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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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In 3/4 pound of a spice mix there is 5/6 cup of cinnamon how much is it if it is a spice mix contain per pound?
nordsb [41]

There are 10/9 cups of cinnamon in 1 pound of spice mix

and if you wanna convert the improper fraction to a mixed number it will be 11/9

5 0
2 years ago
Twenty-one boys and eight girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given
lorasvet [3.4K]
(a)  there are 8C2  = 28 ways of picking 2 girls from 8
And there are  21C4  =  5985 ways of picking 4 boys

Required number of ways for 2g / 4b  = 28 * 5985 =  167,580 

(b) at least 2 girls means  combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or 
6 girls.

2g/4b  = 167,580 ways
3g/3b =  8C3 * 21C3 =  56 * 1330 = 74,480
4g/2b =  8C4* 21C2  =   70 * 210 = 14,700 
5g 1b = 8C5* 21 =  56*21 = 1176
6 girls  = 8C6 = 28

adding these up we get the answer to (b) which is  257,964

6 0
3 years ago
Brayden, Howard, and Vincent are on the football team. During a game, Brayden gains 1 less than 5 times the average number of ya
Gnoma [55]

Answer:  If two pair is parallel then it has no solution.

Step-by-step explanation:

Since we have given that

Let the number of gained yards by each player be y

For the case of Brayden:

Equation will be

y=5x-1\\\\y-5x=-1

For the case of Howard :

Equation will be

y=5x+1\\\\y-5x=1

For the case of Vincent :

y=4x+5\\\\y-4x=5

Since First two equations are parallel so it has no solution.

Reason:

y-5x=1\\\\y-5x=-1\\\\\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\\\\\frac{1}{1}=\frac{5}{5}\neq \frac{1}{-1}

Hence, if two pair is parallel then it has no solution.


8 0
3 years ago
Read 2 more answers
What is the value of y in the equation 2 + y = −3?
SOVA2 [1]

I believe that y is equal to -5.

y=-5

7 0
2 years ago
If she steals 100 buys 70 worth of stuff owner gives u 30 back how much did owner lose
Nata [24]
Owner would lose out on $100
5 0
3 years ago
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