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3 years ago

How many sloths were spotted altogether?

Mathematics

2 answers:

erastovalidia [21]3 years ago

8 0

Their frequencies are 1, 3, 2, 10, 2, and 1.

Add them together and you have 19 sloth sightings.

natulia [17]3 years ago

8 0

Answer:

19 sloths were spotted

Step-by-step explanation:

1+3+2+10+2+1=19

I hope that helped you :)

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Convert 4.90*10^31 atoms of nickel to moles of nickel

IceJOKER [234]

1 mole of any substance is approximately 6.022*10^23 atoms (Avogadro's number)

(4.90*10^31 atoms) * (1 mole / 6.022*10^23 atoms) = 8.14*10^7 moles

3 0

3 years ago

Bill can type 19 words per minute faster than bob. their combined typing speed is 97 words per minute. find bobs typing speed

Marina86 [1]

Answer:

Bob's typing speed is 39 words per minute.

Bill's typing speed is 58 words per minute.

Step-by-step explanation:

Given : 

Bill can type 19 words per minute faster than bob. their combined typing speed is 97 words per minute.

To Find : 

Bobs typing speed

Solution : 

Let the bobs typing speed is x

According to the given question :

Bobs typing speed is x

Bill's typing speed is 19+x

Their combined speed is 97 words per minute.

Solving value x : 

x + 19+x = 97

2x + 19 = 97

2x = 97 - 19

2x = 78

x = 78/2

x = 39

Bobs typing speed = 39

Bill's typing speed 39 + 19 = 58

Hence, Bobs speed is 39 words per minute.

8 0

4 years ago

Read 2 more answers

Answwer this please for 20 points and brainiest

Orlov [11]

264/2200 = 0.12

0.12*100 = 12%

6 0

2 years ago

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How much more popcorn does the bigger box hold than the smaller box??

Anuta_ua [19.1K]

Answer:

12.5cm

Step-by-step explanation:

5 0

3 years ago

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Give a geometric description of the following system of equations.a. 2x−4y=12 −3x+6y=−15.b. 2x−4y=12 −5x+3y=10.a. 2x−4y=12 −3x+6

Reptile [31]

Answer:

a. No solution, parallel lines.

b. One solution.

Step-by-step explanation:

Given the system of equations:

a. $2x-4y=12$

$-3x+6y=-15$

b. $2x-4y=12$

$-5x+3y=10$

To give a geometric description of the given system of equations.

The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.

i.e.

Number of planes = Number of variables

Number of lines = Number of equations in the system.

Here, we are given 2 variables and 2 equation in each system.

So, they can be represented in the xy-coordinates plane.

And the number of solutions to the system depends on the following condition.

Let the system of equations be:

$A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0$

1. One solution:

There will be one solution to the system of equations, If we have:

$\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}$

2. Infinitely Many Solutions: (Identical lines in the system)

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}= \dfrac{C_1}{C_2}$

3. No Solution:(Parallel lines)

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}$

Now, let us discuss the system of equations one by one:

a. $2x-4y=12$ OR $2x-4y-12=0$

$-3x+6y=-15$ OR $-3x+6y+15=0$

$A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -3, B_2 = 6, C_2= 15$

Here, the ratio:

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2} = -\dfrac{2}{3}\\\dfrac{C_1}{C_2} = -\dfrac{4}{5}$

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}$

Therefore, no solution i.e. parallel lines.

b. $2x-4y=12$ OR $2x-4y-12=0$

$-5x+3y=10$ OR $-5x+3y-10=0$

$A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -5, B_2 = 3, C_2 = -10$

$\dfrac{A_1}{A_2}= -\dfrac{2}{5}\\\dfrac{B_1}{B_2} = -\dfrac{4}{3}\\\dfrac{C_1}{C_2} = -\dfrac{6}{5}$

$\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}$

So, one solution.

Kindly refer to the images attached for the graphical representation of the given system of equations.

6 0

3 years ago