MATHEMATICS COLLEGE

In a recent election Corrine Brown received 13,436 more votes than Bill Randall. If the total number of votes was 119,444 find the number of votes for each candidate.

Answers

Answer 1

Answer:

Answer:

53151 for Bill Randall

66565 for Corrine Brown

Step-by-step explanation:

X + X+13414 = 119716

2x + 13414 = 119716

2x = 106302

x=53151

119716 - 53151 = 66565

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(1 point) The number of households with cable TV service in a certain community, N, begins at only 55 households and has seen a fivefold increase every 17 years. Give the constants a, b, and T so that N is represented by a function of the form N=abt/T, where t is the time in years since N was first measured.

Answers

Answer:

a=55

b=5

T=17

Step-by-step explanation:

The general form of the equation is:

$N(t)=ab^{(t)/(T)}$

For t = 0:

$N(0)=ab^{(0)/(T)}\nN(0) = a = 55\na=55$

Since there has been a fivefold increase after 17 years, at t = 17, N(17) = 55*5

$N(17)=55b^{(17)/(T)}\n55*5 = 55b^{(17)/(T)}\nb^{(17)/(T)} = 5$

If at every 17*n years there in an increase of 5^n, one can deduct that the values for T and b are respectively 17 and 5:

$b^{(t)/(T)}= 5^{(17n)/(17)}$

Therefore, the function that represents N(t) is:

$N(t)=55*5^{(t)/(17)}$

One number is 10 more than twice another. Their sum is 1. Find the numbers

Answers

Answer:

-3 and 4

Step-by-step explanation:

We can start naming the first number x

Hence, the second number would be 10+2x

Set up an equation.

10+2x+x=1

Combine like terms

10+3x=1

Subtract 10 from both sides

3x=-9

Divide both sides by 3.

x=-3

The first number is he first is -3.

Plug that into the expression for the second number.

10+2x

10+2(-3)

10-6

The two numbers are -3 and 4.

Evaluate the expression 9x - 5 for the values of x given in the first column.Value of x Value of expression
5
4
129
6
7

Answers

Answer:

Step-by-step explanation:

Expression : 9x - 5

To fill the table using the expression, you have to replace each value with x and solve the expression.

The answer is attached to the picture.

Answer:

Step-by-step explanation:

To fill the table using the expression

you have to replace each value with x and solve the expression

Help me please! It’s number 45.

Answers

I’m pretty sure it this if not sorry

Which inscribed angles intercept arc RS?

Answers

Answer:

A. $\angle RPS$

C. $\angle SQR$

Step-by-step explanation:

We have been given a diagram of a circle and we are asked to find the inscribed angles which intercept arc RS.

Since we know that inscribed angles are formed by the intersection of two secant lines in the interior of a circle. The vertex of inscribed angles lies on the circle.

A. Upon looking at our diagram we can see that vertex of angle SQR lies on our given circle and intercepts to arc RS, therefore, option A is the correct choice.

B. We can see that vertex of angle RTS is not on the circle. Since inscribed angle is an angle with its vertex 'on' the circle, therefore, option B is not a correct choice.

C. We can see that vertex of angle RPS lies on our given circle and also intercept to arc RS, therefore, option C is the correct choice.

D. Angle RSP intercepts to arc RQP, therefore, option D is not a correct choice.

The answer is <RPS and <SQR for anyone else who needs the answer.

A quadrilateral is _____ a trapezoid. (Always, sometimes, never)

Answers

Answer:

sometimes

hope it helps.

Answer:

sometimes

Step-by-step explanation:

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Solve the following problem: