• Model 3 + (-4) on the number line.
6
8
5
1
2
4
1
0
3
9
3
10
4
6
7
2
5
8
10 9
7

Fun, geometry disguised as probability.

That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r.  So area of the pentagon is

P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6

The area of the circle is πr² so the circle area is

C = π (4²) = 50.265482

The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.

p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971

Answer: 0.25

Higher than I would have guessed from the figure.

Answer: If the train moves a constant speed of 8 miles for every 6 minutes then if the time where to be 3 minutes you would have to divided 2 and 8 because the time was split in half you would also have to split the 8 as well. Now if the time was 15 minutes you would have to add more since 6 got 9 more you will have to add 9 more to 8.

6 minutes = 8 miles

3 minutes = 4 miles

15 minutes = 17 miles

Hope this helps you :3.

The train will move 4 miles, 20 miles and 80 miles in 3 minutes, 15 minutes and 60 minutes respectively.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given, a train moves at a constant speed of 8 miles every 6 minutes.

That means in one minute,

= total number of miles / total time taken

= 8 /6

= 4/3 miles

Now, for 3 minutes means 3 times 4/3

= 3 x 4/3

= 4 miles

For 15 minutes,

= 15 x 4/3

= 20 miles

For 60 minute

= 60 x 4/3

= 80 miles.

Therefore, the train will move 4 miles, 20 miles and 80 miles in 3 minutes, 15 minutes and 60 minutes respectively.

To learn more about the multiplication;

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Answer:

(10,11)

(8,7)

(6,3)

(4,-1)

(2,-5)

(0,-9)

(-2,-13)

(-4,-17)

Answer: the image of how its supposed to be graphed is listed down below! hope this helped!

Step-by-step explanation:

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

120+36=156

Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

The sum of the angles (x+36+120) must be equal to 180 (=180)

x+36+120=180

Combine like terms

x+156=180

Subtract 156 to isolate x

x=180-156

x=24

Answer:

Yes this equation is in standard form.

Answer:

yes this equation is in standard form

Answer:

Triangle HBN ~ triangle LYR

=> HN/LR = HB/LY

=> (3x - 7)/(x + 11) = 28/21

=> 21(3x - 7) = 28(x + 11)

=> 63x -147 = 28x + 308

=> 35x = 455

=> x = 455/35 = 13

There is no answer to select. But I still believe there is no mistake in my calculation.

Hope this helps!

:)

Answer:

(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

Answer:

1/5 (20%)

Step-by-step explanation:

1. Find sample size by adding all numbers together

   5 + 2 + 3 = 10

2. Since the jelly bean we are finding the probability of is red, 2 will be the nominator of the fractions

3. Make fraction

   2/10

4. Simplify

   1/5

Hope this helped! Comment if you have any questions. :)

Answer:

$12.10

Step-by-step explanation:

(.20) 14 = 11.20

.08(11.20)= ABOUT .90

ADD .90 to 11.20

to get the final cost with tax. ;)

There are an unknown number of possible outcomes. To figure this out all we need to do is multiply the amount of options per category to get the number of possible combinations.

In this case, there are 3 choices of food items and 3 choices of drinks.

Therefore, we need to multiply 3 by 3 to get the combinations.

3 times 3 equals 9

In conclusion, there are 9 possible combinations to be made from the choices presented.

Answer:

there are 12 possible outcomes

Step-by-step explanation:

Answer:

Choose the fourth option

Step-by-step explanation:

This is a simple distribution.

[tex]-3(2m-1)-n\\-6m+3-n\\-6m-n+3[/tex]

It's the last option.

Answer:

D. -6m-n+3

Step-by-step explanation:HOPES THIS HELPS!

Answer:

Edge answers in order:

a= -9

b= 7

c= 12

d= -5

e= 4

f= 7

g= 3

h= -2

i= -4

Step-by-step explanation:

just did the activity on edge.

Answer:

a =       -9

b =       7

c =       12

d =       -5

e =       4

f =       7

g =       3

h =       -2

i =       -4

Step-by-step explanation:

I had the same question on my homework.

Answers:

a) -13

b) -12.9

Answer:

scalene

Step-by-step explanation:

Its a scalene triangle

the answer is, no.. she is not correct.

she solved the equation/question incorrectly.

why? Shauna subtracted 9 - 12/3 = 5

she multiplied 5 and 2 = 10

then subtracted by 6.

so she got 4.

but, this how you do it.

subtract 9 and 6, equaling 3.

12/3 x 2= 8

add 8 and 3, which equals 11.

the correct answer is 11!

