First, isolate the variables to either side.
4y = -7/5x -7
Second, simplify in terms of y.
y = -7/20x - 7/4
Third, plug 0 in for y to find the y intercept and factor the x side to make it simple. Then, find the value that makes the x-factor zero.
0 = (-7/4)(1/5x +1)
1/5x + 1 = 0
1/5x = -1
x = -5
The x-intercept is (-5,0)
Fourth, plug zero in for x to find the y-intercept.
y = -7/20*(0) -7/4
y = -7/4
Therefore, the y-intercept is (0,-7/4) and the x-intercept is (-5,0).
It depends if it is
1. 3x+(1/14)=(2x)/8 or
2. (3x+1)/14=(2x)/8
if it is 1
1.
3x+(1/14)=2x/8
simplify 2x/8
2x/8=x/4
3x+(1/14)=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
84x+2=7x
subtract 7x from both sides
77x+2=0
subtract 2 from both sides
77x=-2
divide both sides by 77
x=-2/77
2.
(3x+1)/14=2x/8
simpify 2x/8
2x/8=x/4
(3x+1)/14=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
(2)(3x+1)=7x
distribute
6x+2=7x
subtract 6x from both sides
2=x
Answer:
a. 10
b. 0.1
Step-by-step explanation:
a. The t-shirts comes in 5 sizes (Small,medium,large, extra large and extra extra large) and two colors orange and black. The total different type of shirts are 5*2=10 different type of t-shirts.Also if we make sample space of all shirts we can assess the total different type of t-shirts. sample space=S={small orange,medium orange,large orange,XL orange,XXL orange,small black,medium black,large black,XL black,XXL black}. n(S)=total different type of shirts=10.
b. P( large orange t-shirt)=n(large orange t-shirt)/n(S)=1/10=0.10.
Answer:2 272/975
Step-by-step explanation:
Given:
land area of Alaska: 1,700,000 square kilometers
land area of Florida: 0.10 of Alaska
To find the land area of Florida, we multiply its decimal to the land area of Alaska
1,700,000 sq. km * 0.10 = 170,000 square kilometers.
The land area of Florida is 170,000 square kilometers. It is equal to 0.10 or 10% of the land area of Alaska.<span />
