You have several options to add to your brand new car: leather seats, heated seats, sunroof, tinted windows, and back up camera. How many different ways can the car be built?

Answers

Answer 1

Answer:

The number of different ways the car can be built is 31 different ways

Step-by-step explanation:

The given options are'

1), Leather seats, 2) Heated seats, 3) Sunroof, 4) Tinted windows, 5), back up camera

Therefore, the number of different ways the car can be built, n, is given as follows;

n = ₅C₁  + ₅C₂ + ₅C₃ + ₅C₄ + ₅C₅

n = 5 + 10 + 10 + 5 + 1 = 31 different ways

The number of different ways the car can be built = n = 31 different ways


Related Questions

Type the correct answer in each box. The point on the number line shows the opposite of , or the opposite of the opposite of .

Answers

Answer:

2.5

Step-by-step explanation:

Given

See attachment for number line

Required

Determine the opposite of the point

Represent the point with x; we have to first, determine point x

From the number line:

[tex]x = -2.5[/tex]

The opposite of number x is -x

[tex]-x = -(-2.5)[/tex]

[tex]-x = 2.5[/tex]

Hence, the opposite of the point is 2.5

Jessie thinks that the first step in solving the equation shown below could be to use the addition property of his equality. His friend robin thinks that yhe multiplication property of equality could be used first. Who is correct and why? 2/5 x - 3/2 = 5/2 x + 6

Answers

Answer:

jessie

Step-by-step explanation:

because math is math

The solution for the given equation is -15/7.

The given equation is [tex]\frac{2}{5}x-\frac{3}{2} =\frac{5}{2}x+6[/tex].

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

[tex]\frac{2}{5}x-\frac{3}{2} =\frac{5}{2}x+6[/tex]

⇒ [tex]\frac{2}{5}x-\frac{5}{2}x=6-\frac{3}{2}[/tex]

⇒ [tex]\frac{4}{10}x-\frac{25}{10}x=\frac{12}{2} -\frac{3}{2}[/tex]

⇒ (-21/10) x =9/2

⇒ x = 9/2 × (-10/21)

⇒ x = 3/1 × (-5/7)

⇒ x = -15/7

Therefore, the solution for the given equation is -15/7.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Juanita ran 8.3 miles in Week 1 and 12.09 miles in Week 2. She used the subtraction below to determine how much farther she ran in Week 2 than in Week 1.

12.09 minus 8.30 = 4.79. All decimals are aligned. The 0 in 12.09 is crossed out and a 1 is above it. The 2 is crossed out in 12.09 and a 1 is above it.

Which error did Juanita make?
She subtracted instead of added.
She aligned the decimal points incorrectly.
She did not regroup correctly when subtracting.
She made a computational error when subtracting.

Answers

Step-by-step explanation:

12.09 - 8.30 = 3.79

The reason why her answer was wrong is because when the '2' gets slashed into a '1' during carry over, it would have been 11 - 8 = 3 instead of a 4. (the 1st column)

The error that Juanita made is that she made a computational error when subtracting.

Answer:

She made a computational error when subtracting.

Step-by-step explanation:

She subtracted instead of added.

No, she needed to subtract to find the difference.

She aligned the decimal points incorrectly.

No, she did it right.

She did not regroup correctly when subtracting.

No, she regrouped correctly.

She made a computational error when subtracting.

Yes. She made an error at last step, instead of subtracting 8 from 11 she subtracted 8 from 12 and got the first digit wrong (4 instead of 3).

Please help! The Sugar Sweet Company will choose from two companies to transport its sugar to the market. The first company charges $3495 to rent trucks plus an additional fee of $255.50 for each ton of sugar. The second company charges $5500 to rent trucks plus an additional $125.25 fee for each ton of sugar. For what amount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?

Answers

Answer:

The cost when the two companies charge the same is $7,703.

Step-by-step explanation:

Let 'x' represent the number of tons.

For x tons the first company will charge:

5297 + 200.50x

For x tons the second company will charge:

6500 + 100.25x

We want to find x so that both companies charge the same, that is:

5297 + 200.50x = 6500 + 100.25x

x = 12 tons

For 12 tons both companies will charge the same.

