One of the quickest ways to find the LCM of two numbers is to use the prime factorization of each number and then the product of the least powers of the common prime factors will be the LCM of those numbers.
LCM-LOWEST COMMON MULTIPLE
Answer:
$25
Step-by-step explanation:
1/5 = $5
2/5 = $10
3/5 = $15
4/5 = $20
5/5 = $25
Step 1:
4y + x = 15
−9x + 5y = 20
Step 2: correct
4y + x = 15
x = 15 − 4y
Step 3: wrong
4y + x = 15
4y + (15 − 4y) = 15 wrong step
4y + 15 − 4y = 15
15 = 15
***once you have solved for a variable in one equation, you substitute it in the other equation
Corrected Step 3:
−9x + 5y = 20
-9(15 - 4y) + 5y= 20
(-9*15) + (-9*-4y) + 5y= 20
-135 + 36y + 5y= 20
-135 + 41y= 20
add 135 to both sides
41y= 155
divide both sides by 41
y= 155/41 or 3 32/41 or 3.78
ANSWER: The x value in step 2 should have been substituted in the opposite equation in step 3. The y solution would then be 155/41 or 3 32/41 or 3.78
Hope this helps! :) Would love to be marked brainliest.
1.5 times 7 days in a week is 10.5 cups a week
10.5 divided by 16 cups in a gallon is 0.65625 gallons per week
0.65625 or
gallons per week
3/4 cups of orange juice for 1 smoothie would be 3/4 x 2 = 2 smoothies.
3/4 (.75) x 2= 1 1/2 cups of orange juice.
