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4 years ago

Solve the inequality. Explain all steps and identify the properties used. 3a-4<_ 5

1 answer:

3 0

Well, you want to solve for a. You first add the 4 to both sides.
3a-4<5
3a<9
Then you want to get a by itself so you divide both sides by 3. Since the 3 is positive you don't have to worry about switching the sign. It stays this way <

After you divided both sides by 3 you get a<3

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HELP PLZZZZZZZZZZZZZZ

r-ruslan [8.4K]

Answer:

True

Step-by-step explanation:

They are parallel because they will never intersect.

Hope this helps!

•••••••••••••••••••••••••••••••
Correct me if my answer
is incorrect, thank you!

6 0

3 years ago

If 12 is replaced with 3 in the following set what will happen with the value of the range 28,45,12,34,36,45,19,20

nordsb [41]

Answer:

The interquartile range remains the same.

Step-by-step explanation:

Interquartile range is the difference between first and third quartile.

I.Q.R.=Q_3-Q_1

The given data is

28, 45, 12, 34, 36, 45, 19, 20

Arrange the data is ascending order.

12, 19, 20, 28, 34, 36, 45, 45

(12, 19, 20, 28), (34, 36, 45, 45)

(12, 19), (20, 28), (34, 36), (45, 45)

The first quartile is midpoint of 19 and 20 and the third quartile is the midpoint of 36 and 45.

Q_1=\frac{19+20}{2}=19.5

Q_3=\frac{36+45}{2}=40.5

I.Q.R.=Q_3-Q_1

I.Q.R.=40.5-19.5=21

The interquartile range of given data is 21.

If 12 is replaced with 3 in the following set, then the given data is

3, 19, 20, 28, 34, 36, 45, 45

(3, 19, 20, 28), (34, 36, 45, 45)

(3, 19), (20, 28), (34, 36), (45, 45)

The first quartile is midpoint of 19 and 20 and the third quartile is the midpoint of 36 and 45.

Q_1=\frac{19+20}{2}=19.5

Q_3=\frac{36+45}{2}=40.5

I.Q.R.=Q_3-Q_1

I.Q.R.=40.5-19.5=21

The interquartile range of given data is 21.

The interquartile range remains the same. Therfore option 3 is correct

8 0

3 years ago

Read 2 more answers

Do you believe in love at first sight—or should I walk by again?

Kisachek [45]

Answer:

Thx for free points lol

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop

Irina18 [472]

Answer:

The cost is $75

Step-by-step explanation:

Given

$y = 25x$

Required

Cost of 3 cubic yards -- Missing from the question

The required means that: $x = 3$

Plug in $x = 3\\$ to $y = 25x$

$y = 25 * 3$

$y = 75$

The cost is $75

5 0

3 years ago

A pilot can travel for 140 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the w

quester [9]

Answer:

-88 mph

Step-by-step explanation:

We can use the relation ...

time = distance/speed

to compare the times in the two directions.

$\dfrac{140}{200+w}=\dfrac{360}{200-w}\\\\140(200-w)=360(200+w)\\\\200(140-360)=w(360+140)\\\\w=\dfrac{200(-220)}{500}=-88 \quad\text{miles per hour}$

The wind speed is -88 miles per hour.

_____

The problem statement tells us the travel is slower with the wind than against the wind. Hence "with the wind" must be subtracting from the net speed. That is, the wind speed is negative.

4 0

4 years ago