Luke rides his bike to his aunt's house. He travels 10 mi/h. Because it starts to rain, Luke's aunt drives him home in a car traveling at 25 mi/h. It takes Luke 1.5 h longer to get to his aunt's house than to return home. How many hours did it take Luke to ride to his aunt's house?

Answer:

s = 3t + 4w

Step-by-step explanation:

2s = 6t + 8w

s = 3t + 4w

Answer:

s = 3t+4w

Step-by-step explanation:

2s = 6t+8w

s = (6t+8w) ÷ 2

(6t÷2=3t, 8w÷2=4w)

s = 3t + 4w

Answer:

-122

Step-by-step explanation:

The common difference is

-5-(-2)

-3

So

a+(n-1)d

-2+(41-1)-3

-2+(-120)

-122

The resulting equation after substitution in system of equations :2y = 6x , x² + y = 28 will be option B : x^2 + 3x = 28

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given system of equation are :

2y = 6x.....(1)

[x² + y = 28.........(2)

also, Lisa isolated the variable y in the first equation and then substituted it into the second equation that is :

she substitute y = 3x in second equation :

x^2 + y =28

x^2 + 3x = 28

Therefore, the resulting equation after substitution will be option B : x^2 + 3x = 28

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Answer:

They won't load for me

Step-by-step explanation:

Answer:

Dangggg the best I have seen

Step-by-step explanation:

but this is better

Answer:

My thought is 7, but I may be very well wrong.

Step-by-step explanation:

Answer:60 is the answer hope that helps

Step-by-step explanation:

Answer:

1.3x-4∠Y

2.y∠2x+5

3.y≥-2x-6

The solution to the equation given as x+2/2x-6 = 3/8 is x = -34/5

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation is given as

x+2/2x-6=3/8

Apply the multiplication property of equality.

So, we have

8(x + 2) = 3(x - 6)

Open the brackets

8x + 16 = 3x - 18

Collect the like terms

5x = -34

Divide both sides by 5

x = -34/5

Hence, the solution to the equation given as x+2/2x-6 = 3/8 is x = -34/5

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Answer:

y = 65x + 250

Step-by-step explanation:

Let the linear equation representing the relation between total pay and number of computers sold be,

y = mx + c

Here, m = commission on every computer sold = slope of the linear function

c = weekly salary

y = total pay

x = number of computer sold each week

Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Slope of the line passing through (4, 510) and (6, 640),

m = [tex]\frac{640-510}{6-4}[/tex]

   = 65

Equation of the line will be,

y = 65x + c

Since, this line passes through (4, 510),

510 = 65(4) + c

c = 510 - 260

c = 250

Therefore, equation of the line will be,

y = 65x + 250

Answer:

Step-by-step explanation:

b IS THE ANSWER.

Answer:

B

Step-by-step explanation:

Answer:

6+3+3/2+3/4

=9+3/2+3/4

=

21/2+3/4

=

45/4

(Decimal: 11.25)

Step-by-step explanation:

Answer:

11/5 slope

Step-by-step explanation:

5-(-6) -4-(-9)

11/ 5

Answer:

First choice

Step-by-step explanation:

Answer:

y = -5/2x-2

Step-by-step explanation:

9514 1404 393

Answer:

  f(x) = -2|x| +1

Step-by-step explanation:

The vertical translation is 1 unit upward, and there is no horizontal translation. So, the function will be something of the form ...

  f(x) = a|x| +1

The slopes of the lines have a rise/run with a magnitude of 2/1, so the value of 'a' will have a magnitude of 2. The appropriate choice is ...

  f(x) = -2|x| +1

Answer:

Well, to start the angle supplementary to 94° is 86°.

86°+20°=106°

180°-106°=74°

x=74°

Step-by-step explanation:

Sorry if it's wrong

Answer:

I did the math and I believe that answer is : -12x4-5x

Step-by-step explanation:

23, f(x) = 4x- 25, f(x) = x2-3x + 10 26. 27. f(x) 3x2 29, f(x) = 2x3-5x2 + 4x-1 30. f(x) = x3-3x2 31, f(x)--2x3-8x2 + 6x + 36 28, f(x) = x3-x2-x + 1 For each function use the leading coefficient test to determine whether y → oo or y →-oo as x → oo. 33, y=2x3-x2 + 9 35. y =-3x4 + 5 34. y=-3x + 7 36, y = 6x4-5x2-1 38, y = 5x-7x4 37. y=x-3x3 For each function use the leading coefficient test to determine whether y → or y →

Answer:

600,000(.90)       327,290

Step-by-step explanation:

Answer:

number 5 is 1.24 x 10 (3)

number 6 is 1.53 x 10 (-4)

hoped that helped:)

Step-by-step explanation:

Answer:

1. x = 1.5 rpm

2. x ≈ 0.8182 mi/hr

3. x = 6.6 feet

4. x = 4224 rpm

5. x = 390 rpm

Step-by-step explanation:

The relationship between angular speed and linear speed is given as follows;

Angular speed, ω = Linear speed, v/(Radius, r)

Therefore, we have;

1. When v = 12 cm/min = r = 8 cm , ω = 12/8 = 1.5 rpm

2. When, ω = 4 rpm, and  r = 18 feet, v = 4 × 18 = 72 feet/min ≈ 0.8182 mi/hr

3. When, ω = 800 rpm, and v = 60 mi/hr = 1 mi/min, r = x = 1/800 miles = 6.6 feet

4. When v = 60 mi/hr = 63,360 mi/min, r = 15 in , ω = 63360/15 = 4224 rpm

5. When v = 13 in/sec = 780 in/min, r = 2 in, ω = 780/2 = 390 rpm

Answer:

it would be, 5x-y=-19

Step-by-step explanation:

Use equation y-y1=m(x-x1)

Answer:

The average rate of change on the given interval is 9/70

Step-by-step explanation:

Here, we are to find the average rate of change of the function on the given interval

We proceed as follows;

on an interval [a,b] , we can find the average rate of change using the formula;

f(b) - f(a)/b-a

From the question;

a = 0

b = 3

f(0) = -3/5

f(3) = -3/14

Substituting the values, we have;

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

Answer:

-3

Step-by-step explanation:

3x+2=x+4x+8

3x+2=5x+8

2=2x+8

-6=2x

-3=x

Answer:

-15

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define Expression

(22 - 6x + 9) - 2(22 - 3x + 1)

Step 2: Simplify

Answer:

-15

Step-by-step explanation:

Answer:

( 1 , -2 )

Step-by-step explanation:

(x ,y)

substitute the given number of y value

slove equation for x

sub the given number of x value

slove equation for y

ordered pair

check the solution

simplify the equation

the ordered pair is the solution

The equation of a line in point-slope form is  (y + 8) = 4(x - 2).

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through the point (x₁, y₁) ⇒ (2,-8) and had a slope of 4.

We know the equation of a line in point-slope form is (y - y₁) = m(x - x₁).

∴ The equation of this line is (y + 8) = 4(x - 2).

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