Answer: B = 56 degrees
Step-by-step explanation: Complementary angles add up 90 degrees. So we will set both of the equations equal to 90 degrees and then solve from there.
6x+8+5x+21=90
1. Simplify 5x + 6x and 21 - 8
11x+13=90
2. Subtract 13 from both sides.
11x=90-13
3. Simplify 90-13 to 77.
11x=77
4. Divide both sides by 11.
x = 77/11
5. Simplify 77/11 to 7
x=7
Now we have to take the value of x and substitute it back into B = (5x+21)
1. Substitute
B = (5(7)+21)
B = 35 +21
B = 56
<u><em>HOPE THIS HELPS :)</em></u>
Answer:
y = 32,000(1.08)^x
Step-by-step explanation:
The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.
In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)
If we plug these into the equation, we get the equation y = 32,000(1.08)^x
So, y = 32,000(1.08)^x is the correct answer.
x=2/9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−4−3x=6x−6
−4+−3x=6x+−6
−3x−4=6x−6
Step 2: Subtract 6x from both sides.
−3x−4−6x=6x−6−6x
−9x−4=−6
Step 3: Add 4 to both sides.
−9x−4+4=−6+4
−9x=−2
Step 4: Divide both sides by -9.
−9x
−9
=
−2
−9
Answer:
The cost of her dinner without tax or tip is <u>$22</u>.
Step-by-step explanation:
Given:
Anna enjoys having dinner at a restaurant in a town where the sales tax on meals is 10%.
She leaves 15% tip before the sales tax is applied, and the tax is calculated on the pre-tip amount.
She spends a total of $27.50 on her dinner.
Now, to find the cost of her dinner without tax or tip.
Let the cost of dinner without tax or tip be 
So, the tax is:
And, the tip is:
<u><em>As given, she spends a total $27.50 on her dinner.</em></u>
Now, to get the cost of her dinner without tax or tip:
<em>Dividing both sides by 1.25 we get:</em>
Therefore, the cost of her dinner without tax or tip is <u>$22</u>.
