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zzz [600]
3 years ago
7

The opposite of -61/2

Mathematics
1 answer:
g100num [7]3 years ago
6 0
The opposite is 61/2 because when finding opposite integers you just change whether they are positive or negative. 
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University Theater sold 556 tickets for a play. Tickets cost $22 per adultand $12 per senior citizen. If total receipts were $84
lawyer [7]
To find the answer, set up a system of equations.

Let x=adult tickets and y=senior citizen tickets.

x+y=556
22x+12y=8492

Change the first equation to make it easy to combine with the second equation.

y=556-x

Now substitute (556-x) for y in the second equation.

22x+12(556-x)=8492

Simplify and combine like terms.

22x+6672-12x=8492
10x=1820
x=182

182 adult tickets were sold, so to solve for the number of senior citizen tickets sold, subtract 182 from 556.

556-182=374

374 senior citizen tickets were sold.
4 0
3 years ago
The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?
Aleksandr [31]

Answer:

The new pyramid has a volume that is half the volume of the original pyramid.

Step-by-step explanation:

The volume of a pyramid is given by the following equation:

V = \frac{h*l*w}{3}

In which h is the height, l is the length and w is the width.

Modified volume:

height doubled, length and width cut in half. So

h = 2h, l = 0.5l, w = 0.5w

V_{M} = \frac{2h*0.5l*0.5l}{3} = \frac{0.5*h*l*w}{3} = 0.5\frac{h*l*w}{3} = 0.5V[/tex]

That is

The new pyramid has a volume that is half the volume of the original pyramid.

6 0
3 years ago
Please show work 3d – 4 + d = 8d – (-12)
balandron [24]

Answer:

d = -4

Step-by-step explanation:

3d – 4 + d = 8d – (-12)

3d - 4 + d = 8d + 12

4d - 4 = 8d + 12

(4d - 4d) - 4 = (8d - 4d) + 12

-4 = 4d + 12

-4 - 12 = 4d (+ 12 - 12)

-16 = 4d

-16/4 = 4d/4

d = -4

4 0
3 years ago
Read 2 more answers
Determine whether the function below is an even function, an odd function, both, or neither.
Kipish [7]

Answer:

Even Function

Solution:

For an even function:

f(x) = f(-x)

For an odd function:

f(x) = -f(x)

Since f(-x) = f(x), the given function is an even function.

6 0
3 years ago
Read 2 more answers
40% is NOT equivalent to....? <br> A. 0.4 <br> B.2/5 <br> C.40/100 <br> D. 0.04 <br> E. None correct
fredd [130]

Answer:

d

Step-by-step explanation:

d is .04 percent plz mark branliest

6 0
3 years ago
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