Maggie bought a total of 30 pounds of three different types of produce to feed her hungry hippopotamus. bananas cost $1 per pound; guavas cost $2 per pound; and dragon fruit costs $3 per pound. maggie spent $46. the weight of the bananas that maggie bought was twice the weight of the guavas and dragon fruit combined. write a written systems of equations consisting of three variables that can be used to determine how many pounds of each fruit maggie bought? (there are three correct answers) b = 2 ( g + d ) b + 2g + 3d = 46 30b + 30g + 30d = 1 b + 2g + 3d = 30 b + g + d = 30 b + g + d = 46 2b = g + d

Let b pounds be the weight of bananas, d pounds - weight of dragon fruit and g pounds - weight of guavas Maggie bought.

1) Maggie bought a total of 30 pounds of bananas, guavas and dragon, then

b+d+g=30.

2)

In total Maggie spent $46, thus,

b+2g+3d=46.

3) The weight of the bananas (b pounds) that Maggie bought was twice the weight of the guavas (g pounds) and dragon fruit (d pounds) combined. So

b=2(g+d).

The system of equations is

equations 1, 2 and 5 are correct

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

5+2x=a

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