MATHEMATICS HIGH SCHOOL

Rewrite the equation below so that it does not have fractions. 3/4x+2=5/6 do not use decimals in your answer.

Answers

Answer 1
Answer:

Answer:

18x + 48 = 20

Step-by-step explanation:

Rewrite the equation below so that it does not have fractions. 3/4x+2=5/6 do not use decimals in your answer.

We are given the expression:

3/4x + 2=5/6

= 3x/4 + 2 = 5/6

Rewriting the Equation so that it does not have fraction is, we Multiply both sides by the 24

= 3x/4 × 24 + 2 × 24 = 5/6 × 24

= 3x/4 × 24 + 48 = 5 × 4

= 3x × 6 + 48 = 20

= 18x + 48 = 20

Therefore, the Equation without fractions = 18x + 48 = 20

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Cuboids A and B are similar.The volume of cuboid A is 500cm3.Calculate the volume of cuboid B. surface area of A is 15 cm and surface area of B is 27 cm.

Answers

If two cuboids are similar, it means they have the same shape but can be different in size. The ratio of the corresponding sides of similar objects is the same.

Let's denote the dimensions of cuboid A as follows:

Length of A: L_A

Width of A: W_A

Height of A: H_A

Let's denote the dimensions of cuboid B as follows:

Length of B: L_B

Width of B: W_B

Height of B: H_B

We know that the volume of a cuboid is given by:

Volume = Length × Width × Height

For cuboid A, we have:

Volume of A = L_A × W_A × H_A = 500 cm³

We're also given that the surface area of A is 15 cm². The formula for the surface area of a cuboid is:

Surface Area = 2(L × W + W × H + H × L)

So, for cuboid A:

2(L_A × W_A + W_A × H_A + H_A × L_A) = 15 cm²

Now, let's consider cuboid B. Since the cuboids are similar, their corresponding sides are proportional. Therefore, we can write:

(L_B / L_A) = (W_B / W_A) = (H_B / H_A)

Now, let's consider the surface area of cuboid B:

2(L_B × W_B + W_B × H_B + H_B × L_B) = 27 cm²

We have a system of equations to solve:

L_A × W_A × H_A = 500

2(L_A × W_A + W_A × H_A + H_A × L_A) = 15

2(L_B × W_B + W_B × H_B + H_B × L_B) = 27

L_B / L_A = W_B / W_A = H_B / H_A

We need to solve this system of equations to find the volume of cuboid B. Since the equations are somewhat complex, you may want to use a calculator or a symbolic math software to find the values of L_B, W_B, and H_B that satisfy all of these conditions. Once you have those values, you can calculate the volume of cuboid B using the formula for the volume.

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!how do the liver and pancreas help complete chemical digestion?

Answers

The pancreas produces enzymes that help digest proteins, fats, and carbohydrates. It also makes a substance that neutralizes stomach acid. The liver produces bile, which helps the body absorb fat. Bile is stored in the gallbladder until it is needed. These enzymes and bile travel through special channels (called ducts) directly into the small intestine, where they help to break down food
he pancreas produces the proteases trypsin and trypsinogen which digest proteins into smaller peptide units while carboxypeptidase can digest peptides to amino acids though it's not the main enzyme for this task.

Lipase digests triglyceride fats into their constituent fatty acids and glycerol while amylase breaks down starch into two or three glucose units (maltose and maltotriose) plus small branched glucose units (maltidextrins). 

The panceras also secretes bicarbonate to neutralise the acid contents coming from the stomach and create an alkaline environment which enables pancreatic and small intestine enzymes to work at their optimal speed. 

The liver contributes no digestive enzymes just bile which emulsifies the fats, breaks them up to smaller drops, so as to increase the surface area on which the enzymes can act thus speeding up their digestion.

Six nickels is what percent of one dollar? What percent of $2.00 would it be? Please help.

Answers

6\ nickels=6*\ \$0.05=\$0.30\n\n(0.03)/(1)\cdot100\%=3\%\n\n6\ nickels\ is\ 3\%\ of\ \$1.\n\n(0.03)/(2)\cdot100\%=1.5\%\n\n6\ nickels\ is\ 1.5\%\ of\ \$2.

Share 60 in the ratio 6:4​

Answers

Answer:

36:24

Step-by-step explanation:

6+4=10

60/10=6

6*6:4*6

=36:24

Ex 2.11
20) A curve y''=12x-24 and a stationary point at (1,4). evaluate y when x=2.

Answers

So, dy/dx=0 at the point (1, 4) - that is where x=1 and y=4.

\int { 12x-24dx } \n \n =\frac { 12{ x }^( 2 ) }{ 2 } -24x+C\n \n =6{ x }^( 2 )-24x+C

\n \n \therefore \quad { f }^( ' )\left( x \right) =6{ x }^( 2 )-24x+C

But when x=1, f'(x)=0, therefore:

0=6-24+C\n \n 0=-18+C\n \n \therefore \quad C=18

\n \n \therefore \quad { f }^( ' )\left( x \right) =6{ x }^( 2 )-24x+18

Now:

\int { 6{ x }^( 2 ) } -24x+18dx\n \n =\frac { 6{ x }^( 3 ) }{ 3 } -\frac { 24{ x }^( 2 ) }{ 2 } +18x+C

=2{ x }^( 3 )-12{ x }^( 2 )+18x+C\n \n \therefore \quad f\left( x \right) =2{ x }^( 3 )-12{ x }^( 2 )+18x+C

Now when x=1, y=4:

4=2-12+18+C\n \n 4=8+C\n \n C=4-8\n \n C=-4

\n \n \therefore \quad f\left( x \right) =2{ x }^( 3 )-12{ x }^( 2 )+18x-4

Now when x=2,

f\left( x \right) =2\cdot { 2 }^( 3 )-12\cdot { 2 }^( 2 )+18\cdot 2-4\n \n =16-48+36-4\n \n =0

So when x=2, y=0.
y''=12x-24\ny'=\int 12x-24\, dx\ny'=6x^2-24x+C\n\n0=6\cdot1^2-24\cdot1+C\n0=6-24+C\nC=18\ny'=6x^2-24x+18\n\ny=\int 6x^2-24x+18\, dx\ny=2x^3-12x^2+18x+C\n\n4=2\cdot1^3-12\cdot1^2+18\cdot1+C\n4=2-12+18+C\nC=-4\n\n 2x^3-12x^2+18x-4

y(2)=2\cdot2^3-12\cdot2^2+18\cdot2-4\ny(2)=16-48+36-4\n\boxed{y(2)=0}

The two box plots show the data of the pitches thrown by two pitches throughout the season.Which statement is correct? Check all that apply

Answers

Answer: b and c

Step-by-step explanation:

Answer:

B and C (*^▽^*)

Step-by-step explanation:
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