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3 years ago

Which ordered pair is a solution of 3x-5=2y+1

Mathematics

1 answer:

Andrew [12]3 years ago

5 0

Answer:

Solve 3x-2y-5 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-5 = 0 and calculate its properties

Step-by-step explanation:

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A police officer records the speeds of vehicles on a road. What percent of the vehicles were traveling between 41 and 45 miles p

olya-2409 [2.1K]

Answer:

28%

Step-by-step explanation:

Here is the missing table from the question:

Speed (mph) Number of Vehicles

36-40 2

41-45 14

46-50 18

51-55 12

56-60 4

Given: A police officer records the speeds of vehicles on a road.

Now, finding the percent of vehicles traveling between 41 and 45 miles per hour.

First, calculating the total number of vehicles.

Total vehicles= $2+14+18+12+4= 50$

Vehicles travelling at speed of 41-45 mph= 14

Formula; percent of vehicles traveling between 41 and 45 mph= $\frac{vehicles\ travelling\ 41-45\ mph}{Total\ number\ of\ vehicles} \times 100$

⇒ Percent of vehicles traveling between 41-45 mph= $\frac{14}{50} \times 100= 14\times 2$

∴ Percent of vehicles traveling between 41-45 mph is 28%

4 0

3 years ago

A square 20 cm long and a rectangle 24 cm long have the same perimeter. Find the area of the rectangle.

Nitella [24]

20 * 4 = 80 = perimeter of the square 24*2 = 48, the length of two sides of the rectangle. Deducting from 80 we are left with 32 and dividing by 2 we know the rectangle is 24 x 16 Area = L * W, so you can calculate the area of the rectangle.
384

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3 years ago

What is 40.631 times 0.17

Lady bird [3.3K]

It would be 6.90727

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3 years ago

Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person,

mel-nik [20]

Answer: 120 lb of potatoes.

Step-by-step explanation:

Let the pounds of potatoes sold by farmer Bill = X lb

Fractional part sold to the first person = 1/4

Therefore 1/4 of X = 1/4 x X

= X/4 lb of potatoes.

No of potatoes left for sale = X - X/4

= ( 4x - x )/4

= 3x/4 lb.

Fractional part sold to the second person out of the reminder = 4/9

Therefore 4/9 of 3x/4 = 4/9 x 3x/4

= x/3 lb of potatoes.

Amount of potatoes left for sale = 3x/4 - x/3

Resolve into fraction , we have = (9x - 4x)/12, because 12 is the LCM.

= 5x/12

Third buyer bought 4/5 of the left over = 4/5 of 5x/12

= x/3 lb of potatoes.

Amount of potatoes left = 5x/12 - x/3

Resolve in to fraction again taking 12 as the LCM = ( 5x - 4x )/12

= x/12 lb of potatoes .

Therefore, the left over was 10 lb .

To determine the value of x now which correspond to the amount of potatoes sold by Farmer Bill, we shall the equate the left to x/12 = 10

we now cross multiply to get the value of x x = 120 lb.

therefore the pound of potatoes sold by farmer Bill = 120 lb.

4 0

3 years ago

Lacey went to the fair. She paid $5 for the entrance fee. Each ride ticket cost $0.25. Lacey spent $12.50 at the fair. Which equ

Orlov [11]

Answer:

I would divide

Step-by-step explanation:

7 0

3 years ago

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