All categories

3 years ago

A rental car agency charges $12 per day plus $.09 per mile to rent a

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

Answer:

The cost of renting will be the same for 200 miles.

Step-by-step explanation:

Let n the number of miles and C be the cost. We can represent the cost equations for each companies:

A: C = 12 + 0.09n

B: C = 8 + 0.11n

They want to know when the cost will be the same, so we can set the above 2 equations equal to each other and solve for n:

12 + 0.09n = 8 + 0.11n

0.02n = 4

n = 200

You might be interested in

Find the measure of each angle indicated.<br><br> Please show your work

wel

Answer:

Um can put a picture or something cause I can't give you answer without a picture

Step-by-step explanation:

6 0

3 years ago

Please send a picture or tell me what to draw to show because I need to show my work too. Thanks

oee [108]

Answer: 81 people attended

Explanation:

Number of adults = 988 / 26 = 38

Number of students = 731 / 17 = 43

Total attendees: 38 + 43 = 81

5 0

3 years ago

Rectangle M was dilated to form rectangle M’. What ratio is the scale factor?

Gemiola [76]

Solution:

we are given that

Rectangle M was dilated to form rectangle M’.

we have been asked to find

What ratio is the scale factor?

we can find the required ratio by dividing the corresponding sides of the given rectangles as below:

$Ratio=\frac{6}{4}=\frac{2}{4/3}\\ \\\\$

$Ratio=\frac{3}{2}=\frac{6}{4} \\ \\ \ Ratio=\frac{3}{2}=\frac{3}{2}\\$

Hence the required ratio is 3/2.

7 0

4 years ago

Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:

hjlf

Answer:

a) 75.62

b) 75.2

Step-by-step explanation:

Data provided:

79.9,75.1,78.2,74.1,73.9,75.0,77.6,77.3,73.8,74.6,75.5,74.0,74.7,75.9,72.6,73.8,74.2,78.1,75.4,76.3,75.3,76.2,74.9,78.0,75.1,76.8

Sum = 1966.3

Total number of observations, n = 26

a) Mean is given as:

Mean = $\frac{\textup{Sum of all observations}}{\textup{Total number of observations}}$

Mean = $\frac{\textup{1966.3}}{\textup{26}}$

Mean = 75.62

b) For value that separates the weakest 50% of the connectors i.e median or the 50th percentile

Arranging the data in ascending order:

72.6, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75, 75.1, 75.1, 75.3, 75.4, 75.5, 75.9, 76.2, 76.3, 76.8, 77.3, 77.6, 78, 78.1, 78.2, 79.9

i = $\frac{\textup{n}}{\textup{2}}$

i = $\frac{\textup{26}}{\textup{2}}$ = 13

When the number of observations is even the formula for median is:

$Median = \frac{\frac{n}{2}+\frac{n+2}{2}}{2}$

$Median = \frac{\frac{26}{2}+\frac{26+2}{2}}{2}$

$Median = \frac{13th+14th}{2}$

$Median = \frac{75.1+75.3}{2}$

Median = 75.2

7 0

3 years ago

Solve the following quadratic equations by extracting square roots.Answer the questions that follow.

Vikentia [17]

Answer:

1. x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16

Taking square root on both sides

$\sqrt{x^2}=\sqrt{16}\\\sqrt{x^2}=\sqrt{(4)^2}\\$

x=±4

2. t^2=81

Taking square root on both sides

$\sqrt{t^2}=\sqrt{81}\\\sqrt{t^2}=\sqrt{(9)^2}$

t=±9

3. r^2-100=0

$r^{2}-100=0\\r^2 =100\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{100}\\\sqrt{r^2}=\sqrt{(10)^2}$

r=±10

4. x²-144=0

x²=144

Taking square root on both sides

$\sqrt{x^2}=\sqrt{144}\\\sqrt{x^2}=\sqrt{(12)^2}$

x=±12

5. 2s²=50

$\frac{2s^2}{2} =\frac{50}{2}\\s^2=25\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{s^2}=\sqrt{25}\\\sqrt{s^2}=\sqrt{(5)^2}$

s=±5 ..

4 0

3 years ago

Read 2 more answers