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3 years ago

The sum of two numbers is 4. One number is five less than twice the other. Find the two numbers.

Mathematics

1 answer:

xxMikexx [17]3 years ago

3 0

Answer:

Number 1 = 3, Number 2 = 1

Step-by-step explanation:

Create an each for the two number and make the sum of those two numbers equal to 4.

Number 1 we will make x

Number 2 will then be 2x - 5 (five less than two times the first number)

Equation is the sum of the two number and equal to 4

x + 2x - 5 = 4

3x - 5 = 4

Add 5 to both sides

3x = 9

Divide both sides by 3

x = 3

Test your answer.

Number 1 would be equal to 3

Number 2 would be 2(3) - 5 which is 1

Sum of the two numbers 3 + 1 = 4

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What is the range if this data set, 3,5,6,9,3,2,2,3,3,1

AlexFokin [52]

Answer:

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 9-1=8.

7 0

3 years ago

Which of the 5 are correct?

kicyunya [14]

It’s 8 ÷ 2/5 = 20 because 20 x 2/5 = 8

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3 years ago

Suppose the radius of the sphere is increasing at a constant rate of 0.3 centimeters per second. At the moment when the radius i

elixir [45]

<h2>At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>

Step-by-step explanation:

We have equation for volume of a sphere

$V=\frac{4}{3}\pi r^3$

where r is the radius

Differentiating with respect to time,

$\frac{dV}{dt}=\frac{d}{dt}\left (\frac{4}{3}\pi r^3 \right )\\\\\frac{dV}{dt}=\frac{4}{3}\pi \times 3r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}$

Given that

Radius, r = 24 cm

$\frac{dr}{dt}=0.3cm/s$

Substituting

$\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi \times 24^2\times 0.3\\\\\frac{dV}{dt}=2171.47cm^3/min$

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.

4 0

3 years ago

3x – 9y = -39<br> -3x – 7y = -25 systems of elimination

photoshop1234 [79]

Answer:

y= 4 , x= -1

Step-by-step explanation:

3x-9y= -39

-3x-7y= -25

-16y= -64

y= -64/-16

y= 4

substitute y into any equation

3x -9(4) = -39

3x-36= -39

3x= -39+36

3x= -3

x= -3/3

x= -1

7 0

3 years ago

What is the solution

Umnica [9.8K]

-3x + y = 4

Solve for y

y = 3x + 4

Plug this y value into the other equation.

-9x + 5y = -1

-9x + 5(3x + 4) = -1

Distribute 5(3x + 4)

-9x + 15x + 20 = -1

Subtract 20 from both sides

-9x + 15x + 20 - 20 = -1 - 20

-9x + 15x = -21

Combine like terms

6x = -21

Divide both sides by 6

6/6 x = -21/6

1x = -21/6

x = -7/2

x = -3.5 or -7/2

Plug this value into an equation to solve for y.

-3(-3.5) + y = 4

10.5 + y = 4

Subtract both sides by 10.5

10.5 - 10.5 + y = 4 - 10.5

y = -6.5

Check this answer by plugging the value of x into the other equation.

-9(-3.5) + 5y = -1

31.5 + 5y = -1

Subtract both sides by 31.5

31.5 - 31.5 + 5y = -1 - 31.5

5y = -32.5

Divide both sides by 5

y = -6.5 or -13/2

Therefore the solution is ( -3.5 , -6.5 )

8 0

3 years ago