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slavikrds [6]
3 years ago
12

A company has two manufacturing plants with daily production levels of 5x+17 and 3y-4,respectively.

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Complete question :

A company has two manufacturing plants with daily production levels of 5x + 11 items and 2x - 3 items, respectively, where x represents a minimum quantity. The first plant produces how many more items daily than the second plant?

Answer:

3x + 14

Step-by-step explanation:

Given that:

Production level of plant 1 = 5x + 11

Production level of plant 2 = 2x - 3

The first plant produces how many more items daily than the second plant :

Plant 1 production - plant 2 production

(5x + 11) - (2x - 3)

Open the bracket :

5x + 11 - 2x + 3

5x - 2x + 11 + 3

3x + 14

Daily production of plant 1 exceeds that of plant 2 by 3x + 14

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The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?
Sliva [168]

Answer:

\huge{ \boxed{ \bold{g =  - 2}}}

Step-by-step explanation:

In order to find g we have to use the formula for finding the slope of the line passing through two points that's

m =  \frac{y_2 -y_ 1}{x_2 -x_1 }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (g, -1) and (2, 5) and m = 3/2

We substitute it into the equation and find g

That's

\frac{3}{2}  =  \frac{5 -  - 1}{2 - g}  \\  \frac{3}{2}  =  \frac{5 + 1}{2 - g }  \:  \:  \:  \:  \:  \:  \:  \frac{3}{2}  =  \frac{6}{2 - g}  \\  \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\  - 3g = 12 - 6 \\  - 3g = 6 \\  \\  \frac{ - 3g}{ - 3}  =  \frac{6}{ - 3}  \\  \\ g =  - 2

We have the final answer as

<h3>g = - 2</h3>

Hope this helps you

7 0
1 year ago
How can logarithms be graphed with different bases?
yan [13]
You could use change of base formula
7 0
3 years ago
One day in the playground,the ratio of the number of boy to the number of girl is 3:5 later 6girls come, 9boy leave, the ratio o
choli [55]

Answer:

The number of boys are 18 and the number of girls are 30.

Step-by-step explanation:

The ratio of number of girls to the boys = 3 : 5

Let the number of girls is g and boys is b initially.

b : g = 3 : 5

5 b = 3 g ..... (1)

Now, girls are 6 + g and boys are b - 9

So, the ratio is

(b - 9) : (6 + g) = 1 : 4

4 b - 36 = 6 + g

4 b - g = 42 .... (2)

From ( 1 ) and ( 2 )

4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18

And , g = 5 x 18/3 = 30

So, the number of boys are 18 and the number of girls are 30.  

7 0
3 years ago
A store sells four printers for every five computers. The store sells 40 computers on Saturday. How many printers did it sell on
aleksley [76]
32 printers were sold:
P:C
4:5
_:40
40/5=8
4x8=32

3 0
2 years ago
There are 104 students in fourth grade at Allison’s school.One day, 15 fourth graders were absent. How many fourth graders were
stich3 [128]

Answer: 89 students remained at school that day.

Step-by-step explanation: If there are 104 students, and 15 are absent, you subtract, therefore, the answer is 89.

3 0
3 years ago
Read 2 more answers
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