At a school, 106students play at least one sport. This is 40% of the students at the school. How many students are at the school?
Answers
Let us assume the number of students at the school = x
the total number of students playing at least one sports = 106
Percentage of students playing at least one sports = 40%
Then
40% * x = 106
(40/100) * x = 106
4x/10 = 106
4x = 106 * 10
4x = 1060
x = 1060/4
= 265
So there are 265 students at the school.
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One size of cardboard can be purchased in sheets that are 3/16 inch thick. The sheets of cardboard are stacked on top of each other in packages. The height of each stack is 2 1/4 inches. How many number of sheets are in a stack
Find all the zeroes of the polynomial p(x) = x4 – 7x³ + 9x² + 13x – 4, if two of its zeroes are (2 +√ 3) and ( 2 - √ 3).
Hi Thx I'm new here
A. Use the composition to prove whether or not the functions are inverses of each other.B. Express the domain of the compositions using interval notation.
Answers
We know that the perimeter of a rectangle is twice the length, plus twice the width.
P = 2L + 2W
We also know that the perimeter is 156.
P = 156
Finally, we know that the width is 12 less than the length.
W = L - 12.
The next thing that we do is substitute the information that we have into the original equation:
P = 2L + 2W
156 = 2L + 2(L - 12)
From this point we start to solve
156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis
156 + 24 = 2L + 2L - 24 + 24
180 = 2L + 2L <--- getting like terms on same sides
180 = 4L <---combining like terms
180/4 = 4L/4 <--- getting like terms on same sides
45 = L <---now we have a value for L
Now we take the known value for L and substitute it in to our equation for W
W = L - 12
W = 45 - 12
W = 33
So now we have Length = 45 and Width = 33.
w = l - 12
156 = 2l + 2w
Since we have a value of w, we can plug that into the variable w to find the exact value of l.
156 = 2l + 2(l - 12)
Distributive property.
156 = 2l + 2l - 24
Combine like terms.
156 = 4l - 24
Add 24 to both sides.
180 = 4l
Divide both sides by 4.
l = 45
Now that we have the exact value of l, we can find the exact value of w.
w = l - 12
w = 45 - 12
w = 33
We now know the width is equal to 33 cm, and the length is equal to 45 cm. (This is your answer.)
We can verify by plugging these values into the second equation.
156 = 2l + 2w
156 = 2(45) + 2(33)
156 = 90 + 66
156 = 156 √ this is correct.
Answers
3 • 22 = 66
68 - 66 = 2
68/3 = 22 2/3
B.
C.
D.
Answers
Answer:
C
Step-by-step explanation:
Rather than picking, let's try to construct one from the description.
reflected over the x axis means -
the vertex is usually at (0,0), now how do we move a graph? or in other words translating it.
To move left and right you use where if you subtract h you move right and if you add h you move left. we go from (0,0) to (-4,2). so 0 to -4 is 4 left, so that means we add 4.
To move up and down we use Here if v is positive you move up and if v is negative you move down. going from (0,0) to (-4,2) it moves up 2
So now we put them all together And if you look, C matches that exactly.
Answers
25% = 25 / 100 = 0.25
What is 25% of 11.48
= 25% * 11.48
= 0.25 * 11.48
= 2.87
Answers
Answer:
9a^2 + b^2
Step-by-step explanation:
(3a + b)^2
9a^2 + b^2
Answers
1.) is correct.
2.) your answer is incorrect: it's the first two choices.
3.) is correct.
4.) is correct.
5.) is correct.
6.) I'm not quite sure.
7.) your answer is incorrect it's the third choice.
8.) I'm not quite sure.