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sertanlavr [38]
2 years ago
12

Which expressions are equivalent to 3x+3(x+y)

Mathematics
1 answer:
dedylja [7]2 years ago
3 0

Answer:

Which expressions are equivalent to

3x+3(x+y)

= 3x² + 3xy + 3x + 3y

Step-by-step explanation:

(3x + 3) (x + y)

= 3x² + 3xy + 3x + 3y

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Nora's paper airplane flew 9 1/6 feet. That was 2 3/4 feet farther than Max's plane flew. Write and solve an equation to show ho
stepan [7]

Answer:

Max's paper airplane flew \frac{77}{12} feet or 6\frac{5}{12} feet.

Step-by-step explanation:

As Nora's paper airplane flew 9 1/6 feet

i.e.

9\frac{1}{6}=\frac{55}{6}

Nora's paper was farther than Max's plane flew by = 2 3/4 feet

i.e.

2\frac{3}{4}=\frac{11}{4}

Thus the equation to show how far Max's paper airplane flew is:

\:\:9\frac{1}{6}-2\frac{3}{4}

=\frac{55}{6}-\frac{11}{4}

\mathrm{Least\:Common\:Multiplier\:of\:}6,\:4:\quad 12

\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}

=\frac{110}{12}-\frac{33}{12}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{110-33}{12}

\mathrm{Subtract\:the\:numbers:}\:110-33=77

=\frac{77}{12}

=6\frac{5}{12}

Therefore, Max's paper airplane flew \frac{77}{12} feet or 6\frac{5}{12} feet.

6 0
3 years ago
Mario is mixing paint for his walls. He mixes 1/6 gallon of blue pain and 5/8 gallon green paint in a large container. Which fra
stellarik [79]
So to add fractions they need to have a common denominator, which in this case is 24. then multiply 1 by 4 and 5 by 3 because whatever you multiply the denominator by you need to do the same to the numerator, which will get you 4/24+15/24 then you add across the numerators and you get 19/24
5 0
2 years ago
PQ is bisected at point R by MN. Which of the following I true about point R.
Stella [2.4K]

Answer:

C. R is the midpoint of PQ.

Step-by-step explanation:

Given that segment PQ is bisected at point R by MN.

It means PQ is divided into two parts at point R by the segment MN.

That is, PR = RQ

Hence, R is the midpoint of PQ.

It is not given that the segment MN is bisected by PQ.

So, R need not be the midpoint of MN.

Please refer to the attached figure for better understanding.

7 0
3 years ago
Read 2 more answers
A grant for students who intend to become teachers is known as the.
Lilit [14]

Answer:

A TEACH GRANT

Step-by-step explanation:

It stands for Teacher Education Assistance for College and Higher Education

7 0
3 years ago
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A candle maker plans to make 30 orange candles. She mixes wax to create a specific shade of orange. The ratio of each color in h
otez555 [7]

Answer:2.5 part

Step-by-step explanation:

Given

Candle maker requires 1 quart of wax to make 6 candles

If candle maker makes 30 candles then 5 quart of wax is needed

The quart is made up of 2 part of red+ 5 parts of yellow + 3 Parts of white

i.e. total of 10 parts is required to make orange shade

Yellow is 5 part out of 10 part so

yellow will be 2.5 part in 5 quart  

8 0
3 years ago
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