Erika has 6.53 kilograms of apples, which is more than the 6 kilograms she needed for the recipe. Therefore, she has enough apples to make the recipe.
To determine if Erika has at least 6 kilograms of apples, we need to add the weight of all three bags of apples. The total weight of the apples is:
2.56 kg + 1.18 kg + 2.79 kg = 6.53 kg
Erika needs a certain amount of apples for a recipe, specifically 6 kilograms. She goes to the store and picks three different bags of apples - a 2.56-kilogram bag of red apples, a 1.18-kilogram bag of green apples, and a 2.79-kilogram bag of yellow apples. To determine if she has enough apples, she needs to add the weight of all three bags. The total weight of the apples comes out to be 6.53 kilograms. This means that Erika has more than the required 6 kilograms of apples and is sufficient to make the recipe. It's important to note that Erika has an excess of apples, which can be helpful in case she needs extra for the recipe or for future use. The combination of different types of apples can also add variety and flavor to the recipe.
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Tonya saved $564 in one year. If she saved the same amount each month, how much did Tonya save in two months?
On solving the provided question, we can say thatthe equations will be each moth will be 564/x = 564/12 = $47 and 2 moths will be = 47x = 47*2 = $94
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
Tonya saved $564 in one year.
the equations will be
each moth will be 564/x
= 564/12 = $47
2 moths will be = 47x = 47*2 = $94
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participants in a study on the effects of viagra are assigned to groups. one group receives a sugar pill (a zero dose of viagra) while the other group receives viagra. the number of erections over 30 days is recorded by participants in a journal. in this example, what is the independent variable?
Participants in a study on the effects of viagra are assigned to groups, the independent variable is The viagra.
In an algebraic equation, an independent variable is a variable whose values are not impacted by changes. It is claimed that the value of y is a function of the value of the independent variable (x), also known as the x value, and the value of y is known as the dependent variable, in an algebraic equation with two variables (x and y), if any value of x is related to any other value of y.
The alphabetic letter that conveys a numerical value or a number is known as a variable in mathematics. In algebraic equations, a variable is used to represent an unknowable quantity.
For these variables, any alphabet from a to z may be used. Most frequently, the variables "a," "b," "c," "x," "y," and "z" are utilised in equations.
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kari is buying aa batters and d batteries. the store sells aa batteries in packs of 6 and d batteries in packs of 10. if kari wishes to buy the same number of aa and d batteries, what is the smallest number of each battery type that she can buy
Kari can buy 30 AA batteries and 30 D batteries. We used simple LCM for this solution.
To find the smallest number of each battery type that Kari can buy, we must find the least common multiple (LCM) of 6 and 10. The LCM is the smallest multiple that both numbers can divide into evenly. To find the LCM, we can list the multiples of each number until we find a common multiple. In this case, the LCM of 6 and 10 is 30. So, Kari can buy 30 AA batteries and 30 D batteries, which gives her an equal number of both battery types.
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HELPPP PLEASE ILL MARK BRAINLIEST RNN!!!
Answer: the answer is 0=0
Step-by-step explanation:
5-12=-7
x-7=x-7 x-7+7=x-7+7
x=x x-x=x-x
0=x-x
0=0
Find total surface area of the cylinder whose radius is 3m and height is 6m...
List the sample space of a fair, 7-sided number cube rolled while playing a board game.
S = {7}
S= {1,7}
S = {1, 2, 3 ,4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
The sample space of a fair, 7-sided number cube rolled while playing a board game is,
S = {1, 2, 3, 4, 5, 6, 7}
The correct option is C.
What is sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of potential experiment results. Depending on the experiment, a sample area could contain a variety of results.
Given:
7-sided number cube rolled while playing a board game.
The sample space is the collection of all the numbers.
So, the sample space is,
S = {1, 2, 3, 4, 5, 6, 7}
Hence, S = {1, 2, 3, 4, 5, 6, 7}.
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write the following expression without negative exponents and without parentheses (-9x)^-2
The value of the expression is 1/(9x)^2
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
(-9x)^-2
We can write the expression without negative exponents by using a fraction with a positive exponent:
(-9x)^-2 = 1/(-9x)^2
And without parentheses, this expression becomes:
1/(9x)^2
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Please help
its Frequency Distribution table
The answer is:
A frequency distribution for a collection of data is shown in the accompanying table.
The intervals or ranges of the data are displayed in the left column of the table, and the frequency or number of observations within each interval is displayed in the right column.
For instance, the first row demonstrates that 4 observations fall within the range of 10 to 19 while the second row demonstrates that 5 observations fall within the range of 20 to 29.
We only combine the frequencies to determine the total number of observations:
Total observations equal 25 (4 + 5 + 8 + 7 + 1 = 25)
By averaging the bottom and upper interval bounds, we can also determine each interval's midpoint. As an illustration, the first interval's midway (10-19) is as follows:
Midpoint: (14.5) (10 + 19) / 2
This may be done for each interval, and to display the midpoints, we can add a third column to the table.
The cumulative frequency, which is the overall frequency as we progress from the shortest interval to the longest interval, can then be calculated. The cumulative frequency can be displayed in the table by using a fourth column.
The finished table is shown here:
Interval Frequency Midpoint Cumulative Frequency
10-19 4 14.5 4
20-29 5 24.5 9
30-39 8 34.5 17
40-49 7 44.5 24
50-59 1 54.5 25
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Translate The difference between a number squared and 14 is 50
Answer:
[tex]x^{2} - 14 = 50[/tex]
Step-by-step explanation:
Let x = Unknown number
Number squared = [tex]x^{2}[/tex]
Difference between the number squared and 14 is 50:
= [tex]x^{2} - 14 = 50[/tex]
= [tex]x^{2} = 14 + 50[/tex]
= [tex]x^{2} = 64[/tex]
(NOTE: It cannot be [tex]14 - x^{2} = 50[/tex] since:
[tex]x^{2} = 14 - 50[/tex] which would mean [tex]x^{2} = -36[/tex] and a square of a number CANNOT be a negative number)
Taking the square root of both sides to get rid of the square:
= [tex]x = \sqrt{64}[/tex]
= x = ±8
A and B are two similar 2D shapes. The area of shape A is 200cm^2. Calculate the area of shape B.
The area of shape B is 312.5 cm²
Let us assume that the area of the shape B is m square units.
Here, the dimensions of shape A is 12 cm and the area of the shape A is 200 cm²
The dimensions of shape B is 15 cm and the area of the shape B is m cm²
Since A and B are two similar 2D shapes their dimensions must be in proportion.
So, we get an equation,
⇒ A² / B² = 200 / m
⇒ 12² / 15² = 200 / m
⇒ 144 / 225 = 200 / m
⇒ m = (225/144) × 200
⇒ m = 312.5 cm²
Therefore, the area of shape B is 312.5 cm²
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The complete question is:
A and B are two similar 2D shapes. The area of shape A which is 12cm is 200cm squared. Calculate the area of shape B which is 15cm.
data set containing 36 sequential data points is divided into 9 quantiles. what is the maximum number of data points that falls below the second quantile?
the maximum number of data points that fall below the second quantile is 4.
4 data points.
Quantiles divide a set of data into four equal parts, each with an equal number of data points. In this case, 36 data points are divided into 9 quantiles, meaning each quantile contains 4 data points. Therefore, the maximum number of data points that fall below the second quantile is 4.
Quantiles divide a set of data into equal parts, each with an equal number of data points. The number of quantiles is determined by the total number of data points. For example, if there are 36 data points, then it is divided into 9 quantiles, each with 4 data points. The lower the quantile, the lower the value of the data points it contains. Therefore, the maximum number of data points that fall below the second quantile is 4.
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What are three ratios that are equivalent to 8:14
Answer:
4:7, 16:28, 32:56, 64:112
Step-by-step explanation:
You can go down 1, and you can also keep doubling. I hope this helped, I hope you get it right! Have a Good Day!
The table below shows the different combinations of honey and oats that can be used in making granola.
Which honey to oats ratio does not follow the pattern in the table?
5:2
10:4
15:7
20:8
Can same one teach me how to multiply 3-digit by 2-digit numbers
please and thank you
Step-by-step explanation:
put the 3-digit on top and 2-digit on bottom
multiply last # on the 2-digit by by the 3digit then add a 0 placeholder then reapeat
RO
ROCK
each
Shirts on sale at concert!
uppose David has $65 to spend on his ticket and some shirts. He already
Dent $32.25 on his ticket and fee. Write an inequality that could be used
o find the maximum number of shirts he can buy.
hat is the maximum number of shirts he can buy?
He can buy a maximum of 2 shirts.
Answer: Let x be the number of shirts that David buys.
The cost of the shirts can be represented by the equation: $15x.
The total amount of money that David has spent can be represented by the equation: $32.25 + $15x.
Since David has a total of $65 to spend, we can write the inequality:
$32.25 + $15x ≤ $65
Solving for x, we get:
$15x ≤ $65 - $32.25 = $32.75
$15x ≤ $32.75
$x ≤ $32.75 / $15 = 2.183333
Since David can only buy a whole number of shirts, the maximum number of shirts that he can buy is 2.
So, the maximum number of shirts David can buy is 2.
Step-by-step explanation:
Two friend shop for fresh fruit Elena buys a watermelon for 7.55 and 4 pounds of cherries Tonya buys a pineapple for $2.25 And 3 pounds of Cherries used the variable p to represent the price in dollars per pound of cherries 
Elena spent an amount of $4.10 + p more than Taniy.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Let's represent the amount spent by Elena and Taniy as E and T, respectively. We know that:
E = 8.25 + 4p (since Elena bought a watermelon for $8.25 and 4 pounds of cherries for 4p)
T = 4.15 + 3p (since Taniy bought a pineapple for $4.15 and 3 pounds of cherries for 3p)
The expression to represent how much more Elena spent can be represented as:
E - T = (8.25 + 4p) - (4.15 + 3p)
Expanding the right side:
E - T = 8.25 + 4p - 4.15 - 3p
Combining like terms:
E - T = 4.10 + p
So Elena spent $4.10 + p more than Taniy.
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what possible values can x % 10 evaluate to? (x is an integer). 0..9 means that possible values are 0, 1, 2, and so on up to 9. and so on.
The possible values of x % 10, where x is an integer, are integers between 0 and 9, inclusive, i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
The modulo operation (represented by the percent symbol %) returns the remainder of the division of one number by another. For example, when x is divided by 10, the result of x % 10 is the remainder of that division.
Since 10 is a positive integer, when x is divided by 10, the result is always a non-negative integer. Furthermore, since the range of x is all integers, the result of x % 10 will always be less than 10.
Therefore, the possible x % 10 are integers in the range of 0 to 9, including 0 and 9. These are the remainders that can result from dividing x by 10. For example:
7 % 10 = 7
17 % 10 = 7
27 % 10 = 7
In all of these cases, the remainder is 7 when the number is divided by 10.
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Please help I have a learning disabilty and need help with this
Distribute. 8(3x + 9)
Answer ______________________
Answer:
3
Step-by-step explanation:
8(3x + 9)
24x + 72 =0
24x = -72
x = -72/24
x = -3
Henry runs 8 miles in 47 minutes. How many miles does he run per minute?
