Rory can make 43 metaballs from the remaining beef.
What are maths operations?An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value. The operation's arity is determined by the number of operands.Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations. A zero-arity operation, also known as a nullary operation, is a constant. The mixed product is an example of an arity 3 operation, also known as a ternary operation.Rory has 6 pounds of ground beef on hand for making meatballs.
He makes 9 meatballs with 5/8 pounds of meat per meatball.
We must subtract 5/8 from 6.
6 - 5/848-5/843/8There are 43/8 pounds of ground beef remaining.
As a result, the number of 1/8 pound meatballs produced from 21/8 pound ground beef can be calculated as follows:
43/8 ÷ 1/843/8 × 8/1= 43Therefore, Rory can make 43 metaballs from the remaining beef.
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Write an equation to show how
much money (y) a plumber
makes in one visit to fix a
furnace if they charge $50 per
hour (x) and $100 per visit.
Answer:
y = 50x + 100
Step-by-step explanation:
At the zoo, 457 students visit the giraffes and 315 adults visit the
giraffes. ABOUT how many people visited the giraffes in all? Round
to the nearest ten.
Answer:
About 770 giraffes
Step-by-step explanation:
457+315=772
The short-film festival at the county fair draws a large crowd of
moviegoers who enjoy the work of local filmmakers. Each year,
attendees vote for their favorite film in several categories, including
comedy, horror, and documentary. 65% of the 280 votes cast in the
comedy category were for Cat-urday Night Fever.
How many people voted for Cat-urday Night Fever as the best
comedy film shown at the festival?
The number of people who voted for Cat-urday Night Fever as the best comedy film is given by the equation A = 182 people
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 people who voted for the comedy film be = A
Now , the equation will be
The total number of people = 280 people
The percentage of people who voted for the best comedy film = 65 %
So , number of people who voted for the comedy film A = percentage of people who voted for the best comedy film x total number of people
Substituting the values in the equation , we get
Number of people who voted for the comedy film A = ( 65 / 100 ) x 280
On simplifying the equation , we get
Number of people who voted for the comedy film A = 0.65 x 280
Number of people who voted for the comedy film A = 182 people
Therefore , the value of A is 182 people
Hence , the number of people is 182 people
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5 ptsQuestion 7=Describe how the graph of y = (x+3)3 + 4 changes from the parent graph ofy = $3.Then name the turning point of the graph.Lyshifts left 3 units, up 4units;(4,3)shifts left 4 units, up 3 units: (4,3)shifts left 3 units, up 4 units (-3,4)O shift left 3 units, up 4 units (3,4)
Shifts left 3 units, up 4 units (-3,4)
Explanations:Given the parent function of the translated function expressed as:
\(y=x^3\)If the resulting translated function is given as:
\(y=(x+3)^3+4\)This shows that the parent graph shifted to the left by 3units and up by 4 units and the turning point of the graph is (-3, 4). Find the graph shown below:
1/8 times 5/8 in simplest form
Answer:
5/64
Step-by-step explanation:
numerators 1 time 5 is 5 and denominators 8 times 8 is 64; 5/64
A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61
The value of 'x' in the equation log(x-3) = 5 is A. 33 B. 32. C. 35. D. 34
Therefore , the solution of the given problem of equation comes out to be x = 100,003 is the value of x that fulfils the equation log(x-3) = 5.
What is an equation?It is standard practise in mathematical formulas to employ a single variable term to ensure agreement between competing claims. Equations, which are mathematical statements, are used to demonstrate the equality of many academic expression numbers. Instead of dividing 12 into 2 parts in this instance, the normalise technique adds b + 6 to use the data from
y + 6.
Here,
By utilising the characteristics of logarithms, we can find x.
Beginning with the expression provided:
=> log(x-3) = 5
It can be rewritten in exponential form as follows:
=> 10^5 = x - 3
When we simplify this solution, we obtain:
=> x = 10^5 + 3
We can calculate that 105 = 100,000 by using a calculator, so:
=> x = 100,000 + 3 = 100,003
As a result, x = 100,003 is the value of x that fulfils the equation
log(x-3) = 5.
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Divide
14 divided by 2/7
Answer:
49
Step-by-step explanation:
The numbers in 14 divided by 2/7 are labeled below:
14 = whole number
2 = numerator
7 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
\(\frac{14*7}{2}=\frac{98}{2}\)
Thus, the answer to 14 divided by 2/7 in fraction form is:
\(\frac{98}{2}\)
To make the answer to 14 divided by 2/7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
98 / 2 = 49
The answer is rounded to the nearest two decimal points if necessary.
98/2 can be simplified to 49/1.
