B. In 36 minutes because 12×3=36 and 9×4=36 and this is the first number they share.
The A train and the E train will both leave the station together again in 36 minutes. Hence the correct option is B.
To find out when both the A train and the E train will leave the station together again, we need to calculate the Least Common Multiple (LCM) of their departure intervals, which are 12 minutes for the A train and 9 minutes for the E train. To find the LCM, we list multiples of each:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108...
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108...
We can see that the common multiples of 9 and 12 are 36, 72, and 108. The smallest of these is 36 minutes, so that is the first time they will both leave the station together after initially departing at the same time.
Therefore, the correct answer is B. in 36 minutes.
Which equation represents a linear function?
Equation 1: y3 = 2x + 1
Equation 2: y = 3x + 1
Equation 3: y = 5x2 − 1
Equation 4: y = 4x4 − 1
a Equation 1
b Equation 2
c Equation 3
d Equation 4
Answer:the answer is the second one :)
Step-by-step explanation:
Adding and Subtracting Fractions. Solve each problem.Write your answer as a mixed number if possible.
1.4 2/7 - 2 1/5
2.5 7/8 + 11/4
3.5/8 - 2/5
4.16/5 + 2 1/2
The answers are 2 3/35, 8 5/8, 9/40, and 5 7/10 respectively.
Here are step-by-step solutions to your problems:
4 2/7 - 2 1/5:
convert to improper fractions (30/7 - 11/5),
find a common denominator (150/35 - 77/35),
subtract to get 73/35, which simplifies to 2 3/35.
5 7/8 + 11/4:
convert to improper fractions (47/8 + 11/4),
find a common denominator (47/8 + 22/8),
add to get 69/8, which simplifies to 8 5/8.
5/8 - 2/5:
find a common denominator (25/40 - 16/40),
subtract to get 9/40.
16/5 + 2 1/2:
convert to improper fractions (16/5 + 5/2),
find a common denominator (32/10 + 25/10),
add to get 57/10, which simplifies to 5 7/10.
How to find lowest common multiple of numbers?!?
To find the LCM of numbers, identify the prime factors, and multiply the highest power of each prime factor together.
Explanation:To find the lowest common multiple (LCM) of numbers, you need to identify the prime factors of each number and then multiply the highest power of each prime factor together. Here's an example:
Let's find the LCM of 6 and 9:
Prime factors of 6: 2 x 3 x 3Prime factors of 9: 3 x 3Highest power of 2: 2Highest power of 3: 3LCM of 6 and 9: 2 x 3 x 3 = 18So, the LCM of 6 and 9 is 18.
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A cream company advertised that 3 out of every 24 boxes of cereal had a prize inside. What is the ratio of boxes with prizes to boxes with no prizes?
A) 1:7
B) 1:8
C) 7:1
D) 8:1
Explain the proof
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Please help I will mark as the brainleist answer!!!! Thanks for 14 points
The ratio of cereal boxes with prizes to without prizes in this scenario is 1:7, which is option A. This is calculated by dividing the number of boxes with and without prizes by the smallest number (3), resulting in the simplified ratio.
Explanation:The subject of this question is about understanding mathematical ratios, specifically in the context of a cereal box prize scenario. Here, we are asked to find the ratio of boxes with prizes to boxes without prizes. If 3 out of 24 boxes contain a prize, that means 21 boxes are without a prize.
To find the ratio of boxes with prizes to boxes without prizes, we divide both numbers by the smallest one, which is 3, the number of boxes with prizes. Hence, the ratio is 3:21, which simplifies to 1:7 (since both numbers are divisible by 3). Therefore, the answer to this question is Option A, 1:7.
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if you have a 2 digit divisor and a three digit dividend does the quotient always have the same number of digits
Multiply 39.341 × 0.72 = _____
expression is equivalent to −4.6+(−0.4)+(−7.2)−4.6+(−0.4)+(−7.2) ?
The expression −4.6+(−0.4)+(−7.2)−4.6+(−0.4)+(−7.2) combines all the like terms for a result of −24.4. You simply add and subtract the negative numbers in pairs and then combine the results.
Explanation:The mathematical expression in question is −4.6+(−0.4)+(−7.2) −4.6+(−0.4)+(−7.2). This appears to be a straightforward question of addition and subtraction involving negative numbers.
To find the equivalent expression, we can group the like terms and add or subtract them accordingly.
Let's first simplify the expression
−4.6 + (−4.6) = −9.2,−0.4 + (−0.4) = −0.8,(−7.2) + (−7.2) = −14.4.Now, summing up these results gives us:
−9.2 + (−0.8) + (−14.4) = −9.2 −0.8 −14.4 = −24.4.
The equivalent expression for −4.6+(−0.4)+(−7.2)−4.6+(−0.4)+(−7.2) is simply −24.4.
When making a peanut butter and jelly sandwich, 96% of people put the peanut butter on first . write 96% as decimal
the circumference of a clock is 22 inches . What is the radius of the clock?
