She should mix 72 ounces of water with the lemon juice.
What is percentage ?Percentage is the value per hundredth.
According to the given question.
Laronda wants to make fresh lemonade. The recipe she finds online recommends that the fresh lemon juice should be 20% of the total volume and water is of 80% then.
Given she has 18 ounces of lemon juice which is 20% of the total lemonade.
Assuming total ounces of lemonade is x.
∴ (20/100) of x = 18.
(20/100) × x = 18.
(2/10)x = 18
2x = 180.
x = 90.
So, total ounces of lemonade is 90 in which 18 ounces is lemon juice.
∴ Water is (90 - 18) ounces which is
= 72 ounces.
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Please solve 4x = 24
Answer:
x is equal to six
Step-by-step explanation:
4 × 6 = 24
Answer: There is only one step to this equation. We will use inverse operations to isolate the x by dividing 4 on both sides. (4 is being multiplied by x, and the opposite of multiplication is division.)
4x/4 = x
24/4 = 6
The equation now looks like:
x = 6
x is equal to 6, so this is your answer.
What is the linear distance traveled in one revolution of a 36-in diameter wheel.
The linear distance traveled in one revolution of a wheel can be calculated using the formula:
Circumference = π * Diameter
Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:
Circumference = π * 36 inches
Using an approximate value of π as 3.14159, we can calculate the circumference:
Circumference ≈ 3.14159 * 36 inches
Circumference ≈ 113.09724 inches
Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.
what is w/6+ 5/8= -1 3/8
Answer:
-15/2 exact form
-7.5 decimal form
-7 1/2 mixed number form
Step-by-step explanation:
Answer:
-13.5
Step-by-step explanation:
w / 6 + 5/8 = -13/8
w / 6 = -13/8 - 5/8
w / 6 = -18/8
w = -18*6/8
w = -13.5
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6. Is the
relationship between x and y proportional?
Yes, because 3 is proportional to 6.
Yes, because 3 is proportional to 3 + 6.
It cannot be determined. At least one other point on the line is needed
to determine if x is proportional to y.
A
B
C
D It cannot be determined. At least two other points on the line are needed
to determine if x is proportional to y.
It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y
Given data ,
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6
Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.
As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required
Hence , the equation of line is solved
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factorise m²-14m+49
Answer:
(m-7\()^{2}\)
Step-by-step explanation:
D_5) Ming won 121 lollipops playing basketball at her school's game night. Later, she gave four to each of her friends. She only has 9 remaining. How many friends does she have?I need help solving it.
The total number of lollipos that she won is 121.
Let x represent the number of friends that she has.
We were told that she gave 4 to each of her friends. It means that the total number that she gave to her friends is 4x. If she has 9 remaining, it means that
4x + 9 = 121
4x = 121 - 9
4x = 112
x = 112/4
x = 28
She has 28 friends
“What is the minimum value of the function: x^2+24x-18? Show your work.”
Answer:
-162
Step-by-step explanation:
x²+24x-18=x²+24x+12²-12²-18=(x+12)²-162
(x+12)²≥0
(x+12)²-162≥-162
⇒ the minimum value of the function is -162
PLEASE HELP!!! IVE BEEN STUCK ON THIS FOR HOURS ..
Answer:
y = 15
Step-by-step explanation:
It is given that y = kx (Note the green colored text).
Plug in the corresponding numbers to the corresponding variables:
x = 5 ; k = 3 ; y
y = kx
y = (3)(5)
Simplify by multiplying 3 with 5:
y = 3 * 5
y = 15.
15 is your answer for y:
~
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(2a+1) - 4a(2a+1)+4a
Answer:
2a (3-4a)
Step-by-step explanation:
(2a+1)-4a(2a+1)+4a
2a+1-8a²-1+4a
= 2a+4a-8a²
=6a-8a²
= 2a(3-4a)
Answer:
Step-by-step explanation:
Use distributive property: a*(b+c) = (a*b) + (a*c)
-4a*(2a + 1) = -4a*2a + 1*(-4a)
= -8a² - 4a
2a + 1 - 4a(2a + 1) + 4a = 2a + 1 - 8a² - 4a + 4a
= 2a + 1 - 8a²
A pond is in the shape f a semi-circle. The diameter of the pond is 11 feet. What is the perimeter of the pond?
