Derrick's Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting. Pauline's Pooch Park charges $3 per hour plus an $18 registration fee. Which inequality can be used to find the number of hours, h, for which the cost of Derrick's Doggie Day Care is at most the cost of Pauline's Pooch Park? 12+5h≥3h+18 12 plus 5 h is greater than or equal to 3 h plus 18 5h+12>18+3h 5 h plus 12 is greater than 18 plus 3 h 12+5h<3h+18 12+5h<3h+18 12+5h≤18+3h 12 plus 5 h is less than or equal to 18 plus 3 h

Answers

Answer 1

Answer:

[tex]12 + 5h \leq 18 + 3h[/tex]

Step-by-step explanation:

Given

Represent Derrick's with D and Pauline's with P

For D

Registration Fee = $12

Hourly Charges = $5

For P

Registration Fee = $18

Hourly Charges = $3

Required

Represent as an inequality such that D is at most of P

First, we need to represent both as an expression:

For D

[tex]D: 12 + 5h[/tex]

For P:

[tex]P:18 + 3h[/tex]

Since D is at most of P;

This implies that:

[tex]D \leq P[/tex]

So, we have:

[tex]12 + 5h \leq 18 + 3h[/tex]


Related Questions

In a board game a certain number of points is awarded to a player upon rolling a six sided die labeled 1 to 6 according to the function f(x)=2x+3 whereby is it he value rolled on the die fund and interpret the given functions values and determine an appropriate domain for the functions

Answers

Answer:

f(x) is the amount awarded to a player upon rolling the die

The domain of the function = 1, 2, 3, 4, 5, and 6

The values of the function are 5, 7, 9, 11, 13, and 15

Step-by-step explanation:

The given information includes;

The function f(x) = 2·x + 3

Given that f(x) is the amount awarded to a player upon rolling the die, and x = The value rolled on the die, we have;

The values of x are 1, 2, 3, 4, 5, and 6

The values of the function then becomes;

f(x) = 2·x + 3

{x = 1, 2, 3, 4, 5, and 6} {f(x) = 5, 7, 9, 11, 13, and 15}

Therefore, the domain of the function = 1, 2, 3, 4, 5, and 6

The values of the function are 5, 7, 9, 11, 13, and 15.

Provide two numbers whose SUM is -18

Answers

Answer:

-27 + 9 provides the answer -18

Answer:

-31+13=18

          that should also get you that answer                                                                                                                                                                              

what is the slope-intercept equation of the line below?​

Answers

Answer:

it’s either 3 or 1/3

Step-by-step explanation:

ayo helppp ill give u anthing

Answers

Answer:

16.9 m

Step-by-step explanation:

Start with a half a circle. The central angle of a semicircle is 180 deg.

Now subtract 21 deg on each side.

180 - 21 - 21 = 138

The central angle is 138 deg.

The radius is 7 m.

Now we use the formula for the length of an arc of a circle given the radius of the circle and the central angle of the arc.

[tex] s = \dfrac{n}{360^\circ}2 \pi r [/tex]

[tex] s = \dfrac{138^\circ}{360^\circ}2(3.14159)(7~m) [/tex]

[tex] s = 16.9~m [/tex]

Answer:

booooooooooooooooooooooooooooooo

Step-by-step explanation:

Solve the linear equation - 7(x + 2) = -3(x - 5) for x

Answers

x= −29/4

Answer:

Step-by-step explanation:

−7(x+2)=−3(x−5)

Step 1: Simplify both sides of the equation.

−7(x+2)=−3(x−5)

(−7)(x)+(−7)(2)=(−3)(x)+(−3)(−5)(Distribute)

−7x+−14=−3x+15

−7x−14=−3x+15

Step 2: Add 3x to both sides.

−7x−14+3x=−3x+15+3x

−4x−14=15

Step 3: Add 14 to both sides.

−4x−14+14=15+14

−4x=29

Step 4: Divide both sides by -4.

−4x −4

x=29/−4

x= −29/4

Help pleasee , thank you so much in advance

Answers

Pretty sure the answer would be 32. It’s basic subtraction I think.
I believe that it is 32 because if you subtract the 78-46=32

Drag and drop the answers to the boxes to correctly complete the proof.

Given: DEFG is a parallelogram.



Parallelogram D E F G with diagonal D F. Angle G D F is labeled 1, angle F D E is labeled 2, angle E F D is labeled 3, and angle D F G is labeled 4.
Prove: DE¯¯¯¯¯≅GF¯¯¯¯¯ and DG¯¯¯¯¯¯≅EF¯¯¯¯¯ .

Opposite sides of a parallelogram are parallel, so Response area because they are alternate interior angles. By the reflexive property of congruence, DF¯¯¯¯¯≅DF¯¯¯¯¯ . Therefore, △DGF≅△FED by the Response area . That means DE¯¯¯¯¯≅GF¯¯¯¯¯ and DG¯¯¯¯¯¯≅EF¯¯¯¯¯ by Response area.

Answers

Answer:

[tex]\overline{DE} \cong \overline{GF}[/tex] and [tex]\overline{DG} \cong \overline{EF}[/tex] by CPCTC

Step-by-step explanation:

The given information are;

The shape of the given polygon DEFG = Parallelogram with diagonal DF

Therefore, we have;

Response area

[tex]\overline{DE} \left | \right | \overline{GF}[/tex] and  [tex]\overline{DG} \left | \right | \overline{EF}[/tex] (Opposite sides of a parallelogram are parallel)

∠GFD ≅ ∠EFD (Alternate interior angles)

∠DFG ≅ ∠FDE (Alternate interior angles)

[tex]\overline{DF} \cong \overline{DF}[/tex] (By the reflexive property of congruence)

Therefore

ΔDGF ≅ ΔFED (Angle-Side-Angle (ASA) condition of congruency)

Which gives;

[tex]\overline{DE} \cong \overline{GF}[/tex] and [tex]\overline{DG} \cong \overline{EF}[/tex] (Congruent Parts of Congruent Triangles are Congruent (CPCTC).

I need help asap WiLl mark you brainlist

Answers

The answer would be 10^-3

It’s about functions please help and show work.

Answers

Answer:

f(-6) = -2

Step-by-step explanation:

plug in k value (-6)

f(-6) = -6/2 + 1

theres two ways to solve for this

one way:

convert the whole number 1 to an improper fraction

f(-6) = -6/2 + 2/2

combine like terms

f(-6) = -4/2

divide -4 by 2

f(-6) = -2

second way:

divide -6 by 2

f(-6) = -3 + 1

combine like terms

f(-6) = -2

either way you get the same answer

use whichever is easiest for you

Shen will run at least 23 miles this week. So far, he has run 15 miles. What are the possible numbers of additional miles he will run?
Use for the number of additional miles he will run.
Write your answer as an inequality solved for

Answers

Answer:

15+x=23

Step-by-step explanation:

The sum of three numbers is 19. Two times the first number increased by six times the second number plus the third number is 12. The sum of three
times the first number and eight times the second number, increased by the third number is -14. If the first number is represented by x, the second
number is represented by y, and the third number is repre d by z, which of the systems of equations below can be used to determine the three
numbers?
Please help due tonight!!

Answers

Answer:

Step-by-step explanation:

 x+    y+z=19   ...(1)

2x+6y+z=12   ...(2)

3x+8y+z=-14    ...(3)

(2)-(1) gives

x+5y =-7   ...(4)

(3)-(1)  gives

2x+7y= -33   ...(5)

multiply (4) by 2

2x+10y=-14   ...(6)

(6)-(5) gives

3y=19

y=19/3

x+95/3=-7

x=7+95/3=(21+95)/3=116/3

from (1)

116/3+19/3+z=19

(116+19)/3+z=19

135/3+z=19

45+z=19

z=19-45=-26

A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=3x+5

Step-by-step explanation:

Slope-intercept form: y=mx+b

m=slope=3

b=y-intercept=5

HELP PLZZZZZ BRAILIEST HELP!!!!!!!!!!!!!!!!!!!!!!!!!!! IM GETTING TIMED

Answers

Answer:

4 minutes and then 0.25 or 1/4

Step-by-step explanation:

The graph represents the average soccer goals scored for
players of different ages. Determine the domain and range
of the relation in context and explain whether or not this
represents a function.

