Lesson 9 problem set 5.1

Three hikers equally shared One-half gallon of water. Explain how you would use an area model to find the amount of water each h

givi [52]

Answer:

1/6 gallon of water

Step-by-step explanation:

Number of hikers = 3

Quantity of water shared = 1/2 gallon of water

If the water was shared equally among the hikers, then,

Amount of water each hiker drank = Quantity of water shared ÷ Number of hikers

= 1/2 ÷ 3

Multiply 1/6 by the reciprocal of 3

The reciprocal of 3 = 1/3

1/2 ÷ 3

= 1/2 × 1/3

= (1 * 1) / (2 * 3)

= 1/6

Amount of water each hiker drank = 1/6 gallon of water

7 0

2 years ago

Please explain this to me!

Charra [1.4K]

One meaning of a 'linear' equation is that if you draw the graph
of the equation, the graph will be a straight line.

That's an easy way to test the equation . . . find 3 points on the
graph, and see whether they're all in a straight line.

This equation is y = 4 / x .

To find a point on the graph, just pick any number for 'x',
and figure out the value of 'y' that goes with it.
Do that 3 times, and you've got 3 points on the graph.

Here ... I'll do 3 quick points:

Point-A: x = 1 y = 4 / 1 = 4
Point-B: x = 2 y = 4 / 2 = 2
Point-C: x = 4 y = 4 / 4 = 1

Look at this:

Slope of the line from point-A to point-B
= (change in 'y') / (change in 'x') = -2 .

Slope of the line from point-B to point-C
= (change in 'y') / (change in 'x') = -1/2 .

The two pieces of line from A-B and from B-C don't even have
the same slope, so they're not pieces of the same straight line !
So my points A, B, and C are NOT in a straight line.

So the equation is NOT linear.

Try it again with three points of your own.

5 0

2 years ago

Which of the given recipes will make cookies with the most chocolate chips per cookie? Order the recipes from the least chocolat

Papessa [141]

Answer:

I think it 1 but I may be wrong

Step-by-step explanation:

5 0

3 years ago

Solve for m: 5m - (-8) = (-4) + 2m Solve for x: 3x + 8 < 2x - 15

tresset_1 [31]

Answer: 3 = −12 and x = -23