To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother sid he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this situation?


a

\large 6d+7.5c\le15


\large d+c\ge75


b

\large 6d+7.5c\le75


\large d+c\ge15


c

\large 6d+7.5c\ge75


\large d+c\le15


d

\large 6d+7.5c\ge15


\large d+c\le75

Answers

Answer 1

Answer:

d + c ≤ 15

6*d + 7.50*c≥ 75

Step-by-step explanation:

  Mathematical inequality is that proposition that relates two algebraic expressions whose values ​​are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.

In other words, an inequality is obtained by writing two numerical or algebraic expressions related to any of the symbols>, <, ≥ or ≤.

You know Tom's mom said that he can't work more than 15 hours to make sure he keeps up with his homework. That is, the number of hours walking the neighbor's dog added to the car wash should not exceed 15 hours, that is, it must be less than or equal to that amount. If d represents the number of hours walking your neighbor's dog and c represents the number of hours washing cars, then it is possible to represent this by the following inequality:

d + c ≤ 15 Inequality (A)

On the other hand, you know that Tom needs to earn at least $ 75 to cover the expenses of this weekend's prom. In other words, the money earned by walking dogs added to that earned by washing cars must be equal to or greater than $ 75. If Tom will walk his neighbor's dog for $ 6 an hour and wash cars for $ 7.50 an hour, then $ 6*d is the money earned walking dogs and $ 7.50*c is the money earned from washing cars. So this is represented by the inequality:

6*d + 7.50*c≥ 75 Inequality (B)

Then the system of inequalities that represents this situation is given by the Inequation (A) and the Inequation (B)


Related Questions

how to solve?
x(8-4x)÷3?​

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X(8-4x)/3
Answer: 8x-4x^2/3

5) Carmen bought a movie for $18.60. The next day the movie was selling
for $20.30. What was the percent of change?

Answers

The answer is 1.7 cause $20.30 - $18.60 equals 1.7

A population of 40 rats living near a restaurant dumpster is growing at a monthly rate of 50%
Write an equation for this scenario

Answers

[(40 ÷ .5) Y] + 40

Parentheses are rat growth

Brackets are rat growth by how many years or just exclude that and the brackets if you don't need to know how many years are there are

The 40 is the amount of rats already there

Growth of rats plus the amount already there.

I'm probably wrong lol

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(7, 9)
(–7, 9)
(9, 7)
(9, –7)

Answers

Answer:

c

Step-by-step explanation:

Using translation concepts, it is found that the point (0, 0) on the graph of f(x) corresponds to point (7, 9) on g(x).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

here, we have,

Considering the translations, the equivalent point is found as follows:

x -7 = 0 -> x =7.

y = 0 +9-> y = 9.

Hence the point (0, 0) on the graph of f(x) corresponds to point (7,9) on g(x).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ6

Which of the following is equivalent to the inequality shown below?

4x + 0.9 ≥ 0.1


4x + 9 ≥ 1
4x + 9 ≥ 1

40x + 9 ≥ 1
40x + 9 ≥ 1

40x + 90 ≥ 10
40x + 90 ≥ 10

40x + 90 ≥ 1

Answers

Answer:

[tex]4x + 0.9 \geq 0.1[/tex] is equivalent to the inequality [tex]40x+9 \geq 1[/tex]

Step-by-step explanation:

Given inequality : [tex]4x + 0.9 \geq 0.1[/tex]

We are supposed to find Which of the following is equivalent to the inequality

[tex]4x + 0.9 \geq 0.1[/tex]

[tex]\Rightarrow 4x+\frac{9}{10} \geq \frac{1}{10}[/tex]

Multiply both sides by 10

[tex]\Rightarrow 4(10)x+\frac{9}{10}(10) \geq \frac{1}{10}(10)[/tex]

[tex]\Rightarrow 40x+9 \geq 1[/tex]

[tex]4x + 0.9 \geq 0.1[/tex] is equivalent to the inequality [tex]40x+9 \geq 1[/tex]

So, Option B is true

B) [tex]40x+9 \geq 1[/tex]

Sadie spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -6.2°F. Between 9am and noon, the temperature increased by 2.6°F. Between noon and 3pm, the temperature dropped 18.6°F. Between 3pm and 6pm, the temperature dropped 6.5°F. What was the temperature at 6pm

Answers

Answer:

-28.7

Step-by-step explanation:

-6.2 + 2.6 = -3.6 - 18.6 = -22.2 - 6.5 = -28.7

Hopefully I did this right, reply if you have any corrections or questions!

Solve for c in the proportion.

Answers

Answer:

c = 3

Step-by-step explanation:

you have to multiply then divide

9 × 1 = 9

then divide...

9 ÷ 3 = c = 3

there you have it, folks

m BXA = 30° 20', m CXB = 40° 35'
m CXA
°
'

Answers

Answer:

Please make me brain list

Step-by-step explanation:

What is the area of 10 length and a 3.5 width

Answers

Answer:

35

Step-by-step explanation:

The formula for area is length x width, so we multiply 10 x 3.5, which equals 35.

Hope this helps :)

A librarian wants to spend no more than $800 on some new desks and chairs for the library. The librarian decides to spend $320 on desks. If each chair costs $24, what is the maximum number of chairs the librarian can buy for the library and stay within the budget?

Answers

Answer:

20 chairs

Step-by-step explanation:

Since we are given the amount total budget and the total amount for the desks then the only variable missing is the maximum amount of chairs. This can be solved with the following equation in which s represents the number of chairs, and we simply solve for s.

800 = 320 + 24s  ... subtract both sides by 300

500 = 24s ... divide both sides by 24

20.83 = s

Now we see that the maximum number of chairs that the librarian can buy is 20 because 21 would make her go over the budget and you cannot have 0.83 of a chair.

Answer:

The librarian can buy a maximum of 20 chairs to stay within the budget.

Step-by-step explanation:

The total budget is:

T = 800

From that budget, he spends 320 on desks (D), so he has the remaining amount to buy chairs (C):

[tex] C = 800 - 320 = 480 [/tex]

Since each chair costs 24, and he has 480 he can buy the following number of chairs:

[tex] n = \frac{C}{24} = \frac{480}{24} = 20 [/tex]

Therefore, the librarian can buy a maximum of 20 chairs to stay within the budget.

I hope it helps you!  

what is the slope of y-5 = 4 ( x+3)

Answers

Answer:

slope -5/4

Step-by-step explanation:

Use the diagram to find the value of a. The parallel lines are marked

Answers

Answer:

Where is the diagram

Step-by-step explanation:

Thank you for the extra points

What is X if f(x) = -15?

Answers

Answer:

it 4 dude im pretty sure

Step-by-step explanation:

What is 20 x 20 10 points it know

Answers

Answer:

400

Step-by-step explanation:

20*20 = 400

Answer:

20 x 20 is 400

Step-by-step explanation:

PLEASE HELP, DUE SOON!! What is the value of x?
(5x)
3x + 18)

Answers

Answer:

x=9

Step-by-step explanation:

5x=3x+18

subtract 3x

2x=18

x=9

Answer:

[tex]15^2+90x[/tex]

Step-by-step explanation:

What is the slope of the line passing through the points (2, −5) and (4, 1)?



3
​54​
​−45​
2

Answers

Answer:

3

Step-by-step explanation:

formula of trigonometric ratios​

Answers

Answer:

Basic Formulas

sin θ = Opposite Side/Hypotenuse.

cos θ = Adjacent Side/Hypotenuse.

tan θ = Opposite Side/Adjacent Side.

sec θ = Hypotenuse/Adjacent Side.

cosec θ = Hypotenuse/Opposite Side.

cot θ = Adjacent Side/Opposite side.

Hope this helps :)

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Formula for trignometric ratios.

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

The trignometric ratios are [tex]\downarrow[/tex][tex]\downarrow[/tex]

