Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8
Answer:
1) 5 * 18
Step-by-step explanation:
Because 6*3 = 18
5*6*3 = 5*18
<h3>
Answer: B) angle 4</h3>
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Explanation:
We can think of lines L and M as sort of train tracks. Inside the train tracks we have the interior angles of: 3, 4, 5, 6
Angles 3 and 6 are one pair of alternate interior angles. They are on alternate sides of the transversal line N.
The other pair of alternate interior angles are 4 and 5
Alternate interior angles are only congruent when L and M are parallel.
Answer:
d
Step-by-step explanation:
Let the number of Blue casset be b and that of green be g.
Thus the total number of cassets will be:
b+g=16
hence
g=16-b.......i
The total amount was:
45b+55g=830..ii
plugging i in ii we get:
45b+55(16-b)=830
45b+880-55b=830
simplifying
45b-55b=830-880
-10b=-50
thus
b=5
hence
g=16-5=11
number of blue cassets was 5 and that of green was 11