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3 years ago

Solve the simultaneous equation 2x-5y=9 3x+4y=2

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

5 0

Answer/Step-by-step explanation:

2x-5y=9

Add 5y to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

$\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}$

Cancel the common factor of 2.

Divide x by 1.

$x=\frac{9}{2} +\frac{5y}{2}$

$y=\frac{-9}{5} +\frac{2x}{5}$

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3x+4y=2

Add 4y to both sides of the equation

3x=2+4y

Divide each term by 3 and simplify.

Divide each term in 3x=2+4y by 3.

$\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}$

Cancel the common factor of 3.

Divide x by 1.

$x=\frac{2}{3} +\frac{4y}{3}$

$y=\frac{-1}{2} +\frac{3x}{4}$

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Green Fencing Company will install the fence

LUCKY_DIMON [66]

The company would charge $837.50 to build the fence.

Installing a fence would cost $62.50 per hour.

It will take 13²/₅ hours to install this fence.

The cost would be:

= Cost per hour x Number of hours taken

Number of hours it would take should be converted to improper fraction to be multiplied:

13²/₅ = 67/5 hours

Cost is:

= 62.50 x 67/5

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3 0

3 years ago

What proportion of a normal distribution corresponds to z scores greater than 1.04?

Tom [10]

We would need to look over the z table to find the area under the standard normal distribution curve to the left of z = 1.04. Then we'll subtract it from 1 to get the proportion of a normal distribution corresponding to z scores greater than 1.04.
By looking at the z table, we can see that the area to the left of z = 1.04 is 0.8508. So the proportion of a normal distribution to the right of z = 1.04 is 1 – 0.8508 = 0.1492.

The answer is 0.1492.

7 0

3 years ago

Read 2 more answers

We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.

Vladimir [108]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: