MATHEMATICS MIDDLE SCHOOL

What is 1 1/2×2

show your work

Answers

Answer 1
Answer: 1 1/2 as a improper fraction is 3/2

2 as a fraction is 2/1.

Multiply: 3/2×2/1=6/2.

Simpliy: 6/2=3.

Therefore, the answer is 3.
Answer 2
Answer: 1 1/2 can be written as an improper fraction. To do this you multiply 1 by the denominator which is 2 and add it to the numerator which is 1 and then put the resulting number over the denominator.

1 times 2 is 2.
2+1 is 3.
We now put 3 over 2.
(3)/(2)

3 divided by 2 multiplied by 2 would cancel out the 2's so the resulting answer would be 3.

Or you can multiply them.
(3)/(2)*(2)/(1)=(3*2)/(2*1)=(6)/(2)=3

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The pressure at sea level is 11 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 2323 meters, the pressure around her is 3.33.3 atmospheres. The pressure pp in atmospheres is a function of xx, the depth in meters. Write the function's formula.

Answers

Answer:

p(x) = 0.1x + 1

Step-by-step explanation:

Pressure at sea level = 1 atmosphere

Depth dove by Sydney = 23 meters

Pressure at a depth of 23 meters = 3.3 atmospheres

So,

Pressure at a depth of 23 meters = Pressure at sea level + k * Depth dove by Sydney

where k is  the diving rate constant

=> 3.3 = 1 + k(23)

=> 3.3 = 23k + 1

Subtracting 1 from both the sides, we get

3.3 - 1 = 23k + 1 -1

Cancelling out the +1 and -1 from the right side, we get

2.3 = 23k

=> 23k = 2.3

Dividing both sides by 23, we get

(23k)/(23) = (2.3)/(23)

Cancelling out the 23's from the top and bottom of the left side, we have

k = 0.1

Plugging in the value of k in the equation, we get

Pressure at a particular depth = Pressure at sea level + k * Depth dove by Sydney

p(x) = 1 + k(x)     [where p(x) is the pressure at a depth x]

=> p(x) = 1 + 0.1(x)

=> p(x) = 0.1x + 1

Answer:

0.1x + 1

Step-by-step explanation:

Which of the following would not be the result of a substitution in the following system?2x + y = 7
y - x= 1

A. 7 - 2x- x = 1

B. 2x + x + 1 = 7

C. 2(y + 1) + y = 7​

Answers

Hello!

The correct option is:

C.2(y+1)+y=7

Why?

To find which of the given options are not the result of a substitution in the given system, we need to isolate the variable in function of the other variable, and then substitute it.

So, substituting and discarding, we have:

- First equation:

2x+y=7

Isolating "y", we have:

y=7-2x

Then, substituting it into the second equation, we have:

y-x=1

7-2x-x=1

We have that it's a result of a substitutiong in the following system (option A)

- Second equation:

y-x=1

Isolating "y", we have:

y=x+1

Then, substituting it into the first equation, we have:

2x+y=7

2x+(x+1)=7[/tex</p><p>[tex]2x+x+=7[/tex</p><p>We have that it's a result of a substitution in the following system (option B)</p><p>Hence, we have that the <strong>option C is not a result of a substitution </strong>in the given system of equations since <strong>there is not a possible value of the variable.

So, the correct option is:

C. [tex]2(y+1)+y=7" src="//tex.z-dn.net/?f=2x%2B(x%2B1)%3D7%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5D2x%2Bx%2B%3D7%5B%2Ftex%3C%2Fp%3E%3Cp%3EWe%20have%20that%20it's%20a%20result%20of%20a%20substitution%20in%20the%20following%20system%20(option%20B)%3C%2Fp%3E%3Cp%3EHence%2C%20we%20have%20that%20the%20%3Cstrong%3Eoption%20C%20is%20not%20a%20result%20of%20a%20substitution%20%3C%2Fstrong%3Ein%20the%20given%20system%20of%20equations%20since%20%3Cstrong%3Ethere%20is%20not%20a%20possible%20value%20of%20the%20variable%20%22x%22%20that%20is%20equal%20%22y%2B1%22%3C%2Fstrong%3E.%3C%2Fp%3E%3Cp%3ESo%2C%20%3Cstrong%3Ethe%20correct%20option%20is%3A%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3EC.%20%5Btex%5D2(y%2B1)%2By%3D7" />

Have a nice day!

Answer:

C. 2(y + 1) + y = 7​

Step-by-step explanation:

What is 4.92 divided by 0.8 subtract 0.12 divided by 0.3

Answers

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Hope that helped:P 

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