Answer:
Area of square = 28.09 square cm.
Step-by-step explanation:
Given : A square has sides 5.3 cm long.
To find : Work out the area of the square.
Solution : We have given
Side of square = 5 .3 cm .
Area of square = side * side .
Area of square = 5.3 * 5.3 .
Area of square = 28.09 square cm.
Therefore, Area of square = 28.09 square cm.
5x and 7y. Keep up the good work
Quarters = x
dimes = 196 - x
10(196 - x) + 25x = 3940
1960 - 10x +25x = 3940
1960 + 15x = 3940
15x = 1980
x = 132
169 - 132 = 64
Therefor there are 132 quarters and 64 dimes
Answer:
1877 computer users
Step-by-step explanation:
We have that for 95% of confident, the value of z has a value of 1.96 (attached table about it), they also mention the margin of error (E) that is 10 and finally the standard deviation (sd) that has a value of 221.
We apply the following formula:
n = [z * sd / E] ^ 2
replacing:
n = [1.96 * 221/10] ^ 2
n = 1876.27
that is, the minimum sample size is 1877
Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) <em>Ali, Carrie and Bryan received a sum of money. </em>
- Ali's money.
- Bryan's money.
- Carrie's money.
(ii) <em>Bryan's money was </em>
<em> of Ali's money</em>.
(1)
(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.
(2)
(iv) <em>Ali had $ 160 more than Bryan</em>.
(3)
After some algebraic handling, we have the following system of linear equations:
(1b)
(2b)
(3b)
The solution of the system is: 
, 
, 
The sum of money is:
The sum of money received by Ali, Carrie and Bryan is $ 740.
