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3 years ago

What is the answer to 8k-4(k-1)+7-k

Mathematics

2 answers:

seropon [69]3 years ago

8 0

8k-4k+4+7-k =
8k-4k-k+4+7 =
3k+11

kipiarov [429]3 years ago

3 0

Well first you have fallow the pemdas rules this means you have to solve your eeequation in order from parenthesis, exponents, multiplication, division, addition, and last subtraction... So first you have to do distributive property with you -4 and teh parenthesis this gives you 8k-4k+1+7-k now you have to add or subtract you common like terms( common like terms are terms that have the same thing for example 8k,-4k, and k are coomon like terms and 1 and 7 are coomon like terms) when you add them you will eb able to get your final answer.... Your answer should be "3k+8"\

Now if you wnat to solve for k you have to set every number aside to leave the k by itself. First subtract the 8 to the right side (you do this because 8 is a positive and the only way to get rid of a positive is with a negative) so now you should be left with 3k=-8 now our final step to leave k by itself is divide 3 in both sides( you do this because the only way to get rid of a multiplication is dividng) now you shoudl be left with K=-8/3. Good job!!!! we found our last result. this means that after everything we did your answer should be K=-8/3

Hope I explained well and that it helps you

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Simplify the surd 3√ 20 +√ 45

melisa1 [442]

Answer:

9 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify the radicals

$\sqrt{20}$

= $\sqrt{4(5)}$

= $\sqrt{4}$ × $\sqrt{5}$

= 2 $\sqrt{5}$

$\sqrt{45}$

= $\sqrt{9(5)}$

= $\sqrt{9}$ × $\sqrt{5}$

= 3 $\sqrt{5}$

Then

3 $\sqrt{20}$ + $\sqrt{45}$

= 3(2 $\sqrt{5}$ ) + 3 $\sqrt{5}$

= 6 $\sqrt{5}$ + 3 $\sqrt{5}$

= 9 $\sqrt{5}$

3 0

3 years ago

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What is the value of r?

Harrizon [31]

The answer is (B) -5.

4 0

4 years ago

Solve<br> 1.)solve 15 > - 2x -9<br> 2.) solve 3x + 8 < 29

kipiarov [429]

1)
15 > -2x-9
15+9 > -2x
24÷(-2) < x (the sign flips because you divide both sides by a negative number)
Hence, x > -12

2)
3x + 8 < 29
3x < 29-8
3x < 21
x < 7 (tada the answer)

5 0

3 years ago

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KHD M D CM<br> E20<br> 562 mm = [?] cm

Allisa [31]

56.2 cm. divide by 100

6 0

3 years ago

For each student in a certain class, a teacher adjusted the student's test score using the formula y = 0.8x + 20, where x is the

alexandr402 [8]

Answer:

Option B) 16

Step-by-step explanation:

We are given the following in the question:

$y = 0.8x + 20$

where x is the student's original test score and y is the student's adjusted test score.

We have to find the standard deviation of the adjusted test scores of the students in the class, if the standard deviation of the original test scores of the students in the class was 20.

We know that:

Adding a constant to each value in a data set does not change the value of the standard deviation.
Multiplying each value in a data set by a constant also multiplies the standard deviation by that constant.

Thus, if we add 20 to each data set then, the standard deviation does not change.

But multiplying each score by 0.8, changes the standard deviation 0.8 times.

Thus, we can write:

$\text{Standard deviation of the adjusted test scores}\\ = \text{Standard deviation of the original test scores of the students}\times 0.8\\= 20\times 0.8\\= 16$

Thus, standard deviation of adjusted score is 16.

5 0

3 years ago