Which number line best represents the<br> expression below?<br> -(-3) + (-1)

elixir [45]

Answer:

160 in ^2

Step-by-step explanation:

First we need to find the area of each shape and add them together

1. Triangles:

The formula for a triangle is (base x height)/2, so we can replace them as (5 * 4)/2 * 2( Because there are two triangles), so therefore the two triangles will add up to 20 inches

2. The Rectangles

<u>The Big Rectangle:</u>

The big rectangle is just <em>l x w </em> or 5 * 20 which is 100

<u>The small rectangle:</u>

To find the width of the small rectangle you have to do 20 - (5 + 5) because we are not including the triangles. 20 - (5 + 5) = 10, so that would be 10 * 4 = 40.

3.Add them together

20 + 100 + 40 = 160 inches ^2

Hope this helps!!!

4 0

3 years ago

A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the pr

worty [1.4K]

Answer: The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

Step-by-step explanation: Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.

Let S be the sample space for the experiment of pulling a marble.

Then, n(S) = 12 + 8 + 5 = 25.

Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.

The, n(E) = 12, n(F) = 8 and n(G) = 5.

Therefore, the probabilities of each of these three events E, F and G will be

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{12}{25}=\dfrac{12}{25}\times100\%=48\%,\\\\\\P(F)=\dfrac{n(F)}{n(S)}=\dfrac{8}{25}=\dfrac{8}{25}\times100\%=32\%,\\\\\\P(G)=\dfrac{n(G)}{n(S)}=\dfrac{5}{25}=\dfrac{5}{25}\times100\%=20\%.$

Now, the probability of pulling three green marbles out with replacement is given by

$P(G)\times P(G)\times P(G)=\dfrac{5}{25}\times\dfrac{5}{25}\times \dfrac{5}{25}=\dfrac{1}{125}=\dfrac{1}{125}\times100\%=0.8\%.$

Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

4 0

3 years ago

3/4x+3-2x= -1/4+1/2x+5<br> What is the value of x

lions [1.4K]

Step-by-step explanation:

3/4x+3-2x=1/4+1/2x+5

x=2/-3

5 0

3 years ago

Given the following exponential function, identify whether the change represents

Nookie1986 [14]

The percentage rate of increase is 36.2% and the exponential function represent the growth.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent $\rm y = a^x$

where 'a' is a constant and a>1

We have exponential function:

$\rm y = 8900(1.362)^x$

If we compare with

$\rm y =a(1+r)^x$

If 1+r > 1

1.362 > 1

So the growth rate r is

1 + r = 1.362

r = 0.362

r = 0.362×100

r = 36.2%

Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

4 0

2 years ago

Please answer! it's more complicated than it looks!

kifflom [539]

Answer:

1. 360

2. Yes because in a regular hexagon all angles are congruent so the exterior angles are as well

3. (i) 60 (ii) 120

4.

(i) 1. 360 2. Yes because in a regular octagon all angles are congruent so the exterior angles are as well 3. (i) 45 (ii) 135

(ii) 1. 360 2. Yes because in a regular 20-gon all angles are congruent so the exterior angles are as well 3. (i) 18 (ii) 162

Step-by-step explanation:

Works for each polygon

1. First take the number of sides and subtract it by 2 then multibly that by 180

6-2=4x180=720

Then divide by the number of angles and subrtact that number by 180 to find the measure of one exterior angle

720/6=120

180-120=60

Then multiply by the number of exterior angles

60x6=360

2. Regular polygons always have equal angles so the exterior angles are as well

3. Put in your numbers from earlier

(i) 60 (ii)120

Hope this helps! :)

P.S. Feel free to mark brainliest :)

6 0

3 years ago

Which number line best represents the expression below? -(-3) + (-1)