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Gekata [30.6K]
3 years ago
5

In order to make 6 dozen cookies, you must use 3 eggs in the batter. How many eggs would be required to make 48 dozen cookies? U

se a proportion to solve.
A
3
B
96
C
8
D
24
Mathematics
2 answers:
Brrunno [24]3 years ago
7 0

24

Step-by-step explanation:

Well 6 times 8 is 48 so

8 times 3 is 24

juin [17]3 years ago
6 0

Answer:

24 eggs

Step-by-step explanation:

First, set up the proportion:

3 eggs : 6 dozen cookies = x eggs : 48 dozen cookies

Then cross multiply:

(3)(48)= (6)(x)

Then simplify:

144=6x

Finally, divide both sides by 6 to get your answer:

x=24

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What is the probability of rolling a dice and landing on a 4, and
harina [27]

Answer:

1/6 and 3/6

Step-by-step explanation:

a dice has up to 6 sides making it a 1/6 chance for landing ona four. and then making it a 3/6 chance for landing on a even number

4 0
3 years ago
Use differentiation rules to find the values of a and b that make the function f(x) = ( x 2 if x ≤ 2, ax3 + bx if x > 2 diffe
Maurinko [17]

Answer:

The values of a and b are  a=\frac{1}{4} and b = 1

Step-by-step explanation:

* <em>Lets explain how to solve the equation</em>

  f(x) =  {x²                x  ≤ 2

            {ax³ + bx     x > 2  

* We need to find the values of a , b that make the function

 differentiable at x = 2

- <em>At first for f(x) to be continuous at x = 2, substitute x by two in the</em>

<em>  the two expressions and equate them</em>

∵ f(x) = x² at x ≤ 2 and f(x) = ax³ + bx at x > 2

∴ f(2) = (2)² = 4 ⇒ (1)

∴ f(2) = a(2)³ + b(2)

∴ f(2) = 8a + 2b ⇒ (2)

- Equate (1) and (2)

∴ 8a + 2b = 4 ⇒ (3)

* <em>For f(x) to be differentiable when x = 2, the function must be </em>

<em>  continuous when x = 2 and the one-sided derivatives must be </em>

<em>  equal when x = 2</em>

# <u>Remember</u>: If f(x)=ax^{b} , then f'(x)=abx^{b-1}

 If f(x)=ax , then f'(x)=a

 If f(x)=a , then f'(x)=0

∵ f(x) = x²

∴ f'(x) = 2x

- Substitute x by 2

∴ f'(2) = 2(2) = 4

∴ f'(2) = 4 ⇒ (4)

∵ f(x) = ax³ + bx

∴ f'(x) = 3ax² + b

- substitute x by 2

∴ f'(2) = 3a(2)² + b

∴ f'(2) = 12a + b ⇒ (5)

- Equate (4) and (5)

∴ 12a + b = 4 ⇒ (6)

* Now we have system of equations

 8a + 2b = 4 ⇒ (3)

 12a + b = 4 ⇒ (6)

- Multiply equation (6) by -2 to eliminate b

∴ -24 a - 2b = -8 ⇒ (7)

- Add equations (3) and (7)

∴ -16a = -4

- Divide both sides by -16

∴ a = \frac{1}{4}

- substitute the value of a in equation (6)

∴ 12(\frac{1}{4})+b=4

∴ 3 + b = 4

- Subtract 3 from both sides

∴ b = 1

* The values of a and b are  a=\frac{1}{4} and b = 1

5 0
3 years ago
Please help me with this math problem ASAP.
vazorg [7]

Answer: x = -4; x = -1; x = 3

see in this graph, at x = {-4; -1; 3} => y = 0

=> the zeros of the function are -4; -1; 3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
PLEASE ANSWER QUICK<br><br> What is the unit rate for the ratio 96:8
frez [133]

Answer:

12:1

Step-by-step explanation:

96/8 = 12

4 0
3 years ago
juan needs to take a taxi to get to the movies. the taxi charges 3.50 dollars for the first mile, then 2.75 dollars for each mil
kompoz [17]
6.5 miles , hope this helped

3 0
3 years ago
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