Carly loves to run while Riley prefers walking. Carly can run 3 miles per hour faster
than her sister Riley can walk the same distance. If Carly ran 15 miles in the same time
it took Riley to walk 9 miles, which equation can be used to find the speed of each
sister?

Answer: 24 inches

Step-by-step explanation:

Let the radius be represented by x

Therefore, the height will be = 2×x = 2x

Volume of a cylinder = πr²h

where, Volume = 3500

π = 3.14

r = x

h = 2x

We then slot in the values into the formula

Volume = πr²h

3500 = 3.14 × x² × 2x

3500 = 3.14 × 2x²

2x² = 3500 / 3.14

2x² = 1114.65

Divide through by 2

x² = 1114.65 / 2

x² = 557

x = ✓557

x = 23.6 = 24 approximately

The radius is 24 inches

Answer:

4

Step-by-step explanation:

She can buy 4 bracelets because 4 x 9.50 = 38 + 12 = 50. So 4 would fit her budget perfectly without going over. LEt me know if you find any fault in my answer! Thanks! Have a good day! Hope this helps!

Answer:

14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

Answer:

h = 16x

Step-by-step explanation:

The volume of a sphere and a cone is same such that,

[tex]V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi R^2h[/tex]

We have, r = x, R = (1/2)x, h= ? (height of the cone)

So,

[tex]\dfrac{4}{3}\pi x^3=\dfrac{1}{3}\pi (\dfrac{x}{2})^2h\\\\4x^3=\dfrac{x^2}{4}h\\\\h=\dfrac{16x^3}{x^2}\\\\h=16x[/tex]

So, the height of the cone is equal to 16x.

Answer:

x = 4

Step-by-step explanation:

Eliminate y by setting the first equation equal to the second:

2x - 7 = -x + 5

Combining like terms, we get:

3x = 12, so that x must be 4.

Answer:

3

Step-by-step explanation:

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

Answer: 3/5 or 0.6

Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot.  If you divide 3 by 5 you get 0.6.

Answer:

Queen Marie Antoinette

Answer:

Step-by-step explanation:

(x + y) 2

x2 + 2xy + y2

Answer:

Step-by-step explanation:

This is an example of "the square of a binomial."  There is a formula for such cases;

(a + b)^2 = a^2 + 2ab + b^2 (worth memorizing)

Thus, our (x + y)^2 = x^2 + 2xy + y^2

Answer:

Adjacent

x = 14

Step-by-step explanation:

Find the diagram attached

Adjacent angles places side by side and can also be on the same straight line. Since 5x and x+96 are on the same straight line ans placed side by side, then the angles are adjacent.

The sum of angle on a straight line is 180 degrees, hence;

5x + x+ 96 = 180

6x = 180 - 96

6x = 84

x = 84/6

x =14

The value of x s 14

Answer:

Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.

Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.

So since 6a^2=6

Solve

a^2=1

a=1

SO each side is equivalent to 1

Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)

Answer:

V = 1

Step-by-step explanation:

A=6a2

V=a3

Solving for V

V=6A3/2

36=6·63/2

36÷6 = 1

V = 1

Answer: 62

Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.

Answer

adding 2

Step-by-step explanation:

Median is 8

I don't know if this is correct but I tried.

Answer:

It is p = 1

Step-by-step explanation:

p⁰=1 because it is basically saying and when simplifying fractional exponents we can flip the bottom exponent up to the top if we change the sign, leaving us with : (p⁵-p⁵)=p⁰

Answer:

Step-by-step explanation:

Given equation:

To solve this, express each side of the equation as different function and find the intersection of graphs of those functions:

As per graph, the solution is:

Break into two parts

Now graph and find the solution

Answer:

1) 6447,55 unități pătrate

2) 25192,43 unități cubice

Step-by-step explanation:

1) Suprafața totală a unui cilindru

Formula = 2πr (r + h)

r = 27 de unități

h = 11 unități

Suprafața totală = 2 × π × 27 × (27 + 11)

= 6446.54813 unități pătrate

Aproximativ = 6447,55 unități pătrate

2) Volumul cilindrului

Formula = πr²h

= π × 27² × 11

= 25192,43 unități cubice

Answer:

46655

Step-by-step explanation:

[tex]75250 \cdot \frac{62}{100} = 46655[/tex]

Answer:

=6x−3

Step-by-step explanation:

Let's simplify step-by-step

4x+3(2x−1)−4x

Distribute:

=4x+(3)(2x)+(3)(−1)+−4x

=4x+6x+−3+−4x

Combine Like Terms:

=4x+6x+−3+−4x

=(4x+6x+−4x)+(−3)

=6x+−3

Answer:

6x - 3

Step-by-step explanation:

4x + 3(2x - 1) - 4x

Distribute, multiply every term inside the parenthesis by the term outside of it,

4x + (3)(2x) + (3)(-1) - 4x

Simplify,

4x + 6x - 3 - 4x

Simplify further, combine like terms,

6x - 3

answer is D

from y-y'=m(x-x') ,where m is slope and x' and y' are our points then ;

given are;

m=5, x' =1 and y' =9

By substituting our given

y-9=5(x-1)

Answer:

18+2x>_0

18/2 + 2x/2

x= 9

Step-by-step explanation:

first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

Answer:

3.92yd

Step-by-step explanation:

pi r²÷2

pi 2.5²÷2=3.92

Answer:

The answer is 256

Step-by-step explanation:

You just have to get the divisor  

(

40

)

and multiply by the quotient  

(

6

)

, then add the remainder  

(

16

)

.

So we have:  

(

40.6

)

+

16

=

256

The number is 276.

Let us assume that the number is N.

So according to the question we can say that

N= 15(18) +1

because dividend= divisor x (quotient) + remainder and quotient is odd.

 So now, N (on expanding) =15 × 18 + 5

                                              = 275

So if N is divided by 15 the remainder would be  275+1=276.

Learn more about Parts of a Division Problem brainly.com/question/15305334 here.

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