The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult?

Answer:

1) 630 roses with 10 roses in each bouquet  = 63 bouquets

2) 640 roses with 12 roses in each bouquet  = 53 bouquets

3) 975 roses with 18 roses in each bouquet  =  54 bouquets

4) 1,250 roses with 24 roses in each bouquet = 52 bouquets

Step-by-step explanation:

We need to match each  description with the number of bouquets that can be made.

Solving this, we need to make bouquet of roses and each bouquet contains the given number of roses. We need to divide the total roses available by number of roses in each bouquet to find number of bouquets.

The formula used will be: [tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}[/tex]

1) 630 roses with 10 roses in each bouquet

Total roses = 630

Number of roses in each bouquet = 10

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{630}{10}\\Number\:of\:bouquets=63[/tex]

So, 63 bouquets can be made.

2) 640roses with 12 roses in each bouquet

Total roses = 640

Number of roses in each bouquet = 12

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{640}{12}\\Number\:of\:bouquets=53.3 \approx53[/tex]

So, 53 bouquets can be made.

3) 975 roses with 18 roses in each bouquet

Total roses = 975

Number of roses in each bouquet = 18

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{975}{18}\\Number\:of\:bouquets=54.1\approx54[/tex]

So, 54 bouquets can be made.

4) 1,250 roses with 24 roses in each bouquet

Total roses = 1250

Number of roses in each bouquet = 24

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{1250}{24}\\Number\:of\:bouquets=52[/tex]

So, 52 bouquets can be made.

Answer:

see explanation

Step-by-step explanation:

A line sloping upwards from left to right has a positive slope.

Line 1 is in this category.

A line sloping downwards from left to right has a negative slope.

Line 4 is in this category.

The slope of a vertical line, parallel to the y- axis is undefined.

Line 2 is in this category.

The slope of a horizontal line, parallel to the x- axis is zero.

Line 3 is in this category.

Answer:

y= -5/3x + 4

Step-by-step explanation:

hope this helps :)

Answer:

[tex]y=\frac{x+2}{4}[/tex] or y = 0.25x + 0.5

Step-by-step explanation:

You need to try change the subject from x to y.

x = 4y - 2

We first move -2 to the left, making the equation

x + 2 = 4y i.e.

4y = x + 2

We then divide both sides by 4.

[tex]y=\frac{x+2}{4}[/tex] or y = 0.25x + 0.5

We now have successfully made y the subject, and effectively solving the equation.

Answer:

Option A

The system of inequalities

x + y ≤ 200

4x + 3y ≤ 750

Step-by-step explanation:

Let the

Number of Adults = x

Number of campers = y

A summer camp cookout is planned for the campers and their families.

There is room for 200 people.

x + y ≤ 200

Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.

Maximum means the total cost is equal to or less than $750

$4 × x + $3 × y ≤ $750

4x + 3y ≤ 750

The system of inequalities

x + y ≤ 200

4x + 3y ≤ 750

Option A is correct

Answer:

U did not add a picture but if u do I will help.

Step-by-step explanation:

It should be 8 to the right and 12 to the left which should end at -4

Answer:

The answer is 4?? tell me if it's wrong or not.

Answer:

x-y+1 = 0

Step-by-step explanation:

Replace x & y of each coordinates into the function then you'll get the answer.

Answer:

( -1, 0)

Step-by-step explanation:

(2 + -4)/2 = -1

(2 + -2)/2 = 0

Answer:

18−1(−3x+9) 18+3−9

Step-by-step explanation:

Answer:

-54x+156

I dunno if it's correct

Answer:

66 pounds of tomatoes

Step-by-step explanation:

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

From the above question:

5 people = 3 pounds of tomatoes

110 people = x pounds of tomatoes

Cross Multiply

5 people × x pounds = 110 people × 3 pounds

x pounds = 110 people × 3 pounds/5 people

x pounds = 66 pounds of tomatoes

Answer:

88*0.9= 79.2 (since it's 10% higher, multiply by .9 to find out what 90% of 88 is

you also could've done 88*0.1=8.8 and then subtract 8.8 from 88 and get 79.2

either way his normal weight is 79.2kg

Answer:

|1|, |-2|, |7|, |12|.

Step-by-step explanation:

I'm assuming this is absolute value.

Answer:

y=2x+2

I hope this helped out!

Answer:

y = 1/5x - 5

Step-by-step explanation:

slope intercept form: y=mx+b

m is the slope

to find slope, do rise/run. for this graph it comes out to be 2/10, which simplifies to 1/5

b is your y-intercept, aka where the line comes in contact with the y-axis

by calculating your slope, you can then find that if you follow the 1/5 slope, but make it a negative, your line would cross the y-anix at -5

therefore your answer is: y = 1/5x - 5

hope this helped!

Answer:

90

Step-by-step explanation:

Answer:

4 fancy and 5 plain

Step-by-step explanation:

Answer:

Top Right Problem: PACKAGE #2 and $0.80

Bottom left: BAND and $0.05

Bottom Right: PEPSI and $0.05

Answer:

26.59 kilometers

Step-by-step explanation:

Answer:package 3

Step-by-step explanation:

Hope I am right it is there cheapest

Answer:

The question you posted was a bit confusing for me, but I'm assuming that you want the simplified ratio of the number of white marbles to the number of green marbles.

The answer would be 8:3.

Step-by-step explanation:

There are 8 white marbles and 3 green marbles, so you get 8:3. And since 8 and 3 are relatively prime, no simplifying is needed.

The answer is 8:3.

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

For our case, the solutions will be:

[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

Answer:

2 1/2 cups

Step-by-step explanation:

First, our ratio is sugar:flour or 2:5, so our question is 1:? We find ? by finding how we got to 1 on the other side.

2 ÷ 2 = 1

And what we do to one side, we always have to do to the other to make it proportional, so

5 ÷ 2 = 2.5 or 2 1/2

So, if Jason is using 1 cup of sugar, he should use 2 1/2 cups of flour

hope this helps

Answer:the second one

Step-by-step explanation: hope this helps

Answer:

donut

Step-by-step explanation:

Answer:

187.96 cm

Step-by-step explanation:

Given hat

Tyson is 6 feet and 2 inches tall

Also

There is 2.54 cm in 1 inch

Now the tyson height in the centimeter is

= 6.16666 × 30.48

= 187.96

Hence, the Tyson height in the centimeter is 187.96

Answer:

187.96

Step-by-step explanation:

(answer d)

Answer:

19050 or some other number very close like 19039

Step-by-step explanation:

I took test and got this one right.

Answer:

the guys above :)

Step-by-step explanation:

give him brainliest if you have not :)

Answer:

I will do the first one for you 115/24

Step-by-step explanation:

First find the prime number is of the number on the bottom of the fraction

Second after finding the prime numbers multiple all the times number starting with the bigger number’s prime number, and if the other prime number have a pair dont add them into equation. Ex 8-2 2 2 and 4-2 2 the 8 has 3 (2s) cancelling out the 4’s( 2s) other ex. 6-2 3 and 18- 2 3 3 the 18 has a 2 and 3 cancelling out the 6’s 2 and 3 making it multiple 2x3x3

Third after finding this number at step (2) this is the number at the bottom of the fraction making it easy to do any equations on it

Hope this helps :D

Answer:

i would go for B

Step-by-step explanation: