Answer:
(22, 9)
Step-by-step explanation:
The positive difference of two integers is 13. The sum of the larger number and the square of the smaller is 103. Give your solution(s) as ordered pair (larger, smaller). I'll call the two integers a and b.
a - b = 13 a + b² = 103
<u> +b +b</u>
a = 13 + b plug this into the second equation
a + b² = 103
(13+b) + b² = 103 subtract 103 from both sides to get one side equal to zero
<u>-103 -103</u>
b² + b - 90 = 0 what factors (two numbers multiply) to -90 that also add up
to 1? The only two that work are -9 and 10.
(b-9)(b+10) = 0 so b-9 = 0 or b+10 = 0
<u>+9 +9</u> or <u>-10 -10</u>
b = 9 or b = -10 but both numbers must be positive
b = 9 and a = 13 + b so a = 13 + 9 = 22
(22, 9)
Find the amount of the increase:
8.13 - 6.19 = 1.94
Divide the amount of the increase by the original price:
1.94 / 6.19 = 0.3134
Multiply by 100:
0.3134 x 100 = 31.34%
Round to the nearest tenth = 31.3%
Answer:
5>t
Step-by-step explanation:
45 > 12t + 3(t -8) - 6 multiply 3 times t-8
1) 45 > 12t + 3t - 2 - 6 combine alike terms
2) 45 > 15t - 30 isolate the variable by adding 30
3) 75 > 15t divide by 15
4) 5 > t
$50
Hope this helps you
May God bless you and your family
So 5/8 of $24
5/8 * 24
15
Joshua spent $15.
Hope this helps :)