MATHEMATICS MIDDLE SCHOOL

How can I get the area of the shaded region?
How can I get the area of the shaded region? - 1

Answers

Answer 1
Answer:

Let's work on the triangle first.  The x intercept of 2y=27-3x is

0 = 27 - 3x

3x = 27

x = 9

So A(9,0)

B is the meet of 2y=27-3x and y=3x

2y=27-y

3y=27

y=9

y is the height of OAB; we don't really need x

Area(OAB) = \frac 1 2 (9)(9) = (81)/(2) = 40.5

Now we have to subtract

\displaystyle \int_0^9 (3x - x^(\frac 3 2))dx = \frac 3 2 x^2 - \frac 2 5 x^(\frac 5 2) \bigg|_0^9 = \frac 3 2 (9^2) - \frac 2 5 (9^(\frac 5 2)) = (1)/(2)(243) - \frac 2 5 (243) = 24.3

Area = 40.5 - 24.3 = 16.2

Answer: 16.2

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carter drank 15.75 gallons of water in 4 weeks.he drank the same amount of water each day.about how many days altogether will it take him to drink 20 gallons?

Answers

To answer this first lets see how many gallons of water he drinks per week.

15.75 ÷ 4 = 3.9375

Now lets divide to see how much he drinks each day.

3.9375 ÷ 7 = 0.5625

20 ÷ 0.5625 = 35.5555...

So, it will take Carter about 35 and a half days to finish 20 gallons.

Hope I helped ya!! 

What is 35% written as a fraction ?

Answers

percent means out of 100

35/100

divide the top and bottom by 5

7/20

Hey there!

Percentages  goes out of 100

So,

35% = (35)/(100)

(35)/(100)=0.35

(0.35)/(100)*(100)/(100)

We get: (35)/(100) (Simplify this and this should give you your answer)

Answer:\boxed {(7)/(20) }

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Tom has 2 8-foot long boards he needs to cut pieces that are 15 inches long. How many 15 inch pieces can he cut from the two boards?

Answers

Answer:

Tom can cut 12 (15 inch pieces) from the two boards.

Step-by-step explanation:

We're first given foot measurements and we're asked to find the answer in inches. That means we must convert 8 feet to inches, which is a 1:12 inches conversion. 8 times 12 will give you 96, so now you will multiply that value by 2 because Tom has 2 8-foot long boards. That will give you 192 inches. Since the question is asking for 'how many 15 inch pieces he can cut from the two boards?', you will need to divide 192 inches by 15 to find the answer. This will give you 12.8 boards. Because you can't have parts of an object, the answer will be 12 whole boards.

Please help me please

Answers

Answer:

D.

Step-by-step explanation:

it does not have a answer

from  one and only Queen

Answer:

D is your answer

Step-by-step explanation:

After going through each one. D is the only one with no solution. All the other ones have All real numbers.

Trevor surveyed attendees at a comic book convention about the distance they lived from the convention center and the type of ticket they purchased for the event. The data he gathered is shown in the two-way table below.Tickets Bought for Comic Convention


Live within 20
Miles of
Convention Center
Live Farther than 20 Miles from Convention Center
One-Day Ticket
74
33
Multi-Day Ticket
18
12

How many people did Trevor survey?
A.74
B.92
C.107
D.137

Answers

The answer is D. Hope this helped✌

Answer:

d

Step-by-step explanation:

How do simplifly? Plz help I don't know how

Answers

You see what can go into what ever number! Then you divide it and see if it comes out evenly! Hope I helped
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