Another way to write this is:
x = 23y + 5
xy = 6732
Now plug in the first equation into the second:
(23y + 5)y = 6732
23y^2 + 5y - 6732 = 0
Either use quadratic equation or factor:
(y - 17)(23y + 396) = 0
y = 17 or -396/23
You know you can automatically eliminate the second y because it's negative and you need the two integers to multiply to a positive number (6732).
Plug y = 17 back into either equation (second might be easier):
17x = 6732
x = 396
86. D. -10
87. H. -6, -3, 0, 2
88. Quadrant 1
Answer:
Step-by-step explanation:
First you would see how many times 3 would go into 22 and it would be 7 with a remainder of 1. Then you would do 7 times 3 which is 21. And 22 minus 21 is 1. Then your answer would be 7 with a remainder of 1. If you don't want a remainder, and you want a decimal then you would add a decimal point after the 22 and then add a 0. You would bring down the zero and then the remainder of one would be 10 then you would see how much 3 goes into 10, and it only goes 3 times. Your answer would be 7.3 with a remainder of 1, If you keep going you will see it becomes a repeating decimal. *Hope it helped*
Let me give the significations following
natural numbers :ACA counting numbers the numbers you naturally say when counting.
whole numbers: include all natural numbers zero
Integers: include all whole numbers and their opposites.
Rational: can be written ASA fraction or ratio of two integers also decimals that terminate or repeat
Irrational: can not be written a fraction, decimals, do not terminate or repeat.
Answer to A and B.
The area of rectangle: 22.8×14.5=330.6 ft²The area of rectangle: 22.8×14.5=330.6 ft²
The area of triangle: 12⋅12⋅22.8=136.8 ft²The area of triangle: 12·12·22.8=136.8 ft²
The total area of figure: 330.6+136.8=467.4 ft²The total area of figure: 330.6+136.8=467.4 ft²
B: In order to find how many gallons of paint are needed, we need to divide the total area that needs to be painted (467.4 square ft) by the area one gallon covers (350 square ft)
467.4 ÷ 350 ≈ 1.34 gallons
Since only whole gallons of paint can be purchased, you will need 2 gallons of paint.
At $20 each, the cost will be 2 x $20 or $40.
