Question:

Write each ratio in simplest fractional form.

1. 16 dogs and 9 cats

2. 99 miles to 6 gallons

3. 4 frogs to 9 lily pads

4. 6 cups of milk to 4 cups of flour

5. 6 girls to 13 boys

1)

2)

3)

4)

5)

Step-by-step explanation:

1)

16 dogs and 9 cats ;

The ratio is 16:9

The ratio in simplest form is 16:9

The ratio in simplest fractional form is 1

2)

99 miles to 6 gallons

The ratio is 99:6

The ratio in simplest form is 33:2

The ratio in simplest fraction form is 16

3)

4 frogs to 9 lily pads

The ratio is 4:9

The ratio in in simplest form is 4:9

The ratio in simplest fraction form is

4)

6 cups of milk to 4 cups of flour

The ratio is 6:4

The ratio in simplest form is 3:2

The ratio in simplest fraction form is 1

5)

6 girls to 13 boys

The ratio is 6:13

The ratio in simplest form is 6:13

The ratio in simplest fraction form is

step-by-step explanation:

10.50 + taxes which added up to 11.50

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.