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3 years ago

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If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain yo

ur reasoning.

1 answer:

kirza4 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

11 bakers makes 89 pretzels in 2.5 hours

11 bakers makes 35.6 pretzels in 1 hour

1 baker makes 3.23636 pretzels in 1 hour

so, 5.75 bakers in 1.5 hours at 3/23636 pretzels per hour will make....

5.75* 1.5 * 3.23636 = 27.9136 pretzels

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What is true about ABC? Check all that apply.

Ira Lisetskai [31]

In the given triangle , Coordinates of A (-1,3) , B (-5,-1), C (3,-1).

Let's find the slope of AB and AC .

Formula of slope is

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}$

For AB, slope is,

$m = \frac{-1-3}{-5+1} = \frac{-4}{-4} =1$

And slope of AC is

$\frac{-1-3}{3+1} = \frac{-4}{4} = -1$

Product of the slopes of AB and AC is

$= 1* (-1) =-1$

Since the product of the two slopes is -1, so AB and AC are perpendicular.

And if they are perpendicular, angle BAC is 90 degree, so the triangle is right triangle .

Now we check the length of the sides of the triangle, and for that we use distance formula , which is

$d = \sqrt{ (x_{2} - x_{1} )^2 + (y_{2} - y_{1} )^2}$

So for AB,

$AB = \sqrt{ (-3-1)^2 + (-5+1)^2} = \sqrt{32} = 4 \sqrt 2$

For AC,

$AC = \sqrt{ (-1-3)^2 + (3+1)^2 } =\sqrt{32} = 4 \sqrt 2$

For BC,

$\sqrt{(-1+1)^2 + (3+5)^2 } = 8$

And since two sides are equal, so the triangle is isosceles triangle .

8 0

3 years ago

Read 2 more answers

Which is the angle of depression from the boat to the submarine?

kakasveta [241]

We know that

<span>If the slope of the angle from the vertex is positive, then it is an angle of elevation.</span>

<span>If the slope of the angle from the vertex is negative, then it is an angle of depression.</span>

The angle of elevation is congruent to the angle of depression because they are alternate interior angles

in the picture

∠ 1 is the angle of elevation from submarine to the boat

∠2 is the angle of depression from boat to submarine

∠3 is the angle of elevation from boat to the lighthouse

∠4.is the angle of depression from the lighthouse to the boat

therefore

the answer is

∠2 is the angle of depression from boat to submarine

3 0

3 years ago

Addie walked 2 1/2 miles in 45 minutes. Suzie covered 2 2/5 miles in 2/3 of an hour.

N76 [4]

Answer:

Suzie's speed was 3.6 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s ----> the speed in mph (miles per hour)

x ----> the distance in miles

y ----> the time in hours

so

$s=\frac{x}{y}$

Find Suzie's speed

we have

$x=2\frac{2}{5}\ mi$

$y=\frac{2}{3}\ h$

substitute

$s=2\frac{2}{5}:\frac{2}{3}$

Convert mixed number to an improper fraction

$2\frac{2}{5}=2+\frac{2}{5}=\frac{2*5+2}{5}=\frac{12}{5}$

substitute

$s=\frac{12}{5}:\frac{2}{3}=\frac{36}{10}=3.6\ mph$

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3 years ago

The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 28 mm and standard d

Misha Larkins [42]

Answer:

14.69% probability that defect length is at most 20 mm

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 28, \sigma = 7.6$

What is the probability that defect length is at most 20 mm

This is the pvalue of Z when X = 20. So

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

$Z = \frac{20 - 28}{7.6}$

$Z = -1.05$

$Z = -1.05$ has a pvalue of 0.1469

14.69% probability that defect length is at most 20 mm

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4 years ago

Write in slope-intercept form an equation of the line that passes through the points (−4, 2) and (6,−3).

asambeis [7]

Answer:

24,3

Step-by-step explanation:

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3 years ago