A baker needs 40 fluid ounces of milk for a chocolate cake recipe and 64 fluid ounces of milk for a carrot cake recipe. How many cups of milk does the baker need for the carrot cake and the chocolate cake recipes combined?

Solution :

a). [tex]$P(0)$[/tex] is true

Then ,[tex]$P(0+2)=P(2)$[/tex] is true.

         [tex]$P(2+2)=P(4)$[/tex] is true

          [tex]$P(4+2)=P(6)$[/tex] is true.

Therefore, we see that [tex]$P(n)$[/tex] is true for all the even integers : [tex]$\{0, 2,4,6,...\}$[/tex]

b). [tex]$P(0)$[/tex] is true

Then ,[tex]$P(0+3)=P(3)$[/tex] is true.

         [tex]$P(3+3)=P(6)$[/tex] is true

          [tex]$P(6+3)=P(9)$[/tex] is true.

Therefore, we see that [tex]$P(n)$[/tex] is true for all the multiples of 3 : [tex]$\{0, 3,6,9,12,...\}$[/tex]

c). [tex]$P(0)$[/tex] and [tex]$P(1)$[/tex] is true, then [tex]$P(0+2)=P(2)$[/tex] is true

[tex]$P(1)$[/tex] and [tex]$P(2)$[/tex] is true, then [tex]$P(1+2)=P(3)$[/tex] is true.

[tex]$P(2)$[/tex] and [tex]$P(3)$[/tex] is true, then [tex]$P(2+2)=P(4)$[/tex] is true.

So, we observe that  [tex]$P(n)$[/tex] is true for all the non- negative integers : [tex]$\{0, 1,2,3,4,5,6,...\}$[/tex].

d). [tex]$P(0)$[/tex] is true,

   So, [tex]$P(0+2)$[/tex] and [tex]$P(0+3)$[/tex] is true or [tex]$P(2)$[/tex] and [tex]$P(3)$[/tex] is true.

   Now,   [tex]$P(2)$[/tex] is true.

Again, [tex]$P(2+2)$[/tex] and [tex]$P(2+3)$[/tex] is true or [tex]$P(4)$[/tex] and [tex]$P(5)$[/tex] is true.

   Now, [tex]$P(3)$[/tex] is true.

Again, [tex]$P(3+2)$[/tex] and [tex]$P(3+3)$[/tex] is true or [tex]$P(5)$[/tex] and [tex]$P(6)$[/tex] is true.

Thus,

[tex]$P(n)$[/tex] is true for all the non- negative integers except 1 : [tex]$\{0, 2,3,4,5,6,...\}$[/tex].

Answer:

cylinder

isn't this eighth grade geometry? i thought u were in high school

Answer:

should be -29.29 %

Step-by-step explanation:

Answer:

29.(29)%

Step-by-step explanation:

Answer:

C:  $6691

Step-by-step explanation:

This problem is one in compound interest.  The general formula is shown below.  The principal, P, is $5000, the annual interest rate, r, is 0.06 (expressed as a decimal fraction), and the number of years, t, is 5 years:   A represents the Amount after 5 years:

A = P(1 + r)^t becomes A = ($5000)(1 + 0.06)^5, or

A  = (5000)(1.06)^5 = $6691.12 (Answer D)

I believe this is correct! Good luck :)

Theoretical Probability:

P(rolling a 2) = 16.7%

P(rolling a 5) = 16.7%

P(rolling 2 or 3) = 33.4%

P(greater than 4) = 33.4%

P(3 or less) = 50.1%

Experimental Probability:

P(rolling a 2) = 20%

P(rolling a 5) = 6%

P(rolling 2 or 3) = 36%

P(greater than 4) = 24%

P(3 or less) = 54%

Explanation:

Theoretical probability can be calculated based on the idea that each of the six numbers on the die has an equal chance of being rolled and all numbers' probabilities total to 100%. Experimental probability is based on the outcomes of your experiment (rolling the dice yourself).

When finding the probability of rolling a number or another number (for example, rolling a 2 or 3), just add the probabilities together (You rolled 2 ten times and 3 eight times, so the experimental probability of rolling a 2 or 3 is 18/50 = 36%)

Answertank cu

Step-by-step explanation:

Answer:

Answer:

x = length of sitcoms = 21 minutes

y = length of dramas = 42 minutes

Step-by-step explanation:

Let

x = length of sitcoms

y = length of dramas

6x + 6y = 372 (1)

2x + 6y = 288 (2)

Subtract (2) from (1) to eliminate y

6x - 2x = 372 - 288

4x = 84

x = 84/4

x = 21

Substitute x = 21 into (1)

6x + 6y = 372

6(21) + 6y = 372

126 + 6y = 372

6y = 372 - 126

6y = 246

y = 246/6

y = 41

x = length of sitcoms = 21 minutes

y = length of dramas = 42 minutes

Answer:

Step-by-step explanation:

Midsegment means it's the middle, or half-way .  It chops the sides into even parts.  The line that's the midsegment is going to be parallel to the base and half the size of the base.  In other words, double the midsegment and that's equal to the base.  Then, just solve for x.

