Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix. If Monique uses 28 pounds of almonds , how many pounds of almonds did she have in her supply ?

32 pounds of almonds

Step-by-step explanation:

Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix.

The total fraction of almonds that Monique used both for her but mix and fruit and nut mix =

1/4 + 5/8

Lowest common denominator is 8

1 × 2 + 5 × 1/8

2 + 5/8

= 7/8

If Monique uses 28 pounds of almonds

Let the total number of almonds = x

7/8 × x = 28

7x /8 = 28

Cross Multiply

7x = 8 × 28

x = 8 × 28/7

x = 32 pounds

Therefore, Monique initially had 32 pounds of almonds in her supply.

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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