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Proportions
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100

Solve for x:

5x=-20

x = -4

100

Solve for y: 

y/a+20=b

y=(b-20)*a

or

y=ab+20a

100

Solve the proportion: 

x/6=10/12

x = 5

100

Convert 47 oz to cups.

5.875 cups

100

Sink A leaks at a rate of 18 liters per day. Sink B leaks at a rate of 22 drips per minute. Which sink leaks at a slower rate? (1 Liter = 4,000 drips)

Sink A leaks slower.

200

Solve for x:

5=z/-4 -3

x = -32

200

Solve    g = b - ca     for a

(g-b)/-c=a

200

Solve the proportion:

7/5=x/3

x = 4.2

200

Convert 7 quarts to cups.

28 cups

200

A Pigeon can fly up to 92.5 mph. A Spur-Winged Goose can fly up to 142 km/hr. Which bird can fly the fastest?

A Pigeon can fly faster!

300

Solve for x: 

12x+10x+14=80

x = 3

300

Rewrite the formula below for P: 

I=Prt

P=I/(rt)

300

Solve the proportion:

10/8=x/10

x = 12.5

300

Convert 32,000 inches to miles.

About 0.51 miles

300

The Bugatti Veyron EB 16.4 has a top speed of 408.47 km/hr. The McLaren F1 has a top speed of 221 mph. Which vehicle has the higher top speed?

The Bugatti has the higher top speed.

400

Solve for x: 

-9(x-2)=4(x-15)

x = 6

***Bonus: what does it mean if I solved an equation and got 3 = 3? What if it was 2 = 5?***

(any team can answer)

400

Rewrite the formula for h: 

A=1/2h(b_1+b_2)

h=(2A)/(b_1+b_2)

400

A shadow 6 meters long is cast by an ash tree that is 8 meters tall. What is the length of the shadow cast by a nearby jungle gym that that is 4 meters tall?

The shadow is 3 meters long.

400

Convert 1.2 miles to cm.

about 193,171 cm

500

Solve for x: 

-15=-6(3+x)+4(x-6)

x=-27/2

x=-13.5

500

a) Rewrite the rectangle area formula for w: 

A=lw

b) Find the width of a rectangle that has a length of 12.4 cm and an area of 107.88 cm2.

a) 

w=A/l

b) width = 8.7 cm

500

If a monument is 35.1 yards tall and casts a shadow 72 yards long, then how long of a shadow will be cast by a nearby lighthouse that is 23.4 yards tall?

The shadow is 48 yards long.

500

Convert 37 ft per second to miles per hour.

About 25 mph