There are 4 ounces of lime juice in 52 ounces of punch, let represent the number of ounces of lime juice in 130 ounces of punch, there are 1690 ounces of the lime juice in 130 ounces of punch.
What do you mean by ounces?A number of distinct units of mass, weight, or volume are derived from the uncia, an ancient Roman unit of measurement, including the ounce, which is almost unmodified.
'Ounce' is also used in the following other contexts:
A unit of the force is the ounce-force (see below).
A unit of the volume is the fluid ounce.
A multitude of distinct ounces measuring mass or volume have been employed historically by various trades at various times and in various countries.
Since,
Ounces of the lime juice=4
Ounces of the punch=52
Ounce needed for 1 punch=52÷4=13
Ounces needed for 130 ounces of the punch=13×130=1690
Therefore, the ounces of the lime juice needed for 130 ounces of punch=1690.
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Help me solve this please
Answer:
56
Step-by-step explanation:
[tex]\binom{8}{3}=\frac{8!}{5!3!}=56[/tex]
The coldest recorded temperature in the United States is
–
80°F, in Alaska. The warmest recorded temperature in the United States is 134°F, in California.
How much higher is the warmest recorded temperature than the coldest recorded temperature?
The warmest recorded temperature than the coldest recorded temperature is 54oF
How to determine the amount of temperature difference?The given parameters are:
Coldest recorded temperature = 80°F, in Alaska
Warmest recorded temperature = 134°F, in California
Next, we calculate the difference between these temperatures
Difference = Warmest recorded temperature - Coldest recorded temperature
Substitute the known values in the above equation
Difference = 134 - 80
Evaluate
Difference = 54
Hence, the amount of temperature difference is 54oF
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Solve the following equation to find the value of x:
9x-4=5x+12
Answer: x=4
Step-by-step explanation:
First find the smallest x which would be 5x and subtract that from the 9x. So now it should be 4x-4=12. Then, move 4 and add that to the twelve which should now be 4x=16. Then, divide it by four and you get x=4.
Answer:
x = 4
Step-by-step explanation:
We start from
9x - 4 = 5x + 12
We move the "5x" to the left side of the "=" sign by changing it's sign from 5x which can be seen as +5x to -5x
9x - 4 - 5x = 12
Now we move the "4" to the right side of the "=" sign by applying the same principle as above, so -4 turns to +4
9x - 5x = 12 + 4
We than solve the subtraction and addition
4x = 16
Then we divide both sides of the equation by 4 and we get
x = 4
Precalculus transformation review
The original function and its expression derived from rigid transformations are defined below:
Original: f(x) = |x|; Image: g(x) = |x - 3| + 2Original: f(x) = |x|; Image: g(x) = |x + 4| - 2Original: f(x) = |x|; Image: g(x) = - |x| - 3Original: f(x) = x²; Image: g(x) = (x - 3)² - 2Original: f(x) = √x; Image: g(x) = √(- x) + 5How to use rigid transformations to modify functions
In this problem we must use rigid transformations to change the definition of a series of functions. Rigid transformations are transformations applied on functions such that its form is not altered. There are the following transformations, which are used in the five cases:
Horizontal translation
g(x) = f(x - k), translation is to the right for k > 0.
Vertical translation
g(x) = f(x) + k, translation is upward for k > 0
Reflection over the x-axis
g(x) = - f(x)
Reflection over the y-axis
g(x) = f(- x)
Now we proceed to present the image of each function after using a sequence of rigid transformations:
f(x) = |x|; g(x) = |x - 3| + 2f(x) = |x|; g(x) = |x + 4| - 2f(x) = |x|; g(x) = - |x| - 3f(x) = x²; g(x) = (x - 3)² - 2f(x) = √x; g(x) = √(- x) + 5To learn more on rigid transformations: https://brainly.com/question/1761538
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Express the polynomial in descending order.
4+ y4 - 9y³
y4 - 9y3 +4
Step-by-step explanation:
solo tienes que ordenarlo de mayor a menor de las variables
subject identification numbers in a certain scientific research project consist of two digits followed by four letters and then two more digits. Assume repetitions are not allowed within any of the three groups, but digits in the first group of two may occur also in the last group of two. How many distinct identification numbers are possible?
The number of ways in which three digits can be written is 720 ways.
