Answer:
The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.
Given :
-
A knife is 3 times the cost of the spoon.
- 9 spoons and 12 knives costs £82.80.
Solution :
-
This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
- Linear calculations that requires more than one variable can be done with the help of linear equations.
- The standard form of a linear equation in one variable is ax + b = 0.
Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.
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Therefore the cost of 1 knife = 5.52
Step-by-step explanation: 
Answer:
120 square units
Step-by-step explanation:To find the area you do length times hight or l x h. If you want you can also make the triangle and move it to the other side to create a square if thats helps :) but you always do LxH for area :)
Basically you need to make the denominator (whats on the bottom) the same, lets take the first one for example
2 3/4, lets put this all over 4 for the same denominator.
2=8/4, and then add this to 3/4 to get 11/4.
the second part will work the same way,
start by making 1 into 8/8. add this to 1/8 to get 9/8
now we have to add 11/4 and 9/8. to do this, you have to find the smallest multiple between the two (for example: between 6 and 4 it would be 12, since 4*3= 12, and 2*6=12)
now, the smallest common multiple between 4 and 8 would just be 8
11/4= 22/8, since you multiply the bottom and top by the same amount so it still equals 11/4, but your denominator will now be 8.
now you can subtract. 22/8- 9/8= 13/8
final answer: 13/8
try the rest yourself since this is important for later math, hoped this helped :)
This problem is solved better well when given the drawing
or the figure. It may have been given and you forgot to attach it in the
question. However, so that we can solve this now, I drew the figure on my own
(see the attached pic).
We can see from the figure that two parallel lines are
intersected by a straight line. This type of scenario creates special angles.
Angle PXY and angle RYX are called alternate interior angles since they are on
the interior opposite sides of the cut.
By virtue of alternating interior angles, angle PXY and
angle RYX are congruent hence:
m∠RYX = m∠PXY
m∠RYX = 64.36°