Answer:
radius 4
center (0,10)
Step-by-step explanation:
Answer:
15%=0.15
1÷7=0.14
1÷5=0.2
1÷4=0.25
1÷3=0.33
Step-by-step explanation:
1/7
Take the sequence in 1a
The 10th term is 31
The 20th is 61
If you wanted to find these by continuing the series, you'd have to add 3 to the last number in the series, then 3 more, then 3 more, until you reach the 20th term. By this point, you will have added 3 to the first term 19 times. That's where the formula comes from. So here,
a = 4, the first term
n = 20, the number of the term we need
d = 3, how much we're adding each time between one term and the next
Then, to get the 20th term,
4 + (20 - 1) • 3 = 4 + (19 • 3) = 4 + 57 = 61
Answers
The 10th and 20th terms of each sequences are
a. 31; 61
b. 48; 98
c. 47; 97
(in <em>c</em>, you're adding the same <em>d</em> as in the sequence above, but your first term is one unit less)
d. -25; -75
(same thing as before, but now, <em>d</em> is negative)
e. 11.5; 16.5
(with <em>d</em>=1/2 or 0.5)
f. 6+1/2; 8+1/2
Use these to check your answers after applying the formula, but know that I calculated on the fly and didn't check these.
Answer:
100 texts
Step-by-step explanation:
Let the amount of text messages be x. Since we are looking at making both plans equal, we add the fixed monthly charges to the number of messages multiplied by the cost.
The total amount charged by Totally will be 30 + 0.2x
The total amount charged by Gnarly will be
40 + 0.1x
Now since we are trying to get the number of text messages that make both charges equal, we equate the two charges and that is:
30 + 0.2x = 40 + 0.1x
40 - 30 = 0.2x - 0.1x
0.1x = 10
x = 10/0.1 = 100 texts
Answer:
580ml
Step-by-step explanation:
Let The quantity of water drank by Carol be x
Now given that Keela drank twice as much water as Carol which means the quantity of water drank by Keela is 2x
Also given that Xavier drank 100 mL more water than Keela which means the quantity of water drank by Xavier is 2x+100
Total water consumed by all the three is 3 litres=3000 ml
Total water drank = Water drank by Keela + Water drank by Xavier +Water drank by carol
3000=x+2x+2x+100
5x=2900
x=580ml
Carol drank 580ml of water.
