The Martinex twins, Carlos and Clarita, are trying to find a
way to make money during the summer vacation. When they overhear their aunt complaining about how difficult it is to find someone to care for her pets while she will be away on a trip, Carlos
and Clarity know they have found the perfect solution. Not only do
they have a large, unused storage shed on their property where they
can house animals, they also have a spacious fenced backyard where
the pets can play. Carlos and Clarita are making a list of some of the
issues they need to consider as part of their business plan to care for cats and dogs while their owners are on vacation.

A:Cat pens will require 6ft2 of space, while dog runs require 24ft2. Carlos and Clarita have up to 360ft2 available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Utilize the information about space available to write a two variable equation to represent the amount of space used for boarding the cats and dogs. Start-up Costs: Carlos and Clarita plan to invest much of the $1280 they earned from their last business venture to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run. Write a two variable equation to represent the start-up costs for boarding the cats and dogs. and
Graph the two equations one the same x, y plane in Desmos



B: Clarita and Carlos realize after looking at the graphed equation models they do not have to use all of the available space nor do they need to use all of the start up money. They decide to explore a system where they can better visualize and plan for up to and including the available space and start up funds.

Change your original equations into inequalities
is screenshot

C:
Of course, Carlos and Clarita want to make as much money as possible from their business, so they are trying to determine how many of each type of pet they should plan to accommodate. They plan to charge $8 per day for boarding each cat and $20 per day for each dog. After surveying the community regarding the pet boarding needs, Carlos and Clarita are confident that they can keep all of their boarding spaces filled for the summer.
So the question is, how many of each type of pet should they prepare for? Their dad has suggested the same number of each, perhaps 12 cats and 12 dogs. Would the dad’s suggestion be possible? Why or why not?

Answer:

Large scoop holds 48 units.

Step-by-step explanation:

Large:  x

Small:  .75x = 36

               x = 48 units

Answer:

Step-by-step explanation:

It would be 8.20 because the 10 place is higher than the 10 place in 8.002

Answer:

x=18

Step-by-step explanation:

‹B=‹E

40°=2x+4

40-4=2x

36=2x

x=18

Answer: 5/10

Explanation: Compare the denominators. Since 2 ⋅ 5 = 10, multiply the numerator 1 by 5 to get 5.

Answer:

X= -8

Step-by-step explanation:

First you distribute the 5 to the parenthesis to get 5x-30+4=7x-10. Then subtract 14 on both sides to get 5x-16=7x. Next, subtract 5x from both sides to get -16=2x. Now you divide by 2 on both sides to get -8=x.

Answer: x = - 8

Step-by-step explanation:

The first step in applying the distributive property:

5 (x - 6) + 4 = 7x - 10

5x - 30 + 4 = 7x - 10

The second step is to combine like terms by subtracting 10 from -30, and subtracting 4 from - 20:

5x - 30 + 4 = 7x - 10

5x - 16 = 7x

The third step is to subtract 5x from 7x:

5x - 16 = 7x

- 16 = 2x

The last step is to divide each side by 2 to isolate the variable, or find x:

- 16/2 = 2x/2

- 8 = x

or x = - 8

I hope I helped and have a great day! ^-^

Answer:

-5y

Step-by-step explanation:

We are to simplify the expression

5x - 5(y+x)

Open the bracket by applying the distributive law;

5x-(5(y)+5(x))

5x - (5y+5x)

5x - 5y - 5x

Collect like terms to have:

5x - 5x - 5y

0-5y

= -5y

Hence the simplified form is -5y

Answer:

First ones D I’m pretty sure

Step-by-step explanation:

Answer:

The average velocity of the car is 1.5 m/s

Step-by-step explanation:

The given parameters are;

The displacement of one of the cars north of the start after 5 seconds = 10 meters

The displacement of the car north of the start after 15 seconds = 25 meters

The average velocity of the cars [tex]\overline v[/tex] is given as follows;

[tex]\overline v = \dfrac{\Delta x}{\Delta t}[/tex]

Where;

Δx = The change in the displacement of the car = 25 m - 10 m = 15 m

Δt = The corresponding amount of the change in time 15 s - 5 s = 10 s

By substituting the known values of Δx and Δt in the equation for the average velocity of the car, [tex]\overline v[/tex], we have;

[tex]\overline v = \dfrac{15 \ m}{10 \ s} = 1.5 \ m/s[/tex]

∴ The average velocity of the car, [tex]\overline v[/tex] = 1.5 m/s

Answer: 3rd one

Step-by-step explanation:Because I’m not from 63rd nahh jkjk I don’t have to explain its hard to

Explain

Answer:

-16, -4

Step-by-step explanation:

x² +20x +100 -36 = 0

x² +20x +64 = 0

x² -Sx +P =0, where S= sum of roots, P=product of roots

so what 2 numbers have

S= -20 and P = 64 , ...that ul be -4, -16

or you can use factoring:

( x+16) ( x+4) = 0

x+16 = 0 , x= -16

x+4 =0, x = -4

or you can do quadratic equation, or graph ...

Answer: The Answer is:

Fraction form: x= -32/11

Decimal form: x= -2.90909....

Step-by-step explanation:

1. Add similar elements: 2x+20x=22x

22x+100=36

2. Subtract 100 from both sides:

22x+100-100=36-100

3. Simplify:

22x=-64

4. Divide both sides by 22:

22x÷22=-64÷22

5. Your Answer:

x= -32/11

Answer:

24 boards

Step-by-step explanation:

From the above question, the width of a wooden board for a fence = 6 1/4 inches

How many boards are needed to build a fence that is 150 inches long?

