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3 years ago

What is the solution to this equation? 4(4x + 1) = 3x - 46 - x) + 8

Mathematics

2 answers:

Ganezh [65]3 years ago

7 0

Answer:x=-3.5

Step-by-step explanation:

liubo4ka [24]3 years ago

5 0

Answer:

4(4x+1)=(3x-46-x)+8

16x+4=3x-46-x+8

16x-3x+x=-46-4+8

14x=-42

14x/14=-42/14

x=-3

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Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number

liberstina [14]

Answer:

The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

Step-by-step explanation:

From the first equation:

$20x - 80y = 100$

$20x = 100 + 80y$

$x = \frac{100 + 80y}{20}$

$x = 5 + 4y$

Replacing on the second equation:

$-14x + 56y = -70$

$-14(5 + 4y) + 56y = -70$

$-70 - 56y + 56y = -70$

$0 = 0$

This means that the system has an infinite number of solutions, considering:

$x = 5 + 4y$

$4y = x - 5$

$y = \frac{x - 5}{4}$

The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

8 0

2 years ago

Sound travels about 335 meters/second. How many kilometers would a sound travel in 1 minute?

Lelechka [254]

If sounds travel 335 meters in 1 second , in 1 minute it travels 60 times that distance :

335m × 60 = 20100 meters
Sounds travel 20100 meters per minute
if 1000 meters = 1 km ,
20100 meters = 20100/1000 km
20100 meters = 20.1 Km

Awnser : Sound would travel 20.1 km in one minute

7 0

3 years ago

A one day trip to new york, mary spent $6.25 for breakfast and 8.95 for lunch. She can spend no more than an average of $8.50. H

zysi [14]

Mary spent $10.30 on dinner to stay in budget.

Step-by-step explanation:

Amount spent on breakfast = $6.25

Amount spent on lunch = $8.95

Amount spent on dinner = x

Average = $8.50

Average = $\frac{Sum\ of\ values}{No.\ of\ values}$