MATHEMATICS MIDDLE SCHOOL

multiply or divide and then simplify

(x+1)^2/(x-5)*(x-3)/(x+1)

3x+3/2 divided by 4/9x+9

4a/3a-3*3(a-1)/16a

x+2/x-1 divided by 5x+10/x-2

Answers

Answer 1
Answer: ((x+1)^2)/(x-5)\cdot(x-3)/(x+1)=(x+1)/(x-5)\cdot(x-3)/(1)=((x+1)(x-3))/(x-5)=(x^2-3x+x-3)/(x-5)=(x^2-2x-3)/(x-5)\n\nD:x\neq5\ \wedge\ x\neq-1


(3x+3)/(2):(4)/(9x+9)=(3x+3)/(2)\cdot(9x+9)/(4)=(27x^2+27x+27x+27)/(8)=(27x^2+54x+27)/(8)\n\nD:x\neq1


(4a)/(3a-3)\cdot(3(a-1))/(16a)=(1)/(3a-3)\cdot(3a-3)/(4a)=(1)/(4a)\n\nD:a\neq1\ \wedge\ a\neq0


(x+2)/(x-1):(5x+10)/(x-2)=(x+2)/(x-1)\cdot(x-2)/(5x+10)=(x+2)/(x-1)\cdot(x-2)/(5(x+2))=(1)/(x-1)\cdot(x-2)/(5)=(x-2)/(5x-5)\n\nD:x\neq1\ \wedge\ x\neq2\ \wedge\ x\neq-2

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Dao has 2 3/8 pounds of hamburger meat. He is making 1/4 -pound hamburgers. Does Dao have enough meat to make 10 hamburgers? Explain.

Answers

To find if there is enough, here is the equation
(1)/(4)×(10)/(1)
You multiple across
1×10=10 and 4×1=4=(10)/(4)
Then you divide the numerator(top) by the denominator(bottom)
10÷4=2 (2)/(4)⇒2(1)/(2)
To see if they equal, you multiply just the fraction by four
(1)/(2)×(4)/(4)=(4)/(8)
Thus the answer is 2 (4)/(8) which is larger than 2 (3)/(8)
Dao has enough meat to make 10 hamburgers because 2(4)/(8)>2 (3)/(8)

There are 10 fewer Trumpets in the band then Drums there are 20 drums how many trumpets are there

Answers

there are 10 trumpets because 20-10=10

Answer:

there are 10 trumpets

Step-by-step explanation:

For an sphere what would be the formula

Answers

A sphere's volume formula is :

{ V }_( sphere )=\frac { 4 }{ 3 } \cdot \pi \cdot { r }^( 3 )

and surface are formula is:

{ V }_( a )=4\cdot \pi \cdot { r }^( 2 )

Where r is radius.

For an sphere:

Diameter = (2) x (radius)

Radius = (1/2) x (diameter)

Surface area = (4) x (pi) x (radius)²

Volume = (4/3) x (pi) x (radius)³

I need help with this algebra question

Answers

the first answer
f(x)= (x-3)^2 + 4

Edward paid $4.77 in sales tax on an item that cost $53 before tax at that rate how much would he pay in sales tax for an item that cost 61.00 before tax

Answers

Answer:

He would pay $5.49.

Step-by-step explanation:

Edward paid $4.77 in sales tax on an item that cost $53 before tax.

Percentage of sales tax given on the item = (4.77)/(53) × 100

                                                                      = 0.09 × 100

                                                                      = 9%

9% sales tax of an item that cost 61.00 = (9)/(100) × 61

                                                                = 0.09 × 61

                                                                = $5.49

He would pay $5.49 in sales tax for an item that cost $61.00 before tax.

Answer:

The cost with tax is $66.49

Step-by-step explanation:

100% = 53

53 ÷ 100 = 0.53

4.77 ÷ 0.53 = 9% (sales tax)


100% = 61

109% = 61 + sales tax

61 x 1.09 = $66.49

What is the decimal number of 3 cents

Answers

The decimal number of three cents is 0.03
The answer is 0.03 becuase of the decimal place
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