9514 1404 393
Answer:
1e. 2t² +8t -6
2h. a² +2ab -3b²
3b. 8r +4
4b. 6x +4y -11
5b. e -3
Step-by-step explanation:
1e. Combine like terms.
(3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6
= 2t² +8t -6
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2h. (2a² +3ab -4b²) -(a² +ab -b²)
Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.
= 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)
= a² +2ab -3b²
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3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.
P = (4r -2) +2(2r +3)
P = 4r -2 +4r +6 . . . . . . eliminate parentheses
P = 8r +4 . . . . . . . . . . . . combine like terms
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4b. (3x +4y) +(5x -8) -(2x +3)
Note that the distributive property changes the sign of all terms in the last parentheses.
= 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses
= x(3+5-2) +y(4) +(-8-3) . . . group like terms
= 6x +4y -11
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5b.
Bill's age - Erin's age = (2e-3) -(e) = e -3
The difference in their ages is (e -3).
The answer is the top one.
54 degrees because the angles are equal
Answer:
senior citizen cost $4
children cost $7
Step-by-step explanation:
The question is not complete
<em>Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child ... The school took in $67.00 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?</em>
Given data
let senior citizens be x
and children be y
so
3x+9y= 75--------------1
on the second day
8x+5y= 67------------2
solve 1 and 2 above
3x+9y= 75 X8
8x+5y= 67 X3
24x+72y=600
-24x+15y=201
0x+57y= 399
divide both sides by 57
y= 399/57
y= $7
put y= 7 in eqn 1 above
3x+9*7= 75
3x+63= 75
3x=75-63
3x=12
x= 12/3
x= $4
Answer:
x = 20
Step-by-step explanation:
The two indicated angles are vertical angles and vertical angles are equal
3x+50 = 6x-10
Subtract 3x from each side
3x-3x+50 = 6x-10-3x
50 = 3x-10
Add 10 to each side
50+10 = 3x-10+10
60 = 3x
Divide each side by 3
60/3 = 3x/3
20 =x
