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Ilya [14]
3 years ago
9

Carlson's wheelbarrow can hold 460 pounds. if he has 187 pounds of rocks in the wheelbarrow, what number of pounds, p, can he pu

t in the wheelbarrow without going over the weight limit?
PLEASE HELP ME!!!.
Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Step-by-step explanation:

i think you just have to subtract 460-187 equals 273 so he can put 273 or something lower then that

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MATH HELP
elena-s [515]

The equation of line perpendicular to given line is:

y = \frac{2}{3}x-1

Step-by-step explanation:

Given equation is:

3x+2y = -8

First of all, we have to find the slope of the given line

So,

3x+2y = -8\\2y = -3x-8\\

Dividing both sides by 2

\frac{2y}{2} = \frac{-3x-8}{2}\\y = \frac{-3x}{2} - \frac{8}{2}\\y  =-\frac{3}{2}x-4

As the equation is in slope-intercept form, the co-efficient of x will be the slope of the line

m_1 = -\frac{3}{2}

As we know that product of slopes of two perpendicular lines is -1

Let m-2 be the slope of line perpendicular to given line

m_1.m_2 = -1\\-\frac{3}{2} . m_2 = -1\\m_2 = -1 * -\frac{2}{3}\\m_2 = \frac{2}{3}

Slope-intercept form is:

y = m_2x+b

putting the value of the slope

y = \frac{2}{3}x+b

Putting the point (3,1) in the equation

1 = \frac{2}{3}(3) +b\\1 = 2 + b\\b = 1-2\\b = -1

Putting the value of b

y = \frac{2}{3}x-1

Hence,

The equation of line perpendicular to given line is:

y = \frac{2}{3}x-1

Keywords: Slope-intercept form, slope

Learn more about equation of line at:

  • brainly.com/question/750742
  • brainly.com/question/7419893

#LearnwithBrainly

8 0
3 years ago
Where should you endorse a check?
Vesna [10]
You endorse a check by signing your name on the back of the left end of the check. Hope this helps:)
3 0
3 years ago
Read 2 more answers
Plz help me with this
forsale [732]

Answer:

\frac{31x}{30}

Step-by-step explanation:

Before adding we require the fractions to have a common denominator

The lowest common denominator of 2, 5 and 3 is 30, thus

\frac{15x}{15(2)} + \frac{6x}{6(5)} + \frac{10x}{10(3)}

= \frac{15x}{30} + \frac{6x}{30} + \frac{10x}{30}

Add the numerators leaving the denominator

= \frac{15x+6x+10x}{30} = \frac{31x}{30}

5 0
3 years ago
Read 2 more answers
In AOPQ, m2O = (2x – 5)º, m P = (3x – 8)°, and mZQ = (10x – 17).<br> What is the value of x?
Misha Larkins [42]

9514 1404 393

Answer:

  x = 14

Step-by-step explanation:

The sum of angles in a triangle is 180°:

  ∠O +∠P +∠Q = 180°

  (2x -5)° +(3x -8)° +(10x -17)° = 180°

  15x -30 = 180 . . . . . divide by °, collect terms

  x -2 = 12 . . . . . . . . . divide by 15

  x = 14 . . . . . . . . . . . .add 2

3 0
3 years ago
Find the slope of a line perpendicular to 3x + 5y = 15.
Zielflug [23.3K]

Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is  

y=mx+b

where  m is the slope and  b  is the y-intercept.

y=mx+b

Subtract  3x  from both sides of the equation.

5y=15−3x

Divide each term by  "5"  and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide  15  by  5

y=3-3x/5

Reorder  3  and  −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to  y=−3x/5+3  must have a slope that is the negative reciprocal of the original slope.

<em>m</em>perpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

8 0
3 years ago
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