11. Algebra The total cost of the Fatigato
family's two cars was $71,482. The cost of
one car was $38,295. Write an equation
using a variable to represent the cost of
the family's other car.

Answers

Answer 1

Answer:

$33,187

Step-by-step explanation:

Our total is 71,482 so let's set our equation to 71482=_________

Now we have $38,295 for one car, and we will subtract it from the total to find the other car, as there are 2 cars.

Equation:

71482-38295=x OR 71482=38295+x

X is the cost of the second car.


Related Questions

write an email as if
you wanted to set up
an interview with
someone

Answers

Answer:Dear Mikey,

I saw your progress on how to serve the best food and we wanted to see if you could help us or join our company if you want.

Call 923-456-2483

Sincerely Johns Bagel Company

Step-by-step explanation:

what are the correct answers for each blank using the dropbox's provided for each blank?Dropbox 1: Congruent, Similar, Not congruent or similarDropbox 2: Proportional, Not proportional, CongruentDropbox 3: Proportional Not proportional, Congruent

Answers

The pair of triangles shown are similar because the sides are proportional and corresponding angles are congruent.

Rashida was given 48 problems for homework. she has worked out 7/12 of them. how many more left unsolved​

Answers

Answer:

she has left 28 unsolved problem or whatever it is

Step-by-step explanation:

48:12=4

4x7=27

An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint. What is the scale for this blueprint?

A. 1 in. : 2.5 ft.
B. 1 in. : 25 ft.
C. 1 in. : 62 ft.
D. 1 in. : 62.5 ft.

Answers

Answer it is c because when you multiply 12 x 5 you get 60 right so round up to the nearest number 62 an u can't subtract or divide you won't get a or b

write the missing power of 10 in the exponential form…….*0.006=0.6

Answers

Answer:

10 to the second power

[tex]10^2[/tex]

Explanation:

Let the unknown value be x

The given expression can be rewritten as:

[tex]x\times0.006=0.6[/tex]

Express as a fraction;

[tex]\begin{gathered} x\times\frac{6}{1000}=\frac{6}{10} \\ \frac{6x}{1000}=\frac{6}{10} \\ \end{gathered}[/tex]

Cross multiply

[tex]\begin{gathered} 6x\times10=6\times1000 \\ 60x=6000 \\ x=\frac{6000}{60} \\ x=100 \\ x=10^2 \end{gathered}[/tex]

Hence the required unknown number in the exponential power of 10 is 10^2

Determine which expression is equivalent to the expression 5 over 4 times g minus 3 minus 7 over 12 times g minus the expression one over 3 times g plus 15. negative 1 over 3 times g plus negative 18 negative 4 over 12 times g plus negative 12 4 over 12 times g plus negative 18 16 over 12 times g plus negative 12 (BEST ANSWER WILL GET BRAINLIST)

Answers

The expression that is equivalent to the expression illustrated is 1/12g - 18.

What is an expression?

It should be noted that an expression is used to show the relationship between the variables.

The expression will be illustrated as:.

= 5/4g - 3 - 7/12g - (1/3g + 15)

= 5/4g - 3 - 7/12g - 1/3g - 15

= 5/4g - 7/12g - 1/3g - 3 - 15

= 15/12g - 7/12g - 4/12g - 18

= 1/12g - 18

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Please help Me I really need this !!!

Answers

Step-by-step explanation:

Original Equation:

[tex]x^2+5=0[/tex]

Subtract 5 from both sides

[tex]x^2 = -5[/tex]

Take the square root of both sides

[tex]x=\pm\sqrt{-5}[/tex]

Simplify

[tex]x=\pm i\sqrt{5}[/tex]

Thus we have two non-real solutions, and zero real solutions. This implies that the graph will never cross the x-axis when graphing the function out, because it has no real solutions.

A random sample of 89 observations produced a mean x = 25.4 and a standard deviation s = 2.4.a. Find a 95% confidence interval for u.b. Find a 90% confidence interval for H.c. Find a 99% confidence interval for u.a. The 95% confidence interval is O.(Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)

Answers

The formula for the confidence interval is;

Where:

[tex]undefined[/tex]

Given:

The mean is 25.4, the sample size n is 89, the standard deviation s is 2.4.

a. For the 95% confidence interval, the z-score for a 95% interval is 1.96.

Therefore, the 95% confidence interval is;

[tex]\begin{gathered} CI=25.4-1.96\frac{2.4}{\sqrt[]{89}}<\operatorname{mean}<25.4+1.96\frac{2.4}{\sqrt[]{89}} \\ CI=24.90<\operatorname{mean}<25.90 \end{gathered}[/tex]

Answer: (24.90, 25.90)

b. For the 90% confidence interval, the z-score for a 90% interval is 1.645.

Therefore, the 90% confidence interval is;

[tex]\begin{gathered} CI=25.4-1.645\frac{2.4}{\sqrt[]{89}}<\operatorname{mean}<25.4+1.645\frac{2.4}{\sqrt[]{89}} \\ CI=24.98<\operatorname{mean}<25.82 \end{gathered}[/tex]

Answer: (24.98, 25.82)

c. For the 99% confidence interval, the z-score for a 99% interval is 2.576.

Therefore, the 99% confidence interval is;

[tex]\begin{gathered} CI=25.4-2.576\frac{2.4}{\sqrt[]{89}}<\operatorname{mean}<25.4+2.576\frac{2.4}{\sqrt[]{89}} \\ CI=24.74<\operatorname{mean}<26.06 \end{gathered}[/tex]

Answer: (24.74, 26.06)

The lines shown below are parallel. If the green line has a slope of 5, what isthe slope of the red line?.O A.OB. 55O C.C. -//OD. -5(1)→

Answers

The slope of the red line is 5. The correct answer is option B. 5

Two parallel lines, always have the same slope. Since the green and red line are parallels and the green line has slope 5, the slope of the red line is also 5.

True or false?
When prices increase supply decreases.

Answers

Answer:

The answer to your question is:

False.

Step-by-step explanation:

If prices increase, then no one would want to buy the product. No one would come.

Therefore, the correct answer is;

When prices increase, supply decreases.

Sarah needed to get her computer fixed. She took it to the repair store.
The technician at the store worked on the computer for 4.25 hours and
charged her $54 for parts. The total was $585.25. Write and solve an
equation which can be used to determine x, the cost of the labor per
hour.

Answers

The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Given that,

x is the labor cost per hour.

The technician worked on the computer for 4.25 hours.

Total labor cost = 4.25x

The total parts cost = $54

The total charged cost = total parts cost + total labor cost

585.25 = 54 + 4.25x

4.25x + 54 = 585.25

Hence "The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25".

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Polygon BCDE ≅ polygon RSTU. Find the value of X and the value of Y

Answers

By comparing both polygons, we can tell that they are not the same polygon, since one of the sides has length 11 in one trapezoid and 12 in the other. So, this polygons are similar. We notice that the variables X and Y are part of the angles. In polygons that are similar, the measure of the homologous angles are equal. By homologous we mean angles that are located at the same place in both figures. To determine the homologous angles, we should have both figures drawn in the same orientation. To do so, we will flip the trapezoid on the left, so its orientation matches the one fromt the right. I picture of this flipping would be

From this picture, by comparing it to the other polygon, we determine that the angle EDC is homologous to the angle UTS. So, their measure should be the same. So, we get the following equation

[tex]2y\text{ - 37 = }y+2[/tex]

By adding 37 on both sides and subtracting y on both sides, we get

[tex]2y\text{-y = +2 +37 = 39}[/tex]

This implies that y = 39°.

