Answer
• A. Equation: 25(5 + x) = 325
,
• B. Answer: 8 dogs
Explanation
Given
• Charge to wash a dog: $25.
• She washed 5 dogs on Saturday and then some more on Sunday.
• She made $325 for the weekend.
Procedure
She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).
Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:
Then, we have to solve for x to know how many dogs did she wash on Sunday.
0. Multiplying the parenthesis
<em>2. Subtracting 125 from both sides of the equation</em>
<em>3. Dividing both sides of the equation against 25</em>
Answer:
The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:
6= πd and then divide both sides of the equation by π you get that d = 1.90
To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:
1 = 0.9549θ.
If you divide both sides of the equation by 0.9549 you get θ = 1.047197 radians.
The question asked for the angle measure in degrees so you would need to convert the angle measure to degrees by multiplying the degree measurement by 180/π
1.047197 x 180/π = 60°
Answer:
There are a total of possible 1820 results.
Step-by-step explanation:
Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:
Total number of possible results:
