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cestrela7 [59]
3 years ago
8

8 miles in 0.5 hour what rate in miles per hour

Mathematics
2 answers:
yan [13]3 years ago
8 0
In this question it is already given that a person travels 8 miles in 0.5 hours. This is enough information to get to the required answer. Let us first write down all the information's that are already given in the question.
In 0.5 hours the person covers a distance = 8 miles
Then
In 1 hour the person covers a distance of = 8/0.5 miles
                                                                   = 16 miles
So the speed of the person in miles per hour = 16/1 miles/hour
                                                                         = 16 miles per hour
enyata [817]3 years ago
5 0
We can set up a proportion, like this:
\frac{x}{8}= \frac{100}{50}
x (rate of speed per full hour)
over
8 miles
equals
100 percent of an hour
over
50 percent of an hour
when we cross multiply, we get
50x=800
then, we divide both sides by 50 to get:
x=16
so the rate in miles per hour is 16, or 16 miles per hour
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F(x) = x4 - x3 - 2x- 4 factor the polynomial function over the complex numbers
olchik [2.2K]

Answer:

<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>

Step-by-step explanation:

The given function is f(x) = x⁴ - x³ -2x -4

factor the polynomial function

f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x )  ⇒ take (-) as a common from (- x³ -2x)

     = (x² + 2 ) (x² - 2) - x (x² + 2)   ⇒ take (x² + 2)  as a common

     = (x² + 2 ) ( x² - x - 2)

     = (x + √2 i) (x - √2 i) (x -2 ) ( x+1)

Notes:  (x⁴ - 4) = (x² + 2 ) (x² - 2)

            (x² + 2)= (x + √2 i) (x - √2 i)

            ( x² - x - 2) = (x -2 ) ( x+1)

8 0
3 years ago
a taco stand sells tacos for $3.25 each. the stand's expenses for the day are $210. definec your variables and write an inequali
AlekseyPX

Okay, we know that the expenses for the day is 210.

Knowing this, and the price of the taco, we write the inequality:

3.25t > 210

t = number of tacos

Now divide both sides by 3.25:

t > 64.62 (rounded)

Because a taco stand can't sell a fraction of a taco, we know that the taco stand has to sell more than 65 tacos for a profit.

7 0
3 years ago
On circle O below, the measure of FJ is 84º . The measure of GH is 76°.<br> What is the measure of
Vsevolod [243]

Given:

Measure of arc FJ = 84°

Measure of arc GH = 76°

To find:

The measure of angle HKJ.

Solution:

The image of the question is attached below.

Angles inside the circle theorem:

If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.

$\Rightarrow m \angle G K H=\frac{1}{2}(m(a r  \ G H)+m(a r \  F J))

$\Rightarrow m \angle G K H=\frac{1}{2}\left(76^{\circ}+84^{\circ}\right)

$\Rightarrow m \angle G K H=\frac{1}{2}\left(160^{\circ}\right)

\Rightarrow m \angle G K H=80^{\circ}

Sum of the adjacent angles in a straight line is 180°.

⇒ m∠GKH + m∠HKJ = 180°

⇒ 80° + m∠HKJ = 180°

Subtract 80° from both sides.

⇒ 80° + m∠HKJ - 80° = 180° - 80°

⇒ m∠HKJ = 100°

The measure of ∠HKJ is 100°.

8 0
3 years ago
Which best explains why 5 x 4 is greater than 5 x 1/4 ?
zmey [24]
Because one is put into fraction form. Therefore the one in fraction form is going to be smaller. 5*4=20 and 5*1/4=1.25. I hope my answer helped you.
3 0
3 years ago
A rectangle is 32m by 8m is similar to a rectangle 4m by x m.
Flauer [41]

Answer:

x = 1

Step-by-step explanation:

x/4 = 8/32

x = 1

Best Regards!

5 0
3 years ago
Read 2 more answers
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