Make the two equations equal together and solve for x
(x/3) = -2x+7
multiple both sides by 3
x=-6x+21
solve for x
7x=21
x=3.
now plug in 3 into one of the equation to find your y value.
y=-2(3)+7
y=1
write your answer as a coordinate; (3,1)
Answer:
Step-by-step explanation:
The volume of the prism is 3 cube units, which means that the prism can be filled with 3 
.
Here, there are 64 cubes with 1/4 units side lengths in 1 cubic unit.
Since the rectangular prism is made up of 3 cubic units, we would have
3 * 64 total cubes with 1/4 units side lengths.
Therefore, it takes 192 of the 1/4 unit cubes to fill the prism.
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Answer:
54
Step-by-step explanation:
54
Answer:
Number of pounds of cashews = x = 14.96 pounds
Number of pounds of Brazil nuts = y = 19.04 pounds
Step-by-step explanation:
Let us represent:
Number of pounds of cashews = x
Number of pounds of Brazil nuts = y
The nut shack sells cashews for $6.00 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 34 pound mixture that sells for $5.44 per pound
Our system of equations is given as:
x + y = 34...... Equation 1
x = 34 - y
6x + 5y = 34 × 5.44
6x + 5y = 184.96.......Equation 2
Ww substitute : 34 - y for x in Equation 2
6(34 - y) + 5y = 184.96
204 - 6y + 5y = 184.96
Collect like terms
- 6y + 5y = 184.96 - 204
-y = -19.04
y = 19.04 pounds
Solving for x
x = 34 - y
x = 34 - 19.04
x = 14.96 pounds
Number of pounds of cashews = x = 14.96 pounds
Number of pounds of Brazil nuts = y = 19.04 pounds
112,811 rounded to the nearest hundred thousand is 100,000
