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natulia [17]
2 years ago
10

Lewis designs a game in which players work together to run a food truck business. During one game, the business loses $260. The

four players share the loss equally. Write and solve an equation to represent the change in profit for each player.
Mathematics
1 answer:
Ronch [10]2 years ago
3 0

Answer:

They each lost 65 dollars.

Step-by-step explanation:

Well they lost 260 dollars in total. 260/4 is 65. That means they now have however much money they had before -65.

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A school play earned over $250 from selling tickets, which cost $11 each. Which of the following inequalities models this situat
jeyben [28]
Its B because its supposed to be OVER 250
7 0
3 years ago
Read 2 more answers
I need to get the left side to equal the right side. Keeping the right side alone and not changing it.
likoan [24]

<u>To prove the trigonometric equation:</u>

\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)

RHS=(\sin x+\cos x)(1-\sin x \cos x)

We know that \sin^2x +\cos^2x=1, substitute this in place of 1.

       =(\sin x+\cos x)(\sin^2x +\cos^2x-\sin x \cos x)

Multiply each term of the first term with each term of the 2nd term.

       =\sin^3x + \sin x \cos^2x-\sin^2 x \cos x+\cos x \sin^2 x + \cos^3 x-\sin x\cos^2 x

Group like terms together.

       =\sin^3x +( \sin x \cos^2x-\sin x\cos^2 x)+(\cos x \sin^2 x-\sin^2 x \cos x) + \cos^3 x

       =\sin^3x +( 0)+(0) + \cos^3 x

       =\sin^3x + \cos^3 x

       = LHS

RHS = LHS

\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)

Hence proved.

7 0
3 years ago
What is third of 1 5/8
stiv31 [10]

1 5/8 = 13/
8
= 1 5/
8
= 1.625
Spelled result in words is thirteen eighths (or one and five eighths).

How do you solve fractions step by step?
Conversion a mixed number 1 5/
8
to a improper fraction: 1 5/8 = 1 5/
8
= 1 · 8 + 5/
8
= 8 + 5/
8
= 13/
8


To find new numerator:
a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/
8
= 8/
8

b) Add the answer from previous step 8 to the numerator 5. New numerator is 8 + 5 = 13
c) Write a previous answer (new numerator 13) over the denominator 8.

One and five eighths is thirteen eighths
4 0
2 years ago
Which is equivalent to 80<br> 302<br> 0 0<br> 10 0
agasfer [191]

Answer:

The second

Step-by-step explanation:

7 0
3 years ago
Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. K
Zepler [3.9K]
<h2>Hello!</h2>

The answer is:

Ava and Kelly will be 3/4 mile apart after 0.375 hours.

<h2>Why?</h2>

To calculate when will Ava and Kelly be 3/4 mile apart, we need to write the equations for both Ava's and Kelly's positions.

Writing the equations we have:

For Ava:

x_A=x_o+v_ot\\\\x_A=0+v_o*t\\\\x_A=v_{o(ava)*t

For Kelly:

We need to calculate when Kelly will be 3/4 mile apart becase is running faster than Ava, so, writing the equation we have:

x_K=x_A+\frac{3}{4}mile=x_o+v_{o(Kelly)}*t

Now, substituting the equation for Ava into the equation for Kelly, we have:

x_A+\frac{3}{4}mile=x_o+v_{o(Kelly)}*t

v_{o(ava)*t+\frac{3}{4}mile}=x_o+v_{o(Kelly)}*t

v_{o(ava)*t+0.75mile}=x_{o}+v_{o(Kelly)}*t\\\\6mph*t+0.75mile=8mph*t\\\\0.75mile=2mph*t\\\\t=\frac{0.75miles}{2mph}=0.375hours

To prove  that the result is correct, we just need to substitute the obtained value for time into both equations, so, substutiting we have:

For Ava:

x_A=v_{o(ava)*t=6mph*0.375hours=2.25miles

For Kelly:

x_K=v_{o(Kelly)}*t=8mph*0.375=3miles

There is a difference of 0.75 miles or 3/4 mile between Ava and Kelly, so, the obtained value for time is correct.

Therefore, we have that Ava and Kelly will be 3/4 mile apart after 0.375 hours.

Have a nice day!

5 0
3 years ago
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