Answer:
.17 miles per minute
Step-by-step explanation:
You are trying to figure out how many Miles he ran in EACH minute, so you would do 8(Miles)/47(minutes)
8/47 = .17
Question content area top
Part 1
Suppose a compact disk (CD) you just purchased has tracks. After listening to the CD, you decide that you like of the songs. The random feature on your CD player will play each of the songs once in a random order. Find the probability that among the first songs played (a) you like 2 of them; (b) you like 3 of them; (c) you like all of them.
a) The probability that among the first songs played you like 2 of them
= 0.404
b)The probability that among the first songs played you like 3 of them
= 0.2246
c) The probability that among the first songs played you like all of them
= 0.0024
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
Given:
Total tracks= 18
a) The probability that among the first songs played you like 2 of them
= C(7 , 2) x C( 11, 3) /C(18, 5)
= 21 x 165 / 8568
= 0.404
b)The probability that among the first songs played you like 3 of them
= C(7 , 3) x C( 11, 2) /C(18, 5)
= 35 x 55 / 8568
= 0.2246
c) The probability that among the first songs played you like all of them
= C(7 , 5) x C( 11, 0) /C(18, 5)
= 0.0024
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Find the exact solution to the equation. (5 points)
one hundred times one fifth to the power of quantity x divided by four equals four.
Answer:
x = 2
Step-by-step explanation:
We can start by rewriting the equation as follows:
100 * (1/5)^x / 4 = 4
Next, we'll multiply both sides by 4 to cancel out the division by 4:
400 * (1/5)^x = 16
Finally, we'll divide both sides by 400 * (1/5)^x to isolate (1/5)^x:
1/((1/5)^x) = 16 / 400 = 1/25
Taking the reciprocal of both sides:
(1/5)^x = 25
Taking the power of 5 to both sides:
x = log(25)/log(5) = 2
So x = 2 is the solution to the equation.
Write the expression that is equivalent to (2x+5)(3x+1)
.
Answer & Step-by-step explanation:
To multiply these two binomials, we can use the distributive property as follows:
(2x+5)(3x+1) = 2x(3x+1) + 5(3x+1)
Now, we can simplify each term:
2x(3x+1) = 6x^2 + 2x
5(3x+1) = 15x + 5
Putting these back together, we get:
(2x+5)(3x+1) = 6x^2 + 2x + 15x + 5
Simplifying the middle two terms, we get:
(2x+5)(3x+1) = 6x^2 + 17x + 5
Therefore, the expression that is equivalent to (2x+5)(3x+1) is 6x^2 + 17x + 5.
Hope it helps!HELP ASAP!! Which of the following shows the two lines of reflection that produce an equivalent transformation of the translation ABCD→A'B'C'D' ?
The final coordinates of the vertices of quadrilateral A'B'C'D';
A''(12, 9)
B''(16, 2)
C''(12, -2)
D''(13, 2)
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have to,
to interpret the sequence of transformations,
The coordinates of the quadrilateral ABCD are;
A(-3, 4)
B(-7, -3)
C(-3, -7)
D(-4, -3)
Now, the first sequence of transformation is reflection across the y-axis. Now, the transformation rule for reflection across the y-axis is;
(x, y) → (−x, y) .
Thus, we now have;
A'(3, 4)
B'(7, -3)
C'(3, -7)
D'(4, -3)
It is now translated 9 units left and as such the transformation rule is;
((x + 9), y)
We now have;
A'(12, 4)
B'(16, -3)
C'(12, -7)
D'(13, -3)
It is now translated 5 units up and as such, the final coordinates are;
A''(12, 9)
B''(16, 2)
C''(12, -2)
D''(13, 2)
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Answer:
This one is quite tough as I too was stuck on this one, I believe the answer is B. I hope this helps.
A box shaped like a right rectangular prism measures 8 inches by 6 inches by 5 inches.
What is the length of the interior diagonal of the prism to the nearest hundredth?
A 10.77 inches
10.68 inches
B 11.18 inches
D 11.92 inches
The diagonal length of a right rectangular prism is given by the formula (l2 + w2 + h2) units. The length of the diagonal of this rectangular box is 5√2 cm.
