Write it as a mixed fraction 7/5 = 1 2/5
Answer:
140 people
Step-by-step explanation:
Answer:
36 laps Ronnie swim during practice .
Step-by-step explanation:
Let us assume that the laps that Ronnie swims be x .
Let us assume that the laps that Jackie swims be y .
As given
For every 3 laps that Jackie swims, Ronnie swims 4 laps.
i.e
3 × laps that Ronnie swims = 4 × laps that Jackie swims
3 × x = 4 × y
3x = 4y
Equation becomes
x + y = 63
Thus by using 3x = 4y .
Thus
4x + 3x = 63 × 4
7x = 252
x = 36
Put the value of x in the equation x + y = 63
36 + y = 63
y = 63 - 36
y = 27
Therefore the 36 laps Ronnie swim during practice .
Answer:
A translation of 3 units to the right and a translation of one unit upwards.
Step-by-step explanation:
When we analyze translations of whole figures, all the points in the figure suffer the same translation, then we only need to analyze the translation of one of the points.
This means that we can only see the translation from A to A'
First, let's find the coordinates of each point:
A (2, 3)
A' (5, 4)
The translation is given if we calculate the difference between these coordinates:
A' - A = (5, 4) - (2, 3) = (5 - 2, 4 - 3) = (3, 1)
The change in the x-value is 3.
The change in the y-value is 1.
Then we can conclude that:
A' is 3 units at the right of A
A' is 1 unit above A.
Then the translation is:
A translation of 3 units to the right and a translation of one unit upwards.
Answer:77
Step-by-step explanation:
Least Common Multiple of 7 and 11 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7 and 11, than apply into the LCM equation.
GCF(7,11) = 1
LCM(7,11) = ( 7 × 11) / 1
LCM(7,11) = 77 / 1
LCM(7,11) = 77
Least Common Multiple (LCM) of 7 and 11 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7 and 11. First we will calculate the prime factors of 7 and 11.
Prime Factorization of 7
Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:
7 = 71
Prime Factorization of 11
Prime factors of 11 are 11. Prime factorization of 11 in exponential form is:
11 = 111
Now multiplying the highest exponent prime factors to calculate the LCM of 7 and 11.
LCM(7,11) = 71 × 111
LCM(7,11) = 77
