The HCF of two numbers is 20. The LCM of both numbers is a multiple of 14. One number is greater than the other, work out the smallest possible numbers
Answer:
20
Step-by-step explanation:
Given that the HCF of two numbers is 20 and the LCM of both numbers is a multiple of 14.
So, the LCM of both numbers = 14n where n can be any natural number.
As HCF of two numbers is always smaller than or equal to the smallest number among both the numbers.
Here, the HCF of two numbers is 20, so the smallest number is greater than of equal to 20.
Hence, the smallest possible number is 20.
y = 230x + 100
Is this proportional or non proportional?
Proportional equations are of the form y = kx, for some fixed constant k. The k value is the constant of proportionality.
The +100 at the end is why we don't have a proportional equation.
Visually all proportional equations go through the origin, meaning the lines have y intercept of 0. For y = 230x+100, the y intercept is 100.
Simplify (X^5/8)^2/3
Answer: Its x5/12
Step-by-step explanation: Hope this helps!!1 <3
22.758 to the nearest foot
what number represents 125.638 rounded to the nearest hundreth
Answer:
The answer is [tex]125.64[/tex]
Step-by-step explanation:
hope this helps :)
which of the following are trinomials?
PLS, I REALLY NEED THIS ANSWER.
Answer:
Option (A) and Option (B)
Step-by-step explanation:
Trinomial is a polynomial having three terms.
Option A
[tex]\frac{5}{7}y^3+5y^2+y[/tex]
Number of terms = 3
So it's a trinomial.
Option (B)
x⁴ + x² + 1
Number of terms = 3
It's a trinomial.
Option C
6x² + 0.5y²
Number of terms = 2
It's a binomial.
Option D
x² + 3
Number of terms = 2
It's a binomial.
Option E
x¹¹
Number of terms = 1
Monomial
Option F
8x
Monomial.
Therefore, Option (A) and Option (B) are the correct options.
35 points plz help
Evaluate −4(14)6x for x=13.
Enter your answer as a fraction in simplest form in the box.
Answer:
-15228
Step-by-step explanation:
Given the expression :
-4(14)6x for X = 13
To evaluate ; simply substitute 13 for X in the equation :
-14(14)6(13)
-14 * 14 * 6 * 13 = - 15228
Jasmine saves $46 each month from her part-time job. She saves 2/5 of her earnings. Her earnings a can be found by using the equation 2/5a = 46.
Find her earnings.Required to answer. Single choice.
(10 points )
$ 230
$ 115
$ 92
$ 18.40
Answer:
$115 is the correct answer please mark me as brainliest
At home, Alice noticed that she had a flat tire. With the spare, Alice drove 30 miles to the next shop at 45 mph. After getting the new tire, she drove home at 70 mph. What was Alice's average speed for her round trip?
Answer: Approximately 54.7826 mph
As a fraction, this average speed is exactly 1260/23 mph.
========================================================
Work Shown:
"Alice drove 30 miles...at 45 mph". This means
t = d/r
t = 30/45
t = 2/3
She drove for 2/3 of an hour, which is (2/3)*60 = 40 minutes.
Then "she drove home at 70 mph". She drove the same distance, meaning,
t = d/r
t = 30/70
t = 3/7
She drove for 3/7 of an hour, which is roughly (3/7)*60 = 25.714 minutes.
------------------------------
Add up the time values
(2/3 hr) + (3/7 hr)
(2/3 + 3/7) hr
(14/21 + 9/21) hr
23/21 hr
She spent 23/21 of an hour driving going to the auto shop and then back home. The total distance she traveled was 30+30 = 60 miles.
Use these values to find the speed
r = d/t
r = d divided by t
r = 60 divided by (23/21)
r = (60/1) divided by (23/21)
r = (60/1) * (21/23)
r = (60*21)/(1*23)
r = 1260/23
r = 54.7826
Her average speed for the round trip is about 54.7826 mph.
Solve each equation for 0< theta < 2pi
3-2sin theta=5
Step-by-step explanation:
3 - 2sinθ = 5
2sinθ = -2
sinθ = -1
Therefore θ = 3π/4.
Two similar cones have volume of 4 m and 108 m respectively. If the large one has surface area 54 m, find the surface area of the smaller one.
[tex]\displaystyle\bf\\Explanations:\\\\The~similarity~ratio~of~two~similar~cones=k\\\\k=is~the~ratio~between~2~corresponding~lengths\\\\k=\frac{R_1}{R_2}=\frac{h_1}{h_2}\\\\The~ratio~between~2~corresponding~areas~of~similar~cones=k^2\\\\\frac{Area~1}{Area~2}=k^2\\\\The~ratio~between~the~volumes~of~the~2~similar~cones=k^3\\\\\frac{Volume~1}{Volume~2}=k^3[/tex]
.
[tex]\displaystyle\bf\\Solving:\\\\Volume1=108~m^3\\\\Volume2=4m^3\\\\k^3=\frac{108}{4}\\\\k^3=27~~\Big|\sqrt{~}\\\\k=\sqrt[\b3]{27}\\\\k=3\\\\Area1=54~m^2\\\\\frac{Area~1}{Area~2}=k^2\\\\\frac{54}{Area~2}=3^2\\\\\frac{54}{Area~2}=9\\\\Area2=\frac{54}{9}\\\\\boxed{\bf Area2=6 m^2}[/tex]
Nisha did the work below to solve an equation.
Step 1 7b+3.2b-5=18.92
Step 2 10.2b-5=18.92
Step 3 5.2b= 18.92
Step 4 b=3.64.
In which step did Nisha make her first error?
Step 1
Step 2
Step 3
Step 4
Answer:
Step 3.
Step-by-step explanation:
When 10.2b - 5 = 18.92, you cannot combine the unlike terms together on the left side to get 5.2b. Instead, add 5 to both sides:
10.2b = 18.92 + 5 = 23.92.
Answer: step 3
Step-by-step explanation:
Which of the following represents an inequality statement with a solution of
Please help out I’ll give you brainliest
Answer:
the second to last one
Step-by-step explanation:
Sorry if it is incorrect!
Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).
And now, here's the question: Can anyone find some interesting factorizations of upcoming years? For example, the year 2033 = 19*107 and the year 2041 = 13*157. In each case the factors are less than 10. Obviously, this is not THE most vital question, so don't spend too much time on it. (Although I've been told that a solution will finally bring about World Peace!!! ) LOL
Answer:
As 2021 and 1927 does not have any product of primes
HCF and LCM of 2020 and 1926 is shown below
Step-by-step explanation:
2020 = 2^2 × 5 × 101
1926 = 2 x 3^2 x 107
2 is the HCF
2 x 2 x 3 x 3 x 5 x 101 x 107 = 1945260
1945260 is the LCM
2022 and 1928 both have product of primes and their HCF and LCM is
1949208 is the LCF and 2 is the HCF
1949208 - 1945260 = 3948
3948/2 = 1974
2022-1928 = 94
2020 - 1926 = 94
1974/94 = 21
and brings us back to our year again.
Happy New Year to you.
Round 33,500 to the nearest 1000.
Answer: 34,000 (Since it's 500, it rounds up)
I hope this helps, and Happy Holidays! :)
Perimeter of 316 and 67 m
Answer:
383 m
Step-by-step explanation:
a linear function contains the following points (0,-1) (3,8)
What is the sum of 2x-5y+x+y
Answer:
3x - 4y
Step-by-step explanation:
2x + -5y + x + y
Group Like terms:
2x + x + -5y + y
2x + x = 3x
-5y + y = -4y
3x - 4y
If QRST is a kite, find the measure of QRS
Answer:
!!!!
137°
i took the test and that was the right answer.
Step-by-step explanation:
QRST is a kite therefore, the value of angle QRS in the kite is 137 degrees.
Properties of a kiteOne pair of opposite angles is equal.Diagonals are perpendicular to each other.The sum of angles in the kite is 360 degrees.
Therefore,
79 + 79 + 11x - 6 + 4x + 13 = 360
158 - 6 + 13 + 11x + 4x = 360
158 + 7 + 15x = 360
15x = 360 - 158 - 7
15x = 195
divide both sides by 15
x = 195 / 15
x = 13
Therefore,
∠QRS = 11(13) - 6 = 143 - 6 = 137 degrees.
learn more on kite here:https://brainly.com/question/3087585
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Georgia wants to test a protein supplement
for muscle gain. It randomly selects 15
players to take the supplement and 15
players to take a placebo. Before and after
10 weeks of taking these pills, the players'
muscle mass is measured and compared.
This is an example of a(n):
A) Sample B) Observational Study
C) Census D). Experiment
Your friend's parents each have a job. Her mother's average weekly salary is $740 with a standard deviation of $43. Her father's average weekly salary is $535, with a standard deviation of $25. Find the average weekly salary of her parents combined, and the standard deviation of their combined salaries. You can assume that the amount of money her mother makes has no effect on her father's salary, and vice versa.
Answer:
M= 740 [tex] \alpha = 43[/tex]D= 535[tex] \alpha = 25[/tex]You have two samples and two standard deviations We need the average of the take home pay and their combined standard deviation.So combined both regressions to get the total combined.The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.
What is the standard deviation?The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.
Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.
Let X denotes the weekly salary of her mother.
X ~ Normal(740,432)
Let Y denotes the weekly salary of her father.
Y ~ Normal(535,252)
and X and Y are independent.
the average weekly salary of your parents combined = E(X+Y)
= E(X) + E(Y) = 740 + 535 = 1275
the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474
the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739
Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.
Learn more about standard deviation here:
https://brainly.com/question/23907081
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what is the correct factorization of x^2 - 2x - 15?
Answer:
Step-by-step explanation:
x2 - 2x - 15
x2 - 5x + 3x - 15
x(x - 5) + 3(x - 5)
(x - 5) and (x + 3) are the factors
Write the following ratio in simplest form 8 to 12
Answer:
2/3 or 2 to 3
Step-by-step explanation:
Good luck!
A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallon of water.
Answer:
What is the question?
Step-by-step explanation:
Answer: The initial value is 150 and the rate of change is 30
150+30x=y
Geoff earns $9.25 per hour before taxes, and he works 40 hours per week. Geoff's employer withholds (takes out) 10.65% of geoff's income for taxes. What are geoff's total weekly earnings after taxes are withheld?
A) $ 39.41
B) $59.90
C) $ 330.60
D) $ 370.00
Answer:
a
Step-by-step explanation:
21. Which property is used to simplify the expression 5(3x + 18) to 152 + 90?
Can you answer this?
Marla sold 12 baseball caps for a total of $39, including tax. The equation. 12c=39 can be used to find c, the cost of one cap. What is the value of c
Answer:
$3.25
Step-by-step explanation:
12c = 39
12/12 =0
39/12 = 3.25
c = 3.25
b=9 c=4 bc+12.3=?
AAAAAAAAAAAAAAAAAAAAAAAAAASAP
Answer:
48.3
Step-by-step explanation:
since b = 9 and c = 4
9 x 4 = 36 and 36 + 12.3 = 48.3
A 2-quart carton of non-dairy creamer costs $6.32. What is the price per cup?
Answer:
you mean 2.5?????? in two quart????
I need this done quick pls.
Answer:
58º
Step-by-step explanation:
The sum of a triangle's interior angles is 180º. We know two interior angles, and we can solve from there: 180-(65+57)=180-65-57=180-180-122=58.