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3 years ago

Please show your work

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

8 0

Answer:

x=8

y=13

Step-by-step explanation:

This shape is a parallelogram, and in a parallelogram, the diagonals bisect eachother. So then, you can write to equations:

2x=y+3

x+5=y

This is equal to:

2x-y=3

x-y=-5

Then, you can subtract the two equations, making it:

2x-y=3

-x+y=5

Then the result will be:

x=8

Now that we know what x is, you can find y by plugging it in to either equation.

8-y=-5

-y=-13

y=13

Hope this was helpful!

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100 Points last one i promise! helpp!

Marrrta [24]

Answer:

$40.35

Step-by-step explanation:

First, solve for the sales price. Change the percentage into a decimal:

60% = 60/100 = 0.60

Next, multiply 0.60 with the original price, 97:

97 x 0.60 = 58.2

Subtract 58.2 from the original price:

97 - 58.2 = 38.8

Now, change the tax percentage into a decimal.

4% = 4/100 = 0.04

Multiply 0.04 with the sales price:

38.8 x 0.04 = 1.552

Add the sales price (rounded to nearest hundredth) to the sales price:

1.55 + 38.8 = 40.35

$40.35 is your answer.

3 0

3 years ago

Read 2 more answers

The lengths of a particular snake are approximately normally distributed with a given mean mc025-1.jpg = 15 in. and standard dev

Vedmedyk [2.9K]

Answer:

2.5% of the snakes are longer than 16.6 in

Step-by-step explanation:

The Z score is,

$Z=\dfrac{X-\mu}{\sigma}$

here,

X = raw score = 16.6

μ = mean = 15

σ = standard deviation = 0.8

So,

$Z=\dfrac{16.6-15}{0.8}=2$

Z-score is the measurement of how many standard deviation away the data is from the mean. Hence, the value 16.6 is 2 standard deviations right to the mean.

Approximately 95% of the data falls within two standard deviations of the mean. (between the mean-2 times the standard deviation, and the mean+2 times the standard deviation)

So the 5% of data are left in the remaining space. As we have to find the amount of snakes which are longer than 16.6 in i.e we have to find the area to the right of 16.6.

The remaining 5% of amount is divided in two equal parts.

Therefore, $\dfrac{5}{2}=2.5\%$ of the snakes are longer than 16.6 in