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Gekata [30.6K]
3 years ago
5

Selene's checking account balance was -$34, and then she withdrew $46 more. What is her checking account balance after the withd

rawal? A. -$12 B. $80 C. $12 D. -$80
Mathematics
2 answers:
raketka [301]3 years ago
8 0
D. -80
subtract 46 by -34
Ugo [173]3 years ago
4 0
Remark
If her account is overdrawn to start with, she not going into positive territory if she takes out another 46 dollars.

Forumula
Ending Balance = Starting balance - withdrawal
starting balance = - 34
Withdrawal = 46

ending balance = - 34 - 46 
ending balance = - 80

Answer D <<<< 
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ſ x - 5y = -9( 4x + 4y = - 12Step 1 of 2: Determine if the point (-4,1) lies on both of the lines in the system of equations by
Phoenix [80]

Given:

\begin{gathered} x-5y=-9\ldots\ldots(1) \\ 4x+4y=-12\ldots\text{.}\mathrm{}(2) \end{gathered}

The given point is (-4,1)

Let's check the ordered pair (-4,1) in the first equation

\begin{gathered} x-5y=-9 \\ (-4)-5(1)=-9 \\ -4-5=-9 \\ -9=-9 \end{gathered}

Hence, (-4,1) is a solution of the first equation x-5y=-9.

Now, let's check (-4,1) in the second equation.

\begin{gathered} 4x+4y=-12 \\ 4(-4)+4(1)=-12 \\ -16+4=-12 \\ -12=-12 \end{gathered}

So, (-4,1) is a solution of the second equation 4x+4y=-12.

Hence, (-4,1) is a solution of both equation in the system, then it is a solution to the overall system.

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9 months ago
Max says that the elapsed time from 11:55 AM to 1:01 PM is more than an hour and a half. Is he correct ? Explain.
kati45 [8]
He is wrong because 12:55 is one hr and you still need to get to 1:25 but he only got to 1:01 so he did not get the correct answer
5 0
3 years ago
What’s the ordered pairs of <br> y = 10x + 18? The image is down below.
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There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to
Kitty [74]
<h2>Hello!</h2>

The answer is:

The height of the  lightning rod is 27.4 feet.

<h2>Why?</h2>

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}

To the top of the lightning rod:

tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}

Now, isolating we have:

tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet

Also, we have that:

tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet

Rounding to the nearest foot, we have:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0
3 years ago
Please help if you can, it's due soon :) ​
mel-nik [20]

Answer:

<SDQ

Step-by-step explanation:

Eg if a = b, b = c, then a = c

8 0
2 years ago
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