ab^3 - 9ab/12ab^2+ 12ab - 144a

Answer:

m = 3/-3 = -1

Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Answer:

1000

Step-by-step explanation:

Answer:

100000

Step-by-step explanation:

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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56 - 15 = 41min

hope it helps...!!!

Answer:

41 minutes

Step-by-step explanation:

The length of time from 8:15 PM to 8:56 PM is 41 minutes (56-15 = 41)

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

Step-by-step explanation:

3

Answer:

I believe that It would be b

9514 1404 393

Answer:

Step-by-step explanation:

x is the number of quarters

__

a) d = 3x . . . . . . the number of dimes is 3 times the number of quarters

b) n = d + 11 = 3x +11 . . . . there are 11 more nickels than dimes

c) p = 2n = 2(3x +11) = 6x +22 . . . . there are twice as many pennies as nickels

d) The total number of coins is ...

  x + d + n + p = 4453

  x + (3x) +(3x +11) +(6x +22) = 4453

  13x +33 = 4453

  13x = 4420

  x = 4420/13 = 340 . . . . number of quarters collected

  3x = 1020 . . . . . . . . . . . .number of dimes collected

  1020 +11 = 1031 . . . . . . . number of nickels collected

  2·1031 = 2062 . . . . . . . . number of pennies collected

There were 340 quarters, 1020 dimes, 1031 nickels, and 2062 pennies collected.

_____

Check

340 +1020 +1031 +2062 = 4453 . . . as required

Answer:

write 9x+80=7x+120

next transpose the x values to one side and the number to other side

i.e 9x-7x=120-80

= 2x= 140

x=140/2

and you will get the answer 70

so x=70

Step-by-step explanation:

Please mrk me as brainliest if you

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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Part A: There are 28 green beans in the garden. Part B: There are 80 plants that are either pumpkin or tomato. Part C: There are 52 more corn plants than cucumber plants.

A circle graph, often called a pie chart, is a circular graph with sectors on it, each representing a particular category or set of data. Each sector's area or angle is proportionate to the amount it stands for. In data visualisation, circle graphs are frequently used to show the relative sizes or proportions of several categories or groups within a dataset. They can instantly convey the distribution of data without the need for laborious numerical calculations, which makes them effective for presenting data that is divided into discrete groups. However, if the data is not presented in a clear and simple manner or if the sectors are not precisely drawn to scale, circle graphs may be deceiving.

Part A: The percentage of green beans in the circle graph is 14%.

14% of 200 = 0.14 x 200 = 28

Part B: The circle graph shows:

pumpkin plants and tomato plants is 20% + 20% = 40%.

40% of 200 = 0.40 x 200 = 80

Part C: The corn plants is 36% and the percentage of cucumber plants is 10%.

36% of 200 - 10% of 200 = (0.36 x 200) - (0.10 x 200) = 72 - 20 = 52

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The longest at an airport has the shape of a rectangle and an area of 2,181,600 this runaway is 180 feet wide how long is the runaway

Remember that

The area ofa rectangle is equal to

A=L*W

in this problem we have

A=2,181,600 ft2

W=180 ft

substitute given values

2,181,600=L*180

Solve for L

L=2,181,600/180

Answer:

7

Step-by-step explanation:

V = l x w x h

=7/2 x 4/3 x 3/2

=84/12

=7 feet cubed

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Trust me I even used an algebra calculator.

Answer: 118

Step-by-step explanation:

Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

If you solve for y, you find the graph has a slope of 1 and a y-intercept of 1/4. There are no points on the graph that have integer coordinates.

  -4x +4y = 1

  4y = 4x +1

  y = x + 1/4

Answer:

99x78=7722

123x56=6888

98x172=16856

900x38=34200

Step-by-step explanation:

Answer:

(2y * 2y) * (2y * 2y) * (2y * 2y)

Step-by-step explanation:

The total value of the prize is $936,000.

The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.

The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:

=  $900/week x 52 weeks/year x 20 years

= $936,000.

We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r

Plugging in the values:

PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154

PV = $900 x 657.221075423

PV = $591,498.968.

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The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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Answer: C

Step-by-step explanation: As the pattern is doubling each month

Answer:

ASA

Step-by-step explanation:

angle side angle

Answer:

10 power 10 4/4

10 power 1/4

power 3 root 10 power 4

4 ROOT 10

Step-by-step explanation:

Answer:

0.25

How to Solve:

Take the denominator of 4/16 and find a number to make it 10, 100, any one followed by zeroes:

16 x 6.25 = 100

Do the same to the numerator:

4 x 6.25 = 25

Now, take 25 and take a decimal point two spaces to the right:

0.25

Answer:

65/100 that is the answer to this question