MATHEMATICS MIDDLE SCHOOL

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

Answers

Answer 1

Answer:

Answer:

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Step-by-step explanation:

Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.

Let flat rental fee be c and cost per mile driven = m and miles driven = x

Total cost =y

Then y = mx+C is the linear equation.

to find m and c, we use the fact that y =110.30 when x = 222

i.e. 110.30 = c+222x

and similarly 99.05 = c+147x

Subtract to eliminate c

11.25 = 75 x

0.15 =x

Substitute in I equation

110.30 = c+222(0.15)

c = 77

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Answer 2

Answer:

Answer:

y=0.15x + 77.00

Step-by-step explanation:

I did it on edge that is the correct answer promise.

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In "Daniel in the Lion's Den," what law do the princes trick the king into signing? A. a law that forces all Israelites to leave the kingdom of Persia for thirty days B. a law that makes it illegal for Israelites to speak to the king C. a law that forbids people from asking anything of anyone other than the king D. a law that requires Daniel to share power and influence with the other princes
What is the factored form of the polynomial? x²+9x+20

There are 120 minutes in 2 hours .how many minutes arethere in 5 hours?

Answers

The answer is 300 you see you do 120 divided by 2 which is 60 then you realize 60 is one hour so multiply 60 times five and there is your answer

Hey there the answer would be 300 minutes

What times what times what = 36

Answers

6 times 6 equals 36 :) :) :)

Answer: 12 x 3

Step-by-step explanation:

Let (-6,-5) be a point on the terminal side of theta Find the exact value of sin theta, csc theta, and cot theta

Answers

Answer:

Part 1) $sin(\theta)=-(5√(61))/(61)$ or $sin(\theta)=-(5)/(√(61))$

Part 2) $csc(\theta)=-(√(61))/(5)$

Part 3) $cot(\theta)=(6)/(5)$

Step-by-step explanation:

we know that

The point (-6,-5) lies on the III Quadrant

sin(theta) is negative

csc(theta) is negative

cot(theta) is positive

Part 1) Find the sine of angle theta

we know that

The function sine is equal to divide the opposite side to the angle theta by the hypotenuse

$sin(\theta)=(y)/(r)$

we have

$x=6\ units,y=5\ units$

Applying the Pythagoras Theorem

$r^(2)=x^(2)+y^(2)$

substitute

$r^(2)=6^(2)+5^(2)$

$r^(2)=61$

$r=√(61)\ units$ -----> the hypotenuse

substitute

$sin(\theta)=(5)/(√(61))$

Simplify

$sin(\theta)=(5√(61))/(61)$

Remember that the sin(theta) is negative

$sin(\theta)=-(5√(61))/(61)$

Part 2) Find the cosecant of angle theta

we know that

The function cosecant is equal to divide the hypotenuse by the opposite side to the angle theta

$csc(\theta)=1/sin(\theta)=(r)/(y)$

we have

$sin(\theta)=-(5)/(√(61))$

$csc(\theta)=-(√(61))/(5)$

Part 3) Find the cotangent of angle theta

we know that

The function cotangent is equal to divide the adjacent side to the angle theta by the opposite side to the angle theta

$cot(\theta)=(x)/(y)$

we have

$x=6\ units,y=5\ units$

substitute

$cot(\theta)=(6)/(5)$

Final answer:

The exact values of sin theta, csc theta, and cot theta for a point (-6, -5) on the terminal side are -5/sqrt(61), sqrt(61)/-5, and 6/5 respectively.

Explanation:

In this problem we have a point (-6, -5) on the terminal side of theta. The x-coordinate corresponds to the cosine of theta and the y-coordinate corresponds to the sin theta.

To answer your question:

sin theta = y/r = (-5)/sqrt((-6)^2+(-5)^2) = -5/sqrt(61)
csc theta = 1/sin(theta) = sqrt(61)/-5
cot theta = cos(theta)/sin(theta) = x/y = -6/-5 = 6/5

Learn more about Trigonometric Values here:

brainly.com/question/29069676

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Angelo is trying to save up to buy the new iPhone 11. He has $40 in his wallet. He decides to shovel snow off driveways for $30 per house to earn some money. Use this information to solve the problems below.-Which equation models the situation?

y = 30 + 40x
x = 40 + 30y
x = 40 +30y
y = 40 + 30x

Answers

the equation that best models this situation would be: y=40+30x

Answer:

y = 40 + 30x

Step-by-step explanation:

You dont know how many houses, so you put a variable for it. You have $40 in your wallet. Thats why y = 40 + 30x is your answer.

Variable y varies directly with variable x, and y = 6 when x = 9. What is the value of x when y = 18?

Answers

x and y are proportional hence when y is multiplied by a number, x is multiplied by the same number.

18=6*3 hence when y=18,x=9*3=27

x=27

so you can set up a proportion like
x/y=x/y
9/6=x/18
simplify 9/6=3/2
3/2=x/18
multiply both side by 18
(3x18)/2=x
54/2=x
x=27

98 divided by 7 please show how

Answers

When you set up the problem, put 98 inside the division house, 7 outside. 7 goes into the 9 one time, so write 1 on top of the house. Then multiply 1x7, which is 7, and subtract it from 9. 9-7=2. Now bring down the 8,= next to the 2, which is 28. 7 goes into 28 4 times, so put the 4 on top of the house, to the right of the 1. 7x4=28. Now subract 28-28=0. The answer is on top of the house, 14.

98 divided by 7 is equal to 14, and the remainder is 0.

Given that we need to divide 98 by 7.

To divide 98 by 7, you can use long division.

Here's how it works:

_________

7 | 98

- 7

---

- 28

---

In this example, we start by dividing the first digit of the dividend (98) by the divisor (7). The quotient is 14.

We then multiply the quotient (14) by the divisor (7), which gives us 98. Subtracting 98 from 98 leaves us with 0.