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lilavasa [31]
3 years ago
5

In 1995, the federal government paid off one-third

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

The expression that represents the amount that was not paid off is \text { Debt amount that was not paid off }=\text { original amount of debt }- \frac{1}{3}\text { of original amount of debt }

<u>Solution:</u>

Given, In 1995, the federal government paid off one-third of its debt. If the original amount of the debt was  $ 4.920,000,000,000

We have to find which expression represents the amount that was not paid off

Now, we know that, amount that is not paid off = total debt – paid amount

\text { Debt amount that is not paid off }=\text { original amount of debt }-\frac{1}{3}\text { of original amount of debt }

\begin{array}{l}{=\text { original amount of debt }\left(1-\frac{1}{3}\right)} \\\\ {=\text { original amount of debt } \times \frac{3-1}{3}} \\\\ {=4,920,000,000,000 \times \frac{2}{3}} \\\\ {=1,640,000,000,000 \times 2=3,280,000,000,000}\end{array}

Hence the expression and value of debt amount that is not paid off is found

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2m - 3 - 5= -m + 10 please help me
valina [46]

\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}

Let's solve ~

\qquad \sf  \dashrightarrow \: 2m - 3 - 5 =  - m + 10

\qquad \sf  \dashrightarrow \: 2m + m = 10 + 3 + 5

\qquad \sf  \dashrightarrow \: 3m = 18

\qquad \sf  \dashrightarrow \: m = 18 \div 3

\qquad \sf  \dashrightarrow \: m = 6

Hence, value of m is 6

3 0
2 years ago
Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance fro
Gwar [14]

Answer:

The correct options are (1), (3) and (5).

Step-by-step explanation:

The two triangles are shown below.

The measure of ∠F corresponds to ∠F'.

The distance between the points D and origin is of 9 units.

And the distance between the points D' and origin is 3 units.

Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.

Check for similarity:

\frac{D'F'}{DF}=\frac{D'E'}{DE}=\frac{F'E'}{FE}=\frac{1}{3}

Thus, the △DEF is similar to △D'E'F'.

Thus, the correct options are (1), (3) and (5).

4 0
2 years ago
The High School Drama Club held its annual play on Thursday, Friday, and Saturday evenings this past week. The
vlabodo [156]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Which graph represents the equation -5x+4y&gt;-1?
galben [10]
<h3>Answer: Choice D</h3>

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

Explanation:

The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.

A solid boundary line means that points on the boundary are part of the solution set.

Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\

This is false because -20 is not larger than -1. It's the other way around.

This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.

The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.

6 0
3 years ago
I don't understand this
babunello [35]
Its DBC, cause two is in that point so you just find the answer choice with those three letters in the right order.
7 0
3 years ago
Read 2 more answers
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