Answer:
y = [tex]-\frac{1}{5}[/tex]x - 4
Step-by-step explanation:
Given parameters:
Coordinates = (5, -5)
Equation of the line, x + 5y = 20
Unknown:
Equation of the line parallel to this= ?
Solution:
To find the equation of the line, we must first understand that parallel lines are lines having the same slope. They do not cross each other at any point.
The equation of any straight line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y- intercept
Now,
x + 5y = 20
Let us find the slope of this line;
5y = -x + 20
Divide through by 5;
y = [tex]-\frac{1}{5}[/tex]x + 4
The slope of the new line is the coefficient of x;
Slope = [tex]-\frac{1}{5}[/tex]
So, let us find the y-intercept of the new line;
-5 = [tex]-\frac{1}{5}[/tex] x 5 + c
-5 = -1 + c
c = -5 + 1 = -4
Now,
y = [tex]-\frac{1}{5}[/tex]x - 4
Answer: y = -(1/5)x - 4
Step-by-step explanation:
Please... I really need help
hope it's right that is what I thought good luck
11. Six times a certain number less 31 is the same as 10 subtracted from
Ehree times the number. Write the equation and find the number.
Answer:
The number is 7Step-by-step explanation:
x - a certain number
6x - - six times the number
6x-31 - six times the number less 31
3x - three times the number
3x-10 - 10 subtracted from three times the number
so the equation:
6x - 31 = 3x - 10
+31 +31
6x = 3x + 21
-3x - 3x
3x = 21
÷3 ÷3
x = 7
Check: 6•7-31=42-31=11; 3•7-10=21-10=11
Sarah has been keeping track of how many hours she practices basketball each week and thinks that the percentage of free throws she makes during practice improves the more she practices. To check this, she makes a graph comparing the number of hours she practices each week with the percentage of free throws she makes each week. based on what she learned in her algebra class, she realizes that her graph represents a function. Which of these could be sarah's graph?
Answer:
There's no image or anything
jan is 5 years older than tom.jan will be 3/4 as old as jan.what is tom´s age now
(9.r + 1)
(11x - 23),
Help me please
Answer
X= 8 i answered it as fast as possible
Triangle ABC has vertices at A(-3, 1), B(2, -4), and C(1, 5). It is translated 2 units right and 3 units down to form triangle A’B’C’. A'B'C' is then reflected over the line y = x to form triangle A''B''C''. What are the vertices of triangle A’'B’'C’'? A. A''(2, 1), B''(7,-4), C''(-2, 3) B. A''(2, -1), B''(7,4), C''(-2, -3) C. A''(-1, -2), B''(4,-7), C''(-3, 2) D. A''(-2, -1), B''(-7,4), C''(2, 3)
The vertices of triangle A''B''C'' are A''(-2, -1), B''(-7, 4), and C''(2, 3).
Thus, option (D) is correct.
1. Translation: The original triangle ABC is translated 2 units to the right and 3 units down to form triangle A'B'C'.
To translate a point (x, y) by (a, b), the new coordinates become
(x + a, y + b).
The coordinates of A' would be:
A' = (-3 + 2, 1 - 3) = (-1, -2)
The coordinates of B' would be:
B' = (2 + 2, -4 - 3) = (4, -7)
The coordinates of C' would be:
C' = (1 + 2, 5 - 3) = (3, 2)
2. Reflection over y = x:
Triangle A'B'C' is reflected over the line y = x to form triangle A''B''C''.
To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).
The coordinates of A'' would be:
A'' = (-2, -1)
The coordinates of B'' would be:
B'' = (-7, 4)
The coordinates of C'' would be:
C'' = (2, 3)
Therefore, the vertices are A''(-2, -1), B''(-7, 4), and C''(2, 3).
Thus, option (D) is correct.
Learn more about Translation here:
https://brainly.com/question/17052587
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100 pts + brainliest for the best answer :)
Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the president’s goal?
Least number of tickets = ___
Step-by-step explanation:
Least No. of tickets is 100
Answer:
least number of ticket is 100
Select ALL the correct answers.
Which of the following would be appropriate to measure in centimeters?
- the height of a standard ceiling
- the width of a swimming pool
- the yearly increase in a child's height
- the distance between Philadelphia and New York City
- the length of a paperclip
Your older brother drove to your grandparents’ house in a different car but left from the same location at the same time. If he traveled at a constant speed of 60 miles per hour, explain why he would reach your grandparents’ house first. Use words, diagrams, or numbers to explain your
Please answer I will mark brainlist
75m/60=1.25
1.25=1 1/4 hours
So the answer Is 1 1/4 hours.
hope this helps
In one version of a trail mix, there are 6 cups of peanuts mixed with 4 cups of
raisins. In another version of trail mix, there are 13.5 cups of peanuts mixed
with 9 cups of raisins.
1a. Are the ratios equivalent for the two mixes?
Yes
No
This is a required question
16. Explain how you know.
Your answer
Ratio of peanuts to raisins in the first version of a trail mix = 3:2.
Ratio of peanuts to raisins in the second version of a trail mix = 4.5:3.
Divide the ratio by 1.5.
Ratio for second mix = 3:2.
The ratios are equivalent for the two mixtures.
Hopefully this helped.
Juan invests $7500 at 6% interest in one year. How much money will he have if the interest were compounded A. yearly B. Daily C. why are the amounts in answers a and b different
Answer:
A) 7,950$, B) 7,963.73$, C) Since daily interest means that 6%/365 of 7500 will be added and compounded every day for the given amount of time(in this case, one year), while annual interest means that 6% of 7500 will be added and compounded yearly for the given amount of time(I'm this case, one year).
Step-by-step explanation:
Given the compound interest formula, A = P(1+r/n)^nt, where A = total amount(final amount), P = principle or amount of money deposited(starting amount), r = annual interest rate(percent interest in respect to t ; decimal = %/100), and n = conversion rate(number of times compounded per t; how much is it compounded)
t = time(time in respect to years ; how long it is compounded).
For A) A = 7500( 1 + 6%/365 ) ^ 365 = 7500(1 + 0.06/365) ^365 = 7500(1 + 0.00016438356..)^365= 7500(≈1.0001644^365) = 7500(100.01644%^365) = 7500(≈106.183%) = 7963.725 ≈ 7963.73$
For B) A = 7500( 1 + 6% ) ^ 1 = 7500(1 + 0.06) = 7500(1.06) = 7500(106%) = 7950$
C) this is because compounding something with a higher frequency leads to a different percentage (as n approaches infinity with time proportional to the annual rate, the ratio between the principle and total amount are proportional to e)
What is the equation of the line passing through the points (3,1) and (6,7)
Answer:
y=2x-5
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(3,1) and (6,7).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=1.
Also, let's call the second point you gave, (6,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=7.
Now, just plug the numbers into the formula for m above, like this:
m=
7 - 1
6 - 3
or...
m=
6
3
or...
m=2
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=2x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(3,1). When x of the line is 3, y of the line must be 1.
(6,7). When x of the line is 6, y of the line must be 7.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=2x+b. b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (3,1) and (6,7).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(3,1). y=mx+b or 1=2 × 3+b, or solving for b: b=1-(2)(3). b=-5.
(6,7). y=mx+b or 7=2 × 6+b, or solving for b: b=7-(2)(6). b=-5.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(3,1) and (6,7)
is
y=2x-5
a) Find the value of 8^1/3
b) Find the value of 8^2/3
c) Find the value of 16^3/4
The 3 answers are 2,4,8
a. 8 can be written as 2^3== (2^3)^1/3,
would be cancelled and answer is 2
b. (2^3)^(2/3), 3 is cancelled.
2^2= 4
c. 16 can be written as 2^4
(2^4^(3/4), 4 is cancelled,
2^3 = 8
#9 Alana made $45
babysitting for 6
hours. How much do
she make per hour?
Step 1:
Start by setting it up with the divisor 6 on the left side and the dividend 45 on the right side like this:
6 ⟌ 4 5
Step 2:
The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
6 ⟌ 4 5
Step 3:
Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.
0
6 ⟌ 4 5
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
6 ⟌ 4 5
- 0
4
Step 5:
Move down the 2nd digit of the dividend (5) like this:
0
6 ⟌ 4 5
- 0
4 5
Step 6:
The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:
0 7
6 ⟌ 4 5
- 0
4 5
Step 7:
Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:
0 7
6 ⟌ 4 5
- 0
4 5
4 2
Step 8:
Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.
0 7
6 ⟌ 4 5
- 0
4 5
- 4 2
3
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 45 divided by 6 calculated using Long Division is:
7
3 Remainder
I need the answers too these, MAJOR QUIZ GRADE !!
Answer:
the answer is B cause I just took a test with this question
Can someone please tell me the color of the pattern please
Aliyah's Bikes rents bikes for $10 plus $5 per hour. Shayna paid $45 to rent a bike. For how many hours did she rent the book?
Answer:
7 hours.
Step-by-step explanation:
To solve this problem, you have to make an equation. The equation is 45=5x+10. We have to solve for x. So you put like terms on one side, which gives you 35=5x. We divide by five on each side which gives us x=7.
Fill in the blank. If 9/24 = 3/x , then x is _____. PLS HELP!!
Answer:
8
Step-by-step explanation:
9 /3 3
-- --
24 /3 8
3x + 7 = -8
Help me!
Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,500 into her account and also saves $200 cash a year. x = number of years Aleka: f(x) = 2500(1.025)x Helene: g(x) = 1500(1.025)x + 200x Which function represents the difference, h(x) = f(x) – g(x), between the value of Aleka's and Helene's total savings after x years? h(x) = –1000(1.025)x + 200x h(x) = 1000(1.025)x + 200x h(x) = 1000(1.025)x – 200x h(x) = 4000(1.025)x + 200x
Given:
Amount in Aleka and Helene accounts represented by the following function:
Aleka: [tex]f(x) = 2500(1.025)^x[/tex]
Helene: [tex]g(x) = 1500(1.025)^x + 200x[/tex]
To find:
The function represents the difference, [tex]h(x) = f(x) -g(x)[/tex], between the value of Aleka's and Helene's total savings after x years.
