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seropon [69]
3 years ago
11

Expand the expression and combine like terms. -1/2(-3y+10)

Mathematics
2 answers:
emmainna [20.7K]3 years ago
5 0
Multiply out the bracket:
(-1/2×-3y)+(-1/2×10)
-1/2×-3= 1.5 as the negatives cancel out
-1/2×10= -5
So the answer is 1.5y-5 or 3/2y-5 if you prefer a fraction

Irina-Kira [14]3 years ago
3 0

Answer:

\frac{3}{2}(y)-5

Step-by-step explanation:

The given expression is

-\frac{1}{2}(-3y+10)

We need to find the expanded form of given expression.

According to distributive property, if a,b and c are three real numbers then

a(b+c)=ab+ac

Using distributive property, the given expression can be written as

-\frac{1}{2}(-3y)-\frac{1}{2}(10)

On further simplification we get

\frac{3}{2}(y)-5

Two terms are called like terms if they have same variable of same power.

In the above expression we do not have like terms.

Therefore, the expanded form of given expression is \frac{3}{2}(y)-5.

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Data:

15 16 14 15 19 17

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Now we look at the absolute deviations, each of which is the absolute value of a score minus the mean, basically the distance of the score to the mean .

Scores   15 16 14 15 19 17

AbsDev    1  0  2  1    3  1

The sum of the absolute deviations is 8 and there are six of them so the

Mean Absolute Deviation = 8/6 = 4/3

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7 0
3 years ago
For what power of q is its value 1?​
DedPeter [7]

Answer:

  0, for q ≠ 0 and q ≠ 1

Step-by-step explanation:

Assuming q ≠ 0, you want to find the value of x such that ...

  q^x = 1

This is solved using logarithms.

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  x·log(q) = log(1) = 0

The zero product rule tells us this will have two solutions:

  x = 0

  log(q) = 0   ⇒   q = 1

If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to <em>any</em> power.

_____

<em>Additional comment</em>

The applicable rule of logarithms is ...

  log(a^b) = b·log(a)

4 0
2 years ago
You buy a sandwich for ​$3.85​, an apple for ​$0.​05, and a bottle of juice for ​$1.15. What is the total​ cost?
3241004551 [841]

Answer:

5.05

Step-by-step explanation:

3.85+0.05+1.15

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5 0
3 years ago
Read 2 more answers
2/3A=-24 <br><br> this the last one that I need help on.
pychu [463]
You can answer this question in numerous ways but one simple way is by multiplying fractions. 

<span>2/3 of 24 is also 2/3 of 24/1 </span>
<span>To get the answer, you must multiply 2/3 by 24/1 </span>

<span>To do this, you multiply the numerator (the top number) by the other numerator. That is, 2 x 24 . The answer is 48. </span>

<span>Then, multiply the denominators (the bottom numbers) by each other. That is, 3 x 1. The answer is 3. </span>

<span>The answer is 48/3. But you must continue simplifying. </span>

<span>What is 48 divided by 3? 16. </span>

<span>If you do not understand it that way, think of it in a simpler way. </span>

<span>Say there are 24 slices of pieces. </span>

<span>What is one third of those 24 slices? </span>

<span>24 divided by 3 = 8. </span>

<span>Now you want TWO thirds. So all you do is multiply 8 by 2. </span>

<span>That gives you 16. 
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3 years ago
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The formula for the perimeter of a rectangle is P = 2 (1+w) solve for w.
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2(1+w)=P\ \ \ \ |\text{use distributive property}\\\\2+2w=P\ \ \ \ |-2\\\\2w=P-2\ \ \ \ |:2\\\\\boxed{w=\dfrac{P-2}{2}}

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3 years ago
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