The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat rental fee for the week, plus a charge for each mile driven. The Yu's drove 222 miles; their car cost $110.30 for the week. The Sainz's drove 147 miles; their car cost $99.05. What is the linear equation that represents the cost of a rental car? Round to the nearest hundredth

well, 7+5=12, so he has 5 pencils, then you add 3, which gives you 15. So

Don has 15 markers

Answer:

Don have 15 markers.

Step-by-step explanation:

Don has 5 more pencils than crayons.

Let the number of crayons Don has = 7

number of pencils he has = 5 + 7 = 12

Don has 3 more markers than pencils.

Number of markers Don has = 3 + 12 = 15 markers

Don have 15 markers.

Cost Carlos 3 dollars per avocodo

If we have $2 left then that means we used $18 dollars on the avocados.

All we have to do is divide $18 dollars by 6 avocados.

$18 / 6 = 3

So each avocado was $3

GOOD LUCK :)

Answer:

11:9

Step-by-step explanation:

Simply reduce the two numbers

22 over 18 is equivalent to 11 over 9 when you reduce by 2

The answer would be

H. 30

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3 feet is equivalent to 36 inches. So it starts as a 36-inch diameter.

Then it need to hang down another 5 inches. 36 + 5 = 41. Then he will need another inch to sew down all the way around so that becomes 41 + 1 = 42. 42 inches in diameter.

The table cloth needs to be 42 inches in diameter.

Answer:

a) Parallel when a = -2/3

b) Perpendicular when a = 6

Explanation:

a)  For two parallel lines slopes are equal.

  So, 6y=−2x+4 and 2y=ax−5 parallel if they are slopes equal.

  Slope of 6y=−2x+4, comparing with y = mx + c

     So, m = -2/6 = =-1/3

  For 6y=−2x+4 and 2y=ax−5 to b parallel we have slope of 2y=ax−5 equal to -1/3

   Slope of 2y=ax−5

           m = a/2

    We have a/2 = -1/3

                    a = -2/3

b) For perpendicular lines product of slope is -1.

   So we have

               [tex]\frac{a}{2} *\frac{-1}{3} =-1\\ \\ a=6[/tex]    

The value of 'a' that would make the graphs of the equations 6y = -2x + 4 and 2y = ax - 5 parallel is -1/3. Meanwhile, the value of 'a' that would make them perpendicular is 3.

The question you've asked is about finding the values of a for which two graphs represented by the equations 6y = -2x + 4 and 2y = ax - 5 are either parallel or perpendicular. To solve this, we need to understand and apply the concept of slope in straight-line equations.

Firstly, rewrite the given equations in the form of y = mx + b, where m is the slope. For the first equation, it becomes y = -1/3x + 2/3, so the slope is -1/3.

Parallel lines have the same slope. Therefore, the value of 'a' for the second equation to be parallel with the first needs to be -1/3. Conversely, perpendicular lines have slopes that multiply to -1. Thus, for the second line to be perpendicular to the first, 'a' would have to be the negative reciprocal of -1/3, which is 3.

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Answer:

37.5%

Step-by-step explanation:

subtract 80 by 50 to find the increase of money

80-50=30

then divide the number you got by the increase of price Wich is 80

30÷80=0.375

then multiply 0.375 by 100 to put it in percentage form

0.375x100=37.5%

In order to find the shaded region the first thing you have to do is find the area of the two small triangles, then find the area of the big triangle. Subtract the area of the small triangles from the big one and that is the area.

Step one: 11×12=132

Step two: 132÷2= 66

Step three: 66+66=132 (because there is two small triangles with same dimensions)

Step four: 40×15=300

Step five: 300-132=168

Answer 168m^2

The answer would be C since 3.00 would be the initial cost and 5 would be the hourly rate, with x being the amount of hours the car is in the parking lot.

The answer is C. In this situation, slope means the rate of change of the cost of parking in the lot is 5 dollar per hour.

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. That means the change in y due to change in x.

In an equation, y = mx + c, slope is m.

Learn more about slope here

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The given equation is :

[tex]x^3-9x^2+5x-45[/tex]

Take out GCF from the first pair and the second pair

[tex]x^2(x-9)+5(x-9)[/tex]

Now (x-9) is common so

[tex](x-9)(x^2+5)[/tex]

different tire treads - independent

braking distance- dependent

car - constant

-2/3 x -1/4 = 1/6

Hope I helped!

