The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, , be measured in feet per second.

Write an equation to represent the relationship between the three quantities (speed, distance, and time).

Answers

Answer 1

speed =  [tex]\frac{distance}{time}[/tex]

speed = [tex]\frac{100}{2.5}[/tex]

speed = 40 feet per second


Related Questions

Show how you would simplify the following expressions. Show your work.

Answers

If you multiply numbers with the same base, their exponents would add while their base stays the same.

1. 3 + (-5) = -2
4^ -2 = 1/4^2 = 1/16

2. -2+ (-4) = -6
3^-6 = 1/3^6 = 1/729

y-3= 5(x - 2)

NEED HELP

Answers

Answer:

Y = 5x -7

Step-by-step explanation:

That is written in slope intercept form, which I'm assuming is what you need. If not comment on my answer.

Answer:

y = 5x - 7

Step-by-step explanation:

y-3= 5(x-2)

y-3 = 5x - 10

y=5x -7

This is the answer if you have anymore questions please ask

Solve the equation and write a text explaining every step of your solution. 4 - 3x = 14 - 5x
How do you do this?

Answers

Answer: 14 - 5 x 5 = -11, and 4 - 3 x 5 = -11.

Step-by-step explanation:

what i did here was just plug in some numbers until the equations reached the same solution. there are probably better ways to do this but i hope this helps anyway.

The following are the last 10 run scores Colin got in cricket: 5, 3, 9, 11, 4, 28, 0, 30, 0, 23 a) Work out Colin's mean score.

Answers

Answer:in  pula mea dute si invata nu mai venii aici\

Step-by-step explanation:vezii ca daca nu invetii ii zic lu mata aia creata ca folosesti brainly bai nesimtitule mars la munca nu la frecat ou bai labare.

[tex]\sqrt{x}[/tex]

A forest fire wipes out many trees in an ecosystem. The main limiting factor would be
a.water
b.shelter
c.herbivores
d.predators

Answers

The answer si c I think it's that if it's not sorry

Given the points A(-l , 2) an d B(7, 14), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 1:3

Answers

Answer:

ethiopia

Step-by-step explanation:ethiopia ethiopia ethipoia

FIRST CORRECT ANSWER WILL GET BRAINLIEST
Write the equation in slope-intercept form for the line that has the given slope 5 and y intercept -6

A)y = -6x + 5

B)y + 6x = 5

C)y = -5x + 6

D)y = 5x - 6

Answers

Answer:

D

Step-by-step explanation:

D)y = 5x - 6

y=mx+b

where m = slope and b=y-intercept

Hope I helped!

~PumpkinSpice1

Plot four lines. Each line should pass through the point
on the y-axis and one of the other four points. One is
done for you.
Line
Equation
#1
y = -2+
#2
8
#3
-8
Check My Work

Answers

Answer: y= 3/4x +3

X/-4 + Y/3 = 1

Y-6=3/4 (x-4)

3x-4y=-12

Step-by-step explanation:

Just did it cus im cool

The required equation of the lines are y = 5/3x , y = -3/4x and y = -4x which passes through y axis and points (-3, -5) , (-4,  3) and (1, -4) respectively.

Given that,
To plot four lines. Each line should pass through the point on the y-axis and one of the other four points.

What is a line?

A line can be defined by the shortest distance between two points is called a line. The standard equation of the line is y = mx +c  where c = intercept and m, = slope of the equation.

Here,  (-3, -5) , (-4,  3) and (1, -4)
Three lines are to be plotted on the curve which passes through  (-3, -5) , (-4,  3), and (1, -4)  and at any point on the y-axis,

So the equation are,
y = 5/3x passes through (-3, -5 ) and 0 on y axis
y = -3/4x passes through (-4, 3) and 0 on y axis
y = -4x passes through (1, -4 ) and 0 on y axis


Thus, the required equation of the lines are y = 5/3x , y = -3/4x and y = -4x which passes through y axis and points (-3, -5) , (-4,  3) and (1, -4) respectively.

