The quantities x and y are proportional. Find the constant of proportionality (r) in the equation y=rx
Answers
Answer:
y=rx 1/4/5/5/5
Step-by-step explanation:
Answer:
r = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The proportional equation is
y = rx ( divide both sides by x )
[tex]\frac{y}{x}[/tex] = r
Substitute any ordered pair from the table
Using (14, 7 ) , then
r = [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex]
Related Questions
Is this equation in standard form?
3xy+ y2=4
Answers
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:
0.02349 in standard form to 3 significant figure is?
Answers
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
The sum of 8th term of an A.P is 160 while to sum of the 20th term is 880. Find the 43rd term
Answers
the 8th term is a+7d
the 20th term is a+19d
The sum of the first 8 terms is
(a)+(a+d)+(a+2d)+...+(a+7d) = 8a+28d
The sum of the first 20 terms is
(a)+(a+d)+(a+2d)+...+(a+19d) = 20a+190d
So
8a + 28d = 160
20a+ 190d = 880
40a + 140d = 800
40a + 380d = 1760
240d = 960
d = 4
8a + 112 = 160
8a=48
a =
6
The first term is 6 and the common difference is 4.
The 43rd term is a+42d = 6+42(4) = 6+168 = 174
The sum of the first 12 terms is
(a)+(a+d)+(a+2d)+...+(a+11d) = 12a+66d = 12(6)+66(4) = 72+264 = 336
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
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.
Answers
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:
https://brainly.com/question/20893366
Help me please help I will give you 13 point because this is due help me please
Answers
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
:)
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?
Answers
Answer:
Step-by-step explanation:
$6.59
Answer:
Hector earns $6.50 more per hour than Geri.
whats the y intercept
Answers
Answer:(0,4)
Step-by-step explanation:
the reason being the equation is y = 1/3x + 4.
Solve the equation. 2p + 15 − 11p = 3(5 − 3p)
Answers
0=0
For the full explanation simply copy and paste your equation to your device browser.
Answer:
2p+15-11p=3(5-3p)
2p-11p+15=15-9p
-9p+9p=15-15
p£R
-9 ÷ 7.2 as a decimal
Answers
if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august
Answers
Answer:
620 to 651
Step-by-step explanation:
21x31=651
210x31=620
Step-by-step explanation:
if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august
august has 31 day's so
20/21×31=
=29.524
what is the answer of this? 4x²-9y²+36y-36=0
Answers
Answer:
x = + - 3(y-2)
this it ut
Answer:
It will be the oval, yw :)
Peter has 4 more candies than Jude. The two have a total of 30 candies. How many candies does Peter have? How many candies does Jude have?
( Using Linear Systems of Equation Substitution/ Elimination)
Answers
Answer:
jude:13 peter:17
Step-by-step explanation:
x is jude
x+x+4=30
2x+4=30
2x=26
x=13
finding peter's amount of candy:
13+4=17
The table below shows the amount of money
needed to buy different number of paint
buckets. What number should replace x?
Bucket Price
($)
5
25
6
30
7
X
8
40
II
Your answer
Explain how you got the answer you entered for #1. *
Your answer
Answers
Answer:
35
Step-by-step explanation:
if you multiply all of the numbers in the first boxes by five, those numbers would be correct. So if you multiply 7 by 5, your answer would be 35
What is the value of this??
Answers
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.....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?
Answers
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
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
Answers
The answer is 6.8 minutes
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?
Answers
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
HELP! QUICK! NO BOTS!
Answers
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
Answers
Find 9% of $2005.00
Can anyone answer this ASAP!!!
Answers
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
Choose the appropriate condition for the following pairs of triangles to be congruent.
Answers
please do this for me
Answers
2x+54=100
2x= 46
X=23
I really need help i need this ASPA
Answers
Answer:
Vertical angles
Actually the correct answer should be Vertically opposite angles
anybody answer this question seriously please it has to be correct
Answers
Answer: that epuals 2/7
Step-by-step explanation:exam
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.).
Answers
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)☺️)
slope=0, goes through the point (0,6)
Answers
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
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
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
Find out more at: https://brainly.com/question/25285332
Complete this division sentence. 9988 ÷ 23 =
Answers
Answer:
434 R2
Step-by-step explanation:
Hope this helps
Answer Asap!
<3 THX <3
XOXO Also giving out brainliest!
Answers
Answer:
4,3 becomes 0,0 after the changes
Answer:
32
Step-by-step explanation:
28 29 30
×/2=y/3; y/4=z/4 và x+2y-z=10
Answers
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