3. In the expansion of (ax^2+ by)^8 the coefficients of last two terms are -5832 and 6561, respectively.

Find the values of: a and b

Answer:

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

Step-by-step explanation:

In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.  

In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].

Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by  [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.    

Answer:

k=20

Step-by-step explanation:

The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.

Answer:

eh+gf/fh

Step-by-step explanation:

Answer:

it does have a solution x=0

Step-by-step explanation:

9x+15=3x+15

6x+15=15

6x=0

x=0

Answer:

I agree.

Step-by-step explanation:

Here is my explantion:

[tex]9x+15=3x+15\\\\Simplify:\\9x=3x\\\\Subtract 3x from both sides\\9x-3x=3x-3x\\\\\\Simplify:\\6x=0\\\\Divide both sides by 6\\\frac{6x}{6} =\frac{0}{6}\\[/tex]

Answer:

x = 3, y = 11/7.

Step-by-step explanation:

6x - 7y = 7

x - 7y  = -8   Subtract:

5x = 15

x = 3

3 - 7y = -8

-7y = -11

y = 11/7.

Answer: x = 3 and y =  11/7

Step-by-step explanation: 6x-7y+(-6x) = 7+(-6x)                                             -7y/-7 = -6x+7/-7                                                                                                     y = 6/7x-1                                                                                                               x-7 (6/7 (x) -1) = -8                                                                                             -5x+7+(-7) = -8+(-7)                                                                                         -5x/-5 = -15/-5                                                                                                        x = 3                                                                                                                         y = 6/7x-1                                                                                                               y = (6/7) (3) -1                                                                                                         y = 18/7-1                                                                                                                 18/7-1/1                                                                                                                 18/7-7/7                                                                                                                 y= 11/7                                                                                                                     x = 3 and y =  11/7

The sale of an equipment is referred to as disposal of an asset. The required answers are:

1. Gain on disposal = $2000

2.    Journal entry for the disposal of the equipment.

                              Dr                       Cr

                              $                         $

Cash acct.            10000        

Asset                                              8000

P or L                                              2000  

Disposal of an asset implies the sale of a plant, property, or equipment. This would ensure the recovery of the carrying amount of the item during sale.

1. The gain or loss on sale of the equipment can be determined by deducting its carrying amount from its recoverable amount.

Thus, to determine the gain or loss on disposal;

                                         $'000

Cost                                     48

Accum. Depreciation          40

Carrying amount                   8

Gain or loss on disposal = Selling price - carrying amount

                                         = $10000 - $8000

                                         = $2000

The gain on disposal is $2000.

2.                           Dr                       Cr

                              $                         $

Cash acct.            10000        

Asset                                              8000

P or L                                              2000                              

For more on disposal of asset, check: https://brainly.com/question/24098024

Answer:

4.75

Step-by-step explanation:

Answer:

3a -3b= -9

3a - 4b = -5

-------------------

b=-4

4a- 4b= -12

3a - 4b = -5

-------------------

a = -7

Answer:

ABD ≅ ACD and PQS ≅ PRS

Step-by-step explanation:

For ABD ≅ ACD;

AB = AC = 3.5

BD = CD = 2.5

AD ≅ AD by reflexive

Since all 3 sides are congruent, SSS can be used

For PQS ≅ PRS

PQ≅PR by given

QS≅RS by given

PS≅PS by reflexive property

Since all 3 sides are congruent, SSS can be used and they are congruent

Answer: 25.2 or 25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

because you just devide

Step-by-step explanation:

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being opposite to the angles.

so,

14/sin(80) = x/sin(60)

x = 14×sin(60)/sin(80) ≈ 12.3cm

Answer:

-410/1

Step-by-step explanation:

Hey there!

[tex]310 + ( -720)[/tex]

We need to solve this arithmetic expression,as a fraction.

[tex] \sf \longmapsto310 \: + ( - 720)[/tex]

Note that (+) and (-) equals to (-).

