An ice cream store has two new flavors: Fantasy and Ecstasy. Each barrel of Fantasy requires 4
pounds of nuts, 3 pounds of chocolate, and brings in a profit of $50. Each barrel of Ecstasy

Answers

Answer 1

Answer:

Fantasy: 3 barrelsEcstasy: 1 barrel

Step-by-step explanation:

Given

  Fantasy uses 4 lb of nuts, 3 lb of chocolate, for a profit of $50

  Ecstasy uses 4 lb of nuts, 1 lb of chocolate, for a profit of $40

  In stock are 16 lb of nuts, 10 lb of chocolate

Find

 amount of each to maximize profit

Solution

Let x and y represent barrels of Fantasy and Ecstasy, respectively. Then the limitations on production are ...

  4x +4y ≤ 16 . . . lb of nuts

  3x +y ≤ 10 . . . . lb of chocolate

We want to maximize

  50x +40y

The graph shows the feasible region. Its vertices are ...

  (0, 4), (3, 1), (3.33, 0)

Profit is maximized at $190 when production is 3 barrels of Fantasy and 1 barrel of Ecstasy.

An Ice Cream Store Has Two New Flavors: Fantasy And Ecstasy. Each Barrel Of Fantasy Requires 4pounds
An Ice Cream Store Has Two New Flavors: Fantasy And Ecstasy. Each Barrel Of Fantasy Requires 4pounds

Related Questions

Write the coordinates of the image of Q(-3,-6) reflected in the line y=x

HELP PLEASE I RLY NEED HELP URGENT

Answers

Answer: (-6, -3)

Step-by-step explanation:

We have the point (-3, -6)

And we want to do a reflection over the line y = x.

When we do a reflection of the point (x, y) over the line y = x. the reflected point will be (y, x)

So if our original point is (-3, -6) then the reflected point is (-6, -3)

please help me!!!! (i only need question 1)

Answers

Answer:

28

Step-by-step explanation:

So I just figured out by counting. The top has 8, which means the bottom also has 8. The sides are 3, 2, 1, 1, 2, 3

The total is 8 + 8 + 3 + 2 + 1 + 1 + 2 + 3 =  28

8 square units , For surface units wouldn’t you just count all the boxes on the top

write the formula of loss where cost price(CP) and
selling price(SP) are given​

Answers

Answer:

CP - SP = LOSS when CP is more than SP

What answer is equivalent to -4(b + 2) - 36?

Answers

Answer:

− 4 b − 44

Step-by-step explanation:

Answer:

-4(b + 11)

Step-by-step explanation:

-4(b + 2) - 36    (multiply -4 into parentheses via distributive property)

= b(-4) + 2(-4) - 36

= -4b -8 - 36

= -4b - 44    (this could be an answer, but we can still simplify further by factoring out -4)

= -4(b + 11)

Can someone help me with this homework?

Answers

Answer: (-4, -1)

Step-by-step explanation:

Starting at point (-4, -2) and translating 3 units up means we add 3 to -2.

So the new point is now (-4, 1).

Now we reflect over the x-axis which means the y-value of 1 becomes negative.

So the final point is (-4, -1)

Answer:

(-4,-1)

Step-by-step explanation:

when you translate it by 3 units up, it becomes (-4,-1). and when you reflect over the x axis, it becomes (-4,-1)

five more than the quotient of a number x and six

Answers

Answer:[tex]\frac{x}{6}[/tex] + 5

Step-by-step explanation:

Answer:

x/6 + 5.

Step-by-step explanation:

The quotient of x and 5 is x/6.

Adding 5 we get:

x/6 + 5.

Determine the nature of the roots: 2x2 + 8x + 3 = 0

Answers

Answer:

the nature of the roots of an equation is real, distinct and irrational

Step-by-step explanation:

Given Data provided in the question according to the question is as follows:

[tex]2x^2 + 8x + 3 = 0[/tex]

where

a = 2  ,  b = 8 , c = 3

As we know that

Quadratic expression

[tex]ax^2 + bx +c = 0[/tex]

Delta = [tex]b^2 - 4ac[/tex]

[tex]= (8)^2 - 4 (2) (3)[/tex]

= 64 - 24

= 40

Here,

Delta > 0, it does not contain perfect square

Therefore the nature of the roots of an equation is real, distinct and irrational

Solve 18>12+x. Graph the solution.

The solution is ?








































Answers

Answer:

x < 6.

Step-by-step explanation:

18 > 12+x

18 - 12 > x

x < 6.

The graph  will be a vertical dotted line passing through the point (6, 0) and shaded to the left.

Order these fractions from least to greatest 7/8 4/6 3/4

Answers

Answer:

4/6 , 3/4, 7/8

Step-by-step explanation:

7/8 4/6 3/4

The common denominator is 24

7/8*3/3 = 21/24

4/6* 4/4 = 16/24

3/4 * 6/6 = 18/24

From smallest to largest

16/24, 18/24, 21/24

4/6 , 3/4, 7/8

Evaluate:
a = -3, b = 1, and c= -4
-21 - C
Type the correct answer, then press Enter.
Ar

Answers

Answer:the answer is -17

Step-by-step explanation:

Jordan has some music books. He will buy 9 new music books each year. He will have 52 music books in 5 years. Rate of change per year = ____ Initial value = _____

Answers

Okay the answer is I have no clue

What is the factors of 27

Answers

Answer:

1, 27, 3, 9,

Step-by-step explanation:

To find the factors of 27 you need to find which whole number times another whole number = 27

We know that 1*27 = 27

We also know that 3*9 = 27

The factors are all the numbers that are used in the multiplication.

In this example the numbers are: 1, 3, 9 and 27

Answer:

1,9,3,27

Step-by-step explanation:

if we break it down we can see:

1x27=27

9x3=27

The table represents function f,and the graph represents function

Answers

Answer:

The line of symmetry for function f is x = 2 and the line of symmetry for function g is x = 1.

The y-intercept of function f is greater than the y-intercept of function g.

Over the interval [2, 4], the average rate of change of function f is greater than the average rate of change of function g.

Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

first box: -14[tex](x+7)^2-49=0\\(x+7)^2=49\\(x+7)=\sqrt{49} \\(x+7)=+/-7\\x=-7+/-7\\x=-7+7\,\,and\,\,-7-7\\x=0\,\,and\,\,-14[/tex]

second box: zero

Step-by-step explanation:

Triangles R S T and V U T are connected at point T. Angles R S T and V U T are right angles. The length of side R S is 12 and the length of side S T is 16. The length of side T U is 8 and the length of U V is 6. Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem? StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction

Answers

Answer:

  [tex]\dfrac{\overline{RS}}{\overline{VU}}=\dfrac{\overline{ST}}{\overline{UT}}\quad\text{and}\quad\angle S\cong\angle U[/tex]

Step-by-step explanation:

To use the SAS similarity theorem, you must show proportionality between corresponding sides, and congruence of the angle between them.

The answer shown above is the only answer choice that mentions an angle.

__

Comment on other choices

Choice B shows the three sides are proportional, so would be useful if the SSS similarity theorem were to be invoked. It isn't helpful for the using the SAS similarity theorem.

Choices C and D get the proportion statements wrong.

Answer:

RS/VU=ST/UT and Angle S congruent Angle U

A STORY OF UNITS


Lesson 23 Problem Set


3.7


Mischa makes a 4 foot by 6 foot rectangular banner. She puts ribbon around the outside edges. The


ribbon costs $2 per foot. What is the total cost of the ribbon?


к


W


What I know-


What I want to know-


Is there a Special condition?


Type here each banner is 4 by Type here how much it will cos Type here- $2 per ft


6 ft and its $2 per ft


for two


The ribbon will cost $ _40_


Math is


AWESOME!

