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andreyandreev [35.5K]

3 years ago

9

In a bag of oranges, the ratio of the good ones to the bad ones is 5:4. If the number of bad ones in the bag is 36, how many ora

nges are there altogether?

1 answer:

Advocard [28]3 years ago

5 0

5x - good ones

4x - bad ones

$4x=36\\
x=9\\\\
5x=5\cdot9=45\\\\
45+36=81$

<u>81</u>

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Answer:

The equation of line 3 is;

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Step-by-step explanation:

Line 1 passes through the points A(-15,-8) andn B(-3,0)

Line 2 has equation shown below;

5x - 3y + 18 = 0

Line 3 is parallel to line 1 and has the same y-intercept as line 2.

We are to determine the equation of line 3.

<u>Equation of line 1:</u>

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Slope = change in y-axis ÷ change in x-axis

The slope of line 1 = $\frac{0 - -8}{-3 - -15} = \frac{8}{12} = \frac{2}{3}$

Picking another point (x,y) on the line;

Slope = $\frac{y - 0}{x - -3} = \frac{2}{3}$

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<u>Equation of line 2:</u>

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We put the equation given, of line 2, in the cartesian plane format;

3y = 5x + 18

y = $\frac{5}{3} x$ + 6

Finally, the equation of line 2 is;

y = 1 $\frac{2}{3} x$ + 6

<u>Equation of line 3:</u>

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Given: Line 3 is parallel to line 1

The slopes of two parallel lines are the same so line 3 has a slope of $\frac{2}{3}$

Given: Line 3 has the same y-intercept as line 2

The y-intecept of line 2 is 6 (y-intercept is the value of y when x = 0)

So the equation of line 3 is;

y = $\frac{2}{3} x$ + 6

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Step-by-step explanation:

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The amount of lateral expansion (mils) was determined for a sample of n = 8 pulsed-power gas metal arc welds used in LNG ship co

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Answer:

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$3.6511\leq \sigma^2\leq 34.5972$

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Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

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Then, the confidence interval can be calculated as:

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