Convert the rate to a unit rate. What is 124 feet walked in 10 seconds equal per second?

Answer:

The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]

Step-by-step explanation:

We need to calculate the gradient of the graph

The gradient of graph is actually slope of the graph.

The slope of graph can be calculated using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Taking any 2 points on graph i.e

(1,0) and (-1,-3)

We have [tex]x_1=1, y_1=0, x_2=-1,y_2=-3[/tex]

Putting values and finding gradient:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}[/tex]

So, The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]

Answer:

Step-by-step explanation:Let our two numbers be  a  and  b . Then we can see that  a+b=8  and  ab=15 . Now consider

(a+b)3=a3+3a2b+3ab2+b3  by the binomial expansion. Now we have all the information to solve this, observe since  a+b=8  and  ab=15 . We have

(8)3=a3+3ab(a)+3ab(b)+b3  

a3+b3+3ab(a)+3ab(b)=83  

a3+b3+3ab(a+b)=83  

a3+b3=83−3ab(a+b)  

a3+b3=83−3(15)(8)=512−360=152  

You can also observe that  3  and  5  fulfill those conditions so, then  33+53=27+125=152 . Which is our result.

Answer:

C

Step-by-step explanation:

Answer:

2x+1

Step-by-step explanation:

Answer:

The answer is C/85,000

Step-by-step explanation:

Answer:

3. markup: $150

selling price: $300

4. markup: $19.20

selling price: $67.20

5. markup: $55

selling price: $165

6. markup: $90

selling price: $450

7. markup: $3.75

selling price: $16.25

8. markup: $7.14

selling price: $27.54

Step-by-step explanation:

To find the markup of an item you multiply the initial value of the item by the percentage it's being marked up by. To find the selling price, you add the markup to the initial value. Let's use question 3 as an example:

3. The recliner is being marked up by 100%. To find the markup, we can convert 100% into decimal form and then multiply it by the initial value 150:

100% = 1

150 * 1 = 150

The markup is 150.

To find the selling price we add the markup to the initial value:

150 + 150 = 300

The selling price is 300.

I applied this method to all of the questions.

Answer:

[tex]v_x=v\:cos\:\theta \:[/tex]

   [tex]=-10.7294[/tex]

[tex]v_y=v\:sin\:\theta \:\:[/tex]

    [tex]=-16.5218[/tex]

Step-by-step explanation:

Let 'v' be the vector

The equation of the horizontal component is:

[tex]v_x=v\:cos\:\theta \:[/tex]

The equation of the vertical component is:

[tex]v_y=v\:sin\:\theta \:\:[/tex]

As

The horizontal component will be:

[tex]v_x=v\:cos\:\theta \:[/tex]

    [tex]=\left(19.7\right)\cos \left(237^{\circ \:}\right)[/tex]

     [tex]=-10.7294[/tex]

The vertical component will be:

[tex]v_y=v\:sin\:\theta \:\:[/tex]

    [tex]=19.7\sin \:\left(237^{\circ \:\:}\right)[/tex]

    [tex]=-16.5218[/tex]

Answer:

Option B. 3/4 > 2/3 is the correct answer.

Step-by-step explanation:

Lets look at the options one by one

A. 1/2 < 1/3

This inequality converts into 0.5<0.33 which is false.

B. 3/4 > 2/3

This simplifies to 0.75>0.666 which is true.

C. -1/4 < - 2/3

This converts to -0.25<-0.666 which makes the inequality false.

D. -1 > 3/4​

This converts to -1>0.75 which makes the inequality false.

Hence,

Option B. 3/4 > 2/3 is the correct answer.

Answer:

Option C. -1/4 < - 2/3 is the correct answer.

-1/4 equals -3/12

-2/3 equals -8/12

So, it is -2/3 is greater

Answer:

z=44/3

Step-by-step

Subtract the numbers 52-12=40

3z-4=40

Add 4 to both sides

3z-4+4=40+4

SImplify

3z=44

Divide both sides by 3

3z/3 = 44/3

z=44/3 or decimal form= 14.66

Answer:

I believe the answer is C. Rotation

Step-by-step explanation:

I used google to look up a example for each answer and this image looks to be a Rotation

Answer:

YES i think

Step-by-step explanation:

Answer:

5. Yes 6. No 7. No 8. Yes 9. No 10. No

For graphs, if two points are in the same vertical line, its not a function. For the bubble chart, if an x coordinate points to more than one y coordinate, its not a function, and for just some written out coordinates, if any of the x coordinates repeat, its not a function

Answer:

7.78

Step-by-step explanation:

Answer:

O 7.78

Step-by-step explanation:

Have a wonderful day:)

Answer:

m=10

Step-by-step explanation:

add 2 on both sides then divide both sides by -7

Answer:

10

Step-by-step explanation:

-7m-2=-72

-7m-2+2=-72+2

-7m=-70

-7m/-7=-70/-7

m=10

Answer:

3(3px + 4y)(3px - 4y)

Step-by-step Explanation:

This is the answer because:

1) We can factor using the difference of squares formula.

2) a^2 − b^2 = (a + b) (a − b) where a = 3px and b = 4y .

Hope this helps!

