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Vedmedyk [2.9K]

3 years ago

6

A math problem asks when two brothers will have saved the same amount of money. When Marta writes and solves the equation, her f

inal step is 3 = 7.
Assuming Marta has done everything correctly, how should she interpret this solution?

1 answer:

Bezzdna [24]3 years ago

3 0

That it wiil not equal out to be the same unless one of them start with money

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In the figure below, which term best describes point V?

Sauron [17]

Answer:

A

Step-by-step explanation:

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3 years ago

Four time a number r plus half a number s equals 12. Twice the number r plus one fourth of the numbers s equals 8. What are the

Snezhnost [94]

The system of equations have no solution.

Explanation:

The equations are $4r+\frac{1}{2}s=12$ and $2r+\frac{1}{4} s=8$

To find the two numbers, let us solve the equations using substitution method.

From the equation $2r+\frac{1}{4} s=8$ , let us determine the value of r,

$\begin{aligned} 2 r+\frac{1}{4} s &=8 \\ 2 r &=8-\frac{1}{4} s \\ r &=\frac{1}{2}\left(8-\frac{1}{4} s\right) \\ r &=4-\frac{1}{8} s \end{aligned}$

Let us substitute the value of r in $4r+\frac{1}{2}s=12$ , we get,

$\begin{aligned} 4\left(4-\frac{1}{8} s\right)+\frac{1}{2} s &=12 \\ 16-\frac{1}{2} s+\frac{1}{2} s &=12 \\ 16 &=12 \end{aligned}$

which is not possible.

This means that the system has no solution.

6 0

3 years ago

Write 111 as a decimal.

vagabundo [1.1K]

Answer:

So, 7 is the decimal equivalent of the binary number 111

Step-by-step explanation:

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3 years ago

Which statement is true about the points shown on the number line?

Arlecino [84]

It should be "A"

On the number line, it shows that -4.5 is further and to the right of -2.3.

Hope that helps!

5 0

3 years ago

Read 2 more answers

Does anyone understand how to do this

Lerok [7]

Answer:

Step-by-step explanation:

I understand it! (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers. You don't know what they are so we will call them x and y. Our first statement says that these numbers multiply to equal 120. So that first equation is

xy = 120

Our second statement says that they add to -22. So that second equation is

x + y = -22

Now we need to find the 2 numbers. We have 2 unknowns, x and y. That means that we have to have 2 equations. No more than 2 no less than 2. Solve the first equation for y. It doesn't matter which equation you pick and which variable you choose to solve for. If you do the work correctly, you will get the correct answers either way. Solving the first equation for y gives you:

$y=\frac{120}{x}$

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

$x+\frac{120}{x}=-22$

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether. Do this by multiplying everything by x to get

$x^2+120=-22x$

Get everything on one side of the equals sign and factor:

$x^2+22x+120=0$

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

$x^2+12x+10x+120=0$

Use factoring by grouping now.

$(x^2+12x)+(10x+120)=0$

From the first set of parenthesis you can factor out an x, and from the second set you can factor out a 10:

x(x + 12) + 10(x + 12) = 0

Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0. Solving both for x gives you x = -12 or x = -10.

If x = -12, then

-12 + y = -22 so

y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which. They are not asking you to specifically define x and y. They are asking you to find the numbers, and you did!

6 0

3 years ago