Answer: 19 macaroons
Step-by-step explanation:
Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.
33=x+x+5
33=2x+5
33-5=2x+5-5
28=2x
28/2=2x/2
14=x
This means that Em made 14 macaroons.
14+5=19
Therefore, Jim baked 19 macaroons.
3% is the same as 0.03
Therefore, 662/3% = 662/0.03
Divide the number & Multiply
Answer:
Hence, Grasshopper will land on the ground after 1.5 sec.
Step-by-step explanation:
It s given that:
The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function:

Now we are asked to find:
In how many seconds will the grasshopper land on the ground?
i.e. we have to find the value of t such that h(t)=0
i.e.

i.e. we need to find the roots of the given quadratic equation.
On solving the quadratic equation or plotting it's graph we could observe that the point where h(t)=0 are:

As time can't be negative hence we will consider:

Hence, grasshopper will land on the ground after 1.5 sec.
Answer:
(1,-6)
Step-by-step explanation:
4x - y = 10
4x -(-6) = 10
4x + 6 = 10
- 6 - 6
4x = 4
/4 /4
x = 1
(x, y) -> (1,-6)
Check your answer:
4x - y = 10
4(1) - (-6) = 10
4 + 6 = 10
10 = 10
This statement is correct
Hope this helps!