A candy shop puts together two prepackaged assortments to be given to​ trick-or-treaters on Halloween. The feasible set for producing x packages of assortment A and y packages of assortment B has been graphed to the right. For the earnings function Earningsx​y, where Earnings is in​ cents, how many of each assortment should be prepared in order to maximize​ profits? What is the maximum​ profit? 0 600 0 600 x y A coordinate system has a horizontal x-axis labeled from 0 to 600 in increments of 120 and a vertical y-axis labeled from 0 to 600 in increments of 120. A four-sided polygon labeled as the feasible set is formed by a series of line segments and their intersection with the x-axis and y-axis. The line segments are labeled as follows: y equals negative 2 x plus 600; y equals negative x plus 350. The shop should prepare nothing packages of assortment A and nothing packages of assortment B to maximize profit. ​(Type whole​ numbers.) The maximum profit is ​$ nothing. ​(Round to the nearest cent as​ needed.)

Answer:

[tex]\boxed {\boxed {\sf 3 \ pounds \ of \$4 \ candy}}[/tex]

[tex]\boxed {\boxed {\sf 2.5 \ pounds \ of \$3.50 \ candy}}[/tex]

Step-by-step explanation:

Let's create a system of equation. First, define the variables. One type of candy is x and the other is y.

Now, create 2 equations, one for the weight and one for the price.

[tex]x+y=5.5[/tex]

[tex]4x+3.5y=20.75[/tex]

The first equation represents the mixture of both types of candy that weighs 5.5 pounds. The second represents the prices of the candy and the mixture.

Next. solve for the variables using substitution. Isolate a variable in the first equation. Let's isolate y by subtracting x.

[tex]x-x+y=5.5-x\\y= 5.5-x[/tex]

Now, we know what y is equal to, so we can substitute it into the second equation.

[tex]4x+ 3.5 (5.5-x)= 20.75[/tex]

Distribute the 3.5. Multiply each term by 3.5

[tex]4x+(3.5*5.5)+(3.5*-x)[/tex]

[tex]4x+19.25-3.5x= 20.75[/tex]

Combine like terms on the right side.

[tex]0.5x+19.25=20.75[/tex]

Subtract 19.25 from both sides of the equation to isolate the variable.

[tex]0.5x+19.25-19.25=20.75-19.25[/tex]

[tex]0.5x= 1.5[/tex]

Divide both sides by 0.5.

[tex]\frac {0.5x}{0.5}= \frac{1.5}{0.5}\\x=3[/tex]

Now we can substitute x back into the first equation and solve for y.

[tex]x+y=5.5\\3+y=5.5[/tex]

Subtract 3 from both sides to isolate the variable.

[tex]3-3+y=5.5-3\\y=2.5[/tex]

There was 3 pounds of the $4 candy and 2.5 pounds of the $3.50 candy.

Answer:

The equation is 12.5n where n stands for any hour that Phil is riding his bike. I'm using the nth term here though.

Step-by-step explanation:

Answer:

f(x) = 12.5x

Step-by-step explanation:

50 / 4 = 12.5

25 / 2 = 12.5

so...

for 1 hour, there is 12.5 miles traveled

so...

f(x) - 12.5x

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer: Domain is all real numbers. And the range is [ − 4 , ∞ ) ,

{ y | y ≥ − 4 }

Step-by-step explanation:

Answer:

Domain: R   Range: y≥-4

Step-by-step explanation:

Answer:

6 4/5

Step-by-step explanation:

He has 1 1/5 lb. He needs 8 lb.

He needs the difference between 8 lb and 1 1/5 lb, so this is a subtraction problem. We must subtract 8 lb - 1 1/5 lb.

8 - 1 1/5 =

We cna subtract the 1 from the 8, but we need a fraction with fifths at the 8 in order to subtract 1/5 from it. We borrow 1 from 8 leaving 7, and we write the 1 as the fraction 5/5. Now we have

= 7 5/5 - 1 1/5

We subtract 1 from 7 leaving 6, and we subtract 1/5 from 5/5 leaving 4/5.

= 6 4/5

Answer: 6 4/5

Answer: B

Step-by-step explanation: 20% is correct

Answer:

There would be a 44.4% chance of drawing all blue marbles

Step-by-step explanation:

7+3+8=(total marbles) (8=the amount that are blue in the total 8/18=44.4%

The correct way of determining the distance between −56 and 44 is distance = |−56 − 44|

Distance is referring to the numerical measurement of how far an object is from a particular place.

Given that, what is correct way to determine the distance between -56 and 44,

So, the distance will be = |-56-44|

= |-100|

= 100

Hence the correct way of determining the distance between −56 and 44 is distance = |−56 − 44|

Learn more about distance, click;

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Answer:

hmmmm im thinking

Step-by-step explanation:

Answer:

Infinite solutions.

