A car rental company charges x dollars to rent a truck, plus y dollars per kilometre. Find x and y if the rental charge is $90 for 100 km, and $110 for 150 km.

Answers

Answer 1

Answer:

X=50 dollars Y=0.4 dollars

Step-by-step explanation:

Starting with the two equations:

$90= X(truck cost)+ Y(cost per km)*100km

and

110=X+Y*150

we solve the first equation for X: X = 90-100Y

and plug X into the second equation: 110=90-100Y+150Y

add like terms: 20=50Y

so Y = 2/5 or .4

Plug Y into the first equation: 90= X+100(.4)

Evaluate: 90= 40+X  so   X= 50

Answer 2

Answer:

X = 50 dollars

and Y= o.4 cents

Step-by-step explanation:


Related Questions

On a coordinate plane, a triangle has points R (negative 1, 3), S (3, negative 2), and T (1, negative 4). Which reflection will produce an image of ΔRST with a vertex at (2, –3)? a reflection of ΔRST across the x-axis a reflection of ΔRST across the y-axis a reflection of ΔRST across the line y = x a reflection of ΔRST across the line y = –x

Answers

Answer:

a reflection of ΔRST across the line y = –x

Step-by-step explanation:

A reflection across the line y = –x transforms point (x, y) into (-y, -x)

After reflecting ΔRST across the line y = –x we get:

R (-1, 3) -> (-3, 1)

S (3,-2) -> (2, -3)

T (1, -4) -> (4, -1)

where S is at the desired vertex

Answer:

The answer is D

Step-by-step explanation:

Have a nice day!

Work this out for meee

Answers

Answer:

87.5cm²

Step-by-step explanation:

area of trapezium = 1/2 (a+b)h

1/2 × (10 + 15) ×7

1/2 × 25 × 7

1/2 × 175 = 87.5

Answer:

87,5 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (10cm + 15cm)×7cm/2

= 25cm×3,5cm

= 87,5 cm²

solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c

Answers

p = 2b+2c
-2b -2b

p -2b =2c
/2 /2

p/2 -b =c
The answer is P/2-b=c.

to determine the inverse of the given function change f(x) to y switch and y and solve for

Answers

Answer:

x, y, 4, 0

Step-by-step explanation:

To determine the inverse of the given function change f(x) to y switch x and y and solve for  y.

f(x) = sqrt(x - 4)

y = sqrt(x - 4)

x = sqrt(y - 4)

x^2 = y - 4

x^2 + 4 = y

y = x^2 + 4

The domain of the inverse is the same as the range of the original function.

inverse f(x) = x^2 + 4

x^2 + 4 >= 4

x^2 >= 0

x >= 0

The resulting function can be written as inverse f(x) = x^4 + 4, where x >= 0.

Answer:

x, y, 3, and 0

1. If u were to draw a tree diagram showing all the possible outcomes for rolling a six sided die twice, how many total outcomes would there be

1. 6
2. 12
3. 36

2. Rick is deciding what to wear to school. He has two different shirts, two different pants, and two different pairs of shoes to choose from. How many different outfit combinations does Rick have to choose from

1. 6
2. 8
3. 16

Answers

1. 2). 2. 1) 3 * 2 =6

The area of this parallelogram is 120 mm2. Find the value of x. 9 mm 12 mm 15 mm 6 mm

Answers

Answer:

[tex]x=12\:mm[/tex]

Step-by-step explanation:

[tex]A=bh[/tex]

[tex]b \times h=120[/tex]

[tex]b \times 10=120[/tex]

[tex]b=120 \div 10[/tex]

[tex]b=12[/tex]

A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. What is the volume of the current-sized box? a0 cubic inches

Answers

Answer:

Volume of the box = [tex]2244inches^{3}[/tex]

Step-by-step explanation:

Given

Number of reams in one stack = 4

Number of stacks in the box = 3

Dimensions of a ream = 8.5 inches, 11 inches and 2 inches respectively

To find

Volume of one ream = Length × Breadth × Height

                                   = 8.5 × 11 × 2

                                   = [tex]187 in^{3}[/tex]

Volume of all the four reams in one stack = 187 × 4

                                                                      = [tex]748in^{3}[/tex]

Volume of all the three stacks in the box = 748 × 3

                                                                    = [tex]2244in^{3}[/tex]

∴ Volume of the box = [tex]2244inches^{3}[/tex]

Answer:

The answer is 2244 in3. hope this helps☻♥.

