Mathematics High School

Logan is working two summer jobs, making $18 per hour tutoring and making $10 per hour clearing tables. In a given week, he can work a maximum of 13 total hours and must earn at least $170. If xx represents the number of hours tutoring and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer: he could work 7 hours tutoring and 6 hours clearing tables

Step-by-step explanation:

Answer 2

The system of inequalities can be used to find the number of hours Logan

can spend on each job in a week.

Response:

The system of inequalities are;

x + y ≤ 1318·x + 10·y ≥ 170

A possible solution of the system of inequality obtained from the graph is the point (5, 8)

x = 5, and y = 8Methods used to solve the inequality graphically

The amount Logan makes per hour tutoring = $18 per hour

The amount he makes clearing tables = $10 per hour

Number of hours Logan can work in a week = 13

Amount he must earn in a week = At least $170

Number of hours he spends tutoring = x

Number of hours he spends clearing tables = y

Based on the given information, we have;

x + y ≤ 1318·x + 10·y ≥ 170

Please find attached the graph of the above inequality showing the feasible region.

A possible solution obtained from the feasible region is the point of intersection of the two inequalities which is the point (5, 8), which gives;

A possible solution is x = 5, y = 8

Therefore, Logan can spend 5 hours tutoring and 8 hours clearing tables in a week to work for 13 hours and make $170.

Learn more about inequalities here:

https://brainly.com/question/8284035

Logan Is Working Two Summer Jobs, Making $18 Per Hour Tutoring And Making $10 Per Hour Clearing Tables.

Related Questions

Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms.

7, 3, −1, −5, ...

Answers

Arithmetic = going up or down the same units: going down by -4; true
Common difference = how much it is going up: -4

Solution: yes it’s arithmetic. The common difference is -4. The next three terms is -9, -13, -17

Do Anybody know this ?

Answers

Answer:

R= 30-9t.... I think

Step-by-step explanation:

What is the solution set to this inequality??
x^2-12x+35<_ 3

Answers

-8,-6,-4

-10,-6,0

these are the possible test points for your three intervals

Answer:

4≤x≤8

Step-by-step explanation:

Help!!! Which graph represents the system of inequalities

Answers

Answer:

Step-by-step explanation:

This can be seen becuase if y is greater it will be shaded above the line. If y is less than then it will be shaded under the liner.

Answer:

Step-by-step explanation:

Your parents took your family out to dinner Your parents wanted to give the waiter a 20% tip. If the total amount of the dinner was $42.00, What is the total price of your dinner, including the tip?

Answers

Answer:

50.4

Step-by-step explanation:

42 * 0.02 = 8.4

42 + 8.4 = 50.4

CAN SOMEONE HELP ME WITH THIS IXL ITS P.7 EIGHTH GRADE!!!!

Answers

it’s basically tell you to bring it down by 10 so it’s (5,-6)

Please help 10 pts!!

Answers

Answer: Any positive number less than 16

The diagram shows AD = 16. Applying a dilation with positive scale factor less than 1, will make the figure shrink. Segment AD becomes smaller, so the new AD will be some length less than 16.

For instance, if you use a scale factor 1/2 = 0.5, then AD = 16 turns into A'D' = 16*0.5 = 8

describe this graph below in 2-4 sentences.

Answers

Answer:

Step-by-step explanation:

Polynomial with a degree of 3 (due to 3 intersection points). Since the end of the graph is approaching positive infinity, we also know the equation of this graph has a positive coefficient.

(I don't know if you're in calculus yet, but...) We also know that there is a local min and local max, as well as inflection points as the graph changes concavity.

This is an example of a polynomial funciton because the graph of a polynomial function is a smooth continuous curve. Also, I had to graph a polynomial function in one of my past assignments, so I know its appearance.

The following temperatures were recorded in Pasadena for a week in April: 87, 85, 80, 78, 83, 86, 90. Determine the interquartile range. Type a numerical answer in the space provided.

