Suppose LCM(a,b) = 20160, a=60. Find the smallest possible value of b.
Answer:
see below
Step-by-step explanation:
given:
LCM(a,b) = 20160, a=60
find:
smallest possible value of b
solution;
60, b = 20,160
b = 20,160 / 60
b = 336
60 x 336 = 20,160
= 2⁶ x 3² x 5 x 7
= (2² x 3 x 5) x (2⁴ x 3 x 7)
= (60) x (336)
LCM(60,336) = 1680
consider the 2² x 3 to get the prime number:
= 336 x 12
= 4032
therefore,
LCM(60,4032) = 20160
The smallest possible value of b is 336.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
We have been given that
LCM(a,b) = 20160 and a = 60
We have to determine the smallest possible value of b
Since the product of two numbers equals the product of their HCF and LCM.
⇒ 60 × b = 20,160
⇒ b = 20,160 / 60
⇒ b = 336
⇒ 60 × 336 = 20,160
We need to write 20160 as the product of its prime factors, which is 20160.
⇒ 2⁶ × 3² × 5 × 7
⇒ (2² × 3 × 5) x (2⁴ × 3 × 7)
⇒ (60) × (336)
⇒ LCM(60,336) = 1680
Therefore, the smallest possible value of b is 336.
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Combine like terms
3x + 2x + 11y - 7y
Help
Answer:
5x + 4y
Step-by-step explanation:
3x + 2x = 5x
11y - 7y = 4y
can you help me please!!!!
please!!!! :)
Answer:
Qn.1
{4,5,6,7,8,9,12,15,16}is ans of 1
{8,9}is ans of 2
{4,5,6,7,8,9,18,20}is ans of 3
{}Is the ans of 4
{8,9,12,15,16,18,20}is ans of 5
{}is ans of 6
{4,5,6,7,8,9,12,15,16,18,20} is ans of 7
{8,9,12,15,16} is ans of 8
Qn.2
{0,12}is ans of 9
{0,2,10,12}is ans of 10
{0,4,6,8,12}is ans of 11
{2,4,6,8,10}Is ans of 12
{}is ans of 13
{0,12}is ans 14
{0,12} is ans 15
{0,2,10,12} is ans of 16
{0,12} is ans of 17
{0,12} is ans of 18
{2,10} is ans of 19
{4,6,8} is ans of 20
I haven't made the symbol of union and intersection because i don't how to make.
it may help you at your work
Gabby bought 5.15 kg of apples and 1.6 kg of oranges how much fruit did she buy in all
Answer:
6.75kg of fruit
Step-by-step explanation:
5 + 1 = 6
.15 + .6 = .75
6 + .75 = 6.75
Answer:
6.75
Step-by-step explanation:
Add 5.15 and 1.60
5.15
1.60
6.75
ASAP!!! I WANT MORE THAN 1 PERSON TO ANSWER THIS!!!
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.
Segment EF is twice as long as segment AB.
True/false
B. Segment CD is twice as long as segment FG.
True/false
C. The measure of angle HEF is twice the measure of angle DAB.
True/false
D. The length of segment EH is 16 units.
True/false
E. The measure of angle BCD is the same as the measure of angle GFE.
True/false
Answer: True, False, False, True, False
Step-by-step explanation:
Since the two quadrilaterals are similar, for question A your answer of True is correct since EF would scale to be twice as long as AB. For the second question the reverse logic applies. For Question C EH is 16 units since 8x2 is 16. For the last question, since BCD does not corresponds to GFE, it is false. Angle BCD has a vertex at point C and GFE has a vertex at point F. Since C does not correspond to F, the angles are not the same.
Solve using the multiplication principle. -80>16x
Answer:
-5 > x
Step-by-step explanation:
-80>16x
Divide each side by 16
-80/16>16x/16
-5 > x
357,335 rounded to the nearest ten
Answer:
357,340
35 is the tens place, and if it is 5 or larger we round up to in this case, 40
Answer:
357340
Step-by-step explanation:
It is 2.1 km from Mary's house to the nearest mailbox. How far is it in meters?
