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lozanna [386]
2 years ago
10

SOLVE MATH TO GET 100+ PTS

Mathematics
1 answer:
Advocard [28]2 years ago
3 0

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

<h3>How to represent a linear equation?</h3>

The situation forms a linear equation. Therefore,

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, let's model the equation linearly,

where

  • b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

learn more on linear equation here: brainly.com/question/11897796

#SPJ1

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The points ​(10​,14​) and ​(35​,49​) form a proportional relationship. Find the slope of the line through the points. Then use t
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The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

c = 0

y = 7x/5  or

5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446


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6 0
2 years ago
There are 3 people pulling on an object, the first person pulls with a force of 226 newtons at a direction of 145 degrees the se
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Answer:

R=883.74N

Step-by-step explanation:

From the question we are told that:

Force 1 F_1=226N

Force 2 F_2=331N

Force 3 F_3=377N

Direction 1  \theta_1=145 degrees \approx 35 \textdegree (2nd qudrant)

Direction 2 \theta_2=303 degrees \approx 57 \textdegree (3rd qudrant)

Direction 3 \theta_3=77 degrees

Generally Resolving forces to X axis is mathematically given by

 \sum f_x=337cos77+331cos57+226sin35

 \sum f_x=351.596N

Generally Resolving forces to Y axis is mathematically given by

 \sum f_y=337sin77+331sin57+226cos35

 \sum f_x=810.788N

Generally the equation for Resultant force R is mathematically given by

 R=\sqrt{\sum f_x^2+\sum f_x^2}

 R=\sqrt{351.596^2+810.788^2}

 R=883.74N

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