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konstantin123 [22]
4 years ago
8

Which expressions are equivalent to 3x+ 3(x + y)?

Mathematics
1 answer:
Lunna [17]4 years ago
4 0

Answer:

6 x + 3 y = 3x+ 3(x + y)  or 3 (2 x + y)

Step-by-step explanation:

all exxpressions are equivalent

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Grace is at a bookstore with $75 to spend. She has plans to buy a reference book that cost $18 and some novels that cost $12 how
elixir [45]

Answer:

Step-by-step explanation:

12x+18=75

-18=-18

12x= 57

Divide by 12.

57/12=4.75

Grace can buy 5 books including the reference book

7 0
3 years ago
A company weighs 1,096 boxes of cereal and finds that 12.5% of them weighed less than one pound. Which of
Mice21 [21]

Answer:

137 boxes

Step-by-step explanation:

1096 boxes * 0.125(12.5% of boxes weighing less than a pound) = 137 boxes

8 0
3 years ago
Last question was inncorrectly typed:1.A sample of students who has taken a calculus test has a mean =78.2, mode =67, median 67.
vampirchik [111]

Answer:

(A) The data set of the sample of students who has taken a calculus test is right skewed.

(B) The average of female students in the class is 66.

Step-by-step explanation:

(A)

For a left skewed distribution the Mean < Median < Mode.

For a right skewed distribution the Mean > Median > Mode.

For a symmetric distribution the Mean = Median = Mode.

Given: Mean = 78.2, Median = 67 and Mode = 67

In this case the mean of the data is more than the median and mode.

Mean = 78.2>Median = Mode = 67

Thus, the data set of the sample of students who has taken a calculus test is right skewed.

(B)

Total number of student (n) = 35

Combined average (\mu_{c}) = 70

Number of male student (n_{M}) = 20

Average of male students (\mu_{M}) = 73

Number of female student (n_{F}) = 15

Average of female students = \mu_{F}

The formula to compute the combined average is:

\mu_{c}=\frac{n_{M}\mu_{M}+n_{F}\mu_{F}}{n_{M}+n_{F}}

Compute the value of \mu_{F} as follows:

\mu_{c}=\frac{n_{M}\mu_{M}+n_{F}\mu_{F}}{n_{M}+n_{F}}\\70=\frac{(20\times73)+(15\times\mu_{F})}{20+15}\\ 70\times35=1460+(15\times\mu_{F})\\\mu_{F}=\frac{2450-1460}{15} \\=66

Thus, the average of female students in the class is 66.

8 0
4 years ago
PLEASE HELP!!!!
Mandarinka [93]

Answer:

C) If you live in a mansion, then you do not have a small lawn to mow.

Step-by-step explanation:

<u> Statement is </u>

  • If you have a small lawn to mow, then you do not live in a mansion.
  • "If p then q"

<u>Equivalent statements to the given one: </u>

  • 1. Not p or q
  • 2. q or not p
  • 3. If not q then not p

<u>Options to identify equivalent statement </u>

A)  If you have a small lawn to mow, then you live in a mansion.

  • False

B)  If you do not have a small lawn to mow, then you live in a mansion.

  • False

C) If you live in a mansion, then you do not have a small lawn to mow.

  • True as per rule 3

D)  If you do not live in a mansion, then you have a small <u>yard </u>to mow.

  • False

Correct answer is option C

8 0
3 years ago
HELP ME FASTTTTTTT !!!!!!!!!!!!!!!!!!!!!!!!!
DedPeter [7]

Answer:

50 degrees ( Vertically opposite)

Hope it helps

Step-by-step explanation:

5 0
3 years ago
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