how many hours would it take for a car to travel 150 miles at an average rate of 50 miles per hour

Answer:

126:54, or

63:27,or

7:3

Step-by-step explanation:

we can see that 126 can be divided by 2, and so can 54, so we reduce to #2,

we can see #2 can be divided by 9, so we get to #3

Answer:

maria : 1/3 =0.3 line on top of three

franco:1/4=0.25

Step-by-step explanation:

tried my best hope its right :)

Answer:

Maria: 1/3 cups for each gallon

Step-by-step explanation:

Maria: 2/3 for every 2 gallons.  2/3:2

Franco: 1 1/4 for every 5 gallons.  1 1/4/:5

Okay, so I'm actually going to do it my way.

Maria : [tex]\frac{2}{3} = 4/6\\\frac{4}{6} /2 =2/6[/tex]

So, I simply turn it into a bigger fraction and cut it in half!

So, Maria uses 1/3 of a cup for each gallon

Hope this will help you figure out Franco's!!!

Answer:

The Answer Should be x-3y=-4

Step-by-step explanation:

Answer:

20 minutes

Step-by-step explanation:

The question can be shown like so, 1.5+0.6x

Since the total charge was 13.5, you can write an equation

13.5=1.5+0.6x

Simplify using property of subtraction

13.5 - 1.5= 1.5 - 1.5 + 0.6x

12 = 0.6x

Simplify using property of division

12/0.6= 0.6x/0.6

x=20

Answer:

x > -2

Step-by-step explanation:

Step-by-step explanation:

% change = (new - original)/original × 100

= (8,000 - 5,000)/5,000 × 100

= 3,000/5000 × 100

= 60%

Answer:

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Step-by-step explanation:

(2x + 3)⁵

₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵

Use Pascal's triangle to find nCr.

[tex]\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right[/tex]

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵

(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Answer: The academy has 18 students per teacher. The academy has 10 students per tutor. The academy needs 13 tutors for 130 students.

Step-by-step explanation:

54/3=18

60/6=10

130/10=13

Answer:

The academy has  19 students per teacher.

The academy has  12 students per tutor.

The academy needs  12 tutors.

Step-by-step explanation:

[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Here , the given data is :

We can calculate Simple Interest using ,

[tex]\boxed{\purple{\bf Simple\: Interest=\dfrac{P\times\:R\:\times\:T}{100}}}[/tex]

On substituting the respective values ,

⇒ SI = P × R × T / 100.

⇒ SI = Rs 4400 × 8 × 3 / 100 .

⇒ SI = Rs 44 × 8 × 3 .

⇒ SI = Rs 1,056 .

Hence the required Interest is Rs 1,056.

Answer:

Equation should be: 15x + 5 = y

Step-by-step explanation:

I do not know the amount of money that he owed

For Example :

15(12) + 5 = y

180 + 5 = y

y = 185

Sorry if I'm incorrect

hi

3x+y +2 = 0   so   y = -3x-2

parrallel  line has the same slope , so  is  -3x

then  :     -3 (3) +c  = -4

               -9 +c = -4

                 c = -4 +9

                 c = 5

so parallel is   : y=   -3x +5

Answer:

Rewriting the equation in slope intercept form is: Y= -8x+4

Step-by-step explanation:

Im sure there's a faster way to solving this, but I'm just in 8th grade so I'm gonna apply what I know so far.

First of all, we know that our slope is -8... so we have y= -8x so far

From here, to find out y intercept I knew that our slope deals with all the points assigned, therefore we know that from -4 the change would be -8 so we get -12. We can also go the other way. This means that we plus 8 to get positive 4. (Side note: the change in our x value is 1 so we know that our y intercept is always dealing with a 0 in the x position) ex. (0,9) the y intercept would be 9.

To wrap things up, the slope is -8 and the y intercept is 4.

We then get Y= -8x+4

Hope this helps! :)

Answer:

Step-by-step explanation:

x - smaller number

3x - three times the smaller number = the larger number

2×3x - twice the targer number

2×3x+3x  - twice the larger is added to three times the smaller

2×3x + 3x = 27

6x + 3x = 27

  9x = 27

 ÷9     ÷9

   x = 3

3x = 3×3 = 9

Answer:

C: The graph is not a function of x because the line y = 0 intersects the graph at two points.

Step-by-step explanation:

The line y = 0 will intersect the ellipse at the points, (-4 , 0) , (4 , 0)

Answer:

6.8127 × 10^16

Step-by-step explanation:

Hope this helps:)

Answer:

6.8127 *10^16

Step-by-step explanation:

Scientific notation is a way to make these numbers easier to work with. In scientific notation, you move the decimal place until you have a number between 1 and 10. Then you add a power of ten that tells how many places you moved the decimal.

Answer:

3x^(2)+3x+4

Step-by-step explanation:

Answer:

[tex]3x^{2} +3x+4[/tex]

Step-by-step explanation:

1.)Remove the parentheses [tex]3x^{2}-4x+6+7x-2[/tex]

2.)Group like terms

3.)Add similar elements -4x-7x=3x = [tex]3x^{2}+3x+6-2[/tex]

4,)Add/Subtract the numbers 6-2=4

5.)[tex]=3x^{2} +3x+4[/tex]

Answer:

x is a real number

Step-by-step explanation:

Answer:

y=28/3x+6

Step-by-step explanation:

If you use the slope formula,     y2-y1

                                                      _____\

                                                       x2-x1

You would get that the slope is 23/3 and you can see the y-intercept is 6 so you would get y=28/3x+6.                                                        

Answer:

The area of the square is 12 squares unit