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3 years ago

How any is? 8m + 27 = 2m - 3 with procedure and testing

Mathematics

2 answers:

Bezzdna [24]3 years ago

4 0

Step by step hope this helps:)

givi [52]3 years ago

3 0

8m+27= 2m-3
take 2m and subtract it from 8m, this gives you 6m. now your equation is 6m+27=-3.
subtract 27 from -3, this will make it 6m=-30.
divide 30 by 6. this gives you your answer. m=-5, because -30 divided by 6 equals -5.
now to test it you can plug -5 into the equation in place of M. 8 times -5 equals -40, plus 27 equals -13. 2 times -5 equals -10 plus -3 equals -13.

You might be interested in

Which equation represents a line that is perpendicular to line PQ?

valentinak56 [21]

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is $\frac{y_2-y_1}{x_2-x_1}$ where ( $x_{1}$ $y_1$ ) and ( $x_2$ , $y_2$ ) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m= $\frac{(-5-7)}{(-4--8)}$

simplify

m= $\frac{-5-7}{-4+8}$

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

3 0

3 years ago

A group of 7 friends each received 5/6 of a pound of candy. How much candy did they receive total?

Vedmedyk [2.9K]

Answer:

A group of seven friends each received one-half of a pound ofcandy. How much candy did they receive total?✓

0.5 pounds x 7= 3.5 poundsStep-by-step explanation:

4 0

2 years ago

Number 18 pls help me

Harman [31]

Lila did it correctly. The answer is 324

Following PEMDAS, we first focus on the parenthesis. So we simplify 9-3 to get 6

So we go from
18*4^2+(9-3)^2
to
18*4^2+6^2

The next step is applying exponents. In this case, squaring the terms, so we go from
18*4^2+6^2
to
18*16+36

Next is multiplying
18*16+36
turns into
288+36

Finally, add up 288 and 36 to get 288+36 = 324

That confirms that Lila is correct

----------------------

The error that Rob made is that he computed 18*4^2+9^2-3^2 but it is NOT correct. Saying (x-y)^2 = x^2-y^2 isn't a true equation for all x and y. Again you have to simplify what is in the parenthesis first, and then you can square it. Or you must use the FOIL rule to expand out (9-3)^2

7 0

3 years ago

Graph the feasibility region represented by the given inequalities and find the maximum profit if P = 4x + 5y. x ≥ 5 y ≤ 10 2x -

Brilliant_brown [7]

First, graph the three inequalities: x ≥ 5 , y ≤ 10 , 2x - y ≤ 8

Next, look for the 3 intersections (vertices) of the lines: (5, 2) , (5, 10) , (9, 10)

Finally, input the vertex coordinates into P = 4x + 5y and look for the biggest #.

(5, 2): 4(5) + 5(2) = 20 + 10 = 30

(5, 10): 4(5) + 5(10) = 20 + 50 = 70

(9, 10): 4(9) + 5(10) = 36 + 50 = 86

Answer: maximum profit = 86

8 0

3 years ago

Write an equation of the line passing through point p that is perpendicular to the given line. p(3,1), y=13x−5

Anarel [89]

You know two lines y=ax+b and y=mx+n that are perpendicular, so we have the product a*m=-1

+ This line is perpendicular to y=13x-5, so it has equation: y=-1/13x+b
+ And it passes through the point (3;1), so we have x=3, y=1. So 1=-1/13 *3+b
and b= 1+3/13= 16/13
And we have y=-1/13x+16/13
Have fun

7 0

4 years ago