a bus is traveling at a constant speed . if the the bus travels 15 1/2 miles in 1/3 of an hour , how many miles will the bus travel in one hour?

Answer:

Original amount invested = $3400 .

Step-by-step explanation:

Let the original investment of Steve = $x

Stock increased in the first year = 50% of amount invested

Therefore total amount after one year = x + 0.5x = 1.5x

Commission paid to the stock broker = $350

Amount lost by him = $400

Amount withdrawn by him = $300

Total amount decreased from the amount after 1 year

= 1.5x - (350 + 400 + 300)

= 1.5x - 1050

This remaining amount is doubled, so the final amount

= 2(1.5x - 1050)

= 3x - 2100

This final amount is equal to $8100

3x - 2100 = 8100

3x = 8100 + 2100

3x = 10200

x = $3400

Therefore original amount invested in the stock market was $3400 .

Answer:

Step-by-step explanation:

Given that the total time taken to practice is given by the expression as

y=7(15+x)

Simplifying the expression we have

y=105+7x

Solving for x (that is making x subject of formula we have)

7x=y-105

Divide both sides by 7 we have

x=(y-105)/7

Therefore the expression is

x=(y-105)/7

Answer:

the answer is 13 per one sec

Step-by-step explanation:

4 times 13 is 52 so every one sec its 13

Answer:

2

Step-by-step explanation:

Two negatives makes a positive, - (-6) can be rewritten as +6 or simply just 6.

Proceed to do simple calculations, 6 - 4 = 2.

Answer:

2

Step-by-step explanation:

Multiply the -6 by -, and it equals a positive 6 (When you multiply a negative number by a negative number it becomes a positive).

Finish the equation by subtracting 6 - 4 = 2

I know it might not make sense but trust me, I had to do problems like this.

Hope this helps!

-Jerc

Answer:

angle four is vertical to angle 2

Answer:

angle 2 is vertical to angle 4

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-7/3*x-6)=0  

STEP

1

:

           7

Simplify   —

           3

Equation at the end of step

1

:

              7          

 y -  ((0 -  (— • x)) -  6)  = 0  

              3          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        6     6 • 3

   6 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-7x - (6 • 3)     -7x - 18

—————————————  =  ————————

      3              3    

Equation at the end of step

2

:

      (-7x - 18)

 y -  ——————————  = 0  

          3      

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

         y     y • 3

    y =  —  =  —————

         1       3  

STEP

4

:

Pulling out like terms :

4.1     Pull out like factors :

  -7x - 18  =   -1 • (7x + 18)  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

y • 3 - ((-7x-18))     3y + 7x + 18

——————————————————  =  ————————————

        3                   3      

Equation at the end of step

4

:

 3y + 7x + 18

 ————————————  = 0  

      3      

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y+7x+18

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y+7x+18  = 0

Equation of a Straight Line

5.2     Solve   3y+7x+18  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+7x+18  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -6/1 so this line "cuts" the y axis at y=-6.00000

 y-intercept = -18/3  =  -6  

Calculate the X-Intercept :

When y = 0 the value of x is -18/7 Our line therefore "cuts" the x axis at x=-2.57143

 x-intercept = -18/7  = -2.57143  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -6.000 and for x=2.000, the value of y is -10.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.667 - (-6.000) = -4.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -4.667/2.000 = -2.333  

Geometric figure: Straight Line

 Slope = -4.667/2.000 = -2.333

 x-intercept = -18/7 = -2.57143

Answer:

This function does not have a vertex because it is a linear function, meaning it will be a straight line.

Step-by-step explanation:

I suggest graphing this on desmos! That site will be your best friend when it comes to graphing, anyway I hope this helped!

Answer:

A. ??

Step-by-step explanation:

have a nice day and hope it helps

Answer:

The mass of the steel ball is 4,235.9 gr

Step-by-step explanation:

Density

The density ρ of a substance is a measure of its mass per unit volume:

[tex]\displaystyle \rho=\frac{m}{V}[/tex]

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

[tex]m=\rho.V[/tex]

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3[/tex]

Calculating:

[tex]V=523.6\ cm^3[/tex]

The mass is:

[tex]m=8.09 gr/cm^3 \cdot 523.6\ cm^3[/tex]

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

Answer:

Angle AOB and angle DOC are identical because they share 2 parallels considering it is a bisection

Step-by-step explanation:

Answer:

$16

Step-by-step explanation:

He received that much money because all you have to do is just subtract            

43-27. Then thats how I got my answer.

Hope this helps and have a great day!

Answer:

Willie received $16 dollars during the weekend

Step-by-step explanation:

$43 (how much money he has now) - $27 (how much he had last Friday) = $16 (how much he received while babysitting during the weekend)

Answer:

y - 4= -2(x - 2)

Step-by-step explanation:

(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)

So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.

Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .

So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)

Answer:

4 +5 _7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

P(x)=R(x)-C(x)

=-0.6x³+900x²-400x+700-(400x²+300x)

=-0.6x³+500x²-700x+700

Answer:

12 days

Step-by-step explanation:

Given:

s = d

Where,

d = number of days he spends on vacation

s = total number of souvenirs he buys

How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?

s = 12

Since,

s = d

Then,

12 = d

Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs

Answer:

x=5 m=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

Charges= $400

Additional charges= $7.5 per guest

let the number of guests be x

let the total cost be y

the model for the situation is given as

y=mx+C

Step two:

given that y=1600

we can solve for x as

1600=7.5x+400

1600-400=7.5x

1200=7.5x

divide both sides by 7.5 we have

x=1200/7.5

x=160

Therefore the expected guest should not be more than 160

x<=160

Answer:

1

Step-by-step explanation:

0^2 + 1

1

Answer:

ummm im sorry i will answer in the comments

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

if you plot y= -3 and the point (4,-6) you will see that the only answer can be x=4

Answer:

y=-3x+2

Step-by-step explanation:

Answer:

His conjecture is not logical.

Step-by-step explanation:

If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.

Answer:

24 centimeters

Step-by-step explanation:

Answer:

negative 11/6

Step-by-step explanation:

Answer:

1.25 pints

Step-by-step explanation:

gallon king!!!

1 gallon king has 4 queens (4 quarts)

1 queen (quart) has a 2 princes (pints)

1 prince has 2 cats (cups)

one cup has 8 oz

put it all together:

2 and 1/2 cups

2 cups = 1 pint

1 pint and 1/2 cup

1/2 cup is 1/4 of a pint

sooo... it's 1.25 pints!

Answer:

20 and 2020

Step-by-step explanation:

i got it right on edge

Answer:

The first answer is 20 and the second answer is 2020

Step-by-step explanation:

I just answered it on edge

Answer:

I think it's the second formula.

Step-by-step explanation:

Let x be the original price.

The discount rate is 20%

Sale Price is $68.90

Discount = 20% of x = 0.2x

Using the formula, Sale Price = Original Price - Discount,

Original Price - Discount is x-0.2x = 0.8x

$68.90 = 0.8x

From here on, just do the equation :) Hope this helps!