step by step explanation, please

Answer:

look at the photo..............

9514 1404 393

Answer:

  log₅(21) = log₅(3) +log₅(7)

Step-by-step explanation:

The relevant relation is ...

  log(ab) = log(a) +log(b)

where the logs have any consistent base.

__

Here, we have ,,,

  ab = 21 = 3·7.

Then ...

  log(21) = log(3) +log(7)

When the logs are to base 5, that becomes ...

  log₅(21) = log₅(3) +log₅(7)

Answer:

I think the answer is 98?

Step-by-step explanation:

I added 225+45+25 and got 295. Next, I divided 295 by 3 and got 98. (sorry if I'm wrong.)

Three postal workers can sort a stack of mail in 25 ​minutes, 45 ​minutes, and 225 ​minutes, respectively. Time taken if all the three work together is 15min

What is Time?

Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.

The first worker can sort the stack in 25 minutes. So every minute that goes by,

he does 1/25 of the job.

The second employee completes 1/45 of the stack per minute,

While the third employee completes 1/225 of the task.

Minutes are represented by x, and I've set them all to 1 to indicate that a single stack was sorted.

x·1/25 + x·1/45 + x·1/225 = 1

To eliminate all fractions from the calculation, multiply each term by 225.

225x/25 + 225x/45 + 225x/225 = 225

9x + 5x + 1x = 225

15x = 225

x = 225 / 15

x = 15

Hence, It will take 15min to sort the mail if all three work together

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Answer:

a) 1/13, b) 0.077, c) 7.7%

Step-by-step explanation:

There are 4 cards of 8 in a deck, so the probability is 4/52, which can be reduced to 1/13. 1/13 rounded to the nearest thousandths is 0.077, which is 7.7%.

Ask your old Brother or Sister they could help you out with this if not then wait till someone helps you on here!

The two equations that can be used to represent his number of visits with his total cost will be 20 + 2x and 5x.

Let the number of visits be represented by x.

Since Keith can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit, then the equation to represent the information will be:

20 + (2 × x) = (5 × x)

20 + 2x = 5x

Therefore, the equations will be 20 + 2x and 5x.

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Answer:

từ khoảng 70 đến 90 phần trăm

Answer:

b) p=26

Step-by-step explanation:

3p + 3 · 8 = 2 ·2p  - 2

3p + 24  = 4p - 2

p = 26

Part A:

GIVEN:  Strawberry Juice = [tex]0.85[/tex] liters, Mango Juice = [tex]0.50[/tex] liters, Watermelon Juice = [tex]0.15[/tex] liters, Drank Juice = [tex]0.30[/tex] liters.

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· Find the expression

In this case, all of them have to be combined to find the expression

Thus,

Expressions in these queries are arithmetical statements that may be defined by the operator, and the following discussion could indeed define a minimum of 2 terms containing the numbers or the variables, or both.

strawberry juice = 0.85 liter

mango juice = 0.50 liter

watermelon juice= 0.15 liter

drank juice = 0.30 liter

solution:

0.85+0.5+0.15 = 1.5

if she drank 0.3, remove it from 1.5, then 1.3

this expression would be : (0.85+0.5+0.15) - 0.3 = 1.2

Answer:

4.17666666666666666667

Step-by-step explanation:

add 4.5 4.21 and 3.82 then divide it by 3

Answer:

The answer is 10 12/85    Hope you pass!

Answer:

48 meters

Step-by-step explanation:

The drawing will be twice as large in all dimensions.  The perimeter will be the same, 48 meters.  The new scale for the new drawing should reflect that 1 unit on the drawing = x meters.  In both cases the perimeter will be the same.  The drawing size and scale factors are different.  When you get to a scale of 1:1, you'll have an actual drawing with a perimeter of 48 meters.

Answer:

A triangle that has no equal sides is a scalene triangle.

Answer:

The only zero of [tex]F^{-1}(x)[/tex] is [tex]3[/tex].

Step-by-step explanation:

The function [tex]F^{-1}[/tex] is the inverse of function [tex]F[/tex].

For a given [tex]x[/tex] and a given [tex]y[/tex], [tex]F^{-1}(y) = x[/tex] if and only if [tex]F(x) = y[/tex].

