The least common multiple that is divisible by both a and b is the smallest positive integer. The soonest both ships will leave London together again is after 48 days.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Given that Two ships sail between New York and London. One makes the round trip in 12 days. The other takes 16 days.
Now, to know the number of days in which the two ships will start their journey together again you need to take the LCM of the time they take to complete the trips.
The factors of the two numbers are,
12 = 3 × 2 × 2 × 1
16 = 2 × 2 × 2 × 2 × 1
Since LCM should contain every factor of the two numbers, therefore, the LCM of the two numbers will be,m
LCM = 3 × 2 × 2 × 2 × 2 × 1 = 48
Therefore, the soonest both ships will leave London together again is after 48 days.
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what is -3x + b = 6x . Solve for x
Me. Driscoll has 9 reports to grade. There are 6 page for each report. He grades 12 pages. How many pages does he still have to grade?
What is the sum of -7/18 and -3/6
a.) -4/9
b.) - 8/9
c.) 4/9
d.) 8/9
Answer:
-b) -8/9
Step-by-step explanation:
Answer:
The correct Answer is B.) -8/9
Step-by-step explanation:
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What are the domain and range of the function?
X Y
-2 -8
-1 -1
0 0
1 1
2 8
3 27
Answers:
A.
Domain: {0, 1, 2, 3, 8, 27}; Range: {–8, –2, –1}
B.
Domain: {–2, –1, 0, 1, 2, 3}; Range: {–8, –1, 0, 1, 8, 27}
C.
Domain: {–2, –1, 0, 1, 8, 27}; Range: {–8, –1, 0, 1, 2, 3}
D.
Domain: {–8, –1, 0, 1, 8, 27}; Range: {–2, –1, 0, 1, 2, 3}
the line parallel to 3x + y = 8 that passes through (0, -4)
2/5ab What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 2 5 2 5 a b
In 2007, the population of North America was approximately 5.15 x 10^8 people and the population of South America was approximately 3.04 x 10^8 people. What is the combined population of North and South America for this year?
A) 8.19 x 10^16 people
B) 8.19 x 10^9 people
C) 8.19 x 10^8 people
D) 8.19 x 10^64 people
What is the value of expression? 57.8 x 64 HELP PLEASE ASAP
Perform the following calculation: (–16) – (–42)
If a 25 foot tall tree cast a 15 foot shadow, what is the height of a tree if it’s shadow is 6 feet long
set this up as a ratio
25 ft tree / 15 foot shadow = X ft tree / 6 foot shadow
25/15 = X/6
cross multiply:
150 / 15x
x = 150/15 = 10
the tree is 10 feet tall
Please help me please. What is the slope of a line perpendicular to the line whose equation is 5x-2y=11?
Find the take-home percent of the gross pay: net pay $453.10, gross pay$734
50%
16%
162%
62%
Answer:
Option D. 62%
Step-by-step explanation:
Net pay = $453.10
Gross pay = $734.00
We have to find the take-home percent of the gross pay.
We will divide net pay by gross pay and multiply by 100.
Percent of the gross pay = [tex]\frac{453.10}{734}\times 100[/tex]
= 0.617302452 × 100
= 61.73 ≈ 62%
The take-home percent of the gross pay would be 62%.
Which pair represents equivalent ratios? 2/3 or 9/15
On two tests so far this year, a student received a 78 and a 93. The student wants an average between 80 and 90 inclusive. What are all of the possible scores for the third test so that the student falls within this average?
The dance committee has 1036 flowers.They want to divide the flowers evenly among 28 centerpieces.How many flowers will be in each centerpiece? A 28 B 34 C 37 D 40
A passenger train has 15 cars that each hold the same number of passengers. The train is filled with 1,020 passengers. How many passengers does each car hold?
Enter M for multiplication or D for division.
Denny rode his bicycle miles in the morning. Then he rode miles in the afternoon. How far did he ride his bicycle altogether?
I need to know all of these
Beth bought a T-shirt for $14.98 and a pair of shorts for $23.59. How much did Beth spend?
Answer:
38.57
Step-by-step explanation:
-2(v+5)-4v
use the distributive property to simplify.
PLS help!
Dallison cooked a 5-pound roast for supper. What is the estimated mass in grams
Which expression equals -(9x + 8) - 2(x -5)
Denise finished the race in 5.93 minutes.If Tara took 4.6 times as long to finish the race, how many minutes did it take her to finish?
is xy=6 a linear equation
What is 5 units away from (-1, -2)
Answer:
Step-by-step explanation:
There's a whole family of points.
(x + 1)^2 + (y + 2)^2= 25
The above is an equation that represents a circle.
Three points are marked below 2 of which are easily seen to be 5 units away from the center (-1,-2)
Dev knows he only has 8 gallons of gasoline in the tank he wants to go on a 300-mile trip will he have to buy more gasoline?
factor out the coefficient of the variable 1/4 y + 3/8
Multiply: 2 4/5 x -5 2/3
Polynomial Or Not a polynomial?
1) x4+3x3−5x2−7x+20
2) x3−2x2+x−12
3) x2+3x5−6x+12x3
4) x−3−x−2−6x−1+84x√3−x√−20
5) 4x√3−x√−20
6) 5x3−1x2+8x−40
Select "P" for Polynomial and Select "NP" for Not a Polynomial when answering
The currency in Argentina is the Peso. The exchange rate is approximately $3 = 1 Peso. At this rate, how many Pesos would you get if you exchanged $121.10?
The Pesos you would get if you exchanged $121.10 using an exchange rate of $3 = 1 Peso, you can set up a proportion and solve for x.
Explanation:To calculate how many Pesos you would get if you exchanged $121.10 at an exchange rate of $3 = 1 Peso, you can set up a proportion:
$3 / 1 Peso = $121.10 / x Pesos
Cross multiply to solve for x:
$3 * x = $121.10 * 1
x = $363.30
Therefore, you would get 363.30 Pesos if you exchanged $121.10 at the given exchange rate.
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