The cost charged for 12 tones is:

5297 + 200.50*12 = $7,703

Hope this Helps! :)

Which problem can be solved using the equation shown?

Answers

Answer: The first one :)

Step-by-step explanation:

A triangle has sides measuring 5 inches and 8 inches. If x represents the length in inches of the third side, which inequality gives the range of possible values for x?

Answers

Answer:

3 less than or equal to x less than or equal to 13

3 ≤ x ≤ 13

Step-by-step explanation:

Answer: The answer is A.

Step-by-step explanation:

3 < x < 13

8(m – 5) = 2(3m - 8)
help

Answers

Answer:

m=12

Step-by-step explanation:

it is right

Answer:

m = 12

Step-by-step explanation:

8(m – 5) = 2(3m - 8)

Distribute the 8 to (m-5) and the 2 to the (3m-8)

8m-40=6m-16

Add 40

8m=6m+24

Subtract 6m

2m=24

Divide 2

m=12

2) Joe's Beach Horses business rens hones at a beach in momo Bay. He charges a one time foe of $15.00 for the application process and and $18.50 per hour perhome. How much would you expect to pay if you were to nde a home for 6 5 hours for a day?​

Answers

Answer:

555x+15

x=days

Step-by-step explanation:

Twice the sum of a number and 8 is the same aa the difference of 3 and the number. Find the equation that could be used to find the number, x.

A. 2x+8=x-3
B. 2(x+8)=x-3
C. 2(x+8)=3-x
D. 2x+8=3-x​

Answers

Answer:

f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)

 

Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:

 

2(x-8)=3(x+3)

2x-16=3x+9

x=-25

Correct answers only please... thanks!

Answers

Answer:

(0,2)

Step-by-step explanation:

Answer:

The new coordinate is (0, 2)

Step-by-step explanation:

From left to right you are changing the x value and from up to down you are changing the y value.  In this case, you are adding 3 units from -3 in which your x-coordinate is 0 and also adding 4 units from -2 in which your y-coordinate is 2.

Triangle ABC was dilated with the origin as the center of dilation to create
A'B'C'.

Which rule best represents the dilation that was applied to Triangle ABC to create A'B'C'?

A. (x, y,) (13x, 13y) C. (x, y,) (x - 3, y + 3)

B. (x, y,) (3x, 3y) D. (x, y,) (½ x, ½ y)

Answers

Answer:

this is my answers

B. (X,y) (3x.3y)

Solve for x 2x + 3 > 7

Answers

Answer:

The answer is x>2

Step-by-step explanation:

2x + 3 > 7

-3           -3

2x > 4

/2    /2

x>2

Answer:

x > 2

Step-by-step explanation:

Given

2x + 3 > 7 ( subtract 3 from both sides )

2x > 4 ( divide both sides by 2 )

x > 2

Ellie bought 5 chicken wings for $10.00. If Ellie spent $16.00, how many chicken
wings did she buy?

Answers

Answer:

In all, she bought 8, or three more.

Step-by-step explanation:

If 5 chicken wings are for ten dollars, that means each wing is 2 dollars.

If each wing is two dollars then you divide the sixteen dollars by 2 dollars getting 8 wings.

Answer:

Ellie can buy 8 chicken wings

Step-by-step explanation:

From what we know, Ellie was able to by 5 chicken wings for $10, when dividing 10 by 5 we now know that each chicken wing could've cost her $2. So in order to find out how many chicken wings she can buy we can divide 16 by 2 and get 8. Hope this helps! :)

what is the constant of proportionality in the equation x/y=2/9

Answers

Answer:

x/y=2/9

y = 9/2 x

Step-by-step explanation:

The constant of proportionality in the equation is 9/2

Answer: C)9/2

Answer:

uh

Step-by-step explanation:

A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are: (−1,0), (4,0), (2,4), and (7,4). How long is each side of the rhombus?

