The number of bottles of mustard they went through is given by the equation A = 1/6 of the bottle
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 number of bottles of mustard be represented as A
Now , the equation will be
The amount of ketchup used by Camille's Snack Shack = ( 1/4 ) of the bottle
Now , the amount of bottle of mustard used = ( 2/3 ) of the bottle of ketchup
Substituting the values in the equation , we get
The number of bottles of mustard used A = ( 2/3 ) of ( 1/4 ) of the bottle
On simplifying the equation , we get
The number of bottles of mustard used A = ( 2/3 ) x ( 1/4 )
The number of bottles of mustard used A = ( 1/6 ) of the bottle
Therefore , the value of A is 1/6
Hence , the number of bottles is 1/6
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If a car goes 280 miles in 4 hours, how far could it go in 6 hours and 30 minutes
Answer:
455 miles in 6 hours and 30 minutes
Step-by-step explanation:
280 = 4 hour(s)
140 = 2 hour(s)
70 = 1 hour(s)
35 = 30 minutes
280+140+35 = 455
(Hope this helps! Please leave questions about this is in the comments) :D
Find the exact value of tan A in simplest radical form.
You need to use 4/5 cups of strawberries for a single pie how many cups are needed for 2 pies i know the answer is 13/5 but how do you work that out
Answer:
8
Step-by-step explanation:
If you deposit $8,000 into an account paying 6% simple interest, how long until there is $13,000 in the account? Round to the nearest
tenth
• The balance of the account will be $13,000, in
years.
After 10 years the balance of the account will be $13000.
What is simple interest?
A simple interest is one that does not compound anyway. In this system, a creditor only pay interest on the initial amount and the rate of interest is not changed during the time period.
How many years needed to reach the required amount?
given, initial deposit money = initial principal amount = $8000
initial money is denoted by P
interest rate (annually), r = 6%
generally, simple interest is annual.
expected amount after t years = final amount = $13000
final amount is denoted by A.
t is the time in years.
According to the formula for simple interest, A = P (1 + rt)
$13000 = $8000(1 + 6/100×t)
$13000/ $8000 = (1 + 0.06t)
(1 + 0.06t) = 1.625
0.06t = 0.625
t = 10.417 years or t = 10 years
Therefore, after 10 years the balance of the account will be $13000.
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It ha been etimated that about 15% of frozen chicken contain enough almonella bacteria to caue illne if improperly cooked. Suppoe that a upermarket buy 1000 frozen chicken from a upplier. Find an approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated
approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated is (271.02, 328.98) = (271, 329)
Suppose number of trials, n = 1000
And number of defective chickens is within 1 standard deviation of the mean :
Mean = np ; p = 0.3
Mean = 1000 * 0.3 = 300
Standard deviation (s) : sqrt(np(1-p))
s = sqrt(1000 * 0.3 * 0.7)
s = sqrt(210)
s = 14.49
2 standard deviations of the mean: and interval
Mean ± 2s
Lower bound : 300 - 2(14.49) = 271.02
Upper bound : 300 + 2(14.49) = 328.98
(271.02, 328.98) = (271, 329)
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At Central Middle School the 108 students who take the AMC 8 meet in theevening to talk about problems and eat an average of two cookies apiece.Walter and Gretel are baking Bonnie's Best Bar Cookies this year. Their recipe,1 which makes a pan of 15 cookies, lists this items: 1- cups of flour, 2 eggs, 323 tablespoons butter, cups sugar, and 1 package of chocolate drops. They will 4 make only full recipes, not partial recipes.Walter can buy eggs by the half-dozen. How many half-dozens should he buy to make enough cookies? (Some eggs and some cookies may be left over.)(A) 1(B) 2(C) 5(D) 7 (E) 15
5 half-dozens he should buy to make enough cookies.
What is an average?
Average, mean, median, and norm all refer to something that sits in the middle. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. scored 85 on tests on average. The term "mean" can refer to the simple average or a figure that lies halfway between two extremes.
Here, we have
If 108 students eat 2 cookies on average, there will need to be 108× 2 = 216 cookies.
There are 15 cookies per pan, meaning there need to be {216}/{15} = 14.4 pans.
However, since half-recipes are forbidden, we need to round up and make{216}/{15} = 15 pans.
1 pan requires 2 eggs, so 15 pans require 2×15 = 30 eggs.
Since there are 6 eggs in a half dozen,
we need 30/6 = 5 half-dozens of eggs.
Hence, 5 half-dozens he should buy to make enough cookies.
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If a temperature at 9pm i one third the temperature at midnight then what i the anwer ?
-4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.
What is temperature ?The physical concept of temperature indicates in numerical form how hot or cold something is.
A thermometer is used to determine temperature.
Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances.
The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).
The lowest point on the thermodynamic temperature scale is absolute zero, or zero kelvin, or 273.15 °C. It can be very closely approximated experimentally but never actually reached, as stated in the third rule of thermodynamics.
Hence, -4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.
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Suppose you and a friend decided to produce counterfeit 100 Trillion notes to try and make money selling them on Ebay. Because of the new influx of $100 trillion notes, the Ebay price decreases from USD$200 to just USD$50, over 4 weeks.This corresponds to a monthly inflation rate of 400%, since 4 notes are worth what 1 note was a month before.
Assuming this devaluation continues at the same rate, how much will the notes be worth in a years time? What is that yearly inflation rate?
The valuation of the notes in a years is given as follows:
y = 200(0.00000006)^a.
The yearly inflation rate is of:
1,666,666,667%
How to model the situation?The valuation changed by a percentage in a period of time, hence an exponential function is used to model the situation.
An exponential function is defined as follows:
y = a(b)^x.
For which the parameters are given as follows:
a is the initial value.b is the rate of change.The initial valuation is of $200, hence the parameter a is given as follows:
a = 200.
Thus the function should be modeled as follows:
[tex]y = 200(b)^a[/tex]
In which a is the time in years.
In one month, the amount decayed to $50. One month is 1/12 of a year, as one year is composed by 12 months, hence the parameter b is obtained as follows:
[tex]50 = 200(b)^{\frac{1}{12}}[/tex]
[tex](b)^{\frac{1}{12}} = \frac{50}{200}[/tex]
[tex](b)^{\frac{1}{12}} = \frac{1}{4}[/tex]
Elevating both sides to 12, we have that:
b = (0.25)^12
b = 0.00000006.
Hence the function is:
y = 200(0.00000006)^a.
The inflation rate is given as follows:
1/0.00000006 x 100% = 1,666,666,667%
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Katie plans to paint four toy chests that have the given net. She will buy 10-oz cans of paint that cover 933 square inches each
Two cans of paint are needed to cover the toy chest of 1866 in²
Area:
The area is the amount of space occupied by a two-dimensional object or figure. Area (A) of the rectangle is:
A = length * breadth.
Area of A = 13 * 16 = 208 in²
Area of B = 13 * 25 = 325 in²
Area of C = 25 * 16 = 400 in²
Area of D = 13 * 25 = 325 in²
Area of E = 13 * 16 = 208 in²
Area of F = 25 * 16 = 400 in²
1) Combined Area = 208 + 208 = 416 in²
2) Combined Area = 325 + 325 = 650 in²
3) Combined Area = 400 + 400 = 800 in²
4) Combined Area = 416 + 650 + 800 = 1866 in²
5) Amount of paint = 1866 in² / 933 in² = 2
Therefore, Two cans of paint are needed to cover the toy chest of 1866 in²
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Please help me with my HW
Answer: 4k^7
Step-by-step explanation:
360 multiplied by 420
the answer is 151200
Errol collected some figures that he calls sukies. Which figure is a sukie?
Its non of the above. Though I did have a question like that, if there is a choice below the square, that has the following properties, that must be the answer:
7 sides
1 right angel
______________________________________________________
But if you are talking about it being 1 of the 2, its non of the 2 that is in the picture. The option below square must be the answer if I am right according to what I had.
Hope it helps ! The things that I told you about the figure is the only way I can tell you. Sorry, but have a great day and good luck.
Divide 70 by 9 and write the answer as a: mixed number and as a decimal number with a bar over the repetend.
Please help if you can!Thanks!
Answer:
Step-by-step explanation:
7 7/9 Is the first one
And 7.7 with the second 7 repeating
Joe painted 3/4 of a bedroom in 1/2 of a day. How many days will it take for Joe to paint one bedroom?
Answer:
3/4
Step-by-step explanation:
Answer:
2/3 of a day
Step-by-step explanation:
3/4 : 1/2 = 1 : X
X=2/3
help plsssss ill give brainly
Answer:
7x + 20 or 20 + 7x
Step-by-step explanation:
2(5 + 3x) + (x + 10)
=> Multiply the parenthatic values in the first parenthesis by 2
(10 + 6x) + (x + 10)
=> Now add similar values
20 + 7x
Hope this helps!
Please help
What is the slope of a line that passes through (2, -5) and (6, -2)?
-4/3
-3/4
3/4
4/3
Answer:
3/4
Step-by-step explanation:
Going from the first point to the second, we see the x-coordinate (the 'run') increasing by 4 and the y-coordinate increasing by 3. Thus, the slope of the line going through these two points is
m = rise / run = 3/4
2/3(6x-1/6) + 3x simplify the expression
Answer:
[tex]21x \: - \frac{1}{3} \\ 3[/tex]
For each situation, make a tree diagram to show the sample space. Then give the total number of outcomes.
choosing a silver, black, or red CD player and choosing a rock, country, or rap CD
a. 3
c. 9
b. 6
d. 12
Answer:
C. 9
Step-by-step explanation:
3 color choices of CD player x 3 choices of music = 9
Find the value of x.
Answer:
x = 32
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
All the indicated angles in the diagram are exterior angles of the polygon.
sum the 5 exterior angles and equate to 360
2x + 71 + 85 + 44 + 3x = 360
5x + 200 = 360 ( subtract 200 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
plz help ...........................................
Evaluate the infinite geometric series $0.79 0.079 0.0079 0.00079 0.000079 \dotsb$. Express your answer as a fraction with integer numerator and denominator.
Sum of the infinite geometric series = 79/9
A geometric series, or the first few terms of a geometric sequence, are the sum of an infinite number of terms with a constant ratio between them in mathematics.
Given Geometric sequences,
0.79, 0.079, 0.0079, 0.00079, 0.000079
so, the geometric series is:
0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 +........
The first term of given geometric series is 0.79
The second term of given series is 0.079
Therefore, the common ration is= 0.079/0.79 = 1/10
The Sum of infinite geometric series is given by, S= a/(1-r)
a here denotes the first term of the series
r denotes the common ration
so,
S = 0.79/{1-(1/10)}
or, S = 0.79/(9/10)
0r, S = 0.79 * (10/9)
0r, S = 79/9
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John's monthly income is $3000. The table below shows the different categories in John's monthly budget and the amount he spends in each category.
Answer:
John spends less than 1/4 of his income on utilities, cable, internet and cell phone bills.
Mark me brainliest and thanksss :)))
Find m angle Bm∠Bm, angle, B.
Note that m angle Bm∠Bm, angle, B is acute. Round to the nearest degree
The measure of angle B where angle B is an acute angle by using the Law Of Sines is 61° .
What is an Acute Angle ?
The Acute Angle can be defined as an angles that measure less than 90° , the acute angle is smaller than Right Angle and also smaller than the Linear Angle ( measuring 180° ).
From the figure ,
we can see that the measure of the sides are given as a = 9 , b = 8 and
the measure of angle A is 79° .
