You and a friend are heading to the movies. You each buy a ticket and you also want to buy some refreshments. The total cost of admission per person is, a, is $7.50 and you spent $15.50 on refreshments. Write an expression to represent the total cost of the trip. Then, find the total cost.

Answer:

[tex]x^3[/tex]-15[tex]x^{2}[/tex]+25x-125

Step-by-step explanation:

This is a quadratic equation, so we need to open the equation first. There are three (x-5), and then we multiply them together, and then combine like terms to get the answer.

(x-5)(x-5)(x-5)=

[x(x-5)-5(x-5)](x-5)=

([tex]x^{2}[/tex]-5x-5x+25)(x-5)=

([tex]x^{2}[/tex]-10x+25)(x-5)=

x([tex]x^{2}[/tex]-10x+25)-5([tex]x^{2}[/tex]-10x+25)

[tex]x^3[/tex]-[tex]10x^2[/tex]+25x-[tex]5x^2[/tex]-125=

[tex]x^3[/tex]-15[tex]x^{2}[/tex]+25x-125

Answer:

35000

Step-by-step explanation:

Since all numbers above 50 round to a hundred, we see that the number 34,971.22 has the tens digit over 5. We can then round this to 35,000.

Answer:

it is graph b , but im very sorry if yu  get it wrong mb:) i tried:)

Step-by-step explanation:

Answer:

left 7 and up 13

Step-by-step explanation:

The translation path of Point A (3, -8) to A'(-4,-5) exists 3 units down and 7 units to the left.

A translation in mathematics does not turn, but rather moves a shape left, right, up, or down. Congruent translations are those in which the translated shapes (or the image) seem to be the same size as the source ones. Just one or more directions have they shifted.

Each point in a figure is moved by the same amount and in the same direction during a translation, a type of transformation.

With a sort of transformation called translation, every point in a figure is moved the same distance in the same direction.

The translation path of Point A (3, -8) to A'(-4,-5) exists 3 units down and 7 units to the left.

To learn more about translation, refer to:

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Explanation:

Check out the diagram below. Locate -2 on the horizontal x axis. Draw a vertical line through this value. Mark where the vertical line crosses the curve. Call this point P. Then draw a horizontal line through point P to have it cross the y axis. This horizontal line crosses at y = 1

In short, x = -2 leads to y = 1

So that is why f(-2) = 1

This is another way of saying f(x) = 1 when x = -2.

Note: y = f(x) since both are outputs of a function

formula: A=bh

A=72

b=12

72=12h

h=72/12

h=6

Answer:

-18.

Step-by-step explanation:

|-3| = 3.

Hence |-3| * (-6) = 3 * (-6) = -18.

Answer:

the awnser is 18

Step-by-step explanation:

|-3| = 3.

Hence |-3| * (-6) = 3 * (-6) = -18.

Answer:no solution because it will equal 0

tep-by-step explanation:

Answer:

392

Step-by-step explanation:

7(8) + 3(8)(14)

56 + 24(14)

56 + 336

392

Answer:

392.

Step-by-step explanation:

7m + 3mn Substitute the variables.

7(8) + 3(8)(14) Multiply from left to right.

56 + 24*14 Multiply 24 by 14.

56 + 336 Add the products.

392 is the answer.

Answer:X-15

Step-by-step explanation:

Answer:

B. 0.03110

Step-by-step explanation:

Given

Probability of Hit = 60%

Required

Determine the probability that he misses at 6th throw

Represent Probability of Hit with P

[tex]P = 60\%[/tex]

Convert to decimal

[tex]P = 0,6[/tex]

Next; Determine the Probability of Miss (q)

Opposite probabilities add up to 1;

So,

[tex]p + q = 1[/tex]

[tex]q = 1 - p[/tex]

Substitute 0.6 for p

[tex]q = 1 - 0.6[/tex]

[tex]q = 0.4[/tex]

Next,is to determine the required probability;

Since, he's expected to miss the 6th throw, the probability is:

[tex]Probability = p^5 * q[/tex]

[tex]Probability = 0.6^5 * 0.4[/tex]

[tex]Probability = 0.031104[/tex]

Hence;

Option B answers the question

Answer:

b) 0.03110

Step-by-step explanation:

Got it right on the test.

Answer:

see attached.

