24. unit rate
25. ?
26. surface area
27. trial
28. supplementary angles
29. variable
30. unit conversion ?
Step-by-step explanation:
1/3x=1/6
x/3=1/6
cross multiply
6x=3
divide both sides by 6
x=3/6
x=1/2
Answer:
$26.02
Step-by-step explanation:
Let the price of a skirt be A and that of coat be B
Iilly bought 6 skirts and 5 coats for a total of $452.62
That’s
6A + 5B = 452.62
Also, Lilly’s sister bought 3 skirts and 5 coats for $289.36
That’s
3A + 5B = 289.36
We now have two equations
1 . 6A + 5B = 452.62
2. 3A + 5B = 289.36
Subtract equation two from equation one
We have
3A = 163.26
Divide both sides by 3
3A/3 = 163.26/3
A = 54.42
A = $54.42
Now substitute 54.42 for A in either equations to get B the price of a coat
Using equation one, we have
6A + 5B = 452.62
6 x 54.42 + 5B = 456.62
326.52 + 5B = 456.62
Subtract 326.52 from both sides
326.52 - 326.52 + 5B = 456.62 - 326.52
5B = 130.1
Divide both sides by 5
5B/5 = 130.1/5
B = 26.02
= $26.02
A coat cost $26.02
Answer:
x =7
Step-by-step explanation:
Solve for x:
5 x - 10 + 65 = 90
Add like terms. 65 - 10 = 55:
5 x + 55 = 90
Subtract 55 from both sides:
5 x + (55 - 55) = 90 - 55
55 - 55 = 0:
5 x = 90 - 55
90 - 55 = 35:
5 x = 35
Divide both sides of 5 x = 35 by 5:
(5 x)/5 = 35/5
5/5 = 1:
x = 35/5
The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:
Answer: x = 7