Consider two congruent square prisms each rectangular face of prism A has a width of 2x+3 and each rectangular face of prism B had a length of 4x+6 if each rectangular face of prism A has and area of 25x+25 what is the volume of prism B (round to the nearest whole number)

Answers

Answer 1

Answer:

Step-by-step explanation:

prism A side area is square of side length

(2x + 3)² = 25x + 25

4x² + 12x + 9 = 25x + 25

4x² - 13x - 16 = 0

x = (13 ±√(13² - 4(4)(-16))) / (2(4))

positive answer is

x = (13 +√425)/8 which is approximately 4.20194...

so side length of B is

4((13 +√425)/8) + 6  which is approximately 22.80776...

Volume is side length cubed

V = (4((13 +√425)/8) + 6)³ which is approximately 11,864.4643...

V = 11,864 units³


Related Questions

Mariam only saves quarters and dimes. She has already saved 13 quarters and 5 dimes. She wants to purchase a book that costs 7.75. Not including the money she already has, what combinations of quarters and dimes could Mariam save so she has exactly enough money to buy the book?

Answers

Answer: 8 Quarters, 20 Dimes

Quarters:

Current/ 13

13x25= 3.25

Dimes:

Current/ 5

5x10= 50 …. 50 cents

Current price: $3.75

Need $4.00

What you need:

Quarters: +8

4 = 100 x2 is 200 …. $2.00

Dimes: + 20

10 = 100 x2 is 200 … $2.00

The radius of a circle is 5 ft. Find its circumference in terms of pi

Answers

Answer:

10 pi

Step-by-step explanation:

circumference of the circle equals = 2π R = 2*pi* radius

so circumference = 2*5*π = 10π = 10 pi (in terms of pi)

Answer:

The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is pi (approximately equal to 3.14), and "r" is the radius.

Given that the radius of the circle is 5 inches, we can substitute this value into the formula to find the circumference:

C = 2πr

C = 2π(5)

C = 10π

Therefore, the circumference of the circle is 10π inches.

100 POINTS!
A local theater has a maximum capacity of 1000 people. For their latest production, adult tickets cost $25 and youth tickets cost $12.5. The theater needs to make at least 15,000 for the show to continue.
Write and graph a system of linear equations, and write two possible solutions.

Answers

Answer:

a+y≤1000 and 25a+12.50y>15000

Step-by-step explanation:

Quotient of 0 and 15

Answers

Answer:

15

Step-by-step explanation:

cause the first number is zero so the answer is 15

#happy learning

I think its 0 because 0/15=0

Hope this helped!

I need help with b .

Answers

Answer:

Finding a common denominator is the same as finding a common multiple. You can multiply the denominators by each other, or list out the multiples of each denominator. Multiplying by others' unique factors gives the least common denominator.

i need help on this math problem

Answers

Answer:

I cant Really type the thing out, i posted a screen shot

Step-by-step explanation:

Can someone help me with this question? please

Answers

It is a quadratic equation. (X-8)(x+8)

-17/2 < -1/2 - 4x ≤ 15/2
Please help helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp​

Answers

Given info: -17/2 < (-1/2) - 4x ≤ 15/2

Find the value of x ?

Explanation:

Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2

⇛ -17/2 < (-1-8x)/2 ≤ 15/2

On multiplying with 2 then

⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)

⇛ -17 < -1-8x ≤ 15

On adding 1 in the in-equation then

⇛ -17+1 < -1-8x+1 ≤ 15+1

⇛ -16 < -8x ≤ 16

On dividing by 8 in the in-equation then

⇛ -16/8 < -8x/8 ≤ 16/8

⇛ -2 < -x ≤ 2

⇛ 2 > x ≥ - 2

⇛ -2 ≤ x < 2

⇛ x € [-2,2)

Answer:The solution set = { x : -2 ≤ x < 2, x€R }

The possible values of x = -2,-1,0,1

If you have any doubt, then you can ask me in the comments.

Please hurry, will mark brainliest if you answer correctly

Answers

Answer:

10

Step-by-step explanation:

according to BODMAS

6÷2=3

3+3=6

4^2=16

16-6=10

16.00 is the correct answer

The state of Colorado has 7 representatives in the U.S. House of Representatives. There are a total 435 representatives. What is the percentage of Colorado’s representation?

Answers

Answer:

1,61 %

Step-by-step explanation:

Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100

7/435*100= 1,61 %

Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm

Answers

Answer:

174 cm

Step-by-step explanation:

1.83 m to cm is 183.

So, 183 cm - 9 cm = 174cm

Hope you understand ^^

Answer:

174 cm

Step-by-step explanation:

1 meter is equal to 100 centimeter so 1.83m times 100 is equal to 183cm. so 183 cm-9cm=174 cm

What is the slope and y intercept form of -5x + 3y =-9.
What is the slope and y intercept form of -x +2y =-20
fast help.

Answers

Answer:

y = 5/3x - 3 and y = 1/2x - 10

Step-by-step explanation:

A. -5x + 3y = -9

In order to go from standard to slope-intercept form, we want to isolate y on the left side.  We start by adding 5x to both sides:

3y = -9 + 5x

Next, we divide both sides by 3:

y = (-9 + 5x)/3

And then distribute:

y = -9/3 + 5x/3

And finally simplify:

[tex]y = -3 + \frac{5}{3}x[/tex]

And move the numbers on the right to fit the form y = mx + b:

[tex]y = \frac{5}{3}x-3[/tex]

B. -x + 2y = -20

In order to go from standard to slope-intercept form, we want to isolate y on the left side.  We start by adding x to both sides:

2y = -20 + x

Next, we divide both sides by 2:

y = (-20 + x)/2

And then distribute:

y = -20/2 + x/2

And finally simplify:

[tex]y = -10 + \frac{1}{2}x[/tex]

And move the numbers on the right to fit the form y = mx + b:

[tex]y = \frac{1}{2}x - 10[/tex]

S5 when sn = 19 − 3n

Answers

Answer:

[tex]s(5)=4[/tex]

Step-by-step explanation:

I assume you mean this:

[tex]s(n)=19-3n[/tex]

Plug 5 in for n and solve:

[tex]s(5)=19-3(5)\\s(5)=19-15\\s(5)=4[/tex]

I need help with this :///

Answers

9514 1404 393

Answer:

  f(x) = -3/2x +5

Step-by-step explanation:

The differences between the x-values are all 2.

The differences between the y-values are all -3.

When the ratios of the differences are constant, the function is linear. The slope is ...

  m = Δy/Δx = -3/2

The y-intercept is given by the table value where x=0: b=5.

Then the slope-intercept equation is ...

  f(x) = mx +b

  f(x) = -3/2x +5

What would be the next number in this series? 135 45 180 60 240 80

Answers

Answer:

135/45 =3

180=45 multiple by 4

180/60=3

240=60 multiple by 4

It is divide.by 3 and multiply by 4

hence =80 multiply 4= 320

please help me solve this problem

Answers

The answer for this problem is 72
The answer to this question is 72

Can someone please help me I will mark u brilliant

Answers

Answer:

the whole number 5 goes to the left of the decimal

Step-by-step explanation:

so think about it this way...

I have  10 dots   ..........  that is 1.0 but if I only have 5 of the 10 I have 0.5. if you have anymore questions just ask and ill help

need help with identiifying slope thing i sent

Answers

The correct option is B.. l hope it helped :)

Answer:

The slope is -5 and the y intercept is (0,4)

Step-by-step explanation:

The equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -5x+4

The slope is -5 and the y intercept is (0,4)

You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally
installed. Estimate the cost of having a 24 by 27 ft brick patio installed.

Answers

Answer: 4914

Step-by-step explanation:

multiply 15 and 20 to make 300

multiply 24 and 27 to make 648

set up proportion

[tex]\frac{300}{648}[/tex] × [tex]\frac{2275}{x}[/tex]

cross multiply

300x = 648(2275)

300x = 1474200

x = 4914

Find the volume of a coffee can with r= 7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.

Answers

Answer:

2969 cm³

Step-by-step explanation:

Volume of cylinder is

V=πr²h

=π*7.5²*16.8

=2968.8

=2969 cm³

what is the completely factored form of x^4 - 4x^2 + 8x^3 - 32x + 12x^2 - 48? be sure to show all work.

Answers

Answer:

x^4 + 8x^2 + 8x^3 - 32x - 48

Step-by-step explanation:

You have to group the terms so the only terms that are similar are -4x^2 and +12x^2. -4x^2+12x^2 =+8x^2

There aren't any other similar terms so you can leave it as x^4 + 8x^2 + 8x^3 - 32x - 48

Answer:

x^4 + 8 x^3 + 8 x^2 - 32 x - 48

Hope This Helps!!!

Please hurry will mark brainliest if you answer correctly

Answers

Answer:

24.3

Step-by-step explanation:

Answer:

The answer would be 24.3

The length of a flat-screen tv is 5 inches less than 3 times its width if the perimeter of the tv is 150 inches find the demensions

Answers

Answer:

Length(L) is 55

Width(W) is 20

Step-by-step explanation:

Which of the following is equal to the expression below
(8 - 32014
A 40
B. 30
C 835
D. 1035

Answers

Answer:

C 835Which of the following is equal to the expression below

someone help me with these 2 questions asap!!

Answers

Step-by-step explanation:

we would have needed only one corresponding side length. because for similar triangles all corresponding lines (like sides but also heights and so on) would be related in size by using the same scaling factor.

going from the large to the small triangle : what do I need to multiply the large side length with to get the small one ?

27 × x = 9

x = 9/27 = 1/3

that is the scale factor.

Hi I need help pls
50 points

Answers

Answer:

in the first box i do believe it would be 55 and in the second box it would be 45,

Step-by-step explanation:

Find the nth term of the geometric sequence.

Answers

[tex]a_2 = ar^{2-1} =ar = 6~~ ...(i)\\\\a_4 = ar^{4-1} = ar^3 = 2186 ~~....(ii)\\\\\\(ii)\div (i):\\\\\dfrac{ar^3}{ar} = \dfrac{2186}6\\\\\implies r^2 = \dfrac{2186}6 = \dfrac{1093}3\\\\\implies r = \pm \sqrt{\dfrac{1093}3}\\\\a= \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}}\\\\\text{nth term} = ar^{n-1} = \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( \pm{ \sqrt{\dfrac{1093}3} \right)^{n-1} = \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( { \sqrt{\dfrac{1093}3} \right)^{n-1} \\\\\\[/tex]

[tex]= 6\left(\dfrac{1093}3 \right)^{\tfrac{n-2}2}[/tex]

Answer:

aₙ = (6/19)*19ⁿ⁻¹

Step-by-step explanation:

Given:

a₂ = 6a₄ = 2166

Equation of nth term of GP:

aₙ = a₁rⁿ⁻¹

Substitute for 2nd and 4th terms:

a₂ = a₁r = 6a₄ = a₁r³ = 2166

Substitute the value of a₂ into a₄ and find the value of r:

a₁r³ = a₁r * r² = 6r²6r² = 2166r² = 2166/6r² = 361r = √361r = 19

Find the first term:

a₁r = 6a₁*19 = 6a₁ = 6/19

The equation of nth term is:

aₙ = (6/19)*19ⁿ⁻¹

3x + 4 = 16 what is x?

Answers

Answer:

x = 4

Step-by-step explanation:

3x + 4 = 163x = 16 - 43x = 12x = 12/3x = 4

Help ASAP PLEASSEEEEE for 30 points

Answers

First picture:

5). 343

Second Picture:

1). 89

2). -26

3). 20

4). 62

Third Picture:

Equation 1: Associative

Equation 2: Commutative

Equation 3: Associative

Equation 4: Distributive

Equation 5: Commutative

Equation 6: Associative

Last Picture:

1). B).

2). C).

Please mark Brainleist

Hey everybody!
Can somebody please help me put with this problem?
I would really appreciate it if you could! Take a look!​

Answers

Answer: f(2) = 1

Explanation: y = mx + b
f(x) = mx + b
m = 1
b = -1
f(x) = x - 1
f(2) = 2 - 1
f(2) = 1
I’m not sure if I’m right
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