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Flauer [41]
3 years ago
15

stans cookie recipe makes 24 cookies and calls for exactly 384 sprinkles he is wondering how many sprinkles he would need to mak

e 60 cookies he assumes each cookie will have same number of sprinkles how many sprinkles does Stan need to make 60 cookies

Mathematics
2 answers:
Kisachek [45]3 years ago
7 0
He will need 960 sprinkles for 60 cookies.

This can be found by first finding how many sprinkles are on 1 cookie. To do this, you divide 384 by 24, to get 16 sprinkels on 1 cookie. Then you multiply 16 by 60 to get 960 (the number of sprinkles for 60 cookies).

I hope this helps!
Nina [5.8K]3 years ago
7 0

Answer:

Stan would need 960 sprinkles to make <u>60 cookies.</u>

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Since we are given 3 values, which are the <u>amount of sprinkles</u> to make<u> 24 cookies</u>, <u>60 cookies</u>, and give us one variable. We can use the Rule of Three technique to find the amount of sprinkles needed for <u>60 cookies</u>. This technique is shown in the picture that is attached below.

24 cookies   ⇒   384 sprinkles

60 cookies   ⇒   x

\frac{60*384}{24} = x

960 sprinkles = x

Therefore, we can see that Stan would need 960 sprinkles to make <u>60 cookies.</u>

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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Step-by-step explanation:

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Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40
Dominik [7]

Amanda's method is linear because the number of minutes increased by an equal number every week.

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2 years ago
Please help me [Below is the graph of equation y=|x+2|-1. Use this graph to find all values of x such that y&lt;0] IF YOU PUT A
Alchen [17]

Answer:

x ∈ (-3, -1)

Step-by-step explanation:

In the graph, the vertical axis represents the y-value, while the horizontal axis represents the x-value.

y < 0 (y smaller than zero) happens in the region where the graph is below the horizontal axis.

Only by looking at the graph, we can see that y < 0 (the graph is below the horizontal axis) for the values of x in the interval (-3, -1)

Then all the values of x such that y < 0 are:

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3 0
2 years ago
In 12 years, Janice will be 8 times as old as she was 2 years ago. How old is Janice<br> now?
Setler [38]

Janice is currently 4.

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I hope this helps!

6 0
3 years ago
A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.
Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

f(x,y,z)= xy+2xz+2yz.....(1)

Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

\Rightarrow z=\frac{19652}{xy}......(2)

putting the value of z in the equation (1)

f(x,y)=xy+2x(\frac{19652}{xy})+2y(\frac{19652}{xy})

\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}

The partial derivatives are

f_x=y-\frac{39304}{x^2}

f_y=x-\frac{39304}{y^2}

To find the dimension of the box set the partial derivatives f_x=0 and f_y=0.Therefore y-\frac{39304}{x^2}=0

\Rightarrow y=\frac{39304}{x^2}.......(3)

and   x-\frac{39304}{y^2}=0

\Rightarrow x=\frac{39304}{y^2}.......(4)

Now putting the x in equation (3)

y =\frac {39304}{(\frac{39304}{y^2})^2}

\Rightarrow y=\frac{y^4}{39304}

\Rightarrow y^3= 39304

⇒y=34 cm

Then \Rightarrow x=\frac{39304}{34^2} =34 cm.

Putting the value of x and y in the equation (2)

z=\frac{19652}{34 \times 24}

  =17 cm.

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

4 0
3 years ago
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