Answer:
8 months
Step-by-step explanation:
Subtract $150 from $430 to get $280, the amount if money that Manuel has to earn to reach his goal.
If he is adding $35 to his account each month, then all you have to do is divide the amount you need by the amount you are earning each month to get the number of months until you reach your goal.
$280 divided by $35 is 8, so it would take 8 months for Manuel to reach his goal.
Answer:
<ABC = 49°
Step-by-step explanation:
The sum of two supplementary angle is 180. From the diagram, the two angles are 3x+4 and 8x+11. IF this two angles are supplementary then;
3x+4+8x+11 = 180
11x+15= 180
11x = 180-15
11x = 165
x = 165/11
x = 15
From the attached diagram, <ABC = 3x+4
<ABC = 3(15)+4
<ABC = 45+4
<ABC = 49°
Answer:
Step-by-step explanation:
Part (A).
Row Number of seats
1 9
2 11
3 13
4 15
5 17
6 19
7 21
(B). Jonathan models the equation for the pattern of number of seats as,
S = 7r + 2
Where S = number of seats in every row 'r'
For r = 1,
S = 7(1) + 2 = 9
Models for row 1.
For r = 2,
S = 7(2) + 2 = 16
Not correct.
For r = 3,
S = 7(3) + 2 = 23
Not correct.
Therefore, this equation doesn't work for the rows above the first row.
(C). Correct equation is,
S = 2r +7
For r = 1,
S = 9
For r = 2,
S = 4 + 7 = 11
For r = 3,
S = 6 + 7 = 13
Therefore, this equation works for all the rows.
(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)
(E). 91 = 2r + 7
2r = 91 - 7
2r = 84
r = 42
Therefore, in 42nd row number of seats = 91
If we need to find the total we can add everything that the store sold in those two hours
15+4+20+11 = 50
Therefore the ratio to produce to the total sold is
15:50