Answers

Answer: domain values : 2, 6, 10, 14 and 18 .

the domain is the player’s age.

the range values are : 2, 3, 4, and 5.

the range is the average goals.

the relation is not a function. the ages 6 and 10 are both paired with two different range values.

Step-by-step explanation:

got it right .

help plz will give brainlyest

Answers

since they are asking for the slope you are using RISE OVER RUN which means the slope is 2.

Answer:

the slope is 2

Step-by-step explanation:

Can you please help me with this math equation?

Answers

Answer:

y=-2/3x-1

Step-by-step explanation:

( -3 , -1 ) -1 is the y intercept

Answer:

D.

Step-by-step explanation:

Hope this helps

Emily created the net worth statement shown.


Net Worth Statement
Assets
Checking account $750
Automobile (current value) $8,950
House (current value) $92,500
Savings account $1,350
Investments $4,000
Total Assets $107,550

Liabilities
Credit card debt $3,800
Student loans $15,750
Personal loans $975
Total Liabilities $20,525

Based on the information in the table, what is Emily’s net worth?

A.$107,550

B.$87,025

C.$20,525

D.$128,075

Answers

Answer:

D hopefully this have helped you !

Step-by-step explanation:

The solution is Option B.

The total net-worth of Emily is given by the equation A = $ 87,025

What is Net Worth?

An individual's net worth is the difference between their assets (both long-term and short-term) and their liabilities (long-term and short-term).

The net worth of a company is equivalent to its equity, which refers to the net assets owned by the stockholders after paying off all debts.

So , Net Worth = Assets - Liabilities

Given data ,

Let the net worth of Emily be represented as A

Now , the equation will be

The assets of Emily are = Checking account $750 + Automobile (current value) $8,950 + House (current value) $92,500 + Savings account $1,350 + Investments $4,000

The total assets of Emily = $107,550

And , the liabilities of Emily are = Credit card debt $3,800 + Student loans $15,750 + Personal loans $975 + Total Liabilities $20,525

Now , the total liabilities of Emily = $20,525

So , the net worth = Assets - Liabilities

Substituting the values in the equation , we get

Net worth of Emily A = $107,550 - $20,525

On simplifying the equation , we get

Net worth of Emily A = $ 87,025

Hence , the net worth of Emily is $ 87,025

To learn more about net worth click :

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EQUATION
Create and solve an equation that fits
all of the criteria below:
• has variables on both sides
• uses the Distributive Property on
one side
• uses at least two negative signs
• has a solution of "NO SOLUTION"

Answers

Answer:

2(-1*x)-1=2(-1*x)-1+2(-1)

Step-by-step explanation:

-2+2x-1=-2+2x-1+-2

-3+2x=-3+2x-2

-3+2x=-5+2x

2x=-8+2x

0=-8

I probably messed up somewhere

Micah is 4 more than twice Angela’s age. The sum of their ages is 40. Set up the problem, Write an equation, Solve the equation, Determine how old Micah and Angela are.

Answers

Answer:

Angela is 12 and Micah is 28.

Step-by-step explanation:

So, the problem tells us that Micah is four more than twice Angel's age, and the sum of both their ages is 40. So, if we use a to stand for Angela's age and m to stand for Micah's age, we can safely assume our equation will look like this:

(a × 2) + 4 = m. And once that is figured out, we use a + m = 40.

For right now, we can start just randomly entering in numbers for a. Let's try 10, for example.

(10 × 2) + 4 = 24.

But does 10 + 24 = 40? No, it equals 34. So we go higher.

(12 × 2) + 4 = 28.

Does 12 + 28 = 40? Yes, yes it does.

So we can say with all certainty that Micah is 28 years old, and Angela is 12.

A fisherman caught 10 fish in one month. Their weights, in pounds, are shown below.

8, 12, 16, 17, 22, 24, 29, 38, 45, 74

Which box plot best summarizes the data?

Answers

Answer:  A.

