All categories

3 years ago

A car rental company charges an initial fee plus a constant fee per kilometer driven.

Mathematics

1 answer:

leva [86]3 years ago

3 0

Answer:

$120

Step-by-step explanation:

constant fee = (204-183) /(140-105)

= 21/35 = $0.6 per km

so, initial fee =

183 - (105 × 0.6)

= 183 - 63

= 120

You might be interested in

Josie is making pizza dough. Complete the double number line by filling in the missing values

Softa [21]

Answer:

$n = \frac{4}{3}c$

$c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5$

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the double number line

The given double number lines represent a linear function between cups of flour (c) and number of batched (n)

Pick any two pairs:

$(c_1,n_1) = (\frac{3}{4},1)$

$(c_2,n_2) = (3\frac{3}{4},5)$

First, calculate the rate of change (i.e. slope, m):

$m = \frac{n_2 - n_1}{c_2 - c_1}$

$m = \frac{5-1}{3\frac{3}{4} - \frac{3}{4}}$

$m = \frac{4}{3}$

So: the equation is:

$n = m(c - c_1) + n_1$

This gives:

$n = \frac{4}{3}(c - \frac{3}{4}) + 1$

$n = \frac{4}{3}c - 1 + 1$

$n = \frac{4}{3}c$

So, the above represents the relationship between n and c.

<u>To complete the table</u>

When $n = 2$

Substitute $n = 2$ in: $n = \frac{4}{3}c$

$2 = \frac{4}{3}c$

Make c the subject

$c = \frac{3*2}{4}$

$c = \frac{3}{2}$

When $n = 3$

Substitute $n = 3$ in: $n = \frac{4}{3}c$

$3 = \frac{4}{3} * c$

Make c the subject

$c = \frac{3*3}{4}$

$c = \frac{9}{4}$

When $c=3$

Substitute $c=3$ in: $n = \frac{4}{3}c$

$n = \frac{4}{3} * 3$

$n = 4$

So, the complete table is:

$c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5$

4 0

3 years ago

Evaluate the expression (-1/2)^3

Vinil7 [7]

-1/8 is the anwser. Hope this helps!

6 0

2 years ago

Read 2 more answers

1+1 solve it solvesolve it solvesolve it solve

Ymorist [56]

Ummm hmm this is a hard one..... I believe it’s 88?

7 0

2 years ago

Help me with this please

ANEK [815]

The y-intercept appears to be at y=-1. The line appears to also go through grid point (3, 1), which is 2 units up and 3 units over. The slope is 2/3.

In slope-intercept form the equation of the line is
y = (2/3)x - 1

5 0

3 years ago

Find the indicated length or angle measure (to the nearest tenth).

skad [1K]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Explain the formula to use

Using the cosine rule which states that:

$z^2=x^2+y^2-2xy\cos Z$

STEP 2: Write the given sides

$x=4,y=6,Z=41^{\circ},z=?$

STEP 3: Find the value of z

$\begin{gathered} By\text{ substitution,} \\ z^2=4^2+6^2-2(4)(6)\cos41 \\ z^2=16+36-48cos41 \\ z^2=52-36.22605985 \\ z^2=15.77394015 \\ z=\sqrt{15.77394015} \\ z=3.971641997 \\ z\approx4.0 \end{gathered}$

Hence, the indicated length is 4.0

4 0

1 year ago