25 salads were sold, as 5 salads w the were sold in the Caesar salad group, and 20% of the total salads were sold were Caesar. Therefore, 20% of 25 is 5, making the total number of salads sold equal to 25.
Answer:
r = 24
Step-by-step explanation:
3(r+2)+5(2−r)=−32
Step 1: Simplify both sides of the equation.
3(r+2)+5(2−r)=−32
(3)(r)+(3)(2)+(5)(2)+(5)(−r)=−32(Distribute)
3r+6+10+−5r=−32
(3r+−5r)+(6+10)=−32(Combine Like Terms)
−2r+16=−32
−2r+16=−32
Step 2: Subtract 16 from both sides.
−2r+16−16=−32−16
−2r=−48
Step 3: Divide both sides by -2.
−2r/-2 = -48/-2
r = 24
Answer:
You didn't give the geometric sequence in question.
But to find the nth term of a geometric sequence, use the formula
Sn = ar^(n - 1)
Where a is the first term of the sequence
r is the common ratio of the sequence.
Example: To find the nth term of the geometric sequence
1/2, 1/4, 1/8, 1/16, ...
Here, a = 1/2
r = 1/4 ÷ 1/2 = 1/8 ÷ 1/4 = 1/16 ÷ 1/8 = 1/2.
Sn = (1/2)(1/2)^( n - 1)
Apply this method to the sequence you were given, it will be helpful.
Answer:
392
Step-by-step explanation:
Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.
Extend lines XQ, YR, YS and XP and mark their intersection as A and B.
Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore
- all angles of the quadrilateral XAYB are right angles
- all sides of XAYB are congruent and equal to 6 + 8 = 14 units.
Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,
Answer:
pretty sure its 5
Step-by-step explanation:
