One third of a number is 12 less than the number itself

Answers

Answer 1
Answer:

Answer:

18

Step-by-step explanation:

1/3 n = n - 12  Cross multiply

n = 3(n - 12)

n = 3n -36

2n = 36

n = 36/2

n = 18

Answer 2
Answer: let the number = n
(1/3)n=n-12
(3)(1/3)n=(3)n-12
n=3n-36
-2n=-36
n=18

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The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are picked from the bag. Identify which type of sampling is used and why

Answers

The type of sampling used in this scenario is "simple random sampling." In other words, the type of sampling used in this scenario is simple random sampling because each contestant's name has an equal chance of being selected from the bag.

Simple random sampling is a method where each member of the population has an equal chance of being selected. In this case, all the contestant names are written on separate cards, and three names are picked from the bag. Since each card has an equal probability of being selected, this represents simple random sampling.

Other types of sampling, such as stratified sampling or cluster sampling, involve dividing the population into groups or clusters and selecting samples from those groups. However, since the scenario doesn't mention any specific grouping or clustering of the contestants, simple random sampling is the most appropriate classification.

Therefore, the type of sampling used in this scenario is simple random sampling because each contestant's name has an equal chance of being selected from the bag.

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The type of sampling used here is Stratified random sampling. This is used so that no contestant knows when to prepare and to test if they are actually ready for the contest.

Write an inequality for the given statement: Two-thirds of a number, decreased by 4, is less than 6.

Answers

Answer:

(2)/(3) x  < is the answer.

Step-by-step explanation:

Let number be x

two third of x = (2)/(3) x

two third of x decreased by 4 =  (2)/(3) x -4

which is less than 6 therefore mathematically it equals

(2)/(3) x  -4< 6

(2)/(3)x-4<6

To get (2)/(3) of a number you have to multiply the number by (2)/(3), which gives you (2)/(3)x then you subtract that by 4. The inquality faces the 6 because it is greater than (2)/(3)x-4 based on the statement above. The inquality always faces the greatest number. 

A restaurant has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven were used? 

Answers

It would approximately take 5 hours if with 2 it takes 3 hrs and the large one by its self 4 hrs. So it would be reasonable if it is one more hour

Final answer:

By understanding the rate at which each oven bakes the bread, we can calculate that it would take the small oven 12 hours to bake the bread for one day.

Explanation:

To solve this problem, we need to first understand the rate at which each oven bakes the bread. When both ovens are working together, it takes 3 hours to bake a day's worth of bread. This means their combined rate of work is 1/3 of the day's bread per hour. However, when only the large oven is used, it takes 4 hours to complete the same amount of work. Therefore, the large oven's rate of work is 1/4 of the day's bread per hour.

Our goal is to find the small oven's rate of work. To do this, we subtract the large oven's rate of work from the combined rate of work. This leaves us with 1/3 - 1/4 = 1/12 of the day's bread per hour. Therefore, it would take the small oven 12 hours to bake the bread for one day on its own.

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∠1 and ∠2 form a linear pair. If m∠1 = 5x + 9 and m∠2 = 3x + 11, find the measures of both angles.

Answers

Answer:

∠1 =109

∠2= 71

Step-by-step explanation:

if they are a linear pair that means they must both (when added together) equal 180 degrees, so this means we can add them and set them equal to 180!

8x+20=180

8x=160

x=20

then we just input them!

m∠1 = 5(20) + 9 = 109

m∠2 = 3(20) + 11 = 71

1. Round to the nearest hundredth. 1.824
A. 1.82
B. 1.83
C. 2
D. 1.8

Answers

Considering 1.824 (2 being hundredth) it would mean that this is 1.82 
A because 1.824 is rounded to 1.82 when rounding to the nearest hundredth.

Anyway you can help me out?

Answers

Okay, so to get the inverse function, you need to isolate the x first.

You can do this by multiplying by 4. Then, -2 to get just 3x and finally divide by 3 so that you just have x on its own. If we write this all out, we get (4x-2)/3.

Next, we need to substitute 24 into x's place. So, we have ((4x24)-2)/3. Then, we can just simplify. 4x24=96. 96-2=94. 94/3=32.6.

Hope this helps :)