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timama [110]
3 years ago
15

The staff of the Westport public library signed up 6 volunteers in the last 21 days. If the library staff continues to sign up v

olunteers at this rate, how many new volunteers will they get in the next 7-day week?
Mathematics
1 answer:
Andre45 [30]3 years ago
4 0
Both 6 and 21 are divisive by 3 so each 7 day week the library hires 2 people.
answer is 2
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What is an equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 ?
Natali5045456 [20]

Answer:

The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is

6x+y=-5

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( -2 , 7)

To Find:  

Equation of Line  that passes through the point (-2,7) and is perpendicular to the line x-6y=42=?  

Solution:  

x-6y=42    ..................Given

which can be written as

y=mx+c

Where m is the slope of the line

∴ y=\dfrac{x}{6}-7

On Comparing we get

Slope = m = \dfrac{1}{6}

The Required line is Perpendicular to the above line.

So,

Product of slopes = - 1

m\times m_{1}=-1\\Substituting\ m\\ \dfrac{1}{6} m_{1}=-1\\\\m_{1}=-6

Slope of the required line is -6

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,  

i.e equation in point - slope form

(y-y_{1})=m(x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2, 7) and slope = -6 we get

(y-7)=-6(x--2)=-6(x+2)=-6x-12\\\\\therefore 6x+y=-5.......is\ the required\ equation\ of\ the\ line

The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is

6x+y=-5

3 0
3 years ago
2/5 in Fraction form?
hram777 [196]

Answer:

2/5 is fraction form.

0.4 is decimal form btw.

5 0
2 years ago
Kendra earns $70 per week mowing lawns. She saves 60% of the money she earns each week. How many weeks will it take Kendra to sa
katrin [286]

Answer:

5 weeks

Step-by-step explanation:

Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.

To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60

Now that we have the decimal form of the percent we can multiply it by the 70 to find how much she saves a week:

(70)(.6) = 42

Therefore, Kendra saves $42 each week.

To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42. Like this:

(210)/(42) = 5

All in all, it will take Kendra 5 weeks to save enough money to buy a game system that costs $210.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

<em />

4 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle
Dovator [93]

Answer:

243 in²

Step-by-step explanation:

Step 1. Calculate the<em> base and height </em>of the rectangle

We have two conditions:

(1)   2b+ 2h = 72 in

(2)           b = 3h               Substitute in (1)

2(3h) + 2h = 72               Remove parentheses

   6h + 2h = 72               Combine like terms

           8h = 72               Divide by 6

             h = 9 in             Substitute in(2)

             b = 3 × 9

             b = 27 in

Step 2. Calculate the area of the rectangle

A = bh

A = 27 × 9

A = 243 in²

The area of the rectangle is 243 in².

7 0
3 years ago
Who is faster The Flash or Quicksilver?<br><br><br><br> I want a source to back up your answer
nikdorinn [45]

Answer:

The flash.

Step-by-step explanation:

He used to max out at Mach 1. Since crossover events are exceedingly rare, it is safe to assume that if you were comparing their speeds, the Flash is <u><em>consistently</em></u> faster than Quicksilver, though operationally speaking both could be consider comparable since their feats tend to be done at the same overall speed.

3 0
3 years ago
Read 2 more answers
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