Baking a loaf of banana bread takes 2 cups of flour and 1 cup of sugar. A loaf of
pumpkin bread takes 3 cups of flour and 2 cups of sugar. A baker has 30 cups of flour
and 16 cups of sugar to use. She makes $2.50 profit per loaf of banana bread and
$4.00 profit per loaf of pumpkin bread. How many loaves of each type of bread should
the baker make to maximize her profit?

Answers

Answer 1

Answer:

I assume it would be 15 loves of banana bread.

Step-by-step explanation:

if you do 8 loves of pumpkin bread, you get $24 profit.

If you do 15 loves of banana bread, you get $37.50 in profit.

Answer 2

To maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.

What is linear inequality?

" Linear inequalities are defined as algebraic expression which are related with the sign of inequality."

According to the question,

'x' represents the number of loaves of banana bread

'y' represents the number of loaves of pumpkin bread

As per the given condition,

Total profit  on making bread [tex]'P' = 2.50x + 4.00y[/tex]     ____(1)

Linear inequalities are

[tex]2x + 3y\leq 30\\\\x+ 2y \leq 16[/tex]

By solving linear inequalities we get,  

[tex]x= 12\\ \\y =2[/tex]

As shown in the diagram drawn , point of intersection  is (12,2) for the given inequality.

Substitute the value of 'x' and 'y' in (1) to get the maximize profit ,

Maximize profit ' P' [tex]= 2.50(12) + 4 (2)[/tex]

                          [tex]= 30 + 8\\= \$38[/tex]

Hence, to maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.

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Baking A Loaf Of Banana Bread Takes 2 Cups Of Flour And 1 Cup Of Sugar. A Loaf Ofpumpkin Bread Takes

Related Questions

pls help me i need help

Answers

Answer:

3x was subtracted from the left side, but 3x was subtracted from the right side. The Subtract Property of Equality states that you can subtract the same number from each side and the equation will remain true. But 3x and 3 are not the same number (unless x is 1).

x = -8/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex](7x+3x)+(21)=5[/tex] [tex]10x + 21 = 5[/tex]

Step 2: Subtract 12 from both sides.

[tex]10x + 21 - 21 = 5 - 21[/tex] [tex]10x = -16[/tex]

Step 3: Divide both sides by 10.

[tex]\frac{10x}{10} = \frac{-16}{10}[/tex] [tex]x = -\frac{8}{5}[/tex]

9514 1404 393

Answer:

3x31x = -1.6

Step-by-step explanation:

You answer this sort of question by comparing each line to the line above to see what the differences are. In the second line, the term 3x is missing from the left side of the equal sign, and the value 5 has been changed to the value 2 on the right side. The wording of the statement you're to fill in tells you that it should read ...

  3x was subtracted from the left side, but 3 was subtracted from the right side.

  ... 3x and 3 are not the same number (unless x is 1 .)

__

The correct solution is ...

  7x +21 +3x = 5 . . . . . . given

  10x +21 = 5 . . . . . . . . . collect terms

  10x = -16 . . . . . . . . . . . subtract 21 from both sides

  x = -1.6 . . . . . . . . . . . .  divide both sides by 10

_____

Additional comment

It can often work well to "read ahead" when answering a question or series of questions. The later questions or comments often provide clues that help you understand how to answer the earlier questions.

Here, for example, it becomes clear that 3x and 3 were subtracted from the different sides of the equation. You can find that out simply by reading the rest of the statement you're to fill in. These are the answers to the questions asked in the first part of the statement.

Solve the inequality: 2-8x>34, show work​

Answers

Step-by-step explanation:

we are to first collect like terms here I mean all numbers that look alike are to be out on the same side so we are now going to have.