Learn more about lines here:

brainly.com/question/2696693

#SPJ5

Fifty less than three times a number is -20. Find the number.

Answers

3x - 50 = -20
Add 50 to both sides
3x = 30
x = 10
The number is 10

Answer:

10

Step-by-step explanation:

assigning variable x to the unknow number

3x - 50 = -20

3x = 30

x = 10

Solve the equation -4/x - 1 = 7/2 - x + 3/x + 1

Answers

Answer:

x=6.566084 or x=−1.066084

Step-by-step explanation:

Let's solve your equation step-by-step.

−4

x

−1=

7

2

−x+

3

x

+1

−4

x

+−1=

7

2

+−x+

3

x

+1

Multiply all terms by x and cancel:

−4+−1x=

7x

2

+(−x)(x)+3+1x

−x−4=−x2+

9

2

x+3(Simplify both sides of the equation)

−x−4−(−x2+

9

2

x+3)=−x2+

9

2

x+3−(−x2+

9

2

x+3)(Subtract -x^2+9/2x+3 from both sides)

x2+

−11

2

x−7=0

For this equation: a=1, b=-5.5, c=-7

1x2+−5.5x+−7=0

x=

−b±√b2−4ac

2a

(Use quadratic formula with a=1, b=-5.5, c=-7)

x=

−(−5.5)±√(−5.5)2−4(1)(−7)

2(1)

x=

5.5±√58.25

2

x=6.566084380618436,−1.0660843806184368

Check answers. (Plug them in to make sure they work.)

x=6.566084(Works in original equation)

x=−1.066084(Works in original equation)

Answer:

x=6.566084 or x=−1.066084

Which of the inequalities matches the graph below?

Graph of an inequality with shading above the line passing through points (-6,4) and (0,2)


LaTeX: y\ge-3x+2
y


3
x
+
2
y


3
x
+
2

LaTeX: y\ge-\frac{1}{3}x+2
y


1
3
x
+
2
y


1
3
x
+
2

LaTeX: y\le-3x+2
y


3
x
+
2
y


3
x
+
2

LaTeX: y\le-\frac{1}{3}x+2

Answers

A Picture would be better

Answer:

y≤-1/3x+2 is the correct answer

Step-by-step explanation:


2x+7=19 solving two-step equations

Answers

Answer:

x=6

Step-by-step explanation:

divide each term by 2 then simplify

Answer:

6

Step-by-step explanation:

First what you do is you subtract 7 from both sides to get 2x by itself.

2x + 7 - 7 = 19 - 7

2x = 12

Then you divide 2 from both sides to get x by itself.

2x/2 = 12/2

x = 6

Your answer is then x = 6.

The measures of the angles of a triangle are shown in the figure below

Answers

Answer:

they very much are there

Step-by-step explanation:

Answer:

37.5 degrees

Step-by-step explanation:

All triangle angles must sum up to 180 degrees

63 + 90 = 153

153 = 4x + 3

150 = 4x

37.5 = x

Which method can be used to find the range of a set of data? Find the difference between the maximum and minimum values. Find the difference between the upper and lower quartiles. Find the median of the upper half of an ordered data set. Find the sum of the maximum and minimum values.

Answers

Using the range concept, it is found that the method used to find it is:

Find the difference between the maximum and minimum values.

What is the range of a data-set?

The range of a data-set is given by the difference between the maximum value in the data-set and the minimum value in the data-set.

Hence, the correct option about the method used to find the range is:

Find the difference between the maximum and minimum values.

You can learn more about the range of a data-set at https://brainly.com/question/24732674

Answer:

(B)  Find the difference between the upper and lower quartiles.

Calculate the value for each determinant:
Calculate the value for each determinant:
Can any of you help out!!!?

Answers

Answer:

Step-by-step explanation:

[tex]\begin{vmatrix}3 & -1\\ -3 & 4\end{vmatrix}=(3\times 4)-(-1)\times (-3)[/tex]

               = 12 - 3

               = 9

[tex]\begin{vmatrix}8 & -1\\ -4 & -1\end{vmatrix}=8\times(-1)-(-1)\times(-4)[/tex]

               = -8 - 4

               = -12

[tex]\begin{vmatrix}-12 & -1\\ 12 & 5\end{vmatrix}=(-12)\times(5)-(-1)\times(12)[/tex]

                = -60 + 12

                = -48

[tex]\begin{vmatrix}2 & -1\\ 2 & -1\end{vmatrix}=2\times(-1)-(2)\times(-1)[/tex]

            = -2 + 2

            = 0

[tex]\begin{vmatrix}0 & -1\\ 17 & 4\end{vmatrix}=0\times(4)-(-1)\times(17)[/tex]

              = 17

[tex]\begin{vmatrix}1 & 0\\ 0 & 1\end{vmatrix}=1\times(1)-(0)\times(0)[/tex]

          = 1

Answer:

credit to top guy

this is for visual help

Step-by-step explanation:

A study conducted by the Center for Disease Control that asked 15,000 students about
their sleep habits showed that about 73% of high school students did not get the
required 8 hours of sleep per night. Let p be the proportion of high school students who
do not get 8 hours of sleep daily.
What is the sampling distribution of p?

Answers

Answer:

The sampling distribution of [tex]\hat p[/tex] is: [tex]\hat p\sim N(p,\ \frac{p(1-p)}{n})[/tex].

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

[tex]\mu_{\hat p}=p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

The study was conducted using the data from 15,000 students.

Since the sample size is so large, i.e. n = 15000 > 30, the central limit theorem is applicable to approximate the sampling distribution of sample proportions.

So, the sampling distribution of [tex]\hat p[/tex] is: [tex]\hat p\sim N(p,\ \frac{p(1-p)}{n})[/tex].

The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. The dance will cost $400.
Write an inequality to determine the number, ttt, of tickets the committee could sell to have money left over after they pay for this year's dance.

Answers

Answer:

t > 82

Step-by-step explanation:

First write what we know.

Earned $72

$4 per ticket, t

Cost is $400

So let's write our equation:

The cost is $400 so we put that on the left side,

$400 =

Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.

So we write:

$400 = $4t + $72 Now solve for t to find the number of tickets they need to sell.

400 = 4t + 72   Subtract 72 from each side.

400 - 72 = 4t + 72 - 72  

328 = 4t     Divide each side by 4.

328/4 = 4t/4

328/4 = t

82 = t

If the committee wants money left over they need to sell more than 82 tickets!

Our inequality is:

t > 82

Use long division to find the quotient below.
(15x2 + 2x2 - 75) - (3x-5)
O A. 5x2 - 9x + 15
B. 5x2 + 9x + 15
C. 5x2 + 12x + 15
D. 5x2 - 12x + 15

Answers

A. Is your answer. Hope this helps!
The answer is A have a good day!

please tell me the answer

Answers

Answer:

-3, 1, 5

Step-by-step explanation:

What is 2373.84 rounded to the nearest hundredth

Answers

Answer:

2400 ( if it the HundredTHS place Then it will just be 2373.84 because there is no thousandths place :P )

Step-by-step explanation:

Can someone check my work?

Answers

Answer:

you're correct! :)

Step-by-step explanation:

Yes it is correct dear.

Now you can make it on a graph by the solutions of the equation.

For the value of x,

[tex]9x + 3y = 15 \\ = > 9x = 15 - 3y \\ = > x = \frac{15 - 3y}{9} \\ = > x = \frac{3(5 - y)}{9} \\ = > x = \frac{5 - y}{3} [/tex]

And for value of y,

[tex]9x + 3y = 15 \\ = > 3y = 15 - 9x \\ = > y = \frac{15 - 9x}{3} \\ = > y = \frac{3(5 - 3x)}{3} \\ = > y = 5 - 3x \: \: \: or \: \: \: \\ y = - 3x + 5[/tex]

Multiply. Answer with a mixed number in simplest form.

