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4 years ago

Explain why a number that is divided by a multiple of 3 is also divisible by 3

1 answer:

8 0

It is a reciprocal. Multiplying is the opposite of Dividing, so if I multiply 3 times 4 I get 12. If i divide 12 by 3 I get 4.

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Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a

nika2105 [10]

Answer:

<h2>D= 3.9 miles</h2>

Step-by-step explanation:

Given data

speed v= 13 miles per hour

time taken t= 20min to hour 0.3 hours

the distance D

We know that the relationship between speed, time, and distance

speed=distance/time

13=D/0.3

(the expression above describes the relationship between distance, speed, and time)

making D subject of formula we have

D= 0.3*13

D= 3.9 miles

hence the distance is 3.9miles

6 0

4 years ago

Linear System, substitutional method 5x+4y=32 9x-y=33 helppp

Pachacha [2.7K]

5x + 4y = 32 ⇒ 45x + 36y = 288
9x - 1y = 33 ⇒ 45x - 5y = 165
 41y = 123
 41 41
 y = 3
 5x + 4(3) = 32
 5x + 12 = 32
 - 12 - 12
 5x = 20
 5 5
 x = 4
 (x, y) = (4, 3)

6 0

3 years ago

the circumference of a circle is blank. a)the distance around the circle b)the length of a radius c)2pie d)the length of the dia

Misha Larkins [42]

Answer:

a. distance around the circle

8 0

4 years ago

A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes a) are there in total?

attashe74 [19]

Answer:

There are 256 ways in total.

There are 56 possible outcomes contain exactly three heads.

The possible outcomes contain at least three heads is 219.

The possible outcomes contain the same number of heads and tails are 70.

Step-by-step explanation:

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are:

$2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^8=256$

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination: $\binom{n}{r}=\frac{n!}{r!(n-r)!}$

$\binom{8}{3}=\frac{8!}{3!(5)!}=56$

Hence, there are 56 possible outcomes contain exactly three heads.

Part (c) contain at least three heads?

For 3 heads: $\binom{8}{3}=\frac{8!}{3!(5)!}=56$

For 4 heads: $\binom{8}{4}=\frac{8!}{4!(4)!}=70$

For 5 heads: $\binom{8}{5}=\frac{8!}{5!(3)!}=56$

For 6 heads: $\binom{8}{6}=\frac{8!}{6!(2)!}=28$

For 7 heads: $\binom{8}{7}=\frac{8!}{7!(1)!}=8$

For 8 heads: $\binom{8}{8}=1$

Now add them as shown:

56+70+56+28+8+1=219

Hence, the possible outcomes contain at least three heads is 219.

Part (d) contain the same number of heads and tails?

Same number of heads and tails means that the value of r=4.

Therefore,

$\binom{8}{4}=\frac{8!}{4!(4)!}=70$

Hence, the possible outcomes contain the same number of heads and tails are 70.

6 0

3 years ago

HELPPPI CAN ADD 30 MORE POINTS REQUIRED PLSSSS HELP JUST THIS

il63 [147K]

Answer:

Step-by-step explanation:

it should be 16, 480, and 2400.

8 0

3 years ago