The following points are rotated about the origin through 90° in clockwise direction. Find the new coordinates,

Preston's vegetable patch is 7 yards wide and 17 yards long. Preston wants to build a fence around the vegetable patch. The fenc

bezimeni [28]

Answer: 238$

Step-by-step explanation: 7 x 17 = 119 mutiply this x 2.00 = 238

6 0

1 year ago

Find the distance between the points (11, 4) and (10, 5).

alexdok [17]

Answer:

square root of 2 or if needed simplified, 1.414213 to the nearest millionth.

Step-by-step explanation:

Start with the equation d= square root of (11-10)^2+(4-5)^2 where that is simplified to square root of (1)^2+(-1)^2 to square root of 1+1 to your final answer, square root of 2. Also simplified to 1.414213.

6 0

2 years ago

What is the x of 2/3x squared minus 6x plus 15

iogann1982 [59]

(2/3)x^2 -6x + 15 = 0
Using the quadratic formula:
x = [-b +-sq root(b^2 - 4 *a*c)] / 2a
x= [--6 +-sq root(36 -4*(2/3)*15] / 2*(2/3)
x= [6 +-sq root 36 -40] / (4/3)

x1 = 4.5 + (2i / (4/3))
x1 = 4.5 + 1.5i
x2 = 4.5 - (2i / (4/3))
x2 = 4.5 - 1.5i

4 0

3 years ago

What is the largest number of pancakes that Benjamin can afford

aleksklad [387]

Answer:

See explanation

Step-by-step explanation:

Here is the complete question:

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50 . Let S represent the number of stacks of pancakes that Benjamin buys. What is the largest number of pancakes that Benjamin can afford?

Given:

Cost of chocolate milk = $3.25

Maximum bill that Benjamin wants before tax = $30

Cost of stack of 4 pancakes = $5.50

Let S be the number of stacks of pancakes that Benjamin buys

Solution:

Cost per stack of pancakes = $5.50

Cost of S number of stacks of pancakes = S*5.50 = 5.50 S

So benjamin will spend money on 1 chocolate milk and S number of stacks of pancakes

Compute the total money spent by Benjamin:

Cost of chocolate milk + cost per stack of pancakes = 3.25 + 5.50 S

Maximum bill that Benjamin wants is $30 So,

The total money should be less than equal to the maximum bill that benjamin wants i.e. less than or equal to 30. So it is represented as:

3.25 + 5.50S ≤ 30 ----- (1)

Now using (1) we can find the largest number of pancakes that Benjamin can afford :

3.25 + 5.50S ≤ 30

5.50S ≤ 30 - 3.25

subtract 3.25 from 30

5.50S ≤ 26.75

Divide by 5.50

S ≤ 4.863636

S ≤ 4.86

S≤ 4 approx

Since the restaurant only sells pancakes in stacks of 4 pancakes so,

4 stacks = 4 *4 = 16

So the largest number of pancakes that Benjamin can afford are 16.

If we do not round off the the value stacks then we get:

4.86 stacks = 4.86 *4 = 19.44 pancakes

So the largest number of pancakes that Benjamin can afford are 19

3 0

2 years ago

X = 2y-2<br> 4x-9 = 11<br><br> Step by step please

Alex787 [66]

Answer x=5, y= 3.5

Find y by plugging the x value into the 2nd equation
4(2y-2) -9=11
8y - 8 - 9 =11 combine like terms
8y = 28 divide both sides by 8
y = 3.5

Now find x
Plug your y value into first equation
X = 2(3.5) -2
X= 7-2
X=5

You can check your work by putting your x or y values into the equations

For the first equation
5=2(3.5) -2
5=5

For the second equation
4(5) -9 = 11
20 - 9 = 11
11 =11

4 0

1 year ago