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3 years ago

The difference of two numbers is 3. Their sum is 13. Find the numbers. Show your work please

Mathematics

2 answers:

Inessa05 [86]3 years ago

5 0

Answer:

5,8

Step-by-step explanation:

x-y=3

x+y=13

(x-y)(x+y)=3*13

x^2-y^2=39

x=8, y=5

Novay_Z [31]3 years ago

3 0

Answer:

5 & 8

Step-by-step explanation:

x-y = 3 -> x = 3+y

x+y = 13 = 3+y+y -> 3+2*y = 13

2*y = 10 -> y = 5

-> x = 3+y = 8

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If x = 3, what value of y makes the following equation true? 8x - 3y = 12

Andrews [41]

Answer:

y = 4

Step-by-step explanation:

Plug 3 in for 'x' in the equation and solve for 'y'...

8(3) - 3(y) = 12

24 - 3y = 12

-3y = -12

y = 4

5 0

4 years ago

Read 2 more answers

Eileen brought 8 roses for $45.50.Which is the best way to estimate the cost of one rose?

masya89 [10]

Answer:

50 divided by 8 is the best estimation. gives you 6.25

7 0

3 years ago

Identify the ordered pair on the graph of the equation 2x + 5y = 4.

Colt1911 [192]

What you would do is you would substitute each ordered pair into their respective variables. (ie. for (0,1) you would put 0 where the x is and 1 where the y is) You would then solve the equation. If the equation is not even (ie. 2=5 would not be even but 4=4 would be), you move on to the next ordered pair.

If you follow the process right and you get the equations correct, the answer should be B. (7,-2)

6 0

3 years ago

Which of the following equations could represent the points in the table? Select all that apply.

schepotkina [342]

Answer:

Options (A) and (C)

Step-by-step explanation:

From table attached,

Let the equation of a linear equation that represents the input-output values in the table is,

y - y' = m(x - x')

Where (x', y') is a point lying on the graph.

And m = slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$

m = $\frac{y_2-y_1}{x_2-x_1}$

Slope of the line passing through (0, 11) and (1, 5) will be,

m = $\frac{11-5}{0-1}$

m = -6

Therefore, equation of the line passing through (0, 11) and slope = -6 will be,

y - 11 = -6(x - 0)

Equation of a line passing through (1, 5) and slope = -6 will be,

y - 5 = -6(x - 1)

Equation of a line passing through (2, -1) and slope = -6 will be,

y + 1 = -6(x - 2)

Equation of a line passing through (3, -7) and slope = -6 will be,

y + 7 = -6(x - 3)

Therefore, Options (A) and (C) are the correct options.

4 0

3 years ago

A Water flows through a pipe at a rate of 10 milliliters every 8.5 seconds. Express this

Alexandra [31]

Answer:

The answer to the nearest hundredth is 0.07 liters per minute

Step-by-step explanation:

In this question, we are told to express the given metric in liters per minute.

The key to answering this question, is to

have the given measurements in the metric in which we want to have the answer.

Hence, we do this by converting milliliters to liters and seconds to minute.

Let’s start with milliliters;

Mathematically;

1000 milliliters = 1 liters

10 milliliters = x liters

x * 1000 = 10 * 1

x = 10/1000

x = 1/100

x = 0.01 liters

For the seconds;

We need to convert the seconds to minutes;

Mathematically;

60 seconds = 1 minute

8.5 seconds = y minutes

60 * y = 8.5 * 1

y = 8.5/60

y = 0.14167 minutes

Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;

Hence, we have ;

0.01/0.14167 = 0.070588235294

Which to the nearest hundredth is 0.07

6 0

3 years ago