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VARVARA [1.3K]
3 years ago
9

3. If 4 is subtracted from twice a number the result is 10 less than the number

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0

3.

2x - 4 = 10

<em><u>Add 4 to both sides.</u></em>

2x = 14

<em><u>Divide both sides by 2.</u></em>

<u>x = 7</u>

4.

3(x/2) = x/4

<em><u>Distributive property.</u></em>

3x/2 = x/4

<em><u>Convert denominators to a common number.</u></em>

6x/4 = x/4

<em><u>Multiply both sides by 4.</u></em>

6x = x

<em><u>Subtract x from both sides.</u></em>

5x = 0

<em><u>Divide both sides by 5.</u></em>

x = 0

This equation is equal to 0.

5.

3(n + 2) = n - 5

<em><u>Distributive property.</u></em>

3n + 6 = n - 5

<em><u>Subtract n from both sides.</u></em>

2n + 6 = -5

<em><u>Subtract 6 from both sides.</u></em>

2n = -11

<em><u>Divide both sides by 2.</u></em>

n = -5.5

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Write the interval of points that are less than -4
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Answer:

(-4,-∞)

Step-by-step explanation:

I think this is what you mean

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3 years ago
If P(n) and Q(n) are polynomials of degree j and k, respectively, then the series
Naya [18.7K]

Answer:

converges

Step-by-step explanation:

well the two polynomials in the series are 1 and n^8 (I'm assuming the +7 is not in the decimal but it seems to not matter). The degree of the polynomial 1 is 0 which can be represented by 1x^0. The second polynomial in the denominator has a degree of 8. So j = 0  and k = 8. Since 0 < (8-1)

0 < 7 the series converges

6 0
1 year ago
Tammy borrowed $5000 at a rate of 12% compounded monthly. Assuming she makes no payments, how much will she owe after 9 years?
Dominik [7]

Answer:

$14,644.63

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time </em>

<em />

First change 12% into a decimal:

12% -> \frac{12}{100} -> 0.12

Lets plug in the values:

A=5,000(1+\frac{0.12}{12})^{9(12)}

A=14,644.63

Tammy will own $14,644.63 after 8 years,

5 0
3 years ago
HELP QUICK
noname [10]

Answer:

84ft

Step-by-step explanation:

w = 2/3(L)

if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet

perimeter = 2L + 2W

but W=2/3(L)

therefore, perimeter = 2L + 2(2/3L)

P= 2L + 4/3(L)

P= 10/3(L)

but P= 280

therefore 280= 10/3(L)

L = (3×280)÷10

L= 84 feet

8 0
3 years ago
Two radios equivalent to 3/12
gtnhenbr [62]

1:4 and 6:24 because 3/3=1 and 12/3=4 and 6/2=3 and 24/2=12

3 0
2 years ago
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