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What is the LCM (least common multiple) of 2 and 7
Answer:
14
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
The greatest common multiple of 2 and 7 is 1, because they are both prime numbers (numbers that cannot be divided by anything other than one or themselves).
Why bother with the greatest common multiple?
There's a very sneaky formula you can do to calculate the LCM with this.
[tex]lcm(a, b) = \frac{|a * b|}{gcd(a, b)}[/tex]
where lcm(a, b) = the least common multiple of integers a and b (1)
a = integer a (2)
b = integer b (7)
gcd(a, b) = greatest common divisor of integers a and b
So let's use it, we have all the available numbers.
[tex]lcm(a, b) = \frac{|2 * 7|}{1} = 14[/tex]
Five-foot-tall Melody casts an 84-inch shadow. How tall is her friend if, at the same time of day, his shadow is 1 foot shorter than hers?
Answer:
The height of her friend is 4.826 feet.
Step-by-step explanation:
The length of the shadow ([tex]x_{S}[/tex]), measured in feet, is directly proportional to the height of the person ([tex]x_{P}[/tex]), measured in feet. That is:
[tex]x_{P} \propto x_{S}[/tex]
[tex]x_{P} = k\cdot x_{S}[/tex] (1)
Where [tex]k[/tex] is the proportionality constant, no unit.
We can eliminate this constant by constructing this relationship:
[tex]\frac{x_{P,M}}{x_{S,M}} = \frac{x_{P,F}}{x_{S,F}}[/tex] (2)
Where M and F represents Melody and Melody's friend. If we know that [tex]x_{P,M} = 5\,ft[/tex], [tex]x_{S,M} = 7\,ft[/tex] and [tex]x_{S,F} = 6\,ft[/tex], then the height of his friend is:
[tex]x_{P,F} = \left(\frac{x_{P,M}}{x_{S,M}} \right)\cdot x_{S,F}[/tex]
[tex]x_{P,F} = \left(\frac{5\,ft}{7\,ft}\right)\cdot (6\,ft)[/tex]
[tex]x_{P,F} = 4.286\,ft[/tex]
The height of her friend is 4.826 feet.
Trevor has an investment worth $6,774.50. He made his only deposit in it 22 years ago. Given that the investment yields 2.7% simple interest annually, how big was the initial deposit?
a. $2,524.50
b. $4,024.03
c. $4,250.00
d. $11,404.88
Answer:
First, converting R percent to r a decimal
r = R/100 = 2.7%/100 = 0.027 per year.Solving our equation:
P = 6774.5 / ( 1 + (0.027 × 22)) = 4250P = $4,250.00The principal investment required to get a total amount, principal plus interest, of $6,774.50 from simple interest at a rate of 2.7% per year for 22 years is $4,250.00I do exams and quizzes if your interested!The initial deposit amount is $4,250.00.
Given that,
The worth of an investment is $6774.50The time period is 22 years. The rate of interest is 2.7%.Based on the above information, the calculation is as follows:
We know that
[tex]SI =P\times R\times T\\\\SI = P\times 2.7\% \times 22\\\\SI = 0.594P[/tex]
Now
Investment worth = P + SI
= P + 0.594P
= 1.594P
So,
1.594P = 6774.50
P = $4,250
Therefore we can conclude that the initial deposit amount is $4,250.00.
Learn more: brainly.com/question/13324776
WILL MARK BRAINLIEST
A green number cube and a red number cube are rolled. An outcome is the pair of numbers rolled on the two different cubes. Which of the following are true? Select all that apply.
Each result is equally likely.
The sample space has 36 different outcomes.
The sample space has 11 different outcomes.
A total roll of 7 is very likely.
Answer:
Each result is equally likely.
The sample space has 36 different outcomes.
Explanation:
A number cube has 6 sides, and there are 2 number cubes so there are 36 possible outcomes because 6² = 36
Answer:
Each result is equally likely.
The sample space has 36 different outcomes.
Step-by-step explanation:
Lauren took 12 hours to read a 360 page book use the unit rate to determine how many hours it will take her to read 150
HELPP PLEASEE
Answer:
360 divied by 2.4 = 150
Step-by-step explanation:
Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.
Answer:
I think its OB but I'm not sure
Step-by-step explanation:
how do you find width of a cylinder ?
please help my friend, he's struggling on math
Answer:
question 1 = 37 covers , 535 dollars
question 2 = 32 covers , 460 dollars
Expression = 69 covers , 995 dollars
Step-by-step explanation:
You would take the number of covers and multiply it by 15 because 15 dollars is how much they sold each cover for.
and then for the expression wasnt sure what to do but from what i could see you added up the totals.
Hope this helped him :)
also tell me what his snap is BAHA okay lemme stop.
I WILL MARK BRAINLIEST PLEASE HELP ASAP!!!!! Sketch a new graph of this relationship. The equation is y=7/4x
Answer:
Step-by-step explanation:
Solve 4x - 8 < 44. Enter your answer as an inequality.
Answer:
x < 13
Step-by-step explanation:
We have an inequality and are asked to solve for x.
Inequality work the same as expressions when it comes to solving for x, the only difference is that when you divide by a negative, the inequality sign changes. Which is not a problem.
4x - 8 < 44
Add 8 to both sides :
4x < 52
Divide 4 from both sides :
x < 13
Solve for the variable: 6/25 = d/30
Answer:
d = 7.2
Step-by-step explanation:
We can cross multiply the equation to get:
6 * 30 = 25 * d
(* is multiplication sign by the way)
180 = 25d
Divide both sides by 25 to get:
d = 7.2
1/2 til 2:00? = what time
Answer:
the answer is 1:30pm/am
Not understanding what to do need gelp
Answer:
42
Step-by-step explanation:
92 divided by 11 with remainder
Answer:
8 remainder 4
please help! easy math!
Select all of the equations that will produce exponential decay.
multiple answers can be chosen.
Answer:
y=(0.1)x and y=2(1/4)x represent exponential decay
the rest all are an equation used for exponential growth
Pleaseee help answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!
Answer:
x = 104 degrees
y = 76 degrees
z = 104 degrees
quadrilateral have to add up all of their interior angles to 360 degrees.
x and c are opposite interior angles. after finding that you have to add those 2 together (208) and subtract that from 360. You should get 152. However andgle B (angle y) and angle D are also opposite interiors so you divide 152 by 2 and get 76 degrees.
Also a straight line is 180 degrees so you subtract the degrees of D by 100 to get angle z.
Answer:
m∡x = 104°
m∡y = 76°
m∡z = 104°
Step-by-step explanation:
m∡A ≅ m∡C
m∡B ≅ m∡D
to find m∡B: 2(104) + 2y = 360
208 + 2y = 360
2y = 152
y = 76
m∡z: 180° - 76° = 104°
Question 2
Write an equation in slope-intercept form for the line with slope - 3 and y-intercept - 1.
D=0
.
Х
Answer:
y=-3x-1
Step-by-step explanation:
Slope-intercept format:
y = mx+b
m = slope
In this case, the slope is -3b = y-intercept
In this case, the y-intercept is -1Now we plug it in to get the equation:
y=-3x-1
I hope this helped!
Sincerely,
Rekifromsk8theinfinity
:D
Ryan ordered some books online and spent a total of . Each book cost and he paid a total of for shipping. How many books did he buy?
Answer: 12 books
Step-by-step explanation:
First you need to remove the cost of shipping from the total amount:
= 75 - 3
= $72
The above is the total amount spent on the books without shipping.
If each book cost $6, the total number of books bought is:
= 72 / 6
= 12 books
What is m_8 if m_4= 50 degrees?
A circular running track is
1/8
mile long. Elena runs on this track, completing each lap in
1/24
of an hour.
What is Elena's running speed, in miles per hour? Type just the number answer..
