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Pavel [41]
3 years ago
15

Identify the factors in the expression 6 (×+5)

Mathematics
1 answer:
Setler [38]3 years ago
5 0
The factors are 6 and x + 5
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The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the
horrorfan [7]

Answer:

The original fraction is \frac{2}{5}

Step-by-step explanation:

Let the numerator by X

Denominator is three more than its numerator i.e X +3

When both the numerator and denominator are increased by one the fraction becomes 1/2

\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2

Thus, numerator = 2

Denominator = X +3 = 2+3 = 5

The original fraction is \frac{2}{5}

7 0
2 years ago
You deposit the same $10,000 into a bank account at 4% annual interest. How long will it take for the $10,000 to compound to $30
Readme [11.4K]

Answer:

time = 28 years

Step-by-step explanation:

Given,

principal amount = $10,000

rate = 4%

total amount = $30,000

According to compound interest formula

A\ =\ P(1+r)^t

where, A = total amount

            P = principal amount

            r = rate

            t = time in years

so, from the question we can write,

30000\ =\ 10000(1+0.04)^t

=>\ \dfrac{30000}{10000}\ =\ (1+0.04)^t

=>\ 3\ =\ (1.04)^t

by taking log on both sides, we will get

=> log3 = t.log(1.04)

=>\ t\ =\ \dfrac{log3}{log1.04}

=> t = 28.01

So, the time taken to get the amount from 10000 to 30000 is 28 years.

8 0
3 years ago
Evaluate x/y + 3z^2 for x= 2/3, y= 6/7, and z=3
prohojiy [21]

x/y + 3z^2 for x= 2/3, y= 6/7, and z=3

=2/3  /  6/7  + 3(3^2)

=2/3 * 7/6 + 3(9)

= 7/9 + 27

= 7/9 + 243/9

= 250/9

answer is a. 250/9

6 0
3 years ago
Read 2 more answers
Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27. 20 19.5 18 17
Lesechka [4]
A₆ =12

a₇ = ?? = x

a₈ 27

In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18
7 0
3 years ago
What is the result of dividing x3−7 by x + 2?
Leni [432]
Answer :
x^2 -2x + 4 and rest -15

4 0
3 years ago
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