Formulate the situation as a system of two linear equations in two variables. be sure to state clearly the meaning of your x- and y-variables. solve the system by the elimination method. be sure to state your final answer in terms of the original question.
a lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $4,000 or $8,000. if the partnership raised $348,000, then how many investors contributed $4,000 and how many contributed $8,000?
x = $4,000 investors
y =
$8,000 investors
solve the system by row-reducing the corresponding augmented matrix. (enter your answers as a comma-separated list. if the system is inconsistent, enter inconsistent. if the system is dependent, enter dependent.)
leftbrace2.gif
2x + y = 17
x + y = 13
the situation as a system of two linear equations in two variables. be sure to state clearly the meaning of your x- and y-variables. solve the system by the elimination method. be sure to state your final answer in terms of the original question.
a jar contains 80 nickels and dimes worth $6.80. how many of each kind of coin are in the jar?
x = nickels
y = dimes

1) There were 33 $4,000 investors and 27 $8,000 investors.

2) The solution in x = 4, y = 9.

3) There were 24 nickels and 56 dimes.

Step-by-step explanation:

1) A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $4,000 or $8,000. If the partnership raised $348,000, then how many investors contributed $4,000 and how many contributed $8,000?

I am going to say that:

x is the number of investors that contributed 4,000.

y is the number of investors that contributed 8,000.

Building the system:

There are 60 investors. So:

In all, the partnership raised $348,000. So:

I am going to simplify by 4000. So:

Solving the system:

The elimination method is a method in which we can transform the system such that one variable can be canceled by addition. So:

I am going to multiply 1) by -1. So we have

By addition, the x are going to cancel each other

For x:

There were 33 $4,000 investors and 27 $8,000 investors.

2) Solve the system by row-reducing the corresponding augmented matrix.

This system has the following augmented matrix:

To help the row reducing, i am going to swap the first with the second line:

So we have:

Now, reducing the first column.

So we have:

Now we do:

And the matrix is:

Now to reduce the second column, we do:

.

So the solution is:

x = 4, y = 9.

3) A jar contains 80 nickels and dimes worth $6.80. How many of each kind of coin are in the jar?

I am going to say that x is the number of nickels and y is the number of dimes.

Each nickel is worth 5 cents and each dime is worth 10 cents.

Building the system:

There are 80 coins in all:

They are worth $6.80. So:

Solving the system:

I am going to divide 1) by -10, so we can cancel y. So:

Adding:

*(-100)

Also

There were 24 nickels and 56 dimes.

0.5 meters per second

step-by-step explanation:

the average speed between 2 seconds and 8 seconds is 0.5 meters per second.

hope this ! mark brainliest!

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.