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3 years ago

7

Solve. x/2 - 7/6 < 4/3 x>-5 x>5 x<5 x<-5

1 answer:

Fantom [35]3 years ago

3 0

Answer:

Answer is X<5

Please mark me brainliest

Step-by-step explanation:

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What is the value of the expression 10 5/8 - (1/2) + 2(4)?

swat32

Answer:

m

Step-by-step explanation:

7 0

3 years ago

A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu

Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

$a = \sqrt{f + 4} - \sqrt{36 - f}$

Required

Find f when a = 4

Substitute 4 for a

$4 = \sqrt{f + 4} - \sqrt{36 - f}$

Rewrite as:

$\sqrt{36 - f} + 4 = \sqrt{f + 4}$

Square both sides

$(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2$

$(\sqrt{36 - f} + 4)^2 = f + 4$

$36 - f + 8\sqrt{36 - f} + 16 = f + 4$

Collect Like Terms

$8\sqrt{36 - f}= f +f+ 4 - 36 -16$

$8\sqrt{36 - f}= 2f -48$

Divide through by 2

$4\sqrt{36 - f}= f -24$

Square both sides

$16(36-f) = (f - 24)^2$

$16(36-f) = f^2 - 48f + 576$

$576-16f = f^2 - 48f + 576$

$-16f = f^2 - 48f$

Collect like terms

$f^2 - 48f + 16f = 0$

$f^2 -32f = 0$

Factorize

$f(f - 32) = 0$

$f = 0$ or $f = 32$

f can not be 0 because some units must be ordered.

So, f = 32

6 0

3 years ago

A young sumo wrestler goes on a special diet to gain weight.

Ilia_Sergeevich [38]

Answer:

10.8 kg

Step-by-step explanation:

w = 80 + 5.4t

At time 0, when he starts the diet, his initial weight is

w = 80 + 5.4(0)

w = 80

80 kg.

After 2 months, t = 2. His weight is

w = 80 + 5.4t

w = 80 + 5.4(2)

w = 80 + 10.8

w = 90.8

90.8 kg.

His gain in 2 months was 90.8 kg - 80 kg = 10.8 kg

Answer: 10.8 kg

8 0

3 years ago

Read 2 more answers

The scatterplot shows how much time diners at the Blue Moon Steakhouse spend eating their meals compared to the number of guests

NNADVOKAT [17]

Answer:

A

Step-by-step explanation:

5 0

3 years ago

You are painting your house this summer. If the spot you are trying to reach is 15 feet up the side of the house and you can ext

Nezavi [6.7K]

Answer:

16.2 ft

Step-by-step explanation:

use pythagorean theorem

a² + b² = c²

6² + 15² = c²

36 + 225 = c²

261 = c²

Take ther square root of both sides

16.155494421403512 = c

Rounded

16.2 ft

8 0

3 years ago