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Alecsey [184]
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 5 to 3 . If there were

4955 yes votes, what was the total number of votes?
Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0
First you divide 4955 by 5 to get 991, then you multiply that by 3 to get 2973, the amount of no votes, then you add those together to get 7928 total votes
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Solve 2x2 + 20x = −38. (1 point)
RoseWind [281]

Answer:

The solutions are x=-5+\sqrt{6}  and x=-5-\sqrt{6}


Step-by-step explanation:

we have

2x^{2} +20x=-38

Divide by 2 both sides

x^{2} +10x=-19 ------> x^{2} +10x+19=0

we know that


The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to


x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}


in this problem we have


x^{2} +10x+19=0

so


a=1\\b=10\\c=19


substitute

x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}


x=\frac{-10(+/-)\sqrt{100-76}}{2}


x=\frac{-10(+/-)\sqrt{24}}{2}


x=\frac{-10(+/-)2\sqrt{6}}{2}


x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}


x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}


8 0
3 years ago
Read 2 more answers
If x^y = z is there any way to find y if you know x and z?
Rzqust [24]

We make use of y = \log_x(z) to solve for y, when you know x and z

<h3>How to solve for y?</h3>

The expression is given as:

x^y = z

The above expression is an exponential expression.

Start by taking the logarithm of both sides

y log(x) = log(z)

Divide both sides by log(x)

y = \log_x(z)

Hence, we make use of y = \log_x(z) to solve for y, when you know x and z

Read more about exponential functions at:

brainly.com/question/11464095

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6 0
2 years ago
A football stadium holds 17,700 seats. The lower level has 300 seats less than 4 times the number of seats in the upper level. T
grigory [225]

Answer:

6x + 200 = 17,000

Step-by-step explanation:

Lower level = 4x - 300

Mid level = 2x + 500

Combine the two equations to find the number of seats in the upper level

(2x + 500) × (4x - 300) = 17,000

Combine like terms

4x × 2x + 500 - 300 = 17,000

<em>6x + 200 = 17,000</em>

3 0
2 years ago
Read 2 more answers
Help please! Find the Surface area. Whoever gets it right ill give Brainliest!
11Alexandr11 [23.1K]

Answer:

284.6 square yards

284.6 yd^2

Step-by-step explanation:

Base: 7 × 13 = 91

Rectangle Sides: 6.1 × 13 = 79.3 (x2 = 158.6)

Triangle Sides: 5 × 7 = 35 (÷2 ×2 = 35)

Add: 91 + 158.6 + 35 = 284.6

8 0
3 years ago
There are 30 seventh grade students in the cafeteria. In a representative sample of 25 students, there are 14 girls. Estimate th
Basile [38]

Answer:

17 i think

Step-by-step explanation:

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