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3 years ago

Examine (a), (b), and (c) and select the correct answer.

Mathematics

1 answer:

meriva3 years ago

8 0

First: solve the expressions

(a) 11-(6+3)= 11-9= 2

(b) (8-2)-3= 6-3=2

Next: plug them in to the choices

a. (2)+(2)=11 (this is not true so this is wrong)

b. (11)-(2)<2 (this is not true so it is wrong)

c. (2)>(11) (this is not true so this is wrong)

d. (11)>(2)+(2) (this is true so this is your answer)

your answer is D... Hope this helps :)

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ivolga24 [154]

Answer:

i think its green

Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

1. A train traveled at an average speed of 23 miles per hour for 6 hours and 20 miles per hour for 8 hours. The total number mil

LekaFEV [45]

Answer:

298 miles

Step-by-step explanation:

23 x 6 = 138

20 x 8 = 169

169 + 138= 298

5 0

3 years ago

The length, width, and height of a rectangular box are represented by 2x, 3x + 1, and 5x - 6, respectively. When the volume is e

natali 33 [55]

Answer:

The coefficient of the 2nd term is - 26

Step-by-step explanation:

<em>Standard form of polynomial means its terms are ordered from greatest exponent to smallest exponent </em>

<em>The leading coefficient in polynomial is the coefficient of the first term in a polynomial in standard form</em>

∵ The length, width, and height of a rectangular box are

represented by 2x, 3x + 1, and 5x - 6

∴ l = 2x , w = 3x + 1 , h = 5x - 6

The formula of the volume of a rectangular box is V = l × w × h

∵ V = 2x(3x + 1)(5x - 6)

- multiply the two brackets at first

∵ (3x + 1)(5x - 6) = (3x)(5x) + (3x)(-6) + (1)(5x) + (1)(-6)

∴ (3x + 1)(5x - 6) = 15x² + (-18x) + 5x + (-6)

- Add the like terms

∴ (3x + 1)(5x - 6) = 15x² + (-18x + 5x) + (-6)

∴ (3x + 1)(5x - 6) = 15x² + (-13x) + (-6)

- Remember (-)(+) = (-)

∴ (3x + 1)(5x - 6) = 15x² - 13x - 6

Substitute it in V

∴ V = 2x(15x² - 13x - 6)

- Multiply each term in the bracket by 2x

∴ V = 2x(15x²) - 2x(13x) - 2x(6)

∴ V = 30x³ - 26x² - 12x ⇒ in standard form

∵ The second term in the polynomial is - 26x²

∴ Its coefficient is - 26

∴ The coefficient of the 2nd term is - 26

3 0

3 years ago

You need a 25% alcohol solution. On hand, you have a 225 mL of a 35% alcohol mixture. How much pure water will you need to add t

Radda [10]

You will need 252 mL of pure water to obtain 0.25 mL of the desired 25% solution.

If we add X amount of water to the solution, the total amount of solution is 375+X.

And that must be 25%.

<h3>What is the amount of solute in the current solution?</h3>

The amount of solute in the current amount of solution is

0.6(375)=225.

That amount won't change by adding water.

So we set up the equation so that the amount of solute divided by the new total amount of solution equals 25%.

225/(375+X)=0.25

cross multiply and solve

225/0.25=(375+X)

900-375=X

X=525

The pure water will you need to add to obtain the desired solution is 525.

Then we check 225/(375+525)=0.25.

To learn more about the mixture problem visit:

brainly.com/question/24647756

#SPJ1

7 0

2 years ago

Keisha, Scott, and Ryan have a total of $101 in their wallets. Keisha has $6 more than Scott. Ryan has 3 times what Scott has. H

Yuri [45]

Answer:

Keisha =$25

Scott =$19

Ryan = $57

Step-by-step explanation:

Let the amount each have be represented by A, B and C

Keisha = A

Scott = B

Ryan = C

Keisha , Scott and Ryan have a total of $101.

That’s

A + B + C = $101

Keisha has $6 more than Scott

A = 6 + B

Ryan has 3 times Scott

C = 3B

Substitute 6+B for A and 3B for C in the first equation.

That’s

A + B + C = 101

6 + B + B + 3B = 101

6 + 5B = 101

Subtract 6 from both sides

6 - 6 + 5B = 101 - 6

5B = 95

Divide both sides by 5

B = 95/5

B = 19

Scott has $19

Recall Keisha has $6 more than Scott B.

That’s A = 6 + B

A = $6 + $19

A = $25

Keisha has $25

Also, Ryan C has 3 times what Scott B has .

That’s

C = 3 x B

C = 3 x 19

C = $57

Therefore, Keisha has $25, Scott has $19 and Ryan has $57

3 0

3 years ago