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.
Learn more about the Prime Factorization here:
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I need help on. this question. (3x^6)^3 the answer must have one exponent
Answer:
[tex]27x^{18}[/tex]
Step-by-step explanation:
[tex]\left(3x^6\right)^3[/tex]
Separate [tex]3x^6[/tex]:
[tex]3^3\times\left(x^6\right)^3[/tex]
[tex]27\times\left(x^6\right)^3[/tex]
[tex]27x^{6\times3}[/tex]
[tex]27x^{18}[/tex]
Solve the equation x-3=23
X=
Answer:
26
Step-by-step explanation:
26 - 3 = 23
hope this helps
Answer:
x = 26
Step-by-step explanation:
x-3=23
Add 3 to each side
x-3+3=23+3
x = 26
is 1 (b+6) equivalent to (b+6)
Answer:
Yes.
Step-by-step explanation:
Step 1: Write out expressions
1(b + 6) = b + 6
Step 2: Distribute 1
b + 6 = b + 6
what value of x makes this equation true X over 3 = 24
Answer:
x=72
Step-by-step explanation:
Start with [tex]\frac{x}{3}[/tex]=24
Using the multiplication property of equality, multiply each side by 3
x=72
Water cost $1.25 per bottle. At this rate, what is that cost of 50 bottles?
Answer:
$62.5 is the answer
Step-by-step explanation:
gimme brainly pls :3
Answer:
50 × $ 1.25
mutiply it you will get your answer.
Find the measurement
Answer:
RS = 2.4 cm
Step-by-step explanation:
given:
ST = 1.6cm
RT = 4 cm
RS + ST = RT
plugin values into the equation:
RS + 1.6 = 4
RS = 4 - 1.6
RS = 2.4 cm
Evaluate 5^-4. Write your answer as a fraction in simplest form
Answer:
exact form = 1/625
decimal form = 0.0016
The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
From the question,
We are to evaluate 5^-4.
First, we will write the expression properly.
The given expression is 5⁻⁴
Now, we will write the expression as a fraction
From one of the laws of indices, we have that
[tex]a^{-x} =\frac{1}{a^{x} }[/tex]
Therefore,
[tex]5^{-4} =\frac{1}{5^{4} }[/tex]
In simplest form
[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]
Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
Learn more on simplifying expressions here: https://brainly.com/question/12985890
The bill at a restaurant was $52.45. You want to leave an 18% tip. What is the
dollar amount of the tip that you will leave? (Enter your answer in the from x.xx or
$x.xx)
Answer:
$9.44
Step-by-step explanation:
51.45 x 0.18 = $9.44
Find the midpoint of the line segment with the given endpoints (-4,4) (5,-1)
Answer:
(1/2), (3/2)
Step-by-step explanation:
midpoint fomula
(x1+x2)/ 2, (y1+y2)/2
(5-4)= 1 1/2 = (1/2)
(-1+4)=3 3/2=(3/2)
A : (x₁ , y₁) = (-4 , 4)
B : (x₂ , y₂) = (5 , -1)
Formula of [tex]\tt{midpoint}[/tex] is given by
◈ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2
_________________________________
⇒ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2
⇒ (x , y) = [5+(-4)]/2 , [-1+4]/2
⇒ (x , y) = 1/2 , 3/2
⇒ (x , y) = (0.5 , 1.5)I need to find the area below!
HELP!
Write the slope-intercept form of the equation of the line given the
slope and y-intercept.
slope = -4; y-intercept = -7
Answer:
y= -4x-7 or 4x+y= -7
Step-by-step explanation:
we know y=mx+c
given,
m=-4 c=-7
the equation y= -4x-7 or 4x+y= -7
thank u
Answer:
y=-4x-7
Step-by-step explanation:
Hi there!
We are given that the slope of a line is -4, and the y intercept of this same line is -7
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept, hence the name
As we are given the values for both the slope and the y intercept of this line, we can immediately substitute those values into the equation
Let's start with the slope; substitute -4 as m in the equation
y=-4x+b
Now with the y intercept; substitute -7 as b into the equation
y = -4x - 7
Hope this helps!
