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3 years ago

Eight less than four times a number is less than 56. What are the possible values of that number?

Mathematics

2 answers:

MAXImum [283]3 years ago

7 0

Answer:

Step-by-step explanation:

4x<64

x<8

4X+-+8+%3C+56

Add 8 to both sides.

4X+%3C+64

Divide both sides by 4

X+%3C+16

Any number less than 16 will work.

Tomtit [17]3 years ago

4 0

The possible values of that number are less than 16

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Katyanochek1 [597]

Answer: B. The data represent a sample since the data are a subset of units.

Step-by-step explanation:

A population is the largest group of entire observations that can be made during a study.
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Since the entire data for the "persons used a popular social networking Web site" is not possible.

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3 years ago

-3m+10=25 need this fast please!

Ymorist [56]

Answer:

m=-5

Step-by-step explanation:

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2 years ago

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

Equation of a Line

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-\frac{1}{2}(x-2)$

Operating

$\displaystyle y=-\frac{1}{2}(x-2)+3$

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

8 0

2 years ago

What can you say about his average speed?

Nikitich [7]

The answer should be E. 223- 6s = 0

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3 years ago

Adam started to run at a rate of 6 mph from city A towards city B, which is 18 miles away. Ten minutes later, Benjamin started t

amm1812

Answer:

Benjamin's rate in mph was 6.44

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Rate or speed of Adam = 6 mph
Ten minutes later, Benjamin started to run from city B towards city A
Simultaneously, Caroline started to bicycle at a rate of 11 mph from city A towards city B

2. If Caroline caught up to Benjamin 50 minutes after passing Adam, what was Benjamin's rate in mph?

A. Let's calculate when Caroline caught up Adam:

Adam's rate = 6 mph

Caroline's rate = 11 mph

10 minutes = 1/6 of an hour

Distance covered by Adam when Caroline started to bike = 6 * 1/6 = 1 mile

t = Time it took Caroline to catch up to Adam

Therefore, we can solve for t, this way:

11t = 6t + 1

11t - 6t = 1

5t = 1

t = 1/5 of an hour

t = 12 minutes

Caroline passed Adam after biking 12 minutes, therefore she caught up to Benjamin 50 minutes later, or after 62 minutes.

B. Let's calculate the distance she covered after 62 minutes, this way:

62 minutes = 1 hour and 2 minutes or 1 2/60 or 1.03

Distance covered by Caroline = Time * rate

Replacing with the values we have:

Distance covered by Caroline = 1 2/60 * 11

Distance covered by Caroline = 11 11/30 or 11.37 miles

Let's recall the distance from city A to city B is 18 miles, therefore Benjamin covered 6.63 miles (18 - 11.37) when Caroline caught up to him

C. Finally let's calculate Benjamin's rate, this way:

Rate = Distance/Time

Replacing with the values we know:

Rate = 6.63/1.03

Rate = 6.44 mph (rounding to the next hundredth)

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3 years ago