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3 years ago

8

A bucket holds, at most, 30 golf balls. How many buckets are needed to hold 96 golf balls?

2 answers:

Ket [755]3 years ago

6 0

Answer: 4

Step-by-step explanation:

lesantik [10]3 years ago

6 0

Answer:

4 buckets

Step-by-step explanation:

number of buckets needed = 96 / 30

= 3.2

Since 3.2 is not a whole number (buckets cannot be split into small portions), and each bucket can only hold 30 golf balls, 4 buckets are needed to hold all golf balls.

Or else, if there is only 3 buckets, only 30x3 = 90 balls can be held, meaning there are 6 left.

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Which of the following represents "the difference between ten and a number is the sum of eight and a number"?

Alina [70]

10 - N = 8 + N
Hope this helps

6 0

3 years ago

PLEASE SHOW ALL THE STEPS THAT YOU USE TO SOLVE THIS PROBLEM

Mademuasel [1]

Answer:

{x = 1 , y=1, z=0

Step-by-step explanation:

Solve the following system:

{-2 x + 2 y + 3 z = 0 | (equation 1)

{-2 x - y + z = -3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Subtract equation 1 from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x - 3 y - 2 z = -3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Multiply equation 2 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+3 y + 2 z = 3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Add equation 1 to equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+3 y + 2 z = 3 | (equation 2)

{0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y+0 z = 5 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{-(2 x) + 0 y+3 z = -2 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = -2 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:

{x+0 y+0 z = 1 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer: {x = 1 , y=1, z=0

6 0

3 years ago

The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.

Hatshy [7]

Answer:

0.0158 = 1.58% probability that all of them are under 18.

Step-by-step explanation:

Probability of independent events:

If three events, A, B and C are independent, the probability of all happening is the multiplication of the probabilities of each happening, that is:

$P(A \cap B \cap C) = P(A)P(B)P(C)$

The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.

This means that $P(A) = 0.235, P(B) = 0.258, P(C) = 0.26$

If one person is selected from each city, what is the probability that all of them are under 18?

Since the three people are independent:

$P(A \cap B \cap C) = 0.235*0.258*0.26 = 0.0158$

0.0158 = 1.58% probability that all of them are under 18.

8 0

3 years ago

The table below represents the function F. 3 7 F(x) 4 15 5 31 7 127 8 255 The equation that represents this function is?

timurjin [86]

The table is an exponential function, and the equation that represents this function is $f(x) =2^x -1$

<h3>The equation of the table</h3>

The table is given as:

x F(x)

4 15

5 31

7 127

8 255

Rewrite the table as:

x F(x)

4 16 - 1

5 32 - 1

7 128 - 1

8 256 - 1

Express as a base of 2

x F(x)

4 2⁴ - 1

5 2⁵- 1

7 2⁷ - 1

8 2⁸ - 1

Notice that the function is 1 subtracted from 2 raised to the power of the input.

This is represented as:

$f(x) =2^x -1$

Hence, the equation of the table is $f(x) =2^x -1$

Read more about exponential functions at

brainly.com/question/9608962

#SPJ1

4 0

2 years ago

A basketball player makes 4 out of 20 free throws. What is his shooting percentage?

DiKsa [7]

We can convert that into a fraction of 100 for the percentage.

4/20= 20/100

(multiply both by 5)

So, the basketball player makes 20% of the throws.

I hope this helps!
~kaikers

4 0

3 years ago