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VladimirAG [237]
3 years ago
9

A problem states: "There are 5 more girls than boys at the party. There are 27 children at the party in all. How many boys are t

here at the party?"
Let b represent the number of boys

Which expression represents the number of girls?

A: b - 5
B: b + 5
C: 5 - b
D: b · 5
Mathematics
1 answer:
Serhud [2]3 years ago
3 0

Answer:

b + 5

Step-by-step explanation:

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Trevor solved the system of equations below. What mistake did he make in his work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 − 2
Arturiano [62]
2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
\boxed{5x=0} \Leftarrow \hbox{the mistake, it should be 5x=20} \\
x=0 \\ \\
2(0)+y=5 \\
y=5

If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.

The answer is C.

Here's the correct solution:
2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
5x=10+10 \\
5x=20 \\
x=\frac{20}{5} \\
x=4 \\ \\
y=5-2x \\
y=5 - 2 \times 4 \\
y=5-8 \\
y=-3 \\ \\
(x,y)=(4,-3)
5 0
3 years ago
A number is 3 1/3 greater than another. If the sum of the numbers are doubled the answer would be 19 1/2
Delicious77 [7]

Answer:

smaller number = 3 5/24

larger number =  6 13/24

Step-by-step explanation:

let the larger number = x

smaller number = y

x - y = 3 1/3 equation 1

2(x +y) = 191/2 equation 2

divide equation 2 through by 2

x + y = 9 3/4  equation 3

subtract equation 1 from 3

2y = 6 5/12

y = 77/12 x 1/2 = 3 5/24

substitute for y in equation 1

x - 3 5/24 = 31/3

x = 3 1/3 + 3 5/24

x = 6 13/24

5 0
2 years ago
Read 2 more answers
13 is the same as 1÷3. <br> What is the exact quotient in decimal form of 1÷3?
Yuliya22 [10]

Answer:

Exact quotient is 0

Step-by-step explanation:

Given : \frac{1}{3} is the same as 1÷3.  

To find : What is the exact quotient in decimal form of 1÷3

Solution : Here the divisor is 3

dividend is 1

To find quotient we divide divisor by dividend

1÷3 or  \frac{1}{3} = 0.333...

So, the quotient is 0.333... and remainder goes on to 1 till the division goes on.

Exact quotient in decimal form is 0

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3 years ago
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A 9 kilogram bag of animal feed costs $45.45 . ​ What is the unit price per kilogram?
blsea [12.9K]

Answer:

5.05

Step-by-step explanation:

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Answer:

x=2/5

Step-by-step explanation:

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