Andre is paid $12 per hour at his caddying job and $9.50 per hour working at a local fast food restaurant. He would like to keep both jobs and earn at least $275.00 a week, but he can work no more than 25 hours. If x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant, which system models this scenario?

Answers

Answer 1

The equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Let x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant.

Since he earn at least $275.00 a week, hence:

12x + 9.5y ≥ 275   (1)

Also, he can work no more than 25 hours, hence:

x + y ≤ 25   (2)

Therefore the equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

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Related Questions

2) translation: 2 units up
Q(-4,-2), R(-4,-2), s(0, -2), t(-3-5)

Answers

Answer:

Q'(-4,0), R'(-4,1), S'(0,0), T'(-3,-3)

Step-by-step explanation:

To solve this, what we need to do is find out what the translation is. So if we are translating those coordinates up two units, then that means we are basically adding two to the y value.

So that means that we will use the mapping (x,y)→(x,y+2)

Now we plug this in. We will start with Q:

Q(-4,-2)→Q'(-4,-2+2)→Q'(-4,0)

So when Q is translated two units up, we get Q'(-4,0).

Now we will do R:

R(-4,-1)→R'(-4,-1+2)→R'(-4,1)

So when R is translated two units up, we get R'(-4,1).

Now we will do S:

S(0,-2)→S'(0,-2+2)→S'(0,0)

So when S is translated two units up, we get S'(0,0).

Next we will do T:

T(-3,-5)→T'(-3,-5+2)→T'(-3,-3)

So when T is translated two units up, we get T'(-3,-3).

Answer:

Step-by-step explanation:

Hello  there !

    [tex]\boxed{\begin{array}{c|c} \boxed{\bf x} & \boxed{\bf y+2} \\ -4 & 0 \\-4&1\\0\!\!\!\!&0 \\ -3 &-3 \end {array }}[/tex]

A snail glides 4 metres in 2 hours

what is the average speed of the snail in metres/hour?

how far will it glide in 6 hours?

what is the time taken by the snail to glides a distant of 1 metre?​

Answers

Answer:

2 metres per 1 hour

12 metres per 6 hours

30 minutes to glide 1 metre.

Step-by-step explanation:

1. To find the average speed, simply divide the distance covered by the amount of time taken, like so:

4 metres / 2 hours = 2 metres per 1 hour

2. To find how many metres the snail will glide in 6 hours, multiply the 2 metres per 1 hour by 6, like so:

6(2 metres per 1 hour) = 12 metres per 6 hours

3. Because we know that 2 metres take 1 hour to glide over, if we divide 2 in half, we get 1, so we can also divide 1 hour in half to get 30 minutes. Therefore, it takes 30 minutes to glide 1 metre.

Hope this helps :)

Consider triangle ABC where AB=X+5, BC=X-2, area is 30cm squared. Find X by solving X^2+3X-70=0, and find the perimeter.

Answers

Answer:

What the hell AC is not given so you can't find the Perimeter

Step-by-step explanation:

x^2+3x-70=0(x-7)(x+10)=0x-7=0

       x+10=0

x=7

       x=-10

AB=x+5

AB=12

        AB=-5

BC=x-2

BC=5

        BC=-12

Area of ABC = 30cm2

Perimeter of ABC = AB+BC+AC

Doy corona si me ayudan solo diganme la respuesta y yo lo hare :)

Answers


4/5 de 20cm = 16
2/9 de 540kg = 120
4/12 de 60 flores = 20
creo que las ultimate son
2/5 = 0.4
12/7 = 1.714 or 2.0 rendido al tenth sercano
3/10 = 0.3

Christina is paying back the $120 she borrowed from her parents. If she pays $15 per week, how long will it take her to pay the $120?

Answers

Answer:

8 weeks

Step-by-step explanation:

i just divided 120 and 15

Answer:

It's 8 weeks

Step-by-step explanation:

because you basically take 120/15= answer or amount due divided by amount payed per (time choice)= time taken

I hope this helped!

A motorcycle can go 75 miles using one gallon of gas. About how many gallons of gas will be used to go 200 kilometers?
(Note: 1 mile is approximately 1.6 kilometers.)
Group of answer choices

A. 1 gallon

B. 2 gallons

C. 3 gallons

D. 4 gallons

Answers

Answer:

option d

hope it will help u

Answer:

I think its 2 gallons I'm soooo sorry i got it wrong

Abboy has 800, he spend 160. What fraction of his original money does he have left

Answers

Answer:

80%

Step-by-step explanation:

800-160=640

640/800=.8

.8=80%

can someone please help me as soon as possible​

Answers

Answer:

a quadratic function is letter A

which expression has the same meaning as 3 5/4

Answers

Answer: [tex]\frac{17}{4}[/tex]

Step-by-step explanation:

Simply convert 3/1 into 12/4, then add it to 5/4, to get 17/4.

Hope it helps :) and let me know if you want me to elaborate.