U Listen
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia
and her sisters reading rates, in pages per hour? this are the choices and the question. pls this is due in 10 min pls help​

Answers

Answer:

6

Step-by-step explanation:

60 mins ÷5= 12. 12 x2=24

60 mins ÷6=10. 10x3=30

30-24=6

which of the following best describes a line

Answers

I would answer, but you didn't give any options.

i would say go for the option that is closes to :

" A line is a straight collection of points that goes on forever in two directions."

(x³-4x²+7x-5)+(13x-15x²+x³)

Answers

Answer:

2x^3−19x^2+20x−5

Step-by-step explanation:

combine the x's and numbers, when fully simplified:

2x^3−19x^2+20x−5

Answer:

[tex]\sf 2x^3-19x^2+20x-5[/tex]

Step-by-step explanation:

[tex]\sf\left(x^3-4x^2+7x-5\right)+\left(13x-15x^2+x^3\right)[/tex]

[tex]\sf x^3-4x^2+7x-5+13x-15x^2+x^3[/tex]

[tex]\sf x^3+x^3-4x^2-15x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-4x^2-15x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-19x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-19x^2+20x-5[/tex]

Carly tried to solve an equation step by step.
Find Carly's mistake.

Answers

Answer:

Step 1 is incorrect

Step-by-step explanation:

Answer:

step 1

Step-by-step explanation:

Solve the equation 12 + 2x = 16

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]12 + 2x = 16[/tex]

[tex]2x=16-12[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph of y equals 4 x plus 5y=4x+5. Write the equation in​ slope-intercept form, if possible.

Answers

Answer:

The equation for the new line in slope-intercept form is:  

[tex]y=4x+2[/tex]

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

[tex]y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0[/tex]

which for our case is:

[tex]y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2[/tex]

There are d boys in the class. This is two more than four times the number of
girls (X). How many girls are there in the class?

Answers

Answer:

c.

Step-by-step explanation:

That is, the number of boys (d) is (=) 2 more than (2 +) 4 times the number of girls (4X). So your answer is C

Please answer right, I've been stuck on this test for an hour.

Answers

Answer:

D

Step-by-step explanation:

f(x) has a horizontal asymptote of -4 while g(x) has horizontal asymptote of zero, in both functions, y is closer to infinity as x is closer to negative infinity,

A and B are definitely incorrect

while x gets closer to infinity, in f(x) y gets closer to -4, while in g(x) y gets closer to 0, thus they have a different end behavior as x approaches infinity

So, C is wrong, since it says that they have the same end behavior as x approaches infinity

Thus, D is correct

Solve and work out the value of a

Answers

Step-by-step explanation:

Since these angles are supplementary (meaning they have a sum of 180 degrees) we get 3a + 2a + 4a = 180° which simplifies to 9a = 180 and then a = 20°

Answer:

a = 20

Step-by-step explanation:

The angles form a straight line, which is 180 degrees

3a + 2a + 4a = 180

Combine like terms

9a = 180

Divide by 9

9a/9 =180/9

a = 20

Can someone Help me?

Answers

Answer:

The answer for the surface area is 25.12

Step-by-step explanation:

By using the formula 1/3 x 3.14 x h x r^2

You would input the numbers and then multiply them all together to get the desired answer

please help❤️

A cannonball shot from the top of a building
can be modeled by the following equation:
h = –16(t = 3)2 + 189

Answers

Answer:

nole entiendo preguntale atu profe

Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and

Answers

Answer:

Angle x=19°

Angle Y=53°  hopes this helps i might be wrong idk

Step-by-step explanation:

Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.Angle X=90-71=19Angle Y=180-37-71-19


ANSWER ASAP IM GIVING BRAINLIEST!
The trapezoid is composed of a rectangle and two triangles. What is the area of the rectangle? What is the total area of the triangles? What is the area of the trapezoid?

