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3 years ago

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Your carry-on bag can weigh at most 40 pounds. Select an inequality that represents how much more weight x (in pounds) you can a

dd to the bag and still meet the requirement. Then solve the inequality.

1 answer:

frez [133]3 years ago

6 0

Answer:

x =40

Step-by-step explanation:

Given that :

Your carry-on bag can weigh at most 40 pounds.

Select an inequality that represents how much more weight x (in pounds) you can add to the bag and still meet the requirement.

We are told that the bag weight "at most" 40 pounds. and how much more weight x can be add.

representing this as an inequality; we have:

0 > x ≥ 40 = 0

Solving this inequality; we have

x =40

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Select all the rates that are unit rates.

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Answer:

$\frac{2/3}{1}$ and $\frac{3}{1}$

Step-by-step explanation:

Options

$\frac{1}{1/3}$ $\frac{2/3}{1}$ $\frac{2}{3}$ $\frac{3}{1}$ $\frac{1}{9}$

Required

Select the unit rates

Unit rate involve two items where the first item being measured can be any positive number, but the second item must be measured in units (i.e. 1)

For clarity:

If $\frac{a}{b}$ represents unit rate, then $b = 1$

Having said that:

Only $\frac{2/3}{1}$ and $\frac{3}{1}$ satisfy the condition of unit rates; others are not because they have a denominator other than 1

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3 years ago

Graph and check to solve the linear system <br> x+y=3<br> -2x+y=-6

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Answer:

-x - y = -3

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3 years ago

A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the followin

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Answer:

(a) $\sum x_i=56.68$ and $\sum x_i^2=197.46$

(b) The sample variance is $s^2=0.530$ and the sample standard deviation is $s=0.728$

Step-by-step explanation:

(a)

The sum of these 17 sample observations is

$\sum x_i=2.79\:+2.57+\:2.73\:+3.75\:+2.27+\:2.75+\:4.00+\:4.22+\:3.88+\:4.35+\:3.41+\:4.57+\:2.38+\:3.73\:+2.75+\:3.47+\:3.06\\\\\sum x_i=56.68$

and the sum of their squares is

$\sum x_i^2=2.79^2\:+2.57^2+\:2.73^2\:+3.75^2\:+2.27^2+\:2.75^2+\:4.00^2+\:4.22^2+\:3.88^2+\:4.35^2+\:3.41^2+\:4.57^2+\:2.38^2+\:3.73^2\:+2.75^2+\:3.47^2+\:3.06^2\\\\\sum x_i^2=197.46$

(b)

The sample variance, denoted by $s^2$ , is given by

$s^2=\frac{S_{xx}}{n-1}$

where $S_{xx} =\sum x_i^2-\frac{(\sum x_i)^2}{n}$

Applying the above formula we get that

$S_{xx}=197.46-\frac{(56.68)^2}{17}\\\\S_{xx} =8.482$

$s^2=\frac{8.482}{17-1}=0.530$

The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:

$s=\sqrt{s^2}$

Applying the above formula we get that

$s=\sqrt{0.530}=0.728$

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A fabric manufacturing company has a fabric that is 36 inches wide. If the company needs 75 sq. yards, how many linear feet does

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<span>Since the fabric is 36 in. wide, every 36 linear inches (3 feet =1 yard) makes one square yard. The team needed 75 sq yds, thus 3 x 75 = linear feet</span>

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3 years ago

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