Harper is working two summer jobs, making $19 per hour lifeguarding and making $8 per hour walking dogs. In a given week, she can work at most 7 total hours and must earn a minimum of $80. If x x represents the number of hours lifeguarding and y y represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
We know that:
She makes $19 per hour of lifeguarding.
She makes $8 per hour walking dogs.
She can work at most 7 hours per week.
She must earn a minimum of $80 per week.
If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, the inequalities will be:
x + y ≥ 7 hours.
(this says that she can work at most 7 hours per week)
x*$19 + y*$8 ≥ $80
(this says that she can earn a minimum of $80)
Then the system of inequalities is:
x + y ≥ 7 hours.
x*$19 + y*$8 ≥ $80
To graph these two we can write them as lines in standard form and simply graph both inequalities, the solution of the system will be the intersection between the solutions of each inequality.
Here we also should add the inequalities:
x ≥ 0
y ≥ 0
So we only look at the first quadrant.
The graph can be seen in the image below: (the dark blue is the solution region for the first inequality, the light blue one is the solution region for the second inequality)
One possible solution can be:
x = 4 and y = 1
or
x = 4 and y = 2
and there are a lot of other possible solutions.
Answer:
Step-by-step explanation:
Related Questions
NO LINKS PLEASE what is y? (please explain the steps too :))
y=3(19)-5 y=2(19)+14
Answers
Answer:
solution given:
y=3(19)-5=57-5=52
y=2(19)+14=2×19+14=38+14=52
:.
y=52
Answer:
y = 52
Step-by-step explanation:
Order of operation says we must multiply before you subtract or add.
So 3 * 19 = 57 then subtract 5 you get 52.
Next 2 * 19 = 38 then 38 + 14 = 52
You save $1400 from a summer job. You decide to put it into an account that earns simple annual interest. After 9 months, your balance is $1421. Find the annual interest rate.
Answers
Answer:
2%
Step-by-step explanation:
Calculate annual interest amount first:
annual interest x 9/12=21
Annual interest =21x12/9
annual interest amount=$28
calculate annual interest rate
1400 x interest rate = annual interest
$1400 x interest rate = $28
interest rate =$28/1400
interest rate=.02 or 2%
(2a²b 5)2 (ab 332
22(a²b-c-3)(a?c%)
Answers
wright this without exponents
-2u^5*6u^3
Answers
Answer:
-12u^8
Step-by-step explanation:
PLS HELP 55 POINTS PLSS NO LINKS PLS HELPP
Answers
Answer:
12. 114 Laps
13. 234 students don't ride the bus.
14. 1.5% of 26,500.60 is 397.50 so the answer is $26,500.60
15. 24% × 63.4 = 15.2 so the original weight of the bag is 63.4 pounds
Step-by-step explanation:
-24 + 12d = 2(d-3) + 22
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i included the work in a photo so i hope this helps you :))))
Which of the following represents discrete data? Question 7 options: The number of beads in a jar The volume of water in a glass Fruit per pound The speed of a motorcycle
Answers
Answer:
the number of beads in a jar. took test got it right.
Step-by-step explanation:
The option that represents a discrete data is the number of beads in a jar.
What is discrete data?Discrete data is data that contains integers that can only be a limited number of possible values. An example of discrete data is the number of students in a class.
Discrete data has the following properties:
finite numeric countablenon-negative integers.Find the area of the shape, there are 6 sides
Answers
Answer:
Step-by-step explanation:
all the three sides of a triangle are equal.
length of perpendicular from center on the side=[tex]h=\sqrt{21^2-(\frac{21}{2})^2} =\frac{21}{2}\sqrt{3} \\area ~of~shape=6 \times \frac{1}{2} \times 21 \times \frac{21}{2}\sqrt{3} \\=\frac{1321}{2}\sqrt{3} ~sq. ~ft.[/tex]
b) 1325 + 13 long division
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Answer:
1325 divided by 13 is 101.92 rounded to the nearest hundredth
Step-by-step explanation:
I'm not sure what the question is asking though.
Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below.
Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance.
Natasha uses the $25 off the repair cost coupon first. She then uses the 20% off the repair cost coupon on the remaining balance.
Who paid the least amount of money for the iPhone repair?
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Answer:
natasha paid the least amount
The width of a rectangle is 1/2 its length. The perimeter of the rectangle is 300ft. What is the length in feet of the rectangle
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Answer:It's simple. All you need to do is subtract 2 from 40.
Step-by-step explanation: Length: 40 ft
Width: 38 ft
Hopefully that helped!
‼️Someone help please..
