A cat adoption facility takes in an average of 4 cats per day. The facility has to keep their cat occupancy below 200. Currently, the facility has 172 cats.

If none of their cats get adopted, how many more days, x, can the facility continue to take in cats? Select the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit.

A. x < 7
B. x < 28
C. x < 50
D. x < 24

Answers

Answer 1

Answer:

A. x<7

Step-by-step explanation:

B. x < 28

C. x < 50

D. x < 24

These answers exceed the cat adoption facilities cat limit.

Rate as Brainliest plz

Answer 2

Answer:

A. x<7

Step-by-step explanation:

We know three things:

The facility takes 4 cats per dayThe facility has to keep the occupancy below 200Currently, the facility has 172 cats

Now we want to know how many more days the facility can continue to take in cats if none of their cats get adopted.

First, we want to know how many cats until the facility exceeds the occupancy and to do it we have to subtract the occupancy minus the cats they already have:

200 - 172 = 28

With this answer, we know that if they get 28 more cats they will have 200 cats and the occupancy has to be below 200.

Now we want to know how many days will it take them to get 28 more cats:

We know that every day they get 4 cats, so we are going to divide the number of cats to get 200 by the number of cats they get every day:

28(cats) / 4(cats per day) = 7 days

So in 7 days, they will pass their occupancy, which means that they can only take cats less than 7 days.

The expression will be:

x < 7

Where:

x is how many more days they can take in cats

< means less than


Related Questions

What is the error in both of these problem

expain how you got your answer​

Answers

Answer:

Step-by-step explanation:

2.

Step where it was wrong ->

x-8 = 0

x=-8

They just put negative eight on the right side you have to cancel negative 8 out by adding negative 8 on both sides.

x-8=0

+8   +8

x=8 <- Right solution.

3.

Step where it was wrong ->

8(p-7) = 75

8p-7=75

Distributive Property you have to do 8 times p and 8 times -7, they just did 8 times p and forgot to do 8 times -7.

8(p-7)=75

8p-56=75     <- Do 8 * -7 in addition of doing 8 *p

8p=131

/8   /8

p = 16.735 or 131/8

Please answer this correctly

Answers

Answer:

Rita

Step-by-step explanation:

Everyone else is further from Rita.

The product of 12 and 5 decreased by 17

Answers

Answer: 0

Step-by-step explanation:

12 + 5 = 17

17 - 17 = 0

Hope this helps!

Answer:

0

Step-by-step explanation:

1. you want to add 12 +5 because "product" is the name of the answer to an addition problem

2. you'll get 17

3. subtract 17 from 17

4. you'll get 0

What is |-84.7|? A. 8 B. 84.7 C. -84.7 D. -84.7 or 84.7

Answers

Answer:

your answer is B

Step-by-step explanation:

Your answer would be B

Determine the length arc of JL

Answers

Answer:

The solution is

13

12

π.

Step-by-step explanation:

Arc Length=

m(ARC)

360

· 2πr

2x + 3 =-7
Match equation to its solution

Answers

Answer:

X= -5

Step-by-step explanation:

You must move all constants to one side of the equation (one side of the equal sign) and away from 2x. To do so, you must do the inverse operation, which would be subtraction in this case because 3 is a positive number. (Inverse of addition is subtraction, Inverse of subtraction is addition, Inverse of multiplication is division, and inverse of division is multiplication) If you squish a constant and variable together (2x) it means multiplication.What you must do to one side, you must do to the other. So, since you subtracted 3 from the 3, you must subtract 3 from -7, too(subtracting from a negative is just addition- but you keep the negative sign). Once this is done, your equation will be 2x=-10 Now, you must do the inverse operation to 2x to separate the 2. The inverse operation will be division. So, you divide both sides by 2. 2x divided by 2 will give you x. -10 divided by 2 will give you -5. (When you divided negative and positive numbers, the signs are different, meaning it's negative. If they had the same sign, it would be positive.)Therefore, your answer is x= -5

Hope I helped! :)

Sorry about the whole dang essay lol

Answer:

x= -5

Step-by-step explanation:

1. subtract 3 from both sides. You should have 2x = -10

2. divide both sides by 2. You should end up with x = -5

. A mason has 7,758 bricks that he needs to share equally among 9 different building sites. How many
bricks should go to each site?​

Answers

Answer:

862

Step-by-step explanation:

RE
The pair of points is on the graph of an inverse variation. Find the missing value.
(2, 8) and (x, 3)

Answers

Answer:  [tex]\bold{\dfrac{16}{3}}[/tex]

Step-by-step explanation:

Inverse variation uses the formula: xy = k

We are given that x = 2 and y = 8, so k = 16

Now, let's find x when y = 3 and k = 16

[tex]x(3)=16\\\\x=\dfrac{16}{3}[/tex]

sinθ> cosθ<0 where does angle θ lie

Answers

Since you want a negative cosine, your angle will surely lie in the II or III quadrant.