Solution:
We have,
[tex]f(x) = 2500(1.025)^x[/tex]
[tex]g(x) = 1500(1.025)^x + 200x[/tex]
Now,
[tex]h(x) = f(x)-g(x)[/tex]
[tex]h(x) = 2500(1.025)^x-[1500(1.025)^x + 200x][/tex]
[tex]h(x) = 2500(1.025)^x-1500(1.025)^x - 200x[/tex]
[tex]h(x) = 1000(1.025)^x - 200x[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
select all ordered pairs that satisfy the function of y=2/3x+1.
(-3,-1)
(6,4)
(-6,3)
(3,3)
Answer:
A.
Step-by-step explanation:
Plugging in all the values into the equation, only A holds a true statement.
Where do you start counting up 1 over 3?
Answer:
it depends where your y-intercept is at
if you dont have a y-intercept then just start anywhere on the y-intercept line then u go up one then over three
Step-by-step explanation:
Find the percent decrease. Round to the nearest percent.
From 94°F to 70°F
Answer:
25%
Step-by-step explanation:
94°F-100%
70°F-x%
x%=70°F*100%/94°F=74.5%~75%
100%-75%=25%
suppose three Riders rode a total of 260 Mi if they use a total of 18 horses and rode each horse to the same number of miles how many miles did they ride before replacing the horse
Answer:
14.3 - Not entirely sure?
Step-by-step explanation:
So you first divide 260 by 3 (the riders), and if they used a total of 18 horses together you then divide them by 3 as well. You get the answer from 260 and 3 (which would be 86) also the answer from 18 and 3 (which would be 6) and divide them together (I know, lots of dividing) and there's your answer! 14.3
Carlos has a 50$ amazon gift card. He wants to buy some boxes of Halloween candy for 5.99$ each, but needs to save atleast 30$ so he can get his mom a birthday present
Answer:
he can only buy 3 boxes of candy. then he will be left over with 32.03
Step-by-step explanation:
Answer:
Carlos can buy three boxes of candy, buy his mom her present, and have two dollars and three cents left.
Step-by-step explanation:
50-30=20
20-5.99=14.01
14.01-5.99=8.02
8.02-5.99=2.03
Hope this helps!!
Can someone help me
7 + 2h = 3 + 4h
h = 2
[tex]7 + 2h = 3 + 4h[/tex]
You must isolate the variable to solve using the order of operations, or PEMDAS.
[tex]4 = 2h[/tex]
Subtract 3 from both sides of the equation, and subtract 2h from both sides of the equation.
[tex] \frac{4}{2} = h[/tex]
Divide both sides of the equation by 2.
[tex]h = 2[/tex]
A directed segment QR¯¯¯¯¯ with endpoints at Q (2, 1) and R (8, 13) is partitioned from Q to R into a 1:2 ratio at point Z. What are the coordinates of Z?
(2, 4)
(4, 5)
(6, 9)
(9, 10)
Answer:
The coordinate of the point Z is (4, 5)
Step-by-step explanation:
The given information are;
The coordinates of the endpoints of the directed segment QR are Q(2, 1) and R(8, 13)
The ratio of the partition of the directed line segment QR from Q to R = 1:2
The location of the point at the directed line segment is partitioned = Point Z
Therefore, we have;
The proportion of the partition segment QZ to QR is given as follows;
QZ = 1/(1 + 2) × QR = 1/3·QR
ZR = 2/(1 + 2) × QR = 2/3·QR
Which gives the coordinate of the point Z as follows;
The coordinate of the point Z = (2 + (8 - 2)×1/3, 1 + (13 - 1)×1/3)
The coordinate of the point Z = (2 + 2, 1 + 4) = (4, 5)
The coordinate of the point Z = (4, 5).
Rene earns $50,768 per year.
What are her weekly gross earnings?
Answer : Rena's weekly gross earnings are $976.31.
Step-by-step explanation :
As we are given total earning of Rena per year is $50,768.
Now we have to calculate her weekly gross earnings.
As we know that in one year there are 52 weeks.
That means,
1 year = 52 weeks
According to the question:
As, Rena earns in 52 weeks = $50,768
So, Rena earns in 1 week = [tex]\frac{\$ 50,768}{52}[/tex]
= $976.31
Therefore, Rena's weekly gross earnings are $976.31.
11. Jack and Jill are going tubing and it costs $50 for the first 2 hours to rent the tubes and $20 for each
additional hour. If they have $100 to spend, at most, how many hours can they rent the tubes? Set up an inequality and
solve. Don't forget to define the variable solve. DONT forget to define the variable PLEASE THIS IS DUE TODAY!
Answer:
10 dollars left, four hours of tubing
Step-by-step explanation:
can anyone help me plzzzz!! anyone smart? lol I'm checking my answers and I'll be brainlisting whoever has a try! plz:)
a) yellow jellybeans = 2g beans
b) red jellybeans = g-5 beans
c) black jellybeans = g+4 beans
hope this helps!!
