Answer:
x = 30
Step-by-step explanation:
If X - 9 = 21, then 21 + 9 = X.
21 + 9 = 30
Answer:
x=30 (think about the opposite way to do it, 21+9)
Step-by-step explanation:
30-9=21 soo yea
What is the least common denominator for the fractions below?
4/9
and
2/6
Answer:
?
Answer · 0 votes
To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how. Let's try it with the fractions 23 and 312 12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also. Now you have the following: 812 and 312 These fractions now have common denominators! Now they're all set for adding or subtracting fractions. Try another: 26 and 35: The least common multiple of 6 and 5 is 30. (the product of the denominators) Transform each fraction by multiplying by "1": 26⋅55 = 1030 and 35⋅66 = 1830 One last problem: 49 and 76 What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the L…
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Question
1.What’s the least common multiple (LCM) for each group of numbers? a. 6 and 15 b. 4 and 11 c. 6, 9, and 12 d. 8, 10, and 20 2.What’s the least common denominator (LCD) for each group of fractions? a. 1⁄6 and 7⁄8 b. 3⁄4 and 7⁄10 c. 7⁄12, 3⁄8 and 11⁄36 d. 8⁄15, 11⁄30 and 3⁄5 3.Insert the “equal” sign or the “not equal” sign ( = or ≠) to make each statement true. a. 18/36 _____ 1/2 b. 13/15 _____ 7/10 c. 3/5 _____ 5/9 d. 3/8 _____ 10/16 4.On a hot summer day, John drank 5⁄11 of a quart of iced tea; Gary drank 7⁄10 of a quart; and Carter drank 3⁄5 of a quart. Which man was the most thirsty? 5.What’s the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21 e. 7⁄11 and 9⁄121 f. 1⁄2, 3⁄18, and 4⁄9 6.Reduce each of the following fractions to its simplest form. a. 12⁄18 b. 48⁄54 c. 27⁄90 d. 63⁄77 e. 24⁄32 f. 73⁄365 7.What is the next fraction in each of the following patterns? a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .? b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101. . .? c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256. . .? 8.In each pair, tell if the fractions are equal by using cross multiplication. a. 5⁄30 and 1⁄6 b. 4⁄12 and 21⁄60 c. 17⁄34 and 41⁄82 d. 6⁄9 and 25⁄36 9.This year, a baseball player made 92 hits out of 564 times at bat. Another player made 84 hits out of 634 times at bat. Did the two players have the same batting average? 10.On a test with 80 questions, Bob got 60 correct. On another test with 100 questions, he got 75 correct. Did Bob get the same score on both tests? 11.Find the missing numerators in each of the following problems. a. 10⁄15 = ⁄60 b. ⁄108 = 4⁄9 c. 7⁄11 = ⁄121 d. ⁄144 = 2⁄6 12.This handy application of LCMs is used by astronomers. All the planets in our solar system revolve around the sun. The planets occasionally line up together in their journeys, as shown in the illustration. The chart shows the time it takes each planet to make one trip around the sun. Now, imagine that the planets Earth, Mars, Jupiter, Saturn, Uranus, and Neptune aligned last night. How many years will pass before this happens again? (Hint—Find the LCM of the planets’ revolution times.) Solar System Planet Revolution Time Earth 1 year Mars 2 years Jupiter 12 years Saturn 30 years Uranus 84 years Neptune 165 years
Answer · 15 votes
1. a. 30b. 44c. 36d. 402. I don't really remember how to do these but if you cant make the denominator smaller then I belive it's a. 24b. 20c. 4d. 53.a. =b. not =c. not =d. not =4. Gary5. a. 5/6b. 5/12c. 19/45d. 13/14e. 7/11f. 1/26.a. 2/3b. 8/9c. 3/10d. 9/11e. 3/4f. 1/57.a. 36/40b. c. 8.a. yesb. noc. nod. no9. no10. yes11. a. 40b. 48c. 77d. 4812. 4,620
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Wyzant
Question
what is the common denominator for 3/4 and 2/5
Answer · 0 votes
Hi Elikem! To find the common denominator. First check to see if one of the numbers is divisible by the other. In this case 4 is not divisible by 5 and 5 is not divisible by 4. So the next step is to find the common multiple. You do this by writing out the multiples of each. 4 8 12 16 20 24 28 5 10 15 20 25 When you find a common multiple, in this case 20, you have found the common denominator. Hope this helps!I am available for online tutoring for $35 per hour sessions.