Answers

Answer:

Step-by-step explanation:

87 - 80 = 7

can someone help me

Answers

D, the answer is D I believe

Answer:

C. y = 4/5x + 2

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept

the slope is 4/5, because of rise/run

y-intercept is 2 as the line goes through 2 on the y-axis

Also it's 4/5 not -4/5 because negative means it's going down, the line in this graph is going up hence positive 4/5

For each situation below, complete the table for the values given and the unit rate.
A. 2 bottles of water cost $5.00.
Number of bottles
Cost($)
Cost per bottle
2
5
4
7
6
9
8
11

Answers

Answer:

2 = 5

5 = 12.50

4 = 10

7 = 17.50

6 = 15

9 = 22.50

11 = 27.50

Step-by-step explanation:

4.) A recipe uses 1.75 cups of flour to make 24 cookies. How many cups of flour are needed to make 72 cookies? *

Answers

Answer:

5.47 cups of flour

Step-by-step explanation:

Decide whether or not it is possible for a triangle to have three angle measurements or three side lengths given. If it is possible, then decide whether all such triangles are congruent.

Answers

Answer:

First one is not possible

Second one is possible, and would be an isocèles triangle

Third one is possible, would be scalene

Last one is not possible

Comment any further questions :)

Step-by-step explanation:

A container has 12 1/2 cups of pancake mix. A serving uses exactly 1 1/2
cups
• How many full servings are in the container?
• How many cups of pancake mix are left over?
Enter each answer on a separate line.

Answers

Answer:

8 full servings

Step-by-step explanation:

1/2 cup of mix left

Evaluate [(30 + 6) -3^2] /9.2

Answers

It's 6 srry that guy above just stole free points

(29-(-7):
= =a
Look at picture

Answers

Answer:

Four

Step-by-step explanation:

29 plus 7 = 36 divided by 4= 9

2. The angle of elevation of the top of a vertical
cliff, as seen from a boat 120 m away, is 32°.
The angle of elevation of the top of a flagpole
at the edge of the cliff, as seen from the boat,
is 37º. Find the height of the flagpole.

Answers

Answer: 15.44 m

Step-by-step explanation:

We can think this as two triangle rectangles.

In both cases, the adjacent cathetus is 120m.

When the angle is 32°, the opposite cathetus will be the height of the cliff.

When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.

Then we need to compute both of them and calculate the difference.

We can use the trigonometric relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

in this case we have:

Tan(32°) = (height of the cliff)/(120m)

Tan(32°)*120m = height of the cliff = 74.98m

Now we can use the other angle to compute:

Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m

Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m

Then the height of the flagpole will be:

H = 90.42m - 74.98m = 15.44 m

i will mark you as brianilest The school band sold T-shirts to raise money for an upcoming trip. The band sold 400 T-shirts on Saturday and on Sunday, it will sell 30 percent of that amount. Which statements are true about the number of T-shirts that the band will sell on Sunday? check that all apply A. the answer will be less than 400 because 30 is less than 100 B. The answer will be greater than 400 because 300 percent is greater than 100 C. (100)(4)=400 so 30 (4) is the number of T-shirts the band will sell on Sunday. D. The band will sell 430 T-shirts on Sunday or E. The band will sell 120 T-shirts on Sunday.

Answers

Answer:

A and E

Step-by-step explanation:

A is correct because if you have less than 100 percent of something then the value will be less than the original value.

E is correct because 30 percent of 400 is 120 so the band will sell 120 t-shirts on Sunday.

These tiles represent the expression 2(5x–3)–9x. Which expression is equivalent to 2(5x–3)–9x?

Answers

Answer:

There are various answers... x-6 or 10x-6-9x or (5x-3)2-9x or (-3+5x)2-9x

Step-by-step explanation:

We all just have to distributive or simplify

Why is the red stuff coming out my underwear place pleaseeee helpp

Answers

Answer

it depends if you're on your period and if not then it could be something is but if you're girl its a vaginal discharge is normal start by wearing panty liners to stop it and leaving on to that you'll get your period

Step-by-step explanation:

At a local restaurant, 40% of the lunch customers order a hamburger, 70% of the lunch customers order French fries, and 30% of lunch customers order both a hamburger and French fries. If a lunch customer is randomly selected from this restaurant, what is the probability that the customer order fries if we know they ordered a hamburger?

