Round to the nearest hundredth. 7.546
A. 7.546
B. 7.55
C. 7
D. 7.5

Answers

Answer 1
Answer: 7.55 would be correct because if there is a 5 or greater it goes up a number if it is a 4 or lower it stays the same
Answer 2
Answer: B. 7.55

7.546⇒the underlined is the hundredths place 
When rounding it to nearest hundredth, you will look at the digit next to it at the right.
7.546⇒six is greater than 5 so the hundredths place would round up to the next digit which is 5. 
7.546-7.55

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Steve read a total of 9 books over 3 months. If Steve has read 15 books so far, how manymonths has he been with his book club? Assume the relationship is directly proportional.

Answers

Answer:

5 months

Step-by-step explanation:

9/3=3

15/3=5

Ms. White has 15 students in her first grade class. Troy is the line leader for the week, and Mackenzie is last because she was the line leader last week. In how many different ways can Ms. Whites class line up for lunch?A.) 13!
B.) 15!
C.) 15!÷2!

Answers

The first place and 15th place are already decided, so we have to find the number of different ways that the other 13 students can line up, in the places from 2 to 14.

2nd place can be any one of 13 people.  For each of those . . .

3rd place can be any one of 12 people.  For each of those . . .

4th place can be any one of 11 people.  For each of those

13th place can be any one of 2 people.  For each of those 

14th place has to be the one student who is left.

Total number of ways that 13 students can line up in places 2 through 14 is

(13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

That number is called "thirteen factorial".  The number is 6,227,020,800 . 

When you write it in math, you write it like this:13

Answer:

13!

Step-by-step explanation:

GIVE BRAINLIEST :) Morgan can paint a room in 10 hours, while Sophia can paint it in 4 hours. If Morgan paints for x hours and Sophia paints for y hours, they will finish half of the painting, while if Morgan paints for y hours and Sophia paints for x hours they will paint the whole room. Find the ordered pair (x,y), expressing both x and y as simplified fractions.

Answers

Answer:

x,y =  ( 3 17/21  ,  10/21)

Step-by-step explanation:

Painting the room = 1    whole job

Morgan rate =   1/10

Sophia rate  =  1/4

Rate x time = 1    job

1/10 x   + 1/4 y  = 1/2      and

1/10 y  +  1/4 x  = 1          solve for x,y

Multiply the top equation by - 2.5

(-2.5)/10 x   - (2.5/4) y = -1.25    

-1/4 x  - 5/8 y =  -1 .25

 and add to the second equation to get

1/10 y  - 5/8 y = -.25    solve for y

4/40 y - 25/40 y = -.25

-21/40 y = - .25

y =  10/21  hr                           Substitute this into one of the original equations to find 'x'

 

1/10  (10/21) + 1/4 x = 1

1/21 + 1/4 x = 1

1/4 x = 20/21

x = 80/21                                         x,y =  ( 3 17/21  ,  10/21)

please mark brainliest!

Suppose the population of trout in a certain stretch of a river is 4000. In about how many years will the population of trout be 700 if the decay rate is 35%? Use the equation 700 = (4000)(0.65)x and round the value of x to the nearest year.

Answers

Answer: 4 years

Step-by-step explanation:

The exponential decay equation is given by :_

y=A(1-r)^x, where A is the initial population and r is the rate of decay in x years .

The initial population of trout in a certain stretch of a river =4000

The rate of decay = 35% =0.35

To find the number of years (x) for the population of trout be 700, we put all the values of the above equation, we get

700=4000(1-0.35)^x\n\n\Rightarrow700=4000(0.65)^x\n\n\Rightarrow (0.65)^x=(700)/(4000)\n\n\Rightarrow(0.65)^x=0.175\n\n\text{Taking log on both sides, we get}\n\n\Rightarrow x\log(0.65)=\log(0.175)\n\n\Rightarrow x(-0.187086643357)=-0.756961951314\n\n\Rightarrow x=(-0.756961951314)/(-0.187086643357)\n\n\Rightarrow\ x=4.0460502029\approx4\text{ years}

4.97991230017 years is the final answer. I would suggest rounding your answer to the nearest tenth, so 5 years should be your correct answer.

A greenhouse that specializes in growing carnations is divided into sections. The number of plants in each section depends on the number of sprinklers in that section.There are y(5y − 4) red carnation plants and (9 + y)2 white carnation plants in a section with y sprinklers.

Which simplified expression represents the total number of red and white carnation plants in a section with y sprinklers?
5y2 + 18y +77
5y4 + 14y + 81
6y2 + 14y + 81
6y2 + 18y + 77

Answers

Answer:

C. 6y^2+14y+81

Step-by-step explanation:

We have been given that the expression y(5y-4) represents number of red carnation plants and expression (9+y)^2 represents number of white carnation plants in a section with y sprinklers in a green house.

To find the simplified expression that represents the total number of red and white carnation plants in a section with y sprinklers, we will add our both expressions.

y(5y-4)+(9+y)^2

Upon distributing y on 1st expression we will get,

5y*y-4y+(9+y)^2

5y^2-4y+(9+y)^2

Upon expanding the perfect square we will get,

5y^2-4y+(9^2+2*9y+y^2)

5y^2-4y+(81+18y+y^2)

5y^2-4y+81+18y+y^2

Now, we will combine like terms.

5y^2+y^2-4y+18y+81

6y^2+14y+81

Therefore, option C is the correct choice.

Good evening,

y(5y-4)+(9+y)²=5y²-4y+81+18y+y²
=6y²+14y+81

What is the volume of this cone?

Answers

Answer:

314

Step-by-step explanation:

volume of cone = 1/3 * pi * r^2 * h = 1/3 * pi * 5^2 * 12

Answer:

3

Step-by-step explanation: