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Elden [556K]
3 years ago
5

Write an equation that represents three less than eight times a number is 17.

Mathematics
1 answer:
Alex73 [517]3 years ago
3 0

Answer:

8x-3=17

Step-by-step explanation:

The term “less than” indicates that the 8x comes first in the equation because you’re taking 3 away from it

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A moving trailer with a speed of 70km/h slows down its speed by 15% within 30 seconds. calculate the declaration of the trailer.
antoniya [11.8K]

Answer:

declaration = - 0.55 m/s²

Step-by-step explanation:

The declaration is a negative accelaration.

Therefore:

a = \frac{v-u}{t}

a      = ?

v      = 70 of 15% = 10.5 km/h to m/s = 2.9 m/s

u = 70 km/h to m/s = 19.4 m/s

t = 30 seconds

a = \frac{2.9-19.4}{30}\\

a = - 0.55 m/s²

7 0
3 years ago
Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .
aleksley [76]

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = r_{0} + t.v

where

r_{0} is the position vector;

v is the vector;

For point (7,4,5):

r_{0} = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>

The parametric equations of the line are of the form:

x = x_{0} + at

y = y_{0} + bt

z = z_{0} + ct

So, the parametric equations are:

<em><u>x = 7 + 3t</u></em>

<em><u>y = 4 + 2t</u></em>

<em><u>z = 5 - 5t</u></em>

4 0
3 years ago
The cost of renting a car for a day is $0.50 per mile plus a $15 flat fee.
Vadim26 [7]

Answer: a) y=0.50x+15  

b) The graph of this equation form on a coordinate plane is a line.

c) Slope  =0.50 and y-intercept = 15

Step-by-step explanation:

Let x = Number of miles driven by car

Given: The cost of renting a car for a day is $0.50 per mile plus a $15 flat fee.

a) Total cost = 0.50x+15

If y =total cost of renting the car, then y=0.50x+15   (i)

b) Above equation is similar to y= mx+c  (ii) [m = slope , xc=y-intercept] which a linear equation .

So the graph of this equation form on a coordinate plane is a line.

c) Comparing (i) and (ii)

m=0.50 , c=15

Slope  =0.50 and y-intercept = 15

3 0
3 years ago
Today, the waves are crashing onto the beach every 4.8 seconds. The times from when a person arrives at the shoreline until a cr
kaheart [24]

Answer:

61% of the time a person will wait at least 1.872 seconds before the wave crashes in.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution from 0 to 4.8 seconds.

This means that a = 0, b = 4.8

61% of the time a person will wait at least how long before the wave crashes in?

This is the 100 - 61 = 39% percentile, which is x for which P(X \leq x) = 0.39. So

P(X \leq x) = \frac{x - a}{b-a}

0.39 = \frac{x - 0}{4.8 - 0}

x = 4.8*0.39

x = 1.872

61% of the time a person will wait at least 1.872 seconds before the wave crashes in.

5 0
3 years ago
The value of y is directly proportional to the value of x.If y when x = 40, what is the value of y when x = 140?
Rudiy27

Answer:y=14

Step-by-step explanation:

7 0
3 years ago
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