[tex]2 - 8x > 34[/tex]

[tex] - 8x > 34 - 2[/tex]

[tex] - 8x > 32[/tex]

now we are to divide both sides with the coefficient of x and we are to get

[tex] - 8x \div - 8 < 32 \div - 8 = x < 4[/tex]

Hello ! Can anyone help me with this ! Please and thank you

Answers

Answer:

Thank you for being so kind! X=15

Step-by-step explanation:

each expression combined is equal to 180.

so you must put 5x+9+7x-9 and solve to get 15!

Enter your answer as a Mixed number pls.

Answers

The answer is [tex]2\frac{3}{4}[/tex] more gallons

The volume of the prism below is 180in3. What is the value of x? ​

Answers

x = 12

To find the volume of a cuboid, you do the length x width x height

3 x 5 x ´x’ = 180

Simplify:
15 x ´x’ = 180

To find ´x’, divide 180 by 15
180 / 15 = 12

x = 12

How many ways can 5 different books be stacked on a shelf?



1) 24

2) 120

3) 2

4) 6

Answers

Answer:

120

Step-by-step explanation:

There are 5 different ways to put the first book

Now there are 4 books left

There are 4 different ways to put the second book

Now there are 3 books left

There are 3 different ways to put the third book

Now there are 2 books left

There are 2 different ways to put the fourth book

Now there are 1 book left

5*4*3*2*1

120

If I have 39 campers divided into groups of 6 with 1 counselor assigned to each group, what is the least number of camp counselors that will be needed

Answers

Answer:

7 counselors

Step-by-step explanation: 39 cannot be broken into 6 evenly, so you would either have 3 extra students without a counselor, or half of a counselor walking around, so 7.

What is the x intercept of f(x) = x + 12

Answers

Answer:

-12,0

Step-by-step explanation:

i took the quiz

Answer:

The x intercept is -12

Step-by-step explanation:

Because we need to find the x intercept (x,0)

We can substitute y or F(x) into 0

0=x+12

Subtract 12 on both sides

x=-12

so (-12,0) or -12

Hope this helps!

Write this number in scientific notation. 33,200

Answers

Answer:

104 = 10,000 x 3.32 = 33,200

Step-by-step explanation:

hope this helps

Hello There!

When we are writing numbers in scientific notation, we must make sure that the coefficient is between 1 and 10:

3.32x10^4

Hope this helps!

All the best! :)

[tex]GraceRosalia[/tex]

what is the answer to the bottom question?

Answers

Answer:

its answer is the same as the top, s³+12

8 × 4× 8 = 256

12 × 12 × 12 = 1,728

256 + 1,728 = 1,984

total volume is: 1,984

Pleaseee help me I’m stuck

Answers

Answer: 105

Step-by-step explanation:

its up by 30 and 35 of and onn

solve pls brainliest

Answers

Answer:

the answer is 4 ; 5/8

have a good day

Answer:

The first box is 4, the second box which is above the third box is 12 and the third box is 8

Step-by-step explanation:

To add fractions, you have to find like terms. So, you have to make 1/2 have a denominator of 8.

8/2 is 4, so 1/2 equals 4/8.

Now, the first box above the 8 will be 4.

The second and third boxes will be the sum to 4/8+8/8 which is 12/8.

Find the perimeter of a triangle with sides of 12 inches, 14 inches, and 16 inches.

Answers

Answer: 42 inches

Step-by-step explanation:

a+b+c=perimeter

12+14+16=42 inches

Perimeter of the triangle = (12 + 14 + 16) inches

= 42 inches

Ashley, Kevin, and Deshaun served a total of 96 orders Monday at the school cafeteria. Kevin served 4 times as many orders as Deshaun. Deshaun served more orders than Ashley. How many orders did they each serve.

Answers

Answer:

D = 96  

K = 96 x 4 = 384

A= 4

Step-by-step explanation:

Deshaun = 96

Kevin = 96 x 4 = 384

Ashely = 384 /  96 = 4

At which time is the distance between the tip of the hour hand and the tip of the minute hand greater, 2:20 or 2:25?

Answers

At 2:25, the distance between the tip of the hour hand and the minute will be greater.

