The crescent park carousel is 50 ft in diameter and travels 9 miles per hour how many minutes will it take to complete 30 revolutions

Answer:

area is 60.75 m^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

One clue about where to start is this: the sentence describes the length by referring to the width. "The LENGTH is blah, blah, blah, the WIDTH. When that happens, choose a variable to represent the width (the quantity being referred to).

Width = w

Length IS three more than (added to) 4 times (multiplied by) the width

Length = 4w + 3

Area of a rectangle is the width multiplied by the length.

Equation: w(4w + 3) = 24

Solve.

Multiply out the left side.

4w^2 + 3w = 24

Subtract 24.

4w^2 + 3w -24 =0

This equation does not factor. Use the Quadratic Formula. One of the solutions is a negative number, so that should be rejected (width can't be a negative number).

[tex]w=\frac{-3+\sqrt{393}}{8}[/tex]

Substitute this into the expression 4w + 3 to find the length. A calculator can give you decimals for both dimensions.

Answer:

$2.60

Step-by-step explanation:

13.00÷5=2.6

6 is in tens placement

Answer:

12

Step-by-step explanation:

Divide 12 by 5 to get about 2 as the remainder. 12 is also a multiple of 6!

I hope this helps! Can you please mark brainliest!

Answer:

i believe the area would be: 108

Step-by-step explanation:

you would multiply the numbers ( 12 x 9 = 108)

= 108 in

~ i rlly hope this is correct and has helped you in any way, have a gr8 day/night my friend!~

Answer:

area is 180

Step-by-step explanation:

Answer:Your answer is C

Step-by-step explanation:

Answer:

There are two colors and 8 numbers.

One color is represented by 3 numbers 2, 3, 7

The second color is represented by 5 numbers 1, 4, 5, 6, 8

Answer:

A. there must be a vertical asymptote at x=c

Step-by-step explanation:

Answer: A

Step-by-step explanation:

got it right edge 2022

Answer:

I think it is 38+11i not sure but try it

Answer: X = -12

Step-by-step explanation:  1)  12 + x/4 = 9

                                              2)  12 + x/ 2^2 = 9

                                              3)   x/ 2^2  + 12 = 9  

Answer:

u = 7

Step-by-step explanation:

In a parallelogram, GI = GK so:

u + 28 = 5u

4u = 28

u = 7

Answer:

(1, 6) is the solution

Step-by-step explanation:

-2x + 6y = 34

2x + 2y = 14;     divide by 2

x + y = 7;        subtract x

y = 7 - x

let's substitute y with 7 - x in first equation

-2x + 6*(7 - x) = 34;    expand multiplication

-2x + 6*7 - 6*x = 34;    group

-8x + 42 = 34;         subtract 42

-8x = 34 - 42 = -8;      divide by -8

x = 1

y = 7 - 1 = 6

It is the only solution, as we've arrived at exact numbers.

126

Step-by-step explanation:

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Answer:

16.3

Step-by-step explanation:

There was a total of 48.9 pounds of cans and bottles

They were split evenly in 3 bags

Hence the number of each pounds in the bag can be calculated as follows

= 48.9/3

= 16.3

Hence 16.3 pounds are found in each bags

Answer:

x = y/4 + 5/4  

y = 4x-5

Step-by-step explanation:

I hope this helps!

Answer:

104 degrees'

Step-by-step explanation:

Find the diagram attached

According to the theorem;

Angle at the vertex is half the angle at its intercepted arc

Given

Angle at the vertex = 52 degrees

Angle at the intercepted arc = arc QR

Hence;

52 = 1/2 arcQR

Cross multiply

52 * 2 = arcQR

104 = arc QR

Swap

arc QR = 104 degrees'

Answer:

C)104

Step-by-step explanation:

edg 2021

Answer and Step-by-step explanation:

When we take a look at the graph, we can see that at around 1 gallon, which would be halfway between 0 and 2, the line is underneath $5.

That means we can eliminate any number that is or above $5.

That leaves us with answer choices A and C.

Let's go to a point that is easily readable. Point (4, 15) is readable, and we can use this to find the price per gallon.

Divide 15 by 4. We get 3.75 as the result.

This means that the answer choice is:

C. The cost of gas is $3.75 per gallon.

#teamtrees #PAW (Plant And Water)

Answer:

121.21 people per square mile

Step-by-step explanation:

area = 1/2(12 + 21)(14) = 231 mi²

28,000/231 = 121.21 people per square mile

Given:

Consider the given function is:

[tex]f(x)=x^2-8x+13[/tex]

To find:

The average rate of change of the function over the interval [tex]-1\leq x\leq 6[/tex].

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

We have,

[tex]f(x)=x^2-8x+13[/tex]

At [tex]x=-1[/tex],

[tex]f(-1)=(-1)^2-8(-1)+13[/tex]

[tex]f(-1)=1+8+13[/tex]

[tex]f(-1)=22[/tex]

At [tex]x=6[/tex],

[tex]f(6)=(6)^2-8(6)+13[/tex]

[tex]f(6)=36-48+13[/tex]

[tex]f(6)=1[/tex]

Now, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is:

[tex]m=\dfrac{f(6)-f(-1)}{6-(-1)}[/tex]

[tex]m=\dfrac{1-22}{7}[/tex]

[tex]m=\dfrac{-21}{7}[/tex]

[tex]m=-3[/tex]

Therefore, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is -3.

Answer:

12

Step-by-step explanation:

Answer:

9 kids tickets

Step-by-step explanation:

Let k = no. of kid's tickets

12 - k = no. of adult's tickets

9.50(12 - k) + 6.50k = 87

95(12 - k + 65k = 870

1140- 95k + 65k = 870

- 30k = -270

k = 9 kids

Answer:

6200 m

Step-by-step explanation:

5000-(-1200)=5000+1200=6200 m

Answer:

the picture answer is 8 km

Step-by-step explanation: im not sure where u got the question from but the pitcure answer is 8 km because one cube means 2 km and there are 4 cubes in total making 4 times 2 be 8 km away

w(t) tells you the amount of water w at a given time t.

The inverse function tells you at which time t the tank contains an amount of water w.

To get the inverse function, solve the equation

w = 80 - 2.8t

for t :

w = 80 - 2.8t

2.8t = 80 - w

t = (80 - w) / 2.8

t ≈ 28.57 - 0.357 w

The graph of w(t) is a downward-sloping line. The graph of the inverse is also a downward-sloping line, but its intercept (28.57) and slope (-0.357) are both smaller than the intercept and slope of w(t).

Answer:

C(t) = 0.55t + 7.75, $30.85

Step-by-step explanation:

the fixed cost is $7.75. this is the cost incurred at zero minutes of the taxi ride

the variable cost or the cost per minutes driven =

(13.25 - 7.77) / (10 - 0) = 0.55

total cost = 7.75 + 0.55t

cost of 42 minutes = 7.75 + 0.55(42) = $30.85