5x
2x
7x
4x
Equation
X=

Answer:

X= 1984

Step-by-step explanation:

f(x) = 2000(X – 1980) + 10,000

Where,

f(x)= per capita income

x= year

Find x when f(x)= $18,000

f(x) = 2000(X – 1980) + 10,000

18,000 = 2000(X - 1980) + 10,000

18,000 = 2000X - 3,960,000 + 10,000

18,000 = 2000X - 3,950,000

Add 3,950,000 to both sides

18,000 + 3,950,000 = 2000X

3,968,000 = 2000X

Divide both sides by 2000

X= 3,968,000 / 2000

= 1984

X= 1984

Therefore, the per capita income was $18,000 in the year 1984

Answer:

2x-10

Step-by-step explanation:

3x2+2x-16

6+2x-16

2x-10

Answer:

That's the answer in the photo.

I believe the difference is 5 degrees Fahrenheit.

Answer:

17.42

Step-by-step explanation:

Because the third place is less than 5 you have to round it to smaller number and that is 2.

If by any chance the third number was for example six you would have to round it to 3.

Answer: The numerical length of  [tex]\overline{SU}[/tex] is 20 units.

Step-by-step explanation:

Given: Point T is on line segment [tex]\overline{SU}[/tex] .

i.e. [tex]\overline{SU}=\overline{ST}+\overline{TU}[/tex]             (i)

Since , it is given that ST=2x+6,TU=4, and SU=4x

Substitute these values in (i), we get

[tex]4x= 2x+6 + 4\\\\\Rightarrow\ 4x-2x=10\\\\\Rightarrow\ 2x=10\\\\\Rightarrow\ x=5[/tex]

Now, the numerical length of [tex]\overline{SU}= 4(5)=20\ units[/tex]

Hence, the  numerical length of  [tex]\overline{SU}[/tex] is 20 units.

Answer:

Step-by-step explanation:

ST = 16

Answer:

x=2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

6x + 2 = 9x - 4

We want terms with x on the left side and numbers on the right side.

Subtract 9x from both sides.

6x - 9x + 2 = 9x - 9x - 4

-3x + 2 = -4

Subtract 2 from both sides.

-3x + 2 - 2 = -4 - 2

-3x = -6

Divide both sides by -3.

-3x/(-3) = -6/(-3)

x = 2

Answer:

-1 4/5

Step-by-step explanation:

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction 3  5, the numerator is 3, and the denominator is 5. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5  8 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Answer:

194,440 or 127,947.559

Step-by-step explanation:

if that's supposed to be a comma on 66.559 then the answer is 194,440. If not it's 127,947.559.

answer:

x=-2

Step-by-step explanation:

my suggestion for this problem and all problems like it would to turn everything into 6ths. 1/3 would become 2/6. and 2 would become 12/6. leave the negatives. now you'll add 2/6 to -12/6. which will equal 10/6. divide 10/6 by 5/6 and youll get -2. x=-2

Answer:

x = -2

Step-by-step explanation:

● (5/6)x - (1/3) = -2

Add (1/3) to both sides

● (5/6)x - (1/3) + (1/3) = -2 + (1/3)

-2 is (-6/3)

● (5/6)x = (-6/3) + (1/3)

● (5/6)x = -5/3

Move 5/6 to the other side and switch the places of 5 and 6

● x = (-5/3) × (6/5)

● x = -30/15

● x = -2

Answer:

:)

Step-by-step explanation:

Let 'N' rep. Nancy's age

Let 'M' rep. Molly's age

1) 2N

2) M - 6

3) 2(10) = 20

therefore, Molly is 20

M = 20

M - 6 = 14 (Zander's age)

Answer:

Which expression represents Molly’s current age in terms of Nancy’s?

Answer: 2n

Which expression represents Molly’s current age in terms of Zander’s?

Answer: z plus 6

Nancy is currently 10 years old, and Zander is 14. How old is Molly?