A) 13 cm2; 15 cm2; 28 cm 2
B) 26 cm2; 15 cm2; 41 cm 2
C) 40 cm2; 15 cm2; 55 cm 2
D) 40 cm2; 7.5 cm2; 47.5 cm 2

Answers

Step-by-step explanation:

is there any diagram included about this question

ray bought the seven books shown below as well as an eighth book. the eighth book was $21.90. what was the price of the eighth book ?

Answers

Answer:

$21.90

Step-by-step explanation:

You say that in the question "the eighth book was $21.90". Please rephrase if that is not what you meant :)

Determine the approximate ordered pair for f(x) = g(x)

(3, 12)

(3,18)

(12,3)

(18, 3)

Answers

Answer:

(3,18)

Step-by-step explanation:

(3,18) is the answer to your problem

Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2 – x Complete the statements about the number of terms in the polynomial representing the volume of each box. Box 1's volume will be a Box 2's volume will be a . Explain your reasoning.

Answers

Answer:

Box 1's  volume will be a monomial

Box 2's volume will be a binomial

Explain your reasoning:

Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial.  Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

Step-by-step explanation:

Feel free to copy and paste! Hope this helps! Have a great day!

BTW...If you have any questions for school...any grade level, any subject...just comment or ask. I will be sure to answer as soon as I can!!  <3

The volume of a box is the amount of space it can occupy.

Box 1's volume will be a monomialBox 2's volume will be a binomial

The given parameters are:

Dimensions of box 1: x by 3x by x^3

Dimensions of box 2: x by 4x - 1 by x^3

The volume of the box is calculated by multiplying the dimensions.

So, we have:

Box 1

[tex]V_1 = x \times 3x \times x^3[/tex]

[tex]V_1 = 3x^5[/tex]

Box 2

[tex]V_2 = x \times (4x - 1) \times x^3[/tex]

[tex]V_2 = (4x - 1) \times x^4[/tex]

Open brackets

[tex]V_2 = 4x^5 - x^4[/tex]

After calculating the volumes, we have:

[tex]V_1 = 3x^5[/tex] ---- box 1

[tex]V_2 = 4x^5 - x^4[/tex] ---- box 2

Hence,

The volume of box 1 is monomial, because it has 1 termThe volume of box 2 is binomial, because it has 2 terms

Read more about volumes at:

https://brainly.com/question/15861918

Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC? Question 4 options: A) To the left five units, up three units. B) To the right five units, up three units. C) To the left five units, down three units. D) To the right five units, down three units.

Answers

it’s to the left 5 units, down three, so C because the translation maps abc to a’b’c’

Answer:

C

Step-by-step explanation:

What is 4.6% of 1.9? Round to the nearest hundredth (if nece
ecessary)

Answers

Answer:

.0874 or .087

Step-by-step explanation:

Answer:

1.99

Step-by-step explanation:

4.6% > 0.046

0.046 x 1.9 = 0.0874

0.0874 + 1.9 = 1.9874

rounded to nearest hundredth

1.99

Willie had a lemonade stand.On one day he sold 117 cups of lemonade. If each cup contains 226 milliliters of beverage, how many liters did he sell in all

Answers

Answer:

26.442 litre

Step-by-step explanation:

total beverage sold= 117*226

= 26442ml

in litres= 26442/1000

= 26.442

Which statistic can not be determined from a box plot representing the scores on a math test?
the median score
the lowest score

the score that occurs most frequently
the highest score​

Answers

Answer:

the score that occurs most frequently

Statistics can not be determined from a box plot representing the scores on a math test is the score that occurs most frequently.

Definition of Box plot:

It displays the five-number summary of a set of data.

The five-number summary is

minimum scorefirst quartile median score third quartilemaximum score

In a box plot, we draw a box from the first quartile to the third quartile.

A vertical line goes through the box at the median.

Therefore, the score that occurs most frequently is the correct answer.

To know more about box plot, refer,

https://brainly.com/question/1523909

#SPJ2

PLEASE HELP A boat is carrying containers that weigh 1000 pounds each. Use this information to fill in the table. Then plot the ordered pairs given by the table.

Answers

Answer:

For the table, the answers are 2000, 4000, 7000. for the graph the plots will be at (2,2000) (4,4000) (7,7000)

Step-by-step explanation:

A boat is carrying containers that weigh 1000 pounds each.

