What is the value of x?

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Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

[tex]H(x,y) = (8,6)[/tex]

San Antonio

[tex]T(x,y) = (-6,-7)[/tex]

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

[tex]S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)][/tex] (1)

[tex]S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)[/tex]

[tex]S(x,y) = (4.5,2.75)[/tex]

Andra

[tex]A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)][/tex] (2)

[tex]A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)[/tex]

[tex]A(x,y) =(1, -0.5)[/tex]

Emily

[tex]E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)][/tex] (3)

[tex]E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)[/tex]

[tex]E(x,y) = (-2.5, -3.75)[/tex]

a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?

Emily's beginning point is the Andra's stop point, that is, [tex]A(x,y) =(1, -0.5)[/tex].

Emily should begin her turn as the third driver at point (1, -0.5).

b. At what point does Emily's turn to drive end?

Emily's turn to drive end at point (-2.5, -3.75).

Answer:

See answers in bold

Step-by-step explanation:

Words  Expression

The Value of the Expression

a. 50 times the sum of 64 and 36 ... 50 x (64+36) = 50x (100) = 5000

50 x 64 + 36 )

5000

b. Divide the difference between  1,200 and 700 by 5 ...(1200-700) / 5 = 500/5 = 100

(1,200 - 700): 5

100

C. The sum of 3 fifteens and 17  fifteens ... [tex]\frac{3}{15}[/tex] + [tex]\frac{17}{15}[/tex] = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex]

45 + 255

d. 15 times the sum of 14 and 6 ... 15 x (14 + 6) = 15 (20) = 300

e.

10 x (250 +45) ...10 times the sum of 250 and 45

f.

(560 + 440) x 14... 14 times the sum of 560 and 440

Hope this helps

Answer:

If the length of x is less than 200, then add <.

If the length of x is more than 200, then add >.

If the length of x is 200, then add =.

Step-by-step explanation:

The answer would be 8 + (-5).

Answer:

y=10x+5

Step-by-step explanation:

y1-y2/x1-x2

5-15/0-1

-10/-1

10

The slope is 10

when the x is zero, y is 5 therefore 5 is the Y-intercept

y=10x+5

~PumpkinSpice1♥

Answer:

Mr. Rossi receives a monthly salary of 2000 euros. The company where he works, following a period of profits higher than expected, increases salaries by 6%. Subsequently, due to a period of crisis, salaries are reduced by 6%. After the increase and decrease, how much will Mr. Rossi's salary be? And what is the percentage change in salary compared to the initial salary?

Step-by-step explanation:

I translated it from Italian to English for you.

Answer:

36

Step-by-step explanation:

Answer:

The equation has no real solutions. It has 2 imaginary, or complex solutions.

Step-by-step explanation:

Answer:

it would be 7

Step-by-step explanation:

the equation would be ( if you read the problem) -2+9 and that is equal to 7

Answer:

x=1/15 y = -4 1/3

Step-by-step explanation:

First combine like terms.

-3y = 13

y= -13/3

y= -4 1/3

Substitute for y in next equation

-4 1/3 = 5x - 4

5x = 4 1/3 - 4

5x = 4 1/3 - 4

5x = 1/3

x = 1/3 divided by 5

Since fractions can't be divided, multiply by the inverse

x = 1/3 times 1/5 = 1/15

Answer:

the answer is 2

Step-by-step explanation:

this was a question on my test on khan academy :D

Answer:

19 inches and 60 inches

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3 1/2 - 1 1/2 = 2

PLS GIVE BRAINLIEST

Answer:

I think is C.

Step-by-step explanation:

I'm so sorry if wrong!

Your answer should come to:

y = -2/3x + 3

Answer:

1.  Slope = 1/4  

   Point = ( 1, 1 )

2. Slope = -3

    Point = ( 3, -20 )

Step-by-step explanation:

Marks

= 28/40

= 28/40 × 2.5/2.5

= 70/100

= 70%

Answer:

70percent

Step-by-step explanation:

28/40 x 100

0.7 x 100

=70 percent

Answer:

the answer is 9.5

Step-by-step explanation:

Answer:

I think it's C. 9.5

Hope this Helps!

(0,-2) or just -2 is the correct y intercept you can find this by graphing it:)

Answer:

-2

Step-by-step explanation:

we always know that the y intercept is after the x part. for example, if it was

y = 5x + 3 the y intercept would be 3. in this equation, it's negative 2 because of the subtraction sign

Answer:

21x^2+3x+12

Step-by-step explanation:

Answer:

=  

2/5x +2

Step-by-step explanation:

let me know if im wrong

hope it helps :)

Answer:

A. y=2/5x +2

step-by-step explanation:

hope this helped :-)

Answer:

2

Step-by-step explanation:

I hope this helps!

Answer:

65 divided by 5 equals 13.

Step-by-step explanation:

Answer:

65 divided by 5= 13

Step-by-step explanation:

Answer:

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

Step-by-step explanation:

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)

Let x be the number of liters of the 45% acid solution

The number of liters of the 70% acid solution is y

x + y = 50

x = 50 - y

Also

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution?

We have:

45% × x + 70% × y = 65% × 50

0.45x + 0.70y = 0.65 × 50

0.45x + 0.70y = 32.5

We substitute x = 50 - y in the equation

0.45(50 - y) + 0.70y = 32.5

= 22.5 - 0.45y + 0.70y = 32.5

= - 0.45y + 0.70y = 32.5 - 22.5

= 0.25y = 10

Divide both sides by 0.25

= y = 10/0.25

y = 40 liters

x = 50 - y

x = 50 - 40

x = 10 liters

Hence,

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

Answer:

slope: 3

y-intercept: 3?

Step-by-step explanation:

It is a 67% percent chance.