Good Luck!

these both are negatives so the become positives:

[tex]\frac{2}{3}[/tex] x [tex]\frac{1}{4}[/tex]

Multiply them normally from left to right:

[tex]\frac{2}{12}[/tex]

Simplify.

Final answer: [tex]\frac{1}{6}[/tex]

hope that helps :)

Answer: y = 13.50x + 75

Step-by-step explanation:

13.50 is an hourly wage so it is x.

+ 75 because of the bonus.

Y = the total

So, the equation must be:

Y= 13.50x + 75

Answer: 3 m/s

Step-by-step explanation:

1) the instantaneous speed is the slop at t = 6 secs

2) since its a straight line, the slop of the line is the speed and its constant.

the slope is approximately 3 m/s.

20|

15|                          |

10|                          |    d = 15

 5|                           |  

 0|                           |                  

       1   2  3  4   5  6|  7  8    

                   t = 5    

So the formula for speed is

     speed = distance/time

              S = 15/5

              S = 3 m/s

I say left because you have a straight line, i goes through 0,0 and every time it goes over 1 and up by 3.

Domain is the set of x values

so answer is D) {2, 4, 6, 8}

Hope it helps

To find Roy's total frequent flyer miles, add his current miles (10,368), the miles he'll earn from his trip to New York (2,832) and the miles he'll earn from his credit card spending (2 miles per dollar spent). The final expression for total miles is 13,200 + 2d where 'd' is the amount spent using the credit card.

Roy's total frequent flyer miles can be calculated by adding his existing miles, his incoming miles from his trip to New York, and the miles gained from using his credit card. Let's assume he spends 'd' dollars using his credit card.

Firstly, we combine the miles he already has and those he will earn from his round trip: 10,368 miles + 2,832 miles = 13,200 miles.

Secondly, we consider his credit card earnings. As he gains 2 miles per dollar spent, he will earn '2d' miles from his credit card spendings.

Finally, we add these together to get the total frequent flyer miles he will have: 13,200 miles + 2d miles. Therefore, the total miles that Roy will have depends on the amount 'd' he spends on his credit card.

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8 lbs 3 oz + 4 * 5 oz  

8 lbs 3 oz + 20 oz

8lbs 23 oz     there are 16 oz in a lb   (23-16 = 7)

8 lbs + ( 1 lbs 7 oz)

9 lbs 7 oz

Answer:

Step-by-step explanation:

9 pounds, 7 ounces

[tex]y=\dfrac{1}{x-2}=(x-2)^{-1}\\\\\text{use}\ (x^n)'=nx^{n-1}\ and\ f'(g(x))=f'(g(x))\cdot g'(x)\\\\y'=\left[(x-2)^{-1}\right]'=-1(x-2)^{-2}\cdot(x-2)'=-(x-2)^{-2}\cdot1=-\dfrac{1}{(x-2)^2}[/tex]

i got 4.225

so hope that helps a little!

The answer is 4.225. I also included my work

9/20 is your answer hope this helps

Put this in a calculator 7/13 + 2/7 it equals 9/20 because the denominator is not equal so it doesn’t stay the same

Answer:

[tex]m = \frac{70 - 45}{12 - 6} = \frac{25}{6} [/tex]

The temperature increases 25 degrees every 6 hours, or 4 1/6 degrees/hour.

Answer:

65.45

Step-by-step explanation:

you do 3.14*5^2*2.5/3

Answer:

65.42

The other answer was close, but missed some steps. Rounded up the answer is 65.42

The answer you want

The answer you want is right around (0,0). Just follow the x axis. Go by colors. The pink color is x>0 not including 0

The light blue is x <= 3

Where they intersect is a very dark blue.

x=  10.43398113 ,  -8.43398113

Answer:

Rhea makes $2295 every month.

Step-by-step explanation:

In order to find this, we have to note that one-third of her salary is equal to $765. Give that fact, we know multiplying her rent total by 3 would give us the total salary.

$765 * 3 = $2295

$110.30

I took 125.99 x 3% or .03 which equaled 3.7767.

Then i added it to 125.99 and it equaled 129.7767

then i used a calculator online to finish the problem