Answer:
The L.C.M. of 18 and 45 is 90.
Answer:
Step-by-step explanation:
Take angle A as reference angle
using sin rule
sin A=opposite/hypotenuse
sin A=10/13
sin A=0.76
0.76=49.46 degree
A=49.5 degree
Answer:
1.) X = 7 and Y = 5
2.) 5 streamers
Step-by-step explanation:
According to the question, you are given the inequality equation of
2.5x + 3.5y < = 35
Since the equation is less than or equal to, than means that the equation can be 2.5x + 3.5y = 35
According to the graph,
X = 14 and Y = 10
Substitute both into the equation if it will not exceed 35
2.5(14) + 3.5(10) = 35
35 + 35 = 70. This is wrong.
Take the half value of both x and y and substitute again
X = 7 and Y = 5
2.5(7) + 3.5(5)
17.5 + 17.5 = 35
Therefore, she can buy 7 helium - filled balloons and 5 streamers
2.) If Julie buy 6 ballons, substitute x for 6 in the inequality equation to find y
2.5(6) + 3.5y < = 35
Open the bracket
15 + 3.5y < = 35
Collect the like terms
3.5y <= 35 - 15
3.5y <= 20
Make y the subject of formula
Y <= 20/3.5
Y < = 5.7
We can therefore conclude that she can buy 5 streamers. Or 5 1/2 if possible.
Answer:
- Andre subtracted 3x from both sides
- Diego subtracted 2x from both sides
Step-by-step explanation:
<u>Andre</u>
Comparing the result of Andre's work with the original, we see that the "3x" term on the right is missing, and the x-term on the left is 3x less than it was. It is clear that Andre subtracted 3x from both sides of the equation.
__
<u>Diego</u>
Comparing the result of Diego's work with the original, we see that the "2x" term on the left is missing, and the x-term on the right is 2x less than it was. It is clear that Diego subtracted 2x from both sides of the equation.
_____
<em>Comment on their work</em>
IMO, Diego has the right idea, as his result leaves the x-term with a positive coefficient. He can add 8 and he's finished, having found that x=14.
Andre can subtract 6 to isolate the variable term, and that will give him -x=-14. This requires another step to get to x=14. Sometimes minus signs get lost, so this would not be my preferred sequence of steps.
As a rule, I like to add the opposite of the variable term with the least (most negative) coefficient. This results in the variable having a positive coefficient, making errors easier to avoid.