This is calculated as:

6 1/4 inches = 1 board

150 inches = x

Cross Multiply

6 1/4 × x = 150 × 1

x = 150 ÷ 6 1/4

x = 150 ÷ 25/4

x = 150 × 4/25

x = 24 boards

Hence, 24 boards would be needed to build a fence that is 150 inches long

Answer:

x≤−6 or x≥−4

Step-by-step explanation:

We need to graph the inequality [tex]x^2+10x\ge -24[/tex]

We can find the solution of the graph as follows :

[tex]x^2+10x+24\ge 0\\\\x^2+6x+4x+24\ge 0\\\\x(x+6)+4(x+6)\ge 0\\\\(x+4)(x+6)\ge 0\\\\x\le -6\ \text{and}\ x\ge -4[/tex]

The attached figure shows the graph for the given inequality.

Step-by-step explanation:

2 * 2 for potatoes = £4

3 * 3 for carrots = £9

90p * 3 for turnips = 270p = £2.70

total price = 9+4+2.70=15.70

change = 20 - 15.70 = £4.30

Answer:

Time Taken by each = 26 min 15 sec

Step-by-step explanation:

Given:

Total time play = 105 min

Total number of friends = 1+3 = 4

Each play equal

Find:

Time Taken by each

Computation:

Time Taken by each = Total time play / Total number of friends

Time Taken by each = 105 / 4

Time Taken by each = 26 min 15 sec

Answer:

$13,708 dollars lost total

Step-by-step explanation:

10458+3250=13708

Answer:

x = - 2

Step-by-step explanation:

Givens

(2,5)

(x,3)

m = 1/2

Formula

m = (y2 - y1)/(x2 - x1)

Solution

y2 = 3

y1 = 5

x2 = x

x1 = 2

1/2 = (3 - 5)/(x - 2)                 Cross multiply

1*(x - 2) = 2 (-2)                      Combine and remove the brackets.

x - 2 = - 4                               Add 2 to both sides

x = - 4 + 2

x = - 2

Answer:

y = -2x + 5

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope and c is the y-intercept. Since we already know the values, we can just put it into the equation.

y = mx + c

y = -2x + 5

Answer:

y = - 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = 5 , thus

y = - 2x + 5 ← equation of line

Answer:

6n-2

is this what you needed??,

Answer:

1.25x+0.75y>25

x+y>20

Explanation:

Selling 20 cups of lemonade and 15 ice pops will raise enough money to go to the water park.

0.75x+1.25y≥25

Answer:

Step-by-step explanation:

[tex] = - 1[/tex]

Answer:

B.

Step-by-step explanation:

The original equation is cos 64 = 32/k. To solve for k we need to isolate it. we can multiply by k then divide by cos 64. This gives us the equation k = 32/cos 64. Therefore, B is the right answer.

Answer:

Step-by-step explanation:

120°

Answer:

(6,-8)

Step-by-step explanation:

By rotating the point (-6,-8) Counterclockwise you get the point (6,-8)

Hope it helps

The new coordinates after rotation will be - P'(8, -6)

We have a Point on a X - Y plane as P(-6, -8) which is rotated by 90° counter clockwise about the origin.

We have to determine the image of this point after the rotation.

A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.

According to the question, we have -

A point with coordinates → P(-6, -8)

Any point (say A[x, y]) when rotated 90° counter clockwise about the origin, then its new coordinates become A'(-y, x).

Using this rule, the coordinates of the point after rotation of point by 90° counter clockwise about the origin will be → P'(8, -6)

Hence, the new coordinates will be - P'(8, -6)

To solve more questions on Rotation of points, visit the link below-

https://brainly.com/question/18099572

#SPJ2

Answer:

-5,2,9,16,23

Step-by-step explanation:

The answers are listed in the order of the boxes.

Answer:

3.75 minutes

Step-by-step explanation:

Set up an equation where x is the number of minutes:

0.25x + 35 = 0.5x + 20

Solve for x:

0.25x + 35 = 0.5x + 20

35 = 0.25x + 20

15 = 0.25x

3.75 = x

So, both plans will cost the same with 3.75 minutes

Answer:100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE TO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!

You measure the mass of an apple using a balance. You get these three measurements:

100

Answer: The answer is 8

Step-by-step explanation:

Answer:

x- intercept is -2

y-intercept is 3

Step-by-step explanation:

x - intercept is x = -2

y intercept is y = 3

This is dealing with x and y intercepts of straight line graphs.

In straight line graphs, the y - intercept is simply the point where the line touches the y - axis while the x-intercept is the point where the line touches the x-axis.

From the graph given, the line touches the y-axis at y = 3 while it touches the x-axis at x = - 2

Thus;

x - intercept is x = -2

y intercept is y = 3

Read more at; brainly.com/question/4853862

Answer:

208

Step-by-step explanation:

20 × 0 = 0

40 + 40 = 80

125 + 3 = 128

The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.

Given :

Expression - [tex]40+40-20\times 0+3+125[/tex]

The following steps can be used to evaluate the given expression:

Step 1 - Write down the expression.

[tex]=40+40-20\times 0+3+125[/tex]

Step 2 - First, multiply -20 by 0 in the given expression.

[tex]=40+40-0+3+125[/tex]

Step 3 - Now, Add 40 and 40 in the above expression.

= 80 + 3 + 125

Step 4 - Add 80 and 3 in the above expression.

= 83 + 125

Step 5 - Add 83 and 125 in the above expression.

= 208

For more information, refer to the link given below:

https://brainly.com/question/1957976