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3 years ago

Solve the following inequalities 7 x minus 5 / 8 x + 3 >4

Mathematics

2 answers:

olchik [2.2K]3 years ago

7 0

Answer:

$x> \frac{8}{51}$

Step-by-step explanation:

$7x - \frac{5}{8} x + 3>4$

Bring constants to one side, simplify:

$\frac{51}{8} x>4 - 3 \\ \frac{51}{8} x>1 \\ x>1 \div \frac{51}{8} \\ x>1 \times \frac{8}{51} \\ x> \frac{8}{51}$

*Note that the inequality sign only changes when you divide the whole inequality by a negative number.

GREYUIT [131]3 years ago

7 0

Answer:

$x>\frac{8}{51}$

Step-by-step explanation:

$7x-\frac{5}{8}x+3>4\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\7x-\frac{5}{8}x+3-3>4-3\\\mathrm{Simplify}\\7x-\frac{5}{8}x>1\\\mathrm{Multiply\:both\:sides\:by\:}8\\7x\times \:8-\frac{5}{8}x\times \:8>1\times \:8\\\mathrm{Simplify}\\56x-5x>8\\51x>8\\\mathrm{Divide\:both\:sides\:by\:}51\\\frac{51x}{51}>\frac{8}{51}\\\\x>\frac{8}{51}$

I hope it helps :)

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Nadusha1986 [10]

Answer:

x=70

y=75

Step-by-step explanation:

2x+x+5-35=180

3x-30=180

3x=210

x=70

2(70)-35=105

180-105=75

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3 years ago

This makes no sense and I really need help on this lesson. p(c) = ?

ad-work [718]

Answer:

0.18

Step-by-step explanation:

C is a subpath of A,

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3 years ago

Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti

almond37 [142]

Answer:

Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

Step-by-step explanation:

Relative Speed

When a body is moving at a constant speed v, the distance traveled in a time t is:

$d=v.t$

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

x = Roberto's rowing speed in still water

y = Speed of the river current

The speed when rowing downstream is x+y, thus the distance traveled is

$d=(x+y).t_1$

Where t1=2.5 hours. Substituting values:

$20=(x+y)*2.5$

Rearranging, we find the downstream equation:

$2.5x+2.5y=20\qquad[1]$

The speed when rowing upstream is x-y, and the distance traveled is

$d=(x-y).t_2$

Where t2=5 hours. Substituting values:

$20=(x-y)*5$

Rearranging, we find the upstream equation:

$5x-5y=20\qquad[2]$

Multiplying [1] by 2:

$5x+5y=40$

Adding this equation to [2]:

$10x=60$

Solving:

$x=60/10=6$

Dividing [2] by 5:

$x-y=4$

Solving for y

$y=x-4=6-4=2$

Thus, Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

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3 years ago

a person driving along the road moves rates of 56 miles per hour driven.How far does the person drive in 1.5 hours?

tester [92]

56 miles : 1 hour
/2. /2
28 miles : 30 minutes
56+28. 1h+30m
84 miles : 1 hour 30 minutes

84 is the answer

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3 years ago

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Mr. Walker needs to purchase another pair of Crocs. He got an email coupon for 20% off an de free shipping at Shoebye.com. The p

emmainna [20.7K]

Answer: Shoebuy.com

Step-by-step explanation:

20% of $49.00 is $9.8. When you subtract $9.80 from $49, you end up with $39.2. Now to look at Crocs.com, in order to get the total, add the price of the shoes, $35 and the shipping cost, $4.30, you'll end up with $39.30. Because Shoebuy is $.10 less than Crocs.com, it is the better choice.

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3 years ago

Solve the following inequalities 7 x minus 5 / 8 x + 3 >4​

Solve the following inequalities 7 x minus 5 / 8 x + 3 >4