In particular, in the II quadrant, the cosine is negative and the sine is positive, so you surely have [tex]\sin(\theta)>\cos(\theta)[/tex]

As for the third quadrant, we start with

[tex]\sin(\pi)=0,\quad\cos(\pi)=-1[/tex]

(which implies that the sine is greater than the cosine) and we end with

[tex]\sin\left(\dfrac{3\pi}{2}\right)=-1,\quad\cos\left(\dfrac{3\pi}{2}\right)=0[/tex]

which implies that the sine is less than the cosine.

Halfway through, we have

[tex]\sin\left(\dfrac{5\pi}{4}\right)=\cos\left(\dfrac{5\pi}{4}\right)=\dfrac{\sqrt{2}}{2}[/tex]

So, only the first half of the III quadrant is fine, because sine and cosine are both negative, but the sine is "less negative" than the cosine, so we have, as requested,

[tex]\begin{cases}\sin(\theta)>\cos(\theta)\\\cos(\theta)<0\end{cases}[/tex]

So, the final answer is that the angle lies in the interval

[tex]\dfrac{\pi}{2}<\theta<\dfrac{5\pi}{4}[/tex]

Answer:

[tex]\theta\in\left(\pi+2k\pi;\ \dfrac{3\pi}{4}+2k\pi\right)[/tex]

Step-by-step explanation:

I think correct inequality is

[tex]\cos\theta<\sin\theta<0[/tex]

The easiest way is to draw graphs of sine and cosine functions in one coordinate system and read a set of solutions from the graph (look at the picture).

We need to solve the equation

[tex]\sin\theta=\cos\theta[/tex]

to get the intersection points of the graphs.

[tex]\sin\theta=\cos\theta\qquad\text{divide both sides by}\ \cos\theta\neq0\\\\\dfrac{\sin\theta}{\cos\theta}=1\to\tan\theta=1\to\theta=\dfrac{\pi}{4}+k\pi,\ k\in\mathbb{Z}[/tex]

We look at where the sine function graph is above the cosine function graph.

Select the correct answer. What is the solution for x in the equation? A.3 B. -3 C.-1/3 D. 1/3

Answers

Final answer:

The solution for x cannot be provided as the actual equation is missing from the question. Therefore, we are unable to solve for x or determine which of the given options is correct.

Explanation:

The solution for x in the equation cannot be determined from the information provided. The equation itself is missing from the question, so we cannot assess what the correct answer might be from the options A.3, B. -3, C. -1/3, and D. 1/3. Solving for x in any given equation generally involves isolating x on one side of the equation using algebraic operations such as addition, subtraction, multiplication, division, and sometimes applying the quadratic formula if the equation is a quadratic one (ax² + bx + c = 0).

For example, if the equation were as simple as x + 2 = 5, we would solve it by subtracting 2 from both sides to isolate x, finding that x = 3. However, without the specific equation, we cannot proceed with finding a solution for x.

The correct answer is: D. [tex]\(x = -3\)[/tex]

To find the solution for x in the given equation, let's combine like terms and solve for x:

[tex]\[16x - 4 + 5x = -67\][/tex]

Combine the x terms:

[tex]\[21x - 4 = -67\][/tex]

Add 4 to both sides:

[tex]\[21x = -63\][/tex]

Divide by 21 to solve for x:

[tex]\[x = -3\][/tex]

Complete Question:

Select the correct answer. What is the solution for x in the equation?

16x-4+5x=-67

A. x = 1/3

B. x = -1/3

C. x = 3

D. x = -3

solve for x x/7 +9=15

Answers

subtract the 9 from 9 to cancel it out. Then subtract 9 from 15, which is 6. And 6 times 7 is 42.

Answer:

x = 42

Step-by-step explanation:

x/7 + 9 = 15

=> x/7 = 15 - 9

=> x/7 = 6

=> x = 6(7)

=> x = 42

Factor the following: 4x^2 + 18x - 10
so far I factored out 2: 2(x^2 + 9x - 5)
what's the next step?

Answers

Your input: factor 4x2+18x−10.

Factor the common term:

(4x2+18x−10)=(2(2x2+9x−5))

To factor the quadratic function 2x2+9x−5, we should solve the corresponding quadratic equation 2x2+9x−5=0.

Indeed, if x1 and x2 are the roots of the quadratic equation ax2+bx+c=0, then ax2+bx+c=a(x−x1)(x−x2).

Solve the quadratic equation 2x2+9x−5=0.

The roots are x1=12, x2=−5 Therefore, 2x2+9x−5=2(x−12)(x+5).