\( \boxed{ \red{ \mathfrak{Perimeter \: of \: semi - circle =\pi r + 2r }}}\)
We are given; π = 22/7 r = 11 feet\( \pink \longmapsto \purple { \mathfrak { Perimeter= \frac{22}{7}\times11 +22 }}\)
\( \pink \longmapsto \purple { \mathfrak { Perimeter= \frac{242}{7}+22 }}\)
\( \pink \longmapsto \purple { \mathfrak { Perimeter= \frac{396}{7}}}\)
\( \pink \longmapsto \purple { \mathfrak { Perimeter= 56.5 \: cm}}\)
In how many different ways can a true false test consisting of 9 questions be answered? sol) ni = 2, n2 = 2, n3 = 2, n4 = 2,n5 = 2, n6 = 2, n7 = 2, ng = 2, ng = 2 By theorem 2.1, nin2n3n4n5n6ning ng = (2)(2)(2)(2)(2)(2)(2)(2)(2) = 29 = 512 possible ways.
A true/false test with 9 questions can be answered in 512 different ways.
The number of ways a true/false question can be answered is 2 (either true or false). By the theorem of counting, the number of ways to answer a series of independent events (such as a series of true/false questions) is equal to the product of the number of ways each event can occur.
In this case, the number of ways to answer 9 independent true/false questions is 2 raised to the power of 9, or 2⁹ = 512. This means that there are 512 possible combinations of answers for a 9-question true/false test.
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The quotient of x and -23 is 27
Answer:
x = - 621
Step-by-step explanation:
quotient is the result of dividing , so
\(\frac{x}{-23}\) = 27 ( multiply both sides by - 23 to clear the fraction )
x = - 23 × 27 = - 621
Step-by-step explanation:
that means
x ÷ -23 =27
x = 27×-23
x = -621
Please please help please please ASAP I willl kisssss your azzz if you help me please please help please please ASAP please please help please
Answer: 3x-x+2=4
Step-by-step explanation:
12/X=3/6 CROSS MULTIPLY.
3X=12*6
3X=72 X=72/3 X= 24 FEET TALL.
How many cubic feet will it take to fill the prism below
Answer:20
Step-by-step explanation:
someone help me i’m like blanking ,hard on what to do☹️
Answer:
x=13 y=54
Step-by-step explanation:
9x-7=7x+19
2x=26
x=13
180-(9*13 -7)=y+16
180- 110 = y+16
70=y+16
54=y
Answer:
x = 13, y = 54
Step-by-step explanation:
( 9x - 7 ) and ( 7x + 19 ) are vertically opposite angles. Vertically opposite angles are equal since line m and n are parallel.
9x - 7 = 7x + 19
9x - 7x = 19 + 7
2x = 26
x = 26 / 2
x = 13
7x + 19
= ( 7 ) ( 13 ) + 19
= 91 + 19
= 110
( 7x + 19 ) and ( y + 16 ) are linear pair angles. Sum of linear pair angles is 180,
y + 16 + 7x + 110 = 180
y + 16 + 110 = 180
y + 126 = 180
y = 180 - 126
y = 54
The first time Jane went to the fitness center she exercised for 20mins. She adds 10 mins to her exercise program every other day after that. how many days will it take Jane to build her exercise program every other day after that. how may days will it take Jane to build her exercise program up to an hour in length?
Answer:
9 days
Step-by-step explanation:
Day 1 20 min
Day 2 20 min
Day 3 30 min
Day 4 30min
Day 5 40 min
Day 6 40 min
Day 7 50 min
Day 8 50 min
Day 9 60 min
Calculations for the Determination of Ammonium Chloride The data from the data entry portion of the report has been copied into this section of the report for your convenience. Use the data to make the necessary calculations. [1] Mass of evaporating dish #1: 36.190 g [2] Mass of evaporating dish and original sample (g) : 37.020 g (2pts) Mass of original sample (g) [3) Mass of evaporating dish after subliming NH
4
( g) : 36.550 g (2pts) Mass of NH
4
Cl(g) (2pts) Percent of NH
4
Cl (\%) (4pts) B. Calculations for the Determination of Sodium Chloride [4] Mass of evaporating dish #2: 41.63 g [5] Mass of watch glass (g) : 47.84 g [6] Mass of evaporating dish #2, watch glass, and NaCl(g) : 89.510 g (2pts) Mass of NaCl(g) (2pts) Percent of NaCl(%)
[1] Mass of evaporating dish #1: 36.190 g
[2] Mass of evaporating dish and original sample: 37.020 g
To calculate the mass of the original sample, we subtract the mass of the evaporating dish from the total mass:
Mass of original sample = Mass of evaporating dish and original sample - Mass of evaporating dish
Mass of original sample = 37.020 g - 36.190 g
Mass of original sample = 0.830 g
[3] Mass of evaporating dish after subliming NH4Cl(g): 36.550 g
To calculate the mass of NH4Cl(g), we subtract the final mass of the evaporating dish from the initial mass:
Mass of NH4Cl(g) = Mass of evaporating dish - Mass of evaporating dish after subliming NH4Cl(g)
Mass of NH4Cl(g) = 36.190 g - 36.550 g
Mass of NH4Cl(g) = -0.360 g (Note: The negative value indicates an error in measurement or calculation. Please double-check the data provided.)
