Answer:
$12.89
Step-by-step explanation:
value of tax:
6 : 100 = x : 10.40
x = (10.40 * 6)/100 = $0.624
new amount
10.40 + 0.624 = $11.02
value of tip
17 : 100 = x : 11.02
x = (11.02 * 17)/100 = $1.8734
Final amount
11.02 + 1.8734 = $12.89
false 2z + 10= 12z
2(z + 5) = 10z
13.) - 1/2
14.) 1 1/3 (4/3)
15.) - 3
Answer:
PQ = 34.4
Step-by-step explanation:
First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74
Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)
This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.
We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that
NO/QR = MN/PQ
Thus,
11/27 = 14/PQ
multiply both sides by PQ to remove a denominator
PQ * 11/27 = 14
multiply both sides by 27 to remove the other denominator
PQ * 11 = 14 * 27
divide both sides by 11 to isolate the PQ
PQ = 14 * 27 /11
PQ = 34.4
Answer:
Step-by-step explanation:
We have been an integral 
. We are asked to find the general solution for the given indefinite integral.
We can rewrite our given integral as:
Now, we will apply the sum rule of integrals as:
Using common integral 
, we will get:
Now, we will use power rule of integrals as:
We know that integral of a constant is equal to constant times x, so integral of 1 would be x.
Therefore, our required integral would be .
