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3 years ago

Please help me. X/6 ≥ 7. I also need to know how this would be graphed thank you.

Mathematics

2 answers:

BigorU [14]3 years ago

6 0

Answer: The inequality solves to x ≥ 42

The graph is shown below

==================================================

Explanation:

We have some unknown number x, and we're dividing by 6 to form the fraction x/6. That result is 7 or larger which means we write x/6 ≥ 7

To solve for x, we undo the division. We'll multiply both sides by 6. That's how we get to x ≥ 42

The graph will involve a number line. Plot a closed filled in circle at 42 on the number line. Shade to the right. This visually represents any number that is 42 or larger. The endpoint 42 itself is included in the solution set.

Side note: We would use an open circle if we didn't have the "or equal to" portion for the inequality sign.

Nady [450]3 years ago

4 0

Answer:

The inequality solves to x ≥ 42

The graph is shown below

==================================================

Step-by-step explanation:

We have some unknown number x, and we're dividing by 6 to form the fraction x/6. That result is 7 or larger which means we write x/6 ≥ 7

To solve for x, we undo the division. We'll multiply both sides by 6. That's how we get to x ≥ 42

Side note: We would use an open circle if we didn't have the "or equal to" portion for the inequality sign.

Step-by-step explanation:

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You own a small storefront retail business and are interested in determining the average amount of money a typical customer spen

Inga [223]

Answer:

Step-by-step explanation:

Hello!

The Confidence intervals for the population mean to follow the structure "point estimation"±" margin of error"

You as the store owner took a sample to determine the average amount of money a typical customer spends on your shop.

n= 26 customers.

X[bar]= $77.506

S= $11.0714

Assuming the variable X: the amount of money spent by a typical customer has a normal distribution and that there is no information about the population standard deviation, the best statistic to use for this estimation is a Students-t:

[X[bar] ± $t_{n-1;1-\alpha /2}$ * $\frac{S}{\sqrt{n} }$ ]

$t_{n-1; 1-\alpha /2}= t_{25; 0.995}= 2.787$

The margin of error of the interval is:

d= $t_{n-1;1-\alpha /2}$ * $\frac{S}{\sqrt{n} }$

$d= 2.787 * \frac{11.0714}{\sqrt{26} }$

d= 6.051

I hope it helps!

4 0

4 years ago

The ares of a rectangle is 46 square inches, if the length is 4 times the width , the find the dimensions of the rectangle.

kiruha [24]

Answer:

$\sqrt{11.5} =w$ (Width)

$4\sqrt{11.5}= Length$

Step-by-step explanation:

Area of a rectangle: 46 = w(L)

L = 4w

Substitute

46 = 4 $w^{2}$

Divide both by 4

$11.5=w^{2}$

$\sqrt{11.5} =w$ (Width)

$4\sqrt{11.5}= Length$

8 0

3 years ago

Martha has 8 cubic feet of potting soil and 3 flower pots. She wants to put the same amount of soil in each pot. How many cubic

GrogVix [38]

Answer:

2 2/3 cubic feet

Step-by-step explanation:

Martha will put 1/3 of the 8 cubic feet in each pot. That is ...

(1/3)(8 ft³) = 8/3 ft³ = 2 2/3 ft³

Martha will put 2 2/3 cubic feet of soil in each pot.

3 0

3 years ago

If a radius is 16 feet long, what is the length of an arc whose measure is 60 degrees?

babymother [125]

Answer:

(16/3)π ft

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle in radians.

Here the central angle is 60° so we must convert this to radians:

60° π π

----- * -------- = ----- radians

1 180° 3

Thus, the arc length of interest is s = (16 ft)(π/3 rad) = (16/3)π ft

5 0

3 years ago

4x-3y=30<br> 3x+2y=22<br> (6,-2)

shusha [124]

This ordered pair is not a solution for the given equations. We can tell this by plugging in to each of them and seeing that it does not provide a true statement for both. It does work for the first, but is not an intersection due to it not working for each.

4x - 3y = 30

4(6) - 3(-2) = 30

24 + 6 = 30 (TRUE)

3x + 2y = 22

3(6) + 2(-2) = 22

18 - 4 = 22

16 =/= 22 (FALSE)

5 0

4 years ago