if the current batch of pills is the first of the day and your goal is to produce a total of 600 what percentage of your goal will you meet after the batch is finished

Answer:

x= anything less than 5

Step-by-step explanation:

We know that 5*6 is 30, so x would have to be anything less than five.

Answer:m+6<30

Step-by-step explanation:

Check the picture below.

Answer:

$9,830.40

Step-by-step explanation:

1st year--$30,000.00 x .20=$6,000.00= $30,000.00 - $6,000.00 =$24,000.00

2nd year--$24,000.00 x .20=$4 800.00=$24,000.00 -$4,800.00=$19 200.00

3rd year---$19,200.00 x .20 =$3,840.00= $19,200.00 - $3,840.00 = $15,360.00

4th year---$15,360.00 x .20=$3,072.00=$15,360.00 - $3,072.00=$12,288.00

5th year $12,288.00 x .20=$2,457.60=$12,288.00 - $2,457.60 =$9,830.40

Answer:

k=[tex]\frac{2p-m}{3}[/tex]

Step-by-step explanation:

9k+m=6p

9k=6p-m

k= [tex]\frac{6p-m}{9}[/tex]

k= [tex]\frac{2p-m}{3}[/tex]

Answer:

-41/60

Step-by-step explanation:

Type the whole thing into a calculator.

Answer:

The answer is -41/60

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

(x + 1)2 – 9 is equivalent to (x - 2)(x + 4)

because (x + 1)2 – 9  =(x + 1)2 – 3²

                                 = (x+1-3)(x+1+3) =(x-2)(x+4)  

Answer:

(x + 1)² - 9

Step-by-step explanation:

Expand each of the factors using FOIL

(x - 2)(x + 4)

= x² + 4x - 2x - 8 ← collect like terms

= x² + 2x - 8

Now consider the expansions of

(x + 1)² - 9

= x² + 2x + 1 - 9

= x² + 2x - 8 ← equivalent to (x - 2)(x + 4)

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

(x - 1)² - 9

= x² - 2x + 1 - 9

= x² - 2x - 8 ← not equivalent to (x - 2)(x + 4)

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

(x + 1)² - 7

= x² + 2x + 1 - 7

= x² + 2x - 6 ← not equivalent to (x - 2)(x + 4)

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

(x - 1)² - 7

= x² - 2x + 1 - 7

= x² - 2x - 6 ← not equivalent to (x - 2)(x + 4)

Answer

23. 180

24. congruent

25. transversal line

Answer:

Step-by-step explanation:

marcus : deposits 25 + 15 each week(w)

25 + 15w

Philip : deposits 40 + 10 each week(w)

40 + 10w

when will they be equal.....set them equal and solve for w, the number of weeks

25 + 15w = 40 + 10w

15w - 10w = 40 - 25

5w = 15

w = 15/5

w = 3 <==== they will be equal at 3 weeks

The number of weeks for both Marcus and Phillip to have the same amount of money saved is 3 weeks

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of weeks be = A

The amount Marcus deposits in the bank account = $25

The amount Marcus deposits each week = $15

So ,

After A weeks , Marcus will deposit = $ 15A

And , Total deposit in the bank for Marcus =
Amount Marcus deposits in the bank account + Amount Marcus deposits for A weeks

Total deposit in the bank for Marcus = 25 + 15A

And ,

The amount Phillip deposits in the bank account = $40

The amount Phillip deposits each week = $10

So ,

After A weeks , Phillip will deposit = $ 10A

And , Total deposit in the bank for Phillip =
Amount Phillip deposits in the bank account + Amount Phillip deposits for A weeks

Total deposit in the bank for Phillip = 40 + 10A

Now , for both Marcus and Phillip to have the same amount after A weeks ,

Total deposit in the bank for Marcus = Total deposit in the bank for Phillip

Substituting the values , we get

25 + 15A = 40 + 10A

Subtracting 10A on both sides , we get

5A + 25 = 40

Subtracting 25 on both sides , we get

5A = 15

Divide by 5 on both sides , we get

A = 3 weeks

Hence , The number of weeks for both Marcus and Phillip to have the same amount of money saved is 3 weeks

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Answer:

[tex]a = - \frac{3}{4}[/tex]

Step-by-step explanation:

The correct solution of the given equation is as follows :

We have,

[tex]\frac{1}{64} = 16^{2a}[/tex]

⇒ [tex]4^{- 3} = (2^{4} )^{2a}[/tex]

⇒ [tex]2^{(2 \times (-3))} = 2^{8a}[/tex]

⇒ [tex]2^{- 6} = 2^{8a}[/tex]

Comparing the power of equal base, we get

- 6 = 8a

⇒ [tex]a = - \frac{6}{8}[/tex]

⇒ [tex]a = - \frac{3}{4}[/tex]

Therefore, before equating the powers of two terms the base of the terms should be equal and here this is the error. (Answer)

Answer:

The bases were not the same when the exponents were set equal to each other.

16 should have been written as 4 squared.

The exponent on the right should be 4a instead of 8a.

The correct solution is a = -3/4

Step-by-step explanation:

correct on edge

Answer:

-4v + 8 > -3v - 9

-v + 8 > -9

-v > -17

v < 17

Answer:

vhgxyghfjugcfydcf

Step-by-step explanation:

Answer:

median=6, range=2 mean=61 mode=7

the median is the middle which is 6

The range is the lowest-biggest number which would be 2

mean=average

mode is the one that appears most

Answer:

68 / 11 = mean

7 = mode

6 = median

2 = range

Step-by-step explanation:

Mean means the average

Mode means the most common

Median means the middle

Step 1:  Find the mean by adding all the values then dividing by the amount of values

5 + 5 + 5 + 6 + 6 + 6 + 7 + 7 + 7 + 7 + 7​ = 68

68 / 11 = mean

Step 2:  Find the mode which is the most common

5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7​

5 is repeated 3 times, 6 is repeated 3 times, 7 is repeated 5 times

7 = mode

Step 3:  Find the median which is the middle

5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7​

6 = median because it is in the middle

Step 4:  Find the range which is the difference the highest and lowest number

7 - 5 = 2

2 = Range

Yo sup??

P(A|B)=P(A∩B)/P(B)

P(A∩B)=probability of finding a girl and is sophomore

P(B)=probability of finding a sophomore

P(A|B)=9/10

Hope this helps.

Answer:

Step-by-step explanation:

Total number of persons = 37

Number of girl and sophomore= 9

Prob(girl/sophomore) = 9/37

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation: The square root of 4 is 2.

4 is a perfect square which means that a whole number which in this case is 2 can be multiplied by itself to give us 4.

It's also on our perfect square list which I have attached below.

Answer:

2.4 %

Step-by-step explanation:

annual growth is the changes in the value of asset

STEP 1: annual growth rate

= (current value - old value)/old value

= (4100 - 5000)/ 4100

= -0.2195 // 21.95%

Step 2: Mean of x

mean of x= average of x

          = total of x / count of x ( x here is the annual growth rate)

       = annual growth rate / no of years

        =  -0.2195/ 9

       = -0.02 // 2.4 %

Answer:

25500 people

Step-by-step explanation:

We are given;

Number of people is 19125

The percentage representing the number is 75%

We need to determine the total population;

The total population will be 100%

Therefore;

If 75% = 19125 people

Then, 100% will represent;

 = (19125 ÷ 75) × 100

 = 255 × 100

 = 25500 people

Therefore, the total population of the town is 25500 people

Final answer:

To find the total population of the town, divide 19,125 (75% of the population) by 0.75, resulting in a total population of 25,500.

Explanation:

To find the total population of the town when given that 19,125 people represent 75%, we need to use the concept of percentages. The number 19,125 is 75% of the total population, so if we let total population equal 'x', we can set up the equation 0.75x = 19,125. To solve for 'x', we divide both sides of the equation by 0.75.

Therefore, the equation to find the total population is:

x = 19,125 / 0.75

Calculating this gives us:

x = 25,500

So, the total population of the town is 25,500.

Answer:

Note: N is represented by n instead.

Step-by-step explanation:

[tex]720 = n + 315 + 240[/tex]

Add the numbers

[tex]720 = n + 555[/tex]

Move the variable to the left-hand side and change its sign

[tex] - n + 720 = 555[/tex]

Collect like terms

[tex] - n = 555 - 720[/tex]

Calculate the difference

-N= - 165

N= 165

Hope this helps

Answer:

The lower bound of 19.4 is 19.35

Answer: FIrst option, Fourth option and Fifth option.

Step-by-step explanation:

First it is important to know the definition of "Dilation".

A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.

If the length of CD is dilated with a scale factor of "n" and it is centered at the origin, the length C'D' will be:

[tex]C'D'=nCD=(n)(12\ units)[/tex]

Therefore, knowing this, you can determine that:

1. If [tex]n=\frac{3}{2}[/tex] , you get:

[tex]C'D'=(\frac{3}{2})(12\ units)=18\ units[/tex]

2. If [tex]n=4[/tex], then the length of C'D' is:

[tex]C'D'=(4)(12\ units)=48\ units[/tex]

3. If [tex]n=8[/tex], then:

[tex]C'D'=(8)(12\ units)=96\ units[/tex]

4. If [tex]n=2[/tex], then, you get that the lenght of C'D' is:

[tex]C'D'=(2)(12\ units)=24\ units[/tex]

5. If [tex]n=\frac{3}{4}[/tex], the length of C'D' is the following:

[tex]C'D'=(\frac{3}{4})(12\ units)=9\ units[/tex]

Answer:$493.33

Step-by-step explanation:

$373.75  Terry paid per month.

A division is a process of splitting a specific amount into equal parts.

Given that Terry shared an apartment with three other people. .

The total number of people is 4.

Each person paid an equal share of the rent. Together they paid $1495.00 per month.

We have to find the Terry pay per month.

To find this we have to divide $1495.00/4

$373.75

Hence, $373.75  Terry paid per month.

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Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Consider the ratio of the x and y- coordinates, image to original, that is

scale factor = [tex]\frac{2}{6}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

12a + 24 = 6(2a + 4) is the equivalent expressions

Step-by-step explanation:

Given the terms ; 4, 12a, 6, 2a, and 24

There are two terms with unknown = 12a and 2a

but 12a = 2a x 6 .........(1)

from the last term = 24 = 6 x 4 ...........(2)

add both equation 1 and 2 = 12a + 24

12a + 24 = 6(2a + 4) is the equivalent expressions .

to VERIFY; Use a = 2

substitute into the expression ; LHS = RHS

= 12(2) + 24 = 24 + 24 = 48 (LHS)

FOR RHS = 6(2a+4) = 6(2x2 + 4)

= 6(4+4) = 48

Hence LHS = RHS

Answer:

I think the slope is zero

Answer:

The slope is 0.

Step-by-step explanation:

If the slope line is straight with the x-axis, its 0.

If the slope isnt going straight on x nor y-axis, it had a slope of anything greater or less than 0, but not 0.

Answer:

B. R/3

Step-by-step explanation:

First, let us find out how many miles the hikers travel per day.

They walk at a rate of two mph for eight hours each day which means that they travel 16 miles per day (8x2).

Because the total distance of the great wall is 3948 miles to find out the amount of time needed...

3948/16 = 246.75 days (which is greater than 3 months)

answer: They can't cover the entire distance in three months.

Answer:

There are 392 students in the seventh grade.

Step-by-step explanation:

Let us assume that there are x number of students in the seventh grade.

Now, 3/8 of the seventh grade students were taking Advanced math at the beginning of the year, but seven dropped out by the end of the year.

