X + y is the number of students who were surveyed.
x is the number who own a bike.
y is the number who don't.
the ratio of the ones who own a bike and the ones who were surveyed is x / (x + y)
that ratio is 7/8.
you get x / (x + y) = 7/8
multiply both sides of this equation by (x + y) to get x = (x + y) * 7/8
simplify to get x = 7/8 * x + 7/8 * y
subtract 7/8 * x from both sides of this equation to get:
1/8 * x = 7/8 * y
solve for x to get x = 7 * y
this means that the number of students who own a bike is 7 times the number of students who don't.
divide both sides of that equation by y to get x/y = 7/1.
that means that the ratio of students who own a bike to the number of students who don't is equal to 7/1.
the problem states that the difference between the number who own a bike and the number who don't is 72.
this means that x - y = 72
from the equation of x = 7 * y, replace x with 7 * y in the equation of x - y = 72 to get:
7 * y - y = 72
simplify to get 6 * y = 72
divide both sides of that equation by 6 to get y = 72/6 = 12
this means that the number of students who do not own a bike is 12.
since x = 7 * y, then x = 7 * 12 = 84.
this means that the number of students who own a bike is 84.
since the number of students is x + y, this means that the number of students who were surveyed is 84 + 12 = 96.
let's see if this is right.
96 students were surveyed.
84 own a bike and 12 don't.
the difference between the ones who own a bike and the ones who don't is 84 - 12 = 72.
the ratio of the ones who own a bike and the number surveyed is 84/96 = 7/8.
solution is 96 students were surveyed.
Answer:
the answer to the second one is (205 - 15)/2.
Lilly has 110.
Severus has 95.
Step-by-step explanation:
Because 205-15 = 190 so if you divide that by 2 then you will get the amount that Severus had which is 95 meaning that Lilly also has 95 but since she has 15 points higher then she has 110 so 95+110=205.
Where is the image? Show the image?
Use a ruler and measure it. We can't tell from the picture. Use the scale provided that 1 cm represents 5 feet.
Answer:
50%
Step-by-step explanation:
Is means equals and of means multiply
4 = P * 8
Divide each side by 8
4/8 = P 8/8
.5 = P
Multiply each side by 100 to change from decimal form to percent form
50% = P
4 is 50% of 8
