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galben [10]
3 years ago
7

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes were 6 to 5. If there were

6644 votes total, how many no votes were there?
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

3020

Step-by-step explanation:

ans.

Total ratio of votes=6+5

=11

1 ratio of votes=6644÷11

=604

Ratio of no votes=5

Number of no votes=Ratio of no votes×1 ratio of no votes

=604×5

3020

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The cloth top of the gazebo in Mr. Chang’s backyard has ripped from weathering. He needs to know the area of the cloth so he can
antoniya [11.8K]

Answer:

<u>The correct answer is A. 60 square feet.</u>

Step-by-step explanation:

1. Let's review the data provided to us for solving the question:

The gazebo in Mr. Chang's backyard, according to the figure, is a square pyramid because its base is a square of 6 feet as length of its sides.

Length of the sides of the base = 6 feet

Slant length = 5 feet

Height = 4 feet

2. How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?

Area of a square pyramid = Base area + 1/2 Perimeter * Slant length

Replacing with the real values, we have:

Area of a square pyramid = 6 * 6 + 1/2 (6 + 6 + 6 + 6) * 5

Area of a square pyramid = 36 + 1/2 (24) * 5

Area of a square pyramid = 36 + 12 * 5

Area of a square pyramid = 36 + 60

Area of a square pyramid = 96 feet ²

3. But remember than Mr. Chang doesn't need to replace the cloth at the bottom of the gazebo.

So we need to subtract the area of the base to the area of the square pyramid:

Area of the square pyramid - area of the base

Area of the base = 6 * 6 = 36 feet ²

96 feet ² - 36 feet ² = 60 feet ²

<u>The correct answer is A. 60 square feet.</u>

7 0
3 years ago
Read 2 more answers
What is the value of this expression 6 7/8+ 4 1/5+ 8 1/2
S_A_V [24]

Answer:

Fraction:783/40 Decimal:19.575

Mixed:19 23/40

Step-by-step explanation:


4 0
2 years ago
6 children and 2 adults are going to the circus. Children tickets are on sale,half price of adult tickets totaling $54. How much
Anon25 [30]

Answer:

Price of 1 adult ticket is <u>$10.8</u> and Price of 1 children ticket is <u>$5.4</u>.

Step-by-step explanation:

Given:

Number of adults = 2

Number of Children = 6

Total Amount of tickets sold = $54.

We need to find the price of one children's ticket and one adult ticket.

Solution:

Let the Cost of 1 adult ticket be 'x'.

Now Given:

Children tickets are on sale,half price of adult tickets.

Cost of 1 Children ticket = \frac{1}{2}x

Total Amount is equal to Number of adults multiplied by Cost of adult ticket plus Number of Children multiplied by Cost of Children ticket.

Framing in equation for we get;

2x+\frac{1}{2}x\times 6=54\\\\2x+3x=54\\\\5x=54\\\\x=\frac{54}{5} = \$10.8

Cost of 1 adult ticket = $10.8

Cost of 1 children ticket = \frac{x}{2}=\frac{10.8}{2} = \$5.4

Hence Price of 1 adult ticket is <u>$10.8</u> and Price of 1 children ticket is <u>$5.4</u>.

7 0
3 years ago
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 3/5 doors. How many liters of pai
barxatty [35]

Answer:

1\frac{1}{4}\ liters

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

1\frac{3}{5}=\frac{1*5+3}{5}=\frac{8}{5}

step 2

Using proportion

\frac{2}{(8/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=2/(8/5)\\ \\x=10/8\ liters

step 3

Convert to mixed number

\frac{10}{8}\ liters=\frac{8}{8}+\frac{2}{8}=1\frac{1}{4}\ liters

8 0
3 years ago
What is the volume of this sphere?
JulsSmile [24]
<h3>Answer:  24416.64</h3>

Work Shown:

V = (4/3)*\pi*r^3\\\\V \approx (4/3)*3.14*18^3\\\\V \approx 24416.64\\\\

6 0
2 years ago
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