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zhannawk [14.2K]
2 years ago
15

Please condense and/or solve and show work. log8(x+1)-log base 8 of x=log base 8 of 7

Mathematics
1 answer:
ra1l [238]2 years ago
5 0

Answer:

x=1/6

Step-by-step explanation:

since the base is the same, condense the equation

from log m base a=log n base n, m=n

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Raj polled 100 students in his class to compare the number of hours that teen boys and girls played video games each week. The r
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I think the answer would be C
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Find the four arthmetic means between -3 and 46
Citrus2011 [14]

Answer:

6.8, 16.6, 26.4, 36.2

Step-by-step explanation:

Let's write the sequence, d is the common difference:

- 3, - 3 + d, - 3 + 2d, -3 + 3d, - 3 + 4d, 46

Therefore 46 = -3 + 5d

5d = 49

d = 49/5 = 9.8

So the first arithmetic mean is  -3 + 9.8 = 6.8.  and the second is -3 + 2(9.8) = 16.6...

They are:

6.8, 16.6, 26.4, 36.2.

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2 years ago
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last week at a festival, a man sold 3 times as many tie-dyed T shirts as silk screened shirts. He sold 168 shirts altogether. Ho
jonny [76]
Ratios shall be used
Selling 3x as many tie-dyed as silk is the equivalent of ratio 3:1 (Three tie dies for 1 silk)
Add up the total numbers in the ratio (By that I mean 3 + 1) to get 4
Divide the total number sold by 4 to get 42
Multiply 42 by 3 (The number of tie dyes sold in the ratio) to get 126
126 tie-dyed shirts were sold
6 0
3 years ago
Coach purchased footballs and basketballs from two different stores.
Serjik [45]

Answer:

  • $6.25

Step-by-step explanation:

Let football cost be f and basketball cost be b

<u>We have two equations as per given:</u>

  • 5f + 14b = 110
  • 10f + 6b = 82.50

We need to find b, therefore we'll eliminate f

<u>To do so we'll double the first equation and subtract the second one:</u>

  • 2(5f + 14b) - (10f + 6b) = 2(110) - 82.50
  • 28b - 6b = 220 - 82.50
  • 22b = 137.5
  • b = 137.5/22
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Each basketball costs $6.25

4 0
3 years ago
To help with her retirement savings, Donna has decided to invest. Assuming an interest rate of 3.59% compounded quarterly, how m
cricket20 [7]

Answer:

We get the value of Principal amount i.e initial investment = $61640

Step-by-step explanation:

Interest rate r = 3.59% or 0.0359

Compounded quarterly n = 4

Future Amount A = 117,300

Time t = 18 years

We need to find initial investment i,e Principal Amount P

The formula used is: A=P(1+\frac{r}{n})^{nt}

Putting values and finding P

A=P(1+\frac{r}{n})^{nt}\\117300=P(1+\frac{0.0359}{4})^{4*18} \\117300=P(1+0.008975)^{72}\\117300=P(1.008975)^{72}\\117300=P(1.903)\\P=\frac{117300}{1.903}\\P=61640

So, We get the value of Principal amount i.e initial investment = $61640

7 0
2 years ago
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