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2 years ago

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

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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Shannon earned $12.75 per hour plus an additional $100 in tips waiting tables on Saturday evening. She earned $235 in all. To th

ValentinkaMS [17]

Answer:

The least number of hours that she would have to work is 11.

Step-by-step explanation:

First, make the equation be "12.75x +100=235". Then, subtract 10 from both sides of the equation. You would get

"12.75x= 135". Then, divide both sides of the equation by 12. 75x, and the equation turns out to say, "x=10.59".

8 0

2 years ago

The dance committee of Pine Bluff Middle School earns \$72$72 from a bake sale and will earn \$4$4 for each ticket they sell to

jeyben [28]

Answer:

Inequality is $4t+72>400$

Solution is C: t > 82

Step-by-step explanation:

Let the number of tickets = t

It is given that the committee earns $4 per ticket. That is, they earn $4t$ dollars.

Also, the committee earns $72 from the bake sale.

So, the total income is $4t+72$ dollars.

Since, the dance will cost $400.

So, the total earning must be greater than $400.

Thus, the inequality for the situation is given by, $4t+72>400$ .

So, on solving, we have,

$4t+72>400$

i.e. $4t>328$

i.e. t > 82.

Thus, the solution of the inequality is $t> 82$

Hence, option C is correct.

6 0

3 years ago

Read 2 more answers

A new outdoor rec center is being built in hardford. The perimeter of the rectangular playing field is 258 yards. the length of

Taya2010 [7]

P = 2(L + W)
P = 258
L = 2W - 9

258 = 2(2W - 9 + W)
258 = 2(3W - 9)
258 = 6W - 18
258 + 18 = 6W
276 = 6W
276/6 = W
46 = W <=== here is the width

L = 2W - 9
L = 2(46) - 9
L = 92 - 9
L = 83 <== here is the length

5 0

3 years ago

The value of x and the value of y

egoroff_w [7]

Answer:

x= 60 y=50

Step-by-step explanation:

First to find x, all the degrees in a triangle add up to 180 degrees. So 50+70+x=180 which is also 120+x=180 which means x=60. Y is the exterior angle of x and a missing angle. Let's substitute the missing angle with the variable z. 60+50+z=180 which is 110+z=180 which means z is 70. So 180-x+z=y. 180-60+70=y which means y is equal to 50. Hope this helps!

7 0

2 years ago

Read 2 more answers

Discrete or Continuous? Identify the random variables in Exercises 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 as either discrete or cont

lions [1.4K]

Answer:

Discrete variable

Step-by-step explanation:

We are given the following in the question:

Variable:

Total number of points scored in a football game

Discrete and continuous data:

Discrete data is the data that can be expressed in whole numbers. They cannot take all the values within an interval.
Discrete variables are usually counted and not measured.
Continuous variable can be expressed in fractions and can take any value within an interval.
Continuous variable are usually measured and not counted.

Since, total number of points score in a foot game are expressed in whole numbers and cannot be expressed in decimals, they are discrete variable. They cannot take all the values within an interval and they are usually counted.

Thus,

Total number of points scored in a football game is a discrete variable.

8 0

3 years ago