Given:
Anna completes a lap in 120 minutes.
Aman completes a lap in 240 minutes
Tina completes a lap in 60 minutes.
To find:
The time after which they will meet again.
Solution:
They all started at the same time. So, the time after which they will meet again is the LCM of time taken by them to complete a lap.
Required time = LCM(120,240,60)
Factors of [tex]120 = 2\times 2\times 2\times 3\times 5[/tex]
Factors of [tex]240=2\times 2\times 2\times 2\times 3\times 5[/tex]
Factors of [tex]60=2\times 2\times 3\times 5[/tex]
So,
[tex]LCM(120,240,60)=2\times 2\times 2\times 2\times 3\times 5[/tex]
[tex]LCM(120,240,60)=240[/tex]
Therefore, after 240 minutes they will meet again.
The graph shows a proportional relationship. Which equation matches the graph?
Answer is y=2x because when you look at graph it’s clear
Answer: y=2x
Step-by-step explanation:
QUESTION 1, Saturday, October 10th, 2020
I have some geometry questions today. Please include your thoughts or reasoning with your answer. Please ignore the answer I selected for it was not an purpose. Thanks!
Answer:
Hi in my opinion ur answer means option 2 SAS is correct
Answer:
SASStep-by-step explanation:
The triangles have one side congruent, one side common = congruent and the angle between them congruent
It is Side, Angle, Side = SAS
Mae Ling earns a salary of $360 plus a 8.0% commission on sales at a gift shop. How would she make in a week if she sold $4,900 worth of merchandise.
PLEASE HELP I WILL MARK BRAINLIEST PLEASEE
answer
757
Step-by-step explanation:
I just know made a A on the test
What is the solution to the equation 1/2x+3=2/3x+1
Answer: x=12
Step-by-step explanation: because I’m smart and in middle school
V = 1/3 πr^2h
Pls help
1:Write 2 whole numbers that are less than 941,020
Answer:
900,000500,000Step-by-step explanation:
There are lots of numbers that are less than 941,020
( Exactly 941,019 without Negative Numbers )
( If Negative Numbers are involved, it's infinity )
Hope this helps! <3
Answer:
5 and 9303 (Those are just examples)
Step-by-step explanation:
You can choose any number that is below 941,020, and hs no decimal places, so 0, 6, 930, and 90493 all work.
PLEASE HELP I AM BEING TIMED!
In the Diagram Angles B and C are_____?
Options: Right
Similar
Congruent
Obtuse
Find the answer for x.
Answer:
x=25
Step-by-step explanation:
since this is a triangle you would add up all the measure of this and set it equal to 180. 90 is the side with the box. so it would be 2x+15+x+90=180 then solve for x and you would get your answer.
domain and range of the function
A square has a perimeter of 36cm calculate the area of the square
Answer:
9 four times is 36 that is 9+9+9+9=36 finding the area we multiply two sides that is 9×9=81. 81 is the answer
Andy's phone plan charges $0.45 per text message plus a $20 monthly fee. Jeff's plan charges $0.20 a text plus an additional $35 monthly fee. Which equation can be used to determine when the phone plans will cost the same based on the number of texts?
Answer:
20+0.45x=35+0.20x
Step-by-step explanation:
From the information given, you can say that Andy's plan cost would be equal to Jeff's plan cost and then solve for the number of text to find when the phone plans will cost the same:
20+0.45x=35+0.20x, where x is the number of texts
Now, you can solve for x:
0.45x-0.20x=35-20
0.25x=15
x=15/0.25
x=60
According to this, the equation that can be used to determine when the phone plans will cost the same based on the number of texts is 20+0.45x=35+0.20x.
HELP PLS UHM 15 POINTS AND Brainliest
Answer:
(0,2)
Step-by-step explanation:
The intercept is the part of the line touching the quadrat.
Answer:
B (0,2)
Step-by-step explanation:
Because if its on the red line on the y axis its 2.
You are buying packages of beads to make bracelets. Each package costs $3 plus 7% tax. You have a gift card for $15, and you plan to use only the gift card to pay for the beads. Which function c(p) represents the total cost, where p represents the number of packages of beads you purchase? What is a reasonable domain?