5 x 2 1/4

Answers

Answer:

The correct answer should be 11[tex]\frac{1\\}{4}[/tex]

Step-by-step explanation:

Let me know if this is wrong and I will correct it if it is.

There are 14 boys and 35 girls on a class. What is the ratio of boys to girls in the class?

Answers

Answer:

14:35

Step-by-step explanation:

Answer:

14:49 boys 35:49 girls

Step-by-step explanation:

35+14=49

I dont understand how to explain this. ​

Answers

Answer:

Angle F is 50° because their side lengths are different but the angle measurements did not change. All triangles add up to 180 degrees and a right angle is 90 and it gives you the other angle measurement. So you would do 40 plus 90 which would get you 130. To find the last angle you would do 180 minus 130 which is 50. Angle F is 50 degrees.  

Step-by-step explanation:

this is what i would say

if a cylinder has a volume of 99 cubic centimeters , what is the volume of a cone with the same dimensions

Answers

Answer:

900

Step-by-step explanation:

Pete has a blueprint that shows the layout of his house. Every 4 inches on the blueprint represents 3 feet of the actual house. One of the walls on the blueprint is 30 inches long. What is the actual length of the wall?

Answers

30 / 4 = 7.5
7.5 * 3 = 22.5 feet long

Answer:

30÷4=7.5 ft ?I'm not sure if it's right

Olivia is going to an amusement park. The price of admission into the park is $40, and once she is inside the park, she will have to pay $4 for every ride she rides on. How much money would Olivia have to pay in total if she goes on 13 rides? How much would she have to pay if she goes on r rides?

Answers

She’ll pay 4$ per ride so we can write that as 4r. The entrance fee is 40 so we can write this as 40+4r. If she goes on 13 rides then 40+4(13)= 40+52=92.
***Olivia would pay 92$ in total if she goes on 13 rides

If she goes on r rides she would have to pay t=40+4r***

Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

2.2%

Step-by-step explanation:

Use the percent error formula:

% error = | (approx - exact) ÷ approx | x 100

Plug in the approx. and exact values:

| (8.9 - 8.7) ÷ 8.9 | x 100

| (0.2) ÷ 8.9 | x 100

= 2.2

So, the percent error is 2.2%

Answer:1.2%

Step-by-step explanation:

∣experimental−actual∣

×100

The formula

8.7

8.6

8.6

×

100

8.6

∣8.7−8.6∣

×100

Plug in values

0.1

8.6

×

100

8.6

∣0.1∣

×100

Subtract

0.1

8.6

×

100

8.6

0.1

×100

Take the absolute value

0.0116279

×

100

0.0116279×100

Divide

1.16279

1.16279

Multiply by 100

1.2

%

1.2%

TRUE OR FALSE? PLS HELP ME! ILL GIVE BRAINLIEST!!

Answers

Answer:

True!

From: Mr. Otero

-5x + y = -3 and –x - 5y = - 11 by substitution​

Answers

Answer:

x = 1, y = 2

Step-by-step explanation:

-5x + y = -3, we get y = 5x - 3.

Then plugs into the second equation, we get

-x - 5 (5x-3) = -11.

-x - 25x + 15 = -11,

-26x = -26

x = 1,

plugs x = 1 to y = 5x - 3, we get y = 2.

Answer:

Required Answer:-

-5x+y=-3---------------(1)-x-5y=-11----------------(2)

From eq (1)

[tex]{:}\longrightarrow[/tex][tex]\sf -5x+y=-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=-3+5x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3\dots\dots (3) [/tex]

Substitute the value in eq (2)

[tex]{:}\longrightarrow[/tex][tex]\sf -x-5 (5x-3)=-11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -x-25x+15=-11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-11-15 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-26 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-26}{-26}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1[/tex]

Substitute the value in eq (3)

[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y =5 (1)-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=2 [/tex]

[tex]\therefore[/tex](x,y)=(1,2)

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