Answer:
3 miles per hour
Step-by-step explanation:
Speed is defined as the distance covered per unit time, which can be expressed mathematically as follows;
Speed = Distance/Time
The given parameters are;
The length of the circular running track = 1/8 mile
The time it takes Elena to complete a lap = 1/24 hour
Therefore, we have;
Elena's running speed = The distance Elena completes/(The time it takes Elena to complete the given distance)
∴ Elena's running speed = The 1/8 mile track/(1/24 hour)
[tex]Elena's \ running \ speed =\dfrac{\dfrac{1}{8} \ mile }{\dfrac{1}{24} \ hour } = \left (\dfrac{1 }{8} \times \dfrac{24}{1 } \right ) \ \dfrac{mile}{hour} = \dfrac{24}{8} \ \dfrac{mile}{hour} =3 \ mile/hour[/tex]
Elena's running speed = 3 mile per hour.
expand and simplify (x-2)(2x+4)
Answer:
[tex]2 {x}^{2} - 8[/tex]
hope it's helpful ❤❤❤
THANK YOU.
Answer:
2x² - 8
Step-by-step explanation:
Given
(x - 2)(2x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 4) - 2(2x + 4) ← distribute both parenthesis
= 2x² + 4x - 4x - 8 ← collect like terms
= 2x² - 8
Work out the size of angle X
Answer:
117
Step-by-step explanation:
180-101 = 79
180-(79+38)
180-117
63
180-63=117
i need help please 16x-20y=60
slope intercept form
find the value of each angle.
Answer + Explanation:
First, find what the sum of the interior angles must be. You can use the formula 180(n - 2) where n is the number of sides to find this.
n = 5, so 180( 5 - 2) = 180 * 3 = 540 degrees.
Then, you can add up all the interior angles of the pentagon and it will add to 540. This means that:
2x + x + 2x + 90 + 90 = 540
5x + 180 = 540
5x = 360
x = 72
Then you can go through and find the measure of each angle:
S = 90 degrees (given)
T = 2x = 2 * 72 = 144 degrees
U = x = 72 degrees
V = 2x = 72 * 2 = 144 degrees
W = 90 degrees (given)
19.- Según la gráfica ¿Cuál es la rapidez media entre 4 s y 8 s?
A. 8 m/s
B. 1 m/s
C. 0,5 m/s
Answer:
B. 1m/s es la respuesta correcta
HALP! I don't understand this! I need an explanation right away! Thank you for your help!
Answer:
1/2
Step-by-step explanation:
there are 13 cards in each type so
heart or diamond would mean either one so 13 +13=26
26/52
1/2
TOTAL NUMBER OF HEART CARDS= 13
TOTAL NUMBER OF DIAMOND CARDS= 13
PROBABILITY OF AN EVENT
= NUMBER OF FAVOURABLE OUTCOMES
TOTAL NUMBER OF POSSIBLE OUTCOMES
Probability of getting a heart card♥=13/52 =1/4
Probability of getting a DIAMOND card♦= 13/52 =1/4
Probability of getting a heart and a diamond card =26/52 =1/2
I hope you got it!!!...right!!
Which of the following objects exerts a gravitational force?م the Sun the Moon the Earth a basketball an apple
Answer:
Please rate as brainliest.
Step-by-step explanation:
The Moon exerts its force of gravity; since it's smaller and lighter than Earth, we would discover we weigh around a sixth of our weight on Earth if we could weigh ourselves on it. One could ask why the Moon doesn't fall on Earth as an apple from the tree.
Pls help me i need your help to do it pls
Answer: 39°
Step-by-step explanation:
This is a right triangle, meaning one of the angles is a 90° angle. Angle CBA in this case is the 90° angle. In order to figure out the measure of ABD, you subtract the measure of CBA by the measure of CBD, which is 51°.
90 - 51 = 39
Thus, the measure of ABD is 39°
Amy bought a sofa on sale for $511. This price was 27% less than the original price.
What was the original price?
Answer:
This price was 27% less than the original price...
this means that the price Scott paid was 73% of the original price.
(0.73) * (original price) = 511
solving for original price: original price = $ 700
Abox of cereal states that there are 81 calories in a
4-cup serving. What is the unit rate for calories
per cup? How many calories are there in 4 cups of the cereal?
Answer:
20.25 per cup because 81÷4= 20.25 then
1) read the label=81 per 4-cups
2) 20.25x4=82 calories
Step-by-step explanation:
hope this helps :D