Draw a number line to show that 2/3 and 4/6 are equivalent

Answers

Answer 1

Answer: 1/8 1/6 1/5 1/4 1/3 1/2 2/3 3/4

You can figure this out looking at the decimals.

Use the decimals which you already have. That makes it easy:

0.125 < 0.166... < 0.200 < 0.250 < 0.333... < 0.500 < 0.666... < 0.750

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can someone please help me I've been trying to get an answer for almost 30 mins, I've attached 4 questions and giving out 15 points. Please help! (geometry high school level)

Answers

Answer:

1. 617.5 cm³

2. 335.6 in³

3. 151.6 m³

4. 3479.1 ft³

Step-by-step explanation:

B1: 19.5 × 9 = 175.5

B2: 6 × 13 = 78

sqrt(B1 ×B2) = 117

h = 5

Volume = ⅓ × 5 × [175.5 + 78 + 117]

617.5

B1: 3.14 × 4.5² = 63.585

B2: 3.14 × 3² = 28.26

sqrt(B1 ×B2) = 42.39

h = 7.5

Volume = ⅓ × 7.5 × [63.585 + 28.26 + 42.39]

335.5875

B1: ½(8+12) × 6 = 60

B2: ½(3+4.5) × 2.25 = 8.4375

sqrt(B1 ×B2) = 22.5

h = 5

Volume = ⅓ × 5 × [60 + 8.4364 + 22.5]

151.5625

B1: 3.14 × 12² = 452.16

B2: 3.14 × 7² = 153.86

sqrt(B1 ×B2) = 263.76

h² = 13² - (12-7)²

h² = 13² - 5²

h² = 144

h = 12

Volume = ⅓ × 12 × [452.16 + 153.86 + 263.76]

3479.12

1/3(2x-4)+5=-2/3(x+1)

Answers

$(1)/(3) (2x-4)+5=- (2)/(3)(x + 1) \n \n (2x-4)/(3) +5=- (2)/(3) (x + 1) \n \n (2x-4)/(3) +5=- (2(x + 1))/(3) \n \n 2(x - 2) + 15 = -2(x + 1) \n \n 2x - 4 + 15 = -2x - 2 \n \n 2x + 11 = -2x - 2 \n \n 2x + 11 + 2x = -2 \n \n 4x + 11 = -2 \n \n 4x = -2 - 11 \n \n 4x = -13 \n \n x = - (13)/(4) \n \n Answer: \fbox {x = -13/4} \ or \ \fbox {-3.25}$

$(1)/(3)(2x-4)+5=-(2)/(3)(x+1)\n\n3 *[ (1)/(3)(2x-4)+5] = 3* -(2)/(3)(x+1)\n\n(2x-4) + 15 = -2(x+1)\n\n2x - 4 + 15 = -2(x+1)\n\n2x + 11 = -2(x+1) \n\n2x + 11 = -2x -2\n\n4x + 11 = -2\n\n4x = -13\n\n\boxed{\bf{x = -(13)/(4)}}$

The rectangular room is 10.25 feet long, 8 feet wide . 4 feet high, what volume of compacted trash will the dumpster hold?

Answers

Answer:

Dumpster will hold a volume of 328 $ft^3$ compacted trash.

Step-by-step explanation:

Given

Length of rectangular room: 10.25 ft

Width of rectangular room: 8 ft

Height of rectangular room:4 ft

Now,

Volume of the rectangular room = $length * width * height = 10.25 * 8 * 4= 328\ ft^3$

How do I solve this problem?

Answers

Answer:

f(8) = -9

Step-by-step explanation:

f(x) = -2x+7

f(8) means let x=8

f(8) = -2(8) +7

=- 16+7

= -9

f(8) = -9

There are students in a small class. To make a team, the names of of them will be drawn from a hat. How many different teams of students are possible?

Answers

$e.g\na\ small\ class\ has\ 15\ students\ and\ we\ will\ choose\ 3-person\ team\n\nthe\ number\ of\ possible\ teams\ is\n\n {n \choose k}={15 \choose 3}= (15!)/(3!\cdot(15-3)!)= (12!\cdot13\cdot14\cdot15)/(2\cdot3\cdot12!) = (13\cdot2\cdot7\cdot3\cdot5)/(2\cdot3) = 13\cdot7\cdot5=455$

2{ 5[12+5 (500 - 100)+399]}

Answers

This is solved by breaking the equasion down.

2 { 5 [12 + 5 (500 - 100) + 399 ]}

2 { 5 [12 + 5 (400) + 399]}

2 { 5 [12 + 2000 + 399]}

2 { 5 [2411]}

2 {12055}

24110

Is this the answer you were looking for?

2(5(12+5(500−100)+399))

=2(5(12+(5)(400)+399))

=2(5(12+2000+399))

=2(5(2012+399))

=2(5)(2411)

=(2)(12055)

=24110

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