[tex]\begin{gathered}\begin{gathered}\begin{array}{||c|c|c||} \\ \rm sin \: A & \dfrac{\sf\:Opposite\: side\: of\: angle\: A }{\sf\:Hypotenuse \: } & \dfrac{\sf\:BC}{\sf\:AC} \\ \\ \rm cos \: A & \dfrac{ \sf\: Adjacent \:side \:of\: angle \:A }{\sf\: Hypotenuse} & \dfrac{\sf\: AB}{ \sf\: AC} \\ \\ \rm tan A & \dfrac{\sf\: Opposite \:side \:of \:angle\: A}{ \sf\: Adjacent \:side \:of \:angle \:A } & \dfrac{\sf\:BC}{ \sf\: AB}\\ \\ \rm cosec A & \dfrac{\sf\: Hypotenuse}{\sf\: Opposite\: side \:of\: angle\: A}& \dfrac{\sf\:AC}{ \sf\:BC } \\ \\ \rm sec A & \dfrac{\sf\: Hypotenuse}{ \sf\: Adjacent \:side\: of\: angle \:A}& \dfrac{\sf\:AC}{\sf\:AB}\\ \\ \rm cot A & \dfrac{\sf\: Adjacent \:side\: of \:angle \:A}{\sf\: Opposite\: side \:of\: angle\: A} & \dfrac{\sf\:AB}{ \sf\: BC} \end{array}\end{gathered}\end{gathered} \\ \\ - \bf \: Lucazz \: (brainly.com)[/tex]

~~~

Refer to the picture for better understanding.

which rational number is between -7.06 and -7.1?

Answers

Answer:

-7.07.

Step-by-step explanation:

because it's between those numbers

what is (0.6)(-2.5)?

Answers

Answer:

The correct answer is

-1.5

Suppose the cost of producing tires, t, is defined by C(t) = -0.45+2 + 12+ 450. Determine
which of the following intervals has the greatest average rate of change for the cost to
produce tires.
A
Between 2 and 4 tires
B
Between 46 and 48 tires
C
Between 12 and 14 tires
D
Between 22 and 24 tires

Answers

Answer:

Option (A)

Step-by-step explanation:

Function to represent the cost of producing 't' tires is,

C(t) = -0.45t² + 12t + 450

Since average rate of change of the function in the interval (a, b) is given by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Following this rule,

Average rate of change in the interval (2, 4)

= [tex]\frac{C(4)-C(2)}{4-2}[/tex]

= [tex]\frac{490.8-472.2}{4-2}[/tex]

= 9.3

Average rate of change in the interval (46, 48)

= [tex]\frac{-10.8-49.8}{2}[/tex]

= -30.3

Average rate of change in the interval (12, 14)

= [tex]\frac{529.8-529.2}{2}[/tex]

= 0.3

Average rate of change in the interval (22, 24)

= [tex]\frac{478.8-496.2}{24-22}[/tex]

= --8.7

Average rate of change is greatest in the interval (2, 4)

Option (A) will be the answer.

Answer:

Average rate of change is greatest in the interval (46. 48)

Step-by-step explanation:

Average rate of change in the interval (2, 4)

= 9.3

Average rate of change in the interval (46, 48)

= -30.3

Average rate of change in the interval (12, 14)

= 0.3

Average rate of change in the interval (22, 24)

= --8.7

I did the algebra CFU and I got it correct so trust me ;)

Members of Beta Club are selling candy bars to raise money. The club sponsor uses the following equation to calculate the amount of profit, "p" made from selling "n" candy bars. p = 2.50n - 200. How many candy bars must be sold to make a profit of 1500?

Answers

Answer:

680 candy bars must be sold

Step-by-step explanation:

2.5 times 680 equals 1700 that minus 200 is 1500.

Solve 9.1r - 4. lr - 14= -34

Answers

Answer:

Step-by-step explanations:

How do I find the missing side with the Pythagorean theorem?

Answers

Answer:

The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.

Step-by-step explanation:

Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space

Answers

Answer:

39

Step-by-step explanation:

3) Amani spent half of her weekly allowance on the movies. She made an extra 30 dollars
babysitting. At the end of the week, Amani had a total of 45 dollars left. How much is
Amani's weekly allowance?

Answers

Answer:

23

Step-by-step explanation:

answer: the is 23.

Elsa is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 43 feet and its width is 36 feet. Suppose each can of wood stain covers 172 square feet. How many cans will she need to cover the court?

Answers

To find the area multiply length times width.
43 times 36 is 1548
Take 1548 divide by 172 to get the answer.
1548/172 equals 9

Answer:

Step-by-step explanation:

find the area which is length divided by width then divide by 172 which is what each can covers. So, 43x36 =1548 and 1548/172 equals 9. So 9 is the answer

Which number line shows the graph of 0.3

Answers

Answer:

im dumb im sorry but u can look it up

Step-by-step explanation:

WHOEVER GETS IT RIGHT FIRST WILL BE CHOSEN THE BRAINLIEST!!

Answers

The correct answer is x=12

Answer:

C x=12

Step-by-step explanation:

x - 17 = -5        add seventeen to both sides

x = 12

EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT

Answers

Answer:

2. x=25°

3. x=15°

4. x=26°

Step-by-step explanation:

For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.

30+20+x=180                  [combine like terms]

50+x=180                         [subtract both sides by 50]

x=130

Now that we have the missing angle, we can use that to solve for x.

2x+130=180                     [subtract both sides by 130]

2x=50                               [divide both sides by 2]

x=25°

Now, we know that x=25°.

For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

8x+25+2x+5=180            [combine like terms]

10x+30=180                     [subtract both sides by 30]

10x=150                            [divide both sides by 10]

x=15°

Now, we know that x=15°.

For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

x+12+52+90=180             [combine like terms]

x+154=180                        [subtract both sides by 154]

x=26°

Now, we know that x=26°.

Answer:

3. x = 5        4. x = 26

Step-by-step explanation:

3.

(2x + 5)  + 8x + 25 = 180

10x +30 = 180

10x = 150

x = 15

4.

52 + 90 + x+12 = 180

52 + 90 + 12 = 142

x + 142 = 180

x = 180 - 154

x = 26

A number increased by 14?

Answers

Answer:

need the options

Step-by-step explanation:

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