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belka [17]
3 years ago
14

A box contains three pen, two markers and a highlighter. Tara selects one item at random and does not return it to the box. She

then selects item at random. What is the probability the Tara selects 1 pen and 1 marker?
Mathematics
1 answer:
kakasveta [241]3 years ago
3 0
Two out of six probability
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The length of a rectangle is 6 in. more than the width. The perimeter of the rectangle is 24 in. Find the dimensions of the rect
klasskru [66]

1. First, let us define the width of the rectangle as w and the length as l.

2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:

l = w + 6

3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:

24 = 2w + 2l

4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:

24 = 2w + 2l

if l = w + 6, then: 24 = 2w + 2(w + 6)

24 = 2w + 2w + 12 (Expand 2(w + 6) )

24 = 4w + 12

12 = 4w (Subtract 12 from each side)

w = 12/4 (Divide each side by 4)

w = 3 in.

5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :

l = w + 6

l = 3 + 6

l = 9 in.

6. Therefor the rectangle has a width of 3 in. and a length of 9 in.

8 0
3 years ago
What is 2(x+6)-6x in simplest form
Novosadov [1.4K]

Answer:

-4x + 12

Step-by-step explanation:

2(x+6)-6x

2x + 12 - 6x

combine llike terms

2x - 6x = -4x

-4x + 12

3 0
2 years ago
Read 2 more answers
Could I have some help please
solmaris [256]
Since AB=AD, the triangle on the left is isosceles and has two 35 degree angles.  Since the sum of all the interior angles is 180 deg, 

x = 180 deg - 2(35 deg) = 110 deg (answer)
3 0
3 years ago
How can you use a strip diagram to convert 136 ounces into cups
matrenka [14]
Strip diagram is a tool that is used to be able to solve the given problem accurately.
I will show you how to do it.
we have 136 ounces that needs to be convert to  cups
1 ounce = 0.125 cup
In 1 cup = 8 ounce 
136 ounces / 8 cups = 17 cups

6 0
3 years ago
In the graph below, the area above f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where
drek231 [11]

Answer: OPTION C.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be or >.

Since the shaded region A is above the line, the symbol is >

Observe that its y-intercept is:

b=3

The line of g(x) is solid. This means that the symbol of the inequality must be \leq or \geq.

Since the shaded region B is below the line, the symbol is\leq .

Observe that its y-intercept is:

b=-2.

Based on this, we can conclude that the graph represents the following System of Inequalities:

\left \{ {{y\leq 2x -2} \atop {y >-x + 3}} \right.

8 0
3 years ago
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