Let [tex]y[/tex] be a zero of [tex]F^{-1}(y)[/tex]. That is, [tex]F^{-1}(y) = 0[/tex].

By the reasoning above, since [tex]x = 0[/tex] and this particular [tex]y[/tex] satisfy [tex]F^{-1}(y) = x[/tex], it must be true that [tex]F(x) = y[/tex] for the same [tex]x = 0\![/tex] and [tex]y\![/tex].

Since [tex]x = 0[/tex] and [tex]F(x) = x + 3[/tex], [tex]F(0) = 3[/tex]. Therefore, [tex]y = F(0) = 3[/tex] since [tex]y = F(x)[/tex].

Thus, the zero of [tex]F^{-1}(y)[/tex] would be [tex]y = 3[/tex].

Answer:

$2.50 for 24 lb

Step-by-step explanation:

only 10 cents ish per pound

Answer:

Step-by-step explanation:

Given

Selling price of the cake is:

Selling price of each piece:

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x2 - 8x -12 = 0

divide through by 4

x2 - 2x - 3 = 0

x2 - 3x + x - 3 = 0

(x2 - 3x) + (x - 3) = 0

x(x - 3) + 1(x - 3) = 0

(x + 1) (x - 3) = 0

x + 1 = 0 and x - 3 = 0

x = -1 and x = 3

Answer:

B IS THE ANSWER

Step-by-step explanat

(22x2 -  8x) -  12  = 0

  4x2 - 8x - 12  =   4 • (x2 - 2x - 3)

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -2 .

     -3    +    1    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  1  

                    x2 - 3x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-3)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-3)

            Which is the desired factorization

4 • (x + 1) • (x - 3)  = 0

A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately  

Any solution of term = 0 solves product = 0 as well.

  Solve  :    x+1 = 0

Subtract  1  from both sides of the equation :  

                     x = -1

   Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

Answer:

It would be 162

Step-by-step explanation:

690 x 0.235 = 162.15 which rounds to 162

Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352

The compound interest relationship is computed using the relation :

Plugging the values into the formula :

Final amount = 80000(1 + 12%)²

Final amount = 80000(1 + 0.12)²

Final amount = 80000(1.12)²

Final amount = $100352

Therefore, the final amount in the second year is $100352

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Answer:

x=1,y=-2

Step-by-step explanation:

Answer:

=3x+5

Step-by-step explanation:

Let's simplify step-by-step.

5x+5−2x

=5x+5+−2x

Combine Like Terms:

=5x+5+−2x

=(5x+−2x)+(5)

=3x+5

Answer:

=3x+5

Answer:

[tex]\boxed{\boxed{\sf 3x+5 }}[/tex]

Step-by-step explanation:

[tex]\sf (5x+5)-2x[/tex]

[tex]\sf \left(a\right)=a[/tex]

⇒ First step is to get rid of expression parentheses:

[tex]\longmapsto[/tex] [tex]\sf 5x+5-2x[/tex]

⇒ Now, we need to combine like terms:

[tex]\longmapsto[/tex] [tex]\sf (5x-2x)[/tex] [tex](5)[/tex]

[tex]\longmapsto[/tex]  [tex]\sf 3x+5[/tex]

__________________________________

Answer:

gffghjjdfdgfgjgfdgj

Step-by-step explanation:

Answer:

after a dry periods lasting many years only a few individuals of a tree population survive and then produce drought tolerant offspring.

Step-by-step explanation:

Answer:

53/8 = 53/8

Step-by-step explanation:

Here we will simplify 53/8 to its simplest form and convert it to a mixed number if necessary.

In the fraction 53/8, 53 is the numerator and 8 is the denominator.

When you ask "What is 53/8 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.

We do this by first finding the greatest common factor of 53 and 8, which is 1.

Then, we divide both 53 and 8 by the greatest common factor to get the following simplified fraction:

58/3

Therefore, this equation is true:

53/8 = 53/8

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

53/8 = 6 5/8

-Hope this helps.

Answer:

£2380.13

Step-by-step explanation:

An increase of 8.5% is 100% + 8.5% = 108.5% = 1.085 , then

£2193.67 × 1.085 = £2380.13 ( to 2 dec. places )

Answer:

40%

Step-by-step explanation:

Answer:

undoable

Step-by-step explanation:

theres no =