Answer:
He can buy up to 20 tickets (ie 20 tickets or less)
The equation is 10+3.25x+5 = 80
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Explanation:
10 = admission cost
3.25 = cost per ticket
x = number of tickets
3.25x = cost from buying x number of tickets
5 = cost of nachos & coke
10+3.25x+5 = total cost of admission, tickets, and food/drink
10+3.25x+5 = 80 since this is the amount he has in his pocket
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Let's solve for x
10+3.25x+5 = 80
3.25x+15 = 80
3.25x = 80-15 .... subtract 15 from both sides
3.25x = 65
x = 65/3.25 ........ divide both sides by 3.25
x = 20
Billy can buy up to 20 tickets (ie 20 tickets or less).
Answer:
1(a) = 10
1(b) = 9
1(c) = 12
2(a) = 8
2(b) = 10
2(c) = 1
Step-by-step explanation:
1(a) = 22 - 2.6
= 22 - 12 = 10
1(b) = 6 - 1/4 . 16 + 21 / 3
= 6 - 16/4 + 7
= 6 - 4 + 7
= 9
1(c) = (8-5). (5-3)^2
= 3*2^2
= 3*4
= 12
2(a) = 4(x-2)/(x-1) when x = 0
= 4(0-2)/ (0-1)
= 4*-2/-1
= -8 / -1
= 8
2(b) = (-3x^2 + 4) / 4 when x = -2
= (6^2 + 4) / 4
= (36 + 4) / 4
= 40 / 4 = 10
2(c) = [-2x/4 + 4*(x-1)] / x^2 - 1 when x = 2
= (-1 + 4 * 1) / 4 - 1
= 3 / 3
= 1
Answer:
54°
Step-by-step explanation:
The ratio values can be used to find the angles, then the desired difference can be found. Alternatively, the desired difference can be figured in terms of the ratio units given.
<h3>Ratio of difference to whole</h3>
The number of ratio units representing the largest angle is 5. The number of ratio units representing the smallest angle is 2. The difference of these is 5 -2 = 3.
The total number of ratio units is 3 +2 +5 = 10. This is the number of ratio units representing the straight angle, 180°.
The difference is 3 of those 10 ratio units:
3/10 × 180° = 54° . . . . . . largest - smallest difference
<h3>Find the angles</h3>
There are 10 ratio units in total (3+2+5=10), so each represents 180°/10 = 18°. Multiplying the given ratios by 18° gives the angle values:
3×18° : 2×18° : 5×18° = 54° : 36° : 90°
The difference between the largest and smallest is ...
90° -36° = 54° . . . . . . largest - smallest difference
Answer:
Congress can override a veto by passing the act by a two-thirds vote in both the House and the Senate.
Step-by-step explanation:
