Sophie read a total of 4 books in 2 months. Then, she read 10 books in 5 months. What is the constant of proportionality?

Answer:

I think its A

Step-by-step explanation:

The required system of inequalities is x + y ≤ 200 and 4x + 3y ≤ 750. Hence, the first option is the correct choice.

Inequality is a non-equal relation between two expressions involving variables and constants.

The sign of the inequality can be, less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥).

In the question, we are asked to write the system of inequalities to represent the given scenario,  where x is the number of adults and y is the number of campers.

We are informed that there is a room for 200 people.

Thus, the total number of people, that is, the number of adults + the number of campers, or, x + y should be less than or equal to 200.

This gives us an inequality:

x + y ≤ 200.

We are informed that the cost of an adult is $4 and the cost for a camper is $3, and the total budget is $750.

Thus, the total cost, that is, the cost of all adults + the cost of all campers, or, 4x + 3y should be less than or equal to 750.

This gives us an inequality:

4x + 3y ≤ 750.

Thus, the required system of inequalities is x + y ≤ 200 and 4x + 3y ≤ 750. Hence, the first option is the correct choice.

Learn more about writing inequalities at

https://brainly.com/question/27485614

#SPJ2

Answer:

50 s - 100

Step-by-step explanation:

Answer:

50 s - 100

Step-by-step explanation:

Answer:

the answer is 5649

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

multiply 100.00 x 5% which is 100x 0.05, then it will give you 5.

add 5, 4 more times which will give you 20

Answer:

Derions answer is not correct becuase 500 x 0.015=7.5 inches.  If he got this as an answer that would meen that the stack of paper is 7.5 inches tall, which is not correct.  

If we divide 1.875 by 500 we get 0.00375 which is the thickness of each sheet of paper.

The answer is c. 180

Answer:

arithmetic (+3)

15, 18, 21

Step-by-step explanation:

Answer:

15,18,21

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

2x+3=2x+6-5

2x+3=2x+1

The two x's cancel out, so you get

3=1

Subtract 3 from each side to get

0=-2

So the answer is no solutions

To find mean:

1) Add up all data values to get the sum

2) Count the number of values in your data set

3) Divide the sum by the count

First we have to find all the data values. We do this by finding all of the peas, not just the information numbers of peas in a pod.

4 x 2 = 8

5 x 10 = 50

6 x 18 = 108

7 x 14 = 98

8 x 6 = 48

8 + 50 + 108 + 98 + 48 = 312 total number of peas

2 + 10 + 18 + 14 + 6 = 50

312 / 50 = 6.24 peas per pod

So in our example the mean number of peas in a pod is 6.24.

I hope this helps! :)

Answer:

5h 15 min

Step-by-step explanation:

70 mph * 4,5 = 315 miles

315 / 60 = 5,25h

5,25h = 5 1/4h = 5h 15 min

Answer:

6.8

Step-by-step explanation:

i hope tis helps

Answer:

Multiply the numinators together then the denominators. Answer 20/36 then simplify. Hope this helps :)

Step-by-step explanation:

OOops, answered the wrong question-

5/6 x 4/6 = 20/36 as simplified as 5/9 in fraction form.

Step 1

Multiply both numerators

= 5 x 4

= 20

step 2

Multiply both denominators

= 6 x 6

= 36

step 3

Use above values of step 2 & 3, and rewrite as below

= 20/36

Answer:

1.4 x 10^-4

I cant do powers on my laptop so thats what the arrow represents, I don't know if you know that or not so.

the -4 is because you move the decimal to the right 4 times to make the decimal between the two numbers making it 1.4

Answer:

$1.25 per pound

Step-by-step explanation:

$5 ÷  4 = $1.25

$8.75 ÷ 7 = $1.25

Answer:

You can practice a lot and reliable resources to help get answers.

Step-by-step explanation:

a couple of sites to practice on is IXL, khan academy, and aleks. hope this helps. :)

Answer:

Step-by-step explanation

:

Hence, the mass of the gasoline in a full tank that holds [tex]75L[/tex] is [tex]680[/tex]grams.

What is the mass?

Mass refers to the quantity of matter in an object. Mass is generally measured by how much something weighs. The more matter something has, the more it will weigh.

Here given that,

The mass of [tex]1[/tex] L of water is [tex]1[/tex] kg. The mass of gasoline is [tex]0.68[/tex] times the mass of water.

As we know,

[tex]1L=1000ml[/tex]

So, [tex]0.68[/tex]×[tex]1000=680grams[/tex]

As per this the mass of water is greater than the mass of gasoline.

Hence, the mass of the gasoline in a full tank that holds [tex]75L[/tex] is [tex]680[/tex]grams.

