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3 years ago

Three factories build the same widget

Mathematics

1 answer:

Scrat [10]3 years ago

4 0

Answer:

its C because I did the math

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The staff of the Westport Public Library signed up 6 volunteers in the last 21 days. If the library staff continues to sing up v

alisha [4.7K]

We would find the unit rate. Volunteers per week
So:
6/3 = 2 volunteers per week

4 0

3 years ago

The equations of three lines are given below. Line 1: y = - 3/4 x + 3 Line 2/8 x - 6y = 2 Line 3/- 3y = 4x + 7 For each pair of

Maru [420]

Answer:

No parallel lines

Lines 1 and 3 are perpendicular

Step-by-step explanation:

Given:

$Line\ 1:y = -\frac{3}{4}x + 3$

$Line\ 2: \frac{2}{8}x -6y = 2$

$Line\ 3: 3y = 4x + 7$

Required

Determine if they are parallel, perpendicular or not

The slope intercept of a line has the form:

$y = mx + b$

Where

$m = slope$

First, we calculate the slope of each lines

$Line\ 1:y = -\frac{3}{4}x + 3$

Compare the above to $y = mx + b$

$m_1 = -\frac{3}{4}$

$Line\ 2: \frac{2}{8}x -6y = 2$

$\frac{2}{8}x -6y = 2$

Make -6y the subject

$-6y = 2 - \frac{2}{8}x$

Divide through by -6

$y = -\frac{2}{6} + \frac{2}{8*6}x$

$y = -\frac{1}{3} + \frac{1}{8*3}x$

$y = -\frac{1}{3} + \frac{1}{24}x$

$y = \frac{1}{24}x-\frac{1}{3}$

Compare the above to $y = mx + b$

$m_2 = \frac{1}{24}$

$Line\ 3: 3y = 4x + 7$

$3y = 4x + 7$

Divide through by 3

$y = \frac{4}{3}x + \frac{7}{3}$

Compare the above to $y = mx + b$

$m_3 = \frac{4}{3}$

So, we have:

$m_1 = -\frac{3}{4}$

$m_2 = \frac{1}{24}$

$m_3 = \frac{4}{3}$

None of the slopes are the same, so none of the lines are parallel.

However, lines 1 and 3 are perpendicular.

This is shown below

When the slope of two lines satisfy the following condition, then they are perpendicular.

$m_1 = -\frac{1}{m_3}$

This gives:

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

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

Convert / to *

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

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

3 0

3 years ago

True or False

marishachu [46]

True. A relation just pairs two sets. An object in the first set can relate to more than one in the second.

4 0

4 years ago

Solve for X round to 2 decimal place

Ivan

Answer:

55.93°

Step-by-step explanation:

In this problem, we need to find the cos ratio of x, the ratio of the adjacent side of x to the hypotenuse.

The adjacent side of x is 14 and the hypotenuse is 25.

cos x=14/25=0.56=cos 55.93°

7 0

3 years ago

IF ONE OF YOU ANSWERS THIS QUESTION RIGHT AND IN A VARY DETAILED WAY I WILL MARK YOU AS BRAINIEST +I WILL THANKYOU. how can y

vlabodo [156]

All of my teachers have told me that everyone remembers things best in groups of seven. so I would suggest to pick a continent and start in a corner and spend a couple of days studying seven countries in that area. also quiz your self every once in a while for extra help.
I hope this helps you

8 0

3 years ago