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pychu [463]
3 years ago
9

The sum of two numbers is 15. Twice one number equals 3 times the other. Find both numbers

Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

Answer:

9 & 6

Step-by-step explanation:

First, check if, by adding them (sum), they equal 15:

9 + 6 = 15

Next, check the greater number, by multiplying it by 2:

9 x 2 = 18

Check the lesser number, by multiplying it by 3:

6 x 3 = 18

Note that they both have 18 as an answer.

9 & 6 are your answers.

~

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Find the radius of a circle that has a circumference of 1671.
son4ous [18]

Answer:

r=8

Step-by-step explanation:

Given formula:

r = C / 2π

It is given that C = 16π

hence

r = 16π / 2π = 8

8 0
3 years ago
Constant rate of change
statuscvo [17]

Answer:

The constant rate of change is the average change that happens between a time period. In slope-intercept form, it is the mx part of the equation.

y = mx + b

7 0
3 years ago
John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper
Setler79 [48]

Answer:

f(x)=\dfrac{9}{5}x+32 converts Celsius to Fahrenheit.

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}

Let the expression for the function be

f(x)=ax+b

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

68=20a+b\\ \\86=30a+b

Subtract these two equations:

86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}

Substitute it into the first equation:

68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32

So,

f(x)=\dfrac{9}{5}x+32

This is the function which converts Celsius to Fahrenheit.

And function

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

4 0
3 years ago
Read 2 more answers
Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s actual height is 4
chubhunter [2.5K]

Problem 1

The error is 2 inches since her estimate is 2 inches off the true value.

We can think of it like this

4 feet = 4*12 = 48 inches

4 feet, 2 inches = 4 ft + 2 in = 48 in + 2 in = 50 inches

So she guesses he is 48 inches, but he's really 50 inches, so 50-48 = 2 inches is her error.

==================================================

Problem 2

Divide the error (2 inches) over the actual height (50 inches) to get

2/50 = 4/100 = 4%

The percentage error is 4%

This means she is 4% off the target.

Note how 4% of 50 = 0.04*50 = 2 which was the error we found back in problem 1.

8 0
3 years ago
111111111111111111111111111111111111111111111111111
Illusion [34]

Answer:

x = 4

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

5x+4−4=24−4

5x=20

Step 2: Divide both sides by 5.

5x

5

=

20

5

x=4

you welcome love

6 0
3 years ago
Read 2 more answers
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