By Applying the Law Of Sines ;
we get ,
[tex]\frac{SinA}{a} =\frac{SinB}{b}[/tex]
Substituting the values in the above equation ,
we get ;
[tex]\frac{Sin79\textdegree}{9} =\frac{SinB}{8}[/tex]
Simplifying further ,
we get ;
[tex]SinB = \frac{Sin79\textdegree}{9} \times 8[/tex]
substituting the value of Sin79° as 0.9816 ;
we get ;
[tex]SinB = \frac{0.9816}{9} \times 8[/tex]
[tex]SinB=0.8725[/tex]
So , B ≈ 61° .
Therefore , the measure of angle B is 61° .
The given question is incomplete , the complete question is
Find the measure of Angle B in the given figure .
Note that the angle B is acute . Round to the nearest degree .
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Use the given sample data to find each of the listed values.In your answer, include both numerical answers and an explanation, in complete sentences, for the steps necessary to find the data values. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
62 52 52 52 64 69 69 76 54 58 61 67 73
a. Range _____
b. Q1 _____
c. Q3 _____
d. IQR _____
Answer:
The range is 24
The Q1 is 53
The Q3 is 69
The IQR is 16
Step-by-step explanation:
Answer:
can you put that in a paragraph
Step-by-step explanation:
Explain, step by step , how you solve the system of equations: y=3x - 3,y= x-3. Then provide the solution to the system.
Answer:
(0, -3)
Step-by-step explanation:
y = 3x - 3
y = x - 3
In the solution to the system of equations, y is the same number for both of those functions. So 3x - 3 = x - 3.
Then solve for x:
3x - 3 = x - 3
Add 3 to both sides
3x = x
Subtract x from both sides
2x = 0
Divide both sides by 2
x = 0
Now that you have x, substitute it in one of the equations:
y = 3x - 3
y = 3(0) - 3
y = -3
x is 0 and y is -3, so the solution to the equation is (0, -3)
Answer:
x = 0
Step-by-step explanation:
y=3x-3
y=x-3
They both equal why so you can take away the y and put them equal to each other.
3x-3=x-3
Subtract x from both sides
2x-3=-3
Add 3 to both sides
2x=0
divide 2 from both sides
x=0
The answer is 0. Hope this helps you :)
i need help plsss help meee
Corresponding angle pairs - (1,5) , (2,6) , (3,7) and (4,8)
Please if anyone can provide the answer I will manifest tranquility for eternity upon you, I have the brain capacity of an infant
Answer:
the ?=4
Step-by-step explanation:
i got it on desmos basically the vertex is 4 high so you would need to add 4 to get it up there
plssss helpp brainliest will b givenn
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
A movie collection has 6 mystery, 10 comedy, 4 adventure, 9 drama, and 12 science fiction discs. How many 5-disc combinations can be made from the collection? (Hint: Divide the total combinations by 5. )
There are 749398 5-disc combinations that can be made from the collection.
Combination refers to the number of ways that a certain number of items can be selected from a larger set of items without regard to the order of the items. It is different from permutation, which takes into account the order of the items.
The number of combinations can be calculated using the formula:
nCr = n! / (r! x (n - r)!)
Where n is the total number of items in the collection, and r is the number of items in each combination
Since a movie collection has 6 mystery, 10 comedy, 4 adventure, 9 drama, and 12 science fiction discs, then the total number of discs in the collection is 41.
Plug in the values to the formula for combination.
nCr = n! / (r! x (n - r)!)
41C5 = 41! / (5! x (41 - 5)!)
41C5 = 41! / (5! x 36!)
41C5 = 749398
Therefore, there are 749398 5-disc combinations that can be made from the collection.
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Which expressions are equivalent to 8.5x + 0.5 + 3.5x -2x, A) 12x-2x, B) 10x + 0.5, C) 12-2x, D) 9x + 3.5 - 2x, E) 12x - 2x + 0.5
The given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to
10x + 0.5.
What are equations?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".
Given is the expression as follows -
8.5x + 0.5 + 3.5x - 2x
The given expression is -
8.5x + 0.5 + 3.5x - 2x
(8.5x + 3.5x - 2x) + 0.5
12x - 2x + 0.5
10x + 0.5
Therefore, the given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to
10x + 0.5.
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