MATHEMATICS HIGH SCHOOL

A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 120 popped kernels. There are 1,600 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed and how many popped kernels are in the last partially filled box?

Answers

Answer 1
Answer:

In the last partially filled box the number of popped kernels is 36.

What is an expression?

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the popped corn is put into small popcorn boxes that each hold 120 popped kernels. There are 1,600 kernels in a pound of unpopped popcorn. All the boxes are filled except for the last box,

The number of the popped Kernels will be calculated as below:-

Divide 1600 Kernels by 120 propped Kernels:-

1600 / 120 = 13.3

Multiply 120 by 30 percent.

120 x 0.3 = 36

Therefore, in the last partially filled box the number of popped kernels is 36.

To know more about an expression follow

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Answer 2
Answer: 1600 / 120 = 13.3
You will need 14 boxes.

120 x 0.3 = 36
There were 36 kernels in the partially filled box.

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How many solutions are there to the equation below?

12x+6=5x

Answers

Answer:  There is one solution to the given equation.

Step-by-step explanation:  We are given to find the number of solutions to the following equation :

12x+6=5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Since the given equation is linear in one variable x, so it will have only one solution.

The solution of equation (i) is given by

12x+6=5x\n\n\Rightarrow 12x-5x=-6\n\n\Rightarrow 7x=-6\n\n\Rightarrow x=-(6)/(7).

Thus, there is one solution to the given equation.

Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th his check book shows a balance of $87.37 as of March 20th. the bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25 how much did Carlos deposit in his account between the March 15th and the March 20th.A. $125.87
B. $11.22
C. $162.37
D. $48.87

Answers

Answer:

$48.87

Step-by-step explanation:

Let the deposited amount between the March 15th and the March 20th be x

Balance on 15th march =  $56.75

The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25

And he also deposited x amount

After deposits and deductions

So, balance = 56.75 +x - (13.25+5)

The new balance on 20th march =  $87.37

⇒56.75 +x - (13.25+5)=87.37

⇒56.75 +x - 18.25=87.37

⇒38.5 +x =87.37

⇒x =87.37-38.5

⇒x =48.87

Hence Carlos deposited  $48.87  in his account between the March 15th and the March 20th.
March 15 balance:                  56.75
Add: Deposit                          x
Less: Outstanding check          18.25   ⇒ 5 + 13.25
March 20 balance:                  87.37

56.75 + x - 18.25 = 87.37
x = 87.37 - 56.75 + 18.25
x = 48.87   CHOICE D.

Outstanding checks are issued checks that are not yet deducted from the account.

38 subtracted from y is 62.3.What is the value of y ?

Answer Choices

-100.3


-24.3


24.3


100.3

Answers

the answer is 100.3
y - 38= 62.3
add 38 to both sides

(y - 38) + 38= 62.3 + 38
38 cancels out on the left side

y= 100.3


ANSWER: y= 100.3 (bottom choice)

Hope this helps! :)

A survey shows that the probability that an employee gets placed in a suitable job is 0.65. A psychometric test consultant claims that he could help place any employee in a suitable job based on the result of a psychometric test. The test has an accuracy rate of 70%. An employee working in a particular company takes the test. The probability that the employee is in the right job and the test predicts that he is in the wrong job is_______The probability that the employee is in the wrong job and the test predicts that he is in the right job is ________

Answers

The probability that the employee is in the right job and the test predicts that he is in the wrong job is_______The probability that the employee is in the wrong job and the test predicts that he is in the right job is ________

1. 30%
2. 35%

Psychometric tests are psychological tests used to measure and identify traits, preferences and other said characteristics that the psychometrician wants to locate. 

A box has 6 beads of the same size, but all are different colors. Tania draws a bead randomly from the box, notes its color, and then puts the bead back in the box. She repeats this 3 times. What is the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again?1/216

1/36

1/6

1/2

Answers

The probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again is 1/216.

What is Probability?

The probability helps us to know the chances of an event occurring.

\rm{Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)

As it is given that the box has 6 beads of the same size, but all are different colours. therefore, the probability of any bead being selected is 1/6.

Now, we know that when Tania picks a bead she puts it back in the box, therefore, the sample size of the box will be the same and also the probability of each bead will be the same as well.

Further, the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again can be written as,

\rm Probability = (1)/(6) * (1)/(6) * (1)/(6) = (1)/(216)

Hence, the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again is 1/216.

Learn more about Probability:

brainly.com/question/795909
Each specific bead color has (each time) a probability \frac{1}6 of being drawn.

Hence the final probability is \frac{1}6\cdot\frac{1}6\cdot\frac{1}6=\boxed{(1)/(216)}

What is 28 divided by 1,000

Answers

Answer:0.028

Step-by-step explanation:

Answer:

0.028

Step-by-step explanation:

I used a calculator.
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