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sergey [27]
3 years ago
10

Which answer correctly uses the distributive property to simplify the expression 6+4(3x-2)+5

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0
The circled ones are like terms so 6+(-8)+5 which is 3and then answer is 12x+3
hope this helps!:)

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A machine shop produces metal frames on two different machines. The average daily production on machine 1 is 300 frames, and the
statuscvo [17]

Answer:

The daily shop productivity is 480 frames

Step-by-step explanation:

The daily machine productivity refers to the TOTAL production made in a day.

The problem says that a shop produces metal on two different machines. It means that you must take into account the daily production of each one for finding the total production.

The first machine produces 300 frames in a day.

The second machine produces 180 frames in a day too.

So, if the first and the second machines are working together in a single day, the TOTAL daily production is the sum of the production of each one.

production=300+180=480

Thus, the daily shop productivity is 480 frames

4 0
3 years ago
What is the radius of a cylinder if it has a volume of 769.3 cubic meters and a height of 5 meters? (Use 3.14 for π.)
katen-ka-za [31]
769.3= (3.14) r^2 *5
153.86=(3.14) r^2
49= r^2
The square root of 49 is 7

The answer is 7.
6 0
4 years ago
Read 2 more answers
The inverse of F(C) = 9 5 C + 32 is
castortr0y [4]

F(C) = 95C + 32...
F(C) is y.
y = 95C + 32
Switch Y & C.
C = 95y + 32
C - 32 = 95y
(C - 32) / 95 = y
In the inverse, y is F-1(C)

F-1(C) = (C - 32) / 95

8 0
4 years ago
Read 2 more answers
Una diseñadora de modas que confecciona trajes de noche, tarda 3 horas en cortar y 2 horas en coser cada vestido de fiesta. Para
ella [17]

For this case we define the following variables:

x: Number of party dresses

y: Number of suits

You have 30 hours per week to cut, that is, the first equation is given by:

3x + 3y = 30\\

It is also known that 25 hours per week are available for sewing, that is:

2x + 3y = 25\\

It has a system of two equations with two unknowns, solving we have:

3x + 3y = 30\\\\2x + 3y = 25\\

Multiplying the second equation by -1:

3x + 3y = 30\\\\-2x-3y = -25\\

Adding up:

x + 0 = 5\\\\x = 5\\

Substituting x in the first equation:

3 * 5 + 3y = 30\\\\15 + 3y = 30\\

Clearing and:

3y = 30-15\\\\3y = 15\\

y = \frac{15}{3}\\\\y = 5\\

Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.

Answer:

5 Party dresses

5 Suits


5 0
3 years ago
Samantha measured 40 1/2 inches. Over the next 5 1/2 years, she grew to a height of 57 inches. During the 5 1/2 years, what was
Alexxandr [17]

Answer:3 in. per yr

Step-by-step explanation:

Present height of Samantha is 40\frac{1}{2}=\frac{81}{2}

After next 5\frac{1}{2} years i.e. \frac{11}{2} years

she grew to 57\ inches

Increase in her height=57-\frac{81}{2}=16.5\ inches

Increase in height per year is =\frac{16.5}{5.5}=3\ in.\ per\ year

3 0
3 years ago
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