Step-by-step explanation:

Answer:

[tex]110\geq x \leq 220[/tex]

Step-by-step explanation:

Given

Minimum: 110

Maximum = 220

Required

Write as interval notation

Let the real numbers be represented with x

We start by setting x greater than or equal to the minimum:

[tex]x \geq 110[/tex]

Then, we set x less than or equal to the maximum:

[tex]x \leq 220[/tex]

Write out both inequalities

[tex]x \geq 110[/tex] and [tex]x \leq 220[/tex]

This can be rewritten as:

[tex]110 \geq x[/tex] and [tex]x \leq 220[/tex]

Both inequalities can be merged to give:

[tex]110\geq x \leq 220[/tex]

Answer:

(110,220)

I not sure about this answer but if I correct than your welcome and if I wrong then sorry.

Answer:

The absolute value of a number is always positive. So that means you circled the correct one. GOOD JOB!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

absolute value will always be positive

Answer: 35.34

Step-by-step explanation:

(6.2)x(5.7)= 35.34

Hope this helps!

Answer:

B) 12.56

Step-by-step explanation:

The formula for circumference of a circle is 2πr.

Substitute r for 2 and it becomes 4π.

4π ≈ 12.56

Answer: is 12.56

Step-by-step explanation:

Answer:

The answer is C.8. The answer above is incorrect.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

on edge 2021

Step-by-step explanation:

25 - 3f

25 - 3(7)

25 - 21

4 pounds of potting soil remains

♡ Hope it helps ♡

Answer:

60-x

Step-by-step explanation:

a number = x

Answer:Jacob could compare the unit rates of cost per ounce. The unit rate that is less per ounce is the better deal. Not He can look at the cost per ounces!

Im late but hope this helps anyone doing makeup work!

Brand A costs $0.37 or 37 cents per ounce and Brand B costs $0.31 or 31 cents per ounce.

We need to find the unit rate for each brand. Round to the nearest cent (hundredth).

The definition of an ounce is 1/16 of a pound or a very small amount of something.

According to column 1, 8 ounces of tomatoes would cost 2 dollars and 99 cents. So, the cost of one ounce of tomatoes can be calculated as follows.

When the cost of one ounce of tomatoes is rounded off to the nearest cent, it can be written as $0.37.

According to column 2, 16 ounces of tomatoes would cost 4 dollars and 99 cents. So, the cost of one ounce of tomatoes can be calculated as follows.

When the cost of one ounce of tomatoes is rounded off to the nearest cent, it can be written as $0.31.

Therefore, Brand A costs $0.37 or 37 cents per ounce and Brand B costs $0.31 or 31 cents per ounce.

To learn more about the ounces visit:

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Complete question:

Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes.

A 2-column table with 2 rows. Column 1 is labelled Brand A with entries 8 ounces, 2 dollars and 99 cents. Column 2 is labeled brand B with entries 16 ounces, 4 dollars and 99 cents.

Find the unit rate for each brand. Round to the nearest cent (hundredth).

Brand A costs

per ounce.

Brand B costs

per ounce.

Answer:

x=4

Step-by-step explanation:

18=3(3x-6)

Divide each side by 3

18/3=3/3(3x-6)

6 = 3x-6

Add 6 to each side

6+6 = 3x-6+6

12 = 3x

Divide by 3

12/3 = 3x/3

4 =x

Answer:

TRUE

Step-by-step explanation:

if the adjacent angles are equal, then they are right angles.

Answer:

2 - 2n

Step-by-step explanation

We can use n for the number.

2 - 2(n)

2- 2n

Answer:

2(n-1)

Step-by-step explanation:

Let n be the number

=>2-2n

=>2(n-1)

Answer:

MO = 17

Step-by-step explanation:

First, you need to define what if the unknown x.

segment MN and NO are equal to MO.

thus, your equation for the combination is x +8

Now set the values equal to each other

x + 8 = 3x - 10 (subtract x from both sides)

8 = 2x - 10 ( get your x value alone, add 10 to both sides)

18 = 2x (simplfy)

x = 9

Now plug x value into MO

3 (9) - 10 = 17

Check with opposing equation:

9 + 8 = 17 √

Answer:

2 in

Step-by-step explanation:

Answer:

35(3)+168= 278

Step-by-step explanation:

35(x)+168

x= the hours of labor

Answer:

[tex] d = \sqrt{205} [/tex]

Step-by-step explanation:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(-8 - (-2))^2 + (7 - (-6))^2} [/tex]

[tex] d = \sqrt{(-6)^2 + 13^2} [/tex]

[tex] d = \sqrt{36 + 169} [/tex]

[tex] d = \sqrt{205} [/tex]

Answer:

√205

Step-by-step explanation:

Plug into distance formula

Answer:

x = 2x + 15

x - 2x = 2x +15

-x = 15

-x /- = 15/-

x = -15

Step-by-step explanation:

hope that will help you.

Answer:

x = −15

Step-by-step explanation:

x−2x = 2x+15−2x

−x = 15

−x/−1 = 15/−1

x = −15