To calculate the percent of NH4Cl (%), we use the formula:
Percent of NH4Cl = (Mass of NH4Cl(g) / Mass of original sample) * 100
Percent of NH4Cl = (-0.360 g / 0.830 g) * 100
Percent of NH4Cl = -43.37% (Note: The negative value also suggests an error. Please review the data carefully.)
Moving on to the determination of Sodium Chloride:
[4] Mass of evaporating dish #2: 41.63 g
[5] Mass of watch glass: 47.84 g
[6] Mass of evaporating dish #2, watch glass, and NaCl(g): 89.510 g
To calculate the mass of NaCl(g), we subtract the sum of the masses of the evaporating dish #2 and the watch glass from the total mass:
Mass of NaCl(g) = Mass of evaporating dish #2, watch glass, and NaCl(g) - (Mass of evaporating dish #2 + Mass of watch glass)
Mass of NaCl(g) = 89.510 g - (41.63 g + 47.84 g)
Mass of NaCl(g) = 89.510 g - 89.47 g
Mass of NaCl(g) = 0.040 g
To calculate the percent of NaCl (%), we use the formula:
Percent of NaCl = (Mass of NaCl(g) / Mass of original sample) * 100
Percent of NaCl = (0.040 g / 0.830 g) * 100
Percent of NaCl = 4.82%
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voter preferences: a pollster wants to sample 500 votes in a town to ask them who they plan to vote for in an upcoming election. describe a sampling method that would be appropriate in this situation. explain your reasoning.
A simple random sample of 500 voters would be an appropriate method for a pollster to use in this situation.
In this method, each voter in the town is assigned a unique identifier and a list of all unique identifiers is created. Then, using a random number generator or a random number table, 500 unique identifiers are selected and those individuals are surveyed.
Random Voter Poll MethodThis method ensures that each voter in the town has an equal chance of being selected, so that the sample is representative of the population of voters. It also eliminates any potential biases that may be introduced if the pollster were to select individuals based on certain criteria (such as age, gender, or location).
By using a random sample, the pollster can have a good estimate of the true population parameter (voter preferences) with a high degree of confidence.
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b = (1,4).
a=(-3,-5)
The length of vector (a + b) is solved using the parallelogram method to be 9.9
How to solve with the parallelogram methodThe formula for the resultant using the parallelogram method is
(a + b) = √(a² + b² + 2ab cos Ф)
Plotting the vectors shows that
a = 5.8
b = 4.1
Ф = 163 degrees
plugging in the values
(a + b) = √(5.8² + 4.1² - 2 * 5.8 * 4.1 * cos 163)
(a + b) = √(50.45 - 47.56 * cos 163)
(a + b) = √(98.01)
(a + b) = 9.9
The magnitude of (a + b) = 9.9
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write an equation showing that reggie received 30 points.
write an equations showing that reggie answered all 35 questions on the test
Answer: 19 questions wrong, 16 questions right
Step-by-step explanation:
27. Two friends see each other in a grocery store. Initially, they are 50 m apart. The first friend starts walking toward the second friend at a constant speed of 0.50 m/s. At the same instant, the second friend accelerates uniformly from rest at a rate of 1.0 m/s
2
toward the first friend. How long before the two friends can shake hands?
The time before the two friends can shake hands can be determined by finding the time it takes for the second friend to cover the initial distance of 50 m while accelerating uniformly.
Using the equation of motion s = ut + (1/2)at^2, where s is the distance, u is the initial velocity, a is the acceleration, and t is the time, we can solve for t.
For the first friend, who is walking at a constant speed of 0.50 m/s, the distance covered is given by s1 = u1t, where u1 = 0.50 m/s.
For the second friend, who is accelerating uniformly from rest, the distance covered is given by s2 = (1/2)at^2, where a = 1.0 m/s^2.
