A certain roller coaster can accommodate 1600 riders per hour a digital sign states that there are 345 people in line if you get in line about how many minutes will it take you to get to the front of the line

Answer:24

Step-by-step explanation:

Given the information, we can determine that the cost of the toothbrush is $1.15. To arrive at this, we created an equation based on the given information and solved for the unknown, which in this case is the cost of the toothbrush.

If Brooke buys a toothbrush and toothpaste for $2.95, and the toothbrush costs $.65 less than the toothpaste, we have to use the information to solve for the cost of the toothbrush.

Let's define the cost of the toothpaste as x. Therefore, the cost of the toothbrush would be x - $0.65 (since the toothbrush costs $0.65 less than the toothpaste).

The combined cost of the toothbrush and toothpaste is $2.95, so we can set up the equation: x + (x - $0.65) = $2.95

If we simplify and solve this equation, we get x = $1.80. That's the cost of the toothpaste. The cost of the toothbrush would therefore be $1.80 - $0.65 = $1.15.

So, the toothbrush costs $1.15.

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Givens

x = - 1/3

y = 3x - 2

Problem solve for y

y = 3(-1/3) - 2

but 3 * (1/3) = 1

and 3 * (- 1/3) = - 1

So y = -1 - 2

y = - 3

Think of this as a money question. If you are one dollar in the whole and you spend 2 more, you are not 3 in the whole which is minus 3.

Answer:  The required expression is [tex]3x^3+2x^2+3x+2.[/tex]

Step-by-step explanation:  We are given the following two functions :

[tex]f(x)=3x+2\\\\g(x)=x^2+1.[/tex]

We are to find the expression equivalent to [tex](f*g)(x).[/tex]

We know that

for any two functions p(x) and q(x), we have

[tex](p*q)(x)=p(x)\times q(x).[/tex]

Therefore, we get

[tex](f*g)(x)\\\\=f(x)\times g(x)\\\\=(3x+2)(x^2+1)\\\\=x^2(3x+2)+1(3x+2)\\\\=3x^3+2x^2+3x+2.[/tex]

Thus, the required expression is [tex]3x^3+2x^2+3x+2.[/tex]

Answer:

[tex]-46[/tex] meters per year.

Step-by-step explanation:

We have been given that a glacier advanced down a mountain from an elevation of 2010 m to 1780 m in 5 years.

[tex]\text{Rate of change}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\text{Rate of change}=\frac{1780-2010}{5-0}[/tex]

[tex]\text{Rate of change}=\frac{-230}{5}[/tex]

[tex]\text{Rate of change}=-46[/tex]

Since the glacier is melting down, therefore, the glacier's rate of change would be [tex]-46[/tex] meters per year.

Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is clear that the vertices of the parallelogram are (0,0), (0,-6), (4,-8) and (4,-2).

If a figure rotated 180° about (a,b), then

[tex](x,y)\rightarrow (2a-x,2b-y)[/tex]

If the figure rotated 180° about (2,-4), then

[tex](x,y)\rightarrow (2(2)-x,2(-4)-y)[/tex]

[tex](x,y)\rightarrow (4-x,-8-y)[/tex]

So, the vertices of image after rotated 180° about (2,-4) are

[tex](0,0)\rightarrow (4,-8)[/tex]

[tex](0,-6)\rightarrow (4,-2)[/tex]

[tex](4,-8)\rightarrow (0,0)[/tex]

[tex](4,-2)\rightarrow (0,-6)[/tex]

The vertices of image are same as vertices of preimage. So, 180° rotation about (2,-4) maps the figure onto itself.

Therefore the correct option is C.

After 9 months, the amount she has paid for the car is 2375.

Given,

Felicity put down 800 on a used car.

She took out a loan to pay off the balance of the cost of the car.

Monthly payment = 175.

We need to find the amount paid for the car after 9 months.

It is a sum of money that a buyer pays in the early stages of purchasing a good.

We have,

Down payment = 800

Monthly pay = 175

So we can write it as,

1 month = 175

Multiply 9 on both sides.

