Mathematics Middle School

The figure below shows a shaded rectangular region inside a large rectangle:

A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 6 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray.

What is the probability that a point chosen inside the large rectangle is not in the shaded region?

Answers:
18%
36%
42%
64%

Answers

Answer 1

The answer to your question is 64.

Answer 2

Answer:

Step-by-step explanation:

Related Questions

10 peaple can paint a room in 5 days. if each person paints as quickly as the others then how much of the building could 7 paint in 5 days?

Answers

70% of the room could be painted

7 people is 70% of 10 people.
If 10 people can paint the room in 5 days, then 7 people can paint 70% of the room in 5 days.

find the equation of the normal of the curve at the given points :D thankiewss

Answers

We want to find the equation of the normal line of [tex]y=\dfrac{20-x}{3x}[/tex] at the point [tex]P=(x_0,y_0)[/tex], where [tex]y_0=3[/tex]. First calculate [tex]x_0[/tex]. We have:

[tex]y_0=f(x_0)=\dfrac{20-x_0}{3x_0}\\\\\\3=\dfrac{20-x_0}{3x_0}\quad|\cdot3x_0\\\\\\3\cdot3x_0=20-x_0\\\\9x_0=20-x_0\\\\9x_0+x_0=20\\\\10x_0=20\quad|:2\\\\\boxed{x_0=2}[/tex]

Now, when we know that [tex]P=(x_0,y_0)=(2,3)[/tex] we can write an equation of the normal line as:

[tex]\boxed{y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)}[/tex]

Calculate [tex]f'(x_0)[/tex]:

[tex]f'(x)=\left(\dfrac{20-x}{3x}\right)'=\left(\dfrac{20}{3x}\right)'-\left(\dfrac{x}{3x}\right)'=\dfrac{20}{3}\cdot\left(\dfrac{1}{x}\right)'-\left(\dfrac{1}{3}\right)'=\\\\\\=\dfrac{20}{3}\cdot\left(-\dfrac{1}{x^2}\right)-0=\boxed{-\dfrac{20}{3x^2}}\\\\\\\\f'(x_0)=f'(2)=-\dfrac{20}{3\cdot2^2}=-\dfrac{20}{3\cdot4}=-\dfrac{20}{12}=\boxed{-\frac{5}{3}}[/tex]

and the equation of the normal line:

[tex]y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)\\\\\\y-3=-\dfrac{1}{-\frac{5}{3}}(x-2)\\\\\\y-3=\dfrac{3}{5}(x-2)\\\\\\y-3=\dfrac{3}{5}x-\dfrac{6}{5}\\\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}+3\\\\\\\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}[/tex]

PLEASE HELP ASAP!

Which of the following does not represent a function?

the first one on the left is A and the last one on the right is D

Answers

C is the answer to it

C, because a slope be curved or straight .

sir wash his cars at the carwash she makes $8 25 per hour and $30 in tips per day give an expression that Sarah could use to calculate her daily earnings A$8 25x + $30 B $8 25 + $30 C $8 25 - $30 D $8.25 + $30x

Answers

x = hours worked so her hourly pay would be 8.25x

then you add 30 in tips

so it would be 8.25x+30

Answer is A

35+-20+-5 What is the answer?? Worth 10pts...

Answers

[tex]35 + - 20 + - 5[/tex]

If two signs are different they make a negative, if two signs are the same, they make a positive:

[tex]35 - 20 - 5[/tex]
[tex]10[/tex]

Hope this helps!

A pancake recipe calls for 4 cups of flour and 3 cups milk.does the recipe calling for 2 cups flour and 1.5 cup milk use the same ratio of flour to milk

Answers

yes because if you take 4:3 it equals out to be 2:1.5

of the 460 visitors on saturday 54/100 of them stayed until the park closed about how many visitors stayed the park closed?

Answers

i believe your answer would be about 248 visitors.

Hope this was helpful

460*(54/100)=
460*.54=
248.4 (can't have half a person so...)
248

the diameter of a u.s penny is 3/4 inch.how many pennies would it take to make a row 42 inches long

Answers

42 divided by 3/4 equals 56 pennies

mark me as brainliest please and thank you

i think is 56 pennies.