What is the distance between the hour and the minute hand?

The distance between the hour hand and the minute hand is measured in degrees and the higher the degree, the greater is the distance between the tip of the hour hand and the tip of the minute hand.

From an hour to another;

The shift in hour = 30°

So, starting from 12 toward the clockwise direction, the tip of the hour shift twice; i.e.

= 2 × 30°

= 60°

Now, in 2hr : 20 minutes, the distance is:

[tex]\mathbf{= 60+(\dfrac{20}{60})\times 30^0}[/tex]

= 70°

In 2hr : 25 minutes, the distance is:

[tex]\mathbf{= 60+(\dfrac{25}{60})\times 30^0}[/tex]

= 72.5°

Thus, at 2:25, the distance between the tip of the hour hand and the minute will be greater.

Learn more about time-distance here:

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(a+b)^3 ///////////////////////////

Answers

Answer:

What is the question you are asking?

Answer:

(a+b)³ = a³+b³+3ab(a+b)

Step-by-step explanation:

hope it's helpful to you ☺️

only my freinds do not awnser

Answers

I guess my your friend

2|3x-9|+5<25 help please

Answers

Snmamxkxkkdksksmznxnskajdjfc

What are the coordinates of point B in the diagram?

A. (3.25, -2.5)

B. (4, -5)

C. (1, 3)

D. (2.5, 0)

Answers

The answers is b (4, -5)

Answer:

the answer is B, because the x is increasing by .75 and y is deceasing by 2.5

Step-by-step explanation:

Dice Rolls: If you roll a pair of fair dice, what is the probability of each of the following? (round all answers to 4 decimal places)
a) getting a sum of 1?

b) getting a sum of 5?

c) getting a sum of 12?

Answers

Answer:

(A)= 0

(B)= 1/9

(C)= 1/36

how to use Lcd in this problem? [a-2. -_1_ =_3_]find Lcd [ a+3 1 a-2]. (a+3)(a+2). multiply all neumerator to (LCD) a-2 - 1= 3 ___ _ a/+3. a+/2 (a-6 )(a+6) - 1 (a+2)(a+3)(a+2/)/*) negative a +positive2: distribuet: (a(a+3)++2. = (a+3)​

Answers

It's not entirely clear to me what you're trying to solve, but it looks like the initial equation is

[tex]\dfrac{a-2}{a+3} -1 = \dfrac3{a+2}[/tex]

First convert each term into a fraction with the same (i.e. the least common) denominator. The first term needs to be multiplied by a + 2; the second term by (a + 3) (a + 2); and the third term by a + 3 :

[tex]\dfrac{a-2}{a+3}\cdot\dfrac{a+2}{a+2} -1\cdot\dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac3{a+2}\cdot\dfrac{a+3}{a+3} \\\\ \dfrac{(a-2)(a+2)}{(a+3)(a+2)} - \dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac{3(a+3)}{(a+3)(a+2)}[/tex]

Now that everything has the same denominator, we can combine the fractions into one. Move every term to one side and join the numerators:

[tex]\dfrac{(a-2)(a+2)-(a+3)(a+2)-3(a+3)}{(a+3)(a+2)} = 0[/tex]

Simplify the numerator:

[tex]\dfrac{(a^2-4)-(a^2+5a+6)-(3a+9)}{(a+3)(a+2)} = 0 \\\\ \dfrac{-8a-19}{(a+3)(a+2)} = 0[/tex]

If neither a = -3 nor a = -2, we can ignore the denominator:

[tex]-8a-19 = 0[/tex]

Solve for a :

[tex]-8a = 19 \\\\ \boxed{a = -\dfrac{19}8}[/tex]

HELP!! find x.
answer choices:
x=20
x=92
x=90
x=12

pls explain ur answer if u can

Answers

Answer:

x = 20

Step-by-step explanation:

I just plugged in the x possibilities until they both matched, and because they are on opposite sides, as in if they were in the same grid they would be right across from each other, they represent the same angle.

You could also set them equal to each other.

As in:

3x + 32 = 5x - 8

This would simplify (after isolating x) to:

40 = 2x

Divide by 2

20 = x

>> Answer

_________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

3x + 32° + 5x - 8° = 180°

8x + 24° = 180°

8x = 180° - 24°

8x = 156°

x = 156 ÷ 8

x = 19,5°

x [tex]\approx[/tex] 20° (A.)

Simplify square root 4x squared

Answers

Answer:

[tex]\sqrt{4x^2}=2|x|[/tex]

Step-by-step explanation:

We are given the radical [tex]\sqrt{4x^2}[/tex] and we have to simplify it down as much as possible.

We first will have to find out what numbers are inside the square root, we can see that there is a 4 and an [tex]x^2[/tex], of which both can be taken out of the square root by simplification.

The square root of 4 is 2, and the square root of [tex]x^2[/tex] is [tex]x[/tex].

Due to how radicals work, we have to multiply 2 and [tex]x[/tex], but before that, we have to preserve how the radical was beforehand. We know that a radical cannot have a negative radicand, and due to that we must add absolute value to keep the equation's original status the same.

To sum it all up, our answer is [tex]2|x|[/tex], due to us simplifying it down, and applying absolute value to preserve the answer before it was simplified.

Cheers!

Which expression is equal to 8.89? *

Answers

Answer:

1/4

Step-by-step explanation:

Looking for a good study guide whoever gives me the best one will get brainliest You do not need to make it but as long as I think it’s the best one you can get it

Answers

https://www.sparknotes.com/math/
Try IxL.com they have good things for practicing and stuff

Simplify the following expression. ‐3 + 7(a – 3b – 1) – 4(10 – a + 2b)

Answers

Answer:

11a−29b−50

Step-by-step explanation:

Hope this helps brodie

The simplified expression for ‐3 + 7(a – 3b – 1) – 4(10 – a + 2b) is 11a - 29b - 50.

To simplify the expression -3 + 7(a - 3b - 1) - 4(10 - a + 2b), we can apply the distributive property and combine like terms:

-3 + 7(a - 3b - 1) - 4(10 - a + 2b)

= -3 + 7a - 21b - 7 - 40 + 4a - 8b

= (7a + 4a) + (-21b - 8b) + (-3 - 7 - 40)

= 11a - 29b - 50

Therefore, the simplified expression is 11a - 29b - 50.

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River Fun Boats rents paddle boats. The euqation C = 0.10t + 4 gives the charge in dollars, C, for renting a paddle boat for t minutes. What is the charge for renting the paddle boat for 20 minutes?

Answers

Answer:

6

Step-by-step explanation:

C=.10t+4

C=.10(20)+4

C=2+4

C=6

Look at the sample work shown and determine the error, if any.

The multiplication property of equality was not performed correctly.

The addition property of equality was not used correctly.

There are no mistakes.

Answers

There is no image? Please input an image so I can try to help :)

Answer:

There are no mistakes

Step-by-step explanation:

I did the assignment

32. Last ride Consider the roller coasters described in Exercise 26 again. The regression analysis gives the model Duration = 64.232 + 0.180 Drop. a) Explain what the slope of the line says about how long a roller coaster ride may last and the height of the coaster b) A new roller coaster advertises an initial drop of 200 feet. How long would you predict the rides last? c) Another coaster with a 150-foot initial drop advertises a 2-minute ride. Is this longer or shorter than you'd expect? By how much? What's that called? ​

Answers

Step-by-step explanation:

https://www.numerade.com/ask/question/last-ride-consider-the-roller-coasters-described-in-exercise-26-again-the-regression-analysis-gives--64809/

Find the value of the missing angle. Remember the figure is not drawn to scale.

Answers

Answer:

x=4

Step-by-step explanation:

117+59=176

176+4=180

x=4

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