Answer: 20 years old

Just did the assignment and got a 100, edge 2021

Answer:

40

Step-by-step explanation:

Given that the number of cans are fewer than 50.

Let the number of cans = [tex]x[/tex]

It is given that no cans remain if they are put in the stacks of five cans each.

i.e. number of cans are a multiple of 5.

Let us have a look at the numbers in decreasing order which are multiples of 5 and are lesser than 50.

45, 40, 35, 30, ......

Now, let us check the numbers one by one.

If [tex]x=[/tex] 45,

Now, they are placed on stacks of three each and one can remains.

So, the remainder when [tex]x[/tex] is divided by 3 will be 1.

But when 45 is divided by 3, remainder is 0.

Now, let us check next greatest number, which is 40.

When 40 is divided by 3, the remainder is 1.

Therefore, greater number of cans can be 40.

Answer:

(3, -1)

Step-by-step explanation:

Let A be the midpoint and (x,y) its coordinates

● x = (2 + 4)/2 = 6/2 = 3

● y = (5 +(-7))/2 = -2/2 = -1

So the coordinates are (3, -1)

Answer:

9 9/10

Step-by-step explanation:

10

55/10 +42/10=97/10=9 7/10

Answer:

a=-6

Step-by-step explanation:

2(a+5)=-2 Step 1 distribute

2a+10=-2 Step 2 minus 10 on both sides

2a=-12      Step 3 divide but 2 on both sides

a=-6

Answer:

a=-6

Step-by-step explanation:

In order to solve for a, we must isolate a on one side of the equation.

[tex]2(a+5)=-2[/tex]

2 is being multiplied by (a+5). The inverse of multiplication is division. Divide both sides of the equation by 2.

[tex]2(a+5)/2=-2/2[/tex]

[tex](a+5)=-2/2[/tex]

[tex](a+5)=-1[/tex]

5 is being added to a. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

[tex]a+5-5=-1-5[/tex]

[tex]a=-1-5[/tex]

[tex]a=-6[/tex]

Let's check our solution. Plug -6 in for a and solve.

[tex]2(a+5)=-2[/tex]

[tex]2(-6+5)=-2[/tex]

[tex]2(-1)=-2[/tex]

[tex]-2=-2[/tex]

This checks out, so we know our solution is correct.

The solution to the equation 2(a+5)=-2 is a=-6

Answer:  -2²¹

Step-by-step explanation:

Convert each term into a power of 2.

Use the product rule of adding the exponents and the quotient rule of subtracting the exponents.

[tex]\dfrac{(-2)^3\times 4^4}{16^{-1}\times 8^{-2}}\quad =\dfrac{(-1)^3(2)^3(2)^{2(4)}}{(2)^{4(-1)}(2)^{3(-2)}}\qquad =-1^3\bigg(\dfrac{2^32^8}{2^{-4}2^{-6}}\bigg)[/tex]

[tex]=-1(2^{3+8-(-4)-(-6)})\qquad =-1(2^{3+8+4+6})\qquad =-2^{21}[/tex]

Answer:

-2^21

Step-by-step explanation:

(-2)^3*4^4=-8*(2^2)^4=-1*2*4*2^8=-1*2^9*2^2=

=-1*2^11

(16)^-1*8^-2=2^-4*2^-6=2^-10

-1*2^11/2^-10=-1*2^11*2^10=-2^21

Steps to solve:

-(1 + 4x) = 4(1 - x) - 5

~Distribute both sides

-1 - 4x = 4 - 4x - 5

~Combine like terms on the left side

-1 - 4x = -1 - 4x

~Add 4x to both sides

-1 = -1

~Add 1 to both sides

0 = 0

Therefore, all real numbers are solutions.

Best of Luck!

Answer:

In the diagram, the obtuse isosceles is what you need.

For your problem, the angle F is the vertex angle B

The base angles A and Z go on both sides.

Step-by-step explanation:

Answer:

the answer here would be 2(n-3)

Step-by-step explanation:

Complete question is;

A student artist randomly selected two media from among: charcoal sketches, pencil drawings, and oil paintings, and then submitted all of her works in that media for a gallery showing. Identify the kind of sample that is described.

Answer:

Cluster sample

Step-by-step explanation:

Looking at the question, we can see that the media has already been grouped into 3 parts namely charcoal sketches, pencil drawings, and oil paintings. It has already been grouped into multiple groups for easy selection or identification.

Now this type of grouping is synonymous with cluster sampling because cluster sampling is a probability sampling technique in which the researchers divide the population into multiple groups known as clusters for research and this question clearly shows that the media has been grouped.

Answer:

the volume of the cylinder = 19.08 ft³

Step-by-step explanation:

given:

If the radius of the cylinder is 1.5 feet and the height is 2.7 feet,

find:

what is the volume of the cylinder? (Use 3.14 for pi.)

Volume of a cylinder = π r² h

where π = 3.14

radius (r) = 1.5 ft.

height (h) = 2.7 ft.

plugin values into the formula:

V = π r² h

V = 3.14 (1.5)² 2.7

V = 19.08 ft³

therefore,

the volume of the cylinder = 19.08 ft³

The question is incomplete:

1. A cosmetologist must double his/her salary before the employer con realize any profit from  his/her work,  Miss, Mead paid Miss, Adams $125,00 per week to start.

2. Miss. Mead pays Miss. Brown $125.00 per week. How much money must Miss. Brown take in for  services if Miss. Mead is to realize $50.00 profit on her work? (Conditions on salary are the same  as in problem 1)  

ODS

a. $275.00 b. $325.00 c. $250.00 d. $300.00

Answer:

d. $300.00

Step-by-step explanation:

Given that a cosmetologist must double her salary before the employer can realize any profit from  his/her work, for Miss. Mead to realize $50.00 profit on her work, you would have to determine the amount that doubles the salary of the cosmetologist and add the $50 needed as profit:

Salary= $125*2=$250

$250+$50= $300

According to this, the answer is that for Mead to realize $50.00 profit on her work, Miss. Brown must take $300.

Answer:

After 4 minutes

Step-by-step explanation:

Balloon 1

Balloon 2

Time required for the balloons to meet = x

After x minutes the first balloon will be at position:

And the second balloon will be at position:

Since they meet after x minutes, their position must be same:

So the balloons will meet after 4 minutes

Answer:

-44

Step-by-step explanation:

Answer:

23 is you number move it that many times right see what it gives you

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Solve for x:

11 x + x + 5 = 11 x + 11

Hint: | Add like terms in 11 x + x + 5.

x + 11 x = 12 x:

12 x + 5 = 11 x + 11

Hint: | Move terms with x to the left hand side.

Subtract 11 x from both sides:

(12 x - 11 x) + 5 = (11 x - 11 x) + 11

Hint: | Combine like terms in 12 x - 11 x.

12 x - 11 x = x:

x + 5 = (11 x - 11 x) + 11

Hint: | Look for the difference of two identical terms.

11 x - 11 x = 0:

x + 5 = 11

Hint: | Isolate terms with x to the left hand side.

Subtract 5 from both sides:

x + (5 - 5) = 11 - 5

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

x = 11 - 5

Hint: | Evaluate 11 - 5.

11 - 5 = 6:

Answer: x = 6

Answer:

x = 6

Step-by-step explanation:

5 + x + 11x = 11x + 11

5 + 12x = 11x + 11

5 + 1x = 11

1x = 6

x = 6

Answer:

y = 4x

Step-by-step explanation:

2(3y + 6x) = 2(5y - 2x)

Divide both sides by 2.

3y + 6x = 5y - 2x

Subtract 5y from both sides. Add 2x to both sides.

-2y = -8x

Divide both sides by -2.

y = 4x