Alyssa's company makes a profit of $175,000.
The company then experiences a loss of
$25,000 each month for the next five months.
Which expression represents the net profit
after five months?

Answer:

a) x = 60. b) b = 110. c) x = 20. d) x = 30.

Explanation:

For question a, 2x and 120° are opposite (vertical) angles so they must be the same measure according to the vertical angle theorem by definition, given they are angles formed by the transversal cutting two parallel lines. 2x = 120, so x = 60.

For question b, 130° and b + 20 are corresponding angles of the transversal cutting parallel lines, so they must be the same measure according to corresponding angle theorem(same side, one angle inner, and the other exterior of that) by definition. Given that they are both pairs of the same angle, they must be corresponding angles. 130° = b + 20, b = 110.

For question c, 120° and 2x + 20 are same side interior angles so they must be supplementary(add up to 180°) by definition. This is on the *same side* of the transversal inside the two parallel lines cut by it. 120° + 2x + 20° = 180°, x = 20°.

For question d, They are also on the same side but on the left so the same property of corresponding angles applies, so 3x + 10, and 100° must be the same measure. Therefore 3x + 10 = 100°, and x = 30.

Answer:

2.75 tsp

Step-by-step explanation:

1/4 divided by 0.75

Answer:

whats density

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

So, we know that Noah's purchase can be modeled by the equation:

[tex]x-0.1x+2.70=56.70[/tex]

Part 1)

The solution to the equation will be the value of x.

In this case, x will represent the original price of the jeans.

We know that Noah has a coupon for 10% off the original price of the jeans.

So, 0.1x will represent how much of the original price Noah gets a a discount on.

Therefore, (x - 0.1x) represents the total cost of the jeans after the coupon.

So, x is our original price of the jeans.

Part 2)

To verify that 70 is not a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:

[tex](70)-0.1(70)+2.7\stackrel{?}{=}56.70[/tex]

Multiply:

[tex]70-7+2.7\stackrel{?}{=}56.7[/tex]

Subtract:

[tex]63+2.7\stackrel{?}{=}56.7[/tex]

Add:

[tex]65.7\neq56.7[/tex]

However, we can verify that 60 is the solution by substituting. So, substitute 60 for every x:

[tex](60)-0.1(60)+2.7\stackrel{?}{=}5.7[/tex]

Multiply:

[tex]60-6+2.7\stackrel{?}{=}56.7[/tex]

Subtract:

[tex]54+2.7\stackrel{?}{=}56.7[/tex]

Add:

[tex]56.7\stackrel{\checkmark}{=}56.7[/tex]

So, 60 is indeed the solution and is the value of x.

So, this means that $60 was the original price of the jeans.

Answer:

$60

Step-by-step explanation:

i did it on paper

Answer:

A, the probability is 1/9. you get this because you multiply the probabilities

in this example its 1/3 times 1/3 so you get 1/9

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

You are wanting to solve for x

First you want to subtract 13 on both sides-

1/2x = -4

Now you want to divide on both sides-

x = -8

Answer:

1/-8

To find:

x

Step-by-step explanation:

1/2x+13=9

take 13 to the LHS. when you take 13 to the LHS it becomes negative

1/2x=9-13

1/2x=-4

by cross multiplying,

2x × -4=1

-8x=1

x=1/-8

hope it helps you!!

Answer:

f(5) = 100

f(25) = 500

f(60) = 1200

Step-by-step explanation:

All you had to do was pulug in the f(x) into the x.

F(5) = 20 (5) = 100

f(25) = 20(25) = 500

f(60) = 20(60) = 1200

PLZ MARK ME BRAINLIEST!!!!

Answer:

hi

Step-by-step explanation:

[tex] - 4d - 6 = - 10 \\ - 4d = - 10 + 6 \\ - 4d = - 4 \\ d = 1[/tex]

i think so…

Answer:

_4d=_10+6

_4d=_4

_4/_4d=_4/_4

d=1

Answer: 600 feet per hour

Because there are 60 minutes in an hour and 10 times 60 is 600

Answer:

(-6, 6)

Step-by-step explanation:

Right = -8+2

Up = 3+3

-6

6

Answer:

area=[(a+b)/2]*h

Step-by-step explanation:

a= longer base length

b= shorter base length

h= height of trapezoid

Answer:

see explanation

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Here C = 32π , thus

πd = 32π ( divide both sides by π )

d = 32

Thus a coin with diameter 32 mm should fit through a slot of 35 mm

Answer:

Slope:-1/4 y-int: 3

Step-by-step explanation:

You can you the formula y1-y2/x1-x1 or you can look at it and find out if that makes sense

Answer:

y=(-3)

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

-3 = x - 11

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

-3 = 8 - 11

-3 = -3

Answer:

X = 8

Step-by-step explanation:

8-11= -3. I think the easiest way to solve this if you are new to negative numbers is to use a number line.

