The model below represents an equation.

Select all ratios equivalent to 22:10. 11:5 110:50 33:15

saveliy_v [14]

Answer:

All the 3 choices are correct.

Step-by-step explanation:

11:5 11 divided by 22 is 1/2 and 5/10 is 1/2

110/50 110 divided by 22 is 5 and 50 divided by 10 is 5

33/15 33 divided by 22 is 1 1/2 and 15 divided by 10 is 1 1/2

5 0

3 years ago

Read 2 more answers

Help me with this problem please right away

svlad2 [7]

Answer:

$6\frac{1}{2} = A$

Step-by-step explanation:

The first step is to use the Distance Formula to figure out the lengths of the two legs:

$\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D$

R(1, 1) and P(−1, −2) ↷

$\sqrt{[1 + 1]^{2} + [2 + 1]^{2}} = \sqrt{2^{2} + 3^{2}} = \sqrt{4 + 9} = \sqrt{13}\\ \\ \sqrt{13} = RP$

Q(2, −4) and P(−1, −2) ↷

$\sqrt{[1 + 2]^{2} + [2 - 4]^{2}} = \sqrt{[-2]^{2} + 3^{2}} = \sqrt{4 + 9} = \sqrt{13} \\ \\ \sqrt{13} = QP$

* So, by my calculations, we have an isosceles right triangle, and according to the 45°-45°-90° triangle theorem, we automatically know that the hypotenuse, RQ, is $\sqrt{26}$ :

30°-60°-90° triangle theorem

2x, x, x√3

↑ ↑ ↑

h leg leg

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45°-45°-90° triangle theorem

x√2, x, x

↑ ↑ ↑

h legs

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So now, we have to find the area of the triangle by taking half of either height or base, then multiplying that by the height or base, but since this is an isosceles right triangle, it does not matter:

$[\frac{h}{2}][b] = A \: \:OR\: \: [\frac{b}{2}][h] = A \: \:OR \: \: \frac{hb}{2} = A$

$[\frac{\sqrt{13}}{2}][\sqrt{13}] = \frac{13}{2} = 6\frac{1}{2} \\ \\ 6\frac{1}{2} = A$

I am joyous to assist you anytime.

8 0

3 years ago

The original selling price of a shirt was $45.

marissa [1.9K]

Given:

The original selling price of a shirt was $45.

In a sale, the shirt is reduced to $32.50.

To find:

The percentage reduction.

Solution:

We know that,

$\text{Percentage reduction}=\dfrac{\text{Original value - Reduced value}}{\text{Original value}}\times 100$

$\text{Percentage reduction}=\dfrac{45-32.50}{45}\times 100$

$\text{Percentage reduction}=\dfrac{12.50}{45}\times 100$

On further simplification, we get

$\text{Percentage reduction}=\dfrac{1250}{45}$

$\text{Percentage reduction}=27.777778$

$\text{Percentage reduction}\approx 27.78$

Therefore, the percentage reduction is 27.78%.

4 0

3 years ago

Convert a distance of 42 feet into yards.

dybincka [34]

Answer:

14 Yards

Step-by-step explanation:

8 0

3 years ago

The initial cost of an office fax machine is $100. After 1 year, its value becomes $80. Which is the correct linear depreciation

Elis [28]

Answer:

$y=100-20x$

Step-by-step explanation:

Let the x-axis be the time (in years) and the y-axis the value of the fax machine (in dollars).

We know that the initial value of the fax machine is $100; in other words, when the time is zero years, the value is $100, or as an ordered pair (0, 100). We also know that after 1 year the value decreases to $80, so (1, 80).

Now we can find the slope of the line passing through those two points using the slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$