A car renting agency charges a fixed rate of $8 per day plus 8 cents per mile. If a family paid the agency $260 for the use of a car on a 2,450 mile trip, how many days was the car use

9514 1404 393

Answer:

  a. h < 79; w < 295

  b. (h, w) = (60, 280)

  c. yes

Step-by-step explanation:

We can define h and w to represent the height in inches and the weight in pounds. Then the inequalities representing the given restrictions are ...

  h < 79 . . . . . . . . height is less than 6'7"

  w < 295 . . . . . . weight is less than 295 pounds

The graph is attached. The solution space is the area where the solutions to the inequalities overlap.

__

A 5 ft person weighing 280 pounds would meet the given restrictions.

  (h, w) = (60, 280) . . . . is a possible solution

__

  (50, 180) is a solution. The height of 50 inches is less than 79 inches, and the weight of 180 pounds is less than 295 pounds. (A person with these measurements would be quite obese.)

_____

Additional comments

As a practical matter, healthy 18-year-olds will generally have a height greater than 59 inches and a weight greater than 95 pounds. Less than 3% of the population will be shorter or lighter than that.

"Good physical condition" may require a body mass index within a certain range. This will put additional (rather narrow) limits on height and weight. We have only shown inequalities and a graph for the specific conditions listed in the problem statement.

Answer:

Diagnols of a rectangle are always congruent.

Step-by-step explanation:

Answer:

Yes

3 = 2(4) - 5

This is true

Answer:

Yes

Step-by-step explanation:

Since y is 3 and x is 4 plug those into equation

3=2(4)-5

3= 8-5

3=3

Answer:

Slope = -1 .     Parallel lines have the same slope.  The slope is a coefficient of the x-term.

Step-by-step explanation:

y - x = 5

y = x + 5    slope = 1

The slope of the line parallel to the given line is 1.

Slope is a value that describes the steepness and direction of a line. In variable format, it is commonly represented by the letter m.

The slope of a line is also called its gradient or rate of change. The slope formula is the vertical change in y divided by the horizontal change in x, sometimes called rise over run.

Given that the equation of a line y - x = 5, we need to find the slope of the parallel to the same,

Converting the equation in slope-intercept form,

y - x = 5

y = x + 5

Comparing with standard form of the equation of the line y = mx + c, where m is the slope,

Hence, the slope of the given line is 1,

We know that the slopes of the parallel lines are equal.

So, the slope of the asked line is 1.

Hence, the slope of the line parallel to the given line is 1.

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Step-by-step explanation:

9π > 27

π > 27/9

π > 3

Option B

Answer:

x = –10

Step-by-step explanation:

The angles are supplementary

(x + 75) + (x + 125) = 180

Combine like terms

2x + 200 = 180

Subtract 200 from both sides

2x = -20

divide both sides by 2

x = –10

Answer:

x = -10

Step-by-step explanation:

These are known as same-side interior angles and they are supplementary.

[tex]x+125+x+75=180\\\\2x+200=180\\\\2x=-20\\\\x=-10[/tex]

We know that 9/20 dogs are spaniels, so 11/20 of the dogs will not be spaniels. That would be your probability in fraction form, but if you need percentage, remember that you can find percentage of something by multiplying the fraction by 100 and evaluating, so [tex](\frac{11}{20} )*100= 0.55*100= 55[/tex]. So, the percentage of dogs that are not spaniels would be 55%.

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Answer:

50 - 18.99 = 31.01 - 12.49 = 18.52

18.52 + 25 = 43.52$

Miguel's got 43.52$ now.

Answer:

Step-by-step explanation:

The endpoint x value of 8 must be reduced by 5 to get to the mid point x value of 3. We reduce 3 by another 5 to get the opposite end x value of -2

The endpoint y value of -2 must be increased by 12 to get to the mid point y value of 10. We increase 10 by another 12 to get the opposite end y value of 22

(-2, 22) endpoint

So

Common difference

#4

The formula is

Put n=8

Answer:

3)  d = 1.8

4)  a₈ = 66

5)  a)  138  

    b)  55

    c)  [tex]a_n=55n+83[/tex]

Step-by-step explanation:

Question 3

The common difference of an arithmetic sequence is the difference between consecutive terms.

Therefore, to find the common difference, subtract one term from the next:

⇒ d = 5 - 3.2

⇒ d = 1.8

Question 4

Given arithmetic sequence:   [tex]a_n=10n-14[/tex]

To find the 8th term, substitute n = 8 into the equation:

[tex]\implies a_8=10(8)-14[/tex]

[tex]\implies a_8=80-14[/tex]

[tex]\implies a_8=66[/tex]

Question 5

General form of an arithmetic sequence:

  [tex]a_n=a+(n-1)d[/tex]

where:

a)  The first term is the initial amount Mrs Speas has in her bank account:

b) The common difference is the amount she deposits each week:

c) The iterative rule for the amount of money she has after n weeks is:

    [tex]\implies a_n=138+(n-1)55[/tex]

    [tex]\implies a_n=138+55n-55[/tex]

    [tex]\implies a_n=55n+83[/tex]

Answer:

37.65

Step-by-step explanation:

Take 2447.25, divide by 52 (there are 52 weeks in a year) and mutiply by 0.8 (80%), and then you have the answer!

The amount of money deducted from each payback will be $37.65.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Heather's employer pays 80% of her health insurance premium. If the annual premium is $2447.25 and she is paid weekly.

The payment will be calculated as,

Pay = ( 2447.25 / 52 ) x 0.8

Pay = $37.65

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Answer: graph 1:no graph 2:no graph 3: yes graph 4: yes graph 5: no

graph 6: no

Step-by-step explanation:

Answer:

Graph 1 I think is yes because when determining if a function, you do the vertical line test meaning you place an imaginary vertically on the graph and if there is 2 points on the line at once, like for graph 5 or 6, then it isn't a function.

Therefore,

Graph 1: Yes

Graph 2: No

Graph 3: Yes

Graph 4: Yes

Graph 5: No

Graph 6: No

Answer:

45/56=678_78÷65×56+63×568=466

Answer:

5/6

Step-by-step explanation:

1 1/2 - 2/3 =

= 1 3/6 - 4/6

We cannot subtract 4/6 from 3/6, so we borrow the 1 as 6/6 and add it to 3/6 to get 9/6. Now we can subtract 4/6 from 9/6.

= 9/6 - 4/6

= 5/6

Answer:

adc

\Step-by-step explanation:

thanks for ur wait

The graph of the inequality is graph (B)

The inequality is given as:

[tex]5 + 8x < 3(2x + 4)[/tex]

Start by expanding the bracket

[tex]5 + 8x < 6x + 12[/tex]

Next, we collect the like terms

[tex]8x - 6x < 12 - 5[/tex]

Evaluate the like terms

[tex]2x < 7[/tex]

Solve for x

[tex]x < 3.5[/tex]

The above means that, the values of x are less than 3.5

Hence, the inequality is graph (B)

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Answer:30m

Step-by-step explanation:

15m/s x2 is 30m

Answer:

2

Step-by-step explanation:

24*w = 288

w = 288 /24

w = 12

24 ÷ w = 24 ÷ 12 = 2

The ratios are not all equal, we can conclude that the cost of the taxi is not proportional to the number of miles driven.

What is proportional?

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)

To find the cost of hiring a taxi to drive 1, 2, 3, and 4 miles, we can use the formula:

C = 4 + 1.25m

For m = 1, we have:

C = 4 + 1.25(1) = 5.25

For m = 2, we have:

C = 4 + 1.25(2) = 6.5

For m = 3, we have:

C = 4 + 1.25(3) = 7.75

For m = 4, we have:

C = 4 + 1.25(4) = 9

So the table of costs for driving 1, 2, 3, and 4 miles is:

Miles (m) Cost (C)

       1 5.25

       2 6.5

       3 7.75

       4 9

To determine whether the cost of the taxi is proportional to the number of miles driven, we can check whether the ratios of cost to distance are equal. If they are, then the cost is proportional to the number of miles driven.

Let's check the ratios:

C(1)/1 = 5.25/1 = 5.25

C(2)/2 = 6.5/2 = 3.25

C(3)/3 = 7.75/3 = 2.58333...

C(4)/4 = 9/4 = 2.25

Hence, the ratios are not all equal, we can conclude that the cost of the taxi is not proportional to the number of miles driven.

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Answer:

Therefore, the measure of angles x is 70°.

Step-by-step explanation:

From the given figure ,

115° is the exterior angle

x° and 45° are the two interior opposite angles to 115°

We know that

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles

⇛ x° + 45° = 115°

⇛ x° = 115°-45°

⇛ x° = 70°

Therefore , x = 70°

Answer:

hgggy7sid8e6r7r6d66yw7e7e56

Answer:

You will pay $42.50

Step-by-step explanation:

You will pay 50-7.5 which gives you 42.50

Answer:

Y=-5x-1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

substitution

Answer:

Step-by-step explanation:

Addition Property of Equality is:

Apply to the given:

then

Answer:

Thats not the way to give an answer..should write it properly

its just similar to..someone asked your name and you say this is the link and you give him the link of the ppt you made of your name

Answer:

The values of 4 behind the decimal is 4 tenths and ahead of the decimal is 4 hundred.

-NULL

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Step-by-step explanation:

2x-7=5

is it shown numbers

The probability of those telling the truth is an illustration of experimental probability.

The probability that the next person tells the truth is 0.23

The given parameters are:

[tex]\mathbf{n = 100}[/tex] -- sample size

[tex]\mathbf{x = 23}[/tex] -- those telling the truth

So, the probability that the next person tells the truth is:

[tex]\mathbf{Pr = \frac xn}\\\\\\[/tex]

Substitute values for x and n

[tex]\mathbf{Pr = \frac{23}{100}}[/tex]

Divide 23 by 100

[tex]\mathbf{Pr = 0.23}[/tex]

Hence, the probability that the next person tells the truth is 0.23

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