Answer:
Step-by-step explanation:
Amount paid for first 100 watches = (65% of 80) *100

Amount paid for next 50 watches = (55% of 80) * 50

Remaining watches = 280 -(100+ 55)
= 280 - 155 = 125
Amount paid for 125 watches = (45% of 80) *125

Amount received by the watch maker = 5200 + 2200 + 4500
= £ 11900
You have 2 equations that are both equal to y. If they are both equal to y, then by the transitive property of equality, they are equal to each other (if a = b, and b = c, then a = c).
5x - 17 = x + 3 and
4x = 20 and x = 5. Now sub in that x value of 5 to solve for y:
y = 5 + 3 and y = 8. So the ordered pair is (5, 8)
11. y=-1/3x-4
Plug the slope into m in y=mx+b and then plug in your point and solve for b. You get C
12. Parallel means it has the same slope or the same m, so the -1/2 stays the same and you plug that and your point into the y=mx+b and solve for b again. You get D, y=-1/2x-9
13. Perpendicular means that the slope is the opposite reciprocal so you flip it and multiply it by -1. You then plug that in for your slope and plug in your points and you get A, y=9x+13
<u>Number of terms = 48</u>
<u>common difference = 1.5</u>
This question involves the concept of Arithmetic Progression.
- The formula for sum of an arithmetic progression series with first and last term given is;
=
(a + l)
where;
a = first term
l = last term
n = number of terms
- From the given sequence, we see that;
first term; a = 4
last term; l = 76
Sum of A.P;
= 1920
- Plugging in relevant values into the sum of an AP formula, we have;
1920 =
(4 + 76)
simplifying this gives;
1920 = 40n
n = 1920/40
n = 48
- Formula for nth term of an AP is;
=
+ (n - 1)d
where;
is first term
d is common difference
n is number of term
is the nth term in question
the 48th term is 76
Thus;
76 = 4 + (48 - 1)d
76 - 4 = 47d
72 = 47d
d = 72/47
d ≈ 1.5
Thus;
Number of terms = 48
common difference = 1.5
Read more at; brainly.com/question/16935540