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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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two brothers marco and fernando are training for a marathon marco runs at a rate of 6miles per hor. Fernando funs at at a rate o
satela [25.4K]
We know that
speed=distance/time
solve for time
time=distance/speed

in this problem
<span>Marco runs at a rate of 6 miles per hour. 
</span><span>Fernando funs at a rate of 7.2 miles per hour
Difference=7.2-6=1.2 miles/hour
so
speed=1.2 miles/hour
distance=0.3 miles
time=?
</span>time=distance/speed-----> 0.3/1.2-----> 0.25 hour-----> 0.25*60=15 minutes
<span>
the answer is
0.25 hour (15 minutes)

Alternative Method
Let 
x---------> Fernando's distance when Marco is 0.3 miles apart

</span>Fernando funs at a rate of 7.2 miles per hour
<span>for distance =x
time=x/7.2------> equation 1

</span>Marco runs at a rate of 6 miles per hour. 
for distance=x-0.30
time=(x-0.30)/6------> equation 2

equate equation 1 and equation 2
 7.2*(x-0.3)=6x-----> 7.2x-2.16=6x
7.2x-6x=2.16------> x=2.16/1.2-------> x=1.8 miles

time=x/7.2-----1.8/7.2=0.25 hour
6 0
3 years ago
Hi, please help
SOVA2 [1]

Answer:

A. 133 degrees

Step-by-step explanation:

You add the two known interior numbers in the triangle to find the unknown exterior variable. In this case, the two known interior numbers are 83 and 50. 83 + 50 = 133

7 0
3 years ago
Hello there hello hello
OleMash [197]

Answer:

<u>(-4,-7)</u>

Step-by-step explanation:

The process of a reflection across the y axis is simply just switching the x value in (x,y) to a negative. So, (4,-7) and then make 4, a -4. So the resulting image is (-4,-7)

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Shtirlitz [24]
It would be a trapezoid because parallelograms have the top and bottom usually the same number.
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In a certain Algebra 2 class of 28 students, 11 of them play basketball and 13 of them play baseball. There are 11 students who
mina [271]
80 + 28 - 13 = 95 + 11 = 106
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