Answer:
Step-by-step explanation:
This is consider a linear pattern (arithmetic pattern).
We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.
So -10 is the slope of this linear pattern.
The equation for a linear pattern is:
y=mx+b
where x represents the position the term is in
and
where y represents the actual term
and
where m is the slope
So we have y=-10x+b.
(x,y)
(term position in sequence, actual term)
(1,140)
(2,130)
(3,120)
(4,110)
We can find b by using a number with it's position in the sequence (that is plug in one of your points above).
y=-10x+b
140=-10(1)+b
140=-10+b
150=b (after adding 10 on both sides)
The explicit equation for the sequence is y=-10x+150.
They probably prefer you to write:
instead.
Answer:
11.8° and 78.2°
Step-by-step explanation:
let the angles be x and x + 66.4
complementary angles sum to 90° , then
x + x + 66.4 = 90
2x + 66.4 = 90 ( subtract 66.4 from both sides )
2x = 23.6 ( divide both sides by 2 )
x = 11.8 and
x + 66.4 = 11.8 + 66.4 = 78.2
The 2 angles are 11.8° and 78.2°
Answer:
C. 8
Step-by-step explanation:
Divide the length by 2, then subtract by 1, then divide again by 3. multiply by 2 and add the original multiplied by 2 and hope its 26.
Answer:
The answer is 10$ per shirt
Step-by-step explanation:
Answer:
The different winning scores possible are 25 (from 28 to 52).
Step-by-step explanation:
- The minimum score obtained by a player will be 28.
since, we divide 1-7 numbered to one and 8-14 to the other player such that one receives the maximum and the other receives the minimum.
the least minimum possibility is :28 as one get the card as(1,2,3,4,5,6,7).
while the other player gets 77 sum and loses.
- for increasing this score now we give the number 1,2,3,4,5,6,8 to one of the player so that they sum upto 29 and will get the minimum score and wins while the other player gets 76 sum with the help of numbers{9,10,11,12,13,14,7} and loses.
- next possible minimum sum to win will be 30 by assigning 1,2,3,4,5,6,9 whereas the other gets the sum 75 and loses.
- continuing in the same way we see that the minimum sum obtained to win will be 52( by assigning 2,3,6,7,9,12,13) while the other gets the sum 53 and loses.
Hence, there are total 25 winning scores possible. (from 28 to 52 i.e. 52-28=25).