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3 years ago

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Mathematics

1 answer:

jasenka [17]3 years ago

5 0

C ) you divide 1800 by 4 then multiply by 5 then multiply by 6

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For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

$3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)$

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

$x_{2}=3x_{1} -2$

substitute in equation (2), we get

$9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k$

we cannot find the value of $x_{1}$ and $x_{2}$ .

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

$3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6$

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0

3 years ago

The school that Mary goes to is selling tickets to a spring musical. On the first day of ticket sales

andrezito [222]

Answer:

The cost of one adult ticket is $13, and the price of one student ticket is $4.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the cost of an adult ticket

y is the cost of a student ticket.

6 adult tickets and 1 student ticket for a total of $82

This means that

$6x + y = 82$

$y = 82 - 6x$

The school took in $51 on the second day by selling 3 adult tickets and 3 student tickets.

This means that

$3x + 3y = 51$

Simplifying by 3

$x + y = 17$

Since $y = 82 - 6x$

$x + 82 - 6x = 17$

$-5x = -65$

$5x = 65$

$x = \frac{65}{5} = 13$

$y = 82 - 6x = 82 - 6*13 = 82-78 = 4$

The cost of one adult ticket is $13, and the price of one student ticket is $4.

4 0

3 years ago

How much material was required for each dresses of the same size if it took 5 1/2 yards for both ?

ki77a [65]

Answer:

2.75 yards

Step-by-step explanation:

If it took both (meaning 2) dresses a certain amount, half of that amount is one dress. So, we need to divide 5 1/2 by 2

*1/2 of 1 = 0.5

0.5 + 5 = 5.5

5.5 / 2 = 2.75

(2.75 also equals 2 3/4)

7 0

2 years ago

How many solution does -6(x+7) =-4x-2 have

vitfil [10]

Answer:

Only one solution and its x = −20

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which step is incorrect and why

Svetach [21]

Answer:

10x-6 = 4(1+2x) + 6

10x-6 = 4 + 8x + 6

10x - 8x = 4+6+6

2x = 16

x = 8

hope it will help you

5 0

3 years ago