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3 years ago

Y-3z for pre algebra

Mathematics

1 answer:

Elza [17]3 years ago

4 0

Answer:

please I don't understand the questions

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Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less

Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0

3 years ago

Use the given data to find the best predicted value of the response variable. Ten pairs of data yield requals0.003 and the regre

Arada [10]

Answer:

$\hat y=3(2) +2=8$

Step-by-step explanation:

Data given

r=0.003 represent the correlation coefficient

$bar y =5$ represent the sample mean for the y observations

Solution to the problem

We assume that they use least squares in order to find the best regression model. The slope is given by the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

And the slope on this case is:

$m=3$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=5$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x=5-(3*\bar x)=2$

So the line would be given by:

$\hat y=3x +2$

And the best predicted value for x=2 would be:

$\hat y=3(2) +2=8$

3 0

3 years ago

How many zlotters will the computer show for the cost of Mary's soft drink?

nata0808 [166]

Answer:

33 ziotters

Step-by-step explanation:

pizza 45 ziotters = 4x8+5 = 37 on Earth

Total 100 ziotters = 8x8 = 64 on Earth

so, Soft drink

=64 -37 = 27 on Earth

27 = 8x3 + 3 = 33 ziotters

7 0

4 years ago

Pleaseeee help with BIO??

Tems11 [23]

1. Positive

2. Positive

3. Negative

4. Positive

5. Negative

3 0

3 years ago

Order the numbers 0.3, 2/5, -0.85, 0.09, 3/4, 3/20 least to greatest

Andrews [41]

Answer:

-0.85, 0.09, 3/20, 0.3, 2/5, 3/4

Step-by-step explanation:

Turn all the fractions into decimals

2/5 -> .4

3/4 -> .75

3/20 -> .15

Then order them

-.85, 0.09, 0.15, 0.3, 0.4, 0.75

7 0

3 years ago