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katen-ka-za [31]
3 years ago
15

When 42 is added to a number the result is 37 less than 7 times the number. what is the number ?

Mathematics
1 answer:
Ghella [55]3 years ago
3 0
The number is <span>14. hope this helped</span>
You might be interested in
£940 is divided between gavin, jim &amp; Krutika so that gavin gets twice as much as jim, and jim gets three times as much as kr
Zielflug [23.3K]

Answer:

$282

Step-by-step explanation:

We can think of it as an equation system. Lets find out the equations.

There are 3 people: Krutika, Gavin and Jim. Lets call k Kutrika's money and g and j Gavin's and Jim's money respectively.

So, as Gavin gains twice as Jim we can say that:

g = 2j

Then, as Jim gets 3 times more than Kutrika:

j = 3k

And, as the whole sum is 940:

k + j + g = 940.

Notice that both Kutrika's and Gavin's money have a relation to Jim's money, so we can try to write them as function of Jim's money.

If we part from j = 3k and divide both sides by 3:

j/3 = k

So, using this last equation and g = 2j, replacing in the equation that sums the money of everyone:

k + j + g = 940

j/3 + j + 2j = 940

Putting together all the terms that have j imply using 3 as common denominator:

j/3 + 3j/3 + 6j/3 = 940

10j/3 = 940

Dividing both sides by 10/3 (or multiplying by 3/10):

j = 940/ (10/3) = 282

So, Jim has $282. Now we can use the relations we defined to find k and g:

k = j/3 =$94

g = 2j = $564

4 0
3 years ago
A survey found that​ women's heights are normally distributed with mean 63.7 . And standard deviation 3.7 . The survey also foun
san4es73 [151]

Complete question :

A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.

1-What percentage of adult men can fit through the door without bending?

2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below

A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.

B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.

C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.

Answer:

A.) 0.135%

B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

C.)

Step-by-step explanation:

Percentage of adult men that can fit the door without bending :

Obtain the Zscore :

Mean height of men, m = 67.5

Standard deviation, s = 3.7

Zscore = (x - m) / s ; where x = 56.4

Zscore = (56.4 - 67.5) / 3.7

Zscore = - 11.1 / 3.7

Zscore = - 3

P(Z < - 3) = 0.0013499 (Z probability calculator)

P(Z < - 3) = 0.0013499 * 100% = 0.13499%

8 0
3 years ago
2x^2 + 3x^3 what degree polynomial is this, and how do you know?
german
The degree is 3 ( because the largest exponent on the variable)
7 0
3 years ago
Usually I get this but I checked my work and Im wrong I need help fast
amm1812
Sorry I don't know the answer
6 0
3 years ago
Need help Asap ! i’ll mark brainly
Mazyrski [523]

Answer/Step-by-step explanation:

Yo, I think it might be the second choice!

3 0
3 years ago
Read 2 more answers
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