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Katyanochek1 [597]
2 years ago
7

Helpppppp meeeeeee plz ​

Mathematics
2 answers:
V125BC [204]2 years ago
6 0

60 total fourth graders and 43 are girls. To find the number of boys, subtract.

60 - 43 = 17 boys

If 5 girls were absent, subtract.

43 - 5 = 38 girls present

If 4 boys were absent, subtract.

17 - 4 = 13 boys present

Therefore, there were 13 boys present.

Best of Luck!

photoshop1234 [79]2 years ago
4 0

Answer:

13 boys were present

Step-by-step explanation:

→ In total there is 60 fourth graders at the Small Tree School.

→ 43 of them are girls and this information is given to us which means that there is 17 boys because 60 - 43 = 17

→ We want to know know how many boys were at the school on Friday considering that 5 fourth grade girls and 4 fourth grade boys were absent

→ We know that there is a total of 17 boys and 4 fourth grade boys were absent so 17 - 4 will give us the number of boys that were present  on Friday so 17 - 4 = 13. 13 boys were present considering 5 fourth grade girls and 4 fourth grade boys were absent

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Answer:

x = -3 , y = 4 , z = 0

Step-by-step explanation:

Solve the following system:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for z:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Solve for z.

Subtract x - 3 y from both sides:

{z = 3 y + (-x - 15)

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Perform a substitution.

Substitute z = -15 - x + 3 y into the second and third equations:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

x + y + 2 (-15 - x + 3 y) = 1

Hint: | Expand the left hand side of the equation x + y + 2 (-15 - x + 3 y) = 1.

x + y + 2 (-15 - x + 3 y) = x + y + (-30 - 2 x + 6 y) = -30 - x + 7 y:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Isolate terms with x to the left hand side.

Subtract 15 - 2 y from both sides:

{z = -15 - x + 3 y

3 x = 2 y - 17

-30 - x + 7 y = 1

Hint: | Solve for x.

Divide both sides by 3:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

-30 - x + 7 y = 1

Hint: | Perform a substitution.

Substitute x = (2 y)/3 - 17/3 into the third equation:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Choose an equation and a variable to solve for.

In the third equation, look to solve for y:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Isolate terms with y to the left hand side.

Add 73/3 to both sides:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 = 76/3

Hint: | Solve for y.

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x = (2 y)/3 - 17/3

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Hint: | Perform a back substitution.

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y = 4

Hint: | Perform a back substitution.

Substitute x = -3 into the first equation:

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Hint: | Sort results.

Collect results in alphabetical order:

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