(x/2 - 3 1/3) - (x/4

Compare the wins-to-losses ratios for the teams. Team Records Team Wins Losses Cougars 12 10 Bobcats 20 10 Bulldogs 8 5 Tigers 3

UkoKoshka [18]

Answer:

Bobcats

Step-by-step explanation:

The wins-to-losses ratio for the Cougars is 12:10. This can also be written as 12/10; writing this as a decimal, we would have 1.2.

The wins-to-losses ratio for the Bobcats is 20:10. This can also be written as 20/10, which is the same as 2.0.

The wins-to-losses ratio for the Bulldogs is 8:5. This can also be written as 8/5, which is the same as 1.6.

The wins-to-losses ratio for the Tigers is 3:5. This can also be written as 3/5,l which is the same as 0.6.

The largest of these decimals is 2.0; this means the Bobcats have the greatest ratio of wins to losses.

4 0

3 years ago

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Jessica is walking home from a friend's house after 2 minutes she is 1.6 miles from home 8 minutes after leaving she is 1.1 mile

Artist 52 [7]

1.6 miles - 1.1 miles = 0.5 miles

8 minutes - 2 minutes = 6 minutes

She traveled 0.5 miles in 6 minutes.

1 hour = 60 minutes.

60 minutes / 6 minutes = 10

0.5 x 10 = 5

She is walking 5 miles per hour.

5 0

3 years ago

Write 2.71x10-3 as an ordinary number.

Katyanochek1 [597]

Step-by-step explanation:

${2.71 \times 10}^{ - 3}$

This can be rewritten as

$2.71 \times \frac{1}{10^{3} }$

If we will solve this way,

$\frac{2.71}{1000} = 0.00271$

But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.

From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.

If the exponent has a positive value, move TO THE RIGHT.

For example,

$2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710$

Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.

5 0

3 years ago

Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200, Ben is cha

faltersainse [42]

Answer:

$\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.$

Step-by-step explanation:

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

We are also told that For any minutes over 200, Ben is charged $0.35 per minute.

let x be the minutes used each month

So, if $x\leq 200$

So, coat will be $39

If $x>200$

So, Ben is charged $0.35 per minute

So, when $x>200$

So, charge = $39+(x-200)\times 0.35$

So, the piecewise functions accurately represents charges based on Ben's cell phone :

$\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.$

4 0

3 years ago

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On his first three tests, Shaun scored 88, 98, and 79. What score must he get on his fourth test to have an average (mean) of 80

solniwko [45]

Answer:

Step-by-step explanation:

let score in fourth test=x

88+98+79+x=80×4

265+x=320

x=320-265=55

7 0

3 years ago

(x/2 - 3 1/3) - (x/4 - 1 2/3)