Answer:

x=12

Step-by-step explanation:

12(x+8)= 8(30)

Distribute

12x+ 96= 240

Subtract 96 on both sides

12x= 144

Divide 12 on both sides

x=12

Answer:

115Gallons

Step-by-step explanation:

1. Calculate the Volume - Volume of a cylinder is done by this formula, V=π*R^2*H.

3.14x1.5^2x4.5=V

V=31.79ft^3

2. Find the amount of Gallons it can hold total - V=31.79 Now per 1ft^3 its roughly 7.5 gallons. 31.79x7.5=238.44gallons

3. Find the amount occupied by the water currently in the barrel - So we need the middle point so we have something to go off of, now 2.5ft isn't half of 4.5, 2.25 is. So 238.44/2=119.22Gallons. Now 2.5 is 53.4% the difference is 3.4. So we need to take 119.22Gallons*.034=4.05 now add that to the 119.22 and you get 123.27 gallons used

4. How much is left over? - Take 238.44-123.27=115.17 more Gallons that the barrel can hold.

Hope this helped :)

Answer:

The answer is 36 squared centimeters

Answer:

investment 2 $400 Simple Interest Rate

Step-by-step explanation:

Answer:

Area = 48*8=384 sq. in

Step-by-step explanation:

Perimeter = 112

Length 6x

Width =x cm

Perimeter = 2(6x+x)

Perimeter = 14x

112 = 14x x=

8 in Width

Length = 6*8=48 in

Area = 48*8=384 sq. in

Did this kinda fast but I hope it helped XD

Length of the rectangle = 48ft

Width of the rectangle = 8ft

Area of rectangle = 384 ft²

Rectangle is a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two.

Given,

Length of a rectangle is six times its width

Let width is x then length is 6x

Perimeter of rectangle = 112 ft

Perimeter of rectangle = 2(Length + Width)

2(Length + Width) = 112

2(x + 6x) = 112

7x = 56

x = 8

Width = 8 ft

Length = 6 × 8 = 48 ft

Area of rectangle = length × width

                             = 48 × 8

                             = 384 ft²

Hence, 8ft is width and 48ft is length of the rectangle. 384 ft² is the area of rectangle.

Learn more about rectangle here:

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Answer:

84 months

Step-by-step explanation:

I × 100 = P × R × T

I = interest = $245

P = principal = $1750

R = rate = 2%

T = time(in years) = ??

245 × 100 = 1750 × 2 × T

24500 = 3500T

24500/3500 = T

7 = T

To convert the time to month:

7 × 12 = 84 months

Answer:

9

Step-by-step explanation:

That's the most common number there

Answer:

9

Step-by-step explanation:

The mode of a set of data values is the value that appears most often.

in this set, 9 appears 4 times -> 9 is mode

Answer:

ehswFYDHSDDSHJVBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer: 0.4

Step-by-step explanation:

Answer:

(x + 4)^2 + (y-9)^2 = 121

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k) ^2 = r^2  where (h,k) is the center and r is the radius

(x - -4)^2 + (y-9)^2 = 11 ^2

(x + 4)^2 + (y-9)^2 = 11 ^2

(x + 4)^2 + (y-9)^2 = 121

Answer:

The area of the shaded area is 27 [tex]\pi[/tex]

Step-by-step explanation:

The formula for the area of a circle is :[tex]\pi *radius^2[/tex]

To work this out you would first have to work out the area of the circle. You can do this by multiplying [tex]\pi[/tex] by the radius of 6 squared, this gives you 36[tex]\pi[/tex]. However the question is asking for that section of the circle.

To work out the area of the shaded section you will first have to look at the missing angle, as it is 90° . A circle has 360° and so if we divide 360 by 90, this gives us 4. This tells us that [tex]\frac{3}{4}[/tex] of the circle is shaded as [tex]\frac{1}{4}[/tex] is not.

To work out the area of the shaded area you would divide the area of the whole circle which is 36[tex]\pi[/tex] by 4, this gives us 9[tex]\pi[/tex]. This tells us the area of 1 quadrant of the circle.

The next strep is to multiply 9[tex]\pi[/tex] by 3, this gives us 27[tex]\pi[/tex]. This is because now that we know the area of one quadrant we can find the area of the shaded area which covers 3 quadrant of the circle.

1) Multiply  [tex]\pi[/tex]  by 6 squared.

[tex]\pi *6^2=36\pi[/tex]

2) Divide 360 by 90.

[tex]360/90=4[/tex]

3) Divide 36 [tex]\pi[/tex] by 4.

[tex]36\pi/4=9\pi[/tex]

4) Multiply 9 [tex]\pi[/tex]  by 3.

[tex]9\pi*3=27\pi[/tex]

Answer:

27 pi

Step-by-step explanation:

Answer:

9x

Step-by-step explanation:

2(2x-1)+10x+2-3x

2x-2+10x+2-3x

9x+2-2

9x

Answer:

The answer is 9x.

Step-by-step explanation:

I got this answer from the best.......aka the lil boy who already answered it.

< Sarah >

Answer:

1)x=21.33

2)Height of tree is 20 m

Step-by-step explanation:

Question 1

ΔABC ≈ΔADE

Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion

So,[tex]\frac{AB}{AD}=\frac{BC}{DE}\\\frac{AB}{AB+BD}=\frac{BC}{DE}\\\frac{12}{12+6}=\frac{x}{32}\\\frac{12}{18}=\frac{x}{32}\\\frac{12}{18} \times 32 =x\\21.33=x[/tex]

Question 2: Find the height of tree

ΔDEF ≈ΔDHI

Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion

So,[tex]\frac{DE}{DH}=\frac{EF}{HI}\\\frac{3}{30}=\frac{2}{HI}\\HI=\frac{2 \times 30}{3}\\HI=20[/tex]

Hence The height of tree is 30 m