If x =- 5, which expression is equivalent to - 40k – x)?
A. – 4(k – 5)
B. – 40k + 5)
C. – 4(- 5k)
D. – 40k + (-5))

Answers

Answer:

B

Step-by-step explanation:

x = -5

Put in -5 for x, and expand:

-40(k-x) = -40(k+5)

B. -40(k+5)

EQUILATERAL

ISOSELES

SCALENE

Answers

Answer:

isoseles triangle

explanation: none of the sides are the same

hope this helps

Answer: SCALENE

Step-by-step explanation:

All sides are unequal, ISOSELES has 2 equal sides and EQUILATERAL all sides are equal.

Which statement about the slope of a line is true?

Answers

Answer:

wheres the line

Step-by-step explanation:

please help i reward brainliest ;)
Leila runs at 12 miles per hour. Find the number of miles she can travel if she runs for 3 more than t hours.

Answers

Answer:

If she runs for three hours, then she'll run 36 miles

Going at the speed she is going, Leila can travel a distance of 12(3 + t).

The distance that a person can travel is found by:

= Speed x time

The speed here is 12 miles per hour

Time = 3 more than t hours = (3 + t hours)

The distance Leila would have gone is therefore:

= 12 x (3 + t)

= 12 (3 + t)

In conclusion, as the question is not complete, the relevant expression to find the distance is 12 ( 3 + t)

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Can someone please help im very bad at these

Answers

Answer:

of the 30 students in the class, 2/3 are wearing jackets. How many students in the class are wearing jackets.

Step-by-step explanation:

For the first one, the equation would be 1/3(30)

for the second, the equation would be 3/2(30)

and the last on would be the same as the first. 1/3(30)

Anyone pls answer this question.

Answers

If we start by 406.5 amount in 25/10/2017

And we have to pay car loan in 26/10/2017 equals 223.65
Then the balance will be 406.5-223.65= 182.85

Then we have the salary in 27/10/2017,
So the balance will become 182.85+ 1325.31= 1508.16

So the blanks are 182.85, 1508.16

What is the answer to this equation below and is it a one step or two step equation?
6x+8 = 59

Answers

6x=59-8
6x= 51
x=51/6
The answer is x=51/6
6x+8=59

Take away 8 on both sides

6x=51

x=51/6

Personally leave it as a fraction

express each of the following rational as adecimal 3/25​

Answers

Answer:

3/25 as a decimal is 0.12

Step-by-step explanation:

May u give all the answers to these? please and thank you! <3
---------------------------------------------------------------------
Write an equation for the statement
(this applies for all of them <3)


1. The product of nineteen and a number x is seven

2. The sum of a number x and negative thirty is two

3. A number x divided by negative twenty-seven is eight

4. Twelve less than a number x is five

5. One-third of a number x is three​

Answers

Answer:

1. 19 (x) = 7

2. -32 + x = 2

3. x ÷ -27 = 8

4. x - 12 = 5

5. 1/3 (x) = 3

Step-by-step explanation:

:)

Aurora has a cell phone plan that charges $65 for phone service

Answers

Answer:

interesting

Step-by-step explanation:

350 x 593 = _____
50 points.. very rare.. hurry up to answer :)

Answers

Answer:

the answer is 207550

.............................

a triangle is equilateral if sides are the same length. true or false?

Answers

True

A triangle with all the three sides equal equilateral

Hope this helped you- have a good day bro cya)

2.) A group of kids ate 3/4 of a pizza. If each kid ate a 1/8 piece of the whole pizza, how many kids shared the pizza? *youre answer?

Answers

6, because 3/4=6/8 so 6 kids ate it if each has 1/8

Kate and Riley are reading the same book. Kate reads 1/3 page per minute, and Riley reads 3/4 page per minute. Kate has already read 70 pages, while Riley has read 30 pages. If they both resume reading together, eventually Riley will catch up to Kate.

(please show your working)

a. On what page will that occur?
b.How many minutes have they read when Riley catches up?

Answers

Let's call kate, sara
And call riley ,henery

Pls answer question thx

Answers

There is a total of 53 Yr 11 students. 18 in math 13 in science making 31 students, leaving 22 Year 11 students for english. 37 total students picked english, so that makes 15 the remaning amount which is put into the Yr12 students.

There are 100 students total. 53 of which are Yr 11 students leaving 47 to be Yr12 students.

12 Yr 12 students chose science, 15 Yr 12 kids chose english, leaving 20 Yr12 students to have chosen math.

12+15+20=47 Yr 12 students.

22+18+13=52 Yr 11 students.

15 Yr 12 students chose english.

20 Yr 12 students chose math.

12 Yr 12 students chose science.

There are 47 Yr 12 students total.

22 Yr 11 students chose english.

18 Yr 11 students chose math.

13 Yr 11 students chose science.

There are 53 Yr 11 students.

