MATHEMATICS HIGH SCHOOL

The local video store charges a monthly membership fee of $5 and $2.25 per video, write this as a algebraic expression

Answers

Answer 1
Answer:

Answer:

$5 + ($2.25x)

Step-by-step explanation:

The local video store charges a monthly membership fee = $5

and per video charges = $2.25

Let the videos taken = x

So, the algebraic expression to calculate the total monthly charges will be

$5 + ($2.25x)
Answer 2
Answer: $5+ ($2.25x)=y

I believe this is correct.

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Write 4 /2 over 5 as an improper fraction
Plz halp i need to get this right.
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True or false, A function is a relation if and only if the x-values do not repeat in a given set

How do you turn 28/15 into a mixed number

Answers

(28)/(15) = (15 + 13)/(15) = (15)/(15) + (13)/(15) = 1 + (13)/(15) = 1 (13)/(15)
Your answer is 1 1/15

Hope this helps.

4)The temperature dropped 3 degrees every hour for 3 hours. Write an expression and write an
integer to represent the total temperature change.

Answers

Answer:

I think the integer that represents the change in temperature is -15.

Final answer:

The expression representing the temperature change is 3 * -3, and the total temperature change, calculated from this, is -9 degrees.

Explanation:

In this problem, we are given that the temperature dropped 3 degrees every hour for a total of 3 hours. To find the total temperature change, we must multiply the number of hours by the change in temperature every hour. So, the expression to represent this situation is 3 * -3.

To find the total temperature change, we plug in the given numbers into the expression. This results in -9. The negative sign indicates a drop in temperature. So, the integer representing the total temperature change is -9 degrees.

Learn more about Temperature Change here:

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What is the domain, range, and function of y=absolute value of x-3 +2i put the domain as 3 and the range as 2 and the function as yes

Answers

y=|x-3|+2\n\nDomain:x\in\mathbb{R}\n\nRange:y\in[2;\ \infty)\ because\ |x-3|\geq0\ and\ +2

Based on the graph, which statement is correct about the solution to the system of equations for lines K and J?(1, 1) is the solution to both lines K and J.
(−1, 0) is the solution to line K but not to line J.
(1, 1) is the solution to line K but not to line J.
(0, 4) is the solution to both lines K and J.

Answers

The answer is (1,1) since that is where J and K intersect.

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

Answer:

C

Step-by-step explanation:

The height, width, and length of the box will be (x)(8 - 2x)(10 - 2x). The volume of the box will be 4x3 - 36x2 + 80x = 0 Use a graphing calculator to graph the polynomial. Use the maximum feature to see the greatest volume the box can have. Be sure to set your window accordingly and think about what constraints are on the box. The maximum volume for the box is 52 in3. The cut would be 1.5 inches long. This is where the graph crosses the x-axis.

The length of a rectangle is three times longer than its width. The perimeter of the rectangle is 16 feet. If x represents the width of the rectangle, which equation can be used to find its value?

Answers

l = 3x
perimeter = 2(l + w) = 2(3x + x) = 2(4x) = 8x = 16
x = 16/8 = 2 feet
l = 3x = 3 * 2 = 6 feet
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