See more on this topic here: https://brainly.com/question/22607472
Mark and robyn used base-ten blocks to show that 200 is 100 times as much as 2. Whose model makes sense whose model is nonsense? Example your reasoning
Answer:
Robyn model makes more sense and Mark's is nonsense
Step-by-step explanation:
In this question ,calculations not required .All we have to do is consider each model logically .
Marks
Marks model shows 20 rather than 2 which means 200 is 10 times as much as 20. It does not make any sense.
Robyn
Robyn model shows 2 which means 200 is 100 times as much as 2 and this is not only correct but also makes sense because 100 *2=200
4|m-n| if m= -7 and n=2
What is the product of 45 times 32
Answer:
Your answer would be 1440
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
45 times 32 gives you the product of 1440
m. MRO = 127° m. MRP = 87º and m. NRQ = 83
Find m NRP
Answer:
don't know answer what is answee
-i+5=t-19 please help!!
Answer: t=24−i
Step-by-step explanation:
WILL GIVE BRAINLIEST!!Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
30 + 15 x greater-than-or-equal-to 90
Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.
Answer:
He only accepts jobs that last 4 hours or more.
Step-by-step explanation:The number of hours is x and so when you plug in 4 hours into the equation. 30+15 (4) it equals exactly 90
You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. Create and graph a system of inequalities that represents the constraints
Answer:
how is the maximum 10 hrs but you need to put in 20hrs
Question 7 of 10
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
5x + 3y = 31
2x + 3y = 25
O A. (5,2)
O B. (5,3)
O C. (2,7)
OD. (2,3)
Answer:
The answer is (2,7)
Step-by-step explanation:
Randell's favorite brand of cookies is on sale at a price of $1.79 for a 12 ounces package. what is the cost per ounce (unit rate) for these cookies?
Answer:
$0.1492
Step-by-step explanation:
Solve equation 17=r+10
Answer:
unless I am mistaken r=7
Step-by-step explanation:
you subtract 10 from each side and boom done
[(2+5)2]3
————-
(3+4)4
Evaluate (-5z)^3 . Write your answer using only positive exponents. Evaluate any numerical powers.
Answer:
-125z³
Step-by-step explanation:
-5 times - 5 = 25 canceling negative
125 times -5 = -125
zXzXz = z to power of 3 =z³
Can someone do this for me? I will give brainliest!
Answer:look it up on quizlet
Step-by-step explanation:
Introduction to interval notation
What is the domain and range?
Answer:
1,7
Step-by-step explanation:
you go up one and over seven and i'll be on the other point
How many quarters are in $20
Sarah is completing a tax form. The tax is 15.8% of $43.000. How much tax does Sarah have to pay?
Hey there! I'm happy to help!
To write a percentage as a decimal, you move the decimal place to the left two digits, so 15.8% as a decimal is 0.158.
To find the percentage of a certain number, you multiply it this percent by the certain number.
0.158×43000=6794
So, Sarah will have to pay $6,794.
Have a wonderful day! :D
Before going to bed, Maria's
temperature was 103,2º. Her fever
broke in the night so that her
moming temperature was 3.7
degrees lower. What was Mana's
temperature the next morning?
Answer:
Her temperature was 99.5°
Step-by-step explanation:
103.2 - 3.7 = 99.5
Which of the following relations is a function?
OA. (-7, 1), (0, -5), (1,5), (5, 1)
OB. (-7, 4), (0, 6), (-7, 3), (5,2)
C. (1, 1), (0, 4), (-7, 1), (1,-5)
OD. (-7,1), (0,4), (1,-5), (0, 6) ting
Answer:
A
Step-by-step explanation:
It would be "a" because the x points are all different, as seen on the others they all have at least one similar x.
please help me guys im lost
Answer:
D. BC ≅ EF
Step-by-step explanation:
ASA means you're trying to show congruence by showing two angles A..A and the segment between them ..S.. are congruent. The figure shows two congruent angles. What remains is to show the segments between are congruent.
__
In ∆ABC, the marked angles are B and C, so the segment between them is BC.
In ∆DEF, the marked angles are E and F, so the segment between them is EF.
These are the segments that need to be shown congruent if you're using ASA.
BC ≅ EF