Find the missing term in each sequence
Answers
Answer:-170
Step-by-step explanation:as you can see it is going in a pattern from the negative ok thanks.
name the solid figure formed by the net
Answers
Answer:
A
Step-by-step explanation:
Observa las siguientes imágenes formadas por círculos:
Figura 1 (un circulo) Figura 2 (5 círculos)
-¿Cuántos círculos tendrá la Imagen 10?
-¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7? ¿Puedes saberlo sin necesidad de encontrar la cantidad de círculos de cada imagen? ¿Cómo?
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2.la imagen 12 tendrá 45 puntos y la 7 tendrá 25 puntos
La diferencia de puntos entre la figura 7 y 12 serán seran 20 puntos
-si lo pude saber sin la necesidad de encontrar la cantidad de los círculos de las imágenes porque cada ves vamos agregando 4 puntos
Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.
¿Como encontrar el patrón?
Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.
En la primera, tenemos 1 circulo.En la segunda, hay 5 circulos.En la tercera, hay 9 circulos.En la cuarta, hay 13 circulos.Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:
[tex]C_N = 1 + (N - 1)*4[/tex]
Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.
[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]
¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?
Para ver esto calculamos:
[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]
Es decir, la image 12 tiene 20 circulos más que la imagen 7.
Sí quieres aprender más sobre secuencias, puedes leer:
https://brainly.com/question/7882626
What is the measure of <4? Enter your answer in the box.
m<4=
Answers
Answer:
59
Step-by-step explanation:
These angles make linear pair
so angle 4 +60+61=180
Angle 4 = 180-121 = 59
what is 100 + 84 – 62x = 494
Answers
Answer:
X= -5
Step-by-step explanation:
Good luck!
Answer:
X=-5
Step-by-step explanation:
100 + 84 - 62x =494
184 - 62x =494
494-184 = -62x
310 =-62x
310/-62 =x
X= -5
please help !!
25 points !!!
Answers
Answer:
30
Step-by-step explanation:
70-40=30
if y=27 when x= 8 find y when x =11
Answers
Answer:
37 1/8
Step-by-step explanation:
The problem probably assumes direct variation
y=kx
IF so, then plug in the values and solve for k
27=k(8)
k = 27/8
y= (27/8)x. Now let x = 11
y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8
y = 37 1/8
the problem is making some assumption about the relation between x and y. The simplest assumption that's likely is direct variation, that x and y are linearly related. The graph is a straight line through the origin with slope = 27/8
4 = 4 ( x + 10 ) solve for x
Answers
Answer:
x = -9
Step-by-step explanation:
mark helpfull give 5str and award brainliest
Answer:
x = -9
Step-by-step explanation:
4 = 4(x + 10)
=> 4/4 = x + 10
=> 1 = x + 10
=> x + 10 = 1
=> x = 1 - 10
=> x = -9
Helppp do any understand rhis ?
Answers
180-155=25
x=25
Answer:
x= 25 degrees
Step-by-step explanation:
A triangle has a total of 180 degrees.
110 degrees + 45 degrees = 155 degrees
180 degrees - 155 degrees = 25 degrees
Si se llenan 45 frascos de 200 gramos de mayonesa cuantos frascos de 150 gramos se puede llenar con la misma cantidad
Answers
Answer:
45x200gr/150gr= 60
Step-by-step explanation:
Ok I need help what is If X = 8 units, Y = 4 units, and Z = 6 units, what is the volume of the rectangular prism shown above?
Answers
What is the sum of 25 57/100 + 72 9/10 and 362 17/100 + 49 3/10
Answers
Answer:
509.94
Step-by-step explanation:
That's the answer!
trust me! Correct me if I'm wrong
don't worry I solved it so many
times and that's the answer
hope it helps you ❤
follow me for more!
first on is 98.47
second one is 411.47
Hop this helps :T
HOW DO YOU SOLVE THESE DIAMOND PATTERNS!!
Answers
7b-3<11
Is anyone know the answer
Answers
Answer:
b < 2
Step-by-step explanation:
7b - 3 < 11
add 3
7b < 14
divide
b < 2
Answer:b<2
Step-by-step explanation:
In a population of adults the proportions of people in various marital status are: Single:35%, Married: 60%, Divorced: 5%. A person is selected at random. If that person is not divorced find the probability that he or she is single.
Answers
Answer:
7/20 0r 0.35
Step-by-step explanation:
Probability of been single = percentage of single adult / sum of percentages
sum of percentages = 35 + 60 + 5 = 100
35/100 = 7/20 or 0.35
Fill in the factor:
11 × ___=99
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Answer:
9
Step-by-step explanation:
11 × 9 = 99
how many hundreths is 8.3
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Answer:
3 tenths and 0 hundreths
Step-by-step explanation:
3 is in the tenths place.
So 3 tenths.
There is no value in the hundreths place
So 0 hundreths
I need help geometry !
Answers
Can someone please help me with math.