How do you find the length of a diagonal in a rectangular prism?Therefore, the equation for the diagonal length of a right rectangular prism is (l2+w2+h2), where l is the length, b is the breadth, and h is the height.
d2 = l2 + w2 + h2
Take the square root of either side of the equation to find the value of d:
d = √(d2) = √(l2 + w2 + h2)
d = √(l2 + w2 + h2)
The diagonal length is as follows given that the rectangular box in question is 6 cm x 8 cm x 5 cm in size:
d = √(36 + 64 + 25)
d = √(125)
d = √(62.5)·√(2)
d = 5√(2)
Therefore, the length of the diagonal of this rectangular box is 5√2 cm.
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Guadalupe goes out to lunch. The bill, before tax and tip, was $11.25. A sales tax of 9% was added on. Guadalupe tipped 23% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cent.
Answer: $14.10
Step-by-step explanation:
11.25 * 9 = 101.25
101.25/100 = 1.0125
11.25 + 1.0125 = 12.2625
--
12.2625 * 26 = 282.0375
282.0375/100 = 2.820375
11.25 + 2.820375 = 14.070375
--
14.070375 rounded = 14.10
please help so hard due soon
Answer:
the answer I think is the 1st
Step-by-step explanation:
as the change (+4) is in y
not in x
an approximate size which does not represent any of the actual dimensions of the unit is/are
An approximate size which does not represent any of the actual dimensions of the unit is nominal value.
The phrase "nominal number" is said to be quite new and rarely used. It seems to have come from the statistical phrase "nominal data," which is reportedly defined as data revealing "...merely declarations of qualitative category of membership," as it is used in school textbooks. The meaning of the word "nominal" in this use is "name."
Nominal numbering is mathematically a one-to-one and onto function from a set of named objects to a set of numbers, which may change (typically growing) over time. It is a function because each named object is assigned a single number; it is one-to-one because different objects are assigned different numbers; and it is onto because every number in the set at a given time has a single named object associated with it.
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Florida has 8 less than 5 times the number of counties $a$ in Arizona.
Georgia has 25 more than twice the number of counties $f$ in Florida.
The expression which represents Arizona and Florida is 5a - 8 and 2f + 25 respectively.
How to write expressions?Number of countries in Arizona= a
Number of countries in Florida= f
Florida:
5a - 8
Georgia:
2f + 25
Therefore, 5a - 8 and 2f + 25 represents the expression of each country respectively.
Complete question:
Write an expression for the number of counties in Georgia.
Florida has 8 less than 5 times the number of counties, a, in Arizona.
Georgia has 25 more than twice the number of counties, f, in Florida.
a. Write an expression for the number of counties in Florida.
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If f(x)=2x+4, which graph represents f-1(x)
The graph of f-1(x) is (d)
How to determine the graph of f-1(x)From the question, we have the following parameters that can be used in our computation:
f(x) = 2x + 4
This means that
y = 2x + 4
Swap x and y
So, we have
x = 2y + 4
Make y the subject
So, we have
y = 0.5x - 2
This equation is represented by graph (d)
Hence, the graph is (d)
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ou are paid 1.5 times your normal hourly rate for each hour you work over 40 hours in a week. you worked 46 hours this week and earned $612.50. part a: which equation can you use to solve for $x$ , your normal hourly rate? responses $612.50\
The equation to solve for your normal hourly rate is x = (612.5 - 1.5 * 46 + 46 * x) / 40.
In this equation, x represents your normal hourly rate. The first term in the parentheses, 612.5, is your total earnings for the week. The second term, 1.5 * 46, represents the overtime pay you received for working 6 hours over 40 hours. The third term, 46 * x, represents the amount you earned for your 40 hours of regular pay. The final term, 40, represents the number of hours you worked at your regular rate. By dividing both sides of the equation by 40, we can isolate x and solve for your normal hourly rate.
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Complete Question:
You are paid 1.5 times your normal hourly rate for each hour you work over 40 hours in a week. you worked 46 hours this week and earned $612.50. part a: which equation can you use to solve for x , your normal hourly rate?