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DiKsa [7]
3 years ago
7

Maxwell earns $99 for every 5.5 hours for work. How much will he earn if he works 30 hours this week (hint: find the unit rate,

then multiply by 30 hours)
Mathematics
1 answer:
kompoz [17]3 years ago
7 0

\bf \begin{array}{ccll} \$&hours\\ \cline{1-2} 99&5.5\\ x&30 \end{array}\implies \cfrac{99}{x}=\cfrac{5.5}{30}\implies 2970=5.5x\implies \cfrac{2970}{5.5}=x\implies 540=x

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 The sum of the measures of the exterior angles of a regular 5-gon, one at each vertex, is __________ the sum of the measures of
SSSSS [86.1K]
The exterior angles of a regular pentagon has a measure of 360-108= 252 degrees

the sum of these exterior angles will be 5*252=1260 degrees 

a regular nonagon (9-gon) has the exterior angles measure of 360 -140 = 220 degrees 

the sum of these exterior angles of a nonagon will be equal 9*220=1980 degrees 

so from these result that 

the sum of the measures of the exterior angles of a regular 5-gon is less than the sum of the measures of the exterior angles of a 9-on 

hope this will help you 
8 0
3 years ago
The length of a rectangle is five times its width.
Marizza181 [45]

ANSWER

96 yd

EXPLANATION

Let the width of the rectangle be w, then, the length of the rectangle will be:

l = 5w

The area of a rectangle is calculated using the formula:

Area=l \times w

Area=5w \times w

Area=5 {w}^{2}

It was given that, the area of the rectangle is 320yd²

320=5 {w}^{2}

Divide both sides by 5.

64 =  {w}^{2}

Take square root of both sides to get:

w = 8yd

This means the length is

l = 5 \times 8 = 40yd

The perimeter of a rectangle is given by:

P=2(w+l)

We plug in the values to get:

P=2(40 + 8) = 2 \times 48 = 96yd

The perimeter is 96yd

5 0
3 years ago
A homeowner's backyard is a rectangle with width 18 yards long and length 16 yards long. They plan to put in a square pool with
Ugo [173]

Answer:

Step-by-step explanation:

Given the dimension of the  homeowner's backyard to be width 18 yards long and length 16 yards long, the area of the rectangular backyard id expreesed as;

Area of rectangle = Length * Width

Area of the rectangular backyard = 18yards * 16yards

Area of the rectangular backyard = 288yards²

If they plan to put in a square pool with side length 5 yards long in the backyard, the area of the pool = 5yd*5yd = 25yd²

The remaining area that will contain the tiles = Area of the rectangular backyard -  area of the pool

The remaining area that will contain the tiles = 288yd² - 25yd² = 263yd²

<em>Note that we cannot determine the amount of tiles they need to buy since we are not given the dimension of each tile to use</em>. The area needed for the tiles for the rest of the backyard is therefore 263yd².

Amount of tiles needed to buy can be expressed as 263/dimension of a tile.

4 0
3 years ago
Solve: 2x + 3x? - 11x-6=0​
erica [24]

Answer:

  1. To solve the following equation we must first combine like terms
  2. Recognize the easiest way to manipulate the equation
  3. Lastly rearrange to isolate for x: usually done with division

2x+3x-11x-6=0

Combine like x variables

-6x-6=0

Add 6 to the right side

-6x = 6

Divide by -6

x=-1

Rate positively and give brainlist

8 0
3 years ago
Read 2 more answers
Write the number 67,011 In word and expanded form
bazaltina [42]
Sixty-seven thousand eleven
60,000+7,000+10+1
4 0
3 years ago
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