Since they will meet when their distances covered sum up to the initial distance of 50 m, we can set up the equation: s1 + s2 = 50 m.
Substituting the expressions for s1 and s2, we get (0.50t) + (1/2)(1.0t^2) = 50.
Simplifying and rearranging the equation, we have 0.50t + 0.50t^2 = 50.
Solving this quadratic equation will give us the time it takes for the two friends to shake hands.
Now, let's explain the process in more detail. The first friend is walking at a constant speed of 0.50 m/s, so the distance covered by the first friend is given by the product of the speed and time, s1 = 0.50t.
The second friend starts from rest and accelerates uniformly at a rate of 1.0 m/s^2. We can use the equation of motion s2 = (1/2)at^2, where s2 is the distance covered by the second friend.
To find the time it takes for the second friend to cover the distance, we set up the equation s1 + s2 = 50, as the sum of the distances covered by both friends should equal the initial distance of 50 meters.
Substituting the expressions for s1 and s2, we get 0.50t + (1/2)(1.0t^2) = 50.
This equation is quadratic in nature, and solving it will give us the time it takes for the two friends to shake hands.
By solving the equation, we find the value of t to be approximately 10.77 seconds. Therefore, the two friends can shake hands after approximately 10.77 seconds.
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Find the complex conjugate of the given number.
-4 + 8i
Answer:
-4 - 8i
Step-by-step explanation:
The complex conjugate of -4 + 8i=-4 - 8i
Describe and correct the error in finding the difference of the polynomials
(4x2 – x+3) – (3x2 - 5x - 6) = 4x2 – x+3 – 3x2 – 5x – 6
= 4x2 – 3x2 - x = 5x +3 - 6
=x² - 6x-3
Answer:
4x+11 is the answer.
Step-by-step explanation:
( 4*2-x+3)-(3*2-5x-6)
=(8-x+3)-(6-5x-6)
=(11-x)-(0-5x)
=(11-x)-(-5x)
=11-x+5x
=11+4x
= 4x+11
I need help with geometry
Answer:
segment EF
Step-by-step explanation:
the longest side in a triangle is opposite the largest angle
EF is opposite the angle measuring 85°, which is the largest angle measure in this diagram
What type of polynomial is: 3x^4 - 2x^3 - 2
This polynomial has only 3 terms, so it is a trinomial. Hope it helps!
What is the simplest form of the product 3 sqrt 4x^2.
We can use the radical rules to simplify the product 3(4x2). To start, we simplify 4 to its square root, which equals 2. Next, we employ the power property of radicals, which asserts that (a,m) = (a(m/2)), to simplify the cube root (x2) by using it. In this instance, (x2) = x.
We now get 3 * 2 * x, which simplifies to 6x when the simpler terms are combined.The result is that the product 3(4x2) has the simplest form (6x).We can dissect the constituent parts and use the radical-simulation principles to simplify the product 3(4x2).In the beginning, we may reduce the square root of 4 to 2: 3(2x2).Then, since it contains a square (2) and a cube root (), we can reduce them as follows:
3 * 2 * x^(²/³)Taking the square root before the cube root is shown by the exponent 2/3. We may calculate the exponent by reducing it to: 3 * 2 * x(2/3)The terms are then combined when we multiply the coefficients: 6 * x(2/3)As a result, 6x(2/3) is the product of 3(4x2) in its simplest form.
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See Picture below. Thanks
Answer:
The angle of DGC is 90 degrees
the value of x is positive 8
Step-by-step explanation:
xoxo brooke
Explain why: x2 + 4 >= 4x for all real x.
Answer:
x² + 4 > 4x
x² - 4x + 4 > 0
(x - 2)² > 0 (true for all real x)
Please I need help with this math problem I would appreciate it a lot!
Answer:
4x^2 -3 + 1/x
Where ;
p(x) =( 4x^2 -3) and k = 1
Step-by-step explanation:
Here, we want to divide the given polynomial
To get this, we can use the method of long division
P(x) will be the quotient of the division, while k will be the remainder of the division
We can see the long division used in as seen in the attachment
So, we have the result as;
4x^2 -3 + 1/x
Where ;
p(x) = 4x^2 -3 and k = 1
How many solutions does the equation
-1/2(-8x+14) = 3x +9+x have?
The no: of solutions that the equation -1/2(-8x+14) = 3x +9+x has is 1
What is an example of an equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What are the 3 types of equations?There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.
The no: of solutions that the equation is -1/2(-8x+14) = 3x +9+x is 1
as the equation is 1 degree polynomial.
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