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3 years ago

What is y=\dfrac{2}{3}x+4y=

Mathematics

1 answer:

lara [203]3 years ago

5 0

Answer:

$12y+x-12=0$

Step-by-step explanation:

If I'm not mistaken by the question, we have

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

Multiply through by the LCM of all the denominators to clear the fractions. Since we have only one fraction, we multiply through by its LCM (3)

$3\timesx+3\times4y=3\times\dfrac{2}{3}x+3\times4$

$3x+12y=2x+12$

Putting all terms on the LHS (left hand side) and evaluating,

$12y+x-12=0$

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Find the area of this parallelogram

IgorLugansk [536]

Answer:

Area of parallelogram= base × perpendicular height

base= 20cm height= 13

Area= 20cm×13cm

Area= 260cm²

Therefore the area of the parallelogram is 260cm²

5 0

2 years ago

Suppose a line L has an equation Ax+By+C==0, what is the slope of L if B=0 and A does not equal 0

White raven [17]

If B=0, and A≠0, then
Ax+C=0, or x=-C/A, a constant value.
This signifies L is a vertical line with slope ∞

8 0

3 years ago

Evaluate and simplify the following complex fraction.:6/7 ÷ 3/11

inna [77]

Answer:

3 7/50

Step-by-step explanation:

so you need them to become common denominators

a common multiple they both have would be is 77

6/7 becomes 66/77 and 3/11 becomes 21/77

now we divide

keep the 66/77 as is and flip 21/77 (keep, change, flip)

so now our equation looks like this: 66/77 x 77/21

and your answer is 3.14

but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)

3 0

2 years ago

In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th

deff fn [24]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

The sample size is n = 64

The average price is $\= x = \$ 112$

The population standard deviation is $\sigma = \$ 16$

The level of significance is $\alpha = 0.05$

The population mean is $\mu = \$ 108.5$

The null hypothesis is $H_o : \mu = 108.50$

The alternative hypothesis is $H_a : \mu \ne 108.50$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }$

=> $z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }$

=> $z = 1.75$

From the z table the area under the normal curve to the left corresponding to 1.75 is

$P( Z > 1.75) = 0.040059$

Generally p-value is mathematically represented as

$p-value = 2 * P( Z > 1.75)$

=> $p-value = 2 * 0.040059$

=> $p-value = 0.08012$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the average room price is significantly different from $108.50

3 0

2 years ago

Karen walked 3.5 miles to her friends house. She wants to express this distance in feet. Write a proportion to find the number o

nata0808 [166]

Step-by-step explanation:

1 mile=5280 feet

2 miles=10560 feet

3 miles=15840 feet

3.5 miles=18480 feet

Answer:

3.5 miles= x

4 0

2 years ago