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Bogdan [553]
3 years ago
15

One number is 8 less than a second number. Twice the second number is 52 more than 5 times the first. Find the smaller of the tw

o numbers.
Mathematics
2 answers:
Lemur [1.5K]3 years ago
5 0

I will try my best...


Let x and y be the two numbers.  


x = y - 4  


2y = 5x - 10  


Now, we solve the system of equations:  


2y = 5(y - 4) - 10  


2y = 5y - 20 - 10  


-3y = -30  



So...


y = 10  


x = 10 - 4 = 6


JulijaS [17]3 years ago
3 0

Let x and y be the two numbers.  

x = y - 4  

2y = 5x - 10  

solve the system of equations:  

2y = 5(y - 4) - 10  

2y = 5y - 20 - 10  

-3y = -30  

y = 10  

x = 10 - 4 = 6

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rodikova [14]

Answer:

√27

Step-by-step explanation:

The triangles of the pyramid are equilateral triangles with sides of 6''.

Dividing a triangle into two equal parts we get two congruent right triangles, with a hypotenuse of 6'', one leg of 3'', and the other leg is the slant height (s). From Pythagorean theorem:

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8 0
3 years ago
What is the midpoint of (-5,6) (8,-6)
MAXImum [283]

Answer:

The answer is

<h2>( \frac{3}{2}  \: , \: 0)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

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From the question the points are

(-5,6) (8,-6)

The midpoint is

M = ( \frac{ -  5 + 8}{2}  \:  , \:  \frac{6 - 6}{2} ) \\  = ( \frac{3}{2}  \: , \:  \frac{0}{2} )

We have the final answer as

( \frac{3}{2}  \: , \: 0)

Hope this helps you

8 0
3 years ago
Solve for x.3-sqrt(x)=0 What is the root? If there is none, choose none. x = 3 x = 9 none
Anon25 [30]

Answer:

x = 9

Step-by-step explanation:

You can solve this problem by isolating the variable.

3-√x = 0  

√x = 3 (add √x to both sides of the equation)

x = 9 (square both sides of the equation)

8 0
3 years ago
Find the values of x,y,z. This diagram is not a scale.
Serjik [45]

Important:
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                              every triangle is always 180°.


First, look at the left triangle alone.
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That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'. 
                                                         x = 76° .

At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
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Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and  z = 104°. 
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'y' is the third angle.
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3 0
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coldgirl [10]

With the given order of integration, the interval over D is

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8 0
2 years ago
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