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Kryger [21]
3 years ago
11

There are 92 students in the third and fourth grade at Johnsonville Elementary. Of these, 47 are fourth grade. Write an equation

to find how many third-graders there are. Use a question mark to represent the unknown number and solve.
Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

Answer:

there are 45 students in third grade

Step-by-step explanation:

There are 92 students in the third and fourth grade at Johnsonville Elementary

Sum of third grade and fourth grade students are 92

out of 92 students, 47 students are from fourth grade.

LEt ? be the number of third grade students

Sum of ? and 47 is 92

?+47=92

Subtract 47 from both sides

?= 45

So there are 45 students in third grade

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Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32. Ms Ramirez bought 4 rolls of toilet paper and 1
zlopas [31]

Answer:

The cost of a roll of toilet paper is <u>$2</u> and the cost of a bottle of hand sanitizer is <u>$4</u>.

Step-by-step explanation:

Given:

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32.

Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12.

Now, to find the cost for each item sold.

Let the cost of a roll of toilet paper be x.

And the cost of a bottle of hand sanitizer be y.

So, the cost of 4 rolls of toilet paper and 1 bottle of hand sanitizer:

4x+y=12\\\\y=12-4x\ \ \ \ .....(1)

Now, the cost of 6 rolls of toilet paper and 5 bottles of hand sanitizer:

6x+5y=32

Substituting the value of y from equation (1):

6x+5(12-4x)=32

6x+60-20x=32

60-14x=32

<em>Subtracting both sides by 60 we get:</em>

<em />-14x=-28<em />

<em>Dividing both sides by -14 we get:</em>

x=2.

<u>The cost of a roll of toilet paper = $2.</u>

Now, substituting the value of x in equation (1):

y=12-4x\\\\y=12-4\times 2\\\\y=12-8\\\\y=4.

<u>The cost of a bottle of hand sanitizer = $4.</u>

Therefore, the cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

7 0
3 years ago
Determine whether the function is​ even, odd, or neither. Then determine whether the​ function's graph is symmetric with respect
masha68 [24]

Answer:

I need a image to see what it is

8 0
3 years ago
Rewrite the given parametric equations in Cartesian from x(t) = 2t– 1 y(t) = 5t
docker41 [41]

Hi there!

\large\boxed{(-\frac{5}{3},-\frac{5}{3})}

We can begin by setting the two expressions equal to solve for t:

2t - 1 = 5t

Subtract 2t from both sides:

-1 = 3t

Divide both sides by 3:

t = -1/3

Plug in this value of t into x(t) and y(t):

x(-1/3) = 2(-1/3) - 1 = -2/3 - 1 = -5/3

y(-1/3) = 5(-1/3) = -5/3

Thus:

(-5/3, -5/3) are the corresponding coordinates.

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Points A and B lie on a circle with center O such that
GarryVolchara [31]

Answer:

D. 120

Step-by-step explanation:

1/3*360= 120

Option D

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Two opposite angles of a parallelogram are always
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Answer:

Two opposite angles of a parallelogram are always <u>equal</u><u>.</u>

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