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Katen [24]
3 years ago
8

If tom’s family disposed of 200lbs. Of solid waste, how many pounds would be made up of paper? 40% is paper

Mathematics
2 answers:
Oxana [17]3 years ago
5 0
200 / 10 = 20

20x4 =40%=80

80lbs
Afina-wow [57]3 years ago
3 0

Answer:

80

Step-by-step explanation:

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Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
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3 years ago
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Can a system of linear equations have exactly three ordered pairs for the solution?
In-s [12.5K]

No, a system of linear equations cannot have exactly three ordered pairs for the solution.

7 0
3 years ago
3) x2+ y2 - x + 3y - 42 = 0<br> X+y=4
REY [17]

The solution is (-1,5) and (7,-3)

Step-by-step explanation:

The expression is x^{2} +y^{2} -x+3y-42=0 and x+y=4

Using substitution method we can solve the expression.

Let us substitute x=4-y in x^{2} +y^{2} -x+3y-42=0

(4-y)^{2} +y^{2} -(4-y)+3y-42=0

Expanding and simplifying the expression, we get,

\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}

Let us use the quadratic equation formula to solve this equation,

\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}

Thus, y=5 and y=-3

Substituting y-values in the equation x+y=4, we get the value of x.

For y=5 ⇒ x=4-5=-1

For y=-3 ⇒ x=4+3=7

Thus, the solution set is (-1,5) and (7,-3)

7 0
4 years ago
What set of three numbers could represent the lengths of the side of a right triangle?
klemol [59]

Answer:

C.) 5, 12, 13

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras).

a² + b² = c²

We can test each set of numbers to see which one fits.

A.) 8² +  12² =   16²

    64 + 144 = 256

           208 ≠ 256

B.) 6² +  7² =  8²

   36 + 49 = 64

           85 ≠ 64

C.) 5² +  12² =   13²

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            169 = 169

The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle.

D.) 16² +    32² =    36²

   256 + 1024 = 1296

              1280 ≠ 1296

7 0
3 years ago
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