49/1 is an improper fraction and should be written as 49.
[RevyBreeze]
The division of 14 by 2/7 gives the quotient 49.
What is Division?The division is one of the four introductory fine operations, the other three being addition, deduction, and addition. In simple words, division can be defined as the splitting of a large group into lower groups similar that every group will have an equal number of particulars. It's an operation used for equal grouping and equal sharing in calculation.
We have to divide 14 by 2/7.
So, We have to multiply the fraction by reciprocate the number 2/7 to 7/2.
So, the division is
= 14 x 7/2
= 7 x 7
= 49.
Thus, the quotient is 49.
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Below is the five-number summary for 136 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of time to complete the 212-mile hike from Yosemite Valley across the high Sierras to the top of Mount Whitney.
Five-number summary:
Minimum = 9 days
The first quartile (
Q
1
)
=
18
days
The median (
Q
2
)
=
21
days
The third quartile (
Q
3
)
=
28
days
Maximum =56 days.
If we use the 1.5 * IQR rule to determine whether there are any outliers, what is the right boundary?
Interquartile range:
Interquartile range is used by the data analyst to detect the whether there any data value which is located far away from others. The data analyst usually finds this by plotting the box-plot (a visualization technique based on interquartile range formula), Since it is the best and easy way to locate outlier values.
If we use the 1.5 * IQR rule to see if there are any outliers, the correct boundary is 43 days.
To use the 1.5 * IQR rule to determine whether there are any outliers in this data set, we need to first calculate the IQR. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).
IQR = Q3 - Q1
= 28 - 18
= 10
Next, we can calculate the boundaries for potential outliers:
Lower boundary = Q1 - 1.5 * IQR
= 18 - 1.5 * 10
= 3
Upper boundary = Q3 + 1.5 * IQR
= 28 + 1.5 * 10
= 43
Since the maximum value in the data set is 56, there are no outliers above the upper boundary. Therefore, the right boundary is 43 days.
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A vehicle purchased for $25,000 depreciates at a constant rate of 6%. Determine the approximate value of the vehicle
11
years after purchase. Round to the nearest whole dollar.
Answer: The approximate value of the vehicle after one year is $23,500
Step-by-step explanation:
This is because the 6% depreciation rate means that the vehicle loses 6% of its original value each year. In this case, 6% of $25,000 is $1,500, so the value of the vehicle after one year is $25,000 - $1,500 = $23,500.
Who won more games 7/10 or 2/5
Answer:
7/10
Step-by-step explanation:
Let’s assume that 41% of Californians have been to Disneyland. A random sample of 6 Californians are chosen and asked if they have ever been to Disneyland.
a) Define a random variable X for this situation.
b) Is X binomial or geometric or neither? Explain.
c) Out of the 6 people asked, with is the probability that exactly 3 have been to Disneyland?
d) What is the mean of X?
e) What is the standard deviation of X?
f) What is the probability that the number of Californians in this sample that have been to Disneyland is within one standard deviation of the mean?
a) Let X represent the random variable of the number of Californians in the sample of 6 people who have been to Disneyland.
b) X is a binomial random variable because it records the number of successes (people who have been to Disneyland) in a fixed number of trials (6 people).
c) The probability =3.05.
d) The mean of X is 2.46.
e) The standard deviation of X is 1.2.
f) The probability 68.27%.
What is standard deviation?It is used to measure the spread of data around the mean or expected value.
a) Let X represent the random variable of the number of Californians in the sample of 6 people who have been to Disneyland.
b) X is a binomial random variable because it records the number of successes (people who have been to Disneyland) in a fixed number of trials (6 people).
c) The probability of exactly 3 people having been to Disneyland is 3.05.
This is calculated using the binomial probability formula:
P(x=3) = (6³) * (0.41³) * (0.59³)
= 3.05
d) The mean of X is 2.46. This is calculated using the binomial mean formula:
μ = n * p
= 6 * 0.41
= 2.46
e) The standard deviation of X is 1.2. This is calculated using the binomial standard deviation formula:
σ = √[n * p * (1 - p)]
= √[6 * 0.41 * (1 - 0.41)]
= 1.2
f) The probability that the number of Californians in the sample that have been to Disneyland is within one standard deviation of the mean is 68.27%.
