At the same time, Sam and Fred who are 168 miles apart begin moving toward each other. Find the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph.

Answer: -7

Step-by-step explanation:

Answer:

The approximate distance from Panthersville to Falconton is: B: 4.61 miles.

Step-by-step explanation:

Objective: Find the distance from Panthersville to Falconton. (Which is just half of the distance from Panthersville to Heel City because Falconton is the midpoint between both cities.)

First we need to find the distances from Panthersville to Heel City, which we are given the coordinates. ( Panthersville (-3,2) & Heel City (4, 8) )

-To find the distance between the two cities we use the distance formula:

d= √(x2 - x1) ^2 + (y2 - y1)^2 , so we set (-3,2) as x1 and y1 while (4,8) x2 and y2 and we just plug it in.

Once we plug it in we get:

d= √(4 - -3)^2 + (8 - 2) ^2

Then we solve the numbers in the parenthesis  (4 - -3) = 7 and (8 - 2) = 6 so now we have:

d= √(7)^2 + (6) ^2

Next we solve for the exponents  (7)^2 = (7 x 7 = 49) and (6)^2 = ( 6 x 6= 36) now it look like this:

d= √49 + 36

After that we just add both numbers together (49 + 36) = 85

d= √85

Now all we have to do is square root 85 which is just 9.219544457, just round it to the nearest hundredth and you will get 9.22.

So the distance from Panthersville to Heel City is about 9.22 miles.

Now we found the full distance we now need to find the distance from  Panthersville to Falconton which is just half of that distance due to   Falconton being the midpoint.  

All we have to do is divide 9.22 by 2 and we get 4.61.

The distance from Panthersville to Falconton is 4.61 miles.

Answer:

parallel

Step-by-step explanation:

We are cutting in the same direction as the base, so the slices is parallel to the base

Answer:

B

Step-by-step explanation:

This is the correct answer.

From The diagrams shown here, the option that does not fully define a translation is B.

In mathematics, this is another word for a transformation. What the translation does is that it helps to move a shape in different ways without altering the appearance of the shape.

The translation in this question is option B given the definition that we have above.

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Answer:

can i see a picture of the number line?

Step-by-step explanation:

Answer:

d.11/12

Step-by-step explanation:

1/4x3=3/12

2/3x4=8/12

3/12+8/12=11/12

Answer:

Solving 5x + y = 5 and - 3x + 2y = 6 gives (4/13,45/13) Similarly solve other combinations by observing graph to get other coordinates. From the figure we have obtained coordinates of corners as:

Step-by-step explanation:

The Solution for the linear equation is ( 6, -7)

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation.

Given:

2x + y = 5.......................(1)

and, 3x + 2y = 4....................(2)

Multiply the equation (1) by 2 we get

4x + 2y = 10 ....................(3)

Solving Equation (2) and (3), we get

  3x  +  2y  = 4      

  4x  +  2y  = 10

-         -           -

_____________

    -x = -6

      x= 6

and, y= 5- 2x = 5-2(6) = -7

Hence, the solution is (6, -7)

Learn more about linear equation here:

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Answer:

3 hours

Step-by-step explanation:

Speed is the ratio of distance traveled to time taken, it is given as:

Speed = distance / time

An executive drove from his home at an average speed of 35 mph to an airport where a helicopter was waiting. He then took the helicopter and flew to the corporate offices at an average speed of 78 mph. Given that the executive spent the same amount of time in the car as he did the helicopter how long did it take the executive to get to work.

Let the amount of time the executive spent in the car be t hours, therefore the amount of time spent in the helicopter = t hours.

For car:

Speed = distance / time

35 = distance ([tex]d_1[/tex]) / t

[tex]d_1=35t[/tex]

For helicopter:

Speed = distance / time

78 = distance ([tex]d_2[/tex]) / t

[tex]d_2=78t[/tex]

The total distance traveled = 169.5 miles

[tex]d_1+d_2=169.5\\35t+78t=169.5\\113t=169.5\\t=169.5/113\\t=1.5\ hours[/tex]

The time taken for the executive to get to work = time spent on car + time spent on helicopter = 1.5 + 1.5 = 3 hours

Answer:

202m

Step-by-step explanation:

Please see attached picture for full solution.

Let x meters be the height of the building.

Answer:2032

Step-by-step explanation:

Since 80% of the students plan to go to college, 80% of 2540 is 2032. 2540x0.8

Answer:

Graph these two points: (0, 360), (30, 0)

Step-by-step explanation:

Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).

The straight line joining the points (0, 360) and (30, 0) will be the graph.

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                              {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)     {Two point - slope form}

x/a + y/b = 1                                       {intercept form}

x cos(β) + y sin(β) = L                         {Normal form}

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have Amir who drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving.

We can write the equation of graph as -

y = - 12t + 360

At t = 0 -

y = 0 + 360

y = 360

and

at t = 30 minutes -

y = - 12 x 30 + 360

y = - 360 + 360

y = 0

The straight line joining the points (0, 360) and (30, 0) will be the graph.

Therefore, the straight line joining the points (0, 360) and (30, 0) will be the graph.

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Answer:

The Sand Will Be 2 inches Dip

Step-by-step explanation:

240 h = 480

=> h  = 2

sorry if this didn't help :p

Answer:

the answer is c

Step-by-step explanation:

convert the fractions to improper fractions 4/3 and 7/4 then multiply these fractions. youll get 28/ 12 and simplify to 2 1/3

Answer:

C

Step-by-step explanation:

So first, we should probably un-mix those fractions. So, we get:

4/3 x 7/4.

Multiplying this out, we get 28/12. Simplifying, we can get 2 1/3, which is C.

Answer:

9 < [tex]\sqrt{88}[/tex] < 10

Step-by-step explanation:

[tex]\sqrt{88}[/tex] = 9.38083152

Answer:

Third option

Step-by-step explanation:

Notice that √88 is close to √81 wich is 9.

● √88 is greater than √81 so it is greater than 9.

● √88 is less than √100 wich is 10

● so √88 is between 9 and 10

Answer:

d)33

e)80

Step-by-step explanation:

I'm sorry I don't really know how to explain this.

If for [tex] x[/tex] cumulative frequency the marks are $y$ (as given on the graph), we have $x$ students with marks equal to or less than $y$

d)

Total students are $140$. Hence three-fifths of that is $140\times \frac{3}{5}=84$. Find the marks at $84$ in the graph for the passing marks.

e)

From the graph we have $60$ students having less than or equal to $30$ marks. Total students are $140$.

Subtracting, $140-60=80$ we get the numbee of students achieving more than 30 marks.

Answer:

Rockefeller HS = 31%

Clayton West = 51%

Clayton South = 18%

Step-by-step explanation:

Given the following:

Championship wins shared by 3 basketball teams :

Rockefeller HS = 12

Clayton West = 20

Clayton South = 7

Percentage of total wins each team has :

Total number of wins = (12 + 20 + 7) = 39 wins

Percentage wins :

[(Number of wins per team) / total number of wins)] × 100

Rockefeller HS:

(12 / 39) * 100 = 30.769% = 31%

Clayton West :

(20/39) * 100 = 51.28% = 51%

Clayton South:

(7/39) * 100 = 17.948% = 18%

Answer:

Rons costs less by 4 dollars

Step-by-step explanation:

Sams

y = 15x+25

x=3

y = 15*3+25

  = 45+25

  =70

Rons

Using averaging

for 3 hours  Add 2 and 4 hours and divide by 2

(49+ 83) / 2 = 132/2= 66

Rons costs less by

70-66 =4

Answer:

The circle has radius = 9 units, and its equation is:

[tex]x^2+y^2=81[/tex]

The parabola has equation of the form:

[tex]y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number

Step-by-step explanation:

Given the characteristics of the two figures (circle and parabola) as described,

since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;

[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]

Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:

[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number.

Answer:

7^8

Step-by-step explanation:

Answer:7^8

Step-by-step explanation:

Answer:

[tex]\boxed{<}[/tex]

Step-by-step explanation:

[tex]-2 \ ? \ |-3|[/tex]

[tex]\sf Solve \ absolute \ value.[/tex]

[tex]|-3|=3[/tex]

[tex]-2 < 3[/tex]

[tex]\sf -2 \ is \ less \ than \ 3.[/tex]

Answer:

<

Step-by-step explanation:

|-3| = 3

-2 < 3

Answer:

Step-by-step explanation:

The system of equations is:

● 3x + 2y = 7

● 2x + 4y = 8

Where x is the price of a single coffee and y is the price of a single coffee

We will solve this simultaneous equations using the graphing method:

The solutions is the intersection point of to the lines.

(Picture below)

The intersection point is (1.5,1.25)

Answer:

x = 1.5

y =1.25

Step-by-step explanation:

3x+2y=7

2x+4y=8

Multiply the first equation by -2

-2(3x+2y=7 )

-6x-4y = -14

Add this to the second equation

-6x-4y = -14

2x+4y=8

----------------

-4x = -6

Divide by -4

-4x/-4 = -6/-4

x = 1.5

Now find y

3x+2y=7

3(1.5) + 2y = 7

4.5 +2y = 7

Subtract 4.5 from each side

2y = 2.5

Divide by 2

y = 1.25

Answer:

x = 1 ±[tex]\sqrt{119i}[/tex]/ 4

Step-by-step explanation:

[tex]2x^{2} -x +15[/tex] = 0

Use the quadratic formula:

x = 1 ±[tex]\sqrt{119i}[/tex]/ 4

I hope this helps...

And plz mark me brainliest!!1

Answer:

Below in bold.

Step-by-step explanation:

The  zeroes ( = x-intercepts) are x = -3 and x = -1.

So the x -coordinate of the vertex is between x = -3 and x = -1.

The actual x-coordinate is halfway between these value: at x = -2.

Answer:

x = -3 or x = -1

Step-by-step explanation:

f(x) = (x + 3)(x + 1)

⇒ x = -3 or x = -1

Answer:

Hey there!

The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.  

Hope this helps :)

Answer:

3/10

Step-by-step explanation:

Sally has to run 5 laps(2000m)

One lap = 400m  

So we multiply 3.5( 3 1/2) [this the the distance Sally ran] by 400

The answer we get is 1400( this the total distance in meters she ran)

Next we subtract 1400( total distance she ran in meters) from 2000(total distance in meters she needs to complete.

The answer we get is 600 meters( this is the distance she is left with)

As a fraction is 600/2000

THE ANSWER REDUCED TO ITS LOWEST TERM IS 3/10.

Answer:

3/10

Step-by-step explanation:

Answer:

they are both the same thing the first one with kara is in numbers and with raul it is in words

Step-by-step explanation:

hope i helped and have a great day :)

Answer:

  all real numbers

Step-by-step explanation:

The function f(x) = 3|x +4| +1 is defined for all values of x. Its domain is all real numbers.

C : 35

---------------------

Answer:

  (3.5, 17)

Step-by-step explanation:

It would be nice to see the whole graph, so we can see where the functions cross.

Without that information, we can still eliminate unreasonable choices.

A) the quadratic at y=3.5 is well above the exponential

B) the most likely choice (3.5, 17)

C) at x=-8, the quadratic is above the exponential

D) neither graph goes anywhere near y = -8

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}