Answer: Radius of the clock is 3.5 inches.
Step-by-step explanation:
Since we have given that
Circumference of a clock = 22 inches
We need to find the radius of the clock.
As we know the formula for "Circumference":
[tex]C=2\pi r\\\\22=2\times \frac{22}{7}\times r\\\\\frac{7}{2}=r\\\\r=3.5\ inches[/tex]
Hence, radius of the clock is 3.5 inches.
Feathers is ready to show off a coin trick. What is the probability of flipping heads on a coin and then flipping the coin again and getting heads?
The probability of flipping heads on a coin and then flipping the coin again and getting heads is 0.25 or 25%.
Explanation:To find the probability of flipping heads on a coin and then flipping the coin again and getting heads, we need to multiply the probabilities of each event. The probability of flipping heads on a fair coin is 0.5. Since each flip of the coin is independent, we can multiply the probabilities together: 0.5 * 0.5 = 0.25. Therefore, the probability of flipping heads on a coin and then flipping the coin again and getting heads is 0.25 or 25%.
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in my piggy bank 70% of the coins were dimes. your piggy bank has three times as many coins as mine, and 75% of them were dimes. When the contents were combined, what percent of the coins were dimes?
A route up a mountain is 20 km long john followed this routeat the average speed of x km/h a)Write down an expression in trems of x for a number of hours he tooks to walk up the mountain b)he came down the mountain by a different route the lenght ofthis route was 25 km his average speed coming down the mountain was2 m per hour greater then his average speed going up the mountainwrite down an expression in terms of x for the number of hours hetook to walk down c)if took john one and half hours less to come downthen to go up write down an equation in x and show that itsimplifies to 3x^2+16x-80-0
but hope u have a answer: )
3 different expressions using 2,3,6,8 to equal 28
We are required to find 3 different expressions using 2,3,6,8 to equal 28
The 3 different expressions using 2,3,6,8 to equal 28 are (6 × 3) + 8 + 2, (8 × 2) + (6 × 2) and (8 × 3) + (6 - 2)
Given numbers:
2,3,6,8
Expression 1:
(6 × 3) + 8 + 2
= 18 + 8 + 2
= 28
Expression 2:
(8 × 2) + (6 × 2)
= 16 + 12
= 28
Expression 3:
(8 × 3) + (6 - 2)
= 24 + 4
= 28
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What is 7/8 of a hour subtracted by 1/5 of 7/8 of a hour?
Solve -8/5 x - 6 = -54
candace help out at the library after school. The head librarian tells her that there are 2,160 books in the children's section of the library. Candace also notice that there are 3 groups of 3 bookcases in the children's section and each bookcase has 6 shelves. How many books are on each shelf if each shelf has the same number of books on it.
use breaking apart to find the product for 9 times 36
HELP!! PLEASE!!! THIS IS DUE TOMORROW
what percent of 29 is 3?
whats 287,002 in expanded form
what is the missing base 256 = ^4
Which of the following expressions is equivalent to -5.4 - (2.1 + 1.8)?
-5.4 + -(2.1 + 1.8)
-5.4 + (-2.1 + 1.8)
-5.4 - (-2.1 - 1.8)
-5.4 - (2.1 - 1.8)
Answer:
-5.4 - (2.1 + 1.8)
Step-by-step explanation:
what is 8.64 ÷ by 0.01
Manny makes dinner using 1bix of pasta and 1 jar of souce.if pasta is sold in packages of 6 boxes and spice is sold in packages of 3 jars,what is least number of dinners that many can make without any supplies leftover.
if the ones digit of a number greater than 1 is 0 what factor or factors must that number have?
Please help me with 17-18
How does an estimated product relate to the actual product? explain.
The estimated product is the predicted value of the product while the actual product gives the calculated value.
Given that,
To discuss how an estimated product relates to the actual product.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Estimated product is the simplified value of the product not by calculation but predicted while the actual value of the product is calculated value, here the estimated value of the product lies near by the actual value of the product or sometimes equal.
Thus, the estimated product is the predicted value of the product while the actual product gives the calculated value.
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Which ordered pair is the solution to the system of equations? {2x−y=−5x+3y=22{2x−y=−5x+3y=22 (7, 19)(7, 19) (8, 21)(8, 21) (4, 9)(4, 9) (1, 7)
2.45 + = 3
What do I add to get to three. Is it 15 ???
A lawn had an area of 35 square feet. If it was 7 feet width, how long was it?
When, a lawn had an area of 35 square feet. If it was 7 feet width. Then, the length of the lawn will be 5 feet.
We, can use the area formula for a rectangle, which is area = length x width.
Given the area of the lawn is 35 square feet and the width is 7 feet, we can set up the equation:
Area = Length x Width
35 sq ft = Length x 7 ft
To find the length, you would divide the area by the width:
Length = Area \ Width = 35 sq ft / 7 ft = 5 ft
Therefore, the length of the lawn is 5 feet.