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ser-zykov [4K]
3 years ago
7

Rewrite each expression by combining like terms. 8pq - 3pq 2m - 3m + 4

Mathematics
1 answer:
qaws [65]3 years ago
4 0

Answer:

  1. 8pq-3pq= 5pq
  2. 2m-3m+4 =4-m

Step-by-step explanation:

  1. The first equation shows two terms can be combine as follow: 8pq-3pq= (8-3)pq by applying common factoring. Then, because 8-3=5, it can be expressed as 5pq.
  2. In the second equation, we have only two terms that can be factored by combining the terms that share the same factor (which is m). Then, 2m-3m+4 can be expressed like m(2-3)+4. Because (2-3)=-1 and because the order of the sum does not affect the result, the result is 4-m.
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April jumps rope 1/3 hours each day how many minutes does April jump in a week?
timofeeve [1]

Answer:

140 minutes

Step-by-step explanation:

60/3 is 20.

20*7 is 140 minutes.

5 0
3 years ago
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At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 700 vines are plant
Delicious77 [7]

Answer:

Number of vines that should be planted are 150.

Step-by-step explanation:

The number of pounds of pounds of grapes produced per acre is represented by the expression A_{n}=(700+n)(10-0.01n)

Where n = additional vines planted

To maximize the production of grapes we will find the derivative of A(n) and equate it to zero.

A_{n}=(7000+3n-0.01n^{2} )

A'_{n}=(3-0.02n)

For A'_{n}=0

3 - 0.02n = 0

0.02n = 3

n = \frac{3}{0.02}

n = 150

To check whether the maximum value of the function is at n = 150, we will find the second derivative A(n).

A''_{n}=-0.02

Which shows A"(n) < 0

Therefore, A(n) has the maximum value at n = 150.

Therefore, number of vines that should be planted are 150.

5 0
4 years ago
Which is the definition of lower extreme a the largest piece of data in a set of data be the median of the lower half of the dat
olchik [2.2K]

Answer:

the smallest piece of data in a set of data

Step-by-step explanation:

6 0
3 years ago
Which value for x completes the conditional relative frequency table by column?
zheka24 [161]

<u>Answer-</u>

In the conditional relative frequency table by column, the value of x is 0.85

<u>Solution-</u>

From the paint color preference table,

Liked new paint color + Disliked new paint color = 1

\Rightarrow x+0.15 = 1

\Rightarrow x=1-0.15

\Rightarrow x=0.85

Therefore, we have x=0.85 or 85% of adults who like the new color of the paint.

7 0
3 years ago
The price of a new computer is $1,449 at your local store. This is 18% less than what it costs at the Brownstone Mall. How much
Komok [63]

Given:

Price of new computer at local store = $1,449

This is 18% less than what it costs at the Brownstone Mall.

To find:

The cost of new computer at the Brownstone Mall.

Solution:

Let x be the cost of new computer at the Brownstone Mall.

According to the question,

x-18\%\text{ of }x=1449

x-\dfrac{18}{100}x=1449

x-0.18x=1449

0.82x=1449

Divide both sides by 0.82.

x=\dfrac{1449}{0.82}

x=1767.07317

x\approx 1767.07

Therefore, the cost of new computer at the Brownstone Mall is $1767.07.

6 0
3 years ago
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