Answers

Answer:

Each side of the Rhombus is 5 units

Step-by-step explanation:

Since the sides of a rhombus area all equal in length;

Then, the length of a side is enough to get the lengths of the other sides

Mathematically, finding the distance between two points out of what we are given will be enough to get the measure of one of the side of the rhombus

We apply the distance formula appropriately to get the distance between the side of the Rhombus

D = √(x2-x1)^2 + (y2-y1)^2

let us use the points (-1,0) and (4,0)

D = √(4 + 1)^2 + (0-0)^2

D = √25

D = 5

Find the value of x in the given
right triangle.
12
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter

Answers

Answer:

[tex]x = 10.6[/tex]

Step-by-step explanation:

[tex] \sin( {62}^{o} ) = \frac{x}{12 } \\ x = 12 \sin( {62}^{o} ) \\ x = 10.6[/tex]

Can you help me on this? Thanks​

Answers

Answer:

rjjlowiqyyyjjjioiiiffggytdyhhg

The sum of 2 consecutive odd integers is -60.
What are the integers?
I need help!

Answers

Answer:  -31 and -29

=======================================================

Explanation:

Consecutive integers are integers that follow one right after another. For example, the set {3,4,5} represents consecutive integers.

Consecutive odd integers are a similar idea but that every value is odd. Example: {7,9,11,13}

Let x be some integer. If we multiply it by 2, then it's always even. So 2x is always even. Adding 1 to it makes it odd. So 2x+1 is odd.

The next odd integer after (2x+1) is (2x+3)

Add those two integers and set that sum equal to -60. Solve for x.

(2x+1)+(2x+3) = -60

4x+4 = -60

4x = -60-4

4x = -64

x = -64/4

x = -16

If x = -16, then

2x+1 = 2*(-16)+1 = -32+1 = -31

2x+3 = 2*(-16)+3 = -32+3 = -29

Then note how -31+(-29) = -60 which confirms our answers.

suppose a parabola has an axis of symmetry at x=-2, a maximum height of 8, passes through the point (-6, 2). Wrire the equation of the parabola in vertex form.

Answers

Answer:

y = -3/8(x + 2)^2 + 8

Step-by-step explanation:

vertex form is

y = a(x - b)^2 + c     where a is a constant and (b,c) is the vertex.

The maximum is at (-2, 8)  because x 8 = height and x =-2 is equn. of symmetry

So here we have

y = a(x - (-2))^2 + 8

y = a(x + 2)^2 + 8

Now at the point (-6, 2):

2 = a(-6+2)^2 + 8

2 = 16a + 8

16a = -6

1 = -3/8.

So our equation is y = 3/8(x + 2)^2 + 8

Perimeter of a rectangular concrete slab is 102 feet and it's area is 560 ft.² what is the length of the longer side of the slab

Answers

Answer:

The longer length is 35ft

Step-by-step explanation:

Given

[tex]Area = 560[/tex]

[tex]Perimeter = 102[/tex]

Required

Determine the longer length

Represent the length with L and width with W

So, we have:

[tex]L * W = 560[/tex] --- Area

[tex]2*(L+W) = 102[/tex] --- Perimeter

Divide both sides by 2 in:

[tex]2*(L+W) = 102[/tex]

[tex]L + W = 51[/tex]

Make L the subject:

[tex]L = 51 - W[/tex]

Substitute 51 - W for L in [tex]L * W = 560[/tex]

[tex](51 - W) * W = 560[/tex]

[tex]51W - W^2 = 560[/tex]

Reorder the equation

[tex]W^2 - 51W + 560 = 0[/tex]

Expand

[tex]W^2 -35W - 16W + 560 = 0[/tex]

[tex]W(W-35)-16(W-35) = 0[/tex]

[tex](W-16)(W-35) = 0[/tex]

Split:

[tex]W - 16 = 0\ \ \ W - 35 = 0[/tex]

[tex]W = 16\ \ \ W = 35[/tex]

This implies that the longer length is 35ft

ion think anything can beat tha way i feel ab except my fear of loving

Answers

Answer:

same is so sad its either cheating or leaving

Step-by-step explanation:

Answer:

my worst fear is losin people...

Step-by-step explanation:

but I gotchu through whatever, aii?

The manager of a shopping center wishes to obtain information on the shopping habits of people in the area. The area
contains four neighborhoods of varying populations. The manager suspects that the shopping habits may be different
in different-sized neighborhoods. Which of the following sampling designs would be most effective in gathering the
information the manager requires?
a convenience sample from the area
O a simple random sample from the area
O a cluster sample using the neighborhoods as clusters
O a stratified sample from the neighborhoods in the area
O an online poll that invites all people from the neighborhoods in the area to participate

Answers

Answer:

Option C wil be most effective in gathering the information that the manager requires.

