What is –3 2/3 · (–2 1/4 )?

Answers

Answer 1

Answer: $-3(2)/(3)\cdot\left(-2\frac{1}4{}\right)=\n--------------------\nnegative\ number\ multiply\ by\ negative\ number\ is\ a\ positive\ number\n--------------------\n-3(2)/(3)\cdot\left(-2\frac{1}4{}\right)=3(2)/(3)\cdot2(1)/(4)=\n------------------------------\n$

if you want to multiply mixed numbers you need to turn them into improper fractions

$3(2)/(3)\cdot2(1)/(4)=(3\cdot3+2)/(3)\cdot(2\cdot4+1)/(4)=(9+2)/(3)\cdot(8+1)/(4)=(11)/(3)\cdot(9)/(4)=(11)/(1)\cdot(3)/(4)=(11\cdot3)/(1\cdot4)\n\center\boxed{=(33)/(4)=8(1)/(4)}$

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Whats the difference between 7 7/8 - 3 1/4

Answers

7 7/8 - 3 1/4

7 7/8 = 6.125

3 1/4 = 0.75

so 6.125 - 0.75

= 5.375

as a mixed fraction the answer is 5 3/8

Describe what a vaccine is made of and how it helps prevent infection.

Answers

Answer:

Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

hope it helps.

stay safe healthy and happy...

Answer:Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

Step-by-step explanation:

What are the values of x in the equation x(x-6)=4(x+6)

Answers

$x(x-6)=4(x+6)\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\n\nx(x)+x(-6)=4(x)+4(6)\n\nx^2-6x=4x+24\ \ \ \ |subtract\ 4x\ and\ 24\ from\ both\ sides\n\nx^2-10x-24=0\n\nx^2-12x+2x-24=0\n\nx(x-12)+2(x-12)=0\iff(x-12)(x+2)=0\n\ntherefore\n\nx-12=0\ or\ x+2=0\n\nAnswer:\boxed{x=12\ or\ x=-2}$

        x(x - 6) = 4(x + 6)
    x(x) - x(6) = 4(x) + 4(6)
     x² - 6x = 4x + 24
         - 4x - 4x
     x² - 10x = 24
x² - 10x - 24 = 24 - 24
x² - 10x - 24 = 0
x = -(-10) +/- √((-10) - 4(1)(-24))
   2(1)
x = 10 +/- √(100 + 96)
   2
x = 10 +/- √(196)
2
x = 10 +/- 14
2
x = 5 + 7
x = 5 + 7 U x = 5 - 7
x = 12    x = -2
The values of x in the equation is either equal to 12 or -2.

Sneakers cost $63, the sales tax rate is 7.5% what is the total cost if the sneakers to the nearest cent

Answers

$total\ cost=\ cost\ of\ sneakers+ 7.5\%*cost\ of\ sneakers\n\ntotal\ cost= 63+7.5\%*63=63+0.075*63=63+4.725=\n67.7\$\n\nTotal\ cost\ is\ 67.7\$.$

The steamboat River Queen travels at the rate of 30km/h in still water. If it can travel 45 km up stream in the same amount of time that it takes to go 63 km down stream what is the rate of the current.

Answers

$x-the\ rate\ of\ the\ current\nt-time\n\n \left\{\begin{array}{ccc}(30-x)t=45\n(30+x)t=63\end{array}\right\n \left\{\begin{array}{ccc}t=(45)/(30-x)\nt=(63)/(30+x)\end{array}\right\n\n(45)/(30-x)=(63)/(30+x)\n\ncross\ multiply\n\n63(30-x)=45(30+x)\n1890-63x=1350+45x\n-63x-45x=1350-1890\n-108x=-540\ \ \ \ /:(-108)\nx=5\n\nAnswer:The\ rate\ of\ the\ current\ is\ 5\ km/h.$

Solve for a: a2-8a+12 which is the correct a.-2,-6 b.2,6. C.-3,-4 or d.3,4 for me is Ccc help pleas

Answers

$a^2-8a+12 =0 \n \n(a-2)(a-6)=0 \n \na-2=0 \ \ or \ \ a-6 =0 \n \na=2 \ \ or \ \ a=6 \n \nAnswer : \ b. \ \ 2,6$

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