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serg [7]
3 years ago
14

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 5 . If there were

3766 yes votes, what was the total number of votes?
Mathematics
1 answer:
Nitella [24]3 years ago
5 0

Answer: 6456

Step-by-step explanation:

Ratio of yes to no= 7:5

Number if yes= 3766

Since total number of yes is 3766. To find the total number of votes, 3766 / (7/7+5)

= 3766/ (7/12)

= 3766 × 12/7

= 45192/7

= 6456

There were 6456 total votes

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Which system of equations has no solutions
Liono4ka [1.6K]

Answer:

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an "inconsistent" system of equations, and it has no solution.

Step-by-step explanation:

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5 0
3 years ago
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Matti built a greenhouse in his backyard as shown below.
Ivenika [448]
The correct answer is a 191.1 ft 3
3 0
3 years ago
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I need the answer now please
xxMikexx [17]

Answer:

180/147

Step-by-step explanation:

We need to find the additive inverse of the given numbers.

  • For finding it we may simply out -1 as multiplication in front of the terms .

<u>SOLUTION</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u>

→ 3/-7 - 11/21

→ -3/7 -11/21

→ 3×-3 - 11 /21

→ -9-11/21

→ -20/21

<u>SOLUTION</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

→ 9/5 ÷ 7/5

→ 9/5 × 5/7

→ 9/7

→ Product of nos . = -20/21 × -9/7

→ Ans = 180/147

7 0
3 years ago
Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)
Vilka [71]
For a cartesian equation
x=r\cos\theta \ and \ y=r\sin\theta \\  \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\  \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\  \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}

Given r = <span>10 tan(θ) sec(θ)
r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\  \\ \Rightarrow10y=x^2 \\  \\ \Rightarrow y= \frac{1}{10} x^2

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).
3 0
3 years ago
liam has 8 3/4 gallons of paint. he wants to use 2/5 of paint to paint his livingroom. how many gallons of paint will liam use?​
slava [35]

<u>Answer:</u>

Liam will use 3.5 gallons of paint to paint his living room

<u>Solution:</u>

Given that Liam has 8 \frac{3}{4} gallons of paint.

He uses \frac{2}{5} of paint to paint his living room

We need to find how many gallons of paint will Liam use

The gallons of paint Liam used can be found as follows:

Amount of paint Liam has = 8 \frac{3}{4} gallons  

Converting mixed fraction 8 \frac{3}{4} to decimal we get 8.75

Amount of paint used = 2/5th of available amount  

= \frac{2}{5} \times 8.75=3.5 \text { or } 3 \frac{1}{2} \text { gallons }

Hence Liam will use 3.5 gallons of paint to paint his living room

3 0
3 years ago
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