The ratio of the length of a room to its width is 5 to 3. What is the width of a room if its length is 30 feet? Media558a6e2383191.Gif

Answer:

The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.

Step-by-step explanation:

Physically speaking, average speed ([tex]\bar v[/tex]), measured in miles per hour, is the distance travelled ([tex]\Delta s[/tex]), measured in miles, divided by time ([tex]\Delta t[/tex]), measured in hours. That is:

[tex]\bar v = \frac{\Delta s}{\Delta t}[/tex] (1)

The time needed by the vehicle is:

[tex]\Delta t = 72\,min\times \frac{1\,h}{60\,min}[/tex]

[tex]\Delta t = 1.2\,h[/tex]

If we know that [tex]\Delta s = 143\,mi[/tex] and [tex]\Delta t = 1.2\,h[/tex], then the average velocity of the car is:

[tex]\bar v = \frac{143\,mi}{1.2\,h}[/tex]

[tex]\bar v = 119.167\,\frac{m}{s}[/tex]

The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.

Answer:

48

Step-by-step explanation:

Answer:

[tex]x=\pm 2\text{ or } x = \pm 2i[/tex]

Step-by-step explanation:

We are given:

[tex]0=3x^4-48[/tex]

Factor:

[tex]0=3(x^4-16)[/tex]

Difference of Two Squares:

[tex]0=3(x^2-4)(x^2+4)[/tex]

Zero Product Property:

[tex](x^2-4)=0\text{ or } x^2+4=0[/tex]

Solve:

[tex]x^2=4\text{ or } x^2=-4[/tex]

Take the square root. Since we are taking an even-root, it requires plus/minus:

[tex]x=\pm 2\text{ or } x = \pm 2i[/tex]

Answer:

x = 2 y = 3

Step-by-step explanation:

Answer:

1250

Step-by-step explanation:

The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.

Since the return is received i.e. 24%

And, there are the minimum of 300 surveys

So, based on this, the no of guest satisfaction should be

[tex]= 300 \div 0.24[/tex]

= 1,750

hence,  The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.

Learn more about survey here: https://brainly.com/question/22497309

Answer:

≈83.33%

Step-by-step explanation:

400/480 = 5/6

56 * 100 =  ≈83.33%

Answer:

Step-by-step explanation:

Option D - x + 3 is the correct answer

Answer:

Ivan receives £120 more than Tanya.

Step-by-step explanation:

Total Money = £ 150

Ratio = 4:1

This means that Ivan gets 4x of £150 and Tanya gets 1x of £150.

Ivan's money = 4x

Tanya's money = 1x

Now, we know that total money is equal to the sum of Ivan's & Tanya's money.

Total money = Ivan's money + Tanya's money

£ 150 = 4x + 1x

£ 150 = 5x

150/5 = x

30 = x.

We have found the value of x, now we can substitute 30 in the place of x and find the money Ivan and Tanya get.

Ivan = 4x = 4×30 = £120.

Tanya = 1x = 1×3 = £30.

So, Ivan receives more money. But how much more? We can solve that by subtracting Tanya's money from the total amount.

Total amount - Tanya's money = 150 - 30 = £120.

So, Ivan receives £120 more than Tanya.

Answer:

Slope: 1

Y-intercepts : (0,0)

Step-by-step explanation:

Y= x

Answer:

3500

(0,3500)

Step-by-step explanation:

The y - intercept of the line is at (0, 3500).

The general equation of a straight line is -

[y] = [m]x + [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.

We have the line models the height of a glider [y] in feet over [x] hours

The y - intercept i.e. the point where the graph cuts the [y] axis. From the graph we can see that point is (0, 3500).

Therefore, the y - intercept of the line is at (0, 3500).

To solve more questions on system of equations, visit the link below-

https://brainly.com/question/27911202

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Answer:

2/3

Step-by-step explanation:

To solve slope: y2- y1/ x2 -x1.

Two points can be (0,6) and (3,8)

8-6/3-0 ---> 2/3

Answer:

2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

p=4

Q=2

plot an x onto the 4 on th y line and a 2 on the x line

then draw a horizontal line with the ruler provided through 4 and 2

hope it helps :)

The solution to the equations are

a) The coordinates of point P is P ( 0 , 4 ) and Q is Q ( 2 , 0 )

b) The graph is plotted with points P and Q

c) The equation of line is 4x + 2y = 8

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

4x + 2y = 8   be equation (1)

Now , the coordinates of the point P = P ( 0 , y )

The coordinates of the point Q = Q ( x , 0 )

Substituting the values in the equation , we get

when x = 0

4 ( 0 ) + 2y = 8

2y = 8

y = 4

So , the coordinates of the point P = P ( 0 , 4 )

when y = 0

4x + 2 ( 0 ) = 8

4x = 8

x = 2

So , the coordinates of the point Q = Q ( 2 , 0 )

Now , the equation of line is 4x + 2y = 8

when x = { -2 , -1 , 0 , 1 , 2 , 3 }

The values of y are y = { 8 , 6 , 4 , 2 , 0 }

So, the line is plotted in the graph

Hence , the equation of line is 4x + 2y = 8

To learn more about equation of line click :

https://brainly.com/question/14200719

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Given:

The expression is

[tex]\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}[/tex]

To find:

The value of the given expression closest to the whole number.

Solution:

We have,

[tex]\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}[/tex]

Cancel out the common factors from each fraction.

[tex]=\dfrac{6}{5}\times \dfrac{5}{6}[/tex]

[tex]=\dfrac{6\times 5}{5\times 6}[/tex]

[tex]=\dfrac{30}{30}[/tex]

[tex]=1[/tex]

Therefore, the value of the given expression is 1.

Answer:

A i jus did this

Step-by-step explanation:

GIve Brainlest Please

Answer:

19.81% off

Step-by-step explanation:

percentage decrease = new-old/old

599-747/ 747   = -148/747  

-148/747 x 100 = -19.81%

so the price has been reduced by 19.81%

Answer:

<BYX = 74 degrees

Step-by-step explanation:

The sum of angles of the adjacent sides of the trapezoid is 180 degrees

Given

<A = 106 degrees

<A + <BYX = 180

106 + <BYX = 180

<BYX = 180-106

<BYX = 74 degrees

1.

Step 1: Flip the equation.

p=2w+21

Answer:

p=2w+21

2.

Step 1: Add -b to both sides.

Step 2: Divide both sides by 2.

Answer:

a= −1 /2b+1/2 c

3.

Step 1: Add 2a to both sides.

−2a+b+2a=c+2a

b=2a+c

Answer:

b=2a+c

Answer:

8.5

Step-by-step explanation:

DE is 2 but when raised to AB is 2.5, therefore EC (8) will be 8.5 when raised to BC

Answer:

the answer is 14 ounces of sugar

Answer:

The slope of a line perpendicular to the given line will be –5/2

Step-by-step explanation:

Perpendicular lines will have a slope which is the opposite (switch from positive to negative or vice-versa) and the reciprocal (invert the fraction)

Answer:

29:17

17:46

29:46

17:29

Step-by-step explanation:

In this problem, we are given three quantities and all we have to do is to write ratios relating two of them. Since all the numbers are relatively prime, we can no longer simplify the ratios.

Problem 1:

29 girls is to 17 boys

29:17

Problem 2:

17 boys is to 46 learners

17:46

Problem 3:

29 girls is to 46 learners

29:46

Problem 4:

17 boys is to 29 girls

17:29

In these problems, it's usually as simple as putting two or three numbers together and reducing them into simplest form.

(credits to ethananilovnorcio for the answer)

Step-by-step explanation:

the one on the left (b)

y= mx+b

at x= 0 y = -2

then b= -2

at x= -1 y= 1

1= -m -2

m= -3

y= -3x -2

......

the one on the right side (d)

at x= 2 y = 1

at x= 4 y = 2

1= 2m+b

2= 4m +b

subtract

1= 2m

m= 1/2

y= 1/2 x

Answer:

508

Step-by-step explanation:

Take a = 12 and b = 8

[tex]\int\limits^a_b {3(f(x) - 2g(x)} \, dx =\int\limits^a_b {3(31) - 2(-17)} \, dx = 508[/tex]

Answer:

An linear equation in one variable

Step-by-step explanation:

Variable:h

Equation:6h+19

Answer:

3:1, 24 gallons blue 8 gallons yellow

Step-by-step explanation:

Jenny will use 24 gallons of blue paint and 8 gallons of yellow paint

Their ratio is 24:8 = 3:1

Answer:

2. 64

3. 2

Step-by-step explanation: