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kap26 [50]
3 years ago
6

Find two consecutive odd integers whose product is 99

Mathematics
1 answer:
Illusion [34]3 years ago
8 0
Let x be the first odd number.

Second odd number will be x+2

Proof:

If 3 (was) the first odd number, 3+2 would be the next which is 5.

So,

(x) (x+2) = 99
xsquare + 2x = 99
xsquare +2x - 99 = 0
xsquare +11x - 9x -99 = 0
x(x +11) -9(x + 11) = 0
(x+11) (x-9) = 0

So the two odd numbers were 9 and 11
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A credit card company charges 22% interest fee on any charges not paid at the end of the month.. If the bill totals $450 for thi
34kurt

Answer:

B

Step-by-step explanation:

Because

4 0
3 years ago
A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
The formula v = ir shows the relationship between voltage, current, and resistance. solve this formula for r.
Artemon [7]
It would be A do you need me to explain?

3 0
3 years ago
10. Solve the inequalities and compare.<br> a. Solve 2x+6 &lt; 10.
natali 33 [55]

Answer:

not possible, bother terms have to contain a letter variable

4 0
3 years ago
CAN SOMEONE PLEASE HELL ME WITH THIS PROBLEM? THANK YOU!!!
Verizon [17]

Answer:

71

Step-by-step explanation:

The reference angle is always the smallest angle  with the x-axis.

The nearest x axis is at 0 or another name for 0 is 360

360 -289 = 71

The reference angle is 71

8 0
3 years ago
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