By doing the same procedure, we find that the angles URS and CBE are homologous. So their measures are equal and we get the equation

[tex]51\text{ = }2x+13[/tex]

Then, by subtracting 13 on both sides

[tex]2x\text{ = 51-13 = 38}[/tex]

If we divide both sides by 2 we get

[tex]x=\frac{38}{2}=19[/tex]

So x = 19°.




Two-eighths of the movies in Beth's collection are
action movies. Another of the movies are come
What fraction of Beth's movies are either action
movies or comedies?

Answers

The answer is ..

Action movies

Name The Transformations Y=(x+3)^2-5

Answers

Answer: move three units to the left, and 5 units down would be the answer to it

Step-by-step explanation: hope i helped

how do you do order of operations with negitive signs

Answers

Let's use some examples where we have order of operations and also there are negative numbers and signs involved:

Let's evaluate the following:

(-4) x 5 + (-6)

So order of operations tells us to first take care of the multiplications and after that, deal with the additions or subtractions.

So the multiplication goes first here:

(-4) times 5 = - 20

Recall that a positive number times a negative number gives alwasy a negative number. So negative times positive gives the negative sign to the multiplication, and then, once the sign is taken care of, you multiply the numbers (4 x 5 = 20)

Next, we do the indicated addition

-20 + (-6) = -20 - 6 = -26

weher again we use the property that the + times the - inside the parenthesis gives a minus. ad we finalize by doing -20 - 6 = -26 (combining of two negative numbers).

Another example:

(8 + (-5)) x (-8)

So we first work on solving what is inside the first parenthesis :

8 + (-5) this is 8 - 5 (as we did before, the plus outside the parenthesis where -5 is, results in a minus sign as it multiplies the "-" that is shown ahead of 5.

So, inside this parenthesis we get: 8 - 5 = 3

Now we are left to multiply 3 times (-8)

This is a product of a positive number (3) times a negative number (-8). Again, do the rule for product of the signs (positive times negative equals negative) , ad then the product of the numbers: 3 x 8 = 24

so the answer is - 24

Another example:

(-9) x ((-10)+ 10)

We need to start by solving the operation indicated inside the parenthesis:

(-10) + 10 This is the same as: - 10 + 10 = 0

Now, whenwe use this result in the full expression, we get:

(-9) x 0 = 0 SInce any number multiplied times zero is zero.

Select the correct answer from the drop-down menu.Find the solution set for the system of equations.

Answers

Given:

9x+5y=28

5x+9y=56

Required:

To calculate the solution of the system

Explanation:

Rearrange like terms to the same side of the equation

[tex]\begin{gathered} 5x=28-9x \\ \\ 5x+9y=56 \\ \\ y=\frac{28-9x}{5} \\ \\ 5x+9y=56 \\ \\ substitute\text{ in the equation } \\ \\ 5x+9\times\frac{28-9x}{5}=56 \\ \\ x=\frac{-1}{2} \end{gathered}[/tex][tex]\begin{gathered} substitute\text{ value in y} \\ \\ y=\frac{28-9\times(\frac{-1}{2}}{5} \\ \\ y=\frac{13}{2} \end{gathered}[/tex]

Required answer:

Option B

If a Ferrari, with an initial velocity of 10 km/h, accelerates at a rate of 50 km/h/min for 3 minutes, what will its final velocity be (in km/h)?

Answers

The final velocity of the Ferrari will be 84.53 km/h. with an initial velocity of 10 km/h, accelerates at a rate of 50 km/h/min for 3 minutes.

This is a typical question from Newtonian mechanics. To solve this problem we have to convert all the given data into a standard unit like C.G.S.

Now, we will convert 10 km/h and 50 km/h by using the formula. (km/h × 5/18 = m/s )

10 km/h = 10× 5/18 = 2.78 m/s

50 km/h = 50× 5/18 = 13.89 m/sec/min = 0.23 m/s²

3 min = 3 × 60 = 180 sec. ( 1 min = 60 sec )

Now, we have to use the formula from Newton's law of motion,

v = u + at/2 .

Here, u is the initial velocity which is 2.78 m/s.a is the acceleration which is 0.23 m/s²t is the period which is 180 sec. v is the final velocity.

Now we can calculate the final velocity,

v = 2.78 + (0.23 × 180)/2 = 2.78 + 20.7 = 23.48 m/s

Now, we have to calculate the velocity in km/h, which is (23.48 × 5 )/8 = 84.53 km/h. as we know (km/h = m/s ×18/5 ).

Therefore, the final velocity will be 23.48 m/s according to the given inputs and criteria.

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Which of the following lines best fits the data shown in the scatter plot? 10 9 8 7 6 1 2 3 4 5 6 7 8 9 x Line a A С Line c Line b B. D None of the lines fit the data well

Answers

Scatter drawing plot

A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions of 3 inches by 3 inches by 3.6 inches. The volume of the computer is. (simplify your answer. type a whole number or a decimal.)

Answers

To find the volume of the computer, we just have to multiply each coordinate.

[tex]\begin{gathered} V=3in\times3in\times3.6in \\ V=32.4in^3 \end{gathered}[/tex]Hence, the volume is 32.4 cubic inches.

Suppose that a population has a mean of 200 and a standard deviation of 26. a. Compute the standard error of the sample mean for a sample size of 10.

Answers

Given:

Mean = 200

Standard deviation = 26

a) Find the standard error for a sample size of 10:

[tex]E=\frac{\sigma}{\sqrt{N}}[/tex]

Substitute the values:

[tex]E=\frac{26}{\sqrt{10}}=8.22[/tex]

Answer: 8.22

Select all equations that represent this tape diagram.

Answers

The equations that represent the diagram given are 7 + 8h = 167, 8h = 160

Equation that represent the diagram

To find the equation that represent the situation, we should simply count the number h present in the diagram, add it to 7 and equate the entire length to 167 which is the length of the tube.

This can be represented mathematically as

[tex]7 + h + h + h + h + h + h + h + h = 167[/tex]

we can simplify this further as

[tex]7 + h + h + h + h + h + h + h + h = 167\\7 + 8h = 167\\[/tex]

This can also be simplified as

[tex]7 + 8h = 167\\8h = 167 - 7\\8h = 160[/tex]

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order the following number from smallest to largest. 25, 10, -15, 0, -5

Answers

Answer:

-15, -5, 0, 10, 25

Step-by-step explanation:

Answer:-

15, -5, 0, 10, 25

Least  -> greatest  

Step-by-step explanation:

Use the Multiplication Property of One to rewrite the statement.8+1=x1) = 0

Answers

We need to isolate on the equation

[tex]8+(z\times1)=0[/tex]

since any number multiplied by one is the same, then z times 1 is z, so we can write

[tex]8+z=0[/tex]

Now, we can add -8 to both side and get

[tex]8-8+z=-8[/tex]

since 8 - 8 is zero, we have

[tex]z=-8[/tex]

then, z is equal to -8.

The length of a rectangle is double its width. If the rectangle has a perimeter of 138cm, find its length (in cm).

Answers

Answer:

length = 46cm

Step-by-step explanation:

The length of a rectangle is double its width. If the rectangle has a perimeter of 138cm, find its length (in cm).

p = 2l + 2w

when l = 2w, substitute in to equation:

138 = 2(2w) + 2w

138 = 4w + 2w

138 = 6w

divide both sides by 6:

138/6 = 6w/6

so width = 23cm

and we know that length = 2 width so:

length = 23cm × 2

length = 46cm

Emily is a sales representative. She receives 7% commission on all sales. At the end of the year she receives a bonus of 5% of her commission. If Emily's sales for the year total $412,454, calculate: 1) 7% Commission on Sales 2) 5% Bonus on Commission 3) Total Gross Pay for the year 4) Monthly Income

Answers

start by calculating the 7% of all the sales

[tex]\begin{gathered} \text{Comission}=(0.07)\cdot412,454 \\ \text{comission}=28,871.78 \end{gathered}[/tex]

Calculate the bonus from the comission

[tex]\begin{gathered} \text{Bonus}=(28,871.78)\cdot(0.05) \\ \text{Bonus}=1,443.59 \end{gathered}[/tex]

The total gross pay will be the addition between the comission and bonus

[tex]\begin{gathered} G.\text{ Income=28,871.78+1,443.59} \\ G\text{. income=30,315.37} \end{gathered}[/tex]

The monthly income will be the division between 12 months of the year

[tex]\begin{gathered} \text{Monthly income} \\ \frac{30,315.37}{12}=2526.28 \end{gathered}[/tex]

If OA-OB-OC and if AOB = 9x + 20, BOC = 7x - 6 and AOC = 142 find BOC

Answers

The angle BOC has a measure of 50 degrees

How to evaluate the measure of the angle?

From the question, the given parameters about the angles are:

OA-OB-OCAOB = 9x + 20BOC = 7x - 6AOC = 142

The above parameters implies that

AOC = AOB + BOC

Next, we substitute the angle measurements in the above equation

So, we have

142 = 9x + 20 + 7x - 6

Evaluate the like terms

So, we have the following equation

142 = 16x + 14

Evaluate the like terms again

So, we have the following equation

16x = 128

Divide both sides by 16

x = 8

Substitute x = 8 in BOC = 7x - 6

BOC = 7 x 8 - 6

Evaluate

BOC = 50

Hence, the measure of the angle is 50 degrees

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What is the x-coordinate for point A? TO B (9.9) Sixta- 9 8 7 6 5 4 3 2. 1 A (9.3) 1 0 1 2 3 4 5 6 7 8 9 10

Answers

EXPLANATION

The coordinate for point A is x=9

The graph of g(x) shown below has the same shape as the graph of f(x)=x2 but it is shifted right by 5 units write the equation for g(x)please help me!! :(

Answers

f(x)= x^2

To shift 5 units to the right subtract 5 to x .

g(x)= (x-5)^2

PLEASE HELP ITS DUE SOON! I DONT GET ANY OF THIS! HELP WOULD BE MUCH APPRECIATED! NEED THIS DONE BEEN STUCK ON THIS FOR WAY TO LONG!
YOU WILL GET 100 POINTS IF YOU HELP! QUESTION DOWN BELOW!!!!!

Answers

1) [tex]VX=ZX, \angle XVY=\angle XZW[/tex] (given)

2) [tex]\angle X=\angle X[/tex] (reflexive property)

3) [tex]\triangle VXY \equiv \triangle ZXW[/tex] (ASA)

Solving a word problem using a system of linear equations

Answers

In order to determine the weighs of the boxes, name x as the larger box and y as the smaller one.

Then, based on the given situation, you can write the following equations:

3x + 2y = 86

8x + 4y = 209

Solve the previous system of equations as follow:

Multiply the first equation by -2 and add the result to the second equation:

(3x + 2y = 86)(-2)

-6x - 4y = -172

8x + 4y = 209

-6x - 4y = -172

2x = 37

Solve the previous equation for x by dividing by 2 both sides:

x = 37/2

x = 18.5

Next, replace the previous value of x into any of the equations of the system, for instance, into the first equation, and solve for y:

3x + 2y = 86

3(18.5) + 2y = 86

55.5 + 2y = 86

2y = 86 - 55.5

2y = 30.5

y = 30.5/2

y = 15.25

Hence, the weighs of the boxes are:

larger box = 18.5 kg

smaller box = 15.25 kg

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What is the product 6x1,167 A local carnival charges $7.50 for adult admission and $5.25 for child admission. The carnival made $378 in an hour. The carnivaladmitted twice as many children as adults.How many adults and children were admitted in the hour? Please help if you can Lars Osberg, a single taxpayer with a 35 percent marginal tax rate, desires health insurance. Volvo, his employer, has a 21 percent marginal tax rate. The health insurance will cost Lars $8,500 to purchase if he pays for it himself through the health exchange (Larss AGI is too high to receive any tax deduction for the insurance as a medical expense). Answer the following questions about this benefit. (Do not round intermediate computations. Round your final answer to the nearest whole dollar amount.)b. What would be the after-tax cost to Volvo to provide Lars with health insurance if it could purchase the insurance through its group plan for $5,000?c. Assume that Volvo could purchase the insurance for $5,000. Lars is interested in getting health insurance, and he is willing to receive a lower salary in exchange for the health insurance. What is the least amount by which Volvo would be willing to reduce Larss salary while agreeing to pay his health insurance? A. Thermal to Chemical to Electrical to MechanicalB. Mechanical to Chemical to Electrical to Thermal C. Electrical to Chemical to Mechanical to ThermalD. Chemical to Thermal to Mechanical to Electrical What is the slope of the line that contains these points? 13 12 14 15 V -4 2. 8 14 y slope: Suppose you have $2750 in your savings account at the end of a certain period of time. You invested $2000 at a 4.36% simple annual interest rate. How long, in years, was your money invested ? (State your results to the nearest hundredth of a year.) 2. Find the missing measure Click on the inference that is most logical, based on the information given in the selection.Passage(1) Television changed my family forever. (2) We stopped eating dinner at the dining-room table after my mother found out about TV trays. (3) We kept the TV trays behind the kitchen door and served ourselves from pots on the stove. (4) Setting and clearing the dining-room table used to be my job; now, setting and clearing meant unfolding and wiping our TV trays, then, when wed finished, wiping and folding our TV trays. (5) Dinner was served in time for one program and finished in time for another. (6) During dinner we used to talk to one another. (7) Now television talked to us. (8) If you had something you absolutely had to say, you waited until the commercial, which is, I suspect, where I learned to speak in thirty-second bursts. (9) As a future writer, it was good practice in editing my thoughts. (10) As a little girl, it was lonely as hell. (11) Once in a while, Id pass our dining-room table and stop, thinking I heard our ghosts sitting around talking to one another, saying stuff.Source:Move On, an autobiographical book by Linda Ellerbee.Question5. We can infer that when Ellerbee imagined ghosts, shea. was remembering better times with her family.b. was scared of passing by the dining room.c. realized her childhood home was haunted. HELP ASAP I NEED ANSWER NOWW IT'S MISSING PLEASE HELP 50 POINTS hello I'm a 7th grader can u please help me with my math summer package and explain it in a way that a 7th grader can understand it..writing and. evacuating expressions What, or who, does the speaker seem to be thinking of when they refer to someone in the poem At Dusk? What makes you think this? Essay on Steve Jobs commencement speech at standford Amber wants to put a carpet on the floor of her bedroom. The floor is a square with an area of 7.29 square feet. How long should the piece of carpet on each side according to selman, children who think only about what they want from a relationship and who value their friends for material or physical attributes are at what stage of friendship? In mesopotamia, mesoamerica, and peru, chiefdoms were precursors to ______ states, which are states that arose on their own, not through contact with other state societies. Dan spent half of his weekly allowance. He then earned $8.90 by completing some chores. What is his weekly allowance if he currently has $14.70 (prior to getting his weekly allowance he had $0)? Which of the Figures correctly represents the force diagram to solve the problem? A quiz consists of seven multiple choicequestions. Each question has four choices.A student who forgot to study guessesrandomly on every question. What is theprobability that the student answersexactly five questions correctly? It costs $35 per hour to rent a boat at the lake.You also need to a pay a $25 fee for safety equipment.You have $200.How long can you rent the boat?