Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the
motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, It takes her to have $150 left to pay.
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B. 18.75x - 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C. -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D. 18.75x - 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.

Answer:

[tex]A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2[/tex]

The surface area of the triangular prism is 3152 square cm if the  base of the prism is an isosceles triangle.

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

We have a triangular prism, is showing in the picture:

Here  a = 25

b = 25

c = 14

h = 44

The surface area of the triangular prism is given by:

[tex]\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4][/tex]

Plug all the values in the formula we get:

A = 3152 square cm

Thus, the surface area of the triangular prism is 3152 square cm if the  base of the prism is an isosceles triangle.

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Answer:

17

Step-by-step explanation:

A standard die has a 1/6 chance of rolling a 6.

Over 100 rolls, a 6 is likely rolled (1/6)*100 times.

100/6=16.66, approximately 17 times

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles

Answer:

Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.

Distance = speed / time

Amy's speed

40 minutes = 40/60 = 2/3 hours

14.4 = speed / 2/3

Speed = 14.4 * 3/2 = 21.6 km/ hr

Bill speed

60 minutes = 1 hour

Speed = 14.4 km / hr.

Answer:

The last option on the list.

Step-by-step explanation:

Answer:

f(-2) = g(-2)

Answer:

401.92

Step-by-step explanation:

Bases: 2(4^2 π)=32π

Curved Surface: 12*(2*4π)=96π

96π+32π=128π=128(3.14)≈401.92

Answer:

The answer is No

Step-by-step explanation:

None of these match eachother or make any sense

Answer:

x = 2.36603 or 0.633975

Step-by-step explanation:

Here we want to solve the quadratic equation using the completing the square method.

2x^2-6x + 3 = 0

divide through by 2 first;

x^2 -3x + 3/2 = 0

x*2 -3x = -3/2

Half the x term will be -3/2 and squaring it is 9/4

we add this to both sides

x^2-3x/2 + 9/4 = -3/2 + 9/4

(x-3/2)^2 = 3/4

Finding square root of both sides

x-3/2 = √(3/4)

x = 3/2 ± √(3/4)

x = 3/2 + √(3/4) or x = 3/2-√(3/4)

which becomes

x = 2.36603 or 0.633975

Answer:  [tex]\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}[/tex]

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c²   , where "c" is the hypotenuse

[tex]9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

[tex]10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}[/tex]

Note: 12² + opposite² = 20²   →   opposite = 16

[tex]11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]

Note: adjacent² + 5² = 6²   →   adjacent = √11

[tex]12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}[/tex]

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

Answer:

9a is equivalent to 11a - 2a because 11a-2a is 9a.

Step-by-step explanation:

Answer:

3π/4

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)

The experimental probability that the next person to take a seat will have blond hair is 1/3.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.

So, the experimental probability that the next person to take a seat will have blond hair is:

P(blond) = 3/(3+6) = 3/9 = 1/3.

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Answer: n = 3

Step-by-step explanation:

You could treat these two ratios as fractions

[tex]\frac{1}{n} =\frac{5}{15}[/tex]

There are multiple ways in which you can do this, but Im going to teach you the most reliable way. Do cross multiplication by multiplying each side by the others denominators. 15 x 1 and n x 5 to get:

5n = 15

Divide each side by 5 to get n = 3

Answer: AB=12

Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4

Luego AB = AE+EB = 4+8 = 12

Answer:

3(1-7x) is first step

Step-by-step explanation:

Answer:

BIDMAS

Step-by-step explanation:

brackets

indices

division

multiplication

addition

subtraction

so.. do everything inside the brackets and then use the square

hope this helps! :)

Answer:

The median is the 268th observation.

Step-by-step explanation:

The mean of a data set is the value representing the entire data set.

The formula to compute the mean is:

[tex]\text{Mean}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}[/tex]

The median of a data set is the middle most value in the data set.

For odd number of observations the median is given by:

[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]

For even number of observations the median is given by:

[tex]\text{Median}=\frac{[\frac{n}{2}]^{th}\ \text{observation}\ +\ [\frac{n}{2}+1]^{th}\ \text{observation}}{2}[/tex]

In this case the mean number of votes per state is:

[tex]\text{Mean}=\frac{\text{Total number of electoral votes}}{\text{Total number of states}}[/tex]

There are n = 535 observations, This value is an odd number.

Then the median of the electoral votes is:

[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]

           [tex]=[\frac{535+1}{2}]^{th}\ \text{observation}\\\\=268^{th}\ \text{observation}[/tex]

Thus, the median is the 268th observation.

Answer:

To determine the mean number of electoral votes, add all of the votes in the table and divide by  

✔ 50

.

There are a total of 535 electoral votes. The mean is  

✔ 10.7

votes per state.

The median of the electoral votes is  

✔ 8

.

Step-by-step explanation:

Answer:

I assume that songs are $0.99 each.  Let x represent the number of songs you download.  Then the total cost of downloading x songs would be

C(x) = $5.00 + ($0.99/song)x

and ONLY integers = to or greater than 0 make sense here.  The domain is [0,  100) assuming you cannot buy more than 100 songs.

Personally I'd give the answer as "2, whole numbers more than or equal to zero."  However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense.  You'd pay $5 plus $0.99 for one song, in that case.

Step-by-step explanation:

c = 5j

c + j = 18

5j + j = 18

6j = 18

j = 3

c = 5(3) = 15

Answer: Carole is 15, Joe is 3

Answer:

Joe is 3 and Carole's age is 15

Step-by-step explanation:

Joe: x

Carole: 5x

5x+x=18

6x=18

x=3

Answer:

11/12

Step-by-step explanation:

Calculate the sum

rewrite the fraction

simplify the fraction

Solution 11/12

Answer: A (3, -4)

Step-by-step explanation:

A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.

If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).

4 is negative because you are going down below the x-axis.

Answer:

C

Step-by-step explanation:

To find the product you must multiply the two expressions:

[tex](x-3)*(x+7)[/tex]   Starting equation

[tex]x^{2} +7x-3x-21[/tex]   Use the FOIL method to multiply the two binomials

[tex]x^{2} +4x-21[/tex]  Combine like terms

Answer:

a. 65

b. D

Step-by-step explanation:

The question asks for an expression that solves for the profit that the company will make from each phone. The expression would be 65x, where 65 represents $65 profit from each phone, since $50 is spent and $115 is made, 115-50 gives you the profit, $65

D is the answer because the question asks for the expression that shows the earnings, or how much is made from each phone

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

-17/5

Use math papa it gives you the answer all you have to do is unput the equation

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5x^2 + x-3) - (-2x^3 + 4)=2x³+5x²+x-7

Answer:

2x^3 +5x^2 +x -7

Step-by-step explanation:

(5x^2 + x-3) - (-2x^3 + 4)

Distribute the minus sign

(5x^2 + x-3) +2x^3 - 4

Combine like terms

2x^3 +5x^2 +x -7

Answer:

Step-by-step explanation:

5.volume=8×7×6=336 mi³

6.r=16/2=8 yd

volume=4/3×π×8³=2048/3 π yd³

≈2144.7 yd³

7.r=2.5/2=1.25 in

v=πr²h=π×1.25²×5

volume of 150 cups=7.8125 π×150=1171.875 π in³≈3681.6 in³

8. statement not visible.

Answer:

since 100% is everything

100 - 65 = 35%

Step-by-step explanation:

35% of the lights are off

Answer:

35% are off

Step-by-step explanation:

The lights are either on or off

That is 100%

100 -65 = 35

65% are on

35% are off