For the table

2 x 1000 = 2000

4 x 1000 = 4000

7 x 1000 = 7000

For the graph

2, 4, and 7 are given as your X  axis points. You will then raise those answers to your corresponding answers for the table. so your Y axis points will be 2000, 4000, and 7000.

Solve for x and show all of your steps.
3x - 20 - 4x = 4x - (3x - 2)

Answers

Answer: x = -11

Step-By-Step:
We can start by combining like terms on the left side.
-20 - x = 4x - (3x - 2)
Now we need to distribute the negative on the right side.
-20 - x = 4x - 3x + 2
Now combine like terms on the right.
-20 - x = x + 2
Now add 20 to the other side
- x = x + 22
Subtract x from the left side.
-2x = 22
Now divide by -2.
x = -11

Answer:

Step-by-step explanation:

3x -20 -4x =4x -(3x -2)

3x - 20 -4x = 4x -3x+2

-x-20 =x +2

-20-2=x +x

-22=2x

x= -22/2

x=-11

What is the value of (5 + 2)^2 - 9x3 + 2^3 ? Show all of your
work for full credit.

Answers

Answer:

30

Step-by-step explanation:

(5+2)=7

9x3=27

2^3=8

7^2 - 27 + 8 (evaluate)

7^2=49

49 - 27 + 8 (calculate)

=30

Other Questions
what is the function of the pancreas Fill in the following for a possible study with one independent variable (IV) with two conditions/treatments and a dependent variable (DV) that is measured on a continuous scale (interval or ratio): Independent variable = ______________ Condition A = ______________ Condition B = ______________ Dependent variable = _______________ How do you know this DV is measured on a continuous scale? How would you word the null hypothesis for your sample study? How would you word the alternative hypothesis for your sample study? What alpha level would you set to test your hypothesis? Why? There are 130 people in a sport centre. 76 people use the gym. 60 people use the swimming pool. 32 people use the track. 23 people use the gym and the pool. 8 people use the pool and the track. 20 people use the gym and the track. 6 people use all three facilities. A person is selected at random.What is the probability that this person doesn't use any facility? Question 7 (1 point)What does not produce carbon dioxide?abooooAnimal respirationPhotosynthesisPlants decayingBurning Fossil Fuelsd a) Form an inequality in terms of xb) Solve the inequality to find the possible width of the field what is the discriminant of the equation 2x^2-4x+1=0 The number 7 is sacred the Native Americans, especially the CherokeeNation, for all of these reasons EXCEPT John leaves school to go home.his bus drives 6 kilometers north and then goes 7 kilometers west.how far is John's house from the school? There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 2 9 . There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be A Carbon-10 nucleus has 6 protons and 4 neutrons. Through radioactive beta decay, it turns into a Boron-10 nucleus, with 5 protons and 5 neutrons, plus another particle. What kind of additional particle, if any, is produced during this decay In a cookie mix, we find oatmeal cookies,raisin cookies, and butter cookies in a ratioof 5:1:3. If a bag of the mix contains 60butter cookies, how many cookies in totalare there? Which branch of the federal government can propose amendments to theConstitution?A. The executive branchB. The judicial branchC. The legislative branchD. The administrative branch The triangles are congruent by SSS and HL. Triangles R S T and V W X are shown. Triangle R S T can be rotated about point S and then shifted down and to the left to form triangle V W X. Which transformation(s) can be used to map RST onto VWX? reflection only translation only reflection, then translation rotation, then translation Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards. A sample of 20 cards are selected from the lot without replacement for functional testing. (a) If 20 cards are defective, what is the probability that at least one defective card appears in the sample Why did the Ming dynasty isolate itself after pushing the Mongols out? assume that for a particular group of students, the events is a senior and is female are independent. If 30% of the students are seniors and 54% of the students are female, what is the probability of being a female senior? 7. A shopkeeper can buy 36 toys for $20.52. What will befor 120 toys? Is being an imperial power good for America Event A: lands on yellow.Event B: lands on green.Events A and B are a0 events. PromptA close family member explains that she does not give money to charity because she "wouldn't receive any personal benefitfrom donating and because "most charities waste their donations on salaries and other administrative expenses."