Martin is buying inkjet cartridges that cost $22 each. He has $100 to pay for the cartridges.

Which number line shows the number of cartridges Martin can buy?

Answer:

In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.

From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.

The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.

Number crunching done, the maximum is at (4,2)

Answer:

They don't have enough money

Step-by-step explanation:

Colored Glass =

$5/ 1 square = 60 / 12 square

Clear Glass =

2/1 = 24 / 12

Materials =

1/ 1= 1.2 / 12

Frame=

$4 / 1 ft = 28 / 12

TOTALS

60+24+1.2+28 = 113.2

Answer:

67.5 or 67 1/2

Step-by-step explanation:

15   ÷              2

         ___________            

                   9

The numbers in 15 divided by 2/9 are labeled below:

15 = whole number

2 = numerator

9 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

15 x 9 2  =     135

                       ____

                          2

Thus, the answer to 15 divided by 2/9 in fraction form is:

 135

_____

   2

To make the answer to 15 divided by 2/9 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

135 / 2 = 67.5

The answer is rounded to the nearest two decimal points if necessary.

135/2 is an improper fraction and should be written as 67.5 or 67 1/2.

Hope this helps, have a nice day/night! :D

Answer:

67.5

Step-by-step explanation:

15 = 135/9

135/9 x 9/2 = 15 x 4.5 = 67.5

            9/2 = 4.5

Brainliest?

Interesting question. Does that mean near the end of humanity?

Solution 1:

10^10 = 1,000,000,000

10^12 = 100,000,000,000

100,000,000,000/1,000,000,000 = 100 trees per person

Solution 2:

10^12 / 10^10  ---  10^10 / 10^10

10^2/1 = 10^2 = 100 trees per person

The length of the vegetable garden is 11.7 ft.

The dimension of the garden are 3 section long and 2 section wide.

let

each section length = x

Therefore,

length of garden = 3x

width of garden = 2x

Area of the vegetable garden = 91.26 ft²

3x(2x) = 91.26 ft²

6x² = 91.26

x² = 91.26 / 6

x² = 15.21

x = √15.21

x = 3.9

length of the vegetable garden = 3(3.9) = 11.7 ft

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Answer:

116

Step-by-step explanation:

this is the correct answer

Answer:

20.4

Step-by-step explanation:

If you are using D = r × t

                         10.2 = 0.5(t)

                          10.2/0.5 = t

                           20.4 = t

Answer:

20.4

Step-by-step explanation:

Answer: the daughters got 216 stickers each

Step-by-step explanation:

27 times 24 is 648

648 devided by 3 is 216

so therefore your answer would be 216

hope this helps

Answer:

1/27

Step-by-step explanation: I took the quiz and the right answer is 1/27

The value of the given expression would be 0.25 which is simplified by using the PEMDAS rule in the expression.

The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.

The given expression would be below as:

⇒ [(1 1/4−3/4)⋅(−2/3)3]÷(−4)

Using the PEMDAS rule in the above expression,

⇒ [(5/4−3/4)⋅(−2/3)3]÷(−4)

Apply the subtraction operation,

⇒ [(2/4)⋅(−6/3)]÷(−4)

Reduce the fractions, and we get

⇒ [(1/2)⋅(−2)]÷(−4)

Cancel out the terms of 2 to each other

⇒ (−1)÷(−4)

Cancel out the negative sign to each other

⇒ 1 / 4

Apply the division operation to get

⇒ 0.25

Therefore, the value of the given expression would be 0.25 which is evaluated.

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A relation may or may not represent a function.

The costs are given as:

(a) The mapping diagram

To do this, we simply point the number of movies, to the corresponding costs, using arrows

See attachment for the mapping diagram.

(b) Is the relation a function

From the attached mapping, we can see that:

The costs of each movie are different.

This means that: the relation is a function.

(c) Describe the pattern

Notice that as the number of movies increases, the cost also increases;

However, the unit cost decreases.

Hence, the unit cost of each movie decreases as the number of movies increases.