Answer:

x-y=0

Hope this helped

9514 1404 393

Answer:

  a)  3.491 in/s

  b)  3.333 RPM

  c)  0.349 rad/s

Step-by-step explanation:

We know the arc length for a given radius and angle is ...

  s = rθ

so the linear speed along the arc is ...

  s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s

__

The rotation rate of 20°/s is an angular velocity of ...

  (20°/s)(60s/min)(1 rev/360°) = 3.333 RPM

__

In the first part, we found the angular speed to be π/9 radians/sec. That's about ...

  π/9 rad/s ≈ 0.349 rad/s

Answer:

x= 1/5y +1/5 have a good day whoever you are :D

Step-by-step explanation:

Step 1: Flip the equation.

5x−5=y−4

Step 2: Add 5 to both sides.

5x−5+5=y−4+5

5x=y+1

Step 3: Divide both sides by 5.

5x /5 = (y+1) /5

x= 1/5y +1/5

Answer:

5x-y=-1

Step-by-step explanation:

y-4=5x-5

take 5x on the other side and also take -4 on the other side . the numbers must change sines when they go on there other side

-5x+y=-5+4

-5x+y=-1

divide both sides by -1

5x-y=1

Answer:

2401

Step-by-step explanation:

7^4

7 • 7 • 7 • 7

49 • 49

2401

Answer:

2401

Step-by-step explanation:

Pretty sure this is the answer. Have a good day!

Answer:

4 ≥ g

Step-by-step explanation:

Since 4 x 5=20 I started there and went one less because of the .95¢

so I started with the equation 4.95 x 4 which got the product $19.80 and I know that's as high as we can go within 20.

We also know she could play less than 4 games and stay within budget so that's why I used the ≥. You could also divide 20 by 4.95 for a quick and easy answer :)

Answer:

0.6 miles

Step-by-step explanation:

Given that,

A biking track has a length of 3168 feet (ft).

We need to find the distance in miles.

We know that, 1 mile = 5280 foot

1 feet = (1/5280) mile

Now, we can find the distance in miles by multiplying 3168 by (1/5280).

[tex]d=3168 \times \dfrac{1}{5280}\\\\=0.6\ \text{miles}[/tex]

So, the distance covered is 0.6 miles.

Answer:

g(x)=m(x−2)+b+3

????????????????????????

Answer:

Break-even point in units= 25

Step-by-step explanation:

Giving the following information:

Fixed cost= $100

Unitary variable cost= $20

Selling price per unit= $24

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 100 / (24 - 20)

Break-even point in units= 25

======================================================

Explanation:

Plug x = 80 into the equation to get

y = 0.12x

y = 0.12*80

y = 9.60

This means the store paid $9.60 for the rope. This amount of money is leaving the store owner's wallet or bank account. We'll keep this in mind for later.

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

The graph shows the equation y = 0.20x

Note how the point (1, 0.20) is on the line to help see the slope right away. This trick only works when the line goes through the origin.

You could also use the slope formula to get this. The y intercept is 0 since the line goes through the origin.

This equation and graph show that the price per foot is $0.20, or it's 20 cents per foot.

Plug in x = 80 to find how much the store will make in revenue

y = 0.20x

y = 0.20*80

y = 16

The store makes $16 in revenue when it sells 80 ft of rope.

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

The cost to the store was $9.60 found in the first section. The revenue was $16 found in section 2.

So,

profit = revenue - cost

profit = 16 - 9.60

profit = 6.40 dollars

Answer:

y = [tex]\frac{3}{4}[/tex] x - 3

Step-by-step explanation:

Coordinates of x-intercept are (x, 0)

Coordinates of y-intercept are (0, y)

(0, - 3)

(4, 0)  

Slope m = [tex]\frac{3}{4}[/tex]

y = [tex]\frac{3}{4}[/tex] x - 3

y = [tex]\frac{3}{4}[/tex] ( - 4) - 3 = - 6

(- 4, - 6)

y = [tex]\frac{3}{4}[/tex] ( - 16) - 3 = - 15

(- 16, - 15)

12 = [tex]\frac{3}{4}[/tex] x - 3

[tex]\frac{3}{4}[/tex] x = 15

x = 20

(20, 12)

Answer:

-2

Step-by-step explanation:

8-10 = -2

20-19 = 1

-2/1 = -2

Answer:

-2

Step-by-step explanation:

Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex] Where y2 is 8 and x2 is 20 and y1 is 10 and x1 is 19

So 8 - 10 = -2

And 20 - 19 = 1

-2 divided by 1

It is -2.

HOPE THIS HELPED

Answer:

Step-by-step explanation:

6.7578 *x = 13 divide both sides by 6.7578

[tex]\frac{6.7578}{6.7578} *x = \frac{13}{6.7578}[/tex]

x= 1.923

Answer:

Solution :-

To find the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case, we have to find the L.C.M. of 6, 15 and 18 and then add 5 in that number.

L.C.M. of 6, 5 and 18  

6 = 2*3

15 = 3*5

18 = 2*3*3

L.C.M. of 6, 15 and 18 = 2*3*3*5 = 90

Now,  

5 + 90 = 95

Hence, 95 is the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case.

Let us check our answer.

1) 95/6

Quotient = 15

Remainder = 5

2) 95/15

Quotient = 6

Remainder = 5

3) 95/18

Quotient = 5

Remainder = 5

So, the required number is 95.

Answer.

Step-by-step explanation: