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Nina [5.8K]
3 years ago
8

How do you write six times the quantity two x plus three y with numbers??

Mathematics
1 answer:
tresset_1 [31]3 years ago
3 0

Answer:

12x + 18y

Step-by-step explanation:

Lets first write the quantity "two x plus three y", this means, that we have x and y as unknowns. x is 2 times, so we have 2x; and y is 3 times, so he have 3y:

2x + 3y

Additionally we have that this quantity is six times, what means that it is multiplied by a number 6:

6(2x +3y)

If you like, we can apply the distributive property that means that given any three numbers a, b, c we have that a(b+c)=ab + ac. In our case a is 6, b is 2x and c is 3y. Thus, operating:

6(2x +3y) = 6*2x + 6*3y = 12x + 18y

So, "six times the quantity two x plus three y" is 12x + 18y

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5 0
3 years ago
A hose fills a hot tub at a rate of 2.65 gallons per minute. How many hours will it take to fill a 283 ​-gallon hot​ tub?
dsp73

Answer:

you need to substitute values on the next form of resolving this problem as  follows...

A hose fills up a hot tub at a rate of 3.2 gallons per minute. How many hours will it take to fill a 300 gallon hot tub?

please explain the method of unit conversions as thoroughly as possible.

 

Solution:

 

The rate of fill up is, Rate = 3.2 Gallons / minute = 3.2 g/min

The hut tub volume is 300 Gallons

 

You can set up this problem as follows:

 

Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?

 

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= 93.75 min

 

or simply the number minutes is the time required (T) the rate is (R) and the volume is (V)

such that T=V/R= (300g/3.2 g/min)= 93.75 min

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3 years ago
If you received a 5% raise and your final paycheck was 100(which includes your 5% raise), how much was your original paycheck?
Schach [20]

so you were earning say "x", so "x" is the 100% of  your paycheck.

but you're da bomb and so you got a raise of 5%, so the new amount of your paycheck is 100% + 5%, so is 105% really, and we happen to know that is $100.


\bf \begin{array}{ccll} \$&\%\\ \cline{1-2} 100&105\\ x&100 \end{array}\implies \cfrac{100}{x}=\cfrac{105}{100}\implies 10000=105x \\\\\\ \cfrac{10000}{105}=x\implies 95.238\approx x

8 0
3 years ago
NEED HELP ASAP!!!!!!
tino4ka555 [31]

Answer:

x=57

Step-by-step explanation:

63+60= 123

A triangle is 180 degrees

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