Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT occupied by the tennis balls? (Assume the tennis balls touch the can on all sides, top and bottom.) Round to the nearest tenth and show all steps and reasoning.

Answer:

68.75

Step-by-step explanation:

to find the tax you multiply the total by the tax percentage 67.40 x .02 = 1.35

so the total for just tax is 1.35 so you add that to how much the groceries were originally

67.40+1.35=68.75

Answer:

The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].

Step-by-step explanation:

We are given a system of equations:

[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]

[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]

Now, we've solved for y. So, we can substitute this into either equation and solve for x.

[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]

Now, we substitute our value for x into one of the original equations and solve for y.

[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]

Therefore, the solution to our system of equations is:

Answer:

131.25 miles.

Step-by-step explanation:

if 1 inch is equal to 25 miles then you need to multiply 5.25 by 25 which equals 131.25 miles.

The actual distance between two cities is 131.25 miles.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The scale of a map,

1 inch = 25 miles,

Also, the distance between two cities on the map is 5.25 inches.

To find the actual distance in miles.

Use ratio method,

1 inches = 25 miles,

5.25 inches = 25 x 5.25 miles

                    = 131.25 miles

The actual distance between cities is 131.25 miles.

To learn more about Ratio on :

https://brainly.com/question/13419413

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Answer:

2 secs after

Step-by-step explanation:

Given the height of the object modeled by the eqaution;

H(t) = 32T - 16T² where;

T is the time in seconds

The object hits the ground when h(t)= 0

Substitute H = 0 into the equation and get t as shown;

0 =  32T - 16T²

0-32T = -16T²

-32T = -16T²

32T = 16T²

32 = 16T

T = 32/16

T = 2secs

Hence the object hits the ground after 2 secs

Answer:

Ok so its (0,-1),(0.333,0)

Step-by-step explanation:

Time = distance / speed

Time = 3 2/5 miles / 4 miles per hour

Time = 17/5 / 4

Time = 17/5 x 1/4 = 17 x 1 / 5 x 4 = 17/20 hours

17/20 hours x 60 minutes per hour = 51 minutes.

Answer:

The second, third, and fifth one.

Step-by-step explanation:

Home this helps

Answer:

False

Step-by-step explanation:

A reflection does not change the shape of a figure.

For example, If you look into a mirror, you are looking at a reflection of yourself, but your face doesn't change into something else...! :)

Answer:

3.36in

Step-by-step explanation:

The total surface area of the cardboard is expressed as;

TSA = 2(LW + LH + WH)

L is the length = 4in

W is the width

H is the height = 7in

TSA = 130in²

Substitute the given values into the formula and get the width W

TSA = 2(LW + LH + WH)

130 = 2(4W+4(7) + 7W)

130 = 2(11W+28)

130 = 22W+56

22W = 130 - 56

22S = 74

W = 74/22

W = 3.36in

hence the width of the photo is 3.36in

Answer:

Step-by-step explanation:

Step one:

given data

initial height of plane= 20000ft

rate of descending= 25ft per minute

let x be the number of minutes it took the plane to descend

and let y be the height after x minutes

Step two:

Required

the mathematical expression for the height

the expression for the situation mathematically is

y=20000-25x

Answer:

4/5 make me brainliest

Step-by-step explanation:

Answer:

B. 4/5

Step-by-step explanation:

We know that 80% as a fraction is 8/10, but that is not simplified. Both of the numbers have a common factor. We need to divide both by the GCF (Greatest Common Factor). The GCF of both numbers is 2. 8/2 is 4, and 10/2 is 5. That means the answer is 4/5. I hope this helps!

Answer:

D is the correct answer

Step-by-step explanation:

The coordinates of the x axis is always listed first.

On the x axis the line was less than one and more than zero leaving the fraction as the only option.

hope it helps

have a great day

:)

Answer:

Step-by-step explanation: you forgot to attach the file but it should look like this i think

Answer:

slope is 3/4

y-intercept is (0,-3)  Thats where you put your first point on the y-inter on -3

x    y

0   -3

4     0

Put your second point at 4 (on the x)

then your slope is rise /run 3/4

then you should get your line on your graph

Step-by-step explanation:

Answer:

p = −7

Step-by-step explanation:

96=−8(p−5)

96=(−8)(p)+(−8)(−5)(Distribute)

96=−8p+40

Step 2: Flip the equation.

−8p+40=96

Step 3: Subtract 40 from both sides.

−8p+40−40=96−40

−8p=56

Step 4: Divide both sides by -8.

−8p /−8 = 56 /−8

Answer:

3

Step-by-step explanation:

Y OVER X is the answer .

Answer:

8.5% interest would yield $170 annually for a total interest earnings of $513

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(15^3)^3 because the exponent outside of the parentheses multiplies both the 15 and the exponent inside the parentheses, so it's not 15^6, its 15^2 ^6

Answer:

1

Step-by-step explanation:

i think i helped successfully

Answer:

y= 1

Step-by-step explanation:

In the equation, the 1 means that it's the y-intercept

And whenever x is 0, then the y value is the y-intercept

So since x=0, then y=1

Answer:

AB and DE's length are congruent, meaning they are the same.

Step-by-step explanation:

If we made a line between C and F, and flip it on the other side. We would see it is congruent.

Answer:

y=3/2x-8

Step-by-step explanation:

Step 1: Begin by distributing the 3/2 to the parentheses. This would result with 3/2x-6.

Step 2: Subtract both sides by 2 to isolate the variable, y. This would result with y=3/2x-8.

Answer:

4 hope this helps!

Step-by-step explanation:

Answer:

Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:

Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130

El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85

Entonces, el sistema de ecuaciones a resolver es:

[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]

Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo,  x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita,  y . Una vez resuelta, calculas el valor de  x  sustituyendo el valor de  y  ya conocido.

En este caso, en primer lugar despejas x de la segunda ecuación:

x= 85 -3*y

Reemplazando en la primer ecuación:

4*(85-3*y) +2*y=130

y resolviendo obtienes:

4*85 -4*3*y + 2*y=130

340 - 12*y + 2*y=130

-12*y + 2*y=130-340

-10*y=-210

y=(-210)÷(-10)

y=21

Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:

x=85 - 3*21

x=85 - 63

x=22

Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.

Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.

Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol  se debe realizar el siguiente cálculo:

Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.

Aprende más en https://brainly.com/question/22918730

Answer:

The measure of the angle between the vectors = Ф = 11.30°

Step-by-step explanation:

Given

[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]

Next, find the lengths of the vectors:

[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]

u = ⟨2, –3⟩

[tex]\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}[/tex]

     [tex]=\sqrt{13}[/tex]

u = ⟨2, –3⟩

[tex]|v|=\sqrt{1^2+\left(-1\right)^2}[/tex]

    [tex]=\sqrt{2}[/tex]

Finally, the angle is given by:

[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]

cos (Ф) = 5/√26

Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)

Ф = 11.30°

Thus, the measure of the angle between the vectors = Ф = 11.30°

Answer:

The Answer is A. 11.3

Step-by-step explanation:

got it right. Also thats just the letter answer  :)

Answer:

I believe the answer is 210.

Step-by-step explanation:

Answer:

Assume the unknown value is 'Y'

189 = 90% x Y

189 =

90

100

x Y

Multiplying both sides by 100 and dividing both sides of the equation by 90 we will arrive at:

Y = 3 x

100

90

Y = 210%

Answer: 189 is 90 percent of 2

Step-by-step explanation:

theres a another way

189x100÷90 which your answer will give 210

Step-by-step explanation:

I believe it will be B. -318 meters

not entirely sure but that's what I think so hope this help and sorry if I'm wrong