Answer:

1. 6

2. 40

3. 5

4. 50

5. 50

6. 5

Act. 2

1. 234

2. 123

3. 122

4. 343.

5. 111

Act. 3

Marcus gave each $120.

Brandon gets paid $9 each hour.

There are 20 boxes on each shelf.

The second page I'm not sure what that means.

Answer:

it depends on what your school district restricts

Step-by-step explanation:

Answer:

Here you go, it's In the attachment

Answer:

It is your answer please mark me brainlist

Step-by-step explanation:

follow

Answer:

$ 60.00

Step-by-step explanation:

.

The area of the square sandbox is 1,296 square inches

The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides. Since the area of a square is the product of its two sides, the unit of the area is given in square units.

Area of a square = Side × Side

                            =  [tex]Side ^{2}[/tex]

According to the question

Side of a square sandbox =  36 inches

Therefore,

The area of the square sandbox =  [tex]Side ^{2}[/tex]

                                                      =  [tex](36)^{2}[/tex]

                                                      =  1,296 square inches

Hence, the area of the square sandbox is 1,296 square inches

To  know more about area of square here:

https://brainly.com/question/1658516

#SPJ2

Answer:

9

Step-by-step explanation:

3x+8=35

3x=27

x=9

Answer: [tex]\$ 70[/tex]

Step-by-step explanation:

Given

Hester get a fixed amount and an additional $15 for an extended warranty

Suppose x is the amount of fixed amount

for 15 television sale, the price is $1275

Thus, we can write

[tex]\Rightarrow 15(x+15)=1275\\\Rightarrow x+15=85\\\Rightarrow x=\$70[/tex]

Therefore, the fixed amount of television is [tex]\$70[/tex]

Answer:

153.9

Step-by-step explanation:

hope it helps

Answer:

25 -4x^8

Step-by-step explanation:

Im pretty sure its this! <3 Hope it helped.

Answer: =−4[tex]x^{8}[/tex]+25

The 8 is an exponent

Step-by-step explanation:

(5−2x4)(5+2x)

=(5+−2)(5+2)

=(5)(5)+(5)(2[tex]x^{4}[/tex])+(−2

=25+10[tex]x^{4}[/tex]−10

=−4[tex]x^{8}[/tex]+25

Answer:

57

Step-by-step explanation:

3 * 3 * 3 = 27 +       5*6 =30   27+30=57

Hope this helps!

Answer:

c.57

Step-by-step explanation:

.3^3= 27

.and 5 (6)=30

27+30=57

remember to use pemdas!! (parenthesis, exponents, multiplication/division, addition/subtraction)

Answer: dot know srry

Step-by-step explanation:

Answer:

4a^2 + 9a + 10

Step-by-step explanation:

First we distribute

-4a^2 + (−6a) + (5)(3a) + (5)(2)

-4a^2 - 6a + 15a + 10

Then we combine like terms

4a^2 has no like terms, so it cannot be added onto anything else.

We add -6a to 15a

15a - 6a = 9a

4a^2 + 9a + 10

Answer:

Simplifying

(6a + -8)(4a2) = 0

Reorder the terms:

(-8 + 6a)(4a2) = 0

Remove parenthesis around (4a2)

(-8 + 6a) * 4a2 = 0

Reorder the terms for easier multiplication:

4a2(-8 + 6a) = 0

(-8 * 4a2 + 6a * 4a2) = 0

(-32a2 + 24a3) = 0

Solving

-32a2 + 24a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a2'.

8a2(-4 + 3a) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve:

Simplifying

a2 = 0

Solving

a2 = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying

a2 = 0

Take the square root of each side:

a = {0}

Subproblem 2

Set the factor '(-4 + 3a)' equal to zero and attempt to solve:

Simplifying

-4 + 3a = 0

Solving

-4 + 3a = 0

Move all terms containing a to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 3a = 0 + 4

Combine like terms: -4 + 4 = 0

0 + 3a = 0 + 4

3a = 0 + 4

Combine like terms: 0 + 4 = 4

3a = 4

Divide each side by '3'.

a = 1.333333333

Simplifying

a = 1.333333333

Solution

a = {0, 1.333333333}

Step-by-step explanation:

Answer:

r = 11.94

Step-by-step explanation:

Circumference Formula:

C = 2πr

75 = 2(3.14)r

75 = 6.28r

r = 75/6.28

r = 11.94

Answer:

3

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

Answer:

(10,5)

Step-by-step explanation:

●x+(-3)=7

x=7+3

x=10

●3x+4y=-10

3(-3y)+4y=-10

-6y+4y=-10

-2y=-10

y=5

Answer:

y=x+2; y=5

Step-by-step explanation:

Answer:

y=x+2; y=5

Step-by-step explanation:

got it right on the quiz

Answer:

a, cube

Step-by-step explanation: