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densk [106]
2 years ago
12

One number is one third of another number. The sum of both numbers is 16. Find the numbers.

Mathematics
2 answers:
GREYUIT [131]2 years ago
6 0

Answer:

12 and 4

Step-by-step explanation:

we can solve this through a system of equations.

one number is a third of the other

1/3x = y

added together they equal sixteen

x + y = 16

substitute in for y

1/3x + x = 16

x = 12

put this in the original equation and

y = 4

solong [7]2 years ago
3 0

Answer: 4 and 12

Step-by-step explanation:

Let x be the "another number"

Therefore, "one number" is 1/3x

1/3 x + x = 4/3 x

4/3 x = 16

1/3 x = 4

x = 12

Therefore, the numbers are 4 and 12.

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Estimate the quotient by rounding each number to the nearest whole number. 33.7/ 9.5
GrogVix [38]

Answer: 34/10=3.4 The estimated quotient is 3.4

Step-by-step explanation: Basically,  you are dividing 33.7 by 9.5, but first you will need to round to the nearest whole number. A whole number does not contain a decimal. 33.7 rounded to the nearest whole number is 34. 9.5 rounded to the nearest whole number is 10. So, you are dividing 34 by 10.  34 divided by 10 is 3.4.

3 0
3 years ago
The diameter of an insect cell is 1.7 × 10–11 meter. Ariel wants to find the length of the radius of the cell. If she performs t
Juli2301 [7.4K]

Answer:

8.5E-12

Step-by-step explanation:

According to the Question,

Given That, The diameter of an insect cell is 1.7 × 10^-11 meters.

Ariel wants to find the length of the radius of the cell. Radius Is Half of the Diameter.

  • Thus, R = D/2   ⇒  (1.7*10^-11)/2 = 0.85× 10^-11
  • If she performs the calculations on her calculator is 8.5E-12.
6 0
2 years ago
When a spherical balloon is filled with air, it has a radius of 3 inches. Which of these gives the best estimate for the volume
marysya [2.9K]
By definition, the volume of a sphere is given by:
 V = (4/3) * (pi) * (r ^ 3)
 where,
 r: radius of the sphere.
 Substituting we have:
 V = (4/3) * (pi) * ((3) ^ 3) = 113.08 in ^ 3
 answer
 the best estimate for the volume of air in the balloon in cubic inches is
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3 0
3 years ago
Read 2 more answers
What is the simplified form of 2/x^2-x - 1/x?
Pachacha [2.7K]

Answer:  \bold{(C)\ \dfrac{3 - x}{x(x-1)}}

<u>Step-by-step explanation:</u>

   \dfrac{2}{x^2-x}-\dfrac{1}{x}

=\dfrac{2}{x(x-1)}+\dfrac{-1}{x}

=\dfrac{2}{x(x-1)}+\dfrac{-1}{x}\bigg(\dfrac{x-1}{x-1}\bigg)

=\dfrac{2}{x(x-1)}+\dfrac{-x+1}{x(x-1)}

=\dfrac{2-x+1}{x(x-1)}

=\dfrac{3-x}{x(x-1)}

8 0
3 years ago
There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of these
Mashutka [201]

Answer:

40% students play the saxophone.

Step-by-step explanation:

Given:

Total Number of students who play woodwind instrument = 45

Number of students who play saxophone = 18

We need to find the percent of students who play saxophone.

Solution:

Now we can say that;

To find the percent of students who play saxophone we will divide Number of students who play saxophone by Total Number of students who play woodwind instrument and the multiply by 100.

framing in equation form we get;

percent of students who play saxophone = \frac{18}{45}\times100= 40\%

Hence 40% students play the saxophone.

3 0
3 years ago
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