Plot the x- and y-intercepts to graph the equation. y=1/3x−1.

Answers

To find the x-intercept, substitute in y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept= (3,0)
y-intercept= (0,-1)

Answer:

The graph of given equation is shown below.

x-intercept is 3 and y-intercept is -1.

Step-by-step explanation:

The given function is

[tex]f(x)=\frac{1}{3}x-1[/tex]

We need to draw the graph of given equation.

At x=0,

[tex]f(0)=\frac{1}{3}(0)-1=-1[/tex]

So, y-intercept is -1.

Equate f(x)=0 to find x-intercept.

[tex]\frac{1}{3}x-1=0[/tex]

[tex]\frac{1}{3}x=1[/tex]

Multiply both sides by 3.

[tex]x=3[/tex]

So, x-intercept of the line is 3.

Plot these two points (0,-1) and (3,0) on coordinate plane and connect them by a straight line.

Given: {An}=nn+1

Compute a3

Answers

You really meant to type a_3.

a_3 = nn + 1

Replace every n with 3 and do the math.

a_3 = (3)(3) + 1

a_3 = 9 + 1

a_3 = 10

sanjay can travel 342 miles in 6 hours. at this rate, how far can he travel in 5 hours?

Answers

285 miles in 5 hours

To find the hourly rate, you divide miles/hour.
342/6= 57mph
57*5= 285

Please don't answer if you don't know.

Answers

Since they are vertical angles, they are congruent:

2x + 2 = 3x - 52

Solving:

54 = x

Hope this helps!

2x + 2 = 3x - 52

2x - 3x = -2 - 52

- x = - 54

x = 54

hope this helps

A scuba diver is 3.8 meters below the surface of the water. He is descending at a rate of 0.5 meters per minute.

Part 1:
Write an algebraic expression to describe the depth of the scuba diver after any number of minutes.

Part 2:

Describe what the variable represents in this situation.

Answers

-3.8 - 0.5m <== ur expression

the variable (m) represents number of minutes

Answer:

[tex]-3.8-0.5x[/tex]

Step-by-step explanation:

A scuba diver is 3.8 meters below the surface of the water.

So, Depth of scuba driver is - 3.8 m

He is descending at a rate of 0.5 meters per minute.

So, Rate = -0.5 m . min

So,Distance traveled in x minutes = -0.05 x

So, The depth after x minutes = -3.8-0.5x

So, an algebraic expression to describe the depth of the scuba diver after any number of minutes is -3.8-0.5x

The variable x represents the no. of minutes .

If Bella runs 40% as fast as Thomas and 35% as fast as tam what percent faster than Thomas is tam

Answers

I think you multiply 40 by35

Most of the energy on Earth comes from A. Chemicals B. The sun C. Photosynthesis D. Carbohydrates

Answers

B.The sun. The sun shines down on earth for US humans to have energy.

(B. the sun) we get our energy mostly solar energy from the sun

5x-2y=8 solve for y

Answers

[tex]5x-2y=8\ \ \ \ |-5x\\\\-2y=8-5x\ \ \ |:(-2)\\\\y=-4+2.5x\\\\\boxed{y=2.5x-4}[/tex]

A group consisted of two girls for every boy. 24 more girls joined the group. there are now five girls for every boy. how many boys are in the group?

Answers

I think it's 4 1/2 because 5×4 equals 20

What is lineAF? 11 units 15 units 43 units 51 units

Answers

Answer:

d.51

Step-by-step explanation:

took the quiz

Suppose there are 20 questions on a multiple choice test.if 25%of the answers are choice B how many of the answers are not choice B

Answers

The amount of answers that are not choice B are 15 questions.

First, break down the question. There are 20 questions in all. So, do 20-25%=15. So, 15 questions aren't choice B.

At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 12°F. If at 10:00 P.M. the temperature had decreased by 15°F, how much does the temperature need to rise or fall to return to the original temperature of 33°F?
A) Fall 7°F

B) Rise 7°F

C) Fall 3°F

D) Rise 3°F

Answers

So at 6:00 a.m. the temperature is 33 F
12:00 p.m. the temperature increased by 10 F so it is 43 F
3:00 p.m. the temperature increased by another 12 F making it 55 F
At 10:00 p.m. it would decrease by 15 F making it 40 F.