Good luck!

Answer:

27/40

Step-by-step explanation:

           1

Simplify   —

           5

Equation at the end of step

1

:

 14    1

 —— -  —

 16    5

STEP

2

:

           7

Simplify   —

           8

Equation at the end of step

2

:

 7    1

 — -  —

 8    5

and then round the denominator up to 40

multiply 5 times 7 now

multiply 8 times 1

35/40-8/40=27/40

Answer: $0.45

Step-by-step explanation: $5.50/ 12= $0.45

Answer:

k=3

Step-by-step explanation:

6k -16 =-3k+11

9k=27

divide both sides by 9

Answer:

y=6x+8 or y=6x-22

Step-by-step explanation:

use the equation y=mx+b

m is the slope and b is the y-intercept

to find the slope use the equation m = y2-y1 over x2-x1

-22 - 8 / -2 - 3 = -30 / -5 = 6

6 is your slope and for the y-intercept you can choose whichever y-intercept to put into the equation.

HOPE THIS HELPS!!

Answer: A

Step-by-step explanation: I'm in college. This is middle school math lol

Answer: 2.5 mph

Explanation:

4 x 5/8 = 2.5

Answer:  (15) see below    (16) 284    (17) option 1     (18) option 3    

               (19) see below    (20) 33     (21) L = 50, w = 10

Step-by-step explanation:

15)  7xy + 3x + 5

      ↓       ↓      ↓

      ↓       ↓       5 is a term with no variable so is a constant

      ↓       3x is a term with a coefficient of 3

      7xy is a term with a coefficient of 7

         Constant         Coefficient        Term

7                                      X

3x                                                           X

5            X                                              X

16)  12a²  - 3 |b|  +  2a       ; a = -5,  b = -2

    12(-5)² - 3 |-2| + 2(-5)

 = 12(25)  - 3(2)  - 10

 = 300    - 6      - 10

 =     294         - 10

 = 284

17) 4(k + 5) = -2(9k - 4)

    4k + 20 = -18k + 8              Distributed 4 and -2

   22k + 20 =           8               Added 18k to both sides

   22k         =  -12                      Subtracted 20 from both sides    

              k = -12/22                  Divided 21 from both sides

              k = -6/11                    Simplified (GCF = 2)

18) V = π r²h

    V/(π r²) = h                Divided π r² from both sides

19) v = s² + (1/2)sh

     v - s² = (1/2)sh             Subtracted s² from both sides

   2(v - s²) = sh                 Multiplied both sides by 2

   2(v - s²)/s = h                Divided s from both sides

                            1         2       3

subtract s²          X

divide by s                                  X

multiply by 2                   X

20) F = (9/5)C + 32     ; F = 91

     91 = (9/5)C + 32

     59 = (9/5)C                          Subtracted 32 from both sides

    295 = 9C                              Multiplied both sides by 5

    32.8 = C                                Divided 9 from both sides

       33 = C                              Rounded to the nearest whole number

21) Perimeter (P) = 2Length (L) + 2width (w)

Given: P = 120,    L = 5w

               P = 2L + 2w

           120 = 2(5w) + 2w

           120 = 10w + 2w

           120 = 12w

            10 = w

                                L = 5w

                                   = 5(10)

                                    = 50

Answer: 3

Step-by-step explanation:

(-3/4)/(-2/8)=(-3/4)(-8/2)=(-3/4)(-4)=3

Answer:

x = 0.5

Step-by-step explanation:

First, distribute -4 to the parentheses:

-14 = -4(9x - 1)​

-14 = -36x + 4

Subtract 4 from both sides:

-18 = -36x

Divide each side by -36

0.5 = x

x = 0.5

➠ -14 = -4(9x - 1)

Multiplying by -1 on both sides,

we ge[tex]t[/tex]

➠ 14 = 4(9x - 1)

➠ 14 = (4 × 9x) - (4 × 1)

➠ 14 = 36x - 4

➠ 36x = 14 + 4

➠ 36x = 18

➠ x = 18/36

➠ x = 1/2

➠ x = 0.5

Answer:

the answer is none

Step-by-step explanation:

because as you can see the dots dosent match the tally's on the chart

Answer:

option b ) 2x3 - x2 + 3x - 11; 25

Step-by-step explanation:

Answer:

Lines r and s are at an angle if you change the degrees a little bit like 2x 1.5o

Step-by-step explanation:

I dont rlly know im giving it a go!