This is calculated using the standard normal distribution z-score formula:
P(1.19<z<2.73) = 0.6827
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Please help as soon as possible
Answer:
a. When you have two parallel lines cut by a transversal, angles 4 and 6 become same side interior angles, meaning they add to 180 degrees. Alex's mistake is that he thought angles 4 and 6 were corresponding angles, which are equal to each other (corresponding angles would be like angles 2 and 6. they are in the same place in relation to the transversal and the parallel lines. if you moved line l down, angle 2 would be on the same spot as angle 6, so they are corresponding angles).
b. angles 4 = 140 degrees
Step-by-step explanation:
a. Alex thought that angles 6 and 4 were corresponding angles, however, they are same side interior angles. Because two parallel lines are cut by a transversal, we can conclude that angles 4 and 6 are same side interior angles.
Same side interior angles are angles that add to 180, so you would do 180-40 to get angle 4. the measure of angle 4 would be 140 degrees (the answer to b).
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
26. My little brother has a 4-digit bike lock with the digits 0 to 9 on each part of the lock as shown. He started on the correct combination and turned each part the same amount in the same direction and now the lock shows the combination 6348. Which of the following CAN- NOT be the correct combination of my brother's lock? (A) 8560 (B) 3015 (C) 4906 (D) 1893 (E) 6348 0782 Activate Windows
Answer:
A
Step-by-step explanation:
The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.
Question
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
cm³
The figure contains a right rectangular prism. The length of the prism is labeled 3 and one half centimeters, the width is labeled 6 centimeters, and the height is labeled 5 and one half centimeters.
The volume of the prism is 115.5 cubic centimeters.
What is a rectangular prism?A three-dimensional structure called a right rectangular prism has six rectangular faces, each of which has four right angles. The length, breadth, and height of a right rectangular prism are perpendicular to one another, and the opposing sides are congruent and parallel to one another. The prism's dimensions—also referred to as its length, breadth, and height—can be utilised to determine its volume. Multiplying the prism's length, width, and height yields the volume of a right rectangular prism.
The volume of the rectangular prism is given by the formula:
Volume = Length x Width x Height
Substituting the values we have:
Volume = 3.5 cm x 6 cm x 5.5 cm
Volume = 115.5 cubic centimeters
Hence, the volume of the prism is 115.5 cubic centimeters.
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A club is choosing 2 members to serve on a committee. The club has
nominated 3 women and 3 men. Based on chance alone, what is the
probability no women are chosen to be on the committee?
Answer: The probability that no women are chosen to be in the committee is 2/5 or 0.40.
Step-by-step explanation:
We have two positions, and we have 6 options for those positions, 3 are men, and 3 are women.
If we want to see the probability where no women are chosen, then this means that in the first selection a man is chosen.
If all the 6 nominees have the same probability of being chosen, then the probability that in the first selection a man is chosen is equal to the number of men divided the total number of nominees, this is:
p1 = 3/6 = 1/2.
Now the same happens for the second selection, but now we have 5 total nominees and 2 are men, so the probability now is:
p2 = 2/5
And the joint probability will be the product of the individual probabilities, then we have:
P = p1*p2 = (1/2)*(2/5) = 2/5.
The probability that no women are chosen to be in the committee is 2/5 or 0.40.
The probability that no woman is chosen to be on the committee is 0.40.
GivenA club is choosing 2 members to serve on a committee.
The club has nominated 3 women and 3 men.
The number of ways to select two persons from 6 will be:
\(\rm = ^6C_2\)
Therefore,
The probability that no woman is chosen to be on the committee is;
\(= \dfrac{1}{2} \times \dfrac{2}{5}\\\\= \dfrac{1}{5}\\\\=0.40\)
Hence, the probability that no woman is chosen to be on the committee is 0.40.
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PLS SOMEONE HELP!!! DUE TODAY
Answer: I can help!
Step-by-step explanation
Turn all the xs above into 6 then, see if your answer is true and explain.
Simplify the following expression.
Answer:
x^(4/21)
Step-by-step explanation:
Please help me, this question is so confusing and I tried almost every way to solve this and it’s still wrong. It wants me to find how much metal need to make the 16 cans and I tried multiplying 16 and it’s still wrong. Please help! Diameter is 8, height is 9. Please use 3 as pi to solve.
Answer:
\(4992 \text{ cm}^2\)
Step-by-step explanation:
We can model the amount of metal, in square centimeters, that is needed to make a soup can with the expression:
\((2 \cdot \text{area of base}) + (\text{area of side})\)
We can first solve for the surface area of a soup can, using the fact that its bases are circles.
\(A_{\text{circle}} = \pi r^2\)
↓ substituting 3 for π
\(A_{\text{base}} = 3r^2\)
↓ plugging in radius (which is 1/2 of diameter, given as 8)
\(A_{\text{base}} = 3(4)^2\)
↓ simplifying
\(A_{\text{base}} = 48 \text{ cm}^2\)
Then, we can solve for the area of its side, which we can think of as an elongated circumference (circumference multiplied by height).
\(A_{\text{circumference}} = \pi d\)
\(A_{\text{side}} = h(\pi d)\)
↓ substituting 3 for π
\(A_{\text{side}} = h(3d)\)
↓ plugging in height and diameter
\(A_{\text{side}} = 9(3 \cdot 8)\)
↓ simplifying
\(A_{\text{side}} = 216 \text{ cm}^2\)
Next, we can solve for the surface area of one soup can.
\((2 \cdot \text{area of base}) + (\text{area of side})\)
↓ plugging in solved values
\((2 \cdot 48 \text{ cm}^2) + 216 \text{ cm}^2\)
↓ simplifying
\(96 \text{ cm}^2 + 216 \text{ cm}^2\)
↓ performing addition
\(312 \text{ cm}^2\)
Finally, we can solve for the amount of metal needed for 16 cans by multiplying the amount for 1 can by 16.
\(16 \cdot 312 \text{ cm}^2\)
↓ performing multiplication
\(\boxed{4992 \text{ cm}^2}\)
Which insect measurement was the most frequent?
Length of insects (in inches)
The insect measurement that was the most frequent is given as follows:
1 and 1/4 inches.
How to obtain the most frequent insect measurement?A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.
Hence, a dot plot shows the number of times that each observation appeared in the data-set.
The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:
1 and 2/8 = 1 and 1/4 inches.
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A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1080 feet of fencing material, what should be the length and width of the field?
The width of the field is 230 feet and the length is 310 feet.
Let's denote the width of the field as "x" feet.
The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.
To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:
2(length) + 2(width) = perimeter
Substituting the given values:
2(x + 80) + 2(x) = 1080
2x + 160 + 2x = 1080
4x + 160 = 1080
4x = 920
x = 920/4
x = 230
Therefore, the width of the field is 230 feet.
Now we can find the length by adding 80 feet to the width:
Length = Width + 80 = 230 + 80 = 310 feet.
So, the width of the field is 230 feet and the length is 310 feet.
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Ramon invested a total $9,700 into two accounts, account 1 earns 6% simple interest and account 2 earns 4% simple interest. After one year, the total interest earned from both accounts was $466. Let X be the amount you invested in account 1 and y be the amount invested in account 2
Answer:
In the account that paid 3% Ramon put $800
In the account that paid 6% Ramon put $1,600
Step-by-step explanation:
Answer:
x+y= 9700 & 0.06x + 0.04y=466
Step-by-step explanation:
let X & Y be each account. Together, they are $9,700.
So, x+y=9700
thus, account 1 (x) earns 6 %. which converted to decimal is 0.06
account 2 (y) earns 4 % which converted is 0.04
It also said that both accounts were $466, after 1 year.
0.06x+0.04y=466
A to D is an example of _____________?
A. reflection across the line y = 1
B. reflection across the line y = x
C. y-axis symmetry
D. x-axis symmetry
Answer:
D
Step-by-step explanation:
A and D are both equidistant from the x- axis, that is
A is 3 units above the x- axis and D is 3 units below the x- axis
then the x- axis is the line of symmetry
HELP GIVING BRAINELIST
The integer 7 makes which of the following equations false?
t + 6 = 13
16 = 3x − 5
4m + 2 = 7m
−7(t − 9) = 14
Answer:
3. 4m + 2 = 7m
Step-by-step explanation:
3. 4m + 2 = 7m
m = 7
4(7) + 2 = 7(7)
28 + 2 = 49
false
gillan read 3,135 words in 19 minutes let w represent the number of words read each minute if gillian read the same number of words each minute how many words did she read in 1 minute?
The number of words Gillan can read in 1 minute is, 165
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Gillan read 3,135 words in 19 minutes
The number of words read each minute = w
Now, it has given,
Total words = 3135
Time taken = 19 minutes
For words per minute,
we need to take ratio of total words and total time taken,
Ratio = Total words/Time taken
= 3135/19
= 165
Hence, the number of words in 1 minute is 165
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Consider the plot created from the residuals of a line of best fit for a set of data. Does the residual plot show that the line of best fit is appropriate for the data?
A) Yes, the points have no pattern.
B) No, the points are evenly distributed about the x-axis.
C) No, the points are in a linear pattern.
D) Yes, the points are in a curved pattern.
i know 100% the answer isn’t B or D!
Answer:
c
Step-by-step explanation:
Answer:
A. Yes, the points have no pattern.
Step-by-step explanation:
just did it on edge and got 100%
Plz help guys I need help
how many are 4 x 4 ?
Answer: 16
Step-by-step explanation:
4 * 4 = 16