The pharmacist must add [tex]36 cm^3[/tex] of pure alcohol to the [tex]10 cm^3[/tex] of 8% alcohol solution to obtain an 80% alcohol solution.
What is alcohol ?Alcohol, also known as ethanol is a clear, colorless liquid that is produced by the fermentation of sugars and carbohydrates by yeasts.
Let's start by writing down the equation that relates the amount of alcohol in the original 8% solution to the amount of alcohol in the final 80% solution:
[tex]0.08 x 10 cm^3[/tex] [tex]+ x = 0.80 x (10 cm^3 + x)[/tex]
Here, x represents the amount of pure alcohol that we need to add to the [tex]10 cm^3[/tex] of 8% solution to obtain the desired 80% solution.
The left-hand side of the equation represents the amount of alcohol in the original solution (which is 8% alcohol), while the right-hand side represents the amount of alcohol in the final solution (which is 80% alcohol).
Now we can solve for x:
[tex]0.08 x 10 cm^3 + x = 0.80 x (10 cm^3 + x)[/tex]
[tex]0.8 cm^3 + x = 8 cm^3 + 0.8x[/tex]
[tex]0.2x = 7.2 cm^3[/tex]
[tex]x = 36 cm^3[/tex]
Therefore, the pharmacist must add [tex]36 cm^3[/tex] of pure alcohol to the [tex]10 cm^3[/tex] of 8% alcohol solution to obtain an 80% alcohol solution.
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Answer: The pharmacist must need 36 cubic centimeters of pure alcohol to 10 cm^3 of a 8% alcohol solution
Identify the terms in the expression 10xy+2+3
Grade#8
10xy 2 3
terms are seperated by a +or - therefore anything before and after +or- is a term
Answer:
10xy, 2, 3
Step-by-step explanation:
no too hard, terms are separated by +, -,
help me I dont know how to do this
Answer:
yo tampoco uebeizbsibdi id uke iveibs id. dije I did one o. so d lvaon
what's this? please help!
Answer:
7cm
Step-by-step explanation:
Take the 13cm-6cm= The missing piece.
what is 12 divided by 3/4?
correct answer gets brainliest!
Step-by-step explanation:
To divide by a fraction, we can invert the fraction and multiply.
So, 12 divided by 3/4 can be written as:
12 * 4/3
Simplifying this expression, we get:
= 48/3
= 16
Therefore, 12 divided by 3/4 is equal to 16.
12 divided by 1/3 is 1
9 divided by 1/4 is 2.25
1/8 divided by 4 is 0.5
12 divided by 1/3 is 4
A laptop has a listed price of 691.99 before tax. If the sales tax rate is 7.25, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
The total cost of the laptop with sales tax included is to the nearest cents is 747.24 dollars.
Step-by-step explanation:
At a store, the price of a box of chocolates is $12.50. During a sale, the price of the chocolates is $11. Find the percent (%) of discount during the sale.
The frequency table here shows a student's quiz scores. One data value in the table is missing. If the mean of the data set is 10, what is the score for the missing data item?
A. 10
B. 15
C. 5
D. 20
What is the name of this shape?
Answer:
seems like 2 sides parallel therefore it's trapezium
use 9 to factor out 45+18
Answer: 9(5+2)
Step-by-step explanation:
45/9=5
18/9=2
Answer:
9(5+2)
Step-by-step explanation:
9(5)=45
9(2)=18
Therefore, the answer is 9(5+2)
please help me own this
u spe lled on wong but da bottom line wrong tho
please help me math sucks
Answer:
A=Owen brought no more than 15 apples.
B=Owen brought more than 10 bananas
C=Owen brought fewer than 5 cantaloupes
Step-by-step explanation:
A<15 This means that A is Less or equal to 15
=
b>10 means b is bigger than 10
c<5 means c is smaller than 5
that's the answer to the question
A homeowner compared his electric bills from the last four months. In January, his bill was up $30; in February it was up another $6; in March, his bill was down $25; and in April, it was down $16. Which month showed the greatest change in his bill?
March
February
January
April
PLEASE HELP BRO PLEASE
What is the value of m in the equation?
m+3/4=12?
_____-__
Answer:
To solve for the value of m in the equation:
m + 3/4 = 12
We need to isolate the variable m on one side of the equation. We can do this by subtracting 3/4 from both sides of the equation:
m + 3/4 - 3/4 = 12 - 3/4
Simplifying the left side of the equation by canceling out the 3/4 terms:
m = 12 - 3/4
To combine the two terms on the right side of the equation, we need to find a common denominator. Multiplying 12 by 4/4 gives us:
m = (48/4) - 3/4
Combining the terms on the right side of the equation:
m = 45/4
Therefore, the value of m in the equation is 45/4.
Answer:
m= 45/4
Step-by-step explanation:
please help math sucks
Answer:
Last option: {-5, -1, 2, 11}
Step-by-step explanation:
Required inequality is x > -6
That means every item in the set of values indicated should be > - 6
We should eliminate answers with - 6 since -6 is not greater than -6 it is ≥ -6
That leaves 2 and 4
When comparing negative numbers, a negative number which has absolute value greater than the absolute value of another number will always be less than the other number
For example, -11 has absolute value 11
- 6 has absolute value 6
11 > 6
So - 11 < -6
All the values in option 2 are therefore < - 6
Therefore last option is the correct one
-5 > -6, -1 > -6 and positive numbers are always greater than negative numbers
will give 50 points answer all
∩ Ф ³ Ф ∩ ⇒ answer s in image i attached .
in other word s . . .
1 ⇒ ∫ length = 9 ft .
2 ⇒ ∫ length = 15 ft .
3 ⇒ ∫ width = 5 ft .
4 ⇒ ∫ width = 0.1 ft .
If a perimetre of a rectangle is 38 cm and length is 12.5 cm What is the Area?
Answer:
81.25 cm^2
Step-by-step explanation:
perimeter = 2(l + w)
2(12.5 + w) = 38
12.5 + w = 38/2
w = 19 - 12.5
w = 6.5
Area = lw = 12.5 x 6.5 = 81.25
Answer:
81.25 cm²
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
To solve for the perimeter of a rectangle, the expression is:
(Let p = perimeter, l = length, w = width)
(l × 2) + (w × 2) = pTo solve for the width of a rectangle when given the perimeter, we can use this expression:
(p - [l × 2]) ÷ 2 = wInserting 38 in for 'p' and 12.5 for 'l':
(38 - [12.5 × 2]) ÷ 2 = 6.5To check our work, we can use the expression to solve for the perimeter:
(6.5 × 2) + (12.5 × 2) = 38Because the perimeter matches up with 38, we know the width of the rectangle is 6.5cm.
To solve for the area of a rectangle, we use this expression:
(Let a = area)
l × w = aInserting 12.5 in for 'l' and 6.5 in for 'w':
12.5 × 6.5 = 81.25Therefore, the area of the rectangle is 81.25 cm².
Help me please
Find the value of x
Answer:
x = 18 !
Step-by-step explanation:
We can see that ∠CHD is equal to ∠GHF as they are vertically opposite angles. We can also see that the angles next to ∠CHD should all add up to 90° as it is a right angle!
This means that we have to add 32 and 32 then minus that from 90...
32 + 32 = 6490 - 64 = 26As the angle is the same we are now left with...
x + 8 = 26We just have to solve this by taking away 8 from both sides!
x + 8 - 8 = x26 - 8 = 18x = 18Hope this helps, have a lovely day! :)
Answer:
The answer is 18°, but please read the explanation so you can solve this problem in the future.
Step-by-step explanation:
To find the angle of x, we have to look at the angles in the first quadrant (in which the lines C and D are) first. To begin, a right angle is 90°. We see that there are two angles of 32° within the right angle (90°). Let's find the sum of 32 and 32.
32 + 32 = 64
Now, we can subtract 64° from 90° to find the angle of CD.
90 - 64 = 26
The angle between C and D is 26°.
If we look below at lines G and F, we can see that they are directly across from lines C and D, so they have the same angles. The arrow pointing to the angle of GF, which we know is 26°, says that x + 8° = 26°. To find x, let's subtract 8 from 26.