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Brainly.ph
Question
What is the least common denominator of 2/6 and 5/12
Answer · 3 votes
Answer:12Step-by-step explanation:Rewriting input as fractions if necessary: 2/6, 5/12 For the denominators (6, 12) the least common multiple (LCM) is 12. Therefore, the least common denominator (LCD) is 12. Calculations to rewrite the original inputs as equivalent fractions with the LCD:2/6 = 2/6 × 2/2 = 4/125/12 = 5/12 × 1/1 = 5/12
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People also ask
What is the LCM of 4/6 and 9?
What is the common denominator of 4 and 9?
What is the LCD of 4 and 6?
What is the lowest common denominator of 4 and 9?
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
snsnnsnsnnsnnnsn s s
A cone has a diameter of 10 inches and a depth of 20 inches. If you use the formula V=13πr2h to find the volume, will your answer be ≈523.6 inches3?
Please help
Answer:
Yes, the answer would be 523.6
Step-by-step explanation:
Formula for Volume of a cone:
V = πr²(h/3)
r = d/2
10/2
r = 5
V = πr²(h/3)
V = π(5²)(20/3)
V = π(25)(20/3)
V = 523.6
HELP ME PLEASE!
1. Make up an equation that has no solution and explain what that means. (Hint: It has to be a real explanation, not just "it doesn't work").
2. Identify the terms, like terms, coefficients, and constants in the expression.
-3a + 9c - 7c + 4 + 10a
Answer:
1. 2x+7=2x+2 (would eventually get 7=2 which isn't true
2. like terms would be -3a and 10a, 9c and -7c, and 4 is by itself----coefficents would be the number before a varible so -3, 9, -7, and 10------finally the constants would be the numbers by itself so 4
(if you simplify this equation it would be 7a + 2c + 4 since you're combining like terms)
Step-by-step explanation:
1. An equation with no solution means that after simplification you determine it isn't possible this would be things like 2=7 or 1=3 which just aren't true so since they aren't a real equation they are labeled as "no solution" (P.S. if you don't know what infinetly many solutions is eithier it's basically when you have an equation that results in an answer like 0=0 or 5=5 where we know that it is true but I't doesnt give a real value for any of the variables so their are infinite possibilities for the variables value)
2. Like terms - terms that share a common variable (or lack therof) so if you had two numbers with the variable "a" after them you could combine them and the same applies with whole numbers so you could add -5 and 7 together
Coefficeints - basically just the variable in an equation so a value like "x" or "a" that comes after a number
Constants - Any number not followed by a varible so any whole number really for example in 4x+3=5 the 3 and 5 would be considered constants as they are real numbers
Write the equation for each circle with the given radius and center.
5. radius: 2, center: (4, -3)
6. radius: 7, center: (-1, 10)
Answer:
Step-by-step explanation:
Equation of a circle is
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex] where (h,k) is the center and r is radius
#5 Radius 2, Center (4,-3)
[tex](x-4)^{2} +(y+3)^{2} =4[/tex]
#6 Radius 7, Center (-1,10)
[tex](x+1)^{2} +(y-10)^{2} =49[/tex]
PLSSSS SOMEONE HELP ME!!!!!!!
You flip a coin 30 times, about how many times would you expect to tails to appear?
Answer:
15 heads out of 30
Step-by-step explanation:
The total number of possible sequences of coin flips can be determined by raising the number of outcomes, which is 2 for any coin (heads or tails), to the power of the number of times the coin is flipped, given by the question as 30. Therefore, 230 is the total number of different sequences for 30 coin flips.
We can use combinatorial math to find the number of sequences with exactly 15 heads, which is 30 choose 15 or (3015) . The probability we are looking for will be the number of sequences with 15 heads divided by the total possible sequences.
Now we can express the whole probability in math notation, and calculate an answer (rounded to 4 decimal places):
(3015)230=1551175201073741824≈0.1445≈14.45%
15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on. If you graphed all of the outcomes, you will find it follows a normal distribution, or Bell curve, with the outcome of 15 heads, located at the peak.
If the coin is tossed 30 times then the expected value of the tails to appear is 15 which means tails will appear 15 times.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are:
[tex]E(X) = np\\[/tex]
You flip a coin 30 times then the expected value will be
The probability of getting tails is 0.5 then the expected value will be
[tex]E(X) = 0.5 \times 30\\\\E(X) = 15\\[/tex]
Learn more about binomial distribution here:
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A class measured the radius and circumference of various circular objects. The results are plotted on the graph. Does there appear to be a proportional relationship between the radius and circumference of a circle? Explain or show your reasoning. Why might the measured radii and circumferences not be exactly proportional?
Answer: Because it goes through the origin and the line is straight but there is still the empty space between the 4 and 6
Step-by-step explanation:
A water bottle has a capacity of 1.43 L. What is the bottle's capacity in milliliters?
