In a survey of 200 workers, 130 drink Coca-cola and 100 drink Fanta. How many workers

Please help when there are two x's i get confused. answer #3 with an answer!

igomit [66]

Answer:

x = 1

Step-by-step explanation:

We know that the two angles must be equal to each other. So:

65x - 12 = 43x + 10

First add 12 to both sides:

65x - 12 + 12 = 43x + 10 + 12

65x = 43x + 22

Then subtract 43x from both sides:

65x - 43x = 43x - 43x + 22

22x = 22

x = 1

7 0

3 years ago

(-3,-2) and (x,6); slope: -8/5

Sergio039 [100]

Answer:

$slope = \frac{6 - ( - 2)}{x - ( - 3)} \\ \frac{ - 8}{5} = \frac{6 + 2}{x + 3} \\ - 8(x + 3) = 5(6 + 2) \\ - 8x - 24 = 5(8) \\ - 8x - 24 = 40 \\ - 8x = 40 + 24 \\ \frac{ - 8x}{ - 8} = \frac{64}{ - 8} \\ x = - 8$

7 0

3 years ago

You have $120 to buy food trays for a super bowl party. The vegetable trays cost $20 each and the sandwich trays cost $30 each.

monitta

Answer:

3 vegetable trays, 2 sandwich trays

Step-by-step explanation:

I'm not quite sure what we're supposed to find, but if we were to find how many of each we can buy with $120 it would be 3 vegetable trays and 2 sandwich trays.

20 + 20 + 20 = $60

30 + 30 = $60

60 + 60 = $120

6 0

3 years ago

Read 2 more answers

Three more than three times a number is one less than two times the number what is the number

Yanka [14]

In the given question, there are several information's of immense importance. using these information's the correct and the required answer can be determined. It is given that an unknown number has to be found from the information's provided.
Let us assume the unknown number = x
Then
3x + 3 = 2x -1
3x - 2x = -1 -3
x = -4
So the unknown number is -4.
It should be remembered that these are trick questions and it is important to go through each lines very carefully to understand the inner meaning.

4 0

4 years ago

Read 2 more answers

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.

pentagon [3]

Answer:

trapezoidal rule: 14.559027
midpoint rule: 14.587831
Simpson's rule: 14.577542

Step-by-step explanation:

We assume you want the integral ...

$\displaystyle\int_4^{14}{\sqrt{\ln{x}}}\,dx$

The width of each interval is 1/6 of the difference between the limits, so is ...

interval width = (14 -4)/6 = 10/6 = 5/3

Then the point p[n] at the left end of each interval is ...

p[n] = 4 +(5/3)n

__

Trapezoidal Rule

The area of a trapezoid is the product of its average base length multiplied by the width of the trapezoid. Here, the "bases" are the function values at each end of the interval. The integral according to the trapezoidal rule can be figured as ...

$\dfrac{5}{3}\sum\limits_{n=0}^{5}\left(\dfrac{f(p[n])+f(p[n+1])}{2}\right)$

integral ≈ 14.559027

If you're doing this on a spreadsheet, you can avoid evaluating the function twice at the same point by using a weighted sum. Weights are 1, 2, 2, ..., 2, 1.

__

Midpoint Rule

This rule uses the area of the rectangle whose height is the function value at the midpoint of the interval.

$\dfrac{5}{3}\sum\limits_{n=0}^{5}{f(p[n+\frac{1}{2}])}$

integral ≈ 14.587831

__

Simpson's Rule

This rule gives the result of approximating the function over each double-interval by a parabola. It is like the trapezoidal rule in that the sum is a weighted sum of function values. However, the weights are different. Again, multiple evaluations of the function can be avoided by using a weighted sum in a spreadsheet. Weights for 6 intervals are 1, 4, 2, 4, 2, 4, 1. The sum of areas is ...

$\dfrac{10}{3}\sum\limits_{n=0}^{2}{\left(\dfrac{f(p[2n])+4f(p[2n+1])+f(p[2n+2])}{6}\right)}$

integral ≈ 14.577542

7 0

3 years ago