If you need 4 tables spoons of golden syrup to make 10 cupcakes, how many tables spoons of golden syrup will you need to make 4 cupcakes.

1.6 tablespoons

Step-by-step explanation:

Let’s make a proportion

syrup/cupcakes=syrup/cupcakes

4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.

4/10=x/4

Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.

4*4/10=x/4*4

The 4s on the right will cancel, so we are left with:

4/4*10=x

1.6=x

So, 1.6 tablespoons are needed for 4 cupcakes.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204