The equations are y=3x-1 and y=-3x+5
I’ll try to solve it in the comments if you still have time
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?
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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The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The waiting times are shown below.
2
3
7
21
19
8
S
12
6
5
7
2
Find the mean waiting time. Round your answer to one decimal place.
8.0 min
7.2 min
7.5 min
6.8 min
The answer is 6.8 minutes
HELP! QUICK! NO BOTS!
anybody answer this question seriously please it has to be correct
Answer: that epuals 2/7
Step-by-step explanation:exam
what is the answer of this? 4x²-9y²+36y-36=0
Answer:
x = + - 3(y-2)
this it ut
Answer:
It will be the oval, yw :)
0.02349 in standard form to 3 significant figure is?
Answer:
I believe that would be 0.0235. I hope this helps you! :)
Answer:
0.0235
Step-by-step explanation:
dfrac{2349}{100000}
Round to the required significant figure: 0.0235
3.
Write an equation for the translation of y = |x|.
6 units left
A. y = |x + 6|
B. y = |x – 6|
C. y = |x| + 6
D. y = |x| – 6
Eloise practiced piano for 2/5 of an hour. Sarah practiced piano for 3/4 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
21 min longer
Step-by-step explanation:
For Eloise, we need to know how much 1/5 of an hour is in min. So divide 60 by 5 and we get 12min. So 2/5 of an hour is 2x12, giving us 24 min.
For Sahrah, we need to know how much 1/4 of an hour is in min. So divide 60 by 4 and we get 15min. So 3/4 of an hour is 3x15, giving is 45 min.
now that we know how long they practiced, we find the difference by subtracting. 45-24 = 21
His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gross income. For Plan B, he can receive 1/60 of the company’s profit. Gross income is the total amount the company takes in. Profit is the difference of the gross income and expenses. The company’s expenses for one month are $100,000.
A) Write an equation for finding the gross income that would give Malcom Davis the same amount of money with either plan.
B) Solve the equation from Exercise A and interpret the solution.
C) How much would Malcom Davis receive when the two plans are the same?
D) If the gross income of the company is less than the amount from Part B, which plan would be better for Malcom Davis? Show work to support your answer.
Malcom Davis earnings is an illustration of equations and proportions.
The equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]The gross income must be $300000, for Dave to earn the same amount with either plan.His earning is $3333.33 when the plans are the same.Let the profit be P, and the gross income be G.
So, we have:
[tex]\mathbf{P= G - 100000}[/tex]
(a) The equations
For plan A, we have:
[tex]\mathbf{A = \frac{1}{90}G}[/tex] ----1/90 of the company's gross income
For plan B, we have:
[tex]\mathbf{B = \frac{1}{60}P}[/tex] ----1/90 of the company's profit
When both are the same, we have:
[tex]\mathbf{A= B}[/tex]
This gives
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}P}[/tex]
Substitute [tex]\mathbf{P= G - 100000}[/tex]
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
Hence, the equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
(b) Solve the equation in (a), and intepret
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
Cross multiply
[tex]\mathbf{60G = 90G - 9000 000}[/tex]
Collect like terms
[tex]\mathbf{90G - 60G = 9000 000}[/tex]
[tex]\mathbf{30G = 9000 000}[/tex]
Divide both sides by 30
[tex]\mathbf{G = 3000 00}[/tex]
The gross income must be $300000, for Dave to earn the same amount with either plan.
(c) His earnings based on (c)
We have:
[tex]\mathbf{A = \frac{1}{90}G}[/tex]
Substitute [tex]\mathbf{G = 3000 00}[/tex]
[tex]\mathbf{A = \frac{1}{90} \times 300000}[/tex]
[tex]\mathbf{A = 3333.33}[/tex]
His earning is $3333.33 when the plans are the same
(d) If the gross income in less than (b)
If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B
Read more about equations at:
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i need help with this
I really need help i need this ASPA
Answer:
Vertical angles
Actually the correct answer should be Vertically opposite angles
Can someone solve the whole thing for me please it isnt a test its an online assignment and ill give you brainliest if you solve all of them correctly
Answer: do you have a email so i can send it to you??
Step-by-step explanation:
please do this for me
slope=0, goes through the point (0,6)
Answer:
y=6
Step-by-step explanation:
no slope means no X or M in y=mx+b
leaves you with y=b which is whatever y is in the cordinate (x,y)
in this case, 6
Answer:
y=6
Step-by-step explanation:
We can use point slope form
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-6 = 0(x-0)
y-6 = 0
Add 6 to each side
y-6+6 = 0+6
y=6
Is this equation in standard form?
3xy+ y2=4
Answer:
standard form is {Ax+By=c}
as mentioned above the given equation is not in {Ax+By=c}..
hence it's not in standard form
Answer:
ax+by=c so no
Step-by-step explanation:
Rebecca is playing a video game that involves planting and cutting down trees. She moves up an energy level for each tree she plants, and she moves down a level for each tree she cuts. If Rebecca reaches energy level 10, she will earn bonus points. Rebecca is currently at energy level 4. The results of her next 3 turns are: Turn 1: 6 trees cut Turn 2: 8 trees planted Turn 3: 1 tree cut Answer the questions to find out whether Rebecca earned bonus points in the next 3 turns. Use the number line to help you add.