0.40
0.40

0.43

0.75

0.30

Answers

Answer:

hola anyone got tacos

Step-by-step explanation:

The probability that a customer orders fries given that the customer orders hamburger is 0.75

To solve this, we make use of the following representations

A represents the event that a lunch customer orders a hamburgerB represents the event that a lunch customer orders a French fries

So, we have:

[tex]P(A) = 40\%[/tex]

[tex]P(B) = 70\%[/tex]

[tex]P(A\ n\ B) = 30\%[/tex]

The probability that a customer orders fries given that the customer orders hamburger is calculated as:

[tex]P(B | A) =\frac{P(A\ n B)}{P(A)}[/tex]

So, we have:

[tex]P(B | A) =\frac{30\%}{40\%}[/tex]

[tex]P(B | A) =0.75[/tex]

Hence, the probability that a customer orders fries given that the customer orders hamburger is 0.75

Answers

Answer:

U will not get answers on a test noob

Answer:

Step-by-step explanation:

domain includes alll values of x so are from -1 to 2 except 0

[-1, 0) ∪ (0, 2]

8. 6 lb 5 oz - 4 lb 12 oz (There are 16 ounces in one pound.) (1 point)
2 lb 7 oz
1 lb 7 oz
1 lb 9 oz

Answers

Answer:

1 lb 9 oz.

Step-by-step explanation:

6 lb 5 oz - 4 lb 12 oz:

It's easier to do this in 2 steps:

6 lb - 4 lb 12oz

= 1 lb 4 oz

Now add 5 oz:

= 1 lb 9 oz.

Please help!!

Use Heron’s Area Formula to find the value of “x” in the triangle with the given measures. Area = 21.3
[A] x=7.6
[B] x=7
[C] x=8.7
[D] x =5.9

Answers

Answer:

the answer is B, x=7

Step-by-step explanation:

heron's area formula:

[tex] s = \frac{a + b + c}{2} [/tex]

[tex]area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

plz help me with this homework i have

Answers

the answer is D i’m pretty sure

i’m also pretty sure that it’s d, i’m not the best at it though but that’s the one i got

Plz hurry brainliest garrunted

Which diagram represents a fraction equivalent to 75%?

Answers

Answer:

the third one, each square is 5%

Answer: C

Step-by-step explanation: 75% is 3/4. C has 20 squares, divided by 4 is 5, and 3 times 5 is 15. And 15 squares is shown in choice C.

1 Which expression is equivalent to 1/3y?
A 1/3(y+12)-12
B 1/6y+1/3(y+3)
C 1/6y+1/6(y+12)-2
D 1/3y+1/3(6-y)

Answers

Answer:

D is your answer HOPE THIS HELPS THANK ME PLEASE

Step-by-step explanation:

Solve for x
3x - 7 = 2

Answers

Answer:

x = 3

Step-by-step explanation:

Add 7 to both the seven and the two and you get 3x = 9. Next, you divide 3 by both sides and get x = 3.

1. Let x = 3
3 x 3 - 7 = 2

2. Simplify 3 x 3 to 9
9 - 7 = 2

3. Simplify 9 - 7 to 2
2 = 2

Cherries cost $2.50 per pound and mangoes cost $3 per pound. Kal bought a total of 7 pounds of cherries and mangoes for $20. Write a system of equations to represent the situation.

Answers

Answer:

x + y = 7

2.5x + 3y = 20

Step-by-step explanation:

cherries = $2.5 per pound

mangoes = $3 per pound

7 pounds of cherries & mangoes for $20

unkown x number of pounds in cherries

unknown y number of pounds in mangoes

x + y = 7

2.5x + 3y = 20

A group of four friends goes to the movies. Each friend pays for a ticket, a snack, ana
drink. The ticket costs d dollars. The snack costs 1.5 times the price of a ticket
The drink costs $1.25 less than the ticket.
The expression 4d + 4(1.5d) + 4(d - 1.25) represents the amount the
riends pay altogether in dollars.
Which part of the expression represents the total amount the friends
pay for snacks?
d - 1.25
1.5d
4(1.50)
4d - 1.25)

Answers

Answer:

the answer is

4(1.5d)

Step-by-step explanation:

hope it help

The expression of the total amount paid on snacks is 4(1.5d).

What is the expression?

The expression is a sentence with multiple variables and constants connected via mathematical operator. An expression cannot have an equal to “=” sign.

It is known that the cost of a snack for 1 friend is 1.5 times the price of the ticket, d. So, the cost of a snack for 1 friend will be 1.5d

Multiply the cost of snacks for 1 friend by 4, to determine the total cost spent by 4 friends on snacks.

4(1.5d)

Thus, the expression for the total amount spent on snacks will be 4(1.5d).

To learn more about expressions click:

https://brainly.com/question/13947055

#SPJ5

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