Answer:
theres no questions
Step-by-step explanation:
Answer: 150
Step-by-step explanation:
To solve arithmetic progression, the nth term is calculated using the formula = a + (n - 1)d
From the question,
First term = a = 4
12th term = 31.5
We need to get the common difference which will be:
Since 12th term = 31.5
a + (n - 1)d = 31.5
a + (12 - 1)d = 31.5
a + 11d = 31.5
Recall that a = 4
4 + 11d = 31.5.
11d = 31.5 - 4
11d = 27.5
d = 27.5 / 11
d = 2.5
Since last term is 376.5, the number of terms in it will be calculated as:
a + (n - 1)d = 376.5
4 + (n - 1)2.5 = 376.5
4 + 2.5n - 2.5 = 376.5
2.5n = 376.5 - 4 + 2.5
2.5n = 375
n = 375 / 2.5
n = 150
The number of terms in the series is 150.
Answer:
Hey there!
There are 13 clubs in a deck of cards.
There are 4 tens.
However, the tens overlap with the clubs, so there are 16 cards to choose.
16/52=4/13
Let me know if this helps :)
Answer:
In the end Joanne had 55 sweets.
Step-by-step explanation:
Let the number of sweets that Xue Ying had be y and let the number of sweets Joanne had be x.
It is given that Xue Ying had 143 more sweets than Joanne. We can write this information as an equation.
y = x + 143.
It is also given that Joanne gave away 22 of her sweets and after that Xue Ying had 6 times as many more sweets. We can write this as an equation.
y = 6(x - 22) = 6x - 132.
Therefore we can equate the two equations and solve for x.
x + 143 = 6x - 132
5x = 275
∴ x = 
sweets.
Therefore in the end Joanne had 55 sweets.
First, make a dotted line through the figure, so that you have a rectangle and a triangle. Rectangle area is base times height. 15 times 6 is 90. Triangle formula fro area is base times height divided by 2. Subtract 6 from 24, because that is the height of the triangle. 18x15 is 270. 270 equals 360.
