All categories

2 years ago

A machine can manufacture 24,000 plastic balls in 8 hours. Find the unit rate in balls per hour.

Mathematics

2 answers:

Lorico [155]2 years ago

5 0

24,000/8= 3,000 balls

The machine produce 3,000 balls per hour.

Hope that helps!

vlada-n [284]2 years ago

5 0

Answer: 3,000 balls per hour

Step-by-step explanation:

Given: The number of plastic balls manufactured by a machine = 24,000

Time taken to manufacture 24,000 plastic balls = 8 hours

To calculate the unit rate , we divide the number of plastic balls by the amount of time taken to produce it, we get

$\text{Unit rate}=\dfrac{\text{Number of plastic balls}}{\text{Time}}\\\\\Rightarrow\ \text{Unit rate}=\dfrac{24,000}{8}\\\\\Rightarrow\ \text{Unit rate}=3,000\text{balls per hour}$

You might be interested in

Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probabili

zlopas [31]

Answer:

The correct answer to the following question will be "0.438".

Step-by-step explanation:

Just because Mrs. Gomes finds around 40% of students in herself high school are studying chemistry.

Although each student becomes independent of one another, we may conclude:

"x" number of the students taking chemistry seems to be binomial to p = constant probability = 0.40

Given:

Number of surveys

= 12

Exactly 4 students have taken chemistry:

$=P(X\leq4)$

$=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)$

$=\Sigma_{0}^{4} C_{r}(0.4)^r(0.6)^{12-r}$

On substituting the above equation, we get the probability of approximately "0.438".

So that the above would be the appropriate answer.

5 0

2 years ago

How many solutions exist for the given equation? StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x

Firlakuza [10]

Answer:

One solution x = 2

Step-by-step explanation:

Given the equation:

$\dfrac{1}{2}(x+12)=4x-1$

Multiply this equation by 2:

$2\cdot \dfrac{1}{2}(x+12)=2\cdot (4x-1)\\ \\x+12=2(4x-1)$

Use distributive property:

$x+12=8x-2$

Combine the like terms:

$x+12=8x-2\\ \\x+12-12=8x-2-12\\ \\x=8x-14\\ \\x-8x=8x-14-8x\\ \\-7x=-14\\ \\7x=14\\ \\x=2$

Thus, this equation has one solution x = 2

7 0

2 years ago

Read 3 more answers

The value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after

WARRIOR [948]

General exponential equation
y = A(1+r)^x
where
A = initial value
r = rate increase (+) or decrease (-)
x = time period of the change
y = projected value

y = 300(1.05)^x
in this problem, x = years after 2017
we want to find an x that makes the value more than or equal to 650

650 <= 300(1.05)^x

7 0

1 year ago

A company famous for its nacho-flavored corn chips has developed two new formulas, A and B, which they hope their customers will

kifflom [539]

flavored nachos, so as to deliver it with proper mentioned reason.Hence,

Hence, This study is not well designed because formulas A and B are not compared with the original formula.

Step-by-step explanation:

As mentioned above, the cmpany needs to check the new upcoming flavors of nachos i.e., A and B and is said that it should meeet the requirement of getting better from their regular ones as well. For this, the company must release the two new nachos flavors A and B, irrespective of quantity and let the customers compare it with along the regular nachos.This demands for a fact that the 50 nachos been tasted should be compared with the regular flavored nachos so as to meet the demand getting better than the usual ones. For this to happen,the above mentioned study describes it the best.

This is the correct explanation for the above question

3 0

1 year ago

The age distribution of a sample of part-time employees at Lloyd's Fast Food Emporium is: Ages Number 18 up to 23 6 23 up to 28

Paraphin [41]

Answer:

Option B

Step-by-step explanation:

Options for the given question -

A. A histogram

B. A cumulative frequency table

C. A pie chart

D. A frequency polygon

Solution

Option B is correct

The data represents the frequency value for a given interval and hence it represents the cumulative form of frequency distribution.

6 0

1 year ago