The total number of fish bought was 320. And you know she bought two types of fish. The best way to solve this is guess and check. It would be the fastest. So she bought 7 times as many trigger-fish as parrot fish that means the number of trigger-fish bought was 7p. This means 320 = 7p +p. So all you do is take educated guesses for the number of parrot fish and check if it is right. So if she bought 50 parrot fish. 7(50) + 50 = 400. Close but a bit high. Lets keep guessing. 7(35) + 35 = 245. So now we know the answer is between 50 and 35. So lets try 40. 7(40) + 40 =320. That works so we know she bought 40 parrot fish and 280 trigger-fish.
a constant of proportionality is a number you have to multiply x by to get y.
y=kx is the equation that expresses the proportionality of x and y
in this case, 10 video games cost $145
the question's basically asking what you have to multiply 10 by to get 145
y= 145; x=10
k= y/x = 145/10=14.5
the constant of proportionality is 14.5
1.Combine multiplied terms into a single fraction
2. Multiply by 1
3. Subtract 6 from both sides of the equation
4.Simplify
5.Subtract 3x from both sides of the equation
6.Simplify
7.Multiply all terms by the same value to eliminate fraction denominators
8.Simplify
9.Divide both sides of the equation by the same term
10.Simplify
Solution:x=4
Step-by-step explanation:
the total surface area is the sum of the individual areas.
we have the ground area : a 6×6 square. = 36 cm²
and we have 4 equal triangles.
the area of a triangle is baseline × height / 2.
which is for each of these triangles
6 × 12 / 2 = 3 × 12 = 36 cm²
so, the total surface area of the pyramid is
36 + 4×36 = 5×36 = 180 cm²