The temperature would need to fall/decrease 7 F to reach the original temperature of 33 F so it would be A.

Hope this helps!
Can u plz mark me as brainliest? I really need it!

Kendrick adds 3/4cup of chicken stock to a pot. Then he takes 3/4 cup of stock out of the pot. What is the overall increase or decrease in the amount of chicken stock in the pot?

Answers

the over all increase is 3/4 the decrease is 3/4 so the answer would be 0 stock in a pot

There is no net change in the amount of chicken stock in the pot.

To determine the overall change in the amount of chicken stock, we need to compare the amount added to the amount removed. Kendrick adds 3/4 cup of chicken stock to the pot, and then he takes out 3/4 cup of chicken stock from the pot.

Using a simple calculation:

Initial stock added: 3/4 cupStock removed: 3/4 cupOverall change = 3/4 cup - 3/4 cup = 0 cups

Therefore, the overall increase or decrease in the amount of chicken stock in the pot is zero. There is no net change in the amount of chicken stock in the pot.

find y when x= 115 if y=10 when x=130

Answers

what is the equation

56/x^2-2x-15 - 6/x+3 = 7/x-5

Answers

i have no idea man, it said no solution in my calculation

When your graphing inequality how do you know which side to shade in

Answers

When graphing an inequality, it is often hard to see what side is shaded, to signal which solutions work. Try out (0, 0) into the equation and if it works, it is a solution, so shade the side that has the origin in it.

You figure out by picking a coordinate on either side of the line, and see if it satisfies the inequality. If it doesn't, the other side of the line will be shaded. If it does, shade that side.

How do I solve 26/5+8.8?

Answers

You would do 26/5 first because of the order of operations. 26/5= 5.2
5.2+8.8= 14

You would do 26/5 then add 8.8 it would equal 14

An architect is designing a new windmill with four sails. In his sketch the sails center of rotation is the origin (0,0) and the top of one sails point T, has a coordinates (6,-2). He wants to make another sketch that shows the windmill after sails have rotated 180* degrees about their center of rotation. What would be the coordinates of T?

Answers

The coordinates of T are (-6,2).

The sails center of rotation is the origin (0,0)

The top of one sails point T(6,2).

What is the rotation?

The action or process of rotating on or as if on an axis or center.

A 180 degree rotation make you turn (x, y) into (-x, -y),

so the point turn (6, -2), into (-6, 2).

Therefore the coordinates of T are (-6,2).

To learn more about the coordinate after rotation visit:

https://brainly.com/question/14266597

explain the. different ways that u can use multiplication to estimate. and solve. division problems

Answers

Do the division problem.Multiply the quotient times the divisor.If there is a remainder, add it to the multiplication product.Compare this answer to the dividend. They should be the same number (630 = 630).

Answer:

Instead of divide the dividend by the divisor to get a quotient, you can estimate an approximate quotient and then multiply it by the dividend. If the result is greater than the divisor, then your estimated quotient was greater than the actual quotient, in the case that the result is lower than the divisor, then your estimated quotient was lower than the actual quotient. After that you proceed to estimate again the quotient. For example:

First approximation:

192/12 ≈ 14

12*14 = 168 < 192

Second approximation:

192/12 ≈ 20

12*20 = 240

So, the answer is between 14 and 20

Third approximation:

192/12 ≈ 16

12*16 = 192

Then, 16 is the correct answer

need help with this if someone could help me please and thank you

Answers

I would say the square with 3 out of 4 boxes shaded, because the point is 0.75

The answer is C the one with 3 out of 4
Hope this helps!!

Can someone help me solve X please?

Answers

Both equations are the same angle so you have to create your own equation to solve for x.

4x + 66 = 7x + 15
Subtract 4x to both sides.
66 = 3x + 15
Subtract 15 from both sides.
51 = 3x
Divide.
17 = x
I hope this helps love! :)

PLEASE HELP 2O POINTS
SHOW ME THE CORRECT ANSWER DRAW!!

PLOT THE X- AND Y- INTERCEPTS TO GRAPH THE EQUATION
Y = 1/3 x - 1

Answers

The x-intercept is at (3, 0) and the y-intercept is at (0, -1). :0

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