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irina [24]
3 years ago
15

What is the solution to the equation log2 (5x - 2) = 3?

Mathematics
1 answer:
Advocard [28]3 years ago
4 0

From log BNE to BEN

X=2

if you want explaination then ask me

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Mylar balloons cost $1.25 each l, and latex balloons cost $0.75 each. What equations can be used to find the number of each type
Anuta_ua [19.1K]
Its a because you will add 1.25 and 0.75 because it says each and of course 18 would be what it equals
4 0
3 years ago
Read 2 more answers
the first term of an arithmetic sequence is 10 and the sum of the first five terms is 250,find the sequence​
Crazy boy [7]

Answer:

The  sequence  is:

10, 30, 50, 70, 90.....................

Step-by-step explanation:

We have,

First term (a) = 10

Common difference (d) = ?

Sum of first 5 terms (S_{5}) = 250

or, \frac{n}{2} [{2a+(n-1)d}] = 250

or, \frac{5}{2} [2*10 + 4d]=250

or, \frac{5}{2} * 4[5+d]=250

or, 10(5 + d) =250

or, 5 + d = 25

∴ d = 20

Now,

2nd term = a + d = 10 + 20 = 30

3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50

4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70

5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90

8 0
3 years ago
Solve the inequality. 6x + 3 > 3x + 30 A) x > 9 B) x > 11 C) x > −9 D) x > −11
ANTONII [103]

Subtract 33 from both sides

6x>3x+30-36x>3x+30−3

 Simplify 3x+30-33x+30−3 to 3x+273x+27

6x>3x+276x>3x+27

 Subtract 3x3x from both sides

6x-3x>276x−3x>27

Simplify 6x-3x6x−3x to 3x3x

3x>273x>27

Divide both sides by 3

3x>\frac{27}{3}x>

​

3x> ​27

​​  

Simplify \frac{27}{3}

​3

​

ANSWER: x>9


6 0
3 years ago
What is the approximate diameter of a tire that will make 775 complete rotations in one mile? (Note: there are 5280 feet
GalinKa [24]

Answer:

About 2.17 feet.

Step-by-step explanation:

Let <em>d</em> represent the diameter of the tire.

Then the circumference of the tire will be:

C=d\pi

So, the tire will travel dπ miles after one rotation.

After 775 rotations, the total miles traveled should be 5280 feet. Thus:

775(d\pi)=5280

Solve for <em>d:</em>

<em />\displaystyle d=\frac{5280}{775\pi}<em />

Approximate:

d=2.1686...\approx2.17

The circumference of the tire should be about 2.17 feet.

5 0
2 years ago
Write an equation perpendicular to x-4y=20 that passes through the point 2,-5
marshall27 [118]

Answer:

  4x +y = 3

Step-by-step explanation:

Perpendicular lines have slopes that are the negative reciprocals of one another. When the equation of the line is written in standard form like this, the equation of the perpendicular line can be written by swapping the x- and y-coefficients and negating one of them. Doing this much would give you ...

  4x +y = (constant)

Note that we have chosen to make the equation read 4x+y, not -4x-y. The reason is that "standard form" requires the leading coefficient to be positive.

Now, you just need to make sure the constant is appropriate for the point you want the line to go through. So, it needs to be ...

  4(2) +(-5) = constant = 3

The line of interest has equation ...

  4x + y = 3

3 0
3 years ago
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