your order comes in for new protective eye wear. you order five and a half dozen. how many individual protective eye wear should you have recieved

Answers

Answer 1

Answer: You should have received 33 pairs of protective eyewear

To Check This:
1 dozen = 12
1/2 dozen = 6
5 dozen = 60

12x5=60+6=66
66 / 2 = 33 because a pair equals 2

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Find the slope and y-intercept of the line.
14x + 4y = 24

Answers

14x+4y=24
4y=-14x+24
y=-7/2x+6
The slope is -7/2 and the y-intercept is 6.

y= 14/4x + 6 is the slope.. the slope itslef being 14/4 and the y intercept is 6

Given A(2, 3), B(8, 7), C(6, 1), which coordinate will make line AB perpendicular to line CD?D(9, 3)
D(4, 4)
D(3, 3)
D(8, 4)

Answers

Answer:

The correct option is;

D(4, 4)

Step-by-step explanation:

The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB

The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)

$Slope, \, m =(y_(2)-y_(1))/(x_(2)-x_(1))$

Therefore, for, the segment AB, we have;

m = (7 - 3)/(8 - 2) = 4/6 = 2/3

m = 2/3

Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2

The equation of the segment CD in point and slope form is therefore;

y - 1 = -3/2×(x - 6)

y - 1 = -3·x/2 + 9

The standard form of the equation of the segment CD is therefore;

y = -3·x/2 + 9 + 1 = -3·x/2 + 10

y = -3·x/2 + 10

The point that satisfies the above equation is the point (4, 4) because;

4 = -3 × 4/2 + 10

The correct option is therefore, D(4, 4).

If the weights of 1,000 adult men in a county are plotted on a histogram, which curve is most likely to fit the histogram?

Answers

The correct answer for the question that is being presented above is this one: "C. a bell-shaped curve, better known as a normal distribution." If the weights of 1,000 adult men in a county are plotted on a histogram, the curve will most probably be a bell-shaped curve, better known as a normal distribution.

Here are the following choices:
A. a U-shaped curve, better known as a normal distribution
B. a star-shaped curve, better known as a normal distribution
C. a bell-shaped curve, better known as a normal distribution
D. a bell-shaped curve, known as an exponential distribution

Answer: C) a bell-shaped curve, better known as a normal distribution

Step-by-step explanation:plato only

Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

Answers

Answer:

y = $(1)/(2)$ x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_(perpendicular)$ = - $(1)/(m)$ = - $(1)/(-2)$ = $(1)/(2)$

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = $(1)/(2)$ x + 1 ← equation of perpendicular line

You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your office but in different cities with different tax rates. One city has a tax rate of 7% and the other has a tax rate of 8.5%.What percent can you save by going with the lower tax rate?

Answers

We are given two stores to select and this stores are located in the same distance but of different cities of different tax rates. One city has a tax rate of 7% and the other city has a 8.5%. in order to save, you need to choose a lower tax rate which is 7%. This saves you 1.5% as compared 8.5% of other city

Answer:

The percentage saved is 1.5% .

Step-by-step explanation:

As given

You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your office but in different cities with different tax rates.

One city has a tax rate of 7% and the other has a tax rate of 8.5%.

7% is written in the decimal form .

$= (7)/(100)$