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Alexus [3.1K]
2 years ago
6

The answer to a division problem in David's homework was 12. Which of the following expressions might he have solved? Select ALL

that apply.
A.
410÷45
B.
34÷23
C.
39÷23
D.
714÷77
E.
23÷412
F.
413÷67
Mathematics
2 answers:
emmainna [20.7K]2 years ago
4 0
None of those equal 12?
alukav5142 [94]2 years ago
3 0
None of those equal 12. Answers below are rounded.

A= 9.11
B= 1.48
C=1.70
D= 9.27
E= 0.06
F=6.16

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What is 4 1/2 divided by 7 1/3 and multiplied by 1 3/5?
Luba_88 [7]
I did the work and it says 0.3683492496 and more number but i believe its 0.3 without all those other numbers

6 0
3 years ago
⎪6 − 4⎪ − ⎪3 − 8⎪ = ?<br> Please help!!!!
andriy [413]

Answer:

-3

Step-by-step explanation:

Numbers that come out of the absolute values are always positive.

|6 - 4| -|3 - 8| =

| 2| - | -5| =

2 - 5 =

-3

3 0
3 years ago
An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

3 0
3 years ago
Write a number sentence to represent the model. Explain how you determined the number sentence.
vampirchik [111]

90 % sure

The image attached shows an operation that can be represented with whole numbers, becuase there are positive and negative characters.

So, we know by given that there are +4 circles and -7 circles, and the whole can be expressed as the algebraic sum of them,

Therefore, the model can be represented by the number -3, which is the whole because is the result of the operation that represent each type of element.

hope i helped

-lvr

4 0
3 years ago
An expression is shown below.
Sergio [31]

Answer:

<em><u>5</u></em>

Step-by-step explanation:

They do not have the common factor of x or y, so not them.

The GCF is 5, Both numbers can be divded by 5:

20x/5 = 4x

35y/5 = 7y

7 0
3 years ago
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