Answer:
a=2
Step-by-step explanation:
8a +9=3a +19
Subtract 9 from both sides
-9= -9
8a=3a +10
Subtract -3a from both sides
5a=10
5a=10
5a divided by both sides
5/5
10/5=2
a=2
Answer:
let x = the amount of orange juice in a full glass.
the glass is 1/6 full = 1/6 * x
add 95 cubic centimeters and the glass becomes 4/5 full.
equation for that is:
1/6 * x + 95 = 4/5 * x
subtract 1/6 * x from both sides of this equation to get:
95 = 4/5 * x - 1/6 * x
multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:
95 = 24/30 * x - 5/30 * x
combine like terms to get 95 = 19/30 * x
multiply both sides of the equation by 30/19 to get:
30/19 * 95 = 30/19 * 19/30 * x
simplify to get:
30/19 * 95 = x
solve for x to get x = 150.
the volume of the glass is 150 cubic centimeters.
1/6 * 150 = 25
4/5 * 150 = 120
the difference between 4/5 full and 1/6 full is 95 cubic centimeters.
solution is that the volume of the glass is 150 cubic centimeters.
Step-by-step explanation:
Both of the problems equal 600
Answer:
a).
= (67×10)÷2
= 670 ÷ 2
= 335
Explanation:
a).
= (67×10)÷2
= 670 ÷ 2
= 335
So, 5×67 = (67×10)÷2
=> 335 = 335
b).
= (67x2)+(67×2)
= 134 × 134
= 268
So, 5×67 ≠ (67x2)+(67×2)
=> 268 ≠ 335
c).
= (6 ×7)×5
= 42 × 5
= 210
So, 5×67 ≠ (6×7)×5
=> 210 ≠ 335
d).
= (5×6)+(5×7)
= 30 + 35
= 65
So, 5×67 ≠ (5×6)+(5×7)
=> 65 ≠ 335
<u>Hence</u><u>,</u><u> </u><u>(</u><u>a</u><u>)</u><u> </u><u>is</u><u> the</u><u> correct</u><u> answer</u><u>.</u>
I believe it is the second option.
Hope this helps :)
