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2 years ago

Find the midpoint of the segment with the following endpoints. (-3,-3) and (1, 2)

Mathematics

2 answers:

Vlad [161]2 years ago

6 0

$\left(\frac{-3+1}{2}, \frac{-3+2}{2} \right)=\boxed{\left(-1, -\frac{1}{2} \right)}$

Vaselesa [24]2 years ago

6 0

Is equal to (0,-5) and (4,6) in the line

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the jars of paint in the art room have different amounts of paint the green paint jar is 4/8 School the purple paint jar is 4/6

s344n2d4d5 [400]

4/8 is less than 4/6. therefore, the green jar is less full.

4 0

3 years ago

The area of a room is 600 square feet. The length is (x+2) feet and the width is (x+3) feet. Find the dimensions of the room

m_a_m_a [10]

Create an equation using the formula for area of a rectangle; area = width * length
(X + 2)(x + 3) = 600
Multiply the dimensions.
X^2 + 3x + 2x +6 = 600, or simplified x^2 +5x + 6 = 600.
Subtract 600 to get the following:
X^2 + 5x - 594 = 0
Factor by x:
(X - 22)(x + 27) = 0
Solve for x
X - 22 = 0
X = 22.
Use the POSITIVE VALUE of x as you can’t have a negative area for a room.
Then substitute 22 for x to get the dimensions
(22+ 2) or 24 for length and (22+3) or 25 for width.

6 0

3 years ago

Christopher invests $5,000 after 20 years at 2% interest, how much did he earn in interest?

umka2103 [35]

Answer:

At the end of 20 years, your savings will have grown to $16,036. You will have earned in $11,036 in interest.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A cold tablet contains the following amounts of active ingredients: acetaminophen 325 mg, chlorpheniramine maleate 2 mg, and dex

kakasveta [241]

Answer:

The number of tablets that can be prepared is 3076.

Step-by-step explanation:

The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:

$325 mg + 2mg+15 mg=342 mg$

The percentages of each component in the formula are:

Acetaminophen: $\frac{325mg*100}{342mg}=95.03$ %

Chlorpheniramine maleate: $\frac{2mg*100}{342mg} =0.58$ %

Dextromethorphan hydrobromide: $\frac{15mg*100}{342mg}=4.39$ %

If 1 Kg= $10^{6}$ mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:

$\frac{10^{6} mg *0.58}{95.03}=6153.85 mg$

Since there are 125 g = 125000 mg of chlorpheniramine maleate, there is enough of these ingredient to run the available acetaminophen out. Thus, the total amount of active ingredients that can be prepared with 1 kg of acetaminophen is:

$\frac{10^{6}mg*100}{95.03}=1052307.7mg$

Since each tablet weighs 342 mg, the number of tablets that can be prepared is:

$\frac{1052307.7mg}{342mg}=3076.923$

Which means that 3076 tablets can be prepared and a there will be a remanent of 0.923*342 mg = 315.69 mg of active ingredients.

7 0

3 years ago

Angle P is an acute angle.

TEA [102]

A acute angle is always less than 90 degrees. So the answer is A.

6 0

3 years ago