The number of ways in which 3 letters can be written is 15600.
How to illustrate the information?From the information, the subject identification numbers in a certain scientific research project consist of two digits followed by four letters and then two more digits.
The ways in which three digits can be written will be:.
= 10P 3
= 10! / (10-3)!
= 10 × 9 × 8
= 720 ways
The number of ways in which 3 letters can be written will be:
= 26P3
= 26! / ( 26 - 3)!
= 26! / 23!
= 26 × 25 × 24
= 15600
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24. Carlos bought a cube-shaped aquarium. Write
an expression to represent the volume of the
aquarium.
3s
Volume of the aquarium is 27 [tex]s^{3}[/tex]
What is volume of cube ?The total number of cubic units that a cube totally fills up is referred to as its volume. An object with six square faces that is three dimensional is called a cube. The amount of space an object takes up in total is known as its volume. Space would be taken up by an object having a larger volume.
Volume of cube formula ?Depending on the inputted inputs, many formulas can be used to determine the volume of any cube. You may figure it out by measuring the diagonal of the cube or its sides.
Given that : Carlos bought a cube shaped aquarium with side 3s
As the aquarium have cube shape so the volume will be
Volume of cube is V =[tex]a^{3}[/tex]
a = 3
V = 27 [tex]s^{3}[/tex]
Hence ,Volume of the aquarium is 27 [tex]s^{3}[/tex]
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Help please!!!!!!!!!!!!
An estimate of the quotient is in improper fraction [tex]\frac{133}{60}[/tex]. An estimate of the quotient is in mixed fraction [tex]2 \frac{13}{60}$$[/tex]
[tex]6 \frac{1}{3} \div 2 \frac{6}{7}$$[/tex]
Convert mixed numbers to improper fractions: [tex]$\quad 6 \frac{1}{3}=\frac{19}{3}$[/tex]
[tex]=\frac{19}{3} \div 2 \frac{6}{7}$$[/tex]
Convert mixed numbers to improper fractions: [tex]$2 \frac{6}{7}=\frac{20}{7}[/tex]
[tex]$=\frac{19}{3} \div \frac{20}{7}$[/tex]
Apply the fraction rule: [tex]$\frac{a}{b} \div \frac{c}{d}=\frac{a}{b} \times \frac{d}{c}$[/tex]
[tex]=\frac{19}{3} \times \frac{7}{20}$$[/tex]
Multiply fractions: [tex]$\frac{a}{b} \times \frac{c}{d}=\frac{a \times c}{b \times d}$[/tex]
[tex]=\frac{19 \times 7}{3 \times 20}$$[/tex]
Multiply fractions:[tex]\frac{a}{b} \times \frac{c}{d}=\frac{a \times c}{b \times d}$[/tex]
[tex]=\frac{19 \times 7}{3 \times 20}$$[/tex]
Multiply the numbers: [tex]$19 \times 7=133$[/tex]
[tex]=\frac{133}{3 \times 20}$$[/tex]
Multiply the numbers: [tex]$3 \times 20=60$[/tex]
[tex]=\frac{133}{60}$$[/tex]
Convert improper fractions to mixed numbers: [tex]$\frac{133}{60}=2 \frac{13}{60}$[/tex]
[tex]=2 \frac{13}{60}$$[/tex]
When it comes to adding Mixed or Improper fractions, we can have either the same denominators for both the fractions to be added or the denominators can differ too.
A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
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Qube learning
Summative Test - Formulae N/L1..
REVISION AVAILABLE
V
2019 FS L1 Word Formulae Summative
Ella wants to put a wire fence around her property. What is the length of the fence she would need to buy to cover her property?
Find the intervals of increase for the polynomial. Rounded to the nearest 10th
From the graph we can conclude:
The function is increasing for the following interval:
[tex]x\in\mleft\lbrace(-\infty,0\mright)\cup(2,\infty)\}[/tex]Answer:
(-∞,0), (2,∞)
Select the number line that plots these numbers.5, -2, 1, –4
Find the number line that dotted only the numbers 5,- 2, 1, -4, which is clearly the last option.
Use what you know about domain to select all of the following functions that could be the one graphed.
Using transformations, more specifically a translation, the functions that could represent the one graphed are given as follows:
y = sqrt(x) - 3.y = sqrt(x) - 1.Why is the transformation in this problem a translation?We first consider the parent square root function, defined as follows:
y = sqrt(x).
It's domain, that is, the possible values that the input x can assume, is given as follows:
x ≥ 0.
The graphed function has the same domain as the parent square root function, just with a different range, as it was shifted down, assuming the following format:
y = sqrt(x) - a.
In a translation, the function keeps the same format and orientation, just changing it's position, which is what happened in this case.
The possible translations are:
1 unit down, hence a = 1 and y = sqrt(x) - 1.3 units down, hence a = 3 and y = sqrt(x) - 3.The other functions would change the domain of the function, hence they are not possible.
What is the missing information?The information to solve this problem is given by the image at the end of the answer.
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Please Help this is due in 4 minutes!!!!!
Will give Brainiest
Please help I’ll mark you as brainliest if correct!!
The value of the variable 'A' which is a consecutive digit in the card is: 6
What is consecutive digits?
In mathematics, the consecutive digits are those digits whose difference between the two terms are constant. And the pattern of the terms should be continuous. It is used for the calculation based problems.
According to the question, the given data states that the 14 digits of a credit card has sum of the three consecutive digits is 18.
Therefore, at the end the blank box between 8 and 4 can be written as:
8 + m + 4 = 18 ⇒ m = 18 - 12 = 6 ⇒ m =6
Now, the pattern for the last three digits be: 864.
The pattern is repeating and the whole IN number is 64864864864864.
Hence, the value of the variable 'A' which is a consecutive digit in the card is: 6
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Solve for x. Enter the solutions from least to greatest.
x²+x-42=0
lesser x =
greater x =
A textbook store sold a combined total of 283 math and sociology books in a week. The number of sociology textbooks sold was 89 less than the number of math textbooks sold. How many textbooks of each type were sold
AP. The product of two whole numbers is 96 and their sum is less than 30. List all of the possibilities for the
two numbers.
Answer:
12 and 8; 16 and 6; 24 and 4
Step-by-step explanation:
4. Identify all possible proper subset relationships that occur among the following sets.
Show work please.
The proper subset relationship of the given set A, B and C are in option;
Option A; C ⊂ AOption C: C ⊂ BOption D: B ⊂ AWhat is meant by the term proper subset?A subset is a subset of a larger set (someother set or same set). A B is the set notation used to symbolize a set A as a subset of a larger set B.A proper subset would be any subset of a set that is not the set itself. Every set, we know, is a subset of itself, but it is not a proper subset of it's own.The correct subset symbol is ⊂ . In other words, if A is a proper subset of B, after which:A ⊂ B andA ≠ BFor the given question;
The set are given as;
A = { x | x = 2n + 1, n ∈ R }
This, can be written as for the real number say, n = 0, 1, 2, 3....
A = {1, 5, 7, 9 , 11 ..}
B = { x | x = 4n + 1, n ∈ R }
This, can be written as for the real number say, n = 0, 1, 2, 3....
B = {1, 5, 9, ....}
C = { x | x = 8n + 1, n ∈ R }
This, can be written as for the real number say, n = 0, 1, 2, 3....
C = {1, 9, 17...}
Thus, it is clear from the above relation that,
C contain B and A while B contain some element of A.
Thus, C ⊂ A, C ⊂ B and B ⊂ A are the correct relationship of the proper subset.
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Guests staying at Marada Inn were asked to rate the quality of their accommodations
as being excellent (E), above average (AA), average (A), below average (BA), or poor
(P). The ratings provided by a sample of 20 guests are shown below. Give the
frequencies, in order, for the frequency distribution shown.
Α ΒΑ ΑΑ E E
AA P ΒΑ ΑΑ Α
A P A BA A A E A PA
If guests staying at Marada Inn were asked to rate the quality of their accommodations as being excellent (E), above average (AA), average (A), below average (BA), or poor (P). The frequency is : 1, 8, 6, 3, 2.
FrequencyAnalysis
E = E =1
AA= AA +AA + AA + AA + AA+ AA + AA +AA = 8
A= A + A+ A+ A+ A+ A = 6
BA = BA + BA + BA =3
P = P + P =2
Hence,
Class frequency
E 1
AA 8
A 6
BA 3
P 2
Total 20
Therefore 1, 8, 6, 3, 2 is the frequency .
