Final answer:
The number in question is 9. This is found by setting up the equation 2x - 12 = 6 and solving for x.
Explanation:
To find the number when twelve is subtracted from twice the number and the result is six, we set up the equation 2x - 12 = 6. To solve for the number (x), follow these steps:
Add 12 to both sides of the equation: 2x - 12 + 12 = 6 + 12, which simplifies to 2x = 18.Divide both sides by 2 to isolate x: 2x/2 = 18/2, which simplifies to x = 9.Therefore, the number that satisfies the condition is 9.
a company charges $8 an hour for lawn mowing. what would the company charge for a lawn that takes 1 hour and 45 minutes to mow?
there are 60 minutes in an hour so
t = 1 45/60 = 1 3/4
t = (4 * 1 + 3)/4 = 7/4
$ 8* 7/4 = 56/4 = $14
they will charge $14.00
simplify. remove grouping sbols and combine like terms
Answer:
[tex]5a^2+12b^2-40b[/tex]
Step-by-step explanation:
First distribute the -4 to the 2b and -3b. This leaves you with [tex]5a^2-8b+12b(b+4)[/tex]
Now you can distribute the 12b to b and +4. This leaves you with [tex]5a^2-8b+12b^2+48b[/tex]
Now you can combine your like terms leaving you with [tex]5a^2+12b^2-40b[/tex].
if n represents a number write an expression for the quantity of four less than the square of this number divided by the quantity five more than four times the number
A number is represented by = n.
We need to write an expression for "an expression for the quantity of four less than the square of this number divided by the quantity five more than four times the number ".
Let us break the statement into smaller parts.
"The quantity of four less than the square of this number(n)".
Square of n is = n^2.
4 less than n^2 = n^2 -4.
"This number(n) divided by the quantity five more than four times the number"
4 times the number n = 4×n = 4n.
Five more than four times the number = 4n +5.
Therefore, we can repharse given statement by an easy way as:
" 4 less than n^2 is divided by (4n+5)."
or (n^2 - 4) ÷ (4n+5).
In fraction form : [tex]\frac{n^2 - 4}{4n+5}[/tex]
Therefore, final expression would be [tex]\frac{n^2 - 4}{4n+5}[/tex].
The expression for the quantity of four less than the square of a number divided by the quantity five more than four times the number is (n^2 - 4) / (4n + 5)
Explanation:To write an expression for the quantity of four less than the square of a number divided by the quantity five more than four times the number, we can represent the number as 'n'.
The square of the number is written as n2.
Four less than the square of the number is (n2 - 4).
Five more than four times the number is (4n + 5).
Therefore, the expression for the given quantity is:
(n2 - 4) / (4n + 5)
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A randomly generated list of number from 0 to 8 is being used to simulate an event, with the numbers 0, 1 and 2 representing a success. What is the estimated probability of a success?
A. 30%
B. 33%
C. 20%
D. 25%
The correct answer is B. 33%
In order to find the percentage of success, you need to take the amount of numbers for success and divide by the total number of options. 0-8 represents 9 different options. 0-2 represents 3 possible successes. Therefore, we divide 3 by 9.
3/9 = 33%
Ryan runs 100 m two times. His times were 14.19 s and 13.78 s.
Daniel runs 100 m two times. His times were 15.77 s and 16.24 s.
How much greater was Daniel's total time than Ryan's total time?
Enter your answer in the box.
Answer is 4.04 by adding both of the time of each then subtracting then from each others time
Answer:
4.04
Step-by-step explanation:
take the number 14.19 and add that to 13.78, you get 27.97.
Now take 15.77 and add that to 16.24, you get 32.01.
Now take 32.01 and 27.97 and subtract them.
You get 4.04.
And thats your answer
please help on four and six
4) 600
Using the equation 450=0.75(x)
you find x and you get 600 since it needs to be 75% of a number to be 450
6) 500
Using the equation 75=0.15(x)
You find and you get 500
500 grams of sugar occupies a volume of a 0.315 liters whats the density of the sugar in grams per milliliter
Answer
Density of Sugar is 1.59 grams per milliliter.
Step-by-step explanation:
The answer is required to be given in grams per milliliter.
So we should first convert the values to match the units.
