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EleoNora [17]
2 years ago
8

Simplify 1/3(-32.48-14.02)

Mathematics
1 answer:
Anni [7]2 years ago
4 0

Answer:

The answer is -15.5

Step-by-step explanation:

1/3(-32.48 - 14.02)

= 1/3 (-46.5)

= -15.5

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the numbers 2-12 are written on cards and placed in the bag.what is the probability of picking an even number then replacing it
lorasvet [3.4K]

We have the cards numbered as 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

Sample number is, n(S)=11.

We pick a card and want to get even number like 2, 4, 6, 8, 10, and 12.

Probability of picking an even number would be :-

P(even numbers) = \frac{6}{11}

Now we replace the card and want to get a 7 in second attempt.

Probability of picking a 7 would be :-

P(number 7) = \frac{1}{11}

Now Probability of this event = P(even numbers) × P(number 7)

Probability = (\frac{6}{11} )(\frac{1}{11} ) = \frac{6}{121}

So final answer is \frac{6}{121}.

3 0
3 years ago
Is (3,-1) a solution of the graphed system of inequalities?
xeze [42]

Yes, (3,-1) is a solution to the graphed system of inequalities.

<h3>What are system of inequalities?</h3>

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.

A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.

As we can see in the graph that the two lines are interest in the second quadrant at point such as(x, -y).

So, the point will be a solution also because it lies in the shaded region.

Therefore, Yes, (3,-1) is a solution to the graphed system of inequalities.

Learn more about graphing inequalities here:

brainly.com/question/19598687

#SPJ1

6 0
2 years ago
Darren fed his dog 3/4 pound of canned food and 1 1/3 pounds of dry food today. How many pounds of food was that in all?
Evgen [1.6K]

Answer:

2 1/12 lbs

Step-by-step explanation:

Add the canned and the dry together

3/4 + 1 1/3

Get a common denominator of 12

3/4 *3/3  + 1 1/3 *4/4

9/12 + 1 4/12

1 13/12

1 + 12/12 + 1/12

2 1/12 lbs

3 0
2 years ago
Read 2 more answers
Is 11/128 equal to a terminating decimal or a repeating decimal ? Explain how you know
Ostrovityanka [42]

We need to determine whether \frac{11}{128} is a terminating decimal or a repeating decimal.

Let's solve this question using the long division method

First, let's identify the divisor and dividend. The number to be divided is 11 hence this is the dividend, and it needs to be divided by 128 which is the divisor

Next, since the divisor (128) is greater than the dividend (11) it can not divide 11. Hence, we will introduce a decimal point in quotient, and append a 0 next to 11 and divide 110 by 128. Again, 128 is greater than 110 so we will introduce a 0 in the quotient, and append another 0 next to 110, and will divide 1100 by 128. We will see what multiple of 128 is less than or equal to 1100. That multiple is 8. So we write 8 in the quotient and multiply 128 with 8 and subtract the product (128*8 = 1024) from 1100. The remainder that we get is 76.

Next, we append a 0 to the remainder and divide 760 by 128. Now, we see what multiple of 128 is less than or equal to 760. That multiple is 5. So we write 5 next to the quotient and multiply 128 with 5 and subtract the product (640) from 760. Now, the remainder is 120.

Next, we append a 0 to the remainder and divide 1200 by 128. Now, we see what multiple of 128 is less than or equal to 1200. That multiple is 9. So we write 9 next to the quotient and multiply 128 with 9 and subtract the product (1152) from 1200. Now, the remainder is 48.

Next, we append a 0 to the remainder and divide 480 by 128. Now, we see what multiple of 128 is less than or equal to 480. That multiple is 3. So we write 3 next to the quotient and multiply 128 with 3 and subtract the product (384) from 480. Now, the remainder is 96.

Next, we append a 0 to the remainder and divide 960 by 128. Now, we see what multiple of 128 is less than or equal to 960. That multiple is 7. So we write 7 next to the quotient and multiply 128 with 7 and subtract the product (896) from 960. Now, the remainder is 64.

Next, we append a 0 to the remainder and divide 640 by 128. Now, we see what multiple of 128 is less than or equal to 640. That multiple is 5. So we write 5 next to the quotient and multiply 128 with 5 and subtract the product (640) from 640. Now, the remainder is 0.

Hence, we have solved the entire problem

Last, we look at the quotient i.e. 0.0859375, which is the solution to the problem. We see that the quotient has a definite number of digits in it, and terminates at 5. Hence, this is a terminating decimal.

A repeating decimal is one in which a particular pattern after the decimal point keeps re-occuring, which is not the case here. Hence, \frac{11}{128} is a terminating decimal.

Please refer to the attached image for visualization

3 0
3 years ago
Read 2 more answers
Don't know how to do this<br><br> simplify each expression by combining terms
Ilya [14]

Answer:

Combining like terms is actually pretty straightforward, you just have to combine like terms. In the problem 5c+2c, it would equal 7c since c is a common variable in this equation.

In the next question 16p+5+p-3x+6-x, it would equal 17p-4x+11 because 16p+p is 17p, -3x-x is -4x, and 5+6 equals to 11.

In the third question 18p+3-8p-5 would equal to 10p-2 since 18p-8p equals to 10p, and 3-5 equals to -2.

In the last question 9u+11v-22u+12v, it would equal to -13u+23v because 9u-22u equals to -13, and 11v+12v is 23v.

I hope this helped you!

7 0
3 years ago
Read 2 more answers
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