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Cloud [144]
3 years ago
12

30 POINTS! NEED HELP ASAP

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
1. Answer: 15.7143

log (7x-10)=2

Use the identity: loga(x)=b = x=(a)(b)

7x-10=10^2

Evaluate the Power

7x-10=100

Addition Property of Equality

7x=110

Division Property of Equality

x=110/7 or 15.7143

2. Answer: 0.3107

log(3)+log(x^-3)=2
log(3x^-3)=2
log(3 x 1/x^3)=2
log(3/x^3)=2
3/x^3=10^2
3/x^3=100
3=100x^3
3/100=x^3
Answer Cube root 30 / 10 or 0.3107


3. Answer: 0.002

log(5) + log(x) = -2
log(5x)= -2
5x= 10^-2
5x=1/10^2
5x=1/100
x=1/500

Answer: 0.002

Honestly I could tell you the steps, but I do not have a lot of time. Sorry. I will comment later if you need the steps


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The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th
damaskus [11]

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

6 0
3 years ago
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
neonofarm [45]

Answer:

270 cm^2

Step-by-step explanation:

This is quite easy.

There is formula for it, the formula is bh/2

b= is the base or side that the triangle's altitude or height is perpendicular to.

h= is the height of the triangle or the altitude of the triangle.

I can always like to thing that a triangle is like half of a rectangle because the area for a rectangle is bh, but in a triangle it is half the bh.

b= 30

h=18

Now substitute the values in the formula

30(18)/2

30 times 18 = 540

divide the product by 2

540/2 = 270

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Answer:

Its better to buy this week because it is cheaper with using coupon.

Step-by-step explanation:

140 x 0.85 = 119

125 > 119

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A$250 suit is marked down by 30%. Find the sale price,
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Answer:

175 is the answer the percentage is 75

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