The measure of angle 1 is (10 x + 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. 2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4. What is the measure of angle 2 in degrees?

Answer:

The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.

Step-by-step explanation:

Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.

The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.

Being:

Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:

[tex]\frac{50 - p}{6}=\frac{p-14}{6}[/tex]

Solving, you get:

[tex]6*\frac{50 - p}{6}=p-14[/tex]

50 - p= p -14

50 - p +14 = p

50 +14= p + p

64= 2*p

[tex]p=\frac{64}{2}[/tex]

P=32 dollars

This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:

So, the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.

In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.

Answer:

2j²/5

Step-by-step explanation:

We know that j has to be squared so j², and to find 2/5's of that number we need to multiply it by 2/5.

j²×(2/5)

Now to simplify it we can multiply the j² to the numerator.

2j²/5

Answer:

$10,700

Step-by-step explanation:

The total cost of the boat if Jacob makes all of his payments on time is $10,300

The total cost of the boat is the sum of the total amounts paid less the amount refunded for swift payment

Total amount paid = $800 + ($275 x 36) =

$800 + $9900 = $10,700

Amount refunded = 400

Total cost = $10,700 - $400 = $10,300

A similar question was solved here : https://brainly.com/question/14309005?referrer=searchResults

Answer: I believe PB is 4

Step-by-step explanation: The diagonal AC equals 10 (7 + 3) and for diagonal DB to equal the same length, PB must be 4 (6 + 4=10).

Answer: -4

Step-by-step explanation: f(x)= 3x - 5 | f(x) = -17

If you write the equation in this form: -17 = 3x-5 Than add +5 to each side and divide it by 3 you'll get x=-4 Which is definitely the answer.

Answer:

Yeah

Step-by-step explanation:

Hope that helped

Answer:

summation

Step-by-step explanation:

This symbol is the summation symbol

It means to sum what comes after it

Answer:

[tex]x > 3[/tex]

Step-by-step explanation:

[tex]x - 5 > - 2 \\ x > - 2 + 5 \\ x > 3[/tex]

First you collect like terms

Then you add

So, there are 3 more "parts" of students than of adults (5 - 2), right?

Those 3 parts are made up of 12 people.

12/3 = 4 people per part

2(4) = 8 adults

5(4) = 20 students

Answer:

2/5=8

Step-by-step explanation:

Answer:

5ft

Step-by-step explanation:

because you divide the quotent the the base and the reslut is divided by the top left and the left

Answer:

Step-by-step explanation:

Given the equation of a line expressed as y = 3x-1, we are to find y = f(x) for the following values of x in the table.

If y = 3x-1, then f(x) = 3

When x = -1

f(-1) = 3(-1)-1

f(-1) = -3-1

f(-1) = -4

Hence when x = -1, f(x) = -4

When x = 0

f(0) = 3(0)-1

f(0) = 0-1

f(0) = -1

Hence when x = 0, f(x) = -1

When x = 2

f(2) = 3(2)-1

f(2) = 6-1

f(2) = 5

Hence when x = 2, f(x) = 5

Answer:

n= 3 and n = -3

Step-by-step explanation:

In general

|n| = a <=> n = a or n= -a (for n and a are real numbers)

Answer:

Step-by-step explanation:

[tex]x^3 \times y^4\\\\x = 3\\y =0 \\\\(3)^3\times 0^4\\\\3^3\times\:0^4\\\\\mathrm{Apply\:rule}\:0^a=0\\0^4=0\\\\=3^3\times\:0\\\\\mathrm{Apply\:rule}\:0\times\:a=0\\=0[/tex]

Answer:

We need to calculate [tex]x^3*y^4[/tex] for x = 3 and y = 0.

First thing we do is replacing x and y on [tex]x^3*y^4[/tex]:

[tex]3^3*0^4[/tex]

Now, we only need to solve it:

[tex]3^3*0^4[/tex] = [tex]27 * 0[/tex] = [tex]0[/tex]

Remember that [tex]3^3 = 3*3*3[/tex]

Answer: The axis of symmetry is x=3.

Answer:

Step-by-step explanation:

first graph

6=8x ⇒ x=6/8=0.75

h=0.75w

second graph:

15=x/4 ⇒x=4*15 ⇒x=60

For two quantities with inverse variation, as one quantity increases, the other quantity decreases. k(constant)=xy

Answer:

-7× 2 +3= 17

-7×0+3=3

-7×5+3= -32

The required evaluated values of f(x) = -7x+3 would be 17, 3, -32 respectevily when substitute the values  x = -2, x = 0, and x = 5.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have been the given expression:

f(x) = -7x+3

To determine the evaluated values of  g(x) = 3x when x = -2, x=0, and x=5

We have to substitute x with the given number.

⇒f(x) = -7x+3

Substitute the value of x = -2 in the f(x) = -7x+3

⇒ f(-2) = -7× 2 +3

⇒ f(-2) = 17

Substitute the value of x = 0 in the f(x) = -7x+3

⇒ f(0) = -7×0+3

⇒ f(0)  =3

Substitute the value of x = 5 in the f(x) = -7x+3

⇒ f(5) = -7×5+3

⇒ f(5) = -32

Hence, the required evaluated values of f(x) = -7x+3 would be 17, 3, -32 respectevily when substitute the values  x = -2, x = 0, and x = 5.

Learn more about the algebraic expression here :

brainly.com/question/21751419

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Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = [tex]\frac{0+3}{2-0}[/tex] = [tex]\frac{3}{2}[/tex] → A

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

First find coordinates

(3,4)

(6,6)

Found these using my eye and estimating

Use the formula to find slope

[tex]\frac{y2-y1}{x2-x1}[/tex]

6-4= 2

6-3= 3

=

2/3

Answer:

-3/5

Step-by-step explanation:

-8/15 + (-1/15) = -8/15 - 1/15 = -9/15 = -3/5

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: Rs \: 552.5}}}}}[/tex]

Step-by-step explanation:

Given,

Discount percent = 15 %

Vat percent = 13 %

Discount amount = Rs 750

Vat amount = ?

Finding the Marked price ( MP )

[tex] \boxed{ \sf{Discount \: amount = \: discount\% \: of \: MP}}[/tex]

⇒[tex] \sf{750 = 15\% \: of \: MP}[/tex]

⇒[tex] \sf{750 = \frac{15}{100} \times MP }[/tex]

⇒[tex] \sf{750 = \frac{3}{20} MP}[/tex]

⇒[tex] \sf{ \frac{3}{20} MP = 750}[/tex]

⇒[tex] \sf{MP = 750 \times \frac{20}{3} }[/tex]

⇒[tex] \sf{MP = rs \: 5000}[/tex]

Finding the selling price

[tex] \boxed{ \sf{Selling \: price = \: MP - \: discount \: amount}}[/tex]

⇒[tex] \sf{5000 - 750}[/tex]

⇒[tex] \sf{Rs \: 4250}[/tex]

Finally, finding the Vat amount

[tex] \boxed{ \sf{Vat \: amount = Vat\% \: of \: selling \: price}}[/tex]

⇒[tex] \sf{13\% \: of \: 4250}[/tex]

⇒[tex] \sf{ Rs 552.5}[/tex]

Vat amount = Rs 552.5

Hope I helped!

Best regards!!

Answer:

50

Step-by-step explanation:

Given

there is 1 water station at every 0.3 KM

If there are n water stations at every 0.3 KM

then KM covered by them = n*0.3 = 0.3n

given that total KM covered is 15 km

Thus,

0.3n = 15

=> n = 15/0.3 = 50

Thus, there are 50 water stations.

Answer:

6552

Step-by-step explanation:

546 x 12

Answer:

6,552 miles

Step-by-step explanation:

Daily: 546 miles

you need to find out how many miles he drives in 12 days, so that would be the daily amount by 12

546× 12 =6,552 miles

Answer:

The value is 4

Step-by-step explanation:

This is because the value of an absolute number is always positive so the absolute value of 4 would remain 4.

Answer: 4

Step-by-step explanation: The absolute value is how far a number is away from 0

Answer:

Ok so...

Mean: 68.76

Median: 72

Range: 85

Step-by-step explanation:

Answer: y=46

Step-by-step explanation:

Subtract 6 from either side to ensure that the y is alone. This then equals y=52-6.

52-6= 46

So therefore, y=46

Answer:

y=46

Step-by-step explanation:

We are given the equation:

y+6=52

and asked to solve for y. Therefore, we must isolate y on one side of the equation.

6 is being added to y. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

y+6-6=52-6

y=52-6

y= 46

Let’s check our solution. Plug 46 in for y and solve.

y+6=52

46+6=52

52=52

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

The solution to the equation y+6=52 is y=46

Answer:

A C and A F

Step-by-step explanation:

A C goes from A to C

A F goes from A to F

If a < b, then dividing both sides by a positive number will not flip the inequality sign. The inequality flips if you divide both sides by a negative number.

So if a < b, then a/3 < b/3 as well.

Answer:

6 + (-15)

Step-by-step explanation:

6 - 15 would also be written as 6 + (-15). If you distribute the '+' into the '-15', you would get the negative 15.

1 * -15 = -15

So, 6 + (-15) would be the equivalent addition expression​.

Hope this helps.

Answer:

[tex]t \leq 63[/tex]

Step-by-step explanation:

Quotient of two numbers also means the result of the two numbers after division.

If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;

[tex]\dfrac{t}{4.2}\leq 15[/tex] (note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)

On solving the inequality for the variable t

[tex]\dfrac{t}{4.2}\leq 15\\\\multiply \ both \ sides \ by \ 4.2\\\\\dfrac{t}{4.2}* 4.2\leq 15 * 4.2\\\\t \leq 63[/tex]

Hence t is at most 63

Step-by-step explanation:

don't ask these bad questions