Mason is working two summer jobs, making $20 per hour lifeguarding and making $10 per hour landscaping. In a given week, he can work no more than 13 total hours and must earn at least $170. If xx represents the number of hours lifeguarding and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

[tex]x = 4\\y = 9[/tex] hours

Step-by-step explanation:

Given -

x represents the number of hours lifeguarding and y represents the number of hours landscaping

[tex]x+ y = 13[/tex] -----Eq ( 1 )

and

[tex]20 * x + 10 * y = 170[/tex] -----Eq ( 2 )

Substituting the value of [tex]x = 13-y[/tex] in equation 2, we get -

[tex]20* (13 - y) + 10 y = 170[/tex]

[tex]260 - 20 y + 10 y = 170\\10y = 90\\y = 9[/tex]

[tex]x = 13-9 = 4[/tex]


Related Questions

find the value of s in rectangle

Answers

Answer:

s + 1 = 2s

s = 1

Corrine earned $67.25 waiting tables, plus another $45.45 in tips. How much did she earn altogether?

Answers

Answer:

$112.70

Step-by-step explanation:

$67.25 + $45.45 = $112.70

Three times a number plus nine is five

Answers

The answer -1.3 repeated yuuuuuh

*WRITE EACH PHRASE AS AN ALGEBRAIC EXPRESSION: CAN yall Please help

1. P multiplied by 4
2. A take away 16
3. 3 groups of 7
4. the sum of 1 and Q

Answers

Answer:

1. 4P

2. A - 16

3. 3 * 7

4. 1 + Q

Select the equivalent expression that shows the fewest possible terms.

Answers

Answer:

Step-by-step explanation:

7a-10c-2a-0.5c+5

5a-10.5c+5

it is your first choice

The first one

7a - 10c - 2a - 1/2c + 5
7a -2a - 10c - 1/2c + 5
5a -10.5c + 5

Mia buys 4 ¼ pounds of plums. Her total cost after using a coupon for 55 cents off her entire purchase was $3.23. Write an equation to represent this situation.

Try to answer these

What is the total?

What will make the total - in words (be precise)

Write the words out as an equation

What don’t you know?

Write the algebraic equation.

Answers

Answer: I tried to help but i just got confused

Sorrry I didnt know the answer

The hanger shown in the diagram is balanced. Both cherries weigh the same, both mushrooms
weigh the same, both carrots weigh the same, and all three strawberries weigh the same.
How many grams does the exotic fruit weigh if the total weight of all ten items is 84 grams?

Answers

Answer:

The mass of the exotic fruit is 20 grams.

Step-by-step explanation:

For the system to be in equilibrium,

i. the resultant of all masses must be zero

ii. the total mass on the left of the hanger must be equal to that on the right

Thus,

84 g = 42 g + 42 g

mass of each carrot = 12 g

mass of each mushroom = 10 g

mass of each cherry = 2.5 g

mass of each strawberry = 5 g

So that;

On the left of the hanger,

(2 x 5) + (2 x 10) + 12 = 42

10 + 20 + 12 = 42

42 = 42

On the right of the hanger, let the mass of exotic fruit be represented by x.

x + 12 + 5 + (2 x 2.5) = 42

x + 12 + 5 + 5 = 42

x + 22 = 42

x = 20 g

The mass of the exotic fruit is 20 grams.

Is this table linear or not?

Answers

Yes it’s a straight line wh no curves

Glados drew a triangle with the base of 9.6 centimeters. It's area was 30.72 square centimeters. What was it's height (nearest tenth)​

Answers

Answer:

the answer is 98.3cmsquared

(1 + )1⁄3 + (1 − )1⁄3 = 21⁄3

Answers

Ok what are you confused on

2. Mang Danny bought a cellphone worth Php 7500 and he's selling it for Php 9000. How much is the markup?

3. If the price of an item is 80 pesos and its markup rate is 30%, how much is the markup?

Answers

Answer:

php 1500

24 pesos

Step-by-step explanation:

Purchase price = 7500

Amount sold = 9000

The markup will be :

Amount sold - purchase price

9000 - 7500

= php 1500

2.)

Price = 80 pesos

Markup rate % = 30

The Markup = 30% * 80

Markup = 0.3 * 80

Markup = 24 pesos

Plz help due tomorrow iff correct ill give brailiest

Answers

Part A is D.
To work out part B, use the formula from part D to find S.

If you need further help let me know. Hope this helps!!

Write 2 1/6 as an improper fraction

Answers

Answer:

13/6

Step-by-step explanation:

X-5(x-1)=2x-(2x-3) answer the question

Answers

Answer: x= 1/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x−5(x−1)=2x−(2x−3)

x−5(x−1)=2x+−1(2x−3)(Distribute the Negative Sign)

x−5(x−1)=2x+−1(2x)+(−1)(−3)

x−5(x−1)=2x+−2x+3

x+(−5)(x)+(−5)(−1)=2x+−2x+3(Distribute)

x+−5x+5=2x+−2x+3

(x+−5x)+(5)=(2x+−2x)+(3)(Combine Like Terms)

−4x+5=3

−4x+5=3

Step 2: Subtract 5 from both sides.

−4x+5−5=3−5

−4x=−2

Step 3: Divide both sides by -4.

−4x /−4 = −2 /−4

x = 1/2

Answer : x = 1/2

Hopes this help .

Plz plz plz, HELP!!!! I will give u brainlylist

Answers

the answer is 400 i think but i’m not sure
Hello can I see the choose answer plz because if you want me to give you the answer I need to see what options I can choose and so I can know if my work is correct...Thank you

John was having a party he knows his bowl can hold 2/3 of a bag of Doritos.if he has 4 bags or Doritos how many bowls does he need

Answers

Step-by-step explanation:

2•4 =8

8/3 =2 2/3

answer : 3

pleaseeee help please​

Answers

Answer: It will be 60m^2

Identify the parent function that can be used to graph the function f(x)=2[x-6]

Answers

Answer:

F(x) =2(1/2 x2-6x) +C

Step-by-step explanation:

Hope it helps

Answer: the correct answer is B. f(x)=[x]

Step-by-step explanation:

1. The parent function of a Function part full is shown below:

f(x)=[x] (This is the simplest form) Because from this function we can make transformations that allow us to obtain the function f(x) =2[x-6]

2. If you take the parent function and make y=f(x-6), then you have:

f(x-6)=[x-6] (The function is shifted 6 units on the positive x-axis)

3. Then you if you make y = 2f(x-6), as following, you obtain:

y = 2f(x-6)=2[x-6] (The function It expands vertically in the y-axis).

4. That is how you obtain the final function.

Jim has 1/3 of a cup of milk he adds 2/3 to it. How much milk does the cup have know.

Answers

Answer:

3/3 (1)

Step-by-step explanation:

1/3 plus 2/3 is 3/3.

Since the denominators are the same, you just keep the number the same and add the numerators (top numbers)

Erin loves to cook with fresh herbs. So, she decides to plant 8 different herbs and keep the
small pots on her kitchen windowsill. She starts with a 2-kilogram bag of soil and puts the
same amount of soil in each pot. If she uses all of the soil, how many grams does she add to
each pot?

Answers

This is a simple division problem, there are 1000 grams in 1 kilogram, so we do 2000/8, which is 250, so Erin put 250 grams of soil in each pot.

what number multiplied by 0.5, Multiplied by 1/3, square the number, add one, equals 50?​

Answers

Answer:

42

Step-by-step explanation:

Let that number be x

x is multiplied by 0.5, 1/3, then squared

(0.5/3 x)^2

Add 1: (0.5/3 x)^2 +1

Make it equal to 50

: (0.5/3 x)^2 +1 = 50 now solve

(0.5/3 x)^2 =50-1

(0.5/3 x)^2 =49

square root both sides ending up with:

0.5/3 x=7

solve for x

x=42

GOOD LUCK AND HOPE IT HELPS:))

Find the value of y if the mean is 22 and 18 ( 2y+1), 10 and 20 is 15

Answers

Answer:

2

Step-by-step explanation:

Mean = sum of data/sample size

Sum of data = 22 + 18 + 2y+1 + 10 + 20

Sample size = 5

Mean = 15

Substitute

15 = 22 + 18 + 2y+1 + 10 + 20/5

15*5 = 22 + 18 + 2y+1 + 10 + 20

75 = 70+2y+1

2y = 75-71

2y = 4

y = 4/2

y = 2

Hence the value of y is 2

what do you understand by resultant of a force​

Answers

Answer:

When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.

Step-by-step explanation:

In figure 5, what are the values of x and y?
(4x - 12)
(7y+12)°
(12x+8)°​

Answers

Answer:

sorry

Step-by-step explanation:

Where is the figure?

The volume of a right rectangular prism can be found by using the product 9(4)(1.1). Which expression could also be used to determine the volume of this prism?
O 11(9)(4)
O 9(4) + 1
0 32(11)
O 9 + 4 + 11

plss help fast ​

Answers

Answer:The answer is A)11(9)(4)

Step-by-step explanation:

If you have 9(4)(11) then is would be the one that look just like it but the number are moved like 11(9)(4)

Answer:

The Answer is 11 (9 + 4)

Re-order the premises in each of the arguments to show that the conclusion follows as a valid consequence from the premises. It may be helpful to rewrite the statements in if-then form and replace some statements by their contrapositives. Exercises are adapted from Symbolic Logic by Lewis Carroll.
1. When I work a logic example without grumbling, you may be sure it is one I understand.
2. The arguments in these examples are not arranged in regular order like the ones I am used to.
3. No easy examples make my head ache.
4. I cant understand examples if the arguments are not arranged in regular order like the ones I am used to.
5. I never grumble at an example unless it gives me a headache. These examples are not easy.

Answers

Answer:

Step-by-step explanation:

1. If I do not grumble while doing the logic exam, then it is because I understand the questions.

2. If the arguments are not arranged in regular order, then I will not be used to these examples.

3. If my headaches, then it is probably because it is not an easy example.

4.  If the arguments are not arranged in regular order like I am used to, then I will not be able to understand them.

5. If the example is not easy and I am grumbling, then it is because it is giving me a headache.

Given right triangle JKL, what is the value of cos(L)?
1. 5/13
2. 5/12
3. 12/13
4. 12/5

Answers

Answer:

A 5/13

Step-by-step explanation:

Just took the test

The value of Cos L in the given right triangle JKL, is 5/13

What is a Cosine of the angle?

The cosine of an angle is defined as the sine of the complementary angle.

The complementary angle equals the given angle subtracted from a right angle, 90°.

Also, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H).

Given is a right triangle JKL, we need to find the value of cos(L),

Since, the cosine of an angle is the ratio of the base and hypotenuse,

So, firstly of we will find the value of the hypotenuse,

Using the Pythagoras theorem,

12²+5² = hypotenuse²

hypotenuse = √(12²+5²)

hypotenuse = √169

hypotenuse = 13

Therefore, Cos L = 5/13

Hence, the value of Cos L in the given right triangle JKL, is 5/13

Learn more about cosine of the angles, click;

https://brainly.com/question/29114352

#SPJ7

Find the highest common factor (HCF) of 90 and 126

Answers

Answer:

18

Step-by-step explanation:

18*5=90

18*7=126

The greatest common factor(GCF) for 90 and 126 is 18

10 cm
a
6 cm
What is the length of the missing leg?
a =
centimeters

Answers

Answer:

10×6

= 60

Step-by-step explanation:

maaf kalau salah

Alex and 4 friends are playing baseball on the same team. Each time they play a game, they switch the batting order to a sequence that has not yet been used. What is the maximum number of games they can play before they have to repeat a batting order they have already used?

Answers

Answer:

120.

Step-by-step explanation:

Since Alex and 4 friends are playing baseball on the same team, and each time they play a game, they switch the batting order to a sequence that has not yet been used, to determine what is the maximum number of games they can play before they have to repeat a batting order they have already used, the following calculation must be performed:

1 x 2 x 3 x 4 x 5 = X

2 x 3 x 4 x 5 = X

6 x 4 x 5 = X

24 x 5 = X

120 = X

Thus, the maximum number of games they can play before they have to repeat a batting order they have already used is 120.

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