So, after the end of the year there were [tex](\frac{3}{8}x - 7)[/tex] number of students taking advanced math.

So, as per given condition, [tex](\frac{3}{8}x - 7) = 140[/tex]

⇒ [tex]\frac{3}{8}x = 147[/tex]

⇒ x = 392

Therefore, there are 392 students in the seventh grade. (Answer)

Answer:

True

Step-by-step explanation:

A ratio is a numerical comparison broken down to its most simplest form. Theoretically, a ratio can be the same as a percentage.

45% is the same as 45/100. It can be simplified by dividing 5 from it to get 9/20...

which is the same as the 9:20 ratio.

Hope this helps!

Hope this

Final answer:

The statement is true; A being 45% of B is the same as the ratio A:B being 9:20, since 45% can be expressed as the fraction 9/20.

Explanation:

The statement that if A is 45% of B, then the ratio A:B is 9:20 is true. To understand this, we consider that 45% can be written as a fraction, which is 45/100 or simplified to 9/20.

Using the definition of percentage as a ratio that compares numbers with a denominator of 100, we can translate 45% into a fraction or ratio. This makes A/B = 9/20. Hence, expressing A as a percentage of B (A is 45% of B) is the same as writing the ratio of A to B as 9 to 20.

A practical example can illustrate this further. If B were $100, then 45% of $100 is $45, meaning A would be $45. Thus, A:B would be $45:$100, which simplifies down to 9:20 when considering their fractional equivalents.

Answer:

17 and 26 (cannot be divided evenly by 8 and 9)

72 (LCM for 8 and 9)

Step-by-step explanation:

The value of 2 numbers that cannot be divided evenly by 8 or 9 are 17 and 19.

And, The value of 1 number that can be divided evenly by both 8 and 9 is 72.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

The value of 2 numbers that cannot be divided evenly by 8 or 9 are,

⇒ 17 and 19

Cleary. Both number cannot divide by 8 or 9.

And, The value of 1 number that can be divided evenly by both 8 and 9 is,

⇒ LCM of {8, 9}

⇒ 72

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Well, first off, any ameteur who read the question once would know he is INCORRECT, this is because you can easily see he's dividing it by 3 not 6 like you should be, so 2.99 divided by 6 is 0.498333 ( continuing ) so since this must be rounded to the nearest hundredth, so, 50 cents per bottle.

So question 1: No, because he divided with the incorrect numbers.

Question 2:( I actually don't understand this question, cause we just established he was wrong ) so since I don't understand this one, imma say no, or meh.

CORRECT unit rate: 50 cents per bottle.

Hope this helps, if not, comment below please!!!!

Eighteen less than the quotient of twelve and a number is written as:

[tex]\frac{12}{x} - 18[/tex]

Solution:

Given statement is:

Eighteen less than the quotient of twelve and a number

We have to translate the given sentence into algebraic expression

Let "x" be the number

Therefore,

Eighteen less than the quotient of twelve and "x"

Quotient means result of division

Therefore,

[tex]\frac{12}{x} - 18[/tex]

Which means, 18 less than quotient of 12 and x

Thus the given sentence is translated into algebraic expression

The phrase 'eighteen less than the quotient of twelve and a number' is mathematically expressed as 12/n - 18, where n represents the unknown number.

The expression 'eighteen less than the quotient of twelve and a number' translates to a mathematical operation. First, we find the quotient of twelve and a number, which is the result of dividing twelve by that number (let's call it n). Then, we subtract eighteen from that quotient. The algebraic representation of this expression is 12/n - 18.

It's important to follow mathematical rules and order of operations correctly when performing such calculations, similarly to how the rules of arithmetic must be applied correctly regardless of the context, as is described in the example of counting goats or students. Mathematics provides various methods to arrive at the correct answer, and in this case, simplifying the operation is straightforward. It is a demonstration of understanding the correct usage of mathematical operations as well as number fluency.

See picture for solution and answer.