New Arithmetic expression will be :-

[tex]\sf \longmapsto310 + (720)[/tex]

Remove the parenthesis :-

[tex]\sf \longmapsto310 - 720[/tex]

Calculating the Subtraction:-

[tex]\sf \longmapsto310 - 720[/tex]

As 310 < 720, 720 contains (-) sign. Therefore, The Solution will be -410 not 410.

[tex]\sf \longmapsto - 410[/tex]

Converting to Fraction:-

[tex]\sf \longmapsto \: - 410[/tex]

[tex]\sf \longmapsto \: \dfrac{410 \times 1}{1 \times 1} [/tex]

[tex]\sf \longmapsto - \dfrac{410}{1} [/tex]

On Simplification of this Fraction:-

[tex]\sf \longmapsto \cancel \dfrac{ - 410}{1} [/tex]

On Cancelling , -410 Is the result.

[tex]\sf \longmapsto - {410} [/tex]

______________________________________

Henceforth , the answer of the arithmetic expression Will be :-(Simplified)

[tex]\boxed{\bf-{410} }[/tex]

________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Answer:

top to bottom,

Yes

No

Yes

Yes

Answer:

(1,5) and (4,7)

Step-by-step explanation:

The slope of linear equations can be determined by m = rise / run. Rise means the difference between the y coordinates of the two points, and run is that of the y coordinates. In this case rise / run = (7-5) / (4-1) = 2 / 3.

Answer:

x=4.6

Step-by-step explanation:

step 1 : calculate angle P since you know 2 angles

Step 2 : 57° - 90° = 180° [interior angles of a triangle ]

Step 3 : x/sin(33°) =7.1/sin(57°)

: x= 7.1Sin(33°)/sin(57°)

: x=4.6

Step-by-step explanation:

I guess, it means every meter costs these amounts.

and the specified costs are not fit the whole bundle.

it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.

so, we have

-5x

+ 2/5x × 5.5

+ 1/2x × 6.4

+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6

= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).

about the line with the 1/10 :

the leftovers. 10/10 is the whole x at the beginning.

2/5 = 4/10.

1/2 = 5/10.

I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).

in full

-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120

-5x + 2.2x + 3.2x + 0.6x = 120

-5x + 6x = 120

x = 120

so, he bought 120m in the first place.

Step-by-step explanation:

x = how many games won last year

x - 1 = how many games won each year

When we arrange Alan it brings out a dirty word

Answer:

so what is the q

Step-by-step explanation:

Answer:

i think that the correct answer is 7/12

Answer:

4.5hours - 4h30 min

Step-by-step explanation:

Doing the math: 225 miles : 50 miles per hour = 4.5 hours

Thinking about it: 50 mph means that it takes 1 hour to do 50 miles. in 2 hour he travels 100. double again, it's 4 hours for 200 miles. Then there's 25 left, so half an hour. 4.5 hours or 4h30min

Answer:

2n + 14 = 30

n = 8

Step-by-step explanation:

When the question says twice a number n, that means 2 * n = 2n.

Then when it says the sum of 2n and 14, that means 2n + 14.

Then they said that the sum of 2n + 14 = 30

If you want to find the value of n, subtract 14 from both sides:

2n = 16

Then divide by 2 on both sides:

n = 8

I hope this helps!

ok its either D or B but i think its D. Most likely.

Answer:

3 days

Step-by-step explanation:

We know that there is 5/2 buckets of bananas, and each day 5/6 is eaten, so the answer is 5/2 divided by 5/6 which is 3

Answer:

3 days

Step-by-step explanation:

2 1/2 ÷ 5/6 = 3

Therefore, the bananas will last 3 days.

Answer:

B: p=1,000m

Step-by-step explanation:

Answer:

They are congruent by HL

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

2 right triangles.

Hypotenuse and 1 leg are congruent.

Answer:

im sorry i dont know but you can try

Step-by-step explanation:

Answer:

Slope = -3/2

Step-by-step explanation:

[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]

[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]

-Chetan K