Answer:
Yes
Step-by-step explanation:
To determine if (1, 2 ) is a solution of the inequality, substitute the coordinates into the inequality and if satisfied then they are a solution, that is
(6 × 1) - 2 = 6 - 2 = 4 > 3
Since 4 > 3 then (1, 2 ) is a solution
Work backwards.
Start with z = 4.
Now deal with the middle equation
y + 3z = 11 Substitute z = 4 and solve for y
y + 3(4) = 11 Subtract 12 from both sides
y + 12 = 11
y + 12 - 12 = 11 -12 Combine terms on the left and right
y = - 1 Now use the top equation for x
z = 4 z still = 4
2x + 4(-1) +3(4) = 14
2x - 4 + 12 = 14 Solve 3z
2x + 8 = 14 Subtract 8
2x + 8 - 8 = 14 - 8 Combine
2x = 6 Divide by 2
x = 6/2
x = 3
Answer
x = 3
y = - 1
z = 4
Answer: 24
Step-by-step explanation:
From the question, we are informed that Micah is buying items for a party and that there are 6 cups in a package and 8 plates in a package.
We are further told that he wants to have the same amount of each item. The least number of packages of cups he needs to buy would be calculated by finding the least common multiple of 6 and 8.
Multiples of 6 = 6, 12 18, 24, 30
Multiples of 8 = 8, 16, 24, 32, 40
The answer is 24 cups
Answer:
A
Step-by-step explanation:
simple interest (I) is calculated as
I = 
P is the principal. R the rate of interest and T the time in years
Here P = 880000, R = 3.5 and T = 2.5 , then
I = 
= 8800 × 3.5 × 2.5
= 77000 → A
Answer:
x is 100 and y is 40
Step-by-step explanation:
First make 500 into a number where it can be divisable by 3. 5x40=200
500-200=300, 300 divided by 3 equals 100
x=100
y=40
