Which expression illustrates the commutative property applied to the product?

Kate's swim coach informs her that she only has 35% of her workout left. Kate has swum 26 laps so far.

pentagon [3]

Kate needs to swim 40 laps to come complete 66 laps

7 0

3 years ago

Step 1: Subtract 3 from both sides of the inequality

Tpy6a [65]

Answer:

add 8x to both sides

Step-by-step explanation:

5-8x<2x+3

first step, subtract 3 from both sides:

2-8x<2x

second step,?

2<?x

so you need to add 8x first

3 0

3 years ago

Solve 19.9 = 9 y - 8.<br><br> y =

pogonyaev

Answer:

1.3223 is the answer for y

5 0

3 years ago

Read 2 more answers

Compare fractions 3/4 and 11/12

RoseWind [281]

For now, assume 3/4 and 11/12 are equal. It is likely they are not equal, but we'll get to that later.

The equation we set up is 3/4 = 11/12

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3/4 = 11/12

3*12 = 4*11 ... cross multiply

36 = 44

The last equation is false, so the entire string of equations are false.

This tells us that 3/4 is not equal to 11/12.

Since the left hand side of the last equation is smaller, this means we must replace the equal sign with a less than sign. Do so with the other equal signs as well. We have this updated set of steps

3/4 < 11/12

3*12 < 4*11 ... cross multiply

36 < 44

We see that 3/4 is smaller than 11/12

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Another way to see that 3/4 is smaller is to use a calculator to find the decimal version of each fraction

3/4 = 0.75

11/12 = 0.9167 approximately

Since 0.75 is smaller than 0.9167, this means 3/4 is smaller than 11/12.

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If you want to stick with fractions and you don't want to cross multiply, then we can rewrite 3/4 as a fraction that has 12 in the denominator.

Multiply top and bottom of 3/4 by the value 3

This will make 3/4 turn into 9/12

3*3 = 9

4*3 = 12

So 3/4 = 9/12 is a true equation

Instead of comparing "3/4 and 11/12", we are equivalently comparing "9/12 and 11/12".

The numerator 9 is smaller than the numerator 11, so 9/12 is smaller than 11/12

This points to 3/4 being smaller than 11/12.

5 0

3 years ago

Tony took a city bus from his dorm to the school library, and then to a gym for a workout

Feliz [49]

Answer:

27 miles.

Step-by-step explanation:

Here I attach the draw of the coordinates.

Tony traveled 3 segments. The first was from (12,6) to (12, 15), where, leting 12 constant, he moved from 6 to 15 in the ordinates axis, which implies 9 units. This is the section 1 in the draw.

Then he moved from point B to C. If you notice, this distance is the hypotenuse on the the triangle DBC. We can find this value using Pitagoras' theorem:

DB^2 + CD^2 = CB^2

With DB=15 and CD=8 (12 minus 4 = 8)

15^2 + 8^2 = 289

So CB^2=289

Applying sqr root:

CB = 17

So, the second section has a measure of 17 units.

Finally, the 3rd section is the hypotenuse of the DAC triangle and we can use Pitagoras to solve it:

CD^2 + AD^2 = CA^2

8^2 + 6^2 = CA^2

64 + 36 = 100

So, CA=10

In the 3r section we traveled 10 units.

So, in total he traveled 10 + 17 + 9 = 36 units

As every unit is 0.75 miles he traveled 36*0.75 miles:

36*0.75 = 27 miles

He traveled in total 27 miles!!

6 0

3 years ago