Answer:
m = 13
Step-by-step explanation:
To isolate the variable, you undo what is being done to it. Here, we have the variable being multiplied by 7, hence, we divide both sides by 7 and the result is the variable isolated and solved.
1. 7m = 91
2. (7m)/7 = 91/7
3. m = 13
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Since the expression 7h + 1.50d can be used to find the total earnings. We just need to substitute the given data to the expression to solve the problem.
7(15) + 1.50(8)
105 + 12 = 117
Colton's total earnings after working 15 hours and making 8 deliveries is 117 dollars.
Answer:
0, 1, 2.
Step-by-step explanation:
5 - 3x <= 7
-3x <= 2
x >= -2/3 (the inequality sign flips as we are dividing by a negative value)
4x + 1 < 13
4x < 12
x < 3.
So the integer values satisfying the inequalities are>
0, 1, 2.
Answer:
(x-7)^2 + (y-2) ^2 = 130
Step-by-step explanation:
We need to find the length of the radius
the length of the radius is found by using the distance formula
r = sqrt( ( -2-7)^2+( -5 -2)^2)
sqrt( ( -9)^2+( -7)^2)
sqrt( 81+49)
sqrt(130)
The formula for a circle is
(x-h)^2 + (y-h) ^2 = r^2
where (h,k) is the center and r is the radius
(x-7)^2 + (y-2) ^2 = 130
Answer:
See below
Step-by-step explanation:
Fact: The sum of two shortest sides must be greater than the longest side.
1. 6, 10, 8; 6 + 8 = 14; 14 > 10; This is a triangle.
2. 46, 24, 21; 24 + 21 = 45; 45 < 46; This is not a triangle.
3. 23, 35, 10; 23 + 10 = 33; 33 < 35; This is not a triangle.
4. 8, 9, 17; 8 + 9 = 17; 17= 17; This is not a triangle.
