4, 4, 5, 5, 5, 6, 8, 9, 12, 12, 14, 15, 16, 16 4,4,5,5,5,6,8,9,12,12,14,15,16,16 min: q1: med: q3: max:

You and a friend want to know how much rope you need to climb a large rock. Your friend is 5.5 feet tall and casts a shadow that

diamong [38]

The concept that is useful in order to answer this item is the concept of ratio and proportion. Let x be the height of the rock from the ground. We use the equation below to answer.
5.5 ft / 18 ft = x ft / 209.5 ft
The value of x from the equation is 64 ft. Thus, they will be needing approximately 64 ft of rope.

4 0

3 years ago

Mr. Fink's economy car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons.

Sphinxa [80]

Answer:

280 miles

Step-by-step explanation:

So, 420 miles=12 gallons

That means that for 1 gallon you would be able to go 35 miles.

Just multiply that by 8. 35*8=280

3 0

3 years ago

Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.

bearhunter [10]

Answer:

The distance from the point to the line is approximately 3.2 units

Step-by-step explanation:

Distance From a Point to a Line

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

$\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}$

The line is given by the equation:

y=3x. We need to transform it into the specified form.

Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

a=-3, b=1, c=0

The point (xo,yo) is (-1,7), thus:

$\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}$

$\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}$

$\displaystyle d= \frac{|10|}{\sqrt{10}}$

$\displaystyle d= \frac{10}{\sqrt{10}}$

$d\approx 3.2$

The distance from the point to the line is approximately 3.2 units

4 0

3 years ago

Ramesh says that based on the pattern 7^-5 =-16,807 which statement explains were her Ramesh is correct?

fiasKO [112]

Ramesh is not correct because as the exponents decrease, the previous value is divided by 7 .

Explanation:

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

Exponents are superscript numerals that let you know how many times you should multiply a number by itself. Some real world applications include understanding scientific scales like the pH scale or the Richter scale, using scientific notation to write very large or very small numbers and taking measurements.

6 0

4 years ago

1. A company has $5826 to give out in bonuses. An amount is to be given out equally to each of the 29 employees.

pashok25 [27]

Answer:

a) Incorrect

b) $201

Step-by-step explanation:

a)

$5826 need to be distributed equally among 29 employees . Hence we need to divide 5826 by 29 to know the amount each one will get. Since 58=29*2 and 26≈2, The manager can estimate that each one of the employee will get $201 as bonus. So his reason to estimate was correct but the estimated amount was incorrect.

b)

Each employee will get

$\frac{5826}{29}$

= 200.89

Hence Each one will get

$201 rounded to nearest whole number

4 0

3 years ago