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dimulka [17.4K]
2 years ago
9

2 Graph y = 2/3x - 4

Mathematics
1 answer:
AysviL [449]2 years ago
3 0

ANSWER:

(IMAGE ATTACHED)

EXPLANATION:

This equation is called a slope intercept form. The formula is y=mx+b.

"b" or -4 in this case is the y-intercept. It's where the line meets the y line (vertical line). The "m" or 2/3 is the slope. All slopes are written in y/x.

So, starting from (0, -4), you will go up 2 and go right 3. You will end up at (3, -2). Now, just draw a line through (0, -4) and (3, -2).

Your graph should show up like this:

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To make a certain shade of orange calvin uses a rate of 2 ounces of yellow paint to 5 ounces of red paint if he uses 200 ounces
ycow [4]
Answer: 80 ounces of yellow paint

Working:
As we know 2 ounces of yellow paint to 5 ounces of red paint, we can make a ratio:

2:5

Then we look at the question which says 200 ounces of red paint, so we replace the 5 ounces of red paint in the ratio with 200.

2:200

Then we figure out how much the 5 has been multiplied by to get to 200. We do this by doing

200 divide 5 = 40

Therefore we times the 2 ounces of yellow paint by 40 which gets us:

80:200

We can think of it as a fraction too to confirm our answer:

Simplify 80 / 200

We get 2 / 5.

If you need me to further explain something please just ask :)
4 0
2 years ago
A flower shop acquired 80 new customers last year. Costs in the marketing and sales areas were the following:
icang [17]

Using proportions, it is found that the Customer Acquisition Cost was of $1,215.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

In this problem, the customer acquisition cost is the spending in sales divided by the number of customers added.

80 customers were added, considering costs of 1200 + 9000 + 87000 = $97,200, hence:

97200/80 = $1,215.

More can be learned about proportions at brainly.com/question/24372153

5 0
1 year ago
What is the approximate area of a circle with a diameter of 28 centimeters? Use π = 3.14.
larisa [96]
Formula is π * r^2

π = about 3.14 and the radius is half of the diameter so 28/2 = 14

3.14 * 14^2 = 615.44

B

8 0
3 years ago
Read 2 more answers
I need to find sec(theta)= 2(sqrt3)/3
Sloan [31]

Answer: 30° and 330°

<u>Step-by-step explanation:</u>

sec θ = \frac{2\sqrt{3}}{3}

sec θ = \frac{1}{cos(\theta)}

\frac{1}{cos(\theta)} = \frac{2\sqrt{3}}{3}

cos θ = \frac{3}{2\sqrt{3}}

cos θ = \frac{3}{2\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}})

cos θ = \frac{3\sqrt{3}}{3*2}

cos θ = \frac{\sqrt{3}}{2}

Look at the Unit Circle to see that cos = \frac{\sqrt{3}}{2} at 30° and 330°  ( which is equivalent to π/6 and 11π/6)


4 0
2 years ago
Read 2 more answers
5 In a scale drawing of an airplane, 1 inch equals 3 meters. The length of the actual plane is 17 meters. What is the length of
Whitepunk [10]

Answer: 5 2/3 inches

Step-by-step explanation:

From the question, we are informed that the scale drawing of an airplane is:

1 inch = 3 meters.

Since the length of the actual plane is 17 meters, the length of the plane in the scale drawing will then be:

= 17/3

= 5 2/3 inches

4 0
3 years ago
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