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pogonyaev
3 years ago
8

Find 4 consecutive even integers whose sum is 156?

Mathematics
2 answers:
snow_tiger [21]3 years ago
8 0
X+(x+1)+(x+2)+(x+3)=156
4x+6=156
4x=150
x=37.5 (not an integer)
If x=37 you get 37+38+39+40=154 and if x=38 you get 38+39+40+41=158[/tex]
sergejj [24]3 years ago
3 0

Answer: The integers are 36, 38, 40, and 42

Step-by-step explanation:

156/2=78

Find even integers by dividing that by two. 39.

So the two middle integers are 38 and 40.

You can go from there.

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A factory manufactures a metal piece in 32 minutes. New technology allowed the factory to cut that time by 8%. Then another impr
OverLord2011 [107]

Answer:

28 minutes

Step-by-step explanation:

we know that

1) A factory manufactures a metal piece in 32 minutes

2) New technology allowed the factory to cut that time by 8%

Remember that

100\%-8\%=92\%=92/100=0.92

In this part 32 minutes represent the 100%

To find out how long  it take to manufacture the piece, multiply 32 minutes by the factor 0.92

32(0.92)=29.44\ min

3) Then another improvement cut the time by 5%

Remember that

100\%-5\%=95\%=95/100=0.95

In this part 29.44 minutes represent the 100%

To find out how long  it take to manufacture the piece now, multiply 29.44 minutes by the factor 0.95

29.44(0.95)=28\ min

6 0
3 years ago
When you divide a whole number by a decimal less than 1, the quotient is greater than the whole number. Why?
LuckyWell [14K]
1 can be interpreted as a "whole" thing, and smaller than 1 is a part of a thing.

imagine: if you have some cakes and you count the number of cake pieces, those will be more than the number of cakes: as each cake will have more than one piece! (otherwise it wouldn't be called a piece!)

so the result of a division by a fraction is bigger than the original number, there are more parts than wholes in the results, as each whole has multiple parts!

for example: divide 3 cakes into pieces which are 1/4th of a cake. how many such pieces would there be? 12! more than the 3 original cakes;

is this possible to understand? tell me if not!
8 0
3 years ago
Find the experimental probability that exactly 3 of 4
otez555 [7]

Answer:

4 / 20 (1 / 5)

20%

Step-by-step explanation:

The experimental probability is what actually happens in an experiment (as opposed to an authentic probability calculated from genetics).

In this experiment, there are 3 outcomes with :

3 tails and 1 head

(tails represent female, head represent male)

So, 4 / 20 of the time, this coin flip was what we call a "success" (meaning that it matches the guidelines that we want)

4 / 20 = 20% of the time

So, the probability of a group of 4 puppies being 3 females and 1 male is :

4 / 20 (1 / 5)

20%

3 0
2 years ago
What does it equal 5/12 + 1\4
baherus [9]
5/12= 2.4
1/4=4
2.4+4=6.4
5 0
3 years ago
Read 2 more answers
What is the length of the hypotenuse of the triangle? triangle A B C. Side A C is 7 centimeters and side B C is 3 centimeters. H
Maksim231197 [3]

Answer: √58 cm or 7.62 cm

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c². Since we are given the lengths of a and b, we can plug them into this formula to find the length of the hypotenuse.

7²+3²=c²

49+9=c²

58=c²

c=√58 or 7.62 cm

6 0
3 years ago
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