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mestny [16]
3 years ago
11

What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p ​

Mathematics
2 answers:
zubka84 [21]3 years ago
7 0

\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}

  • \sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5}   } 

  • \sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5}   } 

  • \sf{5(\dfrac{2}{5}+p)=4+3p } 

  • \sf{ 2+5p=4+3p  } 

  • \sf{5p-3p=4-2   } 

  • \sf{ 2p=2  } 

  • \sf{p=\dfrac{2}{2}   } 

  • \bold{p=1   } 
masha68 [24]3 years ago
4 0

Answer:

p=1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

Multiply each side by 5 to clear the fractions

5(2/5 + p) = 5(4/5 + 3/5p)

2 +5p = 4 + 3p

Subtract 3p from each side

2+5p-3p = 4+3p-3p

2+2p = 4

Subtract 2 from each side

2+2p -2 = 4-2

2p =2

Divide by 2

2p/2 = 2/2

p=1

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A company rents water tanks shaped like cylinders. Each tank has a diameter of 8 feet and a height of 3 feet. The cost is $5 per
BARSIC [14]

Answer:

$754.05

Step-by-step explanation:

We have to find the volume of one tank and multiply it by the cost of renting the tank per cubic foot.

The volume of a cylinder is:

V = \pi r^2h

where r = radius

h = height

Each tank has a diameter of 8 feet (radius = 4 feet) and a height of 3 feet.

The volume of the tank is therefore:

V = \pi * 4^2 * 3 = 150.81 ft^3

The cost of renting is $5 per cubic foot.

Therefore, the cost of renting a tank is:

150.81 * 5 = $754.05

It costs $754.05 to rent a tank.

4 0
4 years ago
PLEASE help me solve this question! No nonsense answers, and attach full solutions please!
Furkat [3]

Answer:

6.4 seconds

Step-by-step explanation:

Using the second equation of motion.

d= 200m/s.

a= 9.8ms^-1 . Acceleration due to gravity.

t= time.

substituting,

t=

\sqrt{2  \times  \frac{200}{9.8}  }

t= 6.4 seconds

6 0
4 years ago
when a pen is sold at a discount of 15%, there is a gain of Rs 10. but if it is sold at 25% discount, there is a loss of Rs 2. f
LenaWriter [7]

Answer:

Rs 120.  

Step-by-step explanation:

10=0.85SP-CP; CP+10=0.85SP; SP=[CP+10]/0.85 Eq 1. Let SP= Selling Price and CP= Cost Price

-2 =0.75SP-CP; 0.75SP=C-2; SP=[CP-2]/0.75 Eq 2

[CP+10]/0.85=[CP-2]/0.75 : SP of Eq 1=SP of Eq 2

0.75[CP+10]=0.85[CP-2]

0.75CP+7.5=0.85CP-1.7

0.85CP-0.75CP=-1.7–7.5=9.2

0.10CP=9.2; CP=9.2/0.10

CP=Rs 92 Cost Price of pen

10=0.85SP-92; 0.85SP=92+10=102; SP=102/0.85=Rs 120 Marked Price of pen (answer)

From Eq2: -2=0.75SP-CP; 0.75SP=CP-2=92–2=90; SP=90/0.75=Rs120; -2=0.75(120)-CP; CP-2=0.75(120); CP-2=90; CP=90+2=Rs 92

Set CP of Eq 1=CP of Eq 2:

CP=0.85SP-10 from Eq 1; CP=0.75SP+2 from Eq 2;

0.85SP-10=0.75SP+2; 0.85SP-0.75SP=10+2=12

0.10SP=12; SP=12/0.10=Rs120 is the Marked Price(answer)

Normally, the Selling Price is the marked price. The seller will not disclose the Cost Price because it is the price when the item was acquired or procured, otherwise the buyer will ask for more discounts and based his buying price from the Cost Price if it is known. The calculated SP and CP satisfy both Eq 1 and Eq 2. Both Eq 1 and Eq 2 satisfy the given conditions of the problem above.

8 0
3 years ago
Compare your response to the sample response above. what did your explanation include? the conclusion that the work was incorrec
Alenkasestr [34]

In the case above, Talib work is not correct as one need to first switch x and y before one can solve for y.

<h3>What is the variables  about?</h3>

Note that:

y=-8x+4

y-4=-8x

(y-4)/-8=x

Since the independent variable x is known, one can switch the variable labels and thus it will be:

y=(x-4)/-8

f^-1(x)=(x-4)/-8    

This can be written again as:

f^-1(x)=(4-x)/8  :P

Thus one can say  No, as he forgot to switch the variable labels after solving for the independent variable.

In the case above, Talib work is not correct as one need to first switch x and y before one can solve for y.

See the first part of the question below

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your answer.

Learn more about variable from

brainly.com/question/4063302

#SPJ1

6 0
3 years ago
What is the area of this polygon? <br><br> Pleasee help mee<br><br> I will mark brainliest!
Ira Lisetskai [31]

Answer:

60 squared inches.

Step-by-step explanation:

You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.

The rectangle:

5(11)=55

The triangle:

2(5)=10\\10/2=5

Therefore, the whole polygon is 60 squared inches.

6 0
4 years ago
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