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k0ka [10]
3 years ago
12

Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like term

s?
y = 2z
2x + 3y = 16

A. 5x = 16
B. 4x = 16
C. 5y = 16
D. 8x = 16
Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

Answer:

D. 8x=16

Step-by-step explanation:

If y=2x, then

2x+3y=16

2x+3(2x) =16

2x +6x=16

8x=16

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Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?
KatRina [158]

Answer:

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill= twice as much as Pete

=2x

Pete's share+ Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2÷3

x=1/2×1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2(1/6)

=2/6

=1/3

3 0
3 years ago
If you are traveling 543 miles and you know that your car gets 18 miles per gallon of gasoline, approximately how many gallons o
Inga [223]

we know that

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so

for 543 miles ---------------------> x gallons of gasoline


by proportion

543/18=x/1---------->x=543/18------->x=30.17 gallons


therefore


the answer is

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6 0
3 years ago
What is the solution to y=5x+1 and y=-5x+15?
Semenov [28]

Answer:

x=7/5, y=8

Step-by-step explanation:

You can use substitution.

7 0
3 years ago
Read 2 more answers
What is the quotient of 1/8 divided by 4
barxatty [35]

Answer:

0.03125

Step-by-step explanation:

1/8 would also equal to (1 divided by 8) which equals 0.125. The next step is to divide 0.125 by 4. you will get 0.03125

3 0
2 years ago
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Peter is trying to set a new record for pizza deliveries. His previous record is 20 pizzas in one hour. He has already delivered
Arlecino [84]
We know that
<span>Peter has already delivered </span><span> 2 pizzas in 5 minutes
so
1 hour-------> 60 minutes
</span><span>time left------> 60 minutes - 5 minutes--------> 55 minutes 

</span>pizzas to deliver to beat his previous record----------> 20-2------> 18 pizzas

therefore
in the next 55 minutes

if the

<span>average per minute = (18/55) pizzas /minute
</span>Pete beat his previous record
<span>
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Pete overcome the previous record

 average per minute  < (18/55) pizzas /minute
Pete will not match the previous record
5 0
3 years ago
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