We get,

9 x 1 month = 9 x 175

9 months = 1575

The total amount she has paid after 9 months is :

= Down payment + 9 months payment

= 800 + 1575

= 2375.

Thus after 9 months, the amount she has paid for the car is 2375.

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When rolling a standard die and another die with faces having either 0 or 6 spots, the possible total values y range from 1 to 12, excluding the numbers 5 and 6 twice due to the unique nature of the second die.

The question asks about the possible values for the total number of spots y on the up-faces when you roll two nonstandard dice: a standard six-sided die with faces having 1, 2, 3, 4, 5, and 6 spots, and another die with three faces having 0 spots and three faces having 6 spots. To find y, we need to consider all the possible outcomes of rolling these two dice and summing the numbers of spots on the up-faces.

Therefore, the possible values for y are 1, 2, 3, 4, 5, 5, 7, 8, 9, 10, 11, and 12.

2(6-7x) = -8(x+6)

 multiply the numbers inside the parenthesis with the numbers outside of them:

12 -14x = -8x-48

add 12 to each side:

-14x =-8x -36

add 8x to both sides

-6x = -36

divide both sides by-6

x = 6

B) On e2020 at least

Hope I helped!

The values that can be determined from the table are:

A = 23, B = 38, C = 19, D = 57 and E = 81

Equations are expressions that have equal values, and they are represented by the "=" sign

The table entries are given as:

                   Rhinestone Cowboy Dreadlock Holiday MacArthur Park Total

Republican         B                                   33                            C                  90

Democrat            A                                   24                           34                  E

Total                   61                                    D                            53                171

From the table, we have the following equations

[tex]B + 33 + C = 90[/tex]

[tex]A + 24 + 34 = E[/tex]

[tex]61 + D + 53 = 171[/tex]

The above equations become:

[tex]B + 33 + C = 90[/tex]

[tex]B + C = 57[/tex]

[tex]A + 24 + 34 = E[/tex]

[tex]A + 58 = E[/tex]

[tex]61 + D + 53 = 171[/tex]

[tex]D= 57[/tex]

Also from the table, we have the following equations

[tex]B + A = 61[/tex]

[tex]C + 34 = 53[/tex]

[tex]90 + E = 171[/tex]

Solve for C and E in the above equations

[tex]C + 34 = 53[/tex]

[tex]C = 19[/tex]

[tex]90 + E = 171[/tex]

[tex]E = 81[/tex]

Recall that:

[tex]A + 58 = E[/tex]

So, we have:

[tex]A + 58 = 81[/tex]

[tex]A = 23[/tex]

Recall that:

[tex]B + A = 61[/tex]

So, we have:

[tex]B + 23 = 61[/tex]

[tex]B = 38[/tex]

Hence, the values that can be determined from the table are:

A = 23, B = 38, C = 19, D = 57 and E = 81

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f(x) = x^2-25

 inverse:

y = x^2-25

x = y^2-25

y = sqrt(5 +25)

 Answer is B

multiply both sides by 2 to get

2A = (a+b)*h

divide both sides by h

 to get 2A/h = a+b

 subtract b from both sides to get a = 2A/h -b

3rd choice is correct

Option C - a = [tex]$\frac{2A-bh}{h}[/tex] is the correct alternative.

We have the formula for a trapezoid that relates the area - A, the two bases - a and b and the height - h as follows -

[tex]$A=\frac{(a+b)}{2} h[/tex]

We have to solve for ' a '.

On solving -

x( 1 + 2 + 3 + .... + n) = π

[tex]\frac{xn(n+1)}{2} =\pi[/tex]

[tex]x =\frac{2\pi }{n(n+1)}[/tex]

According to the question, we have -

[tex]$A=\frac{(a+b)}{2} h[/tex]

2A = (a + b)h

2A = ah + bh

2A - bh = ah

a = [tex]$\frac{2A-bh}{h}[/tex]

Hence, Option C is the correct alternative.

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