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Novosadov [1.4K]
3 years ago
12

What is the solution to the equation 1/3(x-2)=1/5(x+54)+2

Mathematics
2 answers:
Marta_Voda [28]3 years ago
7 0
0.13 I’m not sure tho
Dennis_Churaev [7]3 years ago
5 0

Answer:

x=101

Step-by-step explanation:

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Which of the scenarios below would a t-test of the difference between means for dependent samples be appropriate?
GalinKa [24]

Answer:

4g

Step-by-step explanation:

scatter

4 0
2 years ago
Two walls have the same area. The first wall is in the shape of a square and has a height
STatiana [176]

Answer:

27 feet

Step-by-step explanation:

Two walls have same area

Area of first wall(square) = 18*18 = 324

Area of second wall = 12 * x = 324

324/12 = 27

27 feet

7 0
2 years ago
You made a deal with Ms.Williams to read 100 pages every night. You know that it takes you 32 minutes to read 16 pages. How long
AnnyKZ [126]
Put the problem into a proportion to make it easier to solve.

32        x
      =
16       100

You can use cross products to simplify this proportion.  Multiply 32 by 100, and set that number equal to 16 *x.  

Your equation should now look like this
3200=16x

You are trying to get the variable alone on one side, so you should divide both sides by 16.

If this is performed correctly, then your final answer should be 

x=200.

It will take you 200 minutes (3 hours 20 mins) to read the pages that you promised Ms. Williams

5 0
3 years ago
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
Write a prime factorization of 675 using exponents
Sunny_sXe [5.5K]
675
15*45
3*5  5*9
             3*3
3^3*5^2=675

8 0
3 years ago
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