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3 years ago

8

Andrew picked vegetables from his garden and put them into bags. He put 10 carrots into each of 3 bags, 8 tomatoes into each of

4 bags, and 6 turnips into each of 5 bags. How many vegetables did he pick in all?

1 answer:

RoseWind [281]3 years ago

8 0

Answer: He will have 92 vegetables in all.

Step-by-step explanation:

3*10 = 30

8 * 4 = 32

6 * 5 = 30

30 + 30 + 32 = 92

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There are 4 quarters, 5 nickels and 3 dimes in a jar. One coin is randomly drawn,

vagabundo [1.1K]

Answer:

$\displaystyle\frac{5}{36}$

Step-by-step explanation:

Probability is used to find how likely an outcome is to happen. Probability can be expressed as a fraction with the total outcomes as the denominator and the number of successful outcomes (what you want to happen) as the numerator.

Sample Size

The sample size is the number of possible outcomes. In this case, the sample size will be the total number of coins. To find the sample size we need to add together all of the coins.

4 + 5 + 3 = 12

This means that the sample size is 12. For this type of probability, the sample size will serve as the denominator for each probability.

Replacement

In the question, it is stated that coins are replaced. This means that the sample size will not change at any point. So, the denominator will be the same for every probability.

Creating Probability Fractions

We are looking for the probability of getting a quarter and nickel, so we need to find the fractions that represent both situations.

First, let's find the quarter. As stated in the first paragraph, the number of successful outcomes is the numerator. There are 4 quarters, so 4 is the number of successful outcomes. Therefore, 4 will be the numerator. Then, 12 will be the denominator because 12 is the sample size.

$\displaystyle\frac{4}{12}$

Next, we need to find the probability of a nickel. Since there are 5 nickels, there are 5 successful outcomes. Then, the sample size is still 12 because there is replacement.

$\displaystyle\frac{5}{12}$

Complex Probability

Now we have the probability of both a quarter and nickel alone. However, this question asks about the probability of both, so this is an example of complex probability. To find complex probability, you have to multiply each probability together.

$\displaystyle\frac{4}{12} *\frac{5}{12}=\frac{20}{144}$

To reach the final answer we have to simplify the answer.

$\displaystyle\frac{20}{144} =\frac{5}{36}$

This means that the probability of pulling a quarter and then a nickel is 5/36.

3 0

2 years ago

65% of the 800 students at North High School ride the

jonny [76]

Answer:

520 out of 800 students ride the bus

Step-by-step explanation:

Given

$Proportion = 65\%$

$Students = 800$

Required

Determine the number of students $that\ ride\ the\ bus$

To do this, we simply multiply the proportion by the total number of students.

i.e.

$Bus = Proportion * Students$

$Bus = 65\% * 800$

Express the percentage as decimal

$Bus = 0.65* 800$

$Bus = 520$

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6 0

3 years ago

How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R

serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

x = liters of the 35% acid used.
y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0

2 years ago

The translation shown in the graph moves the figure to the right. What kind of translation is shown?

bulgar [2K]

Answer:

Horizontal

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

help At 1:00 P.M. the water level of a pool is 13 inches At 1:30 P.M. the water level is 18 inches At 2:30 the water level is 28

mamaluj [8]

The answer is 5 . because if you count the # it will go to 28

7 0

2 years ago