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stiks02 [169]
2 years ago
15

Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3​

Mathematics
1 answer:
enot [183]2 years ago
8 0

Answer:

 (3a + 2b)3

Step-by-step explanation:

STEP 1  :

Equation at the end of step 1

 (((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

 ((33a3 +  (2•33a2b)) +  (22•32ab2)) +  23b3

Step 5:

 Factoring:  27a3+54a2b+36ab2+8b3

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Mukat has five times as many book as usha.If mukat gave 16 books to usha,they each would have the same number.how many books did
vladimir1956 [14]

Mukat gets 40, Usha gets 8

Step-by-step explanation:

Mukat = 5 × Usha

After Mukat gives Usha 16 books ,Usha gets (16 + initial number of books) and Mukat gets (5 × Usha - 16)

Then Mukat = final number of books for Usha

5 × Usha - 16 = Usha + 16

(5 × Usha ) - Usha = 16+16

4 × Usha = 32

Usha = 8 i.e her number of books.

Mukat = 5×8=40.

I HOPE IT'S OK

6 0
2 years ago
"The last time I bought this product, it cost $20.00 but it looks like it costs $29.60 today. Why such a large increase?"
Oksanka [162]

Answer:

The company decided to increase the price by $9.60, or by 48%.

Step-by-step explanation:

To measure the price difference in dollars is simple, just subtract the old price from the new one:

29.60 - 20 = 9.60

Divide the price change by the old price to find the price increase in percentage:

9.60 \div 20 = 0.48 \\ 0.48 \times 100\% = 48\%

5 0
2 years ago
A button machine produces one button in 0.15 seconds. How many buttons are produced in 48.6 seconds? 48.6 divided by 0.15 Multip
Kobotan [32]

Answer

Multiply the divisor and dividend by

✔ 100

The new division problem becomes

✔ 4,860 ÷ 15

The quotient of 48.6 ÷ 0.15 is

✔ 324

Estimating to check, you get

✔ 5,000 ÷ 15 = 333.33

<u>Divide</u>

4 0
2 years ago
Read 2 more answers
Point P lies on the line with the equation y-4=3(x-2). If the x-coordinate of P is 4, what is the y-coordinate of P
maw [93]
Let's start by tidying up that equation and put it into slope-intercept form (y = mx + b); from there, we can plug in coordinates.

y - 4 = 3(x-2)

Let's use the distributive property on the right side:
y - 4= 3x - 6

Now add 4 to both sides
(y - 4) + 4 = (3x - 6) + 4

Which simplifies to:
y = 3x - 2

Since that's the equation of our line, now we can plug in coordinates and see what it churns out. 

We know that the x-coordinate of P = 4 so let's substitute 4 in for x and calculate the y-coordinate:

y = 3(4) - 2
y = 12 - 2
y = 10

So the y-coordinate for point P = 10
6 0
2 years ago
Michael needs to pay car insurance premiums of $958 two times per year. He has decided to make deposits from each paycheck to a
nata0808 [166]

Given: Car insurance premium in a first half year = $958

Car insurance premium in the second half year = $958

Total Car insurance premium in year = 2 × $958 = $ 1916

Nature of paid premium is bi-weekly = in 2 weeks

There are total 52 weeks in a year.

So, the total number of bi-week = 26

Total deposited amount per bi-weekly = $ 1916 ÷ 26 =$ 73.69 ≈ $ 74

Hence, the required amount bi-weekly will be $ 74. Therefore, option b. $ 74 is the correct option.


8 0
1 year ago
Read 2 more answers
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