Simplify each expression.
1.) 50 1/2 + (-12.3)
2.) -50 1/2 + (-12.3)
3.) -50 1/2 + 12.3

Please and thanks! (I'm horrible at my math)

Answer:

yes, the rate of change is constant and it equals -300ft/1min

it represents the number of feet the airplane descends per minute

Answer:

$1.25 per pound

Answer:

£ 305.4

Step-by-step explanation:

[tex]549*\frac{1}{3}*1+164*0.5+(549*\frac{2}{3}-164)*0.2\\\\=183+82+40.4\\\\=305.4[/tex]

Answer:

[tex]x=\frac{y-3}{2y-3}[/tex]

Step-by-step explanation:

[tex]y=2+\frac{1+x}{1-2x}[/tex]

First, subtract 2 from both sides:

[tex]y-2=\frac{1+x}{1-2x}[/tex]

Multiply both sides by (1 - 2x):

[tex]y-2(1-2x)=1+x\\y-2xy-2+4x=1+x[/tex]

Subtract 1, subtract x, and add 2xy to both sides:

[tex]y-3+3x=2xy[/tex]

Subtract 3x from both sides:

[tex]y-3=2xy-3x[/tex]

Factor out the x:

[tex]y-3=x(2y-3)[/tex]

Finally, divide both sides by (2y-3):

[tex]x=\frac{y-3}{2y-3}[/tex]

Keep in mind that this is undefined at y=1.5. The original equation is also undefined at 0.5.

Answer:

-1

Step-by-step explanation:

For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

[tex] \boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}[/tex]

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).

Solving for slope:

[tex] \implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }[/tex]

[tex] \implies \mathsf{ \frac{ - 3}{2 + 1 } }[/tex]

[tex] \implies \mathsf{ \frac{ - 3}{3 } }[/tex]

[tex] \implies \mathsf{ - 1 }[/tex]

Hence, the slope of the line joining the given points is -1.

Answer:

-1

Step-by-step explanation:

Answer:

2x^2=-8

2x^2/2=-8/2

x^2=-4

x=2

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

Answer:

g= -2

Step-by-step explanation:

Answer:

- 2

Step-by-step explanation:

1. open the parentheses: 3(5-g)= 15-3g= 21

2. move variables and constants of different sides (signs change when a variable or constant moves to the other side of equal sign.)

15- 3g= 21  =  -3g= 21- 15

-3g= 6

3. get g alone on 1 side: divide -3g by -3 so that the -3 cancel, then also divide 6 by 13 so that the equation will stay balanced.

Hence, g= -2

Hope this helps!

let me know if t does and if the answer is right.

Answer:

Step-by-step explanation:

10 to  the power of -1 = 0.1

10 to the power of -2 = 0.01

0.01 as a fraction =

1/10000

because

10 = 1/10  or 10/100

1= 1/100

0.1 = 1/1000

0.01 - 1/10000

Answer:

1/100

Step-by-step explanation:

10^2 is 100 so 10^-2 would be 0.01 or 1/100

Answer:

Lily can invite 8 friends ,

10 times 8 equals 80

80 plus 45 equals 125

Step-by-step explanation:

Answer:

You can use the model to show the fractions alongside each other.

Step-by-step explanation:

Answer:

Number 1 is 3.5, Number 2 is 4.29(because their are 30 days in april), Number 3 is 11, Number 4 is 90.5 miles per hour(MPH) i think

Step-by-step explanation:

this is a relation because it has all of the same number more than once

Answer:     162.1875%. Based on the given conditions, formulate: 103.8 / 64 Convert decimal to fraction:dfrac 1038/10 64Div

Step-by-step explanation:

your pics not loading in

Answer:

1. Substitute 9 for y..............................3 x y

2.  Substitute 3 for X .......................................3x 9

3.   multiply ................................... 27                                        

Step-by-step explanation:

Answer:

vertex = (7, - 2 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = x² - 14x + 47

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 14x

y = x² + 2(- 7)x + 49 - 49 + 47

  = (x - 7)² - 2 ← in vertex form

with vertex = (7, - 2 )

Answer:

[tex]5k^2-4k>0[/tex]

[tex]k(5k-4)>0[/tex]

In the image attached, you want the values above 0. Thus, the values of k would be in the red area, which is

[tex]k<0[/tex] or [tex]k>\frac{4}{5}[/tex]

Answer:

In £280, there will be €327.6.

Step-by-step explanation:

Since we have given that

£1 = €1.17

We need to find the value of  £280.

Using "Unitary method", we will multiply 1.17 by 280 and we get that

Hence, in £280, there will be €327.6.

# learn more:

The exchange rate at the post office is 1 pound = 1.17 euros

how many euros will you get for 280 pounds

Multiply 280 both sides

£ 280 = € 1.17 × 280

£ 280 = € 327.6

£ 1 = € 1.17

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

x = 35 ,y = 35

Step-by-step explanation:

x = 35

y = 35

Answer: [tex]\geq[/tex] 9 lawns, assuming Fiona spends 1 hour per lawn.

Step-by-step explanation:

Let Y = the amount earned from mowing a lawn.  Let z be the number of hours worked on that lawn.

Y = $10 + $5(z)

We need to know the number of hours, z, for any particular lawn to be able to make this a valid equation.  Not having that, we really can't set up a valid equation.  

But let's assume z=1 for each and every lawn and see what we'd have.

Y = $10 + $5

Y = $15/lawn.

Fiona needs at least $135 for her Broadway ticket.

Let L be the number of lawns mowed.  We need:

L*($15/lawn) [tex]\geq[/tex] $135

L  [tex]\geq[/tex] 9 lawns

Answer:

9

Step-by-step explanation:

absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5

Answer:

15.70cm

Step-by-step explanation:

add to get total

4.26+7.54+3.90

Answer is 15.70cm

Answer:

15.7 cm

Step-by-step explanation:

The 3 lengths are of 3 strings that used to make up 1 string, so add all 3 lengths to find the length of the string before it was cut.

Answer:

y= 132, x= 32.6

Step-by-step explanation:

Let me know if this is right!

Hope it helps

Answer:

see below

Step-by-step explanation:

y=mx+b: slope and intercept

ax+by/c: standard

(x-x1)*m=y-y1: point slope

Answer:

x = 3

Step-by-step explanation:

x² + 15  =  x² + 5x

      15 = 5x

      15 ÷ 5 = x

          3 = x

Answer:

x=7

Step-by-step explanation:

3*7=21

21-9=12

Answer:

5 $3.00

Step-by-step explanation:

For every 5 apples, the cost is $3.00

Answer:

16, 32, and 64

Step-by-step explanation:

The number is being doubled every time.

[tex]-2z -18 = -6 \\\\\implies -2(z+9)=-6\\\\\implies z + 9 = 3\\\\\implies z = 3-9 = -6[/tex]