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3 years ago

The sum of two consecutive number is 15. the number are and solve

Mathematics

1 answer:

Fiesta28 [93]3 years ago

7 0

By Question it's given that the sum of two numbers is 15 . And we need to find out the numbers. So ,

Let us take :-

First number = x
Second number = x + 1

According to the Question :-

$\sf\implies x + x +1=15\\\\\sf\implies 2x = 15-1\\\\\sf\implies 2x =14 \\\\\sf\implies x =14/2 \\\\\sf\implies\red{ x = 7 }$

Therefore :-

First number = 7
Second number = 8

Hence the two numbers are 7 and 8. 

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A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

vitfil [10]

A direct variation has a constant slope, i.e. (y/x)= constant.

Both of the given two points give a slope of (y/x)=14/2=28/4=7, so the equation of the function is
y/x=7, or simply
y=7x

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3 years ago

The sum of four consecutive even integers is 256. what are the numbers?

Naily [24]

Answer:

61 , 63 , 65 , 67

Step-by-step explanation:

Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:

(x) + (x + 2) + (x + 4) (x + 6) = 256

First, simplify. Combine all like terms:

x + x + x + x + 2 + 4 + 6 = 256

4x + 12 = 256

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

4x + 12 (-12) = 256 (-12)

4x = 256 - 12

4x = 144

Next, divide 4 from both sides of the equation:

(4x)/4 = (144)/4

x = 144/4

x = 61

61 is your first number. Find the next 3 consecutive numbers:

x = 61

x + 2 = 63

x + 4 = 65

x + 6 = 67

Check:

61 + 63 + 65 + 67 = 256

256 = 256

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3 years ago

A shopper bought shoes marked 40$the sales tax is5% how much is the sales tax

irakobra [83]

The sales tax is 2$ Hope this is the answer you're looking for.

5 0

3 years ago

Read 2 more answers

The perimeter of the rectangle is 146 units. What is the length of the longer side?

NeTakaya

we know that

the perimeter of the rectangle is equal to

$P=2W+2L$

where

P is the perimeter of the rectangle

W is the width of the rectangle

L s the length of the rectangle

In this problem

$P=146\ units \\ W=2x\\ L=3x+3$

Substitute the values in the formula above

$P=2W+2L\\ 146=2*(2x)+2*(3x+3)\\ 73=2x+3x+3\\ 5x=70\\ x=14\ units$

$W=2x=2*14=28\ units\\ L=3x+3=3*14+3=45\ units$

therefore

the answer is

the length of the longer side of the rectangle is equal to $45\ units$

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3 years ago

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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

m_a_m_a [10]

Answer:

Required volume is $\frac{4864\pi}{3}$ unit.

Step-by-step explanation:

Given equations of curves,

$y=32-x^2$ , $y=x^2$

substitute second in first we will get,

$x^2=36-x^2\implies x^2=16\implies x=\pm 4$

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Considering width of the representative rectangle as $\Delta x$ which is parallel to x-axis because of considering cylindrical shell. Therefore volume of the shell is given by,