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Ainat [17]
3 years ago
5

5x-1/5=7/3 Find The LCD That would eliminate the fractions

Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0

Answer:

x=\frac{7}{15}

Step-by-step explanation:

5x-\frac{1}{5} =\frac{7}{3}

5x - \frac{3}{15}  = \frac{35}{15}

5x - \frac{3}{15}  + \frac{3}{15} = \frac{35}{15}  + \frac{3}{15}

5x=\frac{35}{15}

\frac{5x}{5} } =\frac{\frac{35}{15}}{5}

x=\frac{7}{15}

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Find the Volume of this Octagonal Pyramid.<br> "B" represents the Area of the octagon base.
Dominik [7]

Answer:

7.06 x 10^(-7) ft 3

Step-by-step explanation:

We have the formula to calculate the volume of an octagonal Pyraamid as following:

<em>+) Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>

As given, the base of the pyramid is an octagon with area equal to 15mm2

=> Area of the base = 15 mm2

The height of the pyramid is the length of the line segment which is perpendicular to the base - which is the red line.

=> Height = 4mm

So we have:

<em>Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>

<em>= 1/3 * 15 * 4 = 20 mm3</em>

<em />

As: 1 mm3 = 3.53 x 10^(-8) ft 3

=> 20 mm3 = 7.06x10^(-7) ft 3

So the volume of the pyramid is :  7.06 x 10^(-7) ft 3

6 0
3 years ago
The probability that a can of paint contains contamination is 3.23%, and the probability of a mixing error is 2.4%. The probabil
stich3 [128]

Answer:

4.6%.

Step-by-step explanation:

The probability that a can of paint contains contamination(C) is 3.23%

P(C)=3.23%

The probability of a mixing(M) error is 2.4%.

P(M)=2.4%

The probability of both is 1.03%.

P(C \cap M)=1.03\%

We want to determine the probability that a randomly selected can has contamination or a mixing error. i.e. P(C \cup M)

In probability theory:

P(C \cup M) = P(C)+P(M)-P(C \cap M)\\P(C \cup M)=3.23+2.4-1.03\\P(C \cup M)=4.6\%

The probability that a randomly selected can has contamination or a mixing error is 4.6%.

3 0
3 years ago
1: In order to solve the inequality -1/4 x &gt; 8, which of the following steps must be done?
pogonyaev

Answer:

Step-by-step explanation:

-1/4x>8

x>8/(-1/4)

x>(8/1)(-4/1)

x>-32/1

x>-32

x<-32

The answer is D.

--------------------------

-3t+7>=9

-3t>=9-7

-3t>=2

t>=2/-3

t>=-2/3

t<=-2/3

The answer is A.

3 0
3 years ago
A shop advertised a 27% off sale. If a coat originally sold for 253 , find the decrease in price and the sale price
OverLord2011 [107]
253 * 0.27= 68.31 (discounted price)

253-68.31 OR 253*0.73= 184.69 (sale price)
8 0
3 years ago
3x − 1/2(8x − 2) = 4 step 1: 3x − 4x 1 = 4 step 2: x 1 = 4 step 3: x 1 − 1 = 4 − 1 step 4: x = 3 which step was the error made a
Mrrafil [7]
3x-1/2(8x-2)=4
3x-4x+1=4
-x=3
X=-3
8 0
3 years ago
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