Answer:
x = 6
Step-by-step explanation:
Let x = first number
x+4x = 30
5x = 30
Divide by 5
5x/5 =30/5
x = 6
Multiplying both sides by 3, we get (3/9)*(2m-16)=(2m+4). Next, we multiply both sides by 9 and expand to get 6x-48=18m+36. Subtracting 6x and 36 from both sides, we get 12x=-48-36=-84. After that, we divide both sides by 12 to get m=-7
Answer:
2½
Step-by-step explanation:
First find the Least Common Denominator [LCD], which is 6, then convert 5⅙:
5⅙ → 4 7⁄6
You see, we regrouped 1 from 5⅙ to make sure that the top mixed number had a higher value than the bottom mixed number, so it is much easier to work with.
I am joyous to assist you anytime.
Let Q1 and Q2 be the quotients from dividing 32 and 58 respectively.Then 32 Q1 + 30 = 58 Q2 + 4432 Q1 = 58 Q2 + 1416 Q1 = 29 Q2 + 716 Q1 = (16 + 13)Q2 + 716 Q1 = 16 Q2 + 13 Q2 + 716(Q1 - Q2) = 13 Q2 + 7Because Q1 and Q2 are integers, we have to find Q2 whereby 13Q2 + 7 is divisible by 16.After some try-and-error, we get Q2 = 13. That is 13*13 + 7 = 176Therefore, Q1 - Q2 = 11 --> Q1 - 13 = 11 --> Q1 = 2432*24 + 30 = 58*13 + 44 = 798.I am 798
Answer:
Rate of jogging is 4.6 miles per hour.
Step-by-step explanation:
Rachel jogs 20 feet in 3 seconds and we have to find the rate of jogging in miles per hour.
Since 1 feet = 0.000189394 miles
Therefore, 20 feet = 0.0037879 miles
Similarly, 1 second = hour
Therefor, 3 seconds =
= hours
Formula to calculate the rate =
=
= 1200 × 0.0037879
= 4.545
≈ 4.6 miles per hour
Therefore, rate of jogging is 4.6 miles per hour.