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OleMash [197]
3 years ago
8

You need 70 boxes, right now you have 35 boxes and you get 10 boxes a hour. What is the expression

Mathematics
2 answers:
mihalych1998 [28]3 years ago
7 0
I think answer is 35 + 10x - 70
RoseWind [281]3 years ago
4 0

Answer:

35 + 10x = 70

Step-by-step explanation:

10 boxes an hour is the independent variable since we control how many hours we work. 35 is what we add since that is how many boxes we already have. Finally 70 boxes is how many boxes we want in total, therefore the constant and variable equals 70.

I hope this helped :)

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a collection of dimes and quarters is worth $19.85. There are 128 coins in all. How many of each type of coin are in the collect
PolarNik [594]

Number of dimes were 81 and number of quarters were 47

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

<em><u>Given that There are 128 coins in all</u></em>

number of dimes + number of quarters = 128

d + q = 128 ------ eqn 1

<em><u>Also given that collection of dimes and quarters is worth $19.85</u></em>

number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 19.85

d \times 0.10 + q \times 0.25 = 19.85

0.1d + 0.25q = 19.85  -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

d = 128 - q -------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

0.1(128 - q) + 0.25q = 19.85

12.8 - 0.1q + 0.25q = 19.85

12.8 + 0.15q = 19.85

0.15q = 7.05

<h3>q = 47</h3>

Therefore from eqn 3,

d = 128 - q

d = 128 - 47

<h3>d = 81</h3>

Thus number of dimes were 81 and number of quarters were 47

4 0
3 years ago
A certain plant runs three shifts per day. Of all the items produced by the plant, 50% of them are produced on the first shift,
Snezhnost [94]

Answer:

0.2941 = 29.41% probability that it was manufactured during the first shift.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured during the first shift.

Probability of a defective item:

1% of 50%(first shift)

2% of 30%(second shift)

3% of 20%(third shift).

So

P(A) = 0.01*0.5 + 0.02*0.3 + 0.03*0.2 = 0.017

Probability of a defective item being produced on the first shift:

1% of 50%. So

P(A \cap B) = 0.01*0.5 = 0.005

What is the probability that it was manufactured during the first shift?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.005}{0.017} = 0.2941

0.2941 = 29.41% probability that it was manufactured during the first shift.

6 0
2 years ago
The diameter of a Frisbee is 12 inches. what's the area of the Frisbee?
xenn [34]
A= πr² = π × 6² = "113.1" is the area of the frisbee. 

Please put me as brainliest.
7 0
3 years ago
A large college wishes to determine the average SAT scores for students who apply from New York. They surveyed 105 students from
sweet [91]

Answer:

Statements I and II

Step-by-step explanation:

In Statistics, parameter is any numerical value that characterizes a population while statistics are numerical values that characterizes a sample from a given population.

Statistics are most often used to estimate the population parameters

For example the sample mean is a statistic and the population mean is a paranmeter

The mean SAT score of all students from New York is the parameter.

The mean SAT score of 105 students from New York is called the statistic.

The correct choice is the third option.

5 0
3 years ago
On another map, the distance between Saugerties and Kingston is 2 inches. What would the distance from Saugerties to Catskill be
antoniya [11.8K]
6 inches hope I helped
3 0
2 years ago
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