Solve the inequality 12x + 3(x+7) >10x-24

Solve for k: k over 6.12 = 8.7 1. k = 53.244 2. k = 1.42 3. k = 2.58

brilliants [131]

Answer:

1. k=53.244 or k=13311/250

5 0

2 years ago

Many people are surprised to find that math is found in the Bible in many places. God created all things and sustains all things

uranmaximum [27]

Answer:

Solid 1:

T.A. = 2(wl + hl + hw)

T.A. = 2(2 * 8 + 4 * 8 + 4 * 2)

T.A. = 2(16 + 32 + 8)

T.A. = 32 + 64 + 16

T.A. = 96 + 16

T.A. = 112m^2

V = w * h * l

V = 2 * 4 * 8

V = 8 * 8

V = 64m^3

M = 0.003 * 64

M = $0.19

Solid 2:

T.A. = l sqr(l^2 + 4 * h^2) + l^2

T.A. = 6 sqr(6^2 + 4 * 5^2) + 6^2

T.A. = 106m^2

V = 1/3 * b * h

V = 1/3 * 36 * 5

V = 12 * 5

V = 60m^3

M = 0.003 * 60

M = $0.18

Solid 3:

T.A. = (2 * pi * r^2) + (2 * pi * r * h)

T.A. = (2 * pi * 2.5^2) + (2 * pi * 2.5 * 3.5)

T.A. = (2 * pi * 6.25) + (2 * pi * 2.5 * 3.5)

T.A. = 39.27 + 54.98

T.A. = 94.25m^2

V = pi * r^2 * h

V = pi * 2.5^2 * 3.5

V = pi * 6.25 * 3.5

V = pi * 21.88

V = 68.72m^3

M = 0.003 * 68.72

M = $0.21

Solid 4:

T.A. = pi * r^2 + pi * r * sqr(r^2 + h^2)

T.A. = pi * 4^2 + pi * 4 * sqr(4^2 + 6^2)

T.A. = pi * 16 + pi * 4 * sqr(16 + 36)

T.A. = 50.26 + 12.56 * sqr(52)

T.A. = 62.82 * sqr(52)

T.A. = 140.9m^2

V = 1/3 * pi * r^2 * h

V = 1/3 * pi * 4^2 * 6

V = 1/3 * pi * 16 * 6

V = 1/3 * pi * 96

V= pi * 32

V = 100.5m^3

M = 0.003 * 100.5

M = $0.30

Solid 5:

T.A. = 4 * pi * r^2

T.A. = 4 * pi * 2.6^2

T.A. = 4 * pi * 6.76

T.A. = pi * 27.04

T.A. = 84.95m^2

V = 4/3 * pi * r^3

V = 4/3 * pi * 2.6^3

V = 4/3 * pi * 17.576

V = pi * 23.434

V = 73.62m^3

M = 0.003 * 73.62

M = $0.22

Write a paragraph that answers the following questions:

● Do all of the solids hold between 60 and 70 cubic inches?

● Which solid is the most cost efficient (the packaging with the smallest materials cost that holds between 60 and 70 cubic inches)?

● Would the Ark be most cost efficient solid for packaging? Why or why not?

● Which solid would you recommend using? Why?

● Why do you think that God was very specific in the measurements that He gave Noah for the Ark? Be sure to use some of your findings from this project to support your answer.

Of the five shapes, only the rectangular prism, the square pyramid, and the cylinder held between 60 and 70 cubic inches. The square pyramid was the most cost efficient, holding a price of $0.18. A rectangular prism would not be the most efficient shape cost wise, however it would be sufficient to hold the materials. I think I would recommend the rectangular prism for this project, because it is the second most cost efficient and holds a greater volume for use. I think God gave Moses the exact plans needed to perfectly fit all his animals. I think he wanted to prove to Moses his power and knowledge by providing the exact amount needed. In this project I took the measurements and I used them to discover which was best suited to serve the purpose needed, but God already knew and used it as a lesson in faith for Moses.

Step-by-step explanation:

7 0

2 years ago

3(2x-3)=2 Solve the following linear equation by first expanding the brackets

amm1812

$3(2x-3)=2\\6x-9=2\\$

hope this helps

5 0

3 years ago

Discrete Mathematics I

faust18 [17]

ANSWER

The general solution is $86+280n$ , where $n$ is an integer

EXPLANATION

In order to solve the linear congruence;

$33x \equiv 38(mod\:280)$

We need to determine the inverse of $33$ (which is a Bézout coefficient for 33).

To do that we must first use the Euclidean Algorithm to verify the existence of the inverse by showing that;

$gcd(33,\:280)=1$

Now, here we go;

$280=8\times33+16$

$33=2\times 16+1$

$16=2\times 8+0$

The greatest common divisor is the last remainder before the remainder of zero.

Hence, the $gcd(33,\:280)=1$ .

We now express this gcd of 1 as a linear combination of 33 and 280.

We can achieve this by making all the non zero remainders the subject and making a backward substitution.

$1=33-2\times 16--(1)$

$16=280-33\times8--(2)$

Equation (2) in equation (1) gives,

$1=33-2\times (280-8\times33)$

$1=33-2\times 280+16\times33$

$1=17\times33-2\times 280$

The above linear combination tells us that $17$ is the inverse of $33$ .

Now we multiply both sides of our congruence relation by $17$ .

$17\times 33x \equiv 17\times 38(mod\:280)$

This implies that;

$x \equiv 646(mod\:280)$

$x \equiv 86$ .

Since this is modulo, the solution is not unique because any integral addition or subtraction of the modulo (280 in this case) produces an equivalent solution.

Therefore the general solution is,

$86+280n$ , where $n$ is an integer

6 0

3 years ago

Read 2 more answers

What is 468 ÷ 6 step by step guide?

Degger [83]

Answer:

78 is the answer.

Step-by-step explanation:

468 ÷ 6 = 78.

Open PDF file for work. Sorry for bad mouse-writing.