Sugar is given as 500 grams so we don't need to change the units.
Volume is given in liters. So we need to change it to milliliters.
There are 1000 milliliters in 1 liter.
Therefore,
[tex]0.315[/tex] liters = [tex]0.315*1000[/tex] milliliters
=[tex]315[/tex] milliliters
Density of Sugar = {Number of grams of Sugar/ Volume of the Solvent]
=500 grams / 315 milliliters
=1.59 grams per milliliter (Answer is given to 2 decimal places)
Final answer:
The density of sugar given the mass of 500 grams and a volume of 0.315 liters is calculated as 1.587 grams per milliliter (g/mL) after converting liters to milliliters.
Explanation:
To calculate the density of sugar in grams per milliliter (g/mL), we utilize the formula density = mass/volume.
Given that we have 500 grams of sugar occupying a volume of 0.315 liters, first, we need to convert the volume from liters to milliliters for consistency in units, knowing that 1 liter equals 1000 milliliters.
Thus, 0.315 liters is equal to 315 milliliters.
Applying the formula, the density = 500 grams / 315 milliliters.
Therefore, the density of the sugar is 1.587 g/mL.
This value indicates the mass of sugar that would occupy a one milliliter volume.
If |n| is a positive number, then n is a negative number. Which of the following would be a counterexample?
A. –10
B. –4
C. –1
D. 10
A counterexample for the following would be D, because it is the only positive number, which is opposite of a negative number.
The counter-example is 10. the correct option is D.
What is an absolute value?Absolute value refers to the removal of any preceding minus sign and the treatment of all numbers as positive (or zero).
Given that If |n| is a positive number, then n is a negative number.
Take all the negative values of n for the function.
|n| = |-10| = 10
|n| = |-4| = 4
|n| = |-1| = 1
|n| = |10| = 10
In the above values, the counter-example is 10 because the value is positive. After putting value in the absolute function the value will remain the same.
Therefore, the counter-example is 10. the correct option is D.
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|x|+5=18? Solve and Show your Work?
Answer:
X = 13 or X = -13
Step-by-step explanation:
Step 1: Add -5 to both sides.
|x| + 5 + − 5 = 18 + − 5
|x| = 13
Step 2: Solve Absolute Value.
|x| = 13
We know either x = 13 or x = -13
Hope this helps :-)
Answer:⇒⇒⇒⇒⇒⇒⇒[tex]x=-13[/tex] or [tex]x=13[/tex]
Step-by-step explanation:
Subtract by 5 from both sides of the equation.
[tex]|x|+5-5=18-5[/tex]
Simplify.
[tex]|x|=13[/tex]
[tex]x=-13 or x=13[/tex]
Hope this helps!
Thank you for posting your question at here on brainly.
-Charlie
Whats the answer? and how do you set the problem up
-1 = 3r + 2r
-1 = 5r Combine like terms
[tex]\frac{-1}{5}[/tex] = [tex]\frac{5r}{5}[/tex] Divide both sides.
Final answer: -0.2 = r
hope that helps :)
If you are a lawyer then you passed the bar exam
conditional (original): if you are a lawyer, then you passed the bar exam
converse: if you passed the bar exam, then you are a lawyer
inverse: if you are not a lawyer, then you did not pass the bar exam
contrapositive: if you did not pass the bar exam, then you are not a lawyer
If f(x) = 3x and g(x)=1/3x, which expression could be used to verify that g(x) is the inverse of f(x)?
A. 3x(x/3)
B.(1/3x)()3x
C.1/3(3x)
D.1/3(1/3x)
34 points
Answer:
C would be able to verify the equation.
Step-by-step explanation:
In order to tell if any equation is a inverse, you can plug one equation in for x in the other. If the result is y = x, then it is an inverse. C is putting f(x) in for x in the g(x) equation. If you multiply this out, it comes out to y = x
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
If two functions are inverse of each other, then their composition is equal to the variable, in this case, it is x. Since f(x)=3x, while g(x)=1/3x, therefore, we can write,
g(f(x))
= 1/ 3(3x)
Hence, the correct option is C.
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What is the range of f(x)=3x+9
Answer:
The range is all real numbers or (-∞, ∞)
Step-by-step explanation:
You can plug in any real value of x into this function to output another real value.
