8
Allan's car uses 1 litre of fuel to travel 12 km. How much fuel will be needed to travel
420kmn?​

Answer:

1/25

Step-by-step explanation:

Given :

Let :

Y = yellow marbles

P = pink marbles

B = blue marbles

Y = 2 ; P = 3 ; B = 5

Note : selection is done with replacement :

Probability = required outcome / Total possible outcomes

Total possible outcomes = (2+3+5) = 10

Probability of drawing 2 yellow marbles :

First Draw : P(yellow) = 2 /10 = 1/5

Second draw: P(yellow) = 2/10 = 1/5

Probability of drawing 2 yellow marbles :

1/5 * 1/5 = 1 /25

Answer:

5.98

Step-by-step explanation:

Answer:

5.98

Step-by-step explanation:

Answer:5 days

Step-by-step explanation:

13+3=16

16+3=19

19+3=22

22+3=25

25+3=28

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:

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

Answer:

I could be wrong, but I think it's x=12

Answer:

Step-by-step explanation:

First let's set this into a proportion:

[tex]\frac{8}{x}=\frac{12}{18}\\144=12x\\12=x[/tex]

Hope this helps

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.

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:

https://brainly.com/question/13609688

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

Answer:

1430

Step-by-step explanation:

just do 1000x1.43 I think this is right but i might be wrong

Answer:

Answer:Option D will be your answer

Step-by-step explanation:

hope it helps you

have a great day ^-^

Answer:The bases on a baseball diamond are 90 feet apart. how far is it from home plate to second base? - 4961702. ... so for a right triangle, when we've got legs a and b and hytponuse c then a²+b²=c² ... Form a triangle with vertices at home base, first, and second. Home to first ... Get more out of Brainly. See top ...

Step-by-step explanation:

Answer:

The diameter is related because it helps find the circumference.

Answer:

it is a game

Step-by-step explanation:

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.

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]

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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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

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

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.

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:

https://brainly.com/question/11833983

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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

Answer:

Median is 5

Mode is 1

Range is 8

Mean is 4.7

Step-by-step explanation:

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

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

Answer:

40 meters squared

Step-by-step explanation:

8 * 5 = 40

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

Answer:

92

Step-by-step explanation:

Because 92 occurs the most and some of the numbers aren't even there.

Answer:

2-2x=y

Step-by-step explanation: