Marty has a box of raisins. he uses 1 1/2 cups of raisins for trail mix. then he opens a bag with 2 1/3 cups of raisins in it. marty then uses 3/4 cup of raisins for bread pudding. there are 3 1/2 cups of raisins left. how many cups of raisins were in the box. explain.

Step-by-step explanation:

Let

x------> cups of raisins originally in the box

we know that

The original quantity is equal to the quantity that is left plus the quantity used

so

Convert mixed number to an improper fraction

substitute

Step-by-step explanation:

x=box raisins

Total raisins = raisins used plus raisins left

x+7/3 = 3/2+3/4+7/2

x-7/3+7/3 = 3/2+7/2+3/4-7/3

x = 10/2 + 3/4 - 7/3

Find GCF

x = 6/6*10/2 + 3/3*3/4 - 4/4*7/3

x = 60/12 + 9/12 - 28/12

x = 69/12 - 28/12

x = 41/12

x = 3-5/12 cups raisins in the box

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logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°