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Mnenie [13.5K]
3 years ago
13

Which is the best estimate of 249 times 2 by using rounding or compatible numbers

Mathematics
1 answer:
jasenka [17]3 years ago
6 0
480 or 500 depending on if you want to round to the nearest 10 or the nearest 100
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Violet contributes 12% of her $55,700 annual salary to her 401(k) plan. What is her pretax income?
NikAS [45]
You have that:

 - Her contribution from her salary <span>to her 401(k) plan, </span>is: 12%.
 - Her annual salary is: $55,700.

 Then, to solve this problem and calculate her pretax income, you must following the steps below:

 1. You must calculate the amount that Violet contributed to her 401(k) plan. So, you have:

 12%/100=0.12

 ($55,700x0.12)=$6,684 

 2. Now, you must subtract her annual pay ($55,700) by the amount obtained ($6,684), as below:

 Pretax income= $55,700-$6,684
<span> Pretax income=$49,016
</span><span>
 What is her pretax income?

 The answer is: Her pretax income is </span>$49,016
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4 years ago
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Two similar triangles are shown
slavikrds [6]

Answer: D

Step-by-step explanation:

Because they are similar all u have to do is add the sides

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3 years ago
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Find ten rational numbers between -1 by 5 and 1 by 2 ​
uysha [10]

Answer:

Step-by-step explanation:

First both the rational numbers should have same denominators. So, find least common denominator

Least common denominator is 10

\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\

Now multiply  the numerator  and denominators of the both the numbers by 10.

\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational  \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}

8 0
3 years ago
A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei
ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is 576\ cm^{3}

Part 2) The total surface area of the paperweight is 400\ cm^{2}

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the square base

H is the height of the pyramid

B=8^{2}=64\ cm^{2}

H=3\ cm

substitute

V=\frac{1}{3}(64)(3)=64\ cm^{3}

step 2

Find the volume of the cube

The volume of the cube is equal to

V=b^{3}

V=8^{3}=512\ cm^{3}

step 3

Find the volume of the paperweight

64\ cm^{3}+512\ cm^{3}=576\ cm^{3}

Part 2) what is the total surface area of the paperweight?​

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

SA=5b^{2}

SA=5(8^{2})=320\ cm^{2}

step 2

Find the lateral area of the pyramid

LA=4[\frac{1}{2}bh]

LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}

step 3

Find the total surface area of the paperweight

320\ cm^{2}+80\ cm^{2}=400\ cm^{2}

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3 years ago
What should you do to find the meaning of a term
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