2(2x2+9x−5)=2(2(x−12)(x+5))

Simplify: 4(x−12)(x+5)=2(x+5)(2x−1).

Thus, 4x2+18x−10=2(x+5)(2x−1).

Answer: 4x2+18x−10=2(x+5)(2x−1).

(3×7)+5=26 write a situation for this equation​

Answers

Answer:

Tom is at the grocery store and is buying 3 treats. Each treat costs him 7 dollars. He is also purchasing a drink for 5 dollars. What is the total amount he is spending?

39X5=5X(____-1)=(5X___)-(5X1)=___-___=__

Answers

Answer:

8 85

Step-by-step explanation:

Final answer:

The operational value being sought in the equation 39X5 equals 5X(___-1) is 40. When you multiply 5 with 40 and subtract the product of 5 and 1 from the result, you get 195, which matches 39x5.

Explanation:

The equation provided is a multiplication and subtraction problem, where you're tasked to find a sequence of operations that gets from 39x5 to an answer. Detangle it step by step:

The first operation is simple multiplication: 39x5 equals 195.Then we need to figure out the number which when multiplied by 5 and subtracted by the product of 5 and 1 results in 195. This number is 40 because 5x40 is 200, and subtracting 5 (which is 5x1) gives us 195. Hence the equation becomes 5x(40-1). To verify, the left side of the equation 5x(40-1) becomes (5x40) - (5x1) which equals 200 - 5, and that is indeed 195, matching the right side of the first equation (39x5).

Learn more about Multi-step equations here:

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8 x 1,000,000+5 x 10,000+2 x 1,000+6 x 100 in standard form?

Answers

Answer:

8052600

Step-by-step explanation:

According to the Order of Operations, in this case, you deal with all multiplication before adding everything up.

I am joyous to assist you anytime.

the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form is equal to 8,052,600.

To express the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form, we can simplify the multiplication and then sum up the products.

8 x 1,000,000 = 8,000,000

5 x 10,000 = 50,000

2 x 1,000 = 2,000

6 x 100 = 600

Adding these values together:

8,000,000 + 50,000 + 2,000 + 600 = 8,052,600

Therefore, the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form is equal to 8,052,600.

Learn more about standard form here

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List the fractions and decimals from greatest to least
3/4 -7/10 -3/4 8/10​

Answers

Remember that in fractions the small fractions are greater then big fractions and also remember that this rule doesn't apply with negative fractions and it's the opposite.

[tex]\frac{3}{4} -\frac{7}{10} -\frac{3}{4} \frac{8}{10}[/tex]

[tex]\frac{3}{4} >\frac{8}{10}[/tex]

[tex]\frac{8}{10} >-\frac{7}{10}[/tex]

[tex]-\frac{7}{10} >-\frac{3}{4}[/tex]

[tex]= \frac{3}{4} ,\frac{8}{10} ,-\frac{7}{10}, -\frac{3}{4}[/tex]

Therefore your answers are "3/4, 8/10, -7/10, and -3/4."

Hope this helps.

Which expression has a value of 32 when m = 8? A. m-8 B. 4m C. m/2 D. M+8 ANSWER ASAP 20 POINTS QUICK

Answers

Answer:

B. 4m

Step-by-step explanation:

What you do is you just take the 8 and put it into the m.

m-8, 8-8=0 so A isn't your answer.

4m, 4(8)=32 so B is your answer.

B. 4m is your answer.

The expression 4m will give 32 at m=8 the correct option is B.


What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be calculated as:-

A. m - 8 = 8 - 8 = 0

B. 4m = 4 x 8 = 32

C. m / 2 = 8 / 2 = 4

D. m + 8 = 8 + 8 = 16

Therefore, the expression 4m will give 32 at m=8 the correct option is B.

To know more about Expression follow

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What is the slope of the line described by the equation below?

Answers

Answer:

7

Step-by-step explanation:

- 0.46 divided 0.2 =

Answers

Answer:

-2.3

Step-by-step explanation:

Don't forget to move the decimal

I really don't get the whole Mean, Median and Mode thing.​

Answers

Answer:

The mean is the average you're used to, where you add up all the numbers and then divide by the number of numbers. The median is the middle value in the list of numbers. The mode is the value that occurs most often.

Mean is all the numbers together in total so in order to get the mean you just add up all the numbers then divide by the total amount of numbers in that set.

Median in order to find the median you rearrange the numbers least from greatest and find the average from the two numbers in the middle of the set 2,2,2,2,2,4,5,5 21, in this case 2 because it's the number in the middle.

Mode in a set of numbers the mode is the most occurring of numbers 2,2,2,4,5,21,2 2,5 which would be 2 in this case.

Hope this helps.

