Answer:
30
Step-by-step explanation:
1 inch / 12 miles = 2.5 inch / x Cross multiply
1*x = 12 * 2.5 Combine
x = 30 miles
Answer:
Step-by-step explanation:
integrate with respect to x
Area is symmetric so will be twice the integral from zero to 1
( I cannot seem to figure out how to make the lower limit negative in this editor)
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A = 6(-⅓x³ + x)
A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))
A = 6(⅔)
A = 4 units²
Answer:
See explanation
Step-by-step explanation:
1. Solve the system of two inequalities for y:

2. To graph both inequalities, first draw dotted lines -2x+3y=3 and 4x-3y=15 (dotted because the signs of inequalities are both without notion "or equal to"). Then choose appropriate part, substituting the coordinates of the origin:

So, the origin belongs to the top part of the second inequality and to the bottom part of the first inequality. The intersection of these two regions is the solution set to the system of two inequalities (see attached diagram).
Answer:
104
Step-by-step explanation:
Let's say that the numbers are x and y. So, we know that....
x+y=186
y-x=22
Now we can use the substitution method to find the numbers. y-x=22 turns into y=22+x. And now we can substitute to the second equation into the first equation.
x+22+x=186
2x=164
x=82
y=22+82
y=104
Our numbers are 82 and 104 and the larger integer is 104, so that's the answer.