Let a be the amount of 40% solution and b be the amount of pure alcohol that you will use.
You want to end up with a volume of 660 mL, so
a + b = 660
For each mL of solution used, the 40% solution would contribute 0.4 mL of alcohol, and the pure alcohol will contribute 1 mL of alcohol. In the desired solution, you want a concentration of 80% alcohol, so that it contains 0.8 • 660 mL = 528 mL of alcohol, and
0.4a + b = 528
Solve the system of equations above. Subtracting the second from the first eliminates b and lets us solve for a :
(a + b) - (0.4a + b) = 660 - 528
0.6a = 132
a = 220
Then
220 + b = 660
b = 440
So you will need 220 mL of the 40% solution and 440 mL of pure alcohol.
pls help me!!! i can’t get it right
Answer:
24√3 square units
Step-by-step explanation:
The side length of a regular hexagon is 2/√3 times the length of the apothem. For an apothem of 2√3, the side length is ...
s = (2/√3)(2√3) = 4
The perimeter P of the hexagon is 6 times the side length, so is 6×4 = 24.
The area is given by ...
A = 1/2Pa
where P is the perimeter and 'a' is the apothem.
A = 1/2(24)(2√3) = 24√3
The area of the hexagon is 24√3 square units.
_____
A hexagon can be divided into 6 congruent equilateral triangles. The apothem will be the altitude of one of those, so will divide the triangle into two triangles with angles 30°, 60°, and 90°. The ratios of the side lengths of such a triangle is something you might want to remember: 1 : √3 : 2. The altitude corresponds to the "√3" side, and the side length of the equilateral triangle corresponds to the "2" side. That is, we have the proportion ...
apothem : hexagon side = √3 : 2
Multiplying by 2 gives the actual values in the hexagon of this problem:
apothem : hexagon side = 2√3 : 4
Find the value of x.
(14x – 13)
(8x + 5)
Answer:
x = 3 (I think)
Step-by-step explanation:
14x - 13 = 8x + 5 (I'm assuming the two expressions are equal)
6x - 13 = 5
6x = 18
x = 3
The simplified value of x from the equation is x = 3
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 equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
( 14x - 13 ) = ( 8x + 5 )
Subtracting 8x on both sides , we get
( 14x - 8x ) - 13 = 5
6x - 13 = 5
Adding 13 on both sides , we get
6x = 18
Divide by 6 on both sides , we get
x = 18/6
x = 3
Hence , the equation is solved and x = 3
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Pleas help I give brainliest ! Jejsjsjsjssjsjs
0.05
[tex]0.05 \div 0.416[/tex]
help me solve
A store is having a sale to promote a new product. Every item in the store is 1/6 off the regular price. If an item is on sale for $74, what was the regular price? Show your work.
1/6 off means the regular price for that item should be: $88.8
Work:
The sale = $74 ÷ 5 × 1 = $14.8
=> The regular price = $14.8 x 6 = $88.8
Select two ratios that are equivalent to 27: 9.
Answer:
3:1 and 9:3
Step-by-step explanation:
27 divided by 9 is 3
27 divided by 3 is 9
9 divided by 3 is 3
A group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket
Answer:
each ticket is $8.75
Step-by-step explanation:
c=8$8.75
The equation that can be used to determine the cost of each movie ticket is C = $48.50 / 6.
What is the equation that can be used to determine the cost of each movie ticket?Total cost of the 6 movie tickets = (6 x cost of each ticket) - value of one coupon
50.50 = 6C - $2
Combine similar terms
$50.50 - $2 = 6C
$48.50 = 6C
Divide both sides of the equawtion by 6
C = $48.50 / 6
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The graph of y = x4 - 2x2 + 1 is shown.
Answer:
the answer is89 why 838+3838+3838×908=72
What is 4 + 8m < 2 (2m
4)
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhhhhhhhuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
Can someone help me plzzz algebra isn’t my strong suit
Answer:
1. 21+5f = 61
2. 18+5n=50.50
3. 40+30s=220
Step-by-step explanation:
1. SUM of 21 and 5 TIMES a number f is 61
From that sentence, sum means addition and times is multiplication, so:
21+5f = 61
2. Let's identify the given:
Monthly fee: 18
Cost of each call: 5
Variable that symbolizes the call: n
Total cost this month: 50.50
Thus, 18+5n=50.50
3. Identify the given:
Charge of tutor: 40
Charge of tutor every student: 30
Variable representing the number of students: s
Total charge: 220
Thus, 40+30s=220
Find the perimeter of the figure
Answer:
Answer=2[tex]x^{2}[/tex]+9x+2
Step-by-step explanation:
to find the perimeter of any shape you add all the lengths of it so,
(-[tex]x^{2}[/tex]+4x)+(3[tex]x^{2}[/tex]+5)+(5x-3)
(you add all same terms together)
=(-[tex]x^{2}[/tex]+3[tex]x^{2}[/tex])+(4x+5x)+(5+(-3))
=2[tex]x^{2}[/tex]+9x+2
help anyone please??
Answer:
I believe 3 ways based on what I see in the picture.
PLZ HELP FAST GIVING 50 points and brainliest
Answer:-0.253624
Step-by-step explanation:
Answer:
0.253624
Step-by-step explanation:
11.
What must the slope of a line be if it is parallel to the line
12x + 8y = -6?
A) –
B)
C) 1
D) -12
3
WIN
2
o
A
O
B
С
o o
D
Answer:
A) -3/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Write equation
12x + 8y = -6
Step 2: Write in slope-intercept form
Subtract 12x on both sides: 8y = -12x - 6Divide both sides by 8: y = -3/2x - 3/4Step 3: Find slope
Slope of a parallel line always has the same slope of the original line.
m = -3/2 (Original)
m = -3/2 (Parallel)
Beverly wants to make 2 1/2 recipes of play clay for her daughter’s birthday party. How much salt will she need in all?
Answer: D
Step-by-step explanation:
To find the answer for this problem, you will need to convert all the terms into improper fractions. Since you want 2 1/2 of the recipe, you need to multiply by 2 1/2.
2 1/2 = 5/2
3 2/3 = 11/3
And then you would multiply and solve:
5/2 * 11/3 = 55/6
55/6 = 9 1/6
The answer is D :)
Answer:
There are 3 2/3 teaspoons of salt
Step-by-step explanation:
You have acummulated $85,000 in student loans that average 5% interest
Answer: The student will have to pay $900 per month including intrest and a portion of principal
What is 1/20 written as a percent
0.5%
5%
10%
20%
Answer:
the answer is 5 percent
Answer: 5%
Step-by-step explanation:
1/20 = 5/100
5/100 = 5%
What is the slope of the line that passes through the points (10,11) and (-6,3)?
Answer: m = ½
.............................
(-2+8i)(3-10i)
Step by Step
The line that passes through the points (3,0) and (-5,8) is
A.)Decreasing
B.)Increasing
C.)Horizontal
D.)Vertical
Solve the algebraic equation
11 = 3 - 7x
Answer:
-8/7 =x
Step-by-step explanation:
11 = 3 - 7x
Subtract 3 from each side
11-3 = 3-7x-3
8 = -7x
Divide each side by -7
8/-7 = -7x/-7
-8/7 =x
Answer:
x= -8/7
Step-by-step explanation:
1. subtract 3 from both sides
2. divide both sides by 7 to isolate x
3. multiply both sides by -1 so x can become positive
Help please I’m stuck on a few of these
Answer:
27
Step-by-step explanation:
Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.
Hope this helps!
INVERSE FUNCTIONS
If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.
BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.
$24 lunch;15% tip.
I NEED HELP
Answer:
3.60
Step-by-step explanation:
The amount of tip will be $3.6.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the restaurant bill for lunch is $24 and the tip given to the waiter is 15% of the total amount.
The total amount will be calculated as:-
Amount of tip = 24 x 15%
Amount of tip = 24 x 0.15
Amount of tip = $3.6
Hence, the tip amount will be $3.6
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What is the range of possible values for x?
The diagram is not to scale.
Answer:
I think the answer is B :)
Step-by-step explanation:
The solution is Option B.
The value of x is given from the inequality equation 0 < x < 27
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
From the parallelogram , AB ≈ BC
So , The ( ∠ CBD ) > ( ∠ ABD )
Substituting the values in the equation , we get
( 2x ) < 54°
Divide by 2 on both sides of the equation , we get
x < 54/2
x < 27°
And , ∠ ABD cannot be negative or zero ,
So , 2x < 0
Divide by 2 on both sides of the equation , we get
x < 0
Hence , the inequality equation is 0 < x < 27
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Convert into linear equations
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The slack variables make up the difference between the sum of the utilizations and the limit. A separate slack variable is needed for each limit. As with the other variables, its minimum value is zero.
For ( ) ≤ lim constraints, the slack variables are on the left side of the equal sign:
( ) +s ≤ lim.
__
For ( ) ≥ lim constraints, the slack variables can be on the right side of the equal sign:
( ) = s + lim
The more usual representation in a linear programming matrix is ...
( ) - s = lim
__
Here, your constraints are "≤", so each equation will have a unique slack variable added to the left side sum.
Please help me! I’ll name you brainiest!!!
Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
GIVING OUT BRAINLIEST TO FIRST CORRECT ANSWER✅
Answer:
Option 3
Step-by-step explanation:
f inverse =
[tex] \frac{3x - 15}{4} [/tex]
A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
x
y
0
0
15
3
30
6
Assuming there is a proportional relationship, which additional set of values could be included in the table?
Answer:
100,70 is the answer I took the test
Answer:
The answer is A ppl
Step-by-step explanation:
which two layers in this model represent parts of the earth that are mostly iron and nickel
Answer:
inner and outer core are the ones that have iron and nickel
Step-by-step explanation:
The answer is inner and outer core
8 is greater than or equal to x, and 3 is less than or equal to x
Answer:
x = (3,4,5,6,7,8)
Step-by-step explanation:
3 <= x <= 8