Answer:
1.06 × 5(r-4) = 45.05
Step-by-step explanation:
Let r represents the regular price of each T-shirt,
After getting $ 4 off in regular price,
New price of each T-shirt = r - 4,
Thus, new price of 5 T-shirts = 5 × price of each T-shirt
= 5(r - 4)
Since, there is 6% sales tax,
Then, the final price after discount = 5(r - 4) + 6% of (5(r-4))
= 5(r-4) + 0.06(5(r-4))
= 1.06 × 5(r-4)
According to the question,
1.06 × 5(r-4) = 45.05
Which is the required equation.
Answer: 70,000
Step-by-step explanation:
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN
Answer:
20 students
Step-by-step explanation:
If the class decreased by 15%, the students that she has now (17) represents a percentaje of:
100% - 15% = 85%
so<u> the 17 students are 85% of what she had</u>:
Students Percentage
17 ⇒ 85%
and we are looking for how many students she had 2 years ago, thus we are looking for the <u>100%</u> of students (the original number of studens). If we represent this number by x:
Students Percentage
17 ⇒ 85%
x ⇒ 100%
and we solve this problem using the <u>rule of three</u>: multiply the cross quantities on the table( 17 and 100) and then divide by the remaining amount (85):
x = 17*100/85
x = 1700/85
x=20
2 years ago she had 20 students