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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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Sean bought a box of graham crackers for $3.99. He also bought 3 bags
leonid [27]
Answer:

$3.08

Explanation:

You subtract 3.99 from 13.23 which equals 9.24. Because there are three bags of marshmallows, divide 9.24 by 3, which equals $3.08.
4 0
3 years ago
Read 2 more answers
Write an equation to represent function A
maw [93]

Answer:

y = 312x + 2

Step-by-step explanation:

According to y = mx + b, m stands for slope and b stands for y-intercept. Let us find the y-intercept. To find the y-intercept, the x should be zero in (x, y).

(x, y)

(0, 2) ---> y-intercept (b)

Now that we have found the y-intercept, we will now find the slope by using its formula.

Slope formula:-

m = y2 - y1 / x2 - x1

Pick two random (x, y). I will pick the first and last pairs.

(0, 2) and (4, 1250)

Now plug these two pairs in the formula.

m = y2 - y1 / x2 - x1

m = 1250 - 2 / 4 - 0

m = 1248 / 4

m = 312

This means that the slope (m) is 312. Now put that in y = mx + b form.

y = mx + b

y = 312x + 2

Both of the forms are the same. Hope this helps, thank you :) !!

6 0
2 years ago
Linda is one of 8 teachers in the Mathematics department. In how many different ways can three of the teachers be chosen so that
Alexxx [7]

Answer:

21 ways

Step-by-step explanation:

a, b, c, d, e, f, g, linda

1    2   linda  

a__ b__ __

a__c __ __

a__d __ __

a__ e__ __

a__ f__ __

a__ g__ __

b__c __ __

b__d __ __

b__ e__ __

b__ f__ __

b__ g__ __

c__d __ __

c__ e__ __

c__ f__ __

c__ g__ __

d__ e__ __

d__ f__ __

d__ g__ __

e__ f__ __

e__ g__ __

f__ g__ __

count them

in total

there are

21 triples

4 0
3 years ago
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent t
Galina-37 [17]

Answer:

x = 1, y = 60

Step-by-step explanation:

Value of new-releases (x) = $20 each

Value of classic (y) = $8 each

Total budget = $500

Equation : 20x + 8y = 500

The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.

Lets assume the librarian buys at least one new-release DVD.

x=1

20x + 8y = 500

8y + 20(1) = 500

y = 60

<em>Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.</em>

!!

8 0
3 years ago
Express… As a limit of a right Reimann sum
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answer

the answer is 36

3 0
2 years ago
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