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kakasveta [241]
2 years ago
12

Elections In a mayoral election, the number of votes for the incumbent was

Mathematics
1 answer:
ozzi2 years ago
5 0
100\%+25\%=125\%=\frac{125}{100}=1.25\\\\x;y-number\ of\ votes\ cast\ for\ candidates\ for\ mayor\\\\  \left\{\begin{array}{ccc}x=1.25y\\x+y=5175\end{array}\right\\\\subtitute:\\\\1.25y+y=5175\\2.25y=5175\ \ \ \ |divide\ both\ sides\ by\ 2.25\\\boxed{y=2300}\\\\x=1.25\times2300=2875\\\\Answer:\boxed{\boxed{2875}}
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75 POINTS Need an immediate answer please brainliest will be given! A train left a station travelling to a city at 30 mph. The t
yaroslaw [1]

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

<h3>What is the rate of speed?</h3>

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

t+2=3+\dfrac{(x-3\times35)}{51}

As t is same, thus put the value of t in this equation,

\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

brainly.com/question/359790

#SPJ1

6 0
2 years ago
Find the x- and y-intercepts of the equation below. Write your answers as ordered pairs.
Airida [17]

Answer:

x intercept: none

y intercept=: (0,-12)

5 0
3 years ago
Please Help me solve this (Who ever answers correctly will get brainlest)
nlexa [21]

Answer:

15 2/3

Step-by-step explanation:

11 feet + 4 2/3 feet = 15 2/3

11+4= 15 + 2/3 = 15 2/3

Its actually very simple.

7 0
2 years ago
Read 2 more answers
Which best describes the life cycles of moss and angiosperm?
Aleksandr-060686 [28]
It would have to be iv

4 0
2 years ago
Read 2 more answers
1. The sides of a triangle have lengths of 5, 8, and 6.(1/ 2). An angle bisector meets the side of length 6.(1/ 2). Find the len
Advocard [28]

Answer:

Step-by-step explanation:

i assume x+y=6(1/2)=\frac{13}{2}

\frac{5}{8}=\frac{x}{y}=\frac{x}{\frac{13}{2}-x}=\frac{2x}{13-2x}\\65-10x=16x \\26 x=65\\2x=5\\x=\frac{5}{2}\\y=\frac{13}{2}-\frac{5}{2}=\frac{8}{2}=4

6 0
3 years ago
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