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The two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16

Let the two variables be x and y

If the product of the numbers is 300, hence

xy = 300

x = 300/y ........ 1

If the sum of the first and four times the second is a minimum, then;

P(x, y) = x + 4y .................. 2

Substitute equation 1 into equation 2:

P(x, y) = x + 4y

P(y) = 300/y + 4y

If this function is at mimimum, hence dP/dy = 0

dP/dy = -300/y² + 4 = 0

-300/y² + 4 = 0

-300 + 4y² = 0

4y² = 300

y² = 300/4

y²=   75

y = 7.66

Since xy = 300

x = 300/7.66

x = 39.16

Hence the two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16

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Answer: D is my best guess

Step-by-step explanation:

Answer:

Step-by-step explanation:

find the area of ​​the green rectangle and remove the area of ​​the yellow rectangle

(12 - 2) * (16 - 2) - (6 * 2.5) =

10 * 14 - 15 =

140 - 15 = 125m²

Answer:

You cannot factor this.

Step-by-step explanation:

Nothing can multiply, to equal 2 and add up to 5.

Answer:

16/21

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Answer:

f(4) = 1.4

Step-by-step explanation:

f(x) = (3x/2) - (14/3)

We are given that x = 4

f(4) = (3(4)/2) - (14/3)

f(4) = (12/2) - (14/3)

f(4) = 6 - (14/3)

14/3 as a decimal is 4.6

f(4) = 6 - 4.6

f(4) = 1.4 (approximately)

Answer:

6 and a half 2 thirds are in 4 1/3

Step-by-step explanation:

2/3x=13/3

2x=13

x=6.5

Answer:

1:5

Step-by-step explanation:

put no. of triangles over no. circles because it asks triangles to circles

2/10

1/5........simplify

Answer:

126

Step-by-step explanation: I am pretty sure this is right so my explanation for this answer is, I subtracted 28 by 21 to see how many games were left, I got 7. So then I multiplyed 18 by 7 to see the  total of each to have the final answer.

(sorry if wrong)

102 hundredths

102/100

[tex]y = 2x -2 ~~~~.....(i) \\\\y = x^2 -4 x +3 ~~~~ .....(ii) \\\\\\x^2-4x +3 = 2x -2\\\\\implies x^2 -4x -2x +3 +2 =0\\\\\implies x^2 -6x +5 =0\\\\\implies x^2 -5x -x +5 =0\\\\\implies x(x-5) -(x-5) =0\\\\\implies(x-5)(x-1) =0\\\\\implies x = 5 ~~ \text{or}~~ x = 1 \\\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 2 -2 =0\\\\ \text{Substitute x = 5 in equation (i):}\\\\\\y = 2(5) -2 = 10 -2 =8 \\\\\text{Hence,}~~ (x,y) = (1,0) ~ \text{and} ~ (x,y) = (5,8)[/tex]

Answer:

4n - 3

Step-by-step explanation:

[tex]n+3(n-1)\\n+3n-3\\4n-3[/tex]

Answer:

a f

Step-by-step explanation:

(−5, 2) is point lie on a line that passes through the origin with a slope of −2/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the points lie on a line that passes through the origin with a slope of −2/5

The line passes through (0, 0) and (x, y) form a slope of -2/5

-2/5=y/x

So y is 2 and x is 5.

Hence, (−5, 2) is points lie on a line that passes through the origin with a slope of −2/5

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Answer:

Step-by-step explanation:

Given system:

Divide both sides of the second equation:

We got both equations same.

It means the lines representing the equations overlap, the system has infinitely many solutions.

Answer:

3. is your correct answer ok

9514 1404 393

Answer:

  12 6/7

Step-by-step explanation:

The product of two negative numbers is positive, so we can ignore the signs.

  (3 6/7)(3 1/3) = (3)(3) +(3)(1/3) +(6/7)(3) +(6/7)(1/3)

  = 9 + 1 + 18/7 + 2/7

  = 10 + 2 4/7 + 2/7

  = 12 6/7

We want to find the two numbers you picked, we will find that the two numbers you picked are 3 and 7.

First, you pick a number between 0 and 10, let's say that the number is N.

Then multiply it by 5 and add 7, so we get:

(5*N + 7)

Now we multiply this by 2

2*(5*N + 7)

Now we add another number between 0 and 10, let's call it M.

We need to add that to the product, and then subtract 6, and that will be equal to 45.

2*(5*N + 7) + M - 6 = 45

Now let's simplify the expression:

2*(5*N + 7) + M = 45 + 6 = 51

10*N + 14 + M = 51

10*N + M = 51 - 14 = 37

10*N + M = 37

With this, we want to find the values of N and M, but remember that these two values belong to the interval [0, 10]

So the only two solutions are:

N = 3 and M = 7

such that:

10*3 + 7 = 30 + 7 = 37

So the two numbers you picked are 3 and 7.

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