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fiasKO [112]
3 years ago
12

Mrs. Hall bought a package of 8 pencils for $4.64. What is the unit price per pencil?

Mathematics
2 answers:
ahrayia [7]3 years ago
8 0

Answer:

$0.58

Step-by-step explanation:

There are 8 pencils per package. To find the value of each pencil, divide the cost by 8

4.64/8 = $0.58

shusha [124]3 years ago
7 0

Answer:

$0.58

Step-by-step explanation:

unit means one, or the rate or price of each pencil. so if the total was 4.64, youd divide 4.64 by 8, which comes out to $0.58 per pencil

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The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?
Triss [41]

Answer:

x^2+ 18x -130=0

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

First, calculate the area of the big rectangle using:

Area = Length * Width

So:

A_1 = (x + 6) * (3x - 2)

The smaller rectangle

A_2 = (x - 1) * (2x)

The difference between this areas give the area of the shaded region.

So:

A_1 - A_1 = 118

(x+6)*(3x-2) - (x-1)*2x = 118

Open brackets

3x^2 - 2x + 18x -12 -2x^2 +2x = 118

Collect like terms

3x^2 -2x^2- 2x +2x+ 18x -12   - 118=0

x^2+ 18x -130=0

<em>The above equation can be used to solve for x</em>

4 0
3 years ago
If a number a is chosen at random from the set
Ivanshal [37]

Answer:

D. 3/19

Step-by-step explanation:

12/1 = 12

12/2 = 6

12/3 = 4

These are the only ones that make the equation true.

There are also only 19 numbers because they need to be less than 20 like the question indicated. Therefore, the answer is D.

5 0
3 years ago
Write an equation in slope-intercept form: (1,6) and (2,3) are on the line
s344n2d4d5 [400]

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

m \:  =  \frac{y1 - y2}{x1 - x2}  \\  =  \frac{6 - 3}{1 - 2}  \\ =  \frac{3}{ - 1}  \\  =  - 3

Substitute x = 1 and y = 6 into equation,

6 = ( - 3)(1) + c \\ 6 =  - 3 + c \\ c = 6 + 3 \\  = 9

Therefore substituting m and c value, equation of line is

y =  - 3x + 9

5 0
3 years ago
If 1 ft = 1.894 x 10​ -4​miles, convert 20.0 inches to miles
Yakvenalex [24]

Answer:

3.1567 * 10^-4 miles

Step-by-step explanation:

1 ft = 1.894 * 10^-4 miles , so

1 inch = 1.894 * 10^-4 / 12  miles

= 0.15783 * 10^-4

= 1.5783* 10^-5 miles  ( in scientific form).

Multiplying this by 20 we get

31.567 * 10^-5

= 3.1567 * 10^-4 miles.

3 0
3 years ago
PLEASE HELP ASAP THANK YOU
Nadya [2.5K]
<span>Simplifying 2x + 18y = 36 Solving 2x + 18y = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18y' to each side of the equation. 2x + 18y + -18y = 36 + -18y Combine like terms: 18y + -18y = 0 2x + 0 = 36 + -18y 2x = 36 + -18y Divide each side by '2'. x = 18 + -9y Simplifying x = 18 + -9y</span>
3 0
3 years ago
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