Answer:
54 minutes
Step-by-step explanation:
The sum of fractions is ...
2/5 + 3/20 + 1/3 = 11/20 +1/3 = (3·11 + 20·1)/(20·3) = 53/60
Then the 42 minutes devoted to English represents 1 - 53/60 = 7/60 of her study time.
Kaya's social studies time is 3/20 = 9/60 of her total, so the ratio of SS to Eng is ...
SS : Eng = (9/60) : (7/60) = 9 : 7
When we multiply the numbers in this ratio by 6, we find ...
SS : Eng = 54 : 42
Kaya spent 54 minutes studying social studies.
2(4z - 6 - 6) = 170 - 46
2(4z - 12) = 124 |use distributive property: a(b - c) = ab - ac
8z - 24 = 124 |add 24 to both sides
8z = 148 |divide both sides by 8
z = 18.5
Step-by-step explanation:
A. 5x=12x-14
you will simplify the equation to the form, which is simple to understand
5x=12x-14
We move all terms containing x to the left and all other terms to the right.
+5x-12x=-14
We simplify left and right side of the equation.
-7x=-14
We divide both sides of the equation by -7 to get x.
x=2
B. 5B+12=BB=28
you will move all terms to the left:
.5B+12-(BB)=0
you will move all terms containing B to the left, all other terms to the right
.5B-BB=-12
Answer:
b. 
Step-by-step explanation:
Given expression is:

Let us factorize the numerator using the formula:


Since x ≠ 3, let us cancel the common factor x - 3 in the numerator and in the denominator.
So, 