(1 L = 1,000 mL)
Answer:
1430
Step-by-step explanation:
just do 1000x1.43 I think this is right but i might be wrong
10 POINTS PLEASE HURRY
Answer:
Since there are an infinite number of lines through the center, the circle has an infinite number of lines of symmetry. When the circle is folded over a line of symmetry, the parts of the circle on each side of the line match up. This means that the parts of the circle on each side of the line must have the same area.
Step-by-step explanation:
Look at the picture.
Answer:
Answer:Option D will be your answer
Step-by-step explanation:
hope it helps you
have a great day ^-^
Two forest rangers are standing on a road that runs east-west. One sights a forest fire in the direction 31° east of
north. The other sights the same fire 57° west of north.
Find the distance from each ranger to the forest fire and
the shortest distance from the fire to the road.
Answer: The forest ranger closest to the fire is at a distance of 9.92 miles (nearest hundredth).
Draw a horizontal line AB of length 15 miles to represent the positions of the two forest rangers.
Point A is to the left and point B is to the right.
Complete triangle ABC so that m∠A = 41° and m∠B = 56°.
The point C represents the location of the fire.
Let x = length of BC. It is the shortest distance from the forest ranger B to the fire because BC is opposite the smaller angle of 41°.
Because the sum of angles in a triangle is 180°,
m∠C = 180° - (41° + 56°) = 83°.
From the Law of Sines,
x/sin(41) = 15/sin(83)
x = 15*[sin(41)/sin(83)] = 9.915 mi
Step-by-step explanation:
Draw a horizontal line AB of length 15 miles to represent the positions of the two forest rangers.
Point A is to the left and point B is to the right.
Complete triangle ABC so that m∠A = 41° and m∠B = 56°.
The point C represents the location of the fire.
Let x = length of BC. It is the shortest distance from the forest ranger B to the fire because BC is opposite the smaller angle of 41°.
Because the sum of angles in a triangle is 180°,
m∠C = 180° - (41° + 56°) = 83°.
From the Law of Sines,
x/sin(41) = 15/sin(83)
x = 15*[sin(41)/sin(83)] = 9.915 mi
What are some real-world scenarios for the Pythagorean theorem?
Answer:
There are loads, but for example you can find the diagonal from a lamppost the the end of its shadow if you know the height of the post and the length of the shadow.
Hope I helped x
Jenny works 30 hours and is paid £318 Calvin works 28 hours and is paid £287 Jenny is paid more per hour than Calvin How much more
Answer:
£0.35 more per hour.
Step-by-step explanation:
Jenny:
30h = £318
1h = £318 ÷ 30
= £10.60
Calvin:
28h = £287
1h = £287 ÷ 28
= £10.25
Difference:
£10.60 - £10.25 = £0.35
Hope this helps
2 minus twice a number.
Answer:
2-2x=y
Step-by-step explanation:
A right circular cone is shown. The base of the cone is a circle with the center at point A. The Distance from point A to point C is 16 inches. The distance from point C to point B is 20 inches.
Answer:
6.4
Step-by-step explanation:
The distance between the point A and B is 12 inches which is the radius of the cone. Thus, The diameter of the cone will be 24 inches.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
A right circular cone is shown.
The base of the cone is a circle with the center at point A.
The Distance from point A to point C is 16 inches.
The distance from point C to point B is 20 inches.
[tex]|BC|^2 = |AB|^2 + |AC|^2 \\\\|20|^2 = |AB|^2 + |16|^2 \\\\AB = \sqrt{400 - 256}\\\\AB = \sqrt{144} \\\\AB = 12[/tex]
Therefore, the distance between the point A and B is 12 inches which is the radius of the cone.
Thus, The diameter of the cone will be 24 inches.
Learn more about Pythagoras' theorem here:
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5y + 3y + 5 ≤ ‐2(2y + 4) ( pls show work)
Answer:
y<-13/12
Step-by-step explanation:
12y<-8-5
12y<-13
Whats the answer for number 12? Thank you!
It should be B correct me if I'm wrong but it should be B.
Find the slope of the line and get a brainliest !!!!!!
Answer:
m=3
Step-by-step explanation:
Answer: 3/1
Step-by-step explanation: If you look at the very start of the graph you see that the only time the ray touches the right angle of the line is a (1,3) and (0,0). Plugging that into the [tex]m=\frac{y2-y1}{x2-x1}[/tex] you get [tex]\frac{3}{1}[/tex] and turning that into a fraction you get 3 which is the slope.