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A jet travels 1324 miles against a jetstream in 2 hours and 1584 miles with the jetstream in the same amount of time. what is the rate of the jet in still air and what is the rate of the jetstream rate of the jet in still air ___mi/hrate of the jetstream___ mi/h
In still air, the rate of the jet is Distance traveled/ time taken
[tex]\frac{1324}{2}=662\text{ mi/h}[/tex]With the jetstream, the rate of jetstream is
[tex]\frac{1584}{2}=792\text{ mi/h}[/tex]How do I solve this?
Answer:
????
Step-by-step explanation:
4x4 + 2x
Pleaseeeeee helpppp
Answer:
2x (2x³ + 1)
Step-by-step explanation:
To get the answer factor 2x^1 / 2x of ( 4x^4 + 2x )
When you factor an expression, you are looking for a number which can perfectly divide into another number.
Remember that the numerical timetable states that (2 x 2 = 4).
And we already know that (2 divided by 4 = 2), as well as, that any rational number divided by itself is equal to 1
Therefore the value 2x is divisible by itself and is also divisible by 4x^4 exactly two times
Note: the reason why (4x^4 ÷ 2x ) becomes (2x³), is that you have to subtract the exponents of each term from each other after you finish dividing. So ( X^4 - X^1 = X^3) -
Always remember that any term in a polynomial expression which doesn't have a visible power attached to it is already at the first power
Find the equation of a line that has a slope of m=1/5 and passes through the point (0, 9). Express your answer in slope-intercept form. Enter your answer in the box.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{ \cfrac{1}{5}}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=\cfrac{1}{5}x+9 \end{array}}[/tex]
Find the sum of 8.6 x10 ^6and 3.7x 10^5
Answer:
8.97 x 10^6
Step-by-step explanation:
To add in scientific notation, the exponents need to be the same for the bases of 10. You can either make them both to the exponent of 6 or 5. It does not matter. I made them both to the power of 5
(8.6 x10^6 ) + (3.7 x10^5 )
(86 x 10^5) + (3.7x10^5)
(86 x 3.7) x 10^5
89.7 x 10^5 Rewrite in scientific notation
8.97 x 10^6
what is perpendicular to the line y= -1/4 x+3
Answer: B
Step-by-step explanation: i got it because i
X =
(5x - 7)
(8x-55)
Answer:
The triangle shown is an isosceles triangle. It has two equal sides and the base angels are equal.
5x - 7 = 8x - 55
3x = 48
x = 16
Solve For X the picture of the problem will be provided
Answer:
x = 37
Step-by-step explanation:
∡CAE = 180°
Then:
∡ABC = 180° - (10+8X)
∡ABC = 180 - 10 -8X
∡ABC = 170 -8X
The sum of the internal angles of a triangle results im 180°:
70 + (6x+14) + (170-8x) = 180
70 + 14 + 170 + 6x - 8x = 180
254 - 2x = 180
254 - 180 = 2x
74 = 2x
x = 74/2
x = 37
1) 65x12-92+13 =
2) 4/2+19-5x11 =
1.
[tex] = (65 \times 12) - 92 + 13 \\ =780 - 92 + 13 \\ = (780 - 92) + 13 \\ = 688 + 13 \\ = 701 [/tex]
2.
[tex] = \frac{4}{2} + 19 -(5 \times 11) \\ = (2 + 19 )- 55 \\ = 21 - 55 \\ = - 34[/tex]
ATTACHED ARE THE SOLUTIONS
How to find the percent of a number
Explanation:
y% of some value, x:
Convert y to a decimal by dividing y by 100.
Then multiply that decimal value to x.
Please help me I have had help with the 3 one but I can not reproduce it. Thank you to who helps me.
Note that:
[tex]\int f(x) \text{ } dx=-e^{-x/5}+C[/tex]
Part (b)
[tex]\int^{1}_{0} f(x) \text{ } dx =-e^{-1/5}+e^{0} \approx 0.1813[/tex]
Part (c)
[tex]\int^{\infty}_{0} f(x) \text{ } dx =1.0000[/tex]
Part (e)
[tex]\int^{6}_{1} f(x) \text{ } dx \approx 0.5175[/tex]