Answer: C. No solution. ( top shaded. Middle not. Bottom shaded.
Step-by-step explanation:
Given inequalities
y< -1/3x+5 and
y> -1/3x-1.
If we draw graph for y< -1/3x+5 equation, it would be a dotted line and we would shade down the dotted line because we have less than < symbol there.
Now, if we draw graph for second inequality y> -1/3x-1, it would also be a dotted line and we would shade up of dotted line because we have greater than > symbol there.
Now, we can see that slopes of both dotted lines are same that is -1/3.
So, there would not be any common shaded region.
Therefore, there would not by any solution of the system of inequalities.
And correct option is C option.
C. No solution. ( top shaded. Middle not. Bottom shaded.
Yes, it’s D because you would have want to compare both fractions by making them have the same denominator. Since 60 is the least common denominator for 10 and 12 (the denominators), you would convert the fractions by multiplying the numerator and denominator of 5/10 by 6 to get 60. 5/10 would turn into 30/60. Then you would multiply 6/12 both by 5, and then it would turn into 30/60. Now that you have equal fractions, you can guess that they are the same. Therefore, 30/60=30/60! An easier way of doing it would be just simplifying them into 1/2 and comparing them + seeing that they are both 1/2. Hope this helps!
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Caramelatte
Answer:
7 gal 3 qt is 31 quarts.
Step-by-step explanation:
Given:
7 gal 3 qt to quarts.
Now, convert the measurement as indicated.
So, the value of 1 gallon = 4 quarts.
Thus , the 7 gal(gallons) = 7 × 4 = 28 quarts.
And 3 qt (quarts) = 3 × 1 = 3 quarts.
So,
Therefore, 7 gal 3 qt is 31 quarts.
Answer:
Problem 1. <em>(19/2)b + 15</em>
Problem 2. <em>3/16</em>
Step-by-step explanation:
Question number 1
5/8 (16b+24) -1/2b =
= (5/8) * (16/1) * b + (5/8) * 24 - (1/2)b
= 10b + 15 - (1/2)b
= (20/2)b - (1/2)b + 15
= (19/2)b + 15
Question number 2
3/4 (16/64 + 12a) -9a =
= (3/4) * (16/64) + (3/4) * 12a - 9a
= (3 * 16)(4 * 64) + (3/4) * (12/1) * a - 9a
= (3 * 1)(4 * 4) + (3 * 12)/(4 * 1) * a - 9a
= 3/16 + (3 * 3)/(1 * 1) * a - 9a
= 3/16 + 9a - 9a
= 3/16
