Answer:
<u>The solutions to this quadratic equation are 10 and 3.</u>
Step-by-step explanation:
1. Let's recall the formula for solving this type of equations, called quadratic equations:
x = ( - b +/- √ b² - 4ac)/ 2a
The equation given is x2 – 13x + 30 = 0,
where a = 1, b = - 13 and c = 30
Now replacing with the real values, we have
x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1
x = [ 13 +/- √ 169 - 120] / 2
x = [13 +/- √ 49]/ 2
x = [ 13 +/- 7 ]/ 2
<u>x₁ = 13 + 7/2 = 20/2 = 10</u>
<u>x₂ = 13 - 7/2 = 6/2 = 3</u>
1300 = 1000 (1.08)^t
1.3 = (1.08)^t
log base 1.08 (1.3) = t
3.41 = t
Answer:
How to write out number 0.875: eight hundred seventy-five thousandths
Step-by-step explanation:
Answer:
a. The ratio of A to B is 2.92 : 1
b. The ratio of B to A is 1 : 2.92
c. A is 292% of B
Step-by-step explanation:
A = 52193
B = 17878
a. The ratio of A to B is: 52193 : 17878
To get the ratio in lower form, divide A with B (since it is the smallest of the two value) and the result is:
2.92 : 1
b. The ratio of B to A is: 17878 : 52193
1 : 2.92
c. The percentage of A to B is:

Answer is 44-2/5
Step by step. I did a print screen showing how we can use cancellation with the 3 and 9 so the numbers are smaller. Then we multiplied across to get 222/5.
Divide 222 by 5 = 44-4/10, simplified to 44-2/5.