Answer:
210 miles
Step-by-step explanation:
Let's represent it mathematically.
Ben drove 65 miles more than half the number of miles Steve drove, so we represent it by
B = 65 + ½S
It is also said that together, they drove 500 miles, we represent it with.
B + S = 500
Now, we solve simultaneously.
Let's eliminate the ½ in Ben's drive. So we multiply the equation by 2.
2B = 130 + S.
Rearranging, we have
S = 2B - 130.
We substitute this value of S, in the second equation. So we have.
B + (2B - 130) = 500, open the brackets
B + 2B - 130 = 500
3B - 130 = 500, collecting the like terms
3B = 500 + 130
3B = 630
B = 630/3
B = 210 miles.
Therefore, Ben drove 210 miles.
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Answer:
We need 540 grams of 0.5% hydrocortisone cream
Step-by-step explanation:
Lets call x the amount of grams needed. This means that the combined cream will have 180+x grams. We want x such that
x * 0.005 + 180*0.025 = (180+x)*0.01
Hence
0.005x + 4.5 = 1,8+0.01x
Lets put the x in the same side and take common factor
4.5-1.8 = 0.01x-0.005x
2.7 = (0.01-0.005)x = 0.005x
As a result
x = 2.7*0.005 = 540
We need 540 grams.
Answer:
The domain of the function is all real values of x, except 
and 
Step-by-step explanation:
We are given the following function:
It's a fraction, so the domain is all the real values except those in which the denominator is 0.
Denominator:
Quadratic equation with 
Using bhaskara, the denominator is 0 for these following values of x:
The domain of the function is all real values of x, except and
∠A, ∠B, ∠C - interior angles of a triangle.
∠A 1 , ∠B 1 , ∠C 1 - exterior angles of a triangle.
∠A + ∠B + ∠C = 180°
∠A + ∠A 1 = 180°
Therefore: ∠A 1 = ∠B + ∠C ( two remote interior angles )
Answer:
An exterior angle of a triangle is equal to the sum of the two remote interior angles.
Answer:
B
Step-by-step explanation:
Since both angles together need to equal 180, set up your formula as
(x+30)+(x+10)=180
2x+40=180