Answer:
The answer is: {y|y>9}
How many times greater is 8.5×108 than 3.4×105 ?
Answer:
2.5*10^3 times greater, or 2500 times greater.
Step-by-step explanation:
Dividing 8.5*10^8 by 3.4*10^5 will yield the desired answer (which is a ratio). Note: 108 and 105 MUST be written with the symbol " ^ " to denote exponentiation.
8.5*10^8
--------------- = (8.5 / 3.4)*10^(8-5) = 2.5*10^3
3.4*10^5
Three coins are flipped. What is P(heads, heads, heads)?
Answer: .125 or 1/8
Step-by-step explanation: *Use a tree diagram*
The probability of 3 times coming head is 1/8.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
Three coins are flipped.
The probability of the coin coming head is;
[tex]\rm P(head)=\dfrac{1}{2}[/tex]
The probability of 3 times coming head is;
[tex]\rm P(heads,\ heads, \ heads)=\dfrac{1}{2} \times \dfrac{1}{2} \times\dfrac{1}{2} \\\\ P(heads,\ heads, \ heads)=\dfrac{1}{8}[/tex]
Hence, the probability of 3 times coming head is 1/8.
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Joan walked 23 1/4 miles in a week. Her sister walked 69 3/4 miles during the same week.
How many times farther did Joan’s sister walk than Joan?
joans sister walked 3 times farther.
5 × ⅔???????????????
5 x 2/3 = 5.333 repeatedly
#9 HEY YOU! HELP! Translate to an equation, then solve. The product of 2, and a number increased by 6, is -24. What is the number?
Don’t get #11and12 please help me
Remember that dividing by a number is the same as multiplying by its reciprocal. To get a number's reciprocal, flip the numerator and denominator around.
In this case, 3/5's reciprocal is 5/3. With this information in mind, flip 3/5 to it's reciprocal, change the division sign to multiplication, then multiply as such:
[tex]\frac{7}{8} \times \frac{5}{3}=\frac{35}{24}[/tex]
Your final answer is 35/24.
12.Now firstly, we want to convert these mixed fractions into improper fractions. To convert them, multiply the whole number by the denominator then add the numerator and that's your new numerator. In this case:
[tex]2\frac{1}{10}=\frac{2*10+1}{10}=\frac{21}{10}\\\\1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}\\\\\frac{21}{10}\div \frac{6}{5}[/tex]
Next, we want to convert this expression to multiplication. Similar to before, convert 6/5 to its reciprocal, change the multiplication sign to division, and multiply as such:
[tex]\frac{21}{10}\times \frac{5}{6}=\frac{105}{60}[/tex]
Now you may think that 105/60 is the right answer, however we can simplify it further. The numerator and the denominator have a GCF, or greatest common factor, of 15. With this, divide the fraction by 15/15 as such:
[tex]\frac{105}{60}\div \frac{15}{15}=\frac{7}{4}[/tex]
Your final answer is 7/4.
Shyam invested money in the stock market. In the first year, his stock increased 20%. He paid his stock broker $300 and then lost $450. He withdrew $500, and then his remaining investment doubled. Shyam’s investment is now worth $7100. How much was Shyam’s original investment?
Answer:
Shyam's original investment was $4000.
Step-by-step explanation:
Suppose, Shyam's original investment was [tex]x[/tex] dollar.
In the first year, his stock increased 20%. So, the value of the stock will be: [tex](x+0.20x)=1.20x[/tex] dollar.
He paid his stock broker $300 and then lost $450. So now, the value of the stock will be: [tex](1.20x-300-450)=(1.20x-750)[/tex] dollar.
He then withdrew $500, so the value of the remaining investment [tex]=(1.20x-750-500)=(1.20x-1250)[/tex] dollar and this remaining investment doubled now.
So, the value of the investment now [tex]=2(1.20x-1250)[/tex] dollar, which is given as $7100.
Thus, the equation will be.......
[tex]2(1.20x-1250)=7100\\ \\ 2.40x-2500=7100\\ \\ 2.40x=7100+2500=9600\\ \\ x=\frac{9600}{2.40}=4000[/tex]
So, Shyam's original investment was $4000.
