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qaws [65]
3 years ago
7

Factor out the coefficient of 1/2d+6

Mathematics
2 answers:
natta225 [31]3 years ago
6 0

Answer:

Step-by-step explanation:

Factor out a 1/2

\frac{1}{2}(d+12)

Redistribute if you want to check your work

\frac{d}{2}+\frac{12}{2}  =\frac{1}{2}d+6

den301095 [7]3 years ago
3 0

Answer:

factoring out the 1/2 (that is the coefficient of the variable) would require you to divide the equation by one half, which is the same as multiplying by two. After doing this, the answer can be expressed as:

1/2 (d+12)

Step-by-step explanation:

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A box of fruit has four times more peaches than plums.
Ugo [173]

Answer:

The number of plums = 4

The number of peaches =  16

The number of nectarines =  1

Step-by-step explanation:

Let the number of peaches be = x

Let the number of nectarines be = y

Let the number of plums be = z

A box of fruit has four times more peaches than plums. This means that

The number of peaches = 4 X the number of plums.

i.e x = 4z

The box has 3 fewer nectarines than plums. This means that

Number of nectarines = number of plums - 3

i.e y = z - 3

If the box contains 21 pieces of fruit, this means that if we sum up all the peaches, nectarines, and plums in the box, we will get 21.

Peaches + Nectarines + Plums = 21

4z + z-3 + z = 21

6z =21 +3

z = 24/6

z = 4

Therefore, the number of plums = 4

The number of peaches = 4 X 4 = 16

The number of nectarines = 4 -3 = 1

7 0
3 years ago
G(x) = 6 - 2x<br> Find g(-4).
sergeinik [125]

Answer:

\huge \boxed{g( - 4) = 14}

Step-by-step explanation:

g(x) = 6 - 2x

To find g(-4) , substitute the value of x that's - 4 into g(x). That is for every x in g(x) , replace it with - 4

We have

g( - 4) = 6 - 2( - 4) \\  = 6 + 8 \\  = 14  \:  \:  \:  \:  \:

We have the final answer as

<h3>g(-4) = 14</h3>

Hope this helps you

5 0
3 years ago
The mean for a data set is 60. The Z-score for
Vladimir [108]

Answer:

D. a = 60 and b = 58.8

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Z-score for data point a is 0.

This means that a is the mean, that is, a = 60.

The z-score for data point b is -0.4.

This means that b must be a value below the mean, that is, a value below 60.

The option that satisfies a = 60 and b < 60 is option D, which is the answer.

7 0
3 years ago
What is the quantity proportional to 18/6
mario62 [17]

Answer:

18/6=3

Step-by-step explanation:

18/6÷3=6/2

6/2=3

7 0
3 years ago
What is the rate for 4 shirts for $32:00
EastWind [94]
The answer should be $8 if you are trying to find the unit rate. All you have to do is divide 32 by 4 and you get 8. Hope that helped.
3 0
4 years ago
Read 2 more answers
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