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Lapatulllka [165]
3 years ago
13

Please help me with this!

Mathematics
2 answers:
dezoksy [38]3 years ago
8 0

Answer:

x = 27

Step-by-step explanation:

Use the ratio and proportion:

<u>   10   </u> = <u>     14    </u>

x + 8     2x - 5

just X multiply:

14 ( x + 8 ) = 10 ( 2x - 5 )

-6x = -162

x = -162 / -6

x = 27

iragen [17]3 years ago
3 0
10/14 = x+8/ 2x-5, so 10*2x-5= 14*x+8(cross multiplication)
So 20x-50= 14x+112(simplification), so subtract 14x: 6x-50=112, then add 50 to both sides: 6x=162, divide by 6: x=27
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A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area
elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

SA=2\pi r^2 + 2\pi r h

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi

Original SA is 44\pi,

Halving diameter makes it 20\pi

Halving height makes it 26\pi

So, halving diameter does not have same effect as halving height.

5 0
2 years ago
A container holds 24 pints of lemonade. How much is this in gallons?
krok68 [10]

Answer:

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3 0
2 years ago
Value of P: 3/15(p+10)=-15
ArbitrLikvidat [17]
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<span> 3.1 </span>  Subtracting a whole from a fraction 

Rewrite the whole as a fraction using <span> 5 </span> as the denominator :

-15 -15 • 5 -15 = ——— = ——————— 1 5

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 3.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(p+10) - (-15 • 5) p + 85 —————————————————— = —————— 5 5 <span>Equation at the end of step  3  :</span> p + 85 —————— = 0 5 <span>Step  4  :</span>When a fraction equals zero :<span><span> 4.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

p+85 ———— • 5 = 0 • 5 5

Now, on the left hand side, the <span> 5 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   p+85  = 0

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    p+85 = 0<span> 

 </span>Subtract  85  from both sides of the equation :<span> 
 </span>                     p = -85 

One solution was found :                  <span> p = -85</span>
7 0
3 years ago
Find the slope of the line that passes through the following points. Write "undefined" if the slope is undefined.
Katyanochek1 [597]

The slope of the line that passes through the following points is undefined

<em><u>Solution:</u></em>

Given that, We have to find the slope of line passing through two points

Given points are (-1, 5) and (-1, 6)

<em><u>The slope of line is given by formula:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

From given,

(x_1, y_1) = (-1, 5)\\\\(x_2, y_2) = (-1, 6)

<em><u>Substituting the values we get,</u></em>

m = \frac{6-5}{-1-(-1)}\\\\m = \frac{1}{-1+1}\\\\m = \frac{1}{0}

Thus the slope is undefined

5 0
2 years ago
Please can u tell me the answer and method
stich3 [128]
160/4=40 so each side is 40. Divide the perimeter by how many sides you have.
6 0
3 years ago
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