Answer:
The plant grows 4 cm in 1 week.
Answer:
Area of rectangular land = 6x² - 28x + 30
Step-by-step explanation:
Given:
Length of rectangular land = 2x - 6
Width of rectangular land = 3x - 5
Find:
Area of rectangular land
Computation:
Area of rectangle = Length × Width
Area of rectangular land = [Length of rectangular land][Width of rectangular land]
Area of rectangular land = [2x - 6][3x - 5]
Area of rectangular land = (2x)(3x) - (2x)(5) - (6)(3x) + (6)(5)
Area of rectangular land = 6x² - 10x - 18x + 30
Area of rectangular land = 6x² - 28x + 30
Answer:
51
Step-by-step explanation:
PEMDAS means parenthesis (there are none), exponents (there are none), multiplication. So you multiply 8x18 to get 144. Then you have division, so 144/4 is 36. Finally, you add this number to 15 to get 51 as your final answer.
The mistake the student made in the second procedure is she tried to solve 3.7+2.6 the same way she solved 4.3+8.4, which that way doesn't always work. You have to understand how decimals work when it comes to adding them. The right way to solve 3.7+2.6 and be sure you are accurate is to line the numbers up. Then add the numbers behind the decimal which is 7+6. That equals 13. So you would out your 3 and carry your 1 over to the number in front of the decimal. So 3+2=5, plus the additional one you had to carry. Your final answer would be 6.3
This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12
To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5
Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours
For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours
Hence, each workout plans are done within 3/4 hours (or 45 minutes).
