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3 years ago

2(x + 4) + 5( 6 - x)

Mathematics

1 answer:

viktelen [127]3 years ago

4 0

Answer:

3x+32

Step-by-step explanation:

2(x+4) +5(6-x)

Use the distributive property

2x+8+24-5x

Simplify

3x+32

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how many triangles can you make with the given lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeter

netineya [11]

None. The triangle inequality states that the sum of the smaller two sides of a triangle must be greater than the third side. As 4+5=9, this inequality is false in this case, so these sides cannot create a triangle.

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3 years ago

What’s the answer to this question?

lutik1710 [3]

Answer: B

Step-by-step explanation:

(f+g)(x) means f(x)+g(x). It is saying to add f(x) and g(x). Since we were given f(x) and g(x), we can directly add them together.

(f+g)(x)=4x+2+x²-6 [combine like terms]

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3 years ago

It took Leo 3 hours to type a 4125-word essay. Sarah typed her 3800-word essay in 3 hours and 10 minutes. At these rates, how mu

scoray [572]

Answer:

Sarah would take 35 minutes longer than Leo to type 5500 word essay

Step-by-step explanation:

Let us solve the question

∵ It took Leo 3 hours to type a 4125-word essay

→ The rate is the number of words divided by the time

∴ Leo's rate = 4125 ÷ 3 = 1375 words/hour

∵ Sarah typed her 3800-word essay in 3 hours and 10 minutes

→ Change the 10 min to the hour by divide it by 60

∵ 3 hours 10 min = 3 + $\frac{10}{60}$ = 3 + $\frac{1}{6}$ = 3 $\frac{1}{6}$ hours

∴ Sarah's rate = 3800 ÷ 3 $\frac{1}{6}$ = 1200 words/hour

∵ Leo will type a 5500-word essay

→ Divide it by his rate to find the time taken

∴ Leo takes = 5500 ÷ 1375 = 4 hours

∵ Sarah will type a 5500-word essay

→ Divide it by her rate to find the time taken

∴ Sarah takes = 5500 ÷ 1200 = 4 $\frac{7}{12}$ hours

→ Find the difference between their times

∵ The difference = 4 $\frac{7}{12}$ - 4 = $\frac{7}{12}$ hour

→ Multiply it by 60 to change to minutes

∴ The difference = $\frac{7}{12}$ × 60 = 35 minutes

∴ Sarah would take 35 minutes longer than Leo to type 5500 word essay

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3 years ago

A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of t

Olenka [21]

Area of the base = pi*(4x+2)^2 = pi*(16x^2 +16x +4)

volume of cylinder = pi*r^2 *h

V = pi *(16x^2 +16x +4)(5x+4) = pi*(80x^3 +80x^2 +20x +64x^2 +64x +16) =

= pi*(80x^3 +144x^2 +84x +16)

than we consider it without pi so result choice A. is right sure

hope helped

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3 years ago

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3 years ago

2(x + 4) + 5( 6 - x)​

2(x + 4) + 5( 6 - x)