0. Kevin needs to buy shrubs for his yard. Six shrubs at the nursery cost $72.00. At the garden
store, 6 shrubs cost $66.00. How much will be save if he buys 21 shrubs from the garden store
compared to if he had bought them at the nursery?
$12.00
6 Shows
67ttoo

Answers

Final answer:

By calculating the cost per shrub at both the nursery and the garden store, then multiplying by 21 shrubs, we find that Kevin saves $21.00 by purchasing from the garden store instead of the nursery.

Explanation:

Kevin is trying to decide between two stores to purchase a total of 21 shrubs for his yard. In order to calculate how much money Kevin can save by choosing the garden store over the nursery, we will need to determine the cost per shrub at each location and then multiply by the total number of shrubs Kevin wants to purchase.

At the nursery, six shrubs cost $72.00, which means each shrub costs $72.00 ÷ 6 = $12.00.

For 21 shrubs, the cost at the nursery would be 21 × $12.00 = $252.00.

At the garden store, six shrubs cost $66.00, which gives us a cost of $66.00 ÷ 6 = $11.00 per shrub.

Therefore, for 21 shrubs, the total cost would be 21 × $11.00 = $231.00.

Now, let's find out the savings if Kevin buys from the garden store instead of the nursery: $252.00 - $231.00 = $21.00.

Thus, Kevin will save $21.00 by purchasing the shrubs from the garden store.

A middle school principal orders 60 pizzas for a schoolwide pizza party. Each pizza is either cheese,pepperoni, or mushroom. There are an equal number of cheese and pepperoni pizzas. Of the total amount of pizzas, 40% are mushroom. How many pepperoni pizzas are there?

A. 15
B. 18
C. 20
D. 30

Answers

18 because if you divide them you'll get it

Answer:

i think 18 or twenty not sure tho

What is 17/20 in a decimal

Answers

Answer:

0.85

Step-by-step explanation:

1/20=0.05

0.05*17=0.85

17/20 as a decimal would be 0.85

I need back ASAP please help

Answers

Answer:

40

Step-by-step explanation:

11 plus 4 divided by 3 times square root of 64 equals to 40

Answer:

40

Step-by-step explanation:

11+4=15÷3=t

5x8==40

what are the coordinates of the midpoint of the segment whose endpoints are A(-3, -5) and B(2,7)

Answers

Answer:

(-0.5,1)

Step-by-step explanation:

The half of the diference between the points its equal to its midpoint distance:

[tex](\frac{-3+2}{2},\frac{-5+7}{2} )=(-0.5,1)[/tex]

Omg what is my life plz help

Answers

Answer:

bag 1) 10.3 grams

bag 2) 5.23 grams

bag 3) 3.74 grams

And the total mass is 14.27

26 ptss!! select the expressions that are equivalent to the expression below.

Answers

Answer:

1st, 2nd, and last.

Step-by-step explanation:

For the first two common rules can be applied such as [tex]n\sqrt{a/b}[/tex] = [tex]\frac{\sqrt[n]{a} }{\sqrt[n]{b} }[/tex] and that [tex]\sqrt[n]{\frac{a}{b} } = (\frac{a}{b})^{n}[/tex]

and for the last one this is just simplifying the radical and if you factor it you realize that, [tex]\frac{750}{512} = \frac{5^3}{8^3}*6[/tex] meaning that you can take the radical off of 5/8 and end up with that final answer

Answer:(A), (B) and (E)

Step-by-step explanation:

I got a 100% on my test

How do you solve this multi-step equation?
-4x-7-3x+4=25

Answers

Answer:

x= -4

Step-by-step explanation:

Combine alike terms:

-7x-3=25

Add a 3 to both sides:

-7x=28

Divide by -7 on both sides:

x= -4

Finding the area of a triangle in sq. mm Answer choices in picture*!!

Answers

Answer:

200 mm^2

Step-by-step explanation:

Area of the rectangle = 2 * 25 = 50 mm^2.

Area of the triangle = 1/2 * 20 * 15

= 1/2 * 300

= 150 mm^2.

Total area = 150 ^ 50 = 200 mm^2.

Nine is less than a number is no more than 8 and no less than 3

Answers

Answer:

3 <= x <= 8

Step-by-step explanation:

A number is denoted as an arbitrary variable, let's call it x.

We have a double inequality:

1. No more than 8 means less than or equal to 8

2. No less than 3 means greater than or equal to 3

3 <= x <= 8

Answer:

12 ≤ n ≤ 17

Step-by-step explanation:

Let n - number

Nine less than a number: n - 9

is no more than 8: ≤ 8

and no less than 3: 3.

We have the inequality:

[tex]3\leq n-9\leq8\qquad\text{add 9 to all sides}\\\\3+9\leq n-9+9\leq8+9\\\\12\leq n\leq17[/tex]

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