MATHEMATICS HIGH SCHOOL

Perform each of the following conversions, making sure to use the correct abbreviations for units? A) 7.000 cubic centimeters to kiloliters B) 80. cm2 to inches2

Answers

Answer 1

Answer:

A) To convert 7.000 cubic centimeters to kiloliters:

7.000 cm^3 * (1 kL / 1,000,000 cm^3) = 0.000007 kL

B) To convert 80. cm^2 to square inches:

80. cm^2 * (1 in^2 / 6.4516 cm^2) ≈ 12.44 in^2

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1Solve this quadratic using two different
methods. Show both methods.
x2 + 4x - 5 = 0

Answers

Answer:

x = -5 or x = 1

Step-by-step explanation:

$x^(2) + 4x - 5 = 0\n(x+5)(x-1)=0\n$

Given g ( x ) = 3 x − 4 g(x)=3x−4, solve for x x when g ( x ) = 5 g(x)=5.

Answers

Answer:

g(5) = -19

Step-by-step explanation:

Substitute 5 for x in the equation

Plug in 5 for the x's and get g(x)=-3(5)-4 and then -15-4 which is -19 so g(x)=-19

The sum of two numbers is 35. twice the first number is equal to 5 times the second number. find the two numbers

Answers

label your numbers (I'm picking x and y)
x+y=35
2x=5y
find the relationship between your numbers
x=35-y
apply this to the other equation
2 (35-y)=5y
now simplify to find y
70-2y=5y
70=7y
y=70/7=10
now apply your newly found y to find x
x+10=35
x=25
check your answers
2 (25)=5 (10)
50=50
so our first number x is 25 and our second number y is 10

What is 4/9(x+3)=g, solve for x?

Answers

$(4)/(9)(x+3)=g\ \ \ \ |multiply\ both\ sides\ by\ 9\n\n4(x+3)=9g\ \ \ \ |use\ distributive\ property:a(b+c)=ab+ac\n\n4x+12=9g\ \ \ \ |subtract\ 12\ from\ both\ sides\n\n4x=9g-12\ \ \ \ |divide\ both\ sides\ by\ 4\n\n\boxed{x=(9)/(4)g-3}$

$(4)/(9(x+3)) = g$

$(4(x+3))/(9) =g$

$4(x+3)=g*9$ $||Multiply- both -sides -by-\ \textgreater \ 9||$

$4(x+3)=9g$ $||Regroup -terms||$

$x+3= (9g)/(4)$ $||Divide- both -sides- by-\ \textgreater \ 4||$

$x= (9g)/(4) -3$

Six people are standing in line for concert tickets. Their average age is 27. the average age of the first four people in line is 23. The average age of the last three people is 34. How old is the fourth person in line?

Answers

Total age
6 * 27
162

Subtotal age of first 4
4 * 23
92

Subtotal of last 3
3 * 34
102

In the total of the first 4 and last 3
the 4th person has been counted twice.
This second time must be subtracted.

Therefor
92 + 102 - x = 162
194 - x = 162

Subtract 194 from both sides
-x = -32

Multiply both sides by -1
x = 32

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Expanding Brackets when cubed eg(x - 5)3 Answer given is xcubed -15xsquared + 75x -125 How do I work this? I can do two brackets but having trouble with the three brackets. Thanks

Answers

Solve like this - (x-5)^3
= (x-5)(x-5)^2
= (x-5) ( x^2 -10x + 25)
= x^3 -15x^2 + 75 - 125

Hope this helped

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