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1 year ago

Soil sells for 8 1/4 cents per pound. How much would you save if you bought a 100- pound sack for $7.45?

Mathematics

1 answer:

asambeis [7]1 year ago

4 0

Answer:

$0.80

Step-by-step explanation:

If the 100 pounds was bought separately (of course in real life you will probably not)

= 100 pounds x $0.0825/pound

= $8.25

As you can see it will cost more than if you buy a 100 pound sack.

Cost Difference = $8.25 - $7.45 = $0.80

That means you will save $0.80 from it.

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A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and s

mojhsa [17]

Answer:

about 16°

Step-by-step explanation:

Make sure your calculator is in degree mode.

Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:

$\tan( \alpha ) = \frac{34}{122}$

$\alpha = { \tan }^{ - 1} \frac{34}{122} = 15.57$

3 0

2 years ago

57:22 5 What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the po

steposvetlana [31]

Answer:

C. y + 3 = ¼(x + 4)

Step-by-step explanation:

✔️Find the slope of the given line:

Slope = ∆y/∆x = -(4/1) = -4

The line that is perpendicular to the given line on the graph would have a slope that is the negative reciprocal of -4.

Thus, the slope of the line that is perpendicular to the line on the graph would be ¼.

m = ¼.

Since the line passes through (-4, -3), to write the equation in point-slope form, substitute a = -4, b = -3, and m = ¼ into y - b = m(x - a)

Thus:

y - (-3) = ¼(x - (-4))

y + 3 = ¼(x + 4)

7 0

3 years ago

A college student with a bachelors degree in nursing from an accredited institution has an 86.74% chance of getting hired full t

Vladimir79 [104]

Answer:

86.74% probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

Compute the probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.

In this problem, we have that:

Event A: Completing their degree there.

There is a 34.72% chance of a student interested in a nursing degree not making it through the program.

So 100 - 34.72% = 65.28% = 0.6528 probability of completing their degree. So P(A) = 0.6528.

Event B: Getting hired

86.74% chance of getting hired full time in a hospital setting within 6 months of graduation.

Completing their degree and getting hired:

$P(A \cap B) = 0.6528*0.8674$

Probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.6528*0.8674}{0.6528} = 0.8674$

86.74% probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.

5 0

3 years ago

I am very confused plz help

prohojiy [21]

Answer:

a 26

b 8 2/3

Step-by-step explanation:

a) 4 1/3 * 6

Change the mixed number to an improper fraction

(3*4+1)/3 *6

13/3 *6

= 78/3

= 26

b) 2 3/5 * 3 1/3

Change the mixed numbers to improper fractions

(5*2+3)/5 * (3*3+1)/3

13/5 * 10/3

130/15

Top and bottom divide by 5

26/3

Change back to a mixed number

3 goes into 26 8 times (3*8 =24) with 2 left over

8 2/3

6 0

2 years ago

What is the equation of the line x–3y=18 in slope-intercept form?

olya-2409 [2.1K]

Solve the equation for y

x-3y= -18

-3y = -18-x

now, divide both sides with -3

y = (-18-x)/-3

y = 6 +x/3

your slope is 1/3

and y-intercept is 6

4 0

2 years ago