Answer:
see explanation
Step-by-step explanation:
(a)
Note the squared value in column 3 which is the square of 1 more than the row number, that is
row 2 → (2 + 1)² →3²
row 3 → (3 + 1)² → 4²
Find the square root of 676 = 26 → (25 + 1)² = 26²
Hence the row number is 25
(b)
The pattern in column 1 is [ row number × (row number + 2 ) + 1 ]
row number is n then n(n + 2) + 1 = n² + 2n + 1
Answer: 0.87 times per second (Or 52.2 times per minute)
Step-by-step explanation:
You need to make the conversion from minutes to seconds.
Remember that 1 minute has 60 seconds. Then 20 minutes to seconds is:
![(20minutes)(\frac{60seconds}{1minute})=1,200seconds](https://tex.z-dn.net/?f=%2820minutes%29%28%5Cfrac%7B60seconds%7D%7B1minute%7D%29%3D1%2C200seconds)
Find the number of times the heart beats in 1 second when it is rowing:
![x_1=\frac{(2,320times)}{1,200seconds}=1.93\ times\ per\ second](https://tex.z-dn.net/?f=x_1%3D%5Cfrac%7B%282%2C320times%29%7D%7B1%2C200seconds%7D%3D1.93%5C%20times%5C%20per%5C%20second)
Find the number of times the heart beats in 1 second when it is resting:
![x_2=\frac{(16times)}{15seconds}=1.06\ times\ per\ second](https://tex.z-dn.net/?f=x_2%3D%5Cfrac%7B%2816times%29%7D%7B15seconds%7D%3D1.06%5C%20times%5C%20per%5C%20second)
Then the difference is:
![difference=(1.93-1.06)\ times\ per\ second\\difference=0.87\ times\ per\ second](https://tex.z-dn.net/?f=difference%3D%281.93-1.06%29%5C%20times%5C%20per%5C%20second%5C%5Cdifference%3D0.87%5C%20times%5C%20per%5C%20second)
(Or 52.2 times per minute)
Answer:
15
Step-by-step explanation:
the pattern is like this
start with 1 then add 2 equals 3
start with 3 then add 3 equals 6
so 6 add 4 equals to 10
and the 5th term will be 10 add 5
equals to 15
Answer:
Joshua solved 7 math problems and tread 14 pages.
Step-by-step explanation:
Let x be the number of math problems Joshua solved. The number of pages Joshua read is twice the number of math problems he solved, then 2x is the number of pages Joshua read.
Joshua can solve each math problem in 2.5 minutes, then x math problems he solves in 2.5x minutes.
Joshua can read each page in 3 minutes, then 2x pages he reads in
minutes.
It took him 59.5 minutes to complete all of his homework, so
![2.5x+6x=59.5](https://tex.z-dn.net/?f=2.5x%2B6x%3D59.5)
Solve this equation:
![2.5x+6x=59.5\\ \\8.5x=59.5\\ \\85x=595\\ \\x=7\\ \\2x=14](https://tex.z-dn.net/?f=2.5x%2B6x%3D59.5%5C%5C%20%5C%5C8.5x%3D59.5%5C%5C%20%5C%5C85x%3D595%5C%5C%20%5C%5Cx%3D7%5C%5C%20%5C%5C2x%3D14)
Joshua solved 7 math problems and tread 14 pages.
Answer:
2.4
Step-by-step explanation:
40 percent * 6 =
(40:100)* 6 =
(40* 6):100 =
240:100 = 2.4
Now we have: 40 percent of 6 = 2.4
Question: What is 40 percent of 6?
Percentage solution with steps:
Step 1: Our output value is 6.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$6=100\%$.
Step 4: Similarly, $x=40\%$.
Step 5: This results in a pair of simple equations:
$6=100\%(1)$.
$x=40\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{6}{x}=\frac{100\%}{40\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{6}=\frac{40}{100}$
$\Rightarrow x=2.4$
Therefore, $40\%$ of $6$ is $2.4$