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a garden table and a bench cost $750 combined. the cost of the garden table is two times the cost of the bench. what is the cost of the bench?

bench: $250, table: $500

Step-by-step explanation:

x = bench

y = garden table

set of equations:

y = 2x

x + y = $750

you can simply replace the y in x + y = $750 for 2x:

x + 2x = 750

3x = 750

x = 250

so the cost of the bench is $250

to find the table, just plug 250 into y = 2x:

y = 2(250)

y = 500

so the cost of the table is $500

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

answer: answer: d) v= 1/6 bh  

step-by-step explanation:

since according to the given question,   a pyramid is placed inside a prism.

step-by-step explanation: