Five apples and four oranges cost $11.80. One apple and six oranges cost $9.90. how much does one orange cost?

the cost of orange is 170

One orange costs $1.45.

Step-by-step explanation:

Since there are two variables, you have to set up a 2 variable equation.

Let's let a = apples and o = oranges.

So, we can set up this problem as:

5a + 4o = 11.80

1a  + 6o = 9.90

You can solve a 2-variable equation using either elimination or substitution. Here, I think it's easier to use substitution. To do that we have to substitute one variable with an equation that uses only the other so that we only have one variable.

We can manipulate our second equation so that it is:

a = 9.90 - 6o

Then, we can plug this in for a in the first equation. So,

5 (9.90 - 6o) + 4o = 11.80

49.5 -30o +4o = 11.80  (Distribute the 5)

49.5 - 26o = 11.80  (Combine like terms)

-26o = -37.7 (Subtract 49.5 from both sides)

o = 1.45 (Divide by -26)

o = 1.45

So, an orange costs $1.45.

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have