Step-by-step explanation:

The given equations are :

-5x + y = -2 .....(1)

20x-4y = 8 .....(2)

We have,

a₁ = -5, a₂ = 20, b₁ = 1, b₂ = -4, c₁ = -2 and c₂ = 8

[tex]\dfrac{a_1}{a_2}=\dfrac{-5}{20}=\dfrac{-1}{4}\\\\\dfrac{b_1}{b_2}=\dfrac{1}{-4}=\dfrac{-1}{4}\\\\\dfrac{c_1}{c_2}=\dfrac{-2}{8}=\dfrac{-1}{4}[/tex]

It means,

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

So, the system of equations has infinite solutions.

Answer:

try A if wrong try D

Step-by-step explanation:

this shold work

The required number of different distances possible is given as 36.

Given that,
In a board game, the distance a player travels is equal to the sum of the numbers shown when two 6-sided dice are tossed.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
1 dice have 6 outcomes
2 dice have 6 outcomes,
Number of possible combination = 6 × 6 = 36

Thus, the required number of different distances possible is given as 36.

Learn more about permutations and combinations here:

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Answer:

x = 25

Step-by-step explanation:

Sun of the exterior angles of a quadrilateral = 360°

Therefore:

x + 40 + 6x + 2x + 20 + 3x = 360

Add like terms

x + 6x + 2x + 3x + 40 + 20 = 360

12x + 60 = 360

12x = 360 - 60

12x = 300

x = 300/12

x = 25

Answer:

fasdfjahlskfhkajshf

Step-by-step explanation:

jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh

∑⊥⇆Ф↑↓∩¬║⊅α∨∧

(testing answer, sorry for that)

i wont give the answer but i will tell you how to solve

Opening Exercise

The original triangle, labeled A, has been reflected across the first line, resulting in the image labeled B. Reflect the image across the second line. Carlos looked at the image of the reflection across the second line and said, “That’s not the image of triangle A after two reflections; that’s the image of triangle A after a rotation!” Do you agree? Why or why not?

Discussion

When you reflect a figure across a line, the original figure and its image share a line of symmetry, which we have called the line of reflection. When you reflect a figure across a line and then reflect the image across a line that intersects the first line, your final image is a rotation of the original figure. The center of rotation is the point at which the two lines of reflection intersect. The angle of rotation is determined by connecting the center of rotation to a pair of corresponding vertices on the original figure and the final image. The figure above is a 210° rotation (or 150° clockwise rotation).

Exploratory Challenge

Line of symmetry of a figure: This is an isosceles triangle. By definition, an isosceles triangle has at least two congruent sides. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. This line of symmetry can be thought of as a reflection across itself that takes the isosceles triangle to itself. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of the line of symmetry, given by reflecting the point across the line. In particular, the line of symmetry is equidistant from all corresponding pairs of points. Another way of thinking about line symmetry is that a figure has line symmetry if there exists a line (or lines) such that the image of the figure when reflected over the line is itself.

Does every figure have a line of symmetry?

Answer:

123/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

62 / 25 = 2.48

5 / 4 = 1.25

2.48 - 1.25 = 1.23

the discount cost is $20 the price of the jacket costs now $80

Step-by-step explanation:

to get discount all you have to do is original price X the discount percentage then you will get the savings then subtract the savings from the original price

Answer:

1.6

Step-by-step explanation:

To find 20% of 8, multiply 8 by 0.2

8(0.2)

= 1.6

So, 20% of 8 is 1.6

Answer:

y=-1/2x+1

Step-by-step explanation:

Answer:

The answer would be 100^32

Answer:

the third one is the correct answer

Answer:

you selected the right answer already

Step-by-step explanation:

every hour he makes 25 dollars. so 2=50 and 3=75 :)

Answer:

the answer is :

25-30=-10

Answer:

-0.4

Step-by-step explanation:

:)

Answer:

39°

Step-by-step explanation:

180-90-51=39

Answer:

its 39

Step-by-step explanation:

you know that a right triangle already has the angle 90 so 51 plus 90 equals 141

180-141=39

Answer:

0.35714285714

You can search for any mathematical expression, using functions such as: sin, cos, sqrt, etc. You can find a complete list of functions here.

(

)

%

AC

7

8

9

÷

4

5

6

×

1

2

3

−

0

.

=

+

Rad

Deg

x!

Inv

sin

ln

π

cos

log

e

tan

√

Ans

EXP

xy

=

123

Fx

0.35714285714

You can search for any mathematical expression, using functions such as: sin, cos, sqrt, etc. You can find a complete list of functions here.

(

)

%

AC

7

8

9

÷

4

5

6

×

1

2

3

−

0

.

=

+

Rad

Deg

x!

Inv

sin

ln

π

cos

log

e

tan

√

Ans

EXP

xy

=

123

Fx

Answer:

17/56

7/8 - 4/7 = 17/56

Answer:

17/56

Step-by-step explanation:

Multiply 7 by 7 and get 49

Then Multiply 4 by 8 and get 32

Then we Multiply the Denominators 8×7= 56

that's how u get /56

now u look at the numerators 49/56 32/56

49-32= 17

thats how u Get 17/56