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KATRIN_1 [288]
2 years ago
8

Ashley will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $44 and costs an a

dditional $0.12 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.10 per mile driven.
Mathematics
1 answer:
rewona [7]2 years ago
7 0

Answer:

The cheaper one is 44 dollar plan

Step-by-step explanation:

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3x+1 = y 2x+3y = 14<br> please explain the steps if you can as well
Likurg_2 [28]
3x + 1 = y
2x + 3y = 14

To solve this system of equations, we are going to use the substitution method.  Substitution the equation where the variable is isolated into the second equation.  In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.

2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1.  Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14

3 + 1 = y
2 + 3y = 14

4 = y
3y = 2

4 = y
4 = y

The solution to this system of equations is (1, 4).

8 0
3 years ago
Stretch your thinking, solve the story problem. Draw comparison bars. There were 11 hikers here yesterday. There are 4 hikers he
lara [203]
11-4=7 your welcome
6 0
3 years ago
If the graph of f(x)= 3^x is reflected over the x-axis, what is the equation of the new graph?
Lerok [7]

Answer:

  • g(x) = - 3^x

Step-by-step explanation:

<u>Reflection over x-axis results in:</u>

  • f(x) → - f(x) translation

<u>Therefore the new function is:</u>

  • g(x) = - 3^x
8 0
2 years ago
Read 2 more answers
The cylinder shown has a volume of 150 cubic inches and its height is equal to its
harina [27]

Answer:

Volume of sphere = 200 in³

Step-by-step explanation:

Given:

Volume of cylinder = 150 in³

Height = Radius

Radius of cylinder = Radius of sphere

Find:

Volume of sphere = ?

Computation:

Volume\ of\ cylinder = \pi r^2h\\\\Given\ r=h\\\\So, \\\\Volume\ of\ cylinder = \pi r^2r\\\\150 = \pi r^3\\\\

Volume\ of\ sphere =\frac{4}{3} \pi r^3\\\\We\ know \ that , \pi r^3 = 150\\\\ Volume\ of\ sphere =\frac{4}{3} \times 150\\\\Volume\ of\ sphere =200

Volume of sphere = 200 in³

7 0
2 years ago
How to get the answer.
Anna007 [38]

9514 1404 393

Answer:

  1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625

Step-by-step explanation:

An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...

  1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05

This multiplication expression is evaluated in the usual way.

  = 1.1025 × 1.05 × 1.05 × 1.05

  = 1.157625 × 1.05 × 1.05

  = 1.21550625 × 1.05

  = 1.2762815625

__

All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is \displaystyle \boxed{y^x}. The particulars of the function of this button can be found in the manual for your calculator.

For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)

6 0
2 years ago
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