Parallelogram Problem
Answer:
x=6, AB=13, y=10, AD=13, P=46
Step-by-step explanation:
3x-5=x+7
2x=12
x=6
AB: 3(6)-5= 13
2y-7=y+3
y=10
AD: 10+3=13
Perimeter= 13+13+10+10=46
V= u +at U=2 A=-5 T=1/2 Work out the value of v
Answer:
v =-1/2 hope it may help u
Step-by-step explanation:
v =u+at
v=2 -5/2
v=4-5/2
v=-1/2/2
Answer:
Step-by-step explanation:
Given
u = 2 , a = - 5 t = 1/2
Now
v = u + at
= 2 + (-5) * 1/2
= ( 4 - 5) /2
= - 1/2
help me pleaseeeeeeeeee
Answer:
The diameter is related because it helps find the circumference.
what is thisssssssss
Answer:
it is a game
Step-by-step explanation:
Pleaseeee help I will give BRAINLIEST I don’t understand.
Answer:
A
Step-by-step explanation:
To find volume you multiply lwh
Answer:
2400 [tex]$cm^3$[/tex]
Step-by-step explanation:
From the triangle on the left, we can see that height is 15cm and from the triangle on the right, we can see that base is 8cm of the triangle, as both triangles are identical. So the area of the triangle is,
[tex]b = 8 cm\\h = 15cm[/tex]
[tex]A = \frac{1}{2}bh\\= \frac{1}{2}\times8\times15 cm^2\\= 60 cm^2[/tex]
The area of the prism should be the length of the prism times the area of the triangle. So it is [tex]60 cm^2 \times 40 cm = 2400 cm^3[/tex]
What is 23% of 26? help pls
Answer:
5.98
Step-by-step explanation:
Answer:
5.98
Step-by-step explanation:
What is the radius of the circle made by Ana’s brother in the blue car? Use 3.14 for tt and round your answer to the nearest tenth.
Answer:35.032
Step-by-step explanation:
Take 220/3.14=70.06
Divide by two to change diameter to radius and you get about 35.032
The radius of the circle made by Ana’s brother in the blue car is 35 feet.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
Blue circle:
The total distance around the blue track = 220 feet
This means,
Circumference = 2πr
220 = 2πr
r = 220/2 x 3.14
r = 35 feet
Thus,
The radius of the circle made by Ana’s brother in the blue car is 35 feet.
Learn more about Circle here:
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#1) Catherine takes AC transits to school and the bus travels 35 blocks in 7 minutes. At this rate, how long
should the ride take if Catherine's school is 50 blocks away from her house? Explain how you know.
The points (-7, -1) and (r, 1) lie on a line with slope 1/4
Find the missing coordinater.
r =
Answer:
r = 1
Step-by-step explanation:
Find the missing x-coordinate r.
Use the point-slope formula y - k = m(x - h). We are given the point (-7, -1) on the line and the slope of the line 1/4, and so this general formula becomes
y + 1 = (1/4)(x + 7)
Now substitute the coordinates of the other point (r, 1) to solve for r:
1 + 1 = (1/4)(r + 7)
Multiplying both sides by 4 eliminates the fractional coefficient:
8 = r + 7
It is readily apparent that r must be 1.
Check: If r = 1, then (r, 1) becomes (1, 1). use the point-slope formula again, this time to see if we are correctly predicting the r value 1:
y + 1 = (1/4)(x + 7) becomes 1 + 1 = (1/4)(r + 7), or
2 = (1/4)(r + 7). Multiplying both sides by 4, we get 8 = r + 7, and so r = 1.
Determine the length of line segment AC
Answer:
9
Step-by-step explanation:
Answer:
AC = 15 units
Step-by-step explanation:
Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{AB}{BC}[/tex] = [tex]\frac{AD}{DC}[/tex] , substitute values
[tex]\frac{12}{18}[/tex] = [tex]\frac{6}{x}[/tex] ( cross- multiply )
12x = 108 ( divide both sides by 12 )
x = 9
Then
AC = 6 + 9 = 15 units
Find the polygon that is similar to ABCD.
A jar had 88 coins. 1/3 of the coins were silver. How many coins were gold?
Answer:
There are 66 gold coins in the jar
Step-by-step explanation:
Let the number of silver coins = X
Then the number of gold coins = 3X (as there are 1/3 number of silver coins as gold)
Total coins =88
Total coins = silver coins + gold coins
Total coins = X + 3X = 88
Total coins = 4X = 88
X = 88/4
X = 22
No. Of silver coins = 22
No. Of gold coins = 3X = 3×22
No. Of gold coins = 3X= 66
Check
Total coins = 3X + X = 88
66+22 = 88
88 = 88
Hope it helps...
Have a great day :P
Answer:
Hello There!!
Step-by-step explanation:
Let the number of silver coins be x and gold coins be 3x which add up to 4x. Make an expression and add 88 with 4x so 4x=88
x=22(88÷4).
So x=22[silver coins]
3x=66(22×3) [gold coins]
hope this helps,have a great day!!
~Pinky~