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3 years ago

4(x+3)>24 find interval notation

Mathematics

2 answers:

valina [46]3 years ago

8 0

(3, positive infinity)

Charra [1.4K]3 years ago

7 0

Answer:

3, ∞ hope this helps

Step-by-step explanation:

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PLEASE HELP!!! Two towns are 1100 miles apart. A group of hikers starts from each town and walks down the trail toward each othe

Vinvika [58]

Answer:

2.54 miles/hr

2.04 miles/hr

Step-by-step explanation:

Given: Distance between the two towns = 1100 miles

Difference between speeds = $\frac{1}{2}$ miles/hr

Total time when they meet = 240 hours

To find:

Let distance traveled by first group = $x$ miles.

Now, the distance traveled by second group = (1100- $x$ ) miles/hr

The relation between Speed, Time and Distance is given as:

$\text{Speed =} \dfrac{\text{Distance}}{\text{Time}}$

Let speed of first group = $S_1$

$S_1 = \dfrac{x}{240}$

Let speed of second group = $S_2$

$S_2 = \dfrac{1100-x}{240}$

As per question, $S_1$ = $S_2$ + $\frac{1}{2}$

$\dfrac{x}{240} = \dfrac{1100-x}{240} + \dfrac{1}{2}\\\Rightarrow \dfrac{x}{240} - \dfrac{1100-x}{240} = \dfrac{1}{2}\\\Rightarrow \dfrac{x-1100+x}{240} = \dfrac{1}{2}\\\Rightarrow 2x - 1100 = 120\\\Rightarrow 2x = 1220\\\Rightarrow x = 610 ft$

Now,

$S_1 = \dfrac{x}{240}$

Putting value of $x$ :

$S_1 = \dfrac{610}{240}\\\Rightarrow S_1 = 2.54\ miles/hr$

Similarly, putting value of $x$ in $S_2$ :

$S_2 = \dfrac{1100-610}{240}\\\Rightarrow S_2=\dfrac{490}{240}\\\Rightarrow S_2 = 2.04\ miles/hr$

8 0

3 years ago

Find the measure of θ. (to the nearest tenth) A) 28.8° B) 33.4° C) 61.2° D) 63.4°

riadik2000 [5.3K]

Answer:A:28.8

Step-by-step explanation:

8 0

3 years ago

Subtract: 7' 5" – 2' 8" =

yKpoI14uk [10]

Answer:

4'9"

Method 1:

First, convert both numbers into inches. Remember that 1' = 12", and the rest is like a remainder.

7'5" = (7*12)+5 = 84+5 = 89

2'8" = (2*12)+8 = 24+8 = 32

Next, subtract the two numbers.

89 - 32 = ?

89 - 32 = 57

There's your answer! You can change it back into feet by dividing it by 12.

57 / 12 = 4.75 = 4'9"

Method 2:

Another way of solving this problem is to borrow from the "feet" place.

7'5" - 2'8"

You can't take 8 away from 5, so you borrow from the "feet" place. Remember that unlike normal borrowing, you need to add 12 instead of adding 10.

6'17" - 2'8" = 4'9"

Whichever method you choose, you should get the same answer!

5 0

3 years ago

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I need help with this because I don’t understand

GalinKa [24]

Answer:

x=1+√5 or x=1−√5

Step-by-step explanation:

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3 years ago

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A straight line

Nuetrik [128]

Answer:

y=4x+c

23=4(5) +c

23=20+c

23-20=c

3=c

y=4x+3

Step-by-step explanation:

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3 years ago

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