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3 years ago

A camping store is having a sale all tents are 20% off. Bella wants to know the sale price of a tent that is regularly $140.

Mathematics

2 answers:

Firlakuza [10]3 years ago

7 0

Answer:

$112

Step-by-step explanation:

20% off means 100-20 = 80% to be paid

80% of 140

80/100 × 140

112

ycow [4]3 years ago

5 0

Answer:

$112

Step-by-step explanation:

First find the discount

Take the original price times the discount percent

discount = original price * percent

= 140* 20%

=140 *.20

=28

Then to find the sale price, take the original price and subtract the discount

sale price = 140-28

=112

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What is the solution set for 4x+9 <17? Is B right? Or A?

kari74 [83]

Answer:

$x$

Step-by-step explanation:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}$

$4x+9-9$

$\mathrm{Simplify}$

$4x$

$\mathrm{Divide\:both\:sides\:by\:}4$

$=x$

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3 years ago

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Which expression is a sum of cubes?

erik [133]

we know that

A polynomial in the form $a^{3} +b^{3}$ is called a sum of cubes

Let's verify each case to determine the solution

case A) $-64x^{6} y^{12} +125x^{16} y^{3}$

we know that

$-64=-4^{3}$

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{16}=x^{15} *x=x*(x^{5})^{3}$ -------> is not a perfect cube

$y^{3}= (y)^{3}$

therefore

the case A) is not a sum of cubes

case B) $-32x^{6} y^{12} +125x^{16} y^{3}$

we know that

$-32=-2^{5}$ -------> is not a perfect cube

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{16}=x^{15} *x=x*(x^{5})^{3}$ -------> is not a perfect cube

$y^{3}= (y)^{3}$

therefore

the case B) is not a sum of cubes

case C) $32x^{6} y^{12} +125x^{9} y^{3}$

we know that

$32=2^{5}$ -------> is not a perfect cube

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{9}=(x^{3})^{3}$

$y^{3}= (y)^{3}$

therefore

the case C) is not a sum of cubes

case A) $64x^{6} y^{12} +125x^{9} y^{3}$

we know that

$64=4^{3}$

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{9}=(x^{3})^{3}$

$y^{3}= (y)^{3}$

Substitute

$4^{3}(x^{2})^{3}(y^{4})^{3} +5^{3}(x^{3})^{3}(y)^{3}$

$(4x^{2}y^{4})^{3} +(5x^{3}y)^{3}$

therefore

the answer is

$64x^{6} y^{12} +125x^{9} y^{3}$ is a sum of cubes

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3 years ago

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Margarita [4]

Answer:

Logic with the use of Truth Table

Step-by-step explanation: a) Oleg is a math major= P; Oleg is a economic major=Q; Oleg is required to take math 362=R; Oleg is not required to take 362=←R

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P║ Q ║ P∨Q

T T T

T F T

F T T

F F F

ii) Oleg is a math major, then Oleg is required to take Math 362:

P║ R ║ P∧ R

T T T

T F F

F T F

F F F

iii) Oleg is an economic major or Oleg is not required to take Math 362:

Q║ ←R ║ Q ∨ ←R

T T T

T F T

F T T

F F F

c) It is valid because Oleg can only take Math 362 since Oleg is a math major, therefore, it follows that, R ∧ ( P ∨ Q) is valid.

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Montano1993 [528]

Answer:

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Step-by-step explanation:

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