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4 years ago

Simplify 7 - 2(5 - 2x)

Mathematics

2 answers:

d1i1m1o1n [39]4 years ago

8 0

4x - 3 is the simplified equation

levacccp [35]4 years ago

8 0

The correct answer is 4x-3

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Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an eq

ziro4ka [17]

The fraction which produce an equivalent fraction with a rational denominator is $\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)$

Explanation:

The equation is $\frac{3}{\sqrt{17}-\sqrt{2}}$

To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.

Rewriting the equation, we have,

$\frac{3}{\sqrt{17}-\sqrt{2}}\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)$

Multiplying, we get,

$\frac{3(\sqrt{17}+\sqrt{2})}{(\sqrt{17})^{2}-(\sqrt{2})^{2}}$

Simplifying the denominator, we get,

$\frac{3(\sqrt{17}+\sqrt{2})}{17-2}$

Subtracting, the values of denominator,

$\frac{3(\sqrt{17}+\sqrt{2})}{15}$

Dividing the numerator and denominator,

$\frac{\sqrt{17}+\sqrt{2}}{5}$

Hence, the denominator has become a rational denominator.

Thus, the fraction which produce an equivalent fraction with a rational denominator is $\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)$

6 0

3 years ago

Read 2 more answers

Gabriel invests $9600 in two different accounts. The first account paid 13 %, the second account paid 6 % in interest. At the en

NeX [460]

Answer:The principal for the first account is $5000

The principal for second account is $4600

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P = principal

T = time in years

R = interest rate on the principal.

Let x represent the amount invested in the first account

Let y represent the amount invested in the second account

Gabriel invests $9600 in two different accounts. This means that

x + y = 9600 - - - - - - - -1

For first account, The interest rate is 13%. The duration is one year.

Therefore

P = x

T = 1 year

R = 13%

Therefore

I = (x × 13 × 1)/100

I = 0.13x

For second account, he interest rate is 6%. The duration is one year.

Let y represent the principal for the second account. Therefore

P = y

T = 1 year

R = 6

Therefore

I = (y × 6 × 1)/100

I = 0.06y

At the end of the first year he had earned $926 in interest. This means that

0.13x + 0.06y = 926 - - - - - - - -2

Substituting x = 9600 - y into equation 2, it becomes

0.13(9600 - y) + 0.06y = 926

1248 - 0.13y + 0.06y = 926

- 0.13y + 0.06y = 926 - 1248

- 0.07y = -322

y = - 322/- 0.07 = 4600

x = 9600 - y

x = 9600 - 4600

x = 5000

8 0

4 years ago

What is the ans and pls explain

prohojiy [21]

The answer is a happy to help

8 0

3 years ago

PLZ HELP ME!!!!!!!!!

Nuetrik [128]

4 is the answer good sir

6 0

3 years ago

Candy and Tim share a paper route. It takes Candy 85 min to deliver all the papers, and it takes Tim 65 min. How long does it ta

RSB [31]

Answer:

The time required to finish the work by both candy and Tim working together = 36.83 minute

Step-by-step explanation:

Time taken by the candy to finish the work $T_{1}$ = 85 min

Time taken by the Tim to finish the work $T_{2}$ = 65 min

Thus the time taken by both to finish the work = $\frac{T_1 \times\ T_2}{T_1 + T_2}$

Put the values of $T_{1}$ and $T_{2}$ we get ,

$T_{}$ = $\frac{85 \times\ 65}{85 + 65}$

$T_{}$ = $\frac{221}{6}$

$T_{}$ = 36.83 minute

Thus the time required to finish the work by both candy and Tim working together = 36.83 minute

3 0

3 years ago