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3 years ago

If x < 5, then which of the following must be true?

Mathematics

2 answers:

nevsk [136]3 years ago

6 0

-x > - 5 is also true. B.
When you divide by a negative number you change the direction of the inequality sign.

lesya692 [45]3 years ago

6 0

the answer is B -x>-5

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In 2008, there were 197,214 traffic collision related injuries. This works out to ____ per day.

Anni [7]

There are several information's already given in the question. Based on those information's the answer can be easily deduced.

Number of days in the year 2008 = 366
Number of traffic collisions in the year 2008 = 197214
Then
Number of t<span>raffic collision related injuries per day = 197214/366
= 538.84
= 540
</span><span>This works out to 540 per day. The correct option is option "C".</span>

4 0

3 years ago

Write the following as a ratio: $72 for 488 photos

weeeeeb [17]

Answer:

The required ratio is 9 : 61

Step-by-step explanation:

Given,

$72 for 488 photos,

That is, the price of 488 photos = 72 dollars,

So, the ratio of price of photos and number of photos = $\frac{72}{488}$

∵ HCF(72, 488) = 8,

Thus, the ratio of price of photos and number of photos = $\frac{72\div 8}{488\div 8}$

= $\frac{9}{61}$

3 0

3 years ago

A researcher is interested in estimating the mean weight of a semi tracker truck to determine the potential load capacity. She t

FinnZ [79.3K]

Answer:

(19229.11 ,20770.89)

Step-by-step explanation:

We are given the following information:

Sample size, n = 17

Sample mean = 20,000 pounds

Sample standard deviation = 1,500 pounds

Confidence level = 95%

Significance level = 5% = 0.05

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 16 and}~\alpha_{0.05} = \pm 2.119$

$20000 \pm 2.119(\displaystyle\frac{1500}{\sqrt{17}} ) = 20000 \pm 770.89 = (19229.11 ,20770.89)$

4 0

3 years ago

A paddle boat company charges $15 rental fee plus $12.75 per hour for rentals. If Jimmy has $45, which inequality can he use to

horrorfan [7]

Answer:

Step-by-step explanation:

$15 rental fee added to the 12.75 per hour. you have to multiply the 12.75 times the amount of hours rented, which we don't know yet so that's variable x. then he has only $45 to spend so it has to be equal to or less than that.

4 0

2 years ago

Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?

Svet_ta [14]

Answer:

I, II and III

Step-by-step explanation:

Two sides of a triangle have length 6 and 8.

the maximum possible area occurs in the right angle .

To find maximum area we use the area of the triangle formula

$area of triangle = \frac{6 \cdot 8}{2} = 24$

So maximum possible area is 24 units^2

all the given possible values are less than and equal to 24

so all the three options are correct

I, II and III

4 0

2 years ago