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irga5000 [103]
3 years ago
9

A teacher plans to buy the same number of notebooks and rulers for his classroom. Each notebook costs $2 and each ruler costs $1

.
What can be a good numerical expression that represents the total amount of money the teacher will spend on x rulers and x notebooks.

also, write an equivalent expression.
Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

Answer:

3x=total amount of money, 3x

Step-by-step explanation:

Because the number of notes books is the same (x and x), you can simply add them.

Basically, the equation is 1x+2x= total cost but you can add 1x and 2x because they have the same variable

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Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex
Mazyrski [523]

Answer:

x^2

Step-by-step explanation:

apply the inverse properties of logarithmic and exponential functions to simplify  

ln(e^{x^2})

all logs has base 'e'

Inverse property of log says that

ln(e^x)=x, the value of ln e=1

we apply this property in our problem. ln has same base 'e' .  ln and 'e' gets cancelled

ln(e^{x^2})

x^2

5 0
3 years ago
John used AABC to write a proof of the Centroid Theorem. He began by drawing medians AK and CL,
kumpel [21]

Answer:

Hello your question is poorly written attached below is the complete question

answer :  attached below

Step-by-step explanation:

To Prove: Z is located 2/3 of the distance from each vertex of ΔABC to the midpoint of the opposite side. we will apply ; property of bisecting a line , equality theorem , transitive property and similarity theorem

Attached below is the proof

8 0
3 years ago
I can’t figure out, can someone please explain how to get the correct answer?
Karolina [17]

Answer:

  a)  CD = 9

  b)  AB = 20

Step-by-step explanation:

<h3>a)</h3>

In this geometry, all of the right triangles are similar. This means The ratio of short side to long side is the same for all of the triangles.

You are given the short and long sides of ΔADB, and the long side of ΔCDA. You are asked for the short side of ΔCDA, so you can write the proportion ...

  CD/AD = AD/BD

  CD/12 = 12/16

  CD = 12(12/16)

  CD = 9

__

<h3>b)</h3>

There are a couple of options for finding AD. One you may be familiar with is the Pythagorean theorem.

  AB² = AD² +DB²

  AB² = 12² +16² = 144 +256 = 400 . . . . fill in known values

  AB = √400 = 20 . . . . . take the square root

__

Alternatively, you can use the same proportional relationship that is described above. Here, we make use of the ratio of the hypotenuse to the long side.

  AB/BD = CB/AB

  AB² = BD·CB = 16·(16+9) = 16·25 . . . . cross multiply; fill in known values

  AB = √(16·25) = 4·5 . . . . . take the square root

  AB = 20

_____

<em>Additional comment</em>

This geometry, where the altitude of a right triangle is drawn, has some interesting properties. We have hinted at them above.

You can write three sets of proportions for this geometry: the ratios of short side and long side; the ratios of short side and hypotenuse; and the ratios of long side and hypotenuse. When you look at the way the sides touching the longest hypotenuse relate to that hypotenuse, you see three similar relations:

  AC = √(CD·CB)

  AD = √(DC·DB)

  AB = √(BD·BC) . . . . . . . . the relation used in part (b) above

This "square root of a product" is called the <em>geometric mean</em>. In effect, the length of a side touching the longest hypotenuse is the geometric mean of the two segments of that hypotenuse that it touches.

7 0
2 years ago
What is the simplified form of 15 times x to the fifth power over 20 times y to the sixth power times the fraction 6 times y to
Tanya [424]
The answer is 9 x cubed over 10 y squared!
6 0
1 year ago
Read 2 more answers
Need help thanks <br><br><br> ---
Molodets [167]

the answer is A

these are filler words so I can submit it haha

6 0
3 years ago
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