To know more about the mass

https://brainly.com/question/28704035

#SPJ2

Step-by-step explanation:

you just have to put the given values in place of the variable names and then simply calculate.

(-2² + 2²) - 2(-2² - 2²) = (4 + 4) - 2(4 - 4) = 8 - 2×0 = 8

so, B is the right answer.

please remember the correct sequence of operations :

first are brackets.

then exponents.

then multiplications and divisions.

and then (at last) additions and subtractions.

and also please remember : multiplying a negative number with a negative number creates a positive result.

that is of course also true for squaring a negative number, as ² just means that the negative number is multiplied with itself.

now you also know the result of -2³, right ?

as this means -2 is multiplied 3 times by itself. what does that do to the sign ?

-2 × -2 = 4 (positive).

but now we have to multiply a third time

4 × -2 = -8 (because multiplying a positive number with a negative number creates a negative result).

Answer:

Add them all up then divided by how many numbers there are

Step-by-step explanation:  :)

Answer:

How do you find the mean?

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Step-by-step explanation:

Answer:x=-7

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

This what you wrote:

[tex] cd - \dfrac{d^2}{4} = [/tex]

[tex] = (0)(-6) - \dfrac{(-6)^2}{4} [/tex]

[tex] = 0 - \dfrac{36}{4} [/tex]

[tex] = -\dfrac{36}{4} [/tex]

[tex] = -9 [/tex]

Maybe this is what you meant to write:

[tex] \dfrac{cd - d^2}{4} = [/tex]

[tex] = \dfrac{(0)(-6) - (-6)^2}{4} [/tex]

[tex] = \dfrac{-36}{4} [/tex]

[tex] = -9 [/tex]

I hate files that give you viruses, anyways I'm going to do this question.

Though, can you give me more information please?

Answer:

Melinda saves 2 less dollars than Marcus each week.

Step-by-step explanation:

Y = 12x + 75 is Melinda's equation. Y = 14x + 25 is Marcus's equation. First we'll disregard how much money they have saved already to see how much they save weekly. So Melinda's new equation is Y = 12x, and Marcus's new equation is Y = 14x. Now we'll do Marcus's equation (14x) - Melinda's equation (12x) to see how much more money Marcus saves each week, which will in turn will tell us how much less money Melinda saves each week.

14 x - 12x = 2. (x-x=0) This tells us Marcus saves 2 more dollars than Melinda each week.

Which gives us our answer, Melinda saves 2 less dollars than Marcus each week.

Well, 9:00 AM to 4:00 PM would be 7 hours. 7 hours into minutes would be 420. 420 divided by 20 is 21. This means it multiplies 21 times from 9:00 to 4:00. Since it multiplies by 2, than you need to skip count with the pattern multiply by 2 and stop once you have 21 numbers.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576. That would be 21 numbers.

The answer would be 1048576.

I think this is correct. :/

Answer:

your welcomeeeeeeeeeeee

Step-by-step explanation:

:)

The sum on both sides need to be equal to be balanced. Because the right side is being multiplied then also multiply the left side.

Answer: 3rd choice: f1 x d1

Answer:

Melinda adds $12 to her savings account each week and Marcus adds $14 each week  

Melinda adds $2 less than Marcus

Step-by-step explanation:

Melinda:

135 - 75 = 60

60 ÷ 5 = 12

She saves $12 each week

Marcus:

y=14x+25

y=14x5+25

y= 70+25

y=95

95-25=70

70÷5= 14

Marcus saves $14 each week

Answer:

I think the larger block has a scale 25 times bigger than the smaller block since 100 divided by 4 equals 25

Please tell me if I'm wrong

I hope this helps

:D

Answer:

The Scale factor is 5.  

Step-by-step explanation:  

Because the area has cm^2  to find the scale factor you find the number it takes to get from one area to the next and take the square root.

4X = 100

X = 100/4

X = 25 (Take the sqrt because of area)

X = sqrt(25)

X = 5

The Scale factor is 5.

Answer:

Step-by-step explanation:

First change 4 3/10 to 4.3. Then you change 4.3 + -6.2 to 4.3 - 6.2.

Then you do 4.3 - 6.2 and you should get - 1.9.

Answer:

The answer is (-1.9)

Step-by-step explanation:

4 3/10 = 4 × 10 + 3/10 = 43/10 = 4.3

Now,

4.3 - 6.2 = -1.9

Thus, The answer is (-1.9)

-TheUnknownScientist 72

Answer:

24.75

Step-by-step explanation:

divide 33.00 by 4 and multiply the sum by 3

Answer:

57.75

Step-by-step explanation:

Answer:

I think its 1/2 hope this helps

Step-by-step explanation:

Answer:

1/2 Block (B)

Step-by-step explanation:

7 1/2 divided by 15 is 1/2.