Solve the equation 2/3x=-1/2x+5 what is the first step to isolate the variable term on one side of the equation

Answer:

Step-by-step explanation:

First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11.  The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:

[tex]m=\frac{13950-22200}{11-0}=\frac{-8250}{11}=-750\frac{people}{year}[/tex] That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation:

[tex]y-22200=-750(x-0)[/tex] and

y = -750x + 22200. That answers part A.

Now for B we need to find y when x = 13 (remember we let year 2001 = 0, so year 2014 = 13):

y = -750(13) + 22200 so

y = 12450 people in the year 2014

Answer:

ifeywifheb

Step-by-step explanation:

hkefewib

Answer:

B. 56° and 38°

Step-by-step explanation:

The sum of each of the two angles sums up to 90° ;

A.) 13° and 77°

Sum of A ; (13 + 77)° = 90°

B.) 56° + 38°

Sum = 56° + 38° = 94°

C) 37° and 53°

Sum = 37° + 53° = 90°

D.) 42° and 48°

Sum = 42° + 48° = 90°

Hence, the pair of degree measure which does not belong is B. 56° and 38°

Answer:

parallel

Step-by-step explanation:

the slope of each line is 5/6 which means the lines are parallel

9514 1404 393

Answer:

  5196 m

Step-by-step explanation:

The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.

  5040 -(-156) = 5040 +156 = 5196

The difference in elevation is 5196 meters.

9514 1404 393

Answer:

Step-by-step explanation:

Parallelogram PTSR is divided into two equilateral triangles by diagonal RT. All of the acute angles in that quadrilateral are 60°, and the obtuse angles are 120° (2×60° and also the supplement of 60°).

Triangle PTQ is an isosceles right triangle, so its acute angles are 45°.

  ∠PTQ = 45°

  ∠QTR = ∠PTR -∠PTQ = 60° -45°

  ∠QTR = 15°

  ∠PTS = 120° . . . . . . obtuse angle in PTSR; sum of ∠PTR and ∠RTS

Answer:

4.605170185988091

Step-by-step explanation:

ln 100 = 4.605170185988091

e^4.605170185988091 = 100

Step-by-step explanation:

100=1 log 10(1)=0

I hope this is helpful for you

Answer:

the coordinates of pre - image point H is (3,2)

Answer:

c time for learning

Step-by-step explanation:

Answer:

10 square inches

Step-by-step explanation:

that is the procedure above

Answer:

Area=10.167=10.2

Step-by-step explanation:

Area=1/2ab sin c

area= 1/2(7)(9.4)sin18

area = 10.167=10.2

this is for delta math

Answer:g(x) is flipped and 2 times as steep and shifted left 5

Step-by-step explanation:

Answer:

Base: 7

Height:10

BH divided by two so

7 times 10 = 70 divided by two 35

Base: 7 yd

Height: 10 yd

Area: 35 square yd

         ([tex]A=\frac{h_{b}b }{2}[/tex] = [tex]\frac{10*7}{2}[/tex] = 35)

hope this helps....

Answer:

x is 40° because it's same side interior angle

y is 140° because it's a corresponding angle with the 140° angle

z is 40° because it's a corresponding angle with x

Answer:

X=40, Y=140, Z=40 because total sum is 360

Answer:

Step-by-step explanation:

(0,2). y=mx+b or 2=-2 × 0+b, or solving for b: b=2-(-2)(0).

Answer:

the required equqtion is x-y=2

Answer:

[tex]C(d) = \frac{1}{5}d + 320[/tex]

Step-by-step explanation:

Given

[tex]d \to miles[/tex]

[tex]C \to cost[/tex]

So:

[tex](d_1,C_1) = (500,420)[/tex] --- May

[tex](d_2,C_2) = (620,444)[/tex] --- June

Required

Express as a function

Start by calculating the slope (m)

[tex]m = \frac{\triangle C}{\triangle d}[/tex]

[tex]m = \frac{444-420}{620-500}[/tex]

[tex]m = \frac{24}{120}[/tex]

Simplify

[tex]m = \frac{1}{5}[/tex]

The equation is:

[tex]C(d) = m(d - d_1) +C_1[/tex]

[tex]C(d) = \frac{1}{5}(d - 500) +420[/tex]

[tex]C(d) = \frac{1}{5}d - 100 +420[/tex]

Take LCM

[tex]C(d) = \frac{1}{5}d + 320[/tex]

Answer:

Step-by-step explanation:

The actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have the relationship between the actual air temperature x (in degrees Fahrenheit) and the temperature y adjust for wind chill (in degrees Fahrenheit, given by 20 mph wind) is given as:

y = -22 + 1.4x

When.

The temperature adjusted for wind chill, y  = -15 degrees Fahrenheit
Put this value in the given linear equation, we get:

-15 = -22 + 1.4x

-15 + 22 = 1.4x    (add 22 on both sides)

7 = 1.4x

x = 5 degrees Fahrenheit  (divide by 1.4 on both sides)

Thus, the actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.

Learn more about the linear equation here:

brainly.com/question/11897796

Answer:

-12

Step-by-step explanation:

f (x)=6x – 6

Let x= -1

f(-1) = 6(-1) -6

      = -6-6

     = -12

Answer:

3408

Step-by-step explanation:

Answer:

50 hot dogs

150 sodas

Step-by-step explanation:

set up a system of equations where 'h' = # hot dogs sold and '3h' = # sodas sold

h + s = 200

s = 3h

h + 3h = 200

4h = 200

h = 50

s = 200-50 or 150

9514 1404 393

Answer:

  ΔWZT ~ ΔWXY

Step-by-step explanation:

Angle XWY and angle ZWT are vertical angles, so congruent.

The sides on either side of those angles are proportional:

  WZ/WX = WT/WY

  11/22 = 10/20 = 1/2

so, we can claim similarity by the SAS Theorem.

  ΔWZT ~ ΔWXY

Answer:

10/35

Step-by-step explanation:

4*2.5=10

14*2.5=35

4/14=10/35

Answer:

"fair" srry im only in 8th so im d.u.m

Step-by-step explanation:

Answer:

[tex]Shaded = 212.5cm^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The shaded region

First, calculate the area of the complete rectangle

[tex]Area =Length * Width[/tex]

[tex]Area = 14cm * 25cm[/tex]

[tex]Area = 350cm^2[/tex]

Next, calculate the area of the triangle

[tex]Area = \frac{1}{2} * Base * Height[/tex]

[tex]Area = \frac{1}{2} *25cm * 11cm[/tex]

[tex]Area = 137.5cm^2[/tex]

Subtract the area to calculate the shaded region area

[tex]Shaded = 350cm^2 - 137.5cm^2[/tex]

[tex]Shaded = 212.5cm^2[/tex]

Answer:

Greg is 28.

Step-by-step explanation:

Greg's age is y.

y - 5 = 23

y - 5 + 5 = 23 + 5

y = 28

Answer:

One of the basic tenets of statistics that every student learns in about the second week of intro stats is that in a skewed distribution, the mean is closer to the tail in a skewed distribution. So in a right skewed distribution (the tail points right on the number line), the mean is higher than the median.

Step-by-step explanation:

The distribution is said to be right-skewed. In such a distribution, usually (but not always) the mean is greater than the median, or equivalently, the mean is greater than the mode; in which case the skewness is greater than zero.

Answer:

Exact Form:

x = 2 √ 2 − 1 3 , − 2 √ 2 − 1 3

Decimal Form:

x = 2.49509379 , − 3.16176045

Step-by-step explanation:

Simplify the decimals as needed