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4 years ago

3.4k+(0.63−0.81k)÷0.9=5.7

Mathematics

2 answers:

Monica [59]4 years ago

5 0

The answer is k = 2

iren2701 [21]4 years ago

5 0

Answer:

k = 1.93 which can be rounded up to 2

Step-by-step explanation:

3.4k + (0.63 − 0.81k) ÷ 0.9 = 5.7 You don't need parentheses because you can't distribute

3.4k + 0.63 − 0.81k ÷ 0.9 = 5.7 Combine like terms

2.59k + 0.7 = 5.7

- 0.7 - 0.7 Subtract 0.7 from both sides

2.59k = 5 Divide both sides by 2.59

k = 1.93 which can be rounded up to 2

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Miguel volunteers at a library. He needs to arrange 576 books on shelves for a book sale. There are 16 empty shelves. Miguel put

Sergeeva-Olga [200]

Answer:

The equal number of books that is arranged on 16 empty shelves is 36 .

Step-by-step explanation:

Given as :

The total number of books Miguel need to arrange = 576

The total number of empty shelves = 16

Let The total number of books arrange on each shelves = x

So , According to question

The total number of books Miguel need to arrange = The total number of empty shelves × The total number of books arrange on each shelves

I.e 576 = 16 × x

Or, x = $\frac{576}{16}$

∴ x = 36

Hence The equal number of books that is arranged on 16 empty shelves is 36 . Answer

6 0

3 years ago

Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-d

SashulF [63]

Answer:

The age of pluto is:

5,560,000,000 years old = 5.56 × 10⁹ years old

x = 5.56

y = power of 9

Step-by-step explanation:

Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.

We write this in standard form or scientific notation.

5,560,000,000 years old = 5.56 × 10⁹ years old

x = 5.56

y = power of 9

4 0

3 years ago

Theresa Morgan a chemist has a 10% hydrochloric acid solution and a 65% hydrochloric acid solution. How many liters of each shou

prisoha [69]

<u>ANSWER: </u>

170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.

<u>SOLUTION: </u>

First, set up a table. Fill in the unknowns with variables x and y. The table is attached below

From this, we can easily set up the two equations.

Sum of values of two acids = Value of mixture

0.1x + 0.65y = 1122

For convenience, we'll multiply the entire equation by 100,

10x + 65y = 112200 ------ (1)

Now, Sum of amounts of each acid = Amount of mixture

x + y = 1870 ---------(2)

multiply (2) with 10 for easy calculation and derive the equation into one variable.

10x + 10y = 18700

Subtracting equation (2) from (1),

( + ) 10x + 65y = 112200

( − ) 10x + 10y = 18700

we get the solution as,

0 + 55y = 93500

Thus, 55y = 93500

y = 1700

Substituting y = 1700 in (2),

x + 1700 = 1870

x = 1870 - 1700

x = 170

So, we have x = 170 and y = 1700

We can conclude that 170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.

4 0

3 years ago

Can someone answer these pls

Vitek1552 [10]

the rate of growth will be 1.16

4 0

3 years ago

Read 2 more answers

Which expression is equivalent to ^

mash [69]

Answer:

Step-by-step explanation:

lets break down 120 to see what it is divisible by and see if any of those numbers are perfect squares.

120/2=60

120/3=40

120/4=30

we can stop there because 4 is a perfect square and 30 can not be reduced any further to produce a perfect square.

do not forget there is only one x so it must stay in side the radical.

your answer is 2sqrt(30x)

5 0

3 years ago