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Oliga [24]
3 years ago
10

6-2x=y 14+3x=y plzzz helllllllllllllllp

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

(- \frac{8}{5}, \frac{46}{5} )

Step-by-step explanation:

Given the2 equations

6 - 2x = y → (1)

14 + 3x = y → (2)

Substitute y = 14 + 3x into (1)

6 - 2x = 14 + 3x ( subtract 3x from both sides )

6 - 5x = 14 ( subtract 6 from both sides )

- 5x = 8 ( divide both sides by - 5 )

x = - \frac{8}{5}

Substitute x = - \frac{8}{5} into either of the 2 equations for the corresponding value of y

Substituting into (1)

y = 6 - 2(- \frac{8}{5} ) = \frac{30}{5} + \frac{16}{5} = \frac{46}{5}

solution is ( - \frac{8}{5}, \frac{46}{5} )

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A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.24?
Evgen [1.6K]

Answer:

it would be a 4% sales tax

Step-by-step explanation:

6.24

-6.00

.24/6 (amount of dollars divided by the total tax)

.04 or 4%

5 0
3 years ago
Kaitlin has been given a list of bands and asked to place a vote. Her vote must have the names of her favorite and second favori
umka2103 [35]

Complete question :

Kaitlin has been given a list of 5 bands and asked to place a vote. Her vote must have the names of her favorite and second favorite bands from the list. How many different votes are possible?

Answer:

20 different votes

Step-by-step explanation:

Total number of bands = 5

To select her favorite ; she chooses 1 from the five ;

Number of bands left = 4

From. The 4 she chooses one ; which is her second favorite

Number of different votes possible :

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(5 * 4) = 20 different votes.

3 0
3 years ago
I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

5 0
3 years ago
A stockbroker has kept a daily record of the value of a particular stock over the years and finds that prices of the stock form
amid [387]

Answer:

$12.43

Step-by-step explanation:

Given :

Mean = $8.52

Standard deviation, = $2.38

Stock price which falls beyond 0.05 of the distribution is at the 95th percentile

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We obtain the value of x, with z = 1.645

Using the Zscore relation :

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Cross multiply :

1.645 * 2.38 = score - 8.52

3.9151 = score - 8.52

Score = 8.52 + 3.9151

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8 0
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Answer: 1/4 round.

Step-by-step explanation:

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3 0
3 years ago
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