All categories

4 years ago

How do you do #9?? I know what the answer is but idk how to get to it

Mathematics

1 answer:

Fittoniya [83]4 years ago

5 0

All you have to do is take 45$ and divide it by 1/3 then when you get that answer divide it by 1/4 to get your answer. So I believe your answer will be less than a dollar.

You might be interested in

In segment AC, the midpoint is B. If segments AC = 5x-9 and AB = 2x, what is the measure of segment AC.

IgorLugansk [536]

Answer:

The measure of segment AC is 36 units

Step-by-step explanation:

- The mid-point divides the segment into two equal parts in length

- B is the mid point of segment AC

- That means B divides segment AC into two equal parts in length

∴ AB = BC

∵ AC = 5x - 9

∵ AB = 2x

- The two parts AB and BC are equal in length

∴ BC = 2x

∵ AC = AB + BC

- Substitute the values of AB and BC in the expression of AC

∴ AC = 2x + 2x

∴ AC = 4x

∵ AC = 5x - 9

- Equate the two values of AC

∴ 5x - 9 = 4x

- Add 9 to both sides

∴ 5x = 4x + 9

- Subtract 4x from both sides

∴ x = 9

- Substitute the value of x in any expression of AC

∵ AC = 4x

∵ x = 9

∴ AC = 4(9) = 36

* The measure of segment AC is 36 units

8 0

3 years ago

Triangle ABC

Virty [35]

Answer:

15 cm

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{BC}{EF} =\frac{AC}{DF}$ .

$\frac{18}{x}=\frac{12}{10}$

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$\frac{18}{x}=\frac{12}{10}\\ 18*10 = x*12 \\ 180 = 12x \\ 15 = x$

5 0

3 years ago

Karen is buying pens and pencils for the new school year. She wants to have no more than 25 writing utensils in all. She also wa

bezimeni [28]

For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:
$x + y \leq 25

y \geq (x - 3) ^ 2
$
The solution to the system of inequations is given by the shaded region.
Note: see attached image.