Answer:
x= 0.083 y = 0.5
Step-by-step explanation:
step 1:
equation 1: 6x -y
equation 2 : 4y = 2
from equation (2) 4y = 2, we calculate value of y to get x
4y = 2 ... divide both sides by 4
<u>4y </u>= <u>2</u>
4 4 y = 1 /2. y = 0.5
Step 2:
input the value of y into the equation 1 to get x.
6x - y = 0
6x - 0.5 = 0
6x- 0.5 + 0.5 = 0 + 0.5 ( Add both sides of the equation by 0.5)
6x = 0.5.... divide both sides of the term by 6
<u>6x </u>= 0.5
6 6
x = 0.083
therefore, y = 0.5 and x = 0.0833
Answer:
Answer is 6/10 and 12/20
Step-by-step explanation:
Let the numerator be x.
3/5=x/10
x=30/5
x=6
The required fraction is 6/10
Now same method applies for taking 20 as denominator
3/5=x/20
x=60/5
x=12
The required fraction is 12/20
Answer:
The percentage increase in Jayana's postcard collection is 15%
Step-by-step explanation:
Jayana had 20 postcards last year
With 3 more postcards this year
From the given equation Quantity = Percent x Whole
Here;
Let P = Percent/100%
Quantity = Increment in postcard = 3 postcards
Whole = The total postcards from last year = 20 postcards
Hence,
3 postcards = P x 20 postcards
P = 3/20 = 0.15
Recall P = Percent/100%
∴ Percent = P x 100% = 0.15 x 100% = 15%
The percentage increase in Jayana's postcard collection is 15%
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
PLEASE SEE ATTACHED IMAGE.
For this case what you should do is use the following trigonometric relationship:
sine (theta) = C.O / h
Where,
theta: angle
C.O: opposite leg
h: hypotenuse
Substituting values we have:
sine (80) = 9 / x
Answer:
sine (80) = 9 / x