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aev [14]
4 years ago
8

If B is the midpoint of AC, and AC = 8x – 20, find BC. 3x - 1 A B C

Mathematics
1 answer:
sammy [17]4 years ago
6 0

Answer:

x = 9

Step-by-step explanation:

Since B is the midpoint, that means segment AB has to be the same length as BC.

Therefore:

2(3x-1)=8x-20

6x-2=8x-20

18=2x

9=x

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Order of operation for (-6) (4) (-2)
olchik [2.2K]
It doesnt matter because you multiplying them all so you can do them in any order so -6 x 4 x -2= -24 x -2= 48
3 0
3 years ago
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The front face of a laundry basket is in the shape of a trapezoid as shown. A trapezoid has a base of 24 inches, height of 12 in
Y_Kistochka [10]

Answer:

264 in²

Step-by-step explanation:

Parameters given:

Base, b = 24 inches

Height, h = 12 inches

Top side length, a = 20 inches

We are told that the front face of the basket is in the shape of a trapezoid.

The area of a trapezoid is:

A = ½ * (a + b) * h

The area of the front face of the basket is:

A = ½ * (20 + 24) * 12

A = ½ * 44 * 12

A = 264 in²

The area of the front face of the basket is 264 in².

7 0
3 years ago
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Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
miss Akunina [59]

Answer:

Here's what I get.

Step-by-step explanation:

Part A. Equation in standard form

The question is asking you to find the equation of a straight line that passes through two points

Let x = the number of days

and y = the cost

Then the coordinates of the two points are (2,225) and (5,480).

(i) Calculate the slope of the line

\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\& = & \dfrac{480 - 225}{5 - 2}\\\\& = & \dfrac{255}{3}\\\\& = & 85\\\end{array}

In other words, the daily rental is $85/day.

(ii) Calculate the y-intercept

\begin{array}{rcl}y & = & mx + b\\480 & = & 85 \times 5 + b\\480 & = & 425 + b\\b & = & 55\\\end{array}

(iii) Write the equation for the line

y = 85x + 55

That is, the cost is $55  plus $85/day

Part B. Equation in function notation

Replace y with ƒ(x)

ƒ(x) = 85x + 55

Part C. Graphing

Let's say you want to plot a graph of the rental cost for up to ten days.

(i) Calculate two points on the graph.

When x = 0, y = 85; when x = 10, y = 905.

(ii) Scale your axes

A good number of intervals is about ten.

Your x-axis should have tick marks at 1-day intervals.

Your largest y-value is 905. Ten intervals would make about $90/interval. However, you should round that up to $100/interval for easy interpolation.

Your y-axis will run from 0 to $1000 in $100 intervals.

Plot your two points and draw a straight line through them.

(iii) Axis labels

x represents the number of days, so the label on the x-axis could be "No. of days."

y represents the cost of renting the boat, so the label on the y-axis could be "Rental cost."

Your graph should resemble the one below.

4 0
3 years ago
8.97in exlanded form
kvasek [131]
8+.9+.07 eight and ninety seven hundredths
5 0
3 years ago
The present shown below is a cube.
Furkat [3]

Answer:

2400cm^2

Step-by-step explanation:

Ok so to find the surface area of a cube is actually quite simple:

All of the cubes faces have the same area and the surface area is simply the total area of all of the cubes faces.

So to calculate this we can simply multiply the area of one face by the number of total faces (6)

The area of one face is 20 x 20 = 400

The surface area of the cube is: 400 x 6 = 2400cm^2

5 0
3 years ago
Read 2 more answers
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