Mary has 30 books and purchases 2 books per month. What is the variables?
Variables are any letter so in the case of your equation the variables would be f and x.
whats 24 ÷ 3 ×5÷4×7[7÷6]
(24/3(5)/4(7))(7/6)
=245/3 (Decimal: 81.666667)
245/3
decimal 81.666667
can some one help me with one of these 5 problems plzz
I can help with CL 2-107. All you have to do is simplify the equation on both sides, and then isolate w to find its value.
6w - 5 + 8w - 2w - 3 = 9w - 24
(-5) + 12w - 3 = 9w - 24
-8 + 12w = 9w - 24
-8 + 3w = -24
3w = -16
w = [tex]\frac{-16}{3}[/tex]
w = -5.33
Hope that helps! Sorry I couldn't help with the other ones!
Look at the pictures.
CL 2-109
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have
[tex](-5,\ 7)\to x_1=-5,\ y_1=7\\(10,\ 1)\to x_2=10,\ y_2=1[/tex]
Substitute:
[tex]m=\dfrac{1-7}{10-(-5)}=\dfrac{-6}{10+5}=\dfrac{-6}{15}=-\dfrac{2}{5}[/tex]
I am confused on #7, can any smart people out there that understand math help me?
If the selling price is $18 and the markup is 33% what is the dollar markup
There are two good ways to go about this,
You can either do
Regular Price + .33 * Regular Price
or
Regular Price * 1.33
So, i'll do the latter.
18 * 1.33 = 23.94
So, the markup price is $23.94
Answer:
$23.94
Step-by-step explanation:
A migrating bird flies 280 miles in 14 hours.how many miles does it fly in 5 hours?
280mi: 14h Divide to get it over one
20mi : 1 h multiply by five
100mi:5h
Hope it helps!!
a car can travel 300 miles using 15 gallons of gas. what is the unit rate?
is 0.99 greater than or less than 0.1
0.99 > 0.1 Because 0.1,0.2,0.3 ect
.1 written is written as .10
.99 is closer to one
That makes .10 less than .99
For this reason, .99 is greater than .10
Another example you could grasp is .5 .17
.5 is written as .50
.50 is closer to one making it closer to 1 and thus .5 is greater than .17
Due to all of the explanations provided above, .99 is greater than .1
the sum of two consecutive odd integers is 284 . write a equation and solve to find the two integers
Let the consecutive odd numbers be( x) and (x+2).
According to given condition.
(x)+(x+2) =284
solving x+x+2 =284
2x+ 2 =284
subtracting 2 both sides
2x+ 2-2 =284-2
2x =282
dividing 2 both sides
x=141
as the second integer is (x+2) so
x+2 =141+2= 143
so integers are 141 and 143.
Maria needs to make a total of 80 deliveries this week. So far she has completed 48 of them. What percentage of her total deliveries had Maria completed?
Maria has completed 60% of her total deliveries this week. This was calculated by creating a ratio of completed deliveries to total deliveries, converting this ratio to a decimal, and then converting the decimal to a percentage.
Explanation:To find what percentage of deliveries Maria has completed, we start by creating a ratio of completed deliveries (48) to total deliveries (80). This ratio is expressed as a fraction, so we write it as 48/80.
Next, we convert this fraction to a decimal by dividing the numerator (top number) by the denominator (bottom number). So, 48 ÷ 80 = 0.6
To convert the decimal to a percentage, we multiply by 100, so 0.6 x 100 = 60%.
Therefore, Maria has completed 60% of her total deliveries so far.
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To calculate the percentage of total deliveries Maria has completed, divide the number of completed deliveries by the total number of deliveries and multiply by 100. Thus, Maria has completed 60% of her total deliveries.
Explanation:To find out what percentage of total deliveries Maria has completed, we can use the method of finding a percentage of a whole. Essentially, this involves taking the number of completed deliveries, dividing it by total number of deliveries and then multiplying by 100.
In Maria's case, she's completed 48 deliveries out of a total of 80 deliveries. Therefore:
Percentage = (Number of completed deliveries / Total deliveries) x 100
So the percentage of completed deliveries = (48 / 80) x 100 = 60%
Therefore, Maria has completed 60% of her total deliveries.
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