Step-by-step explanation:

Internal and external environment influnces any kind of business. we should have proper knowledge of internal and external factors which affects our business.In given case, Taste and preference affects the demand and supply of consumer and shopping center. So manager must take a stratified sample from the neighbourhoods in the area.

For each table, determine whether it shows that X and Y are proportional. If X and y are proportional, fill in the blank with a number in simplest form. I REALLY NEED HELP WITH THIS! Please give a detailed explanation! Will mark brainliest if you have a detailed explanation! Note: it can be a fraction.

Answers

Step-by-step explanation:

For table 1,

x =  20     36    56     80

y =  4        6       8       10

Taking 20/4 = 5

36/6 = 6

56/8 = 7

80/10 = 8

The value of x/y is not same in any of the cases. The constant of proportionality is different. It means x and y for this table is not proportional.

For table 2,

x = 28    42    56    70

y = 20    30    40    50

Taking 28/20 = 1.4

42/30 = 1.4

56/40 = 1.4

70/50 = 1.4

The value of x/y is same in each case. The constant of proportionality is same i.e. 1.4 in each case.

[tex]\dfrac{x}{y}=1.4\\\\\dfrac{y}{x}=\dfrac{1}{1.4}\\\\\dfrac{y}{x}=\dfrac{5}{7}\\\\y=\dfrac{5}{7}\times x[/tex]

So, y is 5/7 times of the x.


If 3/4 and 12/x are equlvalent, what is the value of x?

Answers

Answer:

[tex] \frac{3}{4} = \frac{12}{x} \\ 3x = (12 \times 4) \\ x = \frac{(12 \times 4)}{3} \\ x = (4 \times 4) \\ x = 16[/tex]

Answer:

x = 16

Step-by-step explanation:

so 3/4 = 12/x

you Can multiply 3/4 by 4 to get

12/16 = 12 / x

you can assume x = 16 since the numerators are the same

6. The costs for going to a dog beach are
$7 for 1 dog, and $2 for each additional
dog. Which equation shows this situation,
where x > 1?
A y = 2x + 5
Cy= 5x + 2
B y = 3x + 11 D y = 7x + 11

Answers

9514 1404 393

Answer:

  A  y = 2x + 5

Step-by-step explanation:

The cost per dog is the slope of the cost equation, 2. The equation can be written in point-slope form as ...

  y -7 = 2(x -1) . . . . using the point (1, 7)

Simplified, this is ...

  y = 2x -2 +7

  y = 2x +5 . . . . matches choice A

solve for y when x=4

-y+5x=2(y+7x)

A. y=18
B. y=7
C. y=4
D. y=-12

Answers

Answer:

D.) y=-12

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!! :)

Which expression is equivalent to (138+5)?
help pleaseee

Answers

Answer HI Did you mean:

138 + 5 plz thx for the points

A volunteer group is planting trees at 6 different parks. They planted 70 trees at each park. How many trees did the group plant in all?

Answers

Answer:

6x70=420

Step-by-step explanation:

With this probelm, you can add like this 70+70+70+70+70+70 to get the answer (find the first number mentioned that is probably the first thing your mutilplying and second number you can use to mutiply it, it can put it anyway like 6x70 or 70x6

Roger can make 3 bird houses in 5 hours. Which proportion could be used to determine how many bird houses Roger could build in 20 hours?

Answers

Answer:

the answer should be 12

Step-by-step explanation:

Find [f g](x) if g(x) = x + 1 and f(x) = 2x ^ 2 - 5x + 8

Answers

Answer:

[tex]2x^{2}[/tex] - x + 5

Step-by-step explanation:

g(x)=x+1

f(x)=[tex]2x^{2}[/tex]-5x+8

f∅g(x)=2[tex](x+1)^{2}[/tex]-5(x+1) + 8

= 2([tex]x^{2}[/tex]+2x+1) - 5x - 5 + 8

= [tex]2x^{2}[/tex] +4x +2 - 5x +3

=[tex]2x^{2}[/tex] -x +5

:)

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