount because it his paycheck. 16.35 is subtracted because it is bing deducted. Then there is the adding amount of 28.75 and 37.35 because of his commission and overtime. When you add it all up, you get 435.25. This whole thing would look like this in equation format:

385.50 +(-16.35) + 28.75 + 37.35 = 435.25.

The 4th one? i think im not sure tho

Step-by-step explanation: The correct answer is A: O Aziza's claim is not correct. The third side must be between 4 in. and 26 in.

Answer:x=2,5

Step-by-step explanation:

sqrtx-1=x-3. Sqrt5-1=5-3

sqrt2-1=2-3. Sqrt4=

sqrt1=1. 2=2

1=1

Answer:

10,13 and 16

Step-by-step explanation:

Step-by-step explanation:

There are a total of 8 cards, you are picking only one card,

therefore P(5) =

[tex] \frac{1}{8} \times 100 \\ = \frac{100}{8} \\ = 12.5percent[/tex]

Answer:

I think that's right. But the angle in the corner actually might be the 28 degrees. One sec this question is a little confusing

Step-by-step explanation:

those answers bussin bussin 2 bad u cant have none

Answer:

4.10.99

Step-by-step explanation:

3.14 * 3.5

Answer:

86 i guess

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

please like my answer . brainliest please

Answer:

1/8

Step-by-step explanation:

its easy just count backwards by 2/8 each time

The equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

From the graph:

(10, 60) and (9, 70)

The line equation of best fit:

(y - 70) = (70-60)/(9-10)(x-9)

y - 70 = -10(x-9)

y - 70 = -10x + 90

10x + y = 160

Thus, the equation that best models the data is 10x + y = 160 if the number of defective parts per 10,000 parts produced and points (10, 60) and (9, 70)

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

SA = 208 in²

Step-by-step explanation:

SA = 2(2)(7) + 2(2)(10) + 2(10)(7) = 208 in²

Answer:

208 in^2

Step-by-step explanation:

SA: 2(w · l + h · l + h · w)       formula

SA: 2(2 · 7 + 10 · 7 + 10 · 2)      plug the numbers in- w: width, l: length, h: height

SA: 2(14 + 70 + 20)          find area of 3 sides with different areas

SA: 28 + 140 + 40       doubling

SA: 208       final answer