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tester [92]
3 years ago
5

. Find two consecutive odd integers whose product is 99. (Note: There are two different pairs of consecutive odd

Mathematics
1 answer:
Tom [10]3 years ago
4 0

Answer:

9 and 11

Step-by-step explanation:Let the 2 consecutive odd integers be n and n+2.

n(n + 2) = 99

Solve for n.

n2 + 2n - 99 = 0

(n + 11)(n - 9) = 0 ⇒

Two solutions:

n = -11

n + 2 = -9

and

n = 9

n + 2 = 11

Test the answers.

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Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells
dlinn [17]

Answer:

12d+34>100  

Step-by-step explanation:

Let d be the number of days.

We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.  

We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: 12d+34

As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:

12d+34>100

Therefore, the inequality 12d+34>100 can be used to find the number of days, d, it will take Katie to collect over 100 seashells.

8 0
4 years ago
Read 2 more answers
the area of a regular hexagon is 100 units if all the dimensions were cut in half what would the new area be
kicyunya [14]

Answer:

50 units most likely. I could be wrong. I am extrememly sorry if I am wrong.

Step-by-step explanation:

6 0
3 years ago
Plz help, I don't need the show all work.
topjm [15]

Answer:

The answer is 108 cm²

Step-by-step explanation:

First, you have to find the height of the parallrelogram using trogonometric formula, sinθ = oppo./hypo. :

oppo. = height

hypo. = 9 cm

θ = 59°

sin 59° = height/9

height = 9 sin 59°

= 7.715 cm (4s.f)

Given that the formula of area of parallelogram is, A = base×height. Then, you can substitute the value into the formula :

base = 14 cm

height = 7.715 cm

A = 14 × 7.715

= 108 cm² (3s.f)

8 0
4 years ago
Read 2 more answers
What are the coordinates of N?
Nataliya [291]

Answer:

(c,b) are the coordinates of N

Step-by-step explanation:

as N is the mid-point of QR

BY USING MID-POINT FORMULA

N(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2})

PUTTING THE VALUES OF COORDINATES

N(x,y)=(\frac{0+2c}{2},\frac{2b+0}{2})

N(x,y)=(\frac{2c}{2},\frac{2b}{2})

N(x,y)=(c,b) are the coordinates

O HOPE THIS WILL HELP YOU :)

5 0
3 years ago
Which is an example of a statistical question?
tiny-mole [99]

Answer:

Question 4

Step-by-step explanation:

Question 4 is the correct answer because you are asking numerous students and are getting more than one answer. Then you can find the average or whatever.

The other questions only get 1 answer.

Hope this helped :)

5 0
4 years ago
Read 2 more answers
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