It is 2.1 km from Mary's house to the nearest mailbox.
To Find:How far is it in metres.
Conversion:1 km = 1,000 m
2 km = 2 × 1,000 = 2,000 m
Solution:2.1 km = ( 2,000 + 100 ) m = 2,100 m
Answer:2,100 m
Therefore, It is 2,100 metre far away from Mary's house.
A class has 6 boys and 14 girls. What is the ratio in simplest form?
Answer: If your doing the ratio of boys to girls, it would be 6:14. Simplified- 3:7
Step-by-step explanation:
The factors of 6-1,2,3,6
The factors of 14-1,2,12,14
The common factor of the two #’s is 2 so you would divide both of them by that number. 3 and 7 are prime numbers so you can’t simplify the ratio anymore.
Convert 4 meters to inches
Answer:
157.48
Step-by-step explanation:
1 metre = 39.37 inches(Approx.)
=> So, 4 metres= 4 * 39.37 = 157.48
Answer:
158in
Step-by-step explanation:
1m = 39.37
So,
4m = 4*39.37
= 157.48 = 157.5 = 158in
Select all the statements that are true.
Answer:
Sqrt(7) is irrational because 7 is not a perfect square.
7.1234... is irrational because it is a nonterminating nonrepeating decimal.
Step-by-step explanation:
A rational number is a number that can be expressed in terms of fractions which result in terminating decimals, repeating decimals, or integer values.
An irrational number is a number that cannot be expressed in terms of fractions resulting in nonrepreating nonterminating decimals.
All options other than the two selected do not make sense. Pi is irrational because it is a nonrepeating nonterminating decimal.
Cheers.
Calvin's credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14.75%. The following table details Calvin's transactions in the month of September. Date 9/1 Amount ($) Transaction 716.54 Beginning balance 84.94 Purchase 977 9/12 Purchase 15.69 200.00 9/20 Payment What will Calvin's starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52
Answer:
c. 625.91
Step-by-step explanation:
took the quiz an got 100%
The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.
We have:
His card has a billing cycle of 30 days and an APR of 14.75%.
Here the list data is not mentioned, clearly. Transactions with the amount.
As we know, the APR is the annual percentage rate, which is 14.75%.
Monthly percentage rate = 14.75/12 = 1.22%
But we can calculate the new balance with the formula:
Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance
Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
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Add parentheses to the equation below so that x = 90. 3 + 2^2 /4 - 10 = x
Answer:
(3+2)²*4-10=x
Step-by-step explanation:
If it was a typo and is actually times 4, not divided by 4, then here is the answer:
(3+2)²*4-10=x
5²*4-10=x
25*4-10=x
100-10=x
90=x
If it actually was divided by 4, I don’t see any way it can be done.
Answer:
B
Step-by-step explanation:
(3+2)²*4-10=x
Last week, Benjamin spent $82.80 on groceries and $132.48 on bills. The amount he spent on groceries
was 15% of his paycheck. What percent of his paycheck did Benjamin spend on bills?
Answer:
amount spend on groceries = 82.80
percent spend in groceries = 15%
let total paycheck be x
15%of x= 82.80
x=552
percent spend on bills = 132.48/552 = 24%
Step-by-step explanation:
What is the density of Iron Ore (Hematite)? Mass = 30g: Volume = 3.02
cubic cm. Round to TWO decimal places.
Answer:
9.93g/cb cm
Step-by-step explanation:
Density = mass/volume
= 30g/3.02cb cm
= 9.93g/cb cm
Calculate the average speed between 120 s and 160 s
Average Speed = Total Distance / Total Time
Given:Total Distance = 150 m
Total Time = 160 - 120 = 40 s
To Find:Average Speed
Solution:Average Speed = 150/40
Average Speed = 3.75 m/s
Answer:3.75 m/s
The temperature at 7:00 a.m. was -5°F. By 4:00 p.m., the temperature had risen 9
degrees and by 10:00 p.m. the temperature dropped 11 degrees. What was the
temperature at 10:00 pm?
4°F
- 16°F
O
-7°F
25°F
Answer:
The answer is -7 degrees. :)
Step-by-step explanation:
-5+9-11=7
Answer:
I would say -7 degrees
Step-by-step explanation:
Round to the nearest cent.
$24.373
Answer:
$24.400
Step-by-step explanation:
it means you should round to hundredth place
$24.37
How many quarts of pure antifreeze must be added to 5 quarts of a 40% antifreeze solution to obtain a 50% antifreeze solution?
Answer:
2 quarts of 100% antifreeze.
Step-by-step explanation:
5 quarts/ .40 * x/ 1
.40x= 5
x=2
2 quarts of pure antifreeze must be added to 5 quarts of a 40% antifreeze solution to obtain a 50% antifreeze solution.
Looking at the concentrations.
100% of x quarts is x quarts of antifreeze.
30% of 5 quarts is .3(5) quarts antifreeze.
Adding that we have 5+x quarts and we want
50% of that to be antifreeze so the total is
.5(x + 5)
x + .3(5) = .5(5+x)
x + 1.5 = 2.5 + .5x
x - .5x = 2.5 - 1.5
.5x = 1
x = 1/.5 = 2 quarts pure antifreeze.
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21 +3+ (3 x 9) * 9+5
Answer:
272
Step-by-step explanation:
Do you need this?
Answer:
272
Step-by-step explanation:
10x + 36 = 8x -36
What is x?
Answer:
x= -36
Step-by-step explanation:
Hope this helps.
Answer:
[tex]x = -36[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] :
[tex]10x + 36 = 8x - 36[/tex]
-Subtract [tex]8x[/tex] from [tex]10x[/tex] :
[tex]10x - 8x + 36 = 8x - 8x - 36[/tex]
[tex]2x + 36 = -36[/tex]
-Subtract both sides of the equation by [tex]36[/tex] :
[tex]2x + 36 - 36 = -36 -36[/tex]
[tex]2x = -72[/tex]
-Take [tex]2x[/tex] divide it on both sides:
[tex]\frac{2x}{2} = \frac{-72}{2}[/tex]
[tex]x = -36[/tex]
So therefore, the value of [tex]x[/tex] is [tex]-36[/tex].
Izzy is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 500
miles per minute to travel to the moon? Round to the nearest hour
8 hours
20 hours
478 hours
28,680 hours
Answer:
478 hours
Step-by-step explanation:
You would divide 239,000 by 500.
what is the area of a small triangle.
Answer:
u can figure it out by using the formula 1/2 the base x height
Step-by-step explanation:
Answer:
to find the area of a triangle you will do A(area)=h(height)times b(base) over 2
6(2x-3)-8=-2
Solve for x! Tyy
Answer:
x=2
Step-by-step explanation:
use distributive property for the first part the solve like usual
hope this helped
6(2x -3) - 8 = -2 (remove the parantheses)
12x - 18 - 8 = -2 (calculate)
12x - 26 = -2 (move the constant to the right)
12x = -2 + 26 (calculate)
12x = 24 (divide both sides)
x = 2
A man’s age today is three years less than four times the age of his oldest daughter,Let a represent the daughters age.Write an equation to match the scenario.
What are the values of the two 3s in 3,435?
Answer:
The first 3 is in the thousandths place. it is worth 3 thousand. The second 3 is in the tenths place. It is worth 30.
Answer: 3,435
Least place value to largest largest place value-
5-ones place
3-tens place
4-hundreds place
3-thousands place
I hope that worked!
Find two consecutive integers whose product is 12.
A recipe says that 2 cups of dry rice will serve 6 people. How many cups of rice are needed to serve 45 people?
(Please Help)
Answer:
7.5 cups pf rice
Step-by-step explanation:
45 divided by 6
root 25-2(3+4*(-2)) whole square
Answer:
-45.
Step-by-step explanation:
I am assuming you mean
√25 - 2(3 +4(-2))^2
= 5 - 2(3-8)^2
= 5 - 2 * (-5)^2
= 5 - 2*25
= -45.
The Cubs have won
7 out of their last 11
games. What's the
ratio of games lost to
games played?
First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.
Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.
I hope you find this helpful :)