Its 10 3/5 miles from Alston to Barton and 12 1/2 miles from Barton to Chester. The distance from Alston to Durbin, via barton and Chester, is 35 miles how far is it from Chester to durbin

Answers

Answer 1

Answer:

Answer:

It is $11(9)/(10)$ miles far from Chester to Durbin.

Step-by-step explanation:

Given:

Its 10 3/5 miles from Alston to Barton and 12 1/2 miles from Barton to Chester. The distance from Alston to Durbin, via barton and Chester, is 35 miles.

Now, to find the distance from Chester to durbin.

Distance from Alston to Barton = $10(3)/(5) =(53)/(5) \ miles.$

Distance from Barton to Chester = $12(1)/(2)\ miles =(25)/(2) \ miles.$

As, given the distance from Alston to Durbin, via barton and Chester, is 35 miles.

Thus, the total distance = 35 miles.

So, we add the distance of Alston to Barton and Barton to Chester and get the distance from Alston to Chester:

$(53)/(5) +(25)/(2)$

$=(106+125)/(10)$

$=(231)/(10) \ miles.$

Distance from Alston to Chester $=(231)/(10) \ miles.$

Now, to get the distance from Chester to durbin we subtract distance from Alston to Chester from the total distance:

$35-(231)/(10) \n\n=(350-231)/(10) \n\n=(119)/(10) \n\n=11(9)/(10)\ miles.$

Therefore, it is $11(9)/(10)$ miles far from Chester to Durbin.

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Which one of the following equations illustrates the commutative property?A) 8 + 3 = 4 + 7 B) If 3 + 5 = a, then a=3+5 C) 2 + b = b + 2 D) 3(2 + 5) = 6 + 15

What is the discriminant and number of solutions to the problem- y=2x2+6x+12

Answers

Δ = b² - 4ac
Δ = (6)² - 4(2)(12)
Δ = 36 - 4(24)
Δ = 36 - 96
Δ = -60

y = 2x² + 6x + 12
0 = 2x² + 6x + 12
0 = 2(x²) + 2(3x) + 2(6)
0 = 2(x² + 3x + 6)
2 2
0 = x² + 3x + 6
x = -(3) ± √((3)² - 4(1)(6))
2(1)
x = -3 ± √(9 - 4(6))
2
x = -3 ± √(9 - 24)
2
x = -3 ± √(-15)
2
x = -3 ± i√(15)
2
x = -1.5 ± 0.5i√(15)
x = -1.5 + 0.5i√(15) or x = -1.5 - 0.5i√(15)

The discriminant is -60 and the number of solutions is 2.

X =

10
8
9
---------------------

Answers

Answer:

x = 8.

Step-by-step explanation:

Using the chords of a circle intersection theorem:

5x = 4 * 10

x = 40 /5

x = 8.

Answer:

X=8

Step-by-step explanation:

What is the solution to the equation -(5-(a+1))=9-(5-(2a-3))?a) a = –5

b) a = –3

c) a = 3

d) a = 5

Answers

I know the answer. It B!

An equation in the system is y = x + 1. What is the other equation in the system if the solution is only at (0, 1)?x − y = 1

2x + 2y = 4

x + y = 1

x + 2y = 2

Answers

Answer:

The correct options are 3 and 4.

Step-by-step explanation:

An equation in the system is

$y=x+1$

The only one solution of the system of equation is (0,1). It means the equation must be satisfied by the point (0,1) and the equation is not equivalent to the given equation.

Two equations $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ are equivalent if

$(a_1)/(a_2)=(b_1)/(b_2)=(c_1)/(c_2)$

All the given equations are not equivalent equations because for all equation s

$(a_1)/(a_2)\neq (b_1)/(b_2)\neq (c_1)/(c_2)$

Check each equation by (0,1).

For equation 1,

$x-y=1$

$0-1=1$

$-1=1$

This statement is false, therefore the option 1 is incorrect.

For equation 2,

$2x+2y=4$

$2(0)+2(1)=4$

$2=4$

This statement is false, therefore the option 2 is incorrect.

For equation 3,

$x+y=1$

$0+1=1$

$1=1$

This statement is true, therefore the option 3 is correct.

For equation 4,

$x+2y=2$

$0+2(1)=2$

$2=2$

This statement is true, therefore the option 4 is correct.

A)
x − y = 1
0 - 1 = 1
-1 = 1

Not true.

B)
2x + 2y = 4
2(0) + 2(1) = 4
0 + 2 = 4
2 = 4
Not true

C)
x + y = 1
0 + 1 = 1
1 = 1
True

D)
x + 2y = 2
0 + 2(1) = 2
2 = 2
True

The answer is C and D.

According to a survey, 67.5% of Californians prefer hot weather over cold weather. Let X = number of Californians in a sample of 19 who prefer hot weather over cold weather. What is the probability that at least 16 Californians prefer hot weather over cold weather? O 0.9098 O 0.0902 0.0284 0.0618

Answers

The correct option is 0.9098. The probability that at least 16 Californians prefer hot weather over cold weather is 0.9098.

According to a survey, 67.5% of Californians prefer hot weather over cold weather. Let X = number of Californians in a sample of 19 who prefer hot weather over cold weather. Then, the probability that at least 16 Californians prefer hot weather over cold weather can be calculated by using the cumulative binomial probability formula. Let X = the number of Californians in a sample of 19 who prefer hot weather over cold weather.

The formula for calculating the cumulative binomial probability is: P(X≥k) = ∑i=kn P(X=i)

In this example, k = 16, n = 19, and P(X=i) = 0.675

Therefore, P(X≥16) = ∑i=1619 P(X=i) = 0.9098

You can learn more about probability at: brainly.com/question/30034780

#SPJ11

What is the term for the conversion of a bitmap image to a vector image?

Answers

I think it’s Vectorization

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