Problem 1
A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show
the garden hose's water flow in gallons per minute and minutes per gallon How many gallons of
water does the hose supply in 10 minutes? Explain.
Stano. Immortant Information/Ouestion

  120 gallons

Step-by-step explanation:

For questions like this, it is convenient to determine a ratio with the number of minutes being 1. We know that gallons are proportional to minutes, so if we divide minutes by 3 (to get 1 minute), we also divide gallons by 3 (giving 12 gallons).

Similarly, we can multiply both gallons and minutes by the same value. Multiplying the above result by 10, we get 120 gallons in 10 minutes.

  36 gal : 3 min

= 12 gal : 1 min . . . . . . divide above by 3

= 120 gal : 10 min . . . . multiply previous by 10

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180