Ask question

Ask question

All categories

3 years ago

9

Twenty-one fish are swimming in an aquarium. Eleven are removed, leaving 10 fish. Which number is the additive inverse of the nu

mber of fish left?

1 answer:

mixas84 [53]3 years ago

8 0

−10

fish left = 10

Therefore, the additive inverse of the number of fish left is −10. The sum of a number and its additive inverse is 0.

10 + (−10) = 0 A is the answer

You might be interested in

What is the radical form of each of the given expressions? Drag the answer into the box to match each expression.

postnew [5]

4 ^ (1/7 ) is the 7th root of 4 or the 3rd box

4 ^ (7/2) is 4 to the 7th power then the square root or the 2nd box

7 ^ (1/4) is the 4th root of 7 or the 4th box

7 ^ (1/2) is the square root of 7 or the 6th box

4 0

3 years ago

Read 2 more answers

Need help here plss

umka2103 [35]

Answer:

Solutions: b, c, d, e

Not Solutions: a

Step-by-step explanation:

There are two ways to solve this problem: you could graph the system and check which points fall in the solution set or you could substitute the $x$ and $y$ values of each point into the inequalities that make up the system. I'm going to use the former because it's quicker, in my opinion.

Step 1: Graph

Rewriting the first inequality gives us:

$2x+5y$

$5y$

$y$

To graph this, draw the line $y=-\frac{2}{5}x +2$ and then, because the sign is " ", shade below the line and make it a dashed line. This is the red inequality on the graph.

Rewriting the second inequality gives us:

$3x-4y\geq -8$

$-4y\geq -3x-8$

$y\leq \frac{3}{4}x+2$

To graph this, draw the line $y\leq \frac{3}{4}x+2$ and then, because the sign is " $\leq$ ", shade below the line and keep it a solid line. This is the blue inequality on the graph.

The solution set of the system will be the region where the two shaded areas overlap, which is the purple area.

Step 2: Check Points

Now, all we need to do is check whether each point lies in the purple region on the graph.

$(3,5)$ lies above the purple region, but it isn't in the region, so it is not a solution to the system.

$(-2,10)$ does lie in the purple region, so it is a solution to the system.

$(5,-12)$ does lie in the purple region, so it is a solution to the system.

$(-6,-8)$ does lie in the purple region, so it is a solution to the system.

Finally, $(0,0)$ lies in the purple region, so it is a solution to the system.

Hope this helps!

5 0

3 years ago

What is the ratio of the perimeter of ΔHKO to the perimeter of ΔFGO

Lera25 [3.4K]

Answer:

Part 1) The ratio of the perimeter of ΔHKO to the perimeter of ΔFGO is $\frac{1}{2}$

Part 2) The ratio of the area of ΔKHO to the area of ΔGFO is $\frac{1}{4}$

Step-by-step explanation:

Part 1)

we know that

If two figures are similar , then the ratio of its perimeters is equal to the scale factor

In this problem

Triangles HKO and FGO are similar by AAA Theorem

Find the scale factor

The scale factor is equal to the ratio of its corresponding sides

$\frac{4}{8}=\frac{7}{14}=\frac{1}{2}$

Part 2) Find the ratio of the area of ΔKHO to the area of ΔGFO

Area of ΔKHO

$A=4*7/2=14\ units^{2}$

Area of ΔGFO

$A=8*14/2=56\ units^{2}$

The ratio of its areas is equal to

$\frac{14}{56}=\frac{1}{4}$

Alternative Method

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem we have that

The scale factor is $\frac{1}{2}$

so

squared the scale factor

$(\frac{1}{2})^{2}=\frac{1}{4}$ ----> is correct

7 0

3 years ago

Which of these sentences is always true for a parallelogram?

Murljashka [212]

The answer is d. opposite angles are congruent.

4 0

3 years ago

Read 2 more answers

True or false<br><br> Based on the information in the diagram abc ≅ def

3241004551 [841]

Answer:

True

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers