Graph the line 3x + y = 12.

Answer:

(q + r) (m - p)

Explanation:

= -p(q + r) + mq + mr

= -p(q + r) + m(q + r)

= (q + r) (-p + m)

- PNW

Answer:

It will take 3 hours to drive 90miles.

Step-by-step explanation:

240miles/8hours=30miles/1 hr. 90miles/3hours

Answer:

y - 7 = m(x + 3)

Step-by-step explanation:

Apply the point-slope formula:  y - k = m(x - h)

Then we have y - 7 = m(x + 3)

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

[tex]x=\dfrac{y}{3}[/tex]   ...(i)

[tex]x+y=y^2-5[/tex]       ...(ii)

Put value of x from (i) in (ii)

[tex]\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}[/tex]

Since numbers are positive , so y=3 is correct.

And x will be 1  [from (i)]

Hence, the numbers are 1 and 3.

Answer:

40

Step-by-step explanation:

3 x 2 = 6 so then 20 x 2 = 40

Answer:

2/6 and 7/21

Step-by-step explanation:

Answer:

Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.

so assuming the gaps missng are exponents

the solution is the same exact thing

it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine

same with 32 q, nothing combines

The answer is the original expression

Answer:

(16,60)

Step-by-step explanation:

(-5, -1) is not a solution to the equation 2y = 2x - 4.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2y = 2x - 4 _____(1)

Ordered pair: (-5, -1)

Now,

(-5, -1) = (x, y)

Substitute in (1)

2y = 2x - 4

2 x (-1) = 2 x (-5) - 4

-2 = -10 - 4

-2 = -14

This is not true.

Thus,

(-5, -1) is not a solution.

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Answer:

AB = 54

Step-by-step explanation:

DE is a midsegment of the triangle and is half of AB , that is

2x + 13 = [tex]\frac{1}{2}[/tex](13x - 37) ← multiply through by 2 to clear the fraction

4x + 26 = 13x - 37 ( subtract 13x from both sides )

- 9x + 26 = - 37 ( subtract 26 from both sides )

- 9x = - 63 ( divide both sides by - 9 )

x = 7

Thus

AB = 13x - 37 = 13(7) - 37 = 91 - 37 = 54

Answer:

three times the two foot wave wuold be the six foot wave

Step-by-step explanation:

because its right

Answer: 8x = 72

Step-by-step explanation:

and in case you need to go any further at any point, x = 9

Answer:

x=266

Step-by-step explanation:

I'm sure if this is correct but this is how I did it seven times eight is 56 and you have to subtract that number by x so x would have to be bigger so it would be 56 minus 266

will give you 210

Answer:

x=-22

Step-by-step explanation:

7(8-x)=210

you would use the distributive property

56-7x=210

then subtract both sides by 56

-7x=154

then divide both sides by -7

x=-22

Answer:

42

Step-by-step explanation:

Answer:

I'm not 100% sure about this but i think its 42

Step-by-step explanation:

this is what i did

32/16=2

2*21=42

Answer:

4.835(I don't know unit.(m/in/cm)

Step-by-step explanation:

volume=πr^2h

136.78=22÷7×3^2×h

h=136.78×7÷(22×9)=4.835

Answer:

x = 63

Step-by-step explanation:

Simplifying

x + -18 = 45

Reorder the terms:

-18 + x = 45

Solving

-18 + x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + x = 45 + 18

Combine like terms: -18 + 18 = 0

0 + x = 45 + 18

x = 45 + 18

Combine like terms: 45 + 18 = 63

x = 63

Simplifying

x = 63

Answer:

-5x-3

Step-by-step explanation:

-5x+6-9=-5x-3

The inequality that describes all the solutions to the given inequality expression is x > 4

Given the inequality expression -5x + 6 < 2(-3 − x)

Expand the right-hand side of the ineqality

-5x + 6 < -6 - 2x

Collect the like terms

-5x + 2x < -6 - 6

-3x < -12

Divide both sides by -3

-3x/-3 > -12/-3

x > 4

Hence the inequality that describes all the solutions to the given inequality expression is x > 4

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Answer:

B $149.00

Step-by-step explanation:

105 * 1.65 =   173.25      (100%+ 65%)    Price with the markup            

173.25 *0.80  138.60  (Price after 20% discount .The price will be the 80%)    

138.60 * 1.075 =   148.995  (price with 7.5  sales tax.)  

Answer:

8<8 and 2>8 are both false

Answer:

B

Step-by-step explanation:

To answer the questions, we need to understand the utility functions and budget constraints for both Joey and Jim. Let's break it down step by step:

Joey's Utility Function and Budget Constraint:

Joey's utility function for whisky (w) and beer (b) is given by: U(w, b) = 5 + (w^0.3 * b^0.7)

w: The quantity of whisky (in bottles) consumed by Joey

b: The quantity of beer (in cans) consumed by Joey

Joey spends £75 in total on drink. The cost of beer is £2 per can, and the cost of whisky is £6 per bottle.

To find how many cans of beer and bottles of whisky Joey consumes, we need to maximize his utility function while staying within his budget constraint.

Joey's Budget Constraint:

Joey's total expenditure on drink (E) is given by: E = 2b + 6w

And we know that E = £75.

So, the budget constraint is: 2b + 6w = 75

Now, we can solve this problem using optimization techniques. However, without specific numerical values for the utility function and budget constraint, it's not possible to determine the exact quantities of beer and whisky consumed by Joey. We can only find the optimal consumption bundle if the specific values are given.

Joey's Indifference Curve and Budget Constraint Diagram:

To illustrate Joey's optimal consumption bundle, we would need to plot his indifference curve (representing his preferences) and his budget constraint (showing all possible affordable combinations of beer and whisky). However, without the exact values, we cannot draw the diagram.

Jim's Utility Function and Consumption:

Jim's utility function for beer (b) and whisky (w) is given by: U(b, w) = min{5, (w^0.3 * b^0.7)}

Jim's utility function shows that he insists on drinking beer and whisky together, and his utility is the minimum of 5 and the product of whisky and beer raised to certain powers.

Again, without specific numerical values for the utility function, we cannot determine the exact quantities of beer and whisky consumed by Jim.

In summary, to fully answer the questions, we would need the specific numerical values for the utility function and the budget constraint. With those values, we could then calculate the optimal consumption bundles for both Joey and Jim.

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Answer: Example for ratio: For every 1 bike there are two wheels

Example for rate: A jet is traveling 460 mph

Step-by-step explanation:

Answer:

The associative property of multiplication

 8 . ( 5. b ) = ( 8. 5) . b

Step-by-step explanation:

Explanation

The associative property of multiplication

 a . ( b. c ) = ( a. b) . c

Given numbers are  8, 5 and b

The associative property of multiplication

 8 . ( 5. b ) = ( 8. 5) . b

 8 . ( 5. b ) = ( 8. 5) . b = 40 b

Answer:

40

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

46.35 - 45 = 1.35 (change)

change/original price X 100

1.35/45 = 0.03

0.03 X 100 = 3

sales tax 3%

Answer:

278, pls brainliest

Step-by-step explanation:

Answer:

278 seats per section

Step-by-step explanation:

Division

The division allows us to divide or 'share' numbers to find the answer to a problem.

For example, to evenly share 10 sweets between 5 kids, we use division to find 10/5 = 2 sweets per kid.

It's given a high school football stadium has 3,892 seats distributed in 14 sections and each section has the same number of seats.

To find the number of seats in each section we use division:

3,892 seats / 14 sections = 278 seats per section