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solmaris [256]
3 years ago
7

What is 9% of 42 pls help fast!

Mathematics
2 answers:
ladessa [460]3 years ago
5 0

Answer:

3.78

Step-by-step explanation:

joja [24]3 years ago
4 0

Answer:

3.78

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 9 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=9$.

Step 4: In the same vein, $x\%=42$.

Step 5: This gives us a pair of simple equations:

$100\%=9(1)$.

$x\%=42(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{9}{42}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{42}{9}$

$\Rightarrow x=466.67\%$

Therefore, $42$ is $466.67\%$ of $9$.

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See question in attached photo.<br>Answer question 4b and 5c​
sdas [7]

9514 1404 393

Answer:

  4b: 8.6 m/s²; 1.3×10^5 N; 2.1×10^4 N decrease

  5c: -1.6×10^12 J; -1.6×10^12 J

Step-by-step explanation:

<h3>4b</h3>

i) The acceleration due to gravity is inversely proportional to the square of the distance between the objects. The distance to the shuttle is ...

  1 + (5×10^5)/(6.4×10^5) = 69/64 . . . times the radius of the earth

Then the acceleration due to gravity at the height of the space shuttle is about ...

  (10 m/s²)(64/69)² ≈ 8.6 m/s²

__

ii) The weight of the space shuttle at that height is about ...

  F = ma = (15000 kg)(8.6 m/s²) ≈ 1.3×10^5 N

__

iii) The loss of weight will be ...

  ΔF = m(a1 -a0) = (15000 kg)(10 m/s² -8.6 m/s²)

  = 1.5×10^4×1.4 N = 2.1×10^4 N

____

<h3>5c</h3>

i) The gravitational potential energy is given by ...

  U = -GMm/r

where M and m are the mass of the earth and the rocket, respectively.

  U = -(6.67×10^-11)(6.0×10^24)(2.5×10^4)/(6.4×10^6) ≈ -1.6×10^12 J

__

ii) At a height of 3×10^4 m, the denominator in the above expression changes from 6.4×10^6 to 6.43×10^6. This changes the gravitational potential energy by a factor of 6.4/6.43 to -1.6×10^12 J

(Note: we're carrying only 2 significant figures in the result in accordance with the rules for precision in such calculations. The change is noticeable at the level of the 4th significant figure, less than 1/2%.)

4 0
3 years ago
N is between A and X. AN = 2x + 1, NX = 3x, and AX = 21. what is AN?
Allisa [31]

Answer:

AN = 9

Step-by-step explanation:

so we can imagine this in a line like:

A---------------N---------------X

Step 1 : solve for x

AX=21 (our total)

because we know that AN+NX together makes AX, we put that into an equation

<u>AN + NX = AX </u>

(2x+1) + (3x) = 21

2x + 1 + 3x = 21  <-- <em>subtract 1 from both sides</em>

2x + 3x = 20  <-- <em>add 2x +3x </em>

5x = 20   <-- <em>divide 5 from both sides</em>

<u>x = 4</u>

Step 2 : input x into AN

AN = 2x + 1  <-- <em>input 4 for x</em>

AN = 2(4) + 1  <-- <em>simplify from there</em>

<u><em>AN = 9</em></u>

<u><em /></u>

3 0
3 years ago
What is 708 divided by 67 with a remainder?
Kamila [148]

Answer:

10 Remainder 38  i think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
One person can do a certain job in six days, a second person can do the same job in two days, and a third person can do this job
jok3333 [9.3K]
First find their rates...

1/6, 1/2, and 1/3  now combined they will perform the job in one day if:

t/6+t/2+t/3=1  make all have a common denominator

t/6+3t/6+2t/6=6/6 which is equal to:

6t=6 so

t=1

So if they all work together they will complete the job in one day.


8 0
3 years ago
Which factors of −14 are used to factor x2+5x−14?
mario62 [17]

Answer:

+ 7 and - 2

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

x² + 5x - 14 = (x + 7)(x - 2) ← in factored form

7 0
3 years ago
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