26 - 8 = 18
x = 18°
Keani needs to buy an $84 graphing calculator for her college math class. Keani’s neighbor offers her a babysitting job that pays $12 per hour. What is the minimum number of hours Keani will need to babysit to pay for her new calculator?
Would you write an inequality or an equation?
Answer:
7 hours
Step-by-step explanation:
84÷12=7 That's basically about it lol
Help Please I don't know what to do.
Answer:
1. Divide the larger scientific notation by the smaller scientific notation - divide coefficients and subtract exponents
2. Subtract by getting the same exponent to be like terms
3. Multiply by changing the number to scientific notation - multiply coefficients and add exponents
Step-by-step explanation:
Rhiannon went to the store and bought two sweatshirts. She spent $72. What was the price of each sweatshirt?
Would you write an inequality or an equation?
To solve this problem, we can use the equation:
2x = 72
Where x represents the price of one sweatshirt. We multiply by 2 because Rhiannon bought two sweatshirts.
Simplifying the equation we get:
x = 36
Therefore, each sweatshirt costs $36.
We used an equation to solve this problem.
Subtract the given expressions.
a. (2x²+3y²+8)-(-4x²-5y²-8)
b. (9a²+18ab)-(4a²-12ab)
Grade 8
Answer:
As in the picture
Step-by-step explanation:
Have some close look on subtraction inside the small bracket!
Is 15 3/5 equal to 10 1/2? is it under or over?
help please xx
Answer:
Over
Step-by-step explanation:
Arielle wants to survey soccer players to determine whether they would prefer to wear short-sleeved or long-sleeved jerseys. Arielle decides to go to a soccer game and survey every fourth person in the bleachers.
Is this sample likely to be representative of soccer players? Explain your reasoning.
Answer:
No.
Step-by-step explanation:
She isn't asking the survey to the players just the audience.
PLEASE HELP THIS IS URGENT
Find the value of x.
Answer: 3
Step-by-step explanation:
PLEASE HELP EASY will give brainliest only if its right. Thanks <3
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Translate the bars
3x - 4 = 6 - 2x
Add 4 to both sides
3x = 10 - 2x
Add 2x to both sides
5x = 10
Divide both sides by 5
X = 2
If the ratio of yellow to green is 5:6 drops per container, how many containers will be made if there were 121 drops used? What would the new equivalent ratio be?
Answer
Step-by-step explanation:
(PLEASE HELP!!!!!!!!)
Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.
Answer:
the absolute value of -$25 is [25]
Step-by-step explanation:
no matter if the number is negative or positive the absolute value will be what the number is or how many numbers away from 0 it is
Example: absolute value of 30 is [30] and absolute value of -50 is [50]
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Moussa sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
27 visitors purchased no costume.
112 visitors purchased exactly one costume.
3 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a percent to the nearest whole number.
Step-by-step explanation
The probability that the next person will purchase more than one costume is 0.03How to solve for the probabilityWe have the following details to solve the problem withThe people that did not purchase any costume = 103Those that purchased exactly one costume = 161Those that purchased more than one costume = 7The total number of persons that we have here would be 103 + 161 + 7= 271We are to find the probability that the next would purchase more than 1 costume.This is given as:7 / 271 = 0.0258To the nearest hundredth = 0.03Hence, 0.03 is the probability that the next person is going to buy more than one costume.
Answer:
115/142 or 80.99%
Step-by-step explanation:
total people who visited the website --> 27+112+3 = 142
total people who bought one or more costume(s) --> 112+3 = 115
So, 115/142 or 80.99%
Hope this helped
30 points to whoever gets this right <3 ( answer asap pleasee )
if m∠RXU = 62∘ , then what is m∠TXS
Answer:
Side a = 5Side b = 13Side c = 10.10327Angle ∠A = 0.35751 rad = 20.48361° = 20°29'1"Angle ∠B = 1.99869 rad = 114.51643° = 114°30'59"Angle ∠C = 0.7854 rad = 45° = 45°0'0"
Step-by-step explanation:
I am not sure.
What's the surface area of this figure?
Answer:
488 centimeters2
Step-by-step explanation:
Surface Area = 2×(14×6 + 14×8 + 6×8) = 488 centimeters2