<img src="https://tex.z-dn.net/?f=12%20%5Cfrac%7B1%7D%7B3%7D%20%5Cdiv%202" id="TexFormula1" title="12 \frac{1}{3} \div 2" alt="1

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Bumek [7]

3 years ago

2 \frac{1}{3} \div 2" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

aev [14]3 years ago

3 0

Answer:

37/6

Step-by-step explanation:

Simplify the following:

(12 + 1/3)/2

Put 12 + 1/3 over the common denominator 3. 12 + 1/3 = (3×12)/3 + 1/3:

((3×12)/3 + 1/3)/2

3×12 = 36:

(36/3 + 1/3)/2

36/3 + 1/3 = (36 + 1)/3:

((36 + 1)/3)/2

36 + 1 = 37:

(37/3)/2

37/3×1/2 = 37/(3×2):

37/(3×2)

3×2 = 6:

Answer: 37/6

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If (x + 1)(x-3) = 5, then which of the following statements is true?

bixtya [17]

Answer:

x=−2 or x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x2−2x−3=5

Step 2: Subtract 5 from both sides.

x2−2x−3−5=5−5

x2−2x−8=0

Step 3: Factor left side of equation.

(x+2)(x−4)=0

Step 4: Set factors equal to 0.

x+2=0 or x−4=0

x=−2 or x=4

5 0

4 years ago

Find the volume of a sphere with surface area equal to 100π ft^2

Anni [7]

Answer:

$V=\frac{500}{3}\ \pi(ft^{3})$

Step-by-step explanation:

Hello.

to find the volume of a sphere we must know its radius,

we don't know the radius but we have the area

$A=4\pi r^{2} \\ \\isolating\ r\\\\A=4\pi r^{2}\\r=\sqrt{\frac{A}{4\pi } } \\r=\sqrt{\frac{100\ ft^{2} }{4\pi}} \\\\ r= \sqrt{25\ ft^{2} }\\ r=5\ ft\\$

Now, replacing this value in the volume equation

$V=\frac{4\pi r^{3} }{3} \\V=\frac{4\pi\ (5\ ft)^{3} }{3}\\ V=\frac{4\pi\ (125 ft^{3}) }{3}\\V=\frac{500}{3}\ \pi (ft^{3})\\\\\\$

have a great day

8 0

3 years ago

Read 2 more answers

Alison bought a video game for $35, which was 35% off the original price. What was the original

Jlenok [28]

Answer: the answer to your question is $57.75

Step-by-step explanation: so first you have to realize that if you have something that is 35 percent off then you have .65 of that thing so you multiply 35 by .65 then you get 22.75 then you add that to 35 for your answer.

3 0

3 years ago

Point V is on line segment \overline{UW}

ser-zykov [4K]

The measure of VW from the given expressions is 4

<h3>Line segments</h3>

If the point V is on the line Uw, then;

UW = UV + VW

Given the following

VW=x, UV=3x-1 and UW=5x-5

Substitute

5x - 5 = 3x-1+x
5x - 5 = 4x - 1

Collect like terms

x = -1 + 5

x = 4

VW = x = 4

Hence the measure of VW from the given expressions is 4

Learn more on line segment here: brainly.com/question/2437195

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6 0

1 year ago

Find the y-intercept and the axis of symmetry of f(x)=ax^2+2ax+3.

Setler [38]

Answer:

y-intercept = (0,3)

Axis of symetry is -1

Step-by-step explanation:

ax^2+2ax+3 <-- y-intercept

Axis of symetry is -b/2a

-2a/2a=-1

7 0

3 years ago