Answer:
X = 1
Y = 5
Step-by-step explanation:
we have to figure out what x and y = that make both answers correct
3 x 1 = 3
3 + 5 = 8
That means that the first equation is right with X = 1 and Y = 5
Let's see the second equation
5 x 1 = 5
5 + 5 = 10
That means both equations are right so the answer would be
X = 1 and
Y = 5
This is the concept of algebra, to calculate the proportion of wool in each item we proceed as follows;
Let the amount of wool used for hat be x
amount of wool in sweater will be 5x
the amount of wool used in scarf will be x-5
therefore the total amount of wool will be:
x+5x+(x-5)=550
x+5x+x-5=550
7x-5=550
7x=550+5
7x=555
hence;
x=555/7
x=79
the amount used in hat x=79g
amount used in sweater 5x=395g
amount used in scarf=79-5=74g
Answer:
AB = 8/ cos 60
Step-by-step explanation:
We want to find the hypotenuse AB
Since we have a right triangle
cos theta = adj/ hyp
cos 60 = 8/ AB
AB cos 60 = 8
AB = 8/ cos 60
Answer:
The mean is also increased by the constant k.
Step-by-step explanation:
Suppose that we have the set of N elements
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
Now if we increase each element of our set by a constant K, then our new set is:
{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}
The mean of this set is:
M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N
M' = (x₁ + x₂ + ... + xₙ + N*k)/N
We can rewrite this as:
M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N
and (x₁ + x₂ + ... + xₙ)/N was the original mean, then:
M' = M + (k*N)/N
M' = M + k
Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.
Monday . . . . . 2.5 miles
Tuesday . . . . . 4.6
Thursday . . . . 6.75
Saturday . . . . . 4.8
Total = 18.65 miles
Days per week = 4
Average miles per running day = 18.65/4 = 4.6625 miles
Rounded to the nearest 0.01 = 4.66 miles per running day