A. c(p) = 3.21p − 15; {0, 1, 2, 3, 4}
B. c(p) = 3.21p; all nonnegative integers
C. c(p) = 0.07(3p − 15); all nonnegative integers
D. c(p) = 1.07(3p); all nonnegative integers
Answer:
A
Step-by-step explanation:
You must multiply the number your buying by the price then you need to multiply by 1.07 because you need 7% or .07 to get the tax but you want to add that to the old number so you need a 1 in front so the answer is c(p) = 1.07(3p) however you still need the $15 gift card so instead you add the 7% into the three dollars you are multiplying by the number then subtract the 15 dollars because you aren't really paying. The reasonable domain is 0 1 2 3 4 because the number 5 would be over the 15 dollar limit.
Jacob's job pays him $12.50 per hour. Which equation can be used to find Jacob's salary,
y, if he works for x hours? *
(5 Points)
A. y = x/12.50
B.y = 12.50 + x
.
C.y = 12.50 - x
D.y = 12.50x
Answer:
D
Step-by-step explanation:
BECAUSE the number of hrs he works his salary multiplies
hope this helps..
HELP ASAP!
Imagine two lines intersect how can the properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines explain
Because vertical angles always equal each other. linear pairs always equals 180 degrees always. hope this helps :)
More than question on this check my page for more and please give me step for step thanks
Answer:
the angle measures of 14° and x° are adjacent angles that makes the right angle. Therefore the sum of the angle is 90. This then gives x+14=90 x=76
AND OMG HIII ARMY !
1. − p + 6p ≤ 4 + 6p
Step-by-step explanation:
-p + 6p <_ 4 + 6p
5p <_ 4 + 6p
-4 <_ p
-4 less than or equal to p
Each day, a bakery makes 50 loaves of
wheat bread. If that amount is 20%
of all the bread that they bake, how
many loaves do they bake each day?
worth (10)
Answer:
It would be a total of 500 loaves per day.
Step-by-step explanation:
20% = 1/5.
50 x 5 = 500
(i eliminated the numerator.)
At the end of the day, Mr. Díaz drains the pool. The equation
y = -50x + 300 can be used to find y, the number of gallons of
water left after draining the pool for x minutes. Graph the
equation. How long does it take to drain the pool? Explain.
Answer: 6 minutes.
Step-by-step explanation: You can use a graphing calculator to see the exact graph, but you're trying to figure out what value of x gives you a y of 0. -50 times 6 is 300, plus 300 equals 0.
The graph of the equation y = -50x + 300 is a straight line, and plotted below. The time it take the pool to drain, according to this equation, is 6 minutes.
How do we make graph of a function?Suppose the considered function whose graph is to be made is f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values f(x) are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
For this case, we're specified that:
y = the number of gallons of water left after draining the pool for x minutes.The relationship between x and y given is: y = -50x + 300Take two different values of x, let it be 0 and 1.
Then, the value of y we get is:
Case 1: x = 0:[tex]y = -50x + 300\\y = -50 \times 0 + 300\\y = 300[/tex]
Thus, one point on the equation y = -50x + 300 is (0,300)
Case 2: x = 1:[tex]y = -50x + 300\\y = -50 \times 1 + 300\\y = 300 - 50 = 250[/tex]
Thus, another point on the equation y = -50x + 300 is (1,250)
Plot these points taking x on horizontal and y on vertical axis. Then join those two points by a straight line. This is the graph of the considered equation as equation of type [tex]y = mx +c[/tex] is a straight line's equation and for straight line, two of its points are sufficient to plot it.
The graph is given below.
Since we know that:
y = number of gallons of water left after draining the pool for x minutes,
so when the pool drains of fully, there will be no water left, or y = 0.
Putting y = 0 in the equation y = -50x + 300, we get:
[tex]y = -50x + 300\\0 = -50x + 300\\\\\text{Adding 50x on both the sides}\\\\50x = 300\\\\\text{Dividing both the sides by 50}\\\\x = \dfrac{300}{50}= 6[/tex]
Thus, when y= 0, we get x = 6, so when the fully filled pool is drained for 6 minutes, the whole pool gets drained (for this case).
Thus, the time it take the pool to drain, according to this equation, is 6 minutes. The graph of the equation y = -50x + 300 is given below.
Learn more about graphing functions here:
https://brainly.com/question/14455421
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Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in
dollars for ordering 5 tickets is $108.00. Which linear function represents , the total cost, when x tickets are ordered?
c(x) = 5.50 + 20.50x
c(x) = 5.50x + 20.50
c(x) = 5.50 + 21.60x
c(x) = 5.50x + 21.60
Answer:
The correct linear function is c(x) = 5.50 + 20.50x.
Step-by-step explanation:
It's a linear function, so that means it uses y=mx+b. It says "per ticket" which means that the ticket cost is the slope, or m, of the equation. The service fee would be added on as a one-time fee, making it the y-intercept, or b. In order to find the cost of the tickets, you had to subtract the service fee from the total cost, then divide by how many tickets were purchased. You can set this up by plugging in what you know.
[tex]108=5.50+5x[/tex]
Subtract the 5.50 from both sides, leaving us with:
[tex]103.50=5x[/tex]
Now, this equation tells us how much 5 tickets cost, but we want how much it is per ticket. That means now we have to divide both sides by 5:
[tex]20.50=x[/tex]
Thus, one ticket is $20.50.
[tex]c(x)=5.50+20.50x[/tex]
The linear function is c(x) = 5.50x + 20.50
Let the cost of the tickets be represented by x
Therefore, 108 = 5.50 + 5x
Collect like terms
5x = 108 - 5.50
5x = 103.50
Divide both side by 5
5x/5 = 103.50/5
x = 20.50
Therefore, a ticket costs $20.50
In conclusion, the total cost, when x tickets are ordered will be c(x) = 5.50x + 20.50.
Read related link on:
https://brainly.com/question/17886283
The expression 3/8z + 1 factored is
Answer:
Factored out is 1/8
Step-by-step explanation:
3z+8/8
Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?
11
17
33
99
Answer: 11
Step-by-step explanation:
it takes 3 mins to do one husk so we divide 33 by 3 =11
I know I takes 3 mins for one because I divided 24 by 8.
Answer:
99
Step-by-step explanation:
cuz
Credit card A is running a promotion where they will charge 0% interest for the first year, and then 0.8% compounded continuously after that. Credit card B has an interest rate of 0.7%, also compounded continuously. If you are going to make a $500 purchase and plan to not make a single payment for 2.5 years, which credit card should you go with? Write the equation showing the total balance at the end of 2.5 years for that card. How much money invested at 5% compounded continuously for 3 years will yield $820
Answer: 0.1
Step-by-step explanation:
your going to substact credit card a and b and then what ever you get will be your answer
Maria makes $6.00 an hour plus 5% commission for telephone sales. Yesterday, Maria worked 8 hours and had sales of $600.00. How much did Maria make yesterday? Explain your answer.
Answer:
88 dollars
Step-by-step explanation:
8 x 6 = 48 dollars (hours)
600 x .05 = 40 (commissions)
48 + 40 = 88 total dollar
Answer:
End of Unit Project: Mathdonalds, Chez Mathématiques, and Was 7×3, Is 10 + 11, Always Will Be 30 – 9.
Step-by-step explanation:
Simplify. - (2b - 4)
Show work
PLEASE HELP
Answer:
-2b+4
Step-by-step explanation:
we are multiplying by a negative 1 in the expression.
-1(2b-4)
-2b+4
*negative multiplied by a negative makes a positive
Hope this helps!
retail store purchases a couch for $600 and marks it up 25% to sell. How much is the retailer asking for the couch?
Answer:
$750
Step-by-step explanation:
To find the new price, multiply the original price by 1.25, since there is a 25% increase in the price:
600(1.25)
= 750
So, the retailer is asking for $750 for the couch
Emily sold 140 boxes of cookies for a fundraiser. If she sold 80% of the total number of boxes sold for the fundraiser, how many total boxes of cookies were sold for the fundraiser?
Answer:
175
Step-by-step explanation:
140 is 80% of 175
what property is 4x + 8 = 28
Answer:
x=5
Step-by-step explanation:
4x + 8 = 28,
it's rather straight forward,
you would subtract 8 from the left side,
doing the same on the right.
now you have
4x = 20
x= 20/4
x=5
hope this helps.
3/0.8 = z/5.6
Solve for z
3 / 0.8 = z / 5.6
To find z, we need to isolate z. How can we do this? Right now, we know z / 5.6 is equal to 3 / 0.8.
To isolate z, we should multiply by 5.6 on each side.This will cancel the divide by 5.6 or the 1/5.6 on the right side to isolate z!
(3 × 5.6) / 0.8 = z
16.8 / 0.8 = z
All we have to is simplify!
z = 21
Explain how do you know whether the relationship between two quantities is a proportional relationship. *