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3 years ago

At a shelter 15% of the dogs are puppies. There are 60 dogs at the shelter. How many are puppies?

Mathematics

2 answers:

Dmitry [639]3 years ago

8 0

.15 multiply by 60 is 9 puppies

kiruha [24]3 years ago

6 0

Answer:- There are 9 puppies in the shelter .

Explanation:-

Total dogs in the shelter=60

At the shelter 15% of the dogs are puppies.

Number of puppies=15% of total dogs

⇒Number of puppies $=\frac{15}{100}\times60$ ........[Simplify]

⇒Number of puppies $=9\ puppies$

Therefore, there are 9 puppies in the shelter .

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3 years ago

Which of the following statements is not true of deductive reasoning? It is used when you solve an equation in algebra. It is us

erastova [34]

Answer:

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Step-by-step explanation:

"It is used when you solve an equation in algebra."

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"It is used to make broad generalizations using specific observations."

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3 years ago

An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit

padilas [110]

Answer:

An electronics company can be produce 350 transistors and 340 computer chips, they can´t produce resistors.

Step-by-step explanation:

1. We will name the variables for transistors, resistors and the computer chips.

a = Transistors

b= Resistors

c = Computer chips

2. We propose three linear equations, one for the copper, one for the zinc and one for the glass.

$\left \{ {{3a+3b+2c=1730} \atop {a+2b+c=690}}\atop {2a+b+2c=1380}} \right.$

3. We write the matrix form as Ax=d

$A=\left(\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right)$

$x=\left(\begin{array}{ccc}a\\b\\c\end{array}\right)$

$A=\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)$

With this formula the solution of x is $x=\frac{d}{A}$ or $x=A^{-1}d$

4. We will find the inverse matrix $A^{-1}$ using the formula:

$A^{-1} = \frac{1}{detA} (C_{A})^{T}$

a. det A

$det A=\left[\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right] =3*(4-1)-3*(2-2)+2*(1-4)=9-0-6=3$

b. $(C_{A})^{T}$

$C_{A}=\left(\begin{array}{ccc}4-1&.(2-2)&1-4\\-(6-2)&6-4&-(3-6)\\3-4&-(3-2)&6-3\end{array}\right)$

$C_{A}=\left(\begin{array}{ccc}3&.0&-3\\-4&2&3\\-1&-1&3\end{array}\right)$

$(C_{A}) ^T=\left(\begin{array}{ccc}3&0&-3\\-4&2&3\\-1&-1&3\end{array}\right)^T$

$(C_{A}) ^T=\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)$

c. $A^{-1}$

$A^{-1}=\frac{1}{3} \left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)$

5. As $x=\frac{d}{A}$ or $x=A^{-1}d$ , the solution of x is:

$x=\frac{1}{3}\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)$

$x=\frac{1}{3}\left(\begin{array}{ccc}(3*1730)+(-4*690)+(-1*1380)\\(0*1730)+(2*690)+(-1*1380)\\(-3*1730)+(3*690)+(3*1380)\end{array}\right)$

$x=\frac{1}{3}\left(\begin{array}{ccc}1050\\0\\1020)\end{array}\right)$

$X=\left[\begin{array}{ccc}350\\0\\340\end{array}\right]$

Therefore:

a= 350 Transistors

b=0 Resistors

c=340 Computer chips

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3 years ago

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Genrish500 [490]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

How many 1/2 unit cubes can fit in a a prism with a volume of 6 cubic units

AlekseyPX

Answer:

48 cubes

Step-by-step explanation:

step 1

Find the volume of one 1/2 unit cube

The volume of the cube is given by

$V=b^3$

where

b is the length side of the cube

we have

$b=\frac{1}{2}\ units$

substitute

$V=(\frac{1}{2})^3$

$V=\frac{1}{8}\ units^3$

step 2

Divide the volume of the prism by the volume of one cube

$6:\frac{1}{8}=6(8)=48\ cubes$

3 0

3 years ago