The second one and the fourth one.
Step-by-step explanation:
As the problem states, it takes 166.5 gallons of water in 3 mins. Since it states it is a proportional relationship, we know that 166.5/3 is the number of gallons pumped in 1 minute. We can write this as g(the number of gallons) = 166.5/3 * m(the number of minutes) ! In additon, 166.5/3 is equivalent to 55.5, which gives us the second and the fourth equation correct!
Answer:
x>8 and x<6
Step-by-step explanation:
well first the values of x-7 have to be greater than 1 or, less than -1
because if x-7=-2 then |-2|=2>1 satisfying the equation
so we have
and we have
to graph it it goes from (-∞,6)∪(8,∞)
Answer: option C is the correct answer.
Step-by-step explanation:
The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. This means that the amount that she saved per week is
440/8 = $55
If she saves $55 in 8 weeks, the number of weeks left is
27 - 8 = 19 week
Amount that she would save in 19 weeks is
19 × 55 = 1045
Total amount saved in 27 weeks is
1045 + 440 = $1485
Therefore, the conclusion that you can make about Chuy's plan is
C. Chuy will save more than he needs and will meet his goal in less than 27 weeks.
Answer: she uses 2 eggs for one batch of brownies and 4 eggs for one batch of cookies.
Step-by-step explanation:
Let x represent the number of eggs that she uses for one batch of brownies.
Let y represent the number of eggs that she uses for one batch of cookies.
Last month, she made 2 batches of brownies and 3 batches of cookies. This means that
2x + 3y = 16 - - - - - - - - - -1
The month before, she baked 1 batch of brownies and 1 batch of cookies, which required a total of 6 eggs. This means that
x + y = 6 - - - - - - - - - - - - - 2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
2x + 3y = 16
2x + 2y = 12
Subtracting, it becomes
y = 4
Substituting y = 4 into equation 2, it becomes
x + 4 = 6
x = 6 - 4 = 2
Answer:
No solution
Step-by-step explanation:
To eliminate is to get rid of one of the variables.
You can choose to either add each term in the equations or subtract each term in the equation.
For a variable to be eliminated, there must one pair that have the same constant with it. Each equation already has the same constant with a variable.
Try adding them.
. y - x = 15
<u>+ y - x = 5</u>
2y - 2x = 20 No variables were eliminated.
Try subtracting.
. y - x = 15
<u>- y - x = 5</u>
0y - 0x = 10 All variables were eliminated.
. 0 = 10 This is false.
This system of equations cannot be solved.
Graphically, these two lines would have the same slope and are parallel. The solution to a system is same as the point of intersection. Parallel lines never meet, never intersect, therefore there is no solution.
