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Pie
3 years ago
6

Simplify the following expressions. Assume all variables are positive.

Mathematics
1 answer:
zvonat [6]3 years ago
6 0
1) 49^43/12
2)1/9
3) 2x^6
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How to simplify x+9+1+3x and
maxonik [38]

Answer/Step-by-step explanation:

[1] x+9+1+3x

Add the numbers

x + 10 +3x

Combine like terms

4x+10

Common factor

2(2x+5)

<u>Solution = </u><u>2(2x+5)</u>

<u>.............................................................................................................................................</u>

[2] 5a+6c+2a+3c

Combine like terms

7a+6c+3c

Combine like terms

7a+9c

<u>Solution</u><u> = 7a + 9c</u>

<u>...............................................................................................................................................</u>

[3] 5n+6m+3n

Combine like terms

8n + 6m

Rearrange terms

6m + 8n

<u>Solution </u><u>= 6m+8n</u>

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[RevyBreeze]

5 0
2 years ago
7 Each day from Monday to Friday, Enrico uses a rideshare scooter to
nekit [7.7K]

Answer:

One all-around trip takes 2.6, while to and from work takes 1.3 miles

Step-by-step explanation:

We know that he rides to and from work from Monday to Friday. This is a total of five days, and since he goes to and from work, he does it twice, meaning he has 5 x 2 = 10 trips. These 10 equal trips all sum to 13 miles, so one trip takes 1.3 miles.

7 0
3 years ago
A 64-foot tall monument casts a shadow 16 feet long. If Kyle is stsnding nearby and is 6'3 tall, find the length of his shadow.​
Helen [10]

Answer: Length of his shadow is 18 feet.

Step-by-step explanation:

Since we have given that

Length of tall monument = 64 foot

Length of shadow = 16 feet

Length of pole where Kyle is standing = 6 feet 3 inch = 72 inches

So, we need to find the length of its shadow.

So, according to question, we get that

\dfrac{64\times 12}{16\times 12}=\dfrac{72}{x}\\\\4=\dfrac{72}{x}\\\\4x=72\\\\x=\dfrac{72}{4}\\\\x=18\ feet

Hence, length of his shadow is 18 feet.

3 0
3 years ago
Happy valentines day.<br> To a good year, 50 points!
Kaylis [27]

Answer:

thanks and good luck

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
In the following diagram, BC is parallel to DE.
PilotLPTM [1.2K]

Answer:

Your answer would be 37°

Step-by-step explanation:

Since BC and DE are parallel, certain angles will be the same, such as the missing interior angle of the triangle and ∠DAF, which will also have the same measure as x.

We know that the sum of all of the interior angles of a triangle must equal 180°. So, we add 41 and 102 to get 143. This means that the missing interior angle must be 37°, since 37+143=180.

As mentioned above, because BC and DE are parallel, the missing interior angle has the same measure as ∠DAF, which is a vertical angle to x, and therefore also has the same measure. So, the measure of x is 37°.

Hope this helps you!

4 0
3 years ago
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