Apply the Distributive Property 5(x + 3)

Answers

Answer 1

Answer:

Answer: 5x + 15

Step-by-step explanation: The distributive property tells us that if we're given an expression such as 5(x + 3), we can multiply the 5 by both the x and the 3 to get 5x + 15.

Answer 2

Answer:

Answer:

5x+15

Step-by-step explanation:

5*x+5*3

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A welding drawing shows that the weld-root reinforcement cannot exceed " in thickness. Your weld measurement tools are metric, so this value needs to be converted to millimeters. You know that one inch equals 2.54 centimeters. What is the maximum weld-root reinforcement allowed in millimeters? Round your answer to the nearest tenth of a millimeter.

Answers

Answer:

3.2 millimeters

Step-by-step explanation:

1/8*2.54 *10 = 3.175

= 3.2 millimeter. (rounded to nearest tenth)

Final answer:

To convert the thickness from inches to millimeters, the given value (in inches) should be multiplied by 25.4 and the result rounded to the nearest tenth of a millimeter.

Explanation:

The subject of this question is a conversion of units from inches to millimeters. In such conversions, one of the basic knowledge is that 1 inch is equivalent to 2.54 centimeters (cm). However, in this case, we need the answer in millimeters (mm), not cm. Keep in the back of your mind that 1 centimeter (cm) is equal to 10 millimeters (mm). This means, 1 inch will be equivalent to 2.54 cm, which further converts to 25.4 mm.

To find out the maximum value of weld-root reinforcement in millimeters, we simply need to apply the conversion factors. To convert the given thickness in inches to millimeters, you multiply the given value (in inches) by 25.4. Round your answer to the nearest tenth of a millimeter.

Learn more about Unit Conversion here:

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Find the two numbers whose sum is 24 and whose product is as large as possible.(Please show your work, No guess)!!!

Answers

Let, the numbers are: x, (24-x)
Let, P(x) denote their products. Then, we have:
P(x) = x(24-x) = 24x - x²
P'(x) = 24-2x
P''(x) = -2

Now, P'(x) = 0 ⇒ x = 12
Also,
P''(12) = -2 < 0

So, By second derivative test, x = 12 is the point of local maxima of p. Hence the product of the numbers is the maximum when the numbers are 12 and (24-12) = 12

So, In short that numbers would be 12,12

Hope this helps!

What percent of 68 is 34

Answers

Answer:

Step-by-step explanation:

Find the surface area of the cube shown below. units 2 2 squared

Answers

The surface area of the cube with a side length of 2 units is 24 units squared

How to determine the surface area?

The side length of the cube is given as:

l = 2

The surface area is calculated as:

Surface area = 6l^2

This gives

Surface area = 6 *2^2

Evaluate

Surface area = 24

Hence, the surface area of the cube is 24 unit squared

Answers

Answer:

12:6 or 6:12 cant remember but i thinks its the first one lol

Step-by-step explanation:

If ΔABC = ΔDEF, angle m∠A = 50, and angle m∠E = 30, what is angle m∠C?

Answers

100 degrees
Triangles add up to 180 degrees
30 + 50 = 80
180 - 80 = 100

When you indicate triangle congruency, the order of the letters matter. As you see these statements, look at how the side length names correspond to how the letters are written in its order, ΔABC ≅ ΔDEF. (By the way, triangles aren't equal with an = sign. It's a ≅ congruency sign.)

AB is congruent or the same length as DE.

BC is congruent or the same length as EF.

AC is congruent or the same length as DF.

In the same way, all of the angles in the corresponding order are ALSO congruent. By the way, we say that angles are congruent and angle MEASURES (like 30 degrees) are equal.

m∠A = m∠D

m∠B = m∠E

m∠C = m∠F

In the same way, we can try to find m∠C, or measure C!

1. Let's find the missing angle!

So, we know that m∠A is 50 degrees and m∠E is 30 degrees. Since we know that m∠E = m∠B because of the order of the triangles, now we know two of the angles in triangle ABC.

m∠A = 50 degrees

m∠B = 30 degrees

m∠C = 180 degrees - (50 + 30) = 100 degrees

(We minus from 180 degrees because 180 degrees is the sum of the angles in a triangle!)

And that's it! If you have any questions, please feel free to ask questions. I'm not here to judge, and I'm only here to help. Again, ask questions if you need help. It's crucial that you know the basics of geometry!

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