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2 years ago

He system of equations below has no solution.

Mathematics

1 answer:

vesna_86 [32]2 years ago

8 0

a linear combination can be:

(a + b)*(4x + 15y) = a*12 + b*15

<h3>How to solve the given system of equations:</h3>

Here we have the system of equations:

(2/3)*x + (5/2)*y = 15

4x + 15y = 12

To solve the system of equations, we first need to isolate one of the variables in one of the equations, I will isolate x on the second equation.

4x = 12 - 15y

x = (12 - 15y)/4

Now we can replace that in the other equation:

(2/3)*x + (5/2)*y = 15

(2/3)* (12 - 15y)/4 + (5/2)*y = 15

Now we can solve that for y.

2 - (10/4)*y + (5/2)*y = 15

2 = 15

That is a false equation, then we conclude that the system of linear equations has no solutions.

This means that the two lines are parallel lines, then a linear combination can be:

(a + b)*(4x + 15y) = a*12 + b*15

Where a and b are two real numbers.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

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a theater is designed with 15 seats in the first row, 19 in the second, 23 in the third, and so on. if this seating pattern cont

marusya05 [52]

Answer:

<u>131 seats</u> are in the 30th row.

Step-by-step explanation:

The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.

Now, to find the number of seats in the 30th row.

So, we get the common difference( $d$ ) from the arithmetic sequence first:

$19-15=4.$

Thus, $d=4.$

So, the first tem $a(1)$ = 15.

The number of last row ( $n$ ) = 30.

Now, to get the number of seat in the 30th row we put formula:

$a(n) = a(1) + d(n-1)$

$a(30)=15+4(30-1)$

$a(30)=15+4\times 29$

$a(30)=15+116$

$a(30)=131$

Therefore, 131 seats are in the 30th row.

4 0

4 years ago

3(x + 4) = 27 what is x

Alla [95]

Answer:

x = 5

Step-by-step explanation:

This is a simple equation if you look at it right and don't get scared by the "x."

All we need to do is figure out what times 3 = 27. We can do this easily by diving 27 by 3.

27 ÷ 3 = 9

Since our "equation" is 3(x + 4) = 27 we know whatever is in the parenthesis () has to equal to 9. We already get 4 so:

5 + 4 = 9.

3 times 9 = 27.

5 is your answer.

<u>Hope this helps and have a nice day!</u>

PS if you could mark brainliest that'd be great! I'm very close the "expert" rank. Haha, sorry I usually don't ask.

6 0

3 years ago

Ming reads 1/4 of a book each night. How long will it take her to read 3/4 of the book?

luda_lava [24]

3 nights obvs idk how you couldn't get the answer

7 0

3 years ago

Read 2 more answers

A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), a

sineoko [7]

ANSWER

The scale factor is
$2.5$

EXPLANATION

The given triangle has vertices,

$A(0,0),B(0,4),\:and\:C(6, 0)$ .

The vertices of the image triangle is,

$A'(0,0),B'(0,10),\:and\:C'(15, 0)$ .

The scale factor is given by

$k = \frac{image \: length}{object \: length}$

So we can use any of the corresponding sides to determine the scale factor,

$k = \frac{|A'B'|}{ |AB|}$

$k = \frac{ |10 - 0| }{ |4 - 0|}$

$k = \frac{ |10| }{ |4 |} = \frac{10}{4} = 2.5$

Or

$k = \frac{|A'C'|}{ |AC|}$

$k = \frac{ |15 - 0| }{ |6 - 0|}$

$k = \frac{ |15| }{ |6|} = \frac{15}{6} = 2.5$

Or

$k=\frac{|B'C'|}{|BC|}$

$k = \frac{\sqrt{(15 - 0)^2+(0-10)^2 }}{\sqrt{(6 - 0)^2+(0-4)^2}}$

$k = \frac{ 5\sqrt{13}}{2\sqrt{13}} = \frac{5}{2} = 2.5$

The correct answer is C

3 0

3 years ago

Find three consecutive numbers that add up to 60

lawyer [7]

Answer:

60/3=20

20/21

Step-by-step explanation:

6 0

3 years ago