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VikaD [51]
3 years ago
6

For each sentence below, find the value of x that makes each sentence true.

Mathematics
1 answer:
Nataly [62]3 years ago
7 0

Hey!

I'll brake down every step (these steps wont have words, but if need any help, drop a comment)... And show you all the work, hope this helps...

~~~~~~~~~~~~~~~~~~~~

Fractions Simplified

5 (1/5) > 26/5 > 5.2

8 (1/3) > 25/3 > 8.3333

~~~~~~~~~~~~~~~~~~~~

First Problem

(5 1/5) 5 = 25x; x = ?

(5.2)*5 = 25x; x = ?

26 = 25x; x = ?

x = 26/25

x = 1.04

~~~~~~~~~~~~~~~~~~~~

Second Problem

(8 1/3) 2 = 4x; x = ?

(8.3333)*2 = 4x; x = ?

16.66666 = 4x; x = ?

x = 16.66666/4

x = 4.166666

Estimated: x = 4.1667

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A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co
butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

\displaystyle \vec{v}=\frac{\vec{x}}{t}

Where \vec x is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

\displaystyle \vec{x}=\vec{v}.t

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

\displaystyle \vec{v_1}=

\displaystyle \vec{v_1}=\ km/h

The displacement of the plane in 2 hours is

\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)

\displaystyle \vec{x_1}=km

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

\displaystyle \vec{v_2}=

\displaystyle \vec{v_2}=km/h

The displacement in 1 hour is

\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)

\displaystyle \vec{x_2}=km

The total displacement is the vector sum of both

\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+

\displaystyle \vec{x_t}=km

\displaystyle \vec{x_t}=

The distance from the airport is the module of the displacement:

\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}

\displaystyle |\vec{x_t}|=894.43\ km

8 0
4 years ago
The rectangular prism below has a length of 18 inches, a width of 24 inches, and a height of 12 inches.
andrew11 [14]

Answer:

1872

Step-by-step explanation:on edge

3 0
4 years ago
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rodikova [14]
For question 22, divide each number by 1.41 to see which one produces a quotient larger than 0.9. d is the answer.
For #23, multiple 0.155 million by 86%, the result is 133,300
again, d is the correct answer. 
7 0
3 years ago
Suppose the profit a honda dealership makes on the next 5 accords it sells are:564, 1,000, 848, 1,495, 1,348. calculate the stan
stepladder [879]
First we have to find the mean (average)
mean = (564 + 1000 + 848 + 1495 + 1348) / 5 = 5255 / 5 = 1051

now we subtract the mean from every data point, then square it
564 - 1051 = -487......-487^2 = 237169
1000 - 1051 = -51......-51^2 = 2601
848 - 1051 = -203......-203^2 = 41209
1495 - 1051 = 444......444^2 = 197136
1348 - 1051 = 297......297^2 = 88209

now find the mean of the results.....but know when ur dealing with a sample instead of the whole population, u divide by 1 number less...so instead of dividing by 5, u divide by 4.
(237169 + 2601 + 41209 + 197136 + 88209) / 4 = 566324 / 4 = 
141581.....this is called ur variance

now take the square root of the variance and u have ur standard deviation
sqrt (141581) = 376.272 rounds to 376.27 <==
5 0
4 years ago
SOMEONE HELP ASAP PLEASE ):
Kisachek [45]
5 becaue its goodflooru
4 0
3 years ago
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