<img src="https://tex.z-dn.net/?f=%5Csf%203x%2B44%3D50" id="TexFormula1" title="\sf 3x+44=50" alt="\sf 3x+44=50" align="absmiddl

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zhuklara [117]

2 years ago

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Mathematics

2 answers:

mel-nik [20]2 years ago

8 0

3x+44=50
-44 -44
3x=6
Decide both sides by 3 and you’ll get x= 2

Fudgin [204]2 years ago

3 0

Answer:

Step-by-step explanation:

1) Subtract 44 from both sides of the equation

3x + 44 - 44 = 50 - 44

2) Simplify

a. Subtract the numbers

3x = 50 - 44

b. Subtract the numbers

3x = 6

3) Divide both sides of the equation by the same term

3x/3 = 6/3

4) Simplify

a. Cancel terms that are in both the numerator and denominator

x = 6/3

b. Divide the numbers

x = 2

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Find the perimeter of a polygon with vertices at A(0, 1), B(4, 4), C(7, 0), D(3, -3), E(-4, -4). Round your answer to the neares

wlad13 [49]

It's interesting that areas from coordinates are much simpler than perimeters from coordinates. It's almost like math is telling us area is more fundamental than length.

p = AB+BC+CD+DE+EA

We use the Pythagorean theorem, square root form, on all the sides. We can skip a lot of the square roots because most of these are the hypotenuse of a 3/4/5 right triangle.

B-A=(4-0, 4-1)=(4,3) so length AB=5

C-B=(7-4,0-4)=(3,-4), so again BC=5

D-C=(3-7, -3-0)=(-4,-3) so again CD=5

E-D=(-4-3, -4 - -3) = (-7, -1). Ends our streak. DE=√(7²+1²)=√50=5√2.

A-E=(0 - -4,1 - -4)=(4,5) so EA=√(4²+5²)=√41.

Three of five were 3/4/5.

p = 5+5+5+5√2+√41 = 15+5√2+√41

I hate to ruin a nice exact answer with an approximation.

p ≈ 28.474192049298324

Answer: 28.47, last choice

8 0

3 years ago

Y=3x-2

Inessa [10]

Answer:

a) $(x,y) = (3, 7)$ is a solution of the linear equation.

b) The rate of change of the equation is 3.

c) The y-intercept of the equation is -2.

d) Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?

Step-by-step explanation:

a) If $(x,y) = (3, 7)$ is a solution of the linear equation, then $f(3) = 7$ . If $x = 3$ , then the function evaluated at this value is:

$y = 3\cdot (3) -2$

$y = 7$

Hence, $(x,y) = (3, 7)$ is a solution of the linear equation.

b) The rate of change of the equation is represented by the slope of the function, which is the constant that multiplies the indepedent variable ( $x$ ). Hence, the rate of change of the equation is 3.

c) The y-intercept of the equation is the only constant of the equation. Hence, the y-intercept of the equation is -2.

d) A real-world scenario would be the following: Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?

7 0

2 years ago

A line includes the points (13,15) and (6,15). What is its equation in slope-intercept form?

Andrew [12]

Answer:

y=15

Step-by-step explanation:

y=mx+b

slope(y2-y1)/(x2-x1)

(15-15)/(6-13)

0/-7=0

y-intercept 15=0(15)+b

b=15

y=15

6 0

3 years ago

For each equation, find y when x=-3. Then find x when y = 2 1. y = 6x + 8

crimeas [40]

⬇ Hey, the answer is down below! :) ⬇

For y: x = -3

For y it stays the same.

For x: y = 2

For x it stays the same too.

For 1.): $x = \frac{1}{6}y + \frac{-4}{3}$

Step-by-step explanation:

For y there is no step-by-step explanation unfortunately.

For x there isn't a step-by-step explanation too unfortunately.

⬇ For 1.) there is a step-by-step explanation! ⬇

For step 1 we should flip the equations.

6x + 8 = y

For step 2 we should add -8 to both sides.

6x + 8 + − 8 = y + −8

= 6x = y − 8

For step 3 we should divide both sides by 6.

$\frac{6x}{6} = \frac{y - 8}{6}$

= x = $x = \frac{1}{6}y + \frac{-4}{3}$

In result we should have $x = \frac{1}{6}y + \frac{-4}{3}$ as the answer!

7 0

2 years ago

The local library had a sale to get rid of the books that were slightly damaged it’s on paper back books for two dollars and har

kondor19780726 [428]

Answer:

The Local Library sold 31 hardcover books.

Step-by-step explanation:

Let number of paper back books be 'x'.

Let number of hardcover books be 'y'.

Given:

Total number of books sold = 89

Now Total number of books sold is equal to sum of number of paper back books and number of hardcover books.

framing in equation form we get;

$x+y=89 \ \ \ \ \ equation \ 1$

Now Given:

Cost of each paper back books = $2

Cost of each hardcover books = $5

Total Amount raised by library = $271

Now We know that Total Amount raised by library is equal to Cost of each paper back books multiplied by number of paper back books plus Cost of each hardcover books multiplied number of hardcover books.

framing in equation form we get;

$2x+5y=271 \ \ \ \ equation \ 2$