Answers

Answer:

$40 will be the total cost of the ribbon.

Step-by-step explanation:

To find the cost of ribbon to be put on the edges of rectangular banner, we need to:

1. Find the perimeter of the rectangle.

2. Multiply the perimeter with the per foot cost to find the total cost.

Let us find the perimeter first:

Perimeter of a rectangle is given as:

[tex]P = 2 \times \text{(length+width)}[/tex]

Here, the dimensions of rectangle are 4ft by 6ft.

So, perimeter = [tex]2 \times (4+6) \Rightarrow 20\ ft[/tex]

It is given that per foot cost is $2.

Total cost of the ribbon = [tex]2 \times 20 \Rightarrow $40[/tex]

$40 will be the total cost of the ribbon.

(2x + 5)(2x - 5)
find the product

Answers

Answer:

4x^2 -25

Step-by-step explanation:

(2x + 5)(2x - 5)

FOIL

first: 2x*2x = 4x^2

outer : 2x*-5 = -10x

inner : 5*2x = 10x

last: -5*5 = -25

Add them together

4x^2 -10x +10x -25

Combine terms

4x^2 -25

Answer:

4x²- 25

Step-by-step explanation:

Let's use the FOIL (First, Outer, Inner, Last) method to solve:

(2x + 5)(2x - 5)

FOIL

First:

(2x + 5)(2x - 5)

2x(2x)

= 4x²

FOIL

Outer:

(2x + 5)(2x - 5)

2x(-5)

= -10x

FOIL

Inner:

(2x + 5)(2x - 5)

5(2x)

= 10x

FOIL

Last:

(2x + 5)(2x - 5)

(5)(-5)

= -25

Let's put it all together:

4x² - 10x + 10x - 25

Combine like terms:

4x² - 10x + 10x - 25

4x²- 25

Therefore, the product is 4x²- 25.

Berto has $12 and 3.75 per gallon how much gas can he get

Answers

Berro can get 3 gallons of gas

Answer:

(3.2, 12)

Step-by-step explanation:

Total cost for gas = $12

Cost per gallon = $3.75

Letting total cost of gas be y and number of gallons be x, maximum number of gallons of gas he can buy would be ;

Total cost of gas/ cost per gallon = 12 / 3.75 = 3.2 gallons

Therefore , the coordinate pair (x, y) = (3.2, 12)

Consider the line x-4y= -5.
Find the equation of the line that is parallel to this line and passes through the point (-7, -6).
Find the equation of the line that is perpendicular to this line and passes through the point (-7, -6).​

Answers

Answer:

1)     x-4y-22=-5

2)    y=-4x-34

Step-by-step explanation:

The box plot represents the number of minutes customers spend on hold when calling a company. A number line goes from 0 to 10. The whiskers range from 2 to 8, and the box ranges from 3 to 6. A line divides the box at 5. What is the upper quartile of the data?

Answers

Answer:

6

Step-by-step explanation:

The upper quartile (also known as Q3) is the right most side of the BOX (where the box ends). In the question, it says the box is from 3 to 6 meaning that the box ends at 6.

I hope this helps!

Answer:

6

Step-by-step explanation:

The upper quartile is 6 because the box ends at 6 and that is the upper quartile which is sometimes also known as Q3

A plane is descending onto the runway with an angle of depression of 55°. If it has 2.8 miles to go before landing (hypotenuse), what is the current altitude of the plane?

A. 4.9 miles
B. 3.4 miles
C. 4 miles
D. 1.6 miles
E. 2.3 miles

Answers

Answer:

Option C is correct

Step-by-step explanation:

Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.

To find: current altitude of the plane

Solution:

Consider the attached image.

In ΔABC,

[tex]\angle ACB=55^{\circ}[/tex] (Alternate interior angles)

For any angle [tex]\theta[/tex],

[tex]tan \theta[/tex] = side opposite to angle/side adjacent to angle

[tex]\tan C=\frac{AB}{BC}[/tex]

Put [tex]\angle C=55^{\circ}\,,\,BC=2.8\,\,miles[/tex]

[tex]AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles[/tex]

So, the current altitude of the plane is 4 miles.

plz help
solve for q

Answers

Answer: -3

Step-by-step explanation:

-3^2=-3*-3=-9

Because the square of q is equal to -9, the square root of -9 is equal to q.

Because of this fact, we can find the square root of -9 to get our answer.

[tex]\sqrt{-9}[/tex] = 3 i.

Therefore, q is equal to 3 i or [tex]\sqrt{-9}[/tex].

Hope this helped! :)

Logan is reading about architecture and learns that trusses can be used to support roofs. He wants to find the measures of the angles on a truss. truss.

Answers

Answer:

It could help Logan to first study the constitution and shape of this type of armor in order to make a mental image of the positions of the angles as well as the size.

Step-by-step explanation:

A previous study allows Logan to understand that these types of trusses have a triangular shape and are widely used in the construction of roofs, therefore Logan could use to draw this type of trusses.

What is the sum? 8 + (negative 12)

Answers

Answer:

your answer is -4!

Step-by-step explanation:

plz mark me brainliest

Answer: -4

Explanation: there are two unlike signs, so this equations turns into a subtraction equation. Subtract the smaller number from the bigger number (12-8) and your answer will be 4. Finally keep the sign of the larger number, which is a negative sign, and your final answer will be -4.

Please mark as brainliest!

If 15/50 = x/100, then x=

Answers

Answer:

30

Step-by-step explanation:

If 15/50 = x/100,

then 50x=1500,

and x-30

:-)

ttthhee maatthhhpleeaasss

Answers

Take the area of the bedroom (including the windows) and subtract the windows area.
The answer would be:

35-4= 31 square feet

Hope this helped

The perimeter of a figure is the total length of all of its sides.

False

True

Only answer if you know it’s a quiz

Answers

Answer:

True.

Step-by-step explanation:

That is exactly what a perimeter is. Hope this helps

question is attached

Answers

Answer:

7 and -5

Step-by-step explanation:

1. Factor: (x-7)(x+5)

2. Set both to zero and solve

Find the surface area of the cylinder. Round to the nearest tenths.

Answers

Answer:

The surface area of the cylinder is 251.2cm²

Step-by-step explanation:

To solve this problem we have to calculate the circle area and the lateral area

radius = half of diameter

r = 10/2 = 5cm

To calculate the area of ​​the circle we use the following formula

a = area

r = radius = 5cm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (5cm)²

a = 3.14 * 25cm²

a = 78.5cm²

The area of the circle is 78.5cm²

To calculate the lateral area of ​​the cylinder we use the following formula

a = area  =

h = heighti = 3cm

r = radius = 5cm

π = 3.14

a = 2 * π * r * h

we replace with the known values

a = 2 * 3.14 * 5cm * 3cm

a = 6.28 * 15cm²

a = 94.2cm²

The lateral area of ​​the cylinder is 94.2cm²

Now we add the lateral area of ​​the cylinder with 2 times the area of ​​the circle and obtain the area of ​​the cylinder

94.2cm²  + (2 * 78.5cm²) = 251.2cm²

The surface area of the cylinder is 251.2cm²

A triangle can have at most______right angle.
A. 4
B. 1
C. 0
D. 2

Answers

Answer:

B, 1 right angle

Step-by-step explanation:

Triangles don't have the same length of there sides. The sides are uneven which makes the triangle unique. Also, right triangles only have 1 right angle

Hope this helps

Mark brainliest pls

Answer:

B

Step-by-step explanation:

Another way you can think about it is by thinking about the total possible angle sum. The angles in a triangle must sum to 180, so if there are 2 or more right angles, then you either cant have a 3rd angle because thats already at or over 180 degrees. That is why it must be 1.

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