Using only addition, write an expression that represents Rebecca's score after these three turns. (Remember that she starts at an energy level of 4.).
Answer:
After turn one she will have 0 points !
Step-by-step explanation:
After turn one she will have 0 points
After turn 2 she will have 8 points
After turn 3 she will have 7 points
She will not earn bonus points because she could not reach ten points
(Hope this helps can I pls have brainlist (crown)☺️)
A game spinner has 8 sections, 3 red, 1 blue, 2 yellow, and 2 green. What is the probability of not spinning a green?
Answer:
3/4
Step-by-step explanation:
green takes up 1/4 so the rest that arnt green is the answer
Find 9% of $2005.00
Can anyone answer this ASAP!!!
Step-by-step explanation:
= [tex]\frac{9}{100}[/tex] × [tex]2005[/tex]
= [tex]\frac{3609}{20}[/tex]
= [tex]180\frac{9}{20}[/tex] or 180.45
please give me a brainliest answer
A tablespoon is equivalent to about 4 teaspoons. A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon vanilla. What is the unit rate in tablespoons
per cup?
Answer:
I understand the exercise is about unit rates, but why go out of the way to state false information? A tablespoon is exactly 3 teaspoons!
Anyway,
(1/2 tsp)/(2/3 cup) * (1tbsp)/(4tsp) = 1/2 * 3/2 * 1/4 = 3/16 tbsp/cup
Step-by-step explanation:
Ok
×/2=y/3; y/4=z/4 và x+2y-z=10
Answer:
Step-by-step explanation:
[tex]\dfrac{x}{2}=\dfrac{y}{3}\\\\[/tex]
Cross multiply,
3x = 2y ------------(I)
[tex]\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z[/tex]
y = z --------------(II)
Plugin y =z in (I)
3x = 2z
3x/2 = z ----------------(III)
x + 2y - z = 10
From (I) and (III)
[tex]x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20[/tex]
Divide both sides by 5
x = 20/5
x = 4
Plugin x = 4 in (I)
3*4=2y
12 = 2y
2y = 12
y = 12/2
y = 6
z = y
z = 6
Help me please help I will give you 13 point because this is due help me please
Answer:
Expression 1: 16÷8 has the greatest value.
Step-by-step explanation:
16÷8 =2
whereas,
0.16÷8= 0.02
1.6÷8= 0.2
0.16÷0.8= 0.2
:)
The sum of 8th term of an A.P is 160 while to sum of the 20th term is 880. Find the 43rd term
The value of the 43rd term of the arithmetic sequence will be 482.
What is the sum of an arithmetic sequence?Let a be the first term, L be the last term, n be the number of terms, and d be a common difference.
Then the sum of the arithmetic sequence will be
Sₙ = (n / 2)[a + L]
Sₙ = (n/2) [2a + (n − 1) d]
An A.P.'s eighth term is worth 160 while their twentieth term is worth 880.
160 = (8/2)(2a + 7d)
2a + 7d = 40 ...1
880 = (20/2)(2a + 19d)
2a + 19d = 88 ...2
From equations 1 and 2,
40 - 7d + 19d = 88
12d = 48
d = 4
Then the value of 'a' is given as,
2a + 7(12) = 40
2a = 40 - 84
2a = -44
a = -22
The value of the 43rd term is given as,
aₙ = a + (n - 1)d
a₄₃ = - 22 + (43 - 1)(12)
a₄₃ = - 22 + 42 x 12
a₄₃ = - 22 + 504
a₄₃ = 482
More about the sum of arithmetic sequence link is given below.
https://brainly.com/question/25749583
#SPJ5
whats the y intercept
Answer:(0,4)
Step-by-step explanation:
Complete this division sentence. 9988 ÷ 23 =
Answer:
434 R2
Step-by-step explanation:
Hope this helps
-9 ÷ 7.2 as a decimal
During the summer, Hector does yard work, and Geri babysits.To show their earnings, Hector makes a graph, and Geri makes a table. Which statement is true?
Answer:
Step-by-step explanation:
$6.59
Answer:
Hector earns $6.50 more per hour than Geri.
What is the value of this??
Answer:
[tex]18[/tex]
Step-by-step explanation:
The value of 7 (10 - 2³) + 8 ÷ 2 is 18.
[tex]7(10 - {2}^{3} ) + 8 \div 2 [/tex][tex]7(10(2 \times 2 \times 2)) + 8 \div2[/tex][tex]7(10 - 8) + 8 \div 2[/tex][tex]7 \times 2 + 8 \div 2[/tex][tex]14 + 4[/tex][tex]18[/tex]Hope it is helpful.....if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august
Answer:
620 to 651
Step-by-step explanation:
21x31=651
210x31=620
Step-by-step explanation:
if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august
august has 31 day's so
20/21×31=
=29.524
Answer Asap!
<3 THX <3
XOXO Also giving out brainliest!
Answer:
4,3 becomes 0,0 after the changes
Answer:
32
Step-by-step explanation:
28 29 30
Peter has 4 more candies than Jude. The two have a total of 30 candies. How many candies does Peter have? How many candies does Jude have?
( Using Linear Systems of Equation Substitution/ Elimination)
Answer:
jude:13 peter:17
Step-by-step explanation:
x is jude
x+x+4=30
2x+4=30
2x=26
x=13
finding peter's amount of candy:
13+4=17