in one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether, they hit 18 home runs. how many home runs did each player hit that season?

Answers

Answer 1
Answer: Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)

Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8

Therefore, Peter hit 8 home runs and Alice hit 10 home runs.

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Solve each System by substitution y=-5 5x+4y=-20
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$6300 is invested , part of it at 12%, and part at 6%.  For a certain year, the total yield is 564.00.  How much was invested at each rate?

5+ 10 + 6x 1/10 + 7x1000 in decimal form.

Answers

Remember order of operations.  Please (Parenthesis and brackets) Excuse (exponents) My (multiplication) Dear (Division) Aunt (Add) Sally (Subtract).  Also remember that multiplication and division as well as addition and subtraction should go from left to right. So if you were to do this problem first I'd convert the fraction 1/10 to a decimal.  That's like saying 1 in 10 or 10%.  So it should convert to .10 x 6 = 0.60 and don't forget to multiple 7 x1000 next. (Left to right).  7,000.  So it becomes 5+10+0.60+7,000 then add. 7,015.60 is your answer. 

Four employees can wash 20 service vehicles in 5 hours. how long would it tke 5 employees to wash the same number of vehicles?

Answers

So the employee rate for washing cars turns out to be 4*5 = 20 man hours to wash 20 vehicles which is 1 vehicle per hour per employee. 
5 employees will wash 5 vehicles in 1 hour 
5 employees will wash 20 vehicles in 1*4 = 4 hours.

The figures above are similar. Find the missing length. Show your work.

Answers

5/3 likr 3/x so 5x=9 and x= 9/5 or 1.8

F(x)=5x + 4
When f(x) =54

Answers

The answer is x=10....

Answer:

274

Step-by-step explanation:

5(54)+4 = 274

An angle measures 52° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

64º and 116º

Step-by-step explanation:

x  + (x - 52) = 1080

2x - 52 = 180

2x = 232

x = 116º

x - 52 = 64º

A jar lid has a diameter of 42 millimeters.What is the circumference of the lid?

Answers

\sf{Circumference = \pi * diameter

We are given that the diameter = 42 millimeters

C = \pi * 42\n\n\boxed{\bf{C = 42\pi \approx 131.95~mm}}

The circumference of the lid is approximately 131.95 millimeters.
circumference of a circle = π x diameter

= π x 42
131.946891451
= 132 mm