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Anon25 [30]
3 years ago
7

In a paint factory, an old conveyer line has filled 10 barrels of paint, and is filling more at a rate of 2 barrels per minute.

A worker just switched on a newer line that can fill 3 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled?
Simplify and put into Slope-Intercept form
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

First line:

y = mx+b  where m is the slope and b is the y intercept

y = 2x + 10

Second line

y = mx+b

y = 3x+0  since there are no barrels filled on this line when they flip the switch

Setting the two equations equal

2x+10 = 3x

Subtract 2x from each side

2x+10-2x= 3x-2x

10 = x

Each line will have filled 10 barrels when they numbers are equal.

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Write a polynomial that represents the area of the shaded region
marusya05 [52]
<h3>Answer: x^2-3x+36</h3>

=========================================

Explanation:

The larger rectangle has area of (x+1)(x+1) = x^2+2x+1 through the use of the FOIL rule or distribution

If you use distribution, then it might help to let y = x+1 so we'd have y(x+1) lead to xy+1y which becomes x(x+1)+1(x+1). From there it might be easier to see how to get x^2+2x+1 after everything distributes again and simplifies.

The smaller rectangle has area 5x-35 which is found by distributing 5(x-7)

To get the shaded area, we subtract the two rectangle areas found above

shaded area = (larger area) - (smaller area)

shaded area = (x^2+2x+1) - (5x - 35)

shaded area = x^2+2x+1 - 5x + 35

shaded area = x^2-3x+36

6 0
3 years ago
I really need some help!
mylen [45]

Answer: 89

Step-by-step explanation: First find the mean add all the numbers up and divide by the amount of numbers. 641/7 is 91.57. She needs at least atleast a 89.

7 0
3 years ago
Can someone please help me with numbers 23 and 24 it is easy
Dmitriy789 [7]

ok so I am no expert (Actually i am it says it on my profile) but the answer is 69/5555*^ I hope that this helps you and if it was so easy then why can't ya do it buddy! lol jkjkjkjk

8 0
4 years ago
A coat that originally sold for $369.00 is on sale at a 40% discount? How much will you pay for the coat?
Triss [41]
The coat will cost $221.40. If you move a decimal two spaces to the left from 40% (.40) and multiply it by $369.00, you'll get $147.60. You then subtract $147.60 from $369.00 and get $221.40, the final price of the coat.

5 0
3 years ago
Read 2 more answers
The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of equations that
Nady [450]

Step-by-step explanation:

2×length + 2×width = 45

length = 4×width

now, we are using the second equation (a variable identity) in the first equation

2×4×width + 2×width = 45

8×width + 2×width = 45

10×width = 45

width = 45/10 = 4.5 in

length = 4×width = 4×4.5 = 18 in

the area of the rectangle is

length × width = 18 × 4.5 = 81 in²

8 0
2 years ago
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