Please help complete the table to show the coefficents of each term in the expression

Answers

Answer:

In order from left to right

5,0,0,-4,0,0,8

Step-by-step explanation:

A coefficient is a number that comes before the variable in an equation. First of all, it is important to note that variables that are not present in the equation have a coefficient of 0. This is because 0 times a number is 0; therefore, if a variable is not present it must be multiplied by 0. Additionally, constants can be represented as [tex]x^0[/tex]. Any number raised to the power of 0 is 1. Thus, the coefficient of x^0 is 5 because 1*5=5. Finally, the numbers 8 and -4 appear before [tex]x^6[/tex] and [tex]x^3[/tex], respectfully. Since they come before variables in a term they must be coefficients.

how to solve this problem
-3 1/3 x (-2 7/10)

Answers

Answer: 9

Step-by-step explanation:

-3 1/3 x (-2 7/10)

-3  = -3*(3/3) = -9/3

-3 1/3 = -10/3

(-2 7/10)

-2  = -2(10/10) = -20/10

-2 7/10 = -27/10

(-10/3)*(-27/10) = (270/30) = 9

An airline estimates that 97% of people booked on their flights actually show up. If the airline books 70 people on a flight for which the maximum number is 68, what is the probability that the number of people who show up will exceed the capacity of the plane? O 0.119 O 0.649 O 0.375 O 0.257​

Answers

Answer:

0.649

Step-by-step explanation:

The probability that the number of people who show up to the plane exceed the capacity of the plane is 0.257.

What is Binomial Probability distribution?

Binomial distribution in probability is the discrete distribution that results in only two possible values in an experiment. The two possible values are either success/ true/ one which is denoted by probability 'p' or failure/ false/ zero which is denoted by q = 1 - p.

Binomial distribution formula can be written as,

P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

where, n is number of experiments and x = 0, 1, 2, ...

Here, it is given that capacity of plane is 68

Number of people actually booked for flight is 70 ⇒ n = 70

Probability that people booked on their flight actually show up = 0.97

So, p = 0.97

⇒ q = 1 - p = 1 - 0.97 = 0.03

Let P be the probability that the number of people showing up exceed the capacity of the plane.

P = P (x = 69) + P (x = 70)

P = [⁷⁰C₆₉ (0.97)⁶⁹ (0.03)⁷⁰⁻⁶⁹] + [⁷⁰C₇₀ (0.97)⁷⁰ (0.03)⁷⁰⁻⁷⁰]

P = [ 70 × 0.122 × 0.03] + [1 × 0.119 × 0.03]

P = 0.2562 + 0.00357

P = 0.2598 ≈ 0.257

Hence, probability that the number of people who show up will exceed the capacity of the plane is 0.257.

To learn more on binomial probability distribution, click:

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There are 15 pieces of the same size candy in a bag. Four are banana flavored, three strawberry flavored, six cherry flavored, and two orange flavored. What would be the probability of picking an orange or a cherry flavored candy from the bag? Round to the nearest tenth.

Answers

The probability of picking an orange or a cherry flavored candy from the bag is [tex]\frac{8}{15}[/tex].

Given that, total number of candies=15, banana flavoured candies=4, strawberry flavoured candies=3, cherry flavoured candies=6 and orange flavoured candies=2.

We need to find out what would be the probability of picking an orange or a cherry-flavoured candy from the bag.

What is a probability formula?

According to the probability formula, the likelihood that an event will occur is equal to the proportion of favourable outcomes to all outcomes.

The probability of an event[tex]=\frac{Number of favourable outcomes}{Total Number of outcomes}[/tex].

Now, the probability of picking an orange flavored candy from the bag [tex]=\frac{2}{15}[/tex]

The probability of picking a cherry flavored candy from the bag [tex]=\frac{6}{15}[/tex]

The probability of picking an orange or a cherry flavored candy from the bag [tex]=\frac{2}{15}+\frac{6}{15}=\frac{8}{15}[/tex].

Therefore, the probability of picking an orange or a cherry flavored candy from the bag is [tex]\frac{8}{15}[/tex].

To learn more about the probability visit:

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i need help
2 x 3 + 4 - 6r2
A : -26
B : -22
C : -2
D : 10

Answers

6+4-36
-26
The answer is -26

There is a bag with only red marbles and blue marbles. The probability of only choosing a red marble is 5/8. There are 25 red marbles in the bag and each is likely to be chosen. How many marbles should there be in total?

Answers

Answer:  40

25 red, 15 blue

======================================================

Work Shown:

b = number of blue marbles = unknown

r = number of red = 25

T = number total = 25+b

r/T = probability of getting red = 5/8

r/T = 5/8

25/(25+b) = 5/8

25*8 = 5(25+b) .... cross multiplication

200 = 125+5b

200-125 = 5b

75 = 5b

5b = 75

b = 75/5

b = 15

We have 15 blue marbles and 25 red marbles. This means there are T = r+b = 25+15 = 40 marbles total.

The proportion of red is r/T = 25/40 = (5*5)/(5*8) = 5/8 to help confirm we have the correct value for b.

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