Step-by-step explanation:

is 0.9 greater,least than, or equal to 95%​

Answers

Answer:

Less

Step-by-step explanation:

Answer:

if 1 represents 100% then it would be less than

Step-by-step explanation:

that would make the .90 90% and thus less than 95%

For f(x) = 3x^2 – X+5, 2f (-3) - f(4)=

Answers

Answer:

3x^2-x+5.2f\left(-3\right)-f\left(4\right) =

3x^2-x-19.6f

Step-by-step explanation:

3x^2-x+5.2f\left(-3\right)-f\left(4\right)

=3x^2-x-5.2f\cdot \:3-f\cdot \:4

=3x^2-x-15.6f-4f

=3x^2-x-19.6f

The required value of the given expression is 1.

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given function is as below,

f(x) = 3x² - x + 5

The value of the function at x = -3 and 4 can be found by substituting the respective values of x  in the expression of f(x) as follows,

f(-3) =  3 × (-3)² - (-3) + 5

      = 25

And, f(4) = 3 × (4)² - 4 + 5

              = 49

Then,  2f(-3) - f(4) = 2 × 25 - 49

                            = 1

Hence, the given expression can be evaluated as  2f(-3) - f(4) = 1.

To know more about algebraic expression click on,

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Solve the inequality. 12(1/2 x -1/3)>8-2x

Answers

Answer:

3/2 , and that infinity symbol

I cant get the symbol on here :/

what graph passes the vertical line test?

Answers

Answer:

The fourth image, or D.

Why?

If you had a ruler and placed it on the grid vertically and moved the ruler left to right, pictures A, B, and C, all have two points that lay on the same X point.

Picture D is the only one that has no points that lay on the same X point, thus making it the right answer.

Thank you for reading into this.

(Hope this helps you! ^^)

The last graph (shown below) passes the vertical line test

The vertical line test is used to ascertain whether or not a graph represent a function.

Vertical lines are drawn across the graph. If the vertical line intersects more than one point on the graph, then the graph does not represent a function.

If a vertical lines are drawn across all the graphs shown, only the last graph indicated below will pass the vertical line test.

Therefore, the graph shown below represents a function because it obeys the vertical line test

Learn more here: https://brainly.com/question/1729998

Determine the range of the following graph!

Answers

Answer:

[-11,11)

Step-by-step

the closed bracket is the dot, and the open dot is the round bracket.

the line on it goes down.

I hope it helps

f(x)=2x+3
what is the value of f(-4)

Answers

Answer:

f(-4) = -5

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 3

f(-4) is x = -4

Step 2: Substitute and Evaluate

f(-4) = 2(-4) + 3

f(-4) = -8 + 3

f(-4) = -5

Answer:f(-4) = -5

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 3

f(-4) is x = -4

Step 2: Substitute and Evaluate

f(-4) = 2(-4) + 3

f(-4) = -8 + 3

f(-4) = -5

At football practice, Ty made 24 field goals, which was 80% of the field
goals he attempted. How many field goals did he attempt?

Answers

Answer:

30 field goals

Step-by-step explanation:

80 is 4/5 of 100. To find what to multiply 5 by, I will divide 24/4, since it is 4/5. 24/4 is 6, and 6*5 is 30. So, the answer is 30. To check, I know that 24 has four sixes within it, and 30 has five sixes within it. 4/5=4/5.

What number is 120% of 60?
20 2 72 7.2


(12 points if answered in an hour so at 12 est)

Answers

72 because 120% x 60 = 72 or 60 ÷ 100 x 120 = 72


A sports-equipment researcher was interested in the relationship between the speed of a golf club (in feet per second)
and the distance a golf ball travels (in yards). Information was collected on several golfers and was used to obtain the
regression equation 9 = 2x - 106, where x represents the club speed and y is the predicted distance. What is the
predicted distance of a ball that is hit with a club speed of 168 ft/sec?
O 106 yards
137 yards
230 yards
336 yards

Answers

336 yards to be exact

Answer:

230 yards

Step-by-step explanation:

Plug in 168 for x in calculator

I think this is right not entirely sure

HELP PLEASE

Simplify the expression where possible. (-5x 2) 3

Answers

Answer:

(-5x2)•3=

-15x^2

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