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leonid [27]
4 years ago
7

Vinnie decorated 72 cookies in 36 minutes. How many cookies did he decorate per minute

Mathematics
1 answer:
Hunter-Best [27]4 years ago
3 0
\frac{72\ cookies}{36\ minutes}=\frac{72}{36}\ cookies/minutes=\boxed{2\ cookies/minute}
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You’ve joined the CSCI Data Science team, and now you’re in charge of how to distribute projects for students to work on in team
baherus [9]

Answer:

a)How many different ways can you allocate the 22 students to the projects?  =2300

b)  how many different ways can you allocate the 22 students to the projects=    286

Step-by-step explanation:

check attachment for detail explanations

3 0
3 years ago
El perímetro de un rectángulo es 28cm, uno de los lados es 6cm más que el otro lado. Hallar el mayor lado del rectángulo.
son4ous [18]

Answer: El mayor lado del rectangulo tiene 10cm

Step-by-step explanation:

El perímetro de un rectángulo puede escribirse como:

P = 2*L + 2*A

Donde L es el largo y A es el ancho.

Sabemos que uno de los lados es 6cm mas largo que el otro, entonces podemos escribir:

L = A + 6cm.

P = 28cm = 2*L + 2*A

podemos reemplazar la primera ecuación en la segunda:

28cm = 2*(A + 6cm) + 2*A

28cm =  12cm + 4*A

28cm - 12cm = 4*A

16cm/4 = A

4cm = A.

Entonces el ancho es 4 cm, y el largo es L = 4cm + 6cm = 10cm

4 0
3 years ago
16. Suppose Eva has 12 3/4 pounds of flour. The day's baking will require triple that amount.
egoroff_w [7]

Answer:

Option D

Step-by-step explanation:

Given the following question:

12 \frac{3}{4} \times3

In order to find the answer, we have to convert the mixed number and then multiply by three, since how Eva needs triple the amount for today's baking.

12 \frac{3}{4} \times3
12\frac{3}{4} =4\times12=48+3=51=\frac{51}{4}
3=\frac{3}{1}
\frac{51}{4} \times\frac{3}{1}
51\times3=153
4\times1=4
=\frac{153}{4}

<u>Convert the improper fraction back into a mixed number:</u>

\frac{153}{4}
\frac{153}{4} =153\div4=38\frac{1}{4}
=38\frac{1}{4}

Which means Eva needs "38 1/4 pounds of flour" or option D for today's baking.

3 0
3 years ago
Let's find what percent of the total number of quantities is the given number or quantities?
astraxan [27]

Answer:

a. 20

b. 30

c. 75

b. 600 / 2000 * 100% (Change it to same unit)

3 / 10 * 100%

30%

You can slove every question by this method.

and dont forget to give me the brainest.

3 0
3 years ago
x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco
igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

Will have a characteristic equation of the form:

a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
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