Multiply the following. Use the cancellation technique.
6 5/6 x 3/4 x 3 3/4
Answers
The answer is 123/16.
To multiply the given expression, we can use the cancellation technique. The expression is given by;6 5/6 x 3/4 x 3 3/4To solve this expression, we have to convert mixed fractions to improper fractions as it makes calculations easy.
Here, we have the mixed fractions of 6 5/6 and 3 3/4, which can be converted to improper fractions by multiplying their whole number with the denominator and adding the numerator to the result.
So, we get;6 5/6 = (6 × 6 + 5)/6 = 41/4and3 3/4 = (3 × 4 + 3)/4 = 15/4Substituting these values in the expression, we get;41/4 × 3/4 × 15/4= (41 × 3 × 15)/(4 × 4 × 4) Now, we can cancel out the common factor 4 from numerator and denominator which results in;41 × 3 × 15 / 4 × 4 × 4= 123 / 16So, the simplified product of the given expression is 123/16.
For more such questions on answer
https://brainly.com/question/29985480
#SPJ8
Related Questions
Find: (i) (-3/5) + (-2/7) (ii) (-2/7) -
(-3/14) (iii) (- 4/ 9) = (- 2/3)
Answers
Answer:
I. 1/5
II. -1/14
III. 2/9
Step-by-step explanation:
(i) (-3/5) + (-2/7)
Opening up the bracket;
3/5 - 2/5 =
Lowest common multiple (LCM) = 5
(3 - 2)/5
= 1/5
(ii) (-2/7) - (-3/14)
Opening up the bracket;
-2/7 + 3/14 =
Lowest common multiple (LCM) = 14
(-4 + 3)/14 = -1/14
(iii) (-4/ 9) = (- 2/3)
Rearranging the fraction, we have;
-4/9 + 2/3 =
Lowest common multiple (LCM) = 9
(-4 + 6)/9 = 2/9
Which of the following is the MOST reasonable equation for the line of best fit?
Answers
Answer:
either c or b that's what I think
m 26= 149º. Find m2 l and m 2 4. 2 m2 1 = 5 m2 = 0 6 8
please help me.
Answers
Answer:
m-1: 31 degrees & m-4: 149 degrees
Step-by-step explanation:
we can start with im very bad at explaining but will try my best.
Step 1:
look at what you're given and remember the rules and principles of finding angles. so were given m-6. when having parallel lines with a perpendicular line the opposing side of the intercept will be the same. meaning that if m-6 is 149 then its opposing side, m-8, will have the same degree. but we know that with straight lines are 180 degrees so now that we have that out of the way we can move to step 2
Step 2:
you have the given and the rules to go with, so now we will begin to apply it. like i was saying a line is 180 degrees, and when we put a line through that we end up having different degrees. although theres an intercept the line is still 180 degrees. so to find the aligning angle we just have to subtract the given angle by our own knowledge.
180-149=31 this aligns with everything in this. there are only 2 angles necessary. 149 and 31, all we have to do now is plug it in.
M-5: 31 degrees
m-6: 149 degrees
m-7: 31 degrees
m-8: 149 degrees
Step 3:
all those annoying angles we just got through, guess what, all you have to do is apply those same angles with m1-m4
M-1: 31 degrees
M-2: 149 degrees
M-3: 31 degrees
M-4: 149 degrees
Find the infinite sum of the geometric sequence with a = 4 , r = 4/6 if it exists.
Answers
Answer:
Step-by-step explanation:
The infinite sum of a geometric sequence is given by the formula:
S = a / (1 - r)
where a is the first term of the sequence and r is the common ratio. In this case, a = 4 and r = 4/6 = 2/3. Plugging these values into the formula above, we get:
S = 4 / (1 - 2/3) = 4 / (1/3) = 4 * 3 = 12
Therefore, the infinite sum of the geometric sequence with a = 4 and r = 2/3 is 12.
Circle the letter for the correct answer.
7 Last summer, we drove cross-
country. The road trip was a total
of 6,765 miles. If we go the same
distance each day for 33 days,
what was the average number of
miles we drove each day?
Answers
Answer:
Step-by-step explanation:205
my question is factor completely by determining the GCF,pulling it to front, and putting the new expression inside parentheses 4x²+8x+2
Answers
The GCF is the greatest common factor. This means that we need to express all the terms by their factors and check which are common between the terms and use the one that is greatest. This is done below.
\(\begin{gathered} 4x^2=2\cdot2\cdot x\cdot x \\ 8x=2\cdot2\cdot2\cdot x \\ 2=2 \end{gathered}\)Since the last term only has one factor, which is "2", the greatest common factor between them is also 2. We now need to divide each term by 2.
\(\begin{gathered} \frac{4x^2}{2}=2x^2 \\ \frac{8x}{2}=4x \\ \frac{2}{2}=1 \end{gathered}\)We can now represent the expression by the GCF. We need to express the factor outside of the parenthesis multiplying the simplified expression given by each term divided by the factor.
\(2\cdot(2x^2+4x+1)\)what is 10 divided by 0.38
Answers
Answer:
the answer is 26.3157895
Step-by-step explanation:
Let me know if this helps
2 Points
This graph shows the solutions to the inequalities y> 3x+6 and y<3x - 7
Does the system of inequalities have solutions? If so, which region contains
the solutions?
A
B
С
O A. There are no solutions
B. There are solutions, and they are the points in region C.
O C. There are solutions, and they are the points in region A.
O D. There are solutions, and they are the points in region B.
Answers
Answer:
Option (A)
Step-by-step explanation:
Two inequalities have been given as,
y > 3x + 6 --------(1)
y < 3x - 7 ------(2)
Inequality (1) shows the solution area shaded in blue, means all the solutions for the inequality will lie in the blue area.
Similarly, solutions of inequality (2) will lie in red area.
No common area for the inequalities.
Therefore, system of inequalities will have no solution.
Option (A) will be the answer.
12. The calculation of property tax is based on the
Answers
The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.
To know more about expressions visit :-
https://brainly.com/question/14083225
#SPJ1
PLS HELLPP
Hector wants to tile his rectangle shed floor with rubber tiles. He found a company that will cut custom square tiles up to 60“ x 60“. The length of shed for is 240 inches and the width is 144 inches.
What is the side length of the largest square tile Hector can use to tile his shed floor so that they are no gaps or overlaps in the entire floor is covered
Answers
Answer:
48 inches
Step-by-step explanation:
The greatest common factor of 144 and 240 is 48. If Hector orders 48" square tiles, he can use 3 of them in the direction of the short dimension, and 5 of them in the direction of the long dimension.
The tiles can be 48 inches square.
__
Using Euclid's algorithm to find the GCF, we have ...
240/144 = 1 r 96
144/96 = 1 r 48
96/48 = 2 r 0 . . . . . 48 is the GCF
At each step, if the remainder from the division is not zero, we replace the larger number with the remainder and do the division again. The divisor that gives a zero remainder is the GCF.
Line AB is translated 6 units down and 8 units to the left. Click on the letter that represents line A'B'.
Answers
The letter that represents the line after a translation by 6 units down and 8 units to the left is; Line Y
How to interpret translation of a Line?Translation in transformation is simply defined as the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
Now, we are told that the line AB is translated 6 units down and 8 units to the left.
Coordinates of A and B are;
A(1, 8)
B(7, 4)
Thus, the translation by 6 units down and 8 units to the left gives us;
A'(1 - 8, 8 - 6) = A'(-7, 2)
B(7 - 8, 4 - 6) = B'(-1, -2)
This corresponds with this is Y
Read more about Translation of Line at; https://brainly.com/question/12861087
#SPJ1
The sum of all integers from -2014 to 2012 is A -2 B. -2014 C. -4025 D. -4027
Answers
Answer:
D. -4027
Step-by-step explanation:
After the first two, the integers can be paired so that each pair has a sum of zero.
-2014 +(-2013) +(-2012) + ... (-1) +0 +1 + ... +2012
= -2014 -2013 +(-2012 +2012) +(-2011 +2011) + ... +(-1 +1) +(0)
= -4027 + 0 +0 +0 + ... +0
= -4027
The number of bacteria in a lab experiment can be modeled by the function
P
(
t
)
=
43
(
3
)
2
t
+
3
.
P(t)=43(3)
2t+3
. Write an equivalent function of the form
P
(
t
)
=
a
b
t
.
P(t)=ab
t
Answers
Answer:
\(P(t) = 1161(9)^{t}\)
Step-by-step explanation:
Given
\(P(t) = 43(3)^{2t+3}\)
Required
Write in form of \(P(t) =ab^t\)
\(P(t) = 43(3)^{2t+3}\)
Apply law of indices:
\(P(t) = 43(3)^{2t}*3^3}\)
Reorder
\(P(t) = 43*3^3*(3)^{2t}\)
Express \(3^3\) at 27
\(P(t) = 43*27*(3)^{2t}\)
\(P(t) = 1161*(3)^{2t}\)
Rewrite as:
\(P(t) = 1161*(3^2)^{t}\)
Express \(3^2\) as 9
\(P(t) = 1161*(9)^{t}\)
\(P(t) = 1161(9)^{t}\)
Given m∥n, find the value of x.
Answers
Answer:
x = 11
Step-by-step explanation:
The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.
Step 1: Thus, we can find the value of x by setting the two angles equal to each other:
7x + 14 = 9x - 8
7x + 22 = 9x
22 = 2x
11 = x
Optional Step 2: We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:
7(11) + 14 = 9(11) - 8
77 + 14 = 99 - 8
91 = 91
let $l$ be the line with equation $\dbinom{10}{3} \dbinom{-2}{1}t$. let $\mathbf{v}$ be a vector from the origin to a point on $l$. find the minimum value of $\|\mathbf{v}\|$.
Answers
The minimum value of \($\|\mathbf{v}\|$\) is zero.
The minimum value of \($\|\mathbf{v}\|$\) is zero, as it is the distance between the origin and a point on the line. To solve this problem, the formula \($\|\mathbf{v}\| = \sqrt{x^2 + y^2}$\) can be used, where x and y are the coordinates of the point on the line. Since the equation of the line is \($\dbinom{10}{3} \dbinom{-2}{1}t$\), the coordinates of the point on the line can be found by substituting \($t = 0$: $x = 10 \cdot 0 - 2 \cdot 0 = 0$, and $y = 3 \cdot 0 + 1 \cdot 0 = 0$\) . Substituting these values into the formula for \($\|\mathbf{v}\|$ gives $\|\mathbf{v}\| = \sqrt{0^2 + 0^2} = 0$\). Therefore, the minimum value of \($\|\mathbf{v}\|$\) is zero.
Learn more about minimum value here:
https://brainly.com/question/14316282
#SPJ4
A line passes through the point (-8, 5) and has a slope of 5/4. Write an equation in slope-intercept form for this line.
Answers
Answer:
5/48
Step-by-step explanation:
40% of 40
Percentage of whole numbers (10-100)
Answers
Hello
40% de 40
(40*40)/100 =>16
Expand and evaluate the following
Answers
===================================
\( \large \sf \underline{Direction:}\)
A. EXPONENTIAL NOTATION: EXPAND AND EVALUATE THE FOLLOWING.
===================================
\( \large \sf \underline{Answer:}\)
3³ = 3 x 3 x 3 = 275² = 5 x 5 = 257³ = 7 x 7 x 7 = 3432⁹ = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 5128⁴ = 8 x 8 x 8 x 8 = 4, 0969³ = 9 x 9 x 9 = 7294³ = 4 x 4 x 4 = 641000⁰ = 17³ = 7 x 7 x 7 = 3434⁰ = 1===================================
\( \large \sf \underline{Explanation:}\)
In the expression 6², 6 is the base and 2 is the exponent. The exponent tells how many times the base should be multiplied by itself.
===================================
#LetEarthBreathe
An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ1
Help pleaseee!! I will give brainlist
Answers
The length FE in the circle is 6 units
The arc AE has a measure of 64 degrees
Calculating the length FEFrom the question, we have the following parameters that can be used in our computation:
The circle
Given that the lengths from the center to either chords are equal
This means that
FE = 6 units
Calculating the measure of arc AEFor the other circle, we have
BC = 58 degrees
AB = ED
The arc AE is calculated as
AE = 180 - BC - ED
Where
AB = ED = BC = 58 degrees
So, we have
AE = 180 - 58 - 58
Evaluate
AE = 64
Hence, the arc AE is 64 degrees
Read more about circles at
https://brainly.com/question/25871159
#SPJ1
Which of the following numbers is a factor of 55?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
6
(Choice B)
B
3
(Choice C)
C
5
(Choice D)
D
7
Answers
Answer:
Choice C: 5
Step-by-step explanation:
55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11 it should be 5 if 11 isn't an option to
A rectangular prism has a length of 3 1/2 feet, a width of 5 1/3 feet, and a height of 12 feet. What is the volume of the prism?
Answers
Volume = length x width x height
First, we need to convert the mixed numbers to improper fractions:
3 1/2 = 7/2
5 1/3 = 16/3
Now we can substitute the values into the formula:
Volume = (7/2) feet x (16/3) feet x 12 feet
Multiplying the fractions and the whole number:
Volume = (7/2) x (16/3) x 12
Simplifying the fractions:
Volume = 56 cubic feet
Therefore, the volume of the rectangular prism is 56 cubic feet.
Answer:
The answer is 1054ft³
Step-by-step explanation:
Volume of rectangular prism =1/3LWH
V=1/3×31/2×51/3×12
V=1054ft³
for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
Answers
An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:
Example 1:
Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
For such more question on equations
https://brainly.com/question/22688504
#SPJ11
The data represents the daily rainfall (in inches) for one month. Construct a frequency distribution beginning with a lower class limit of 0.00 and use a class width of 0.20.Does the frequency distribution appear to be roughly a normaldistribution?data0.3800.220.06000.2100.530.18000.02000.24000.01001.280.2400.190.53000.240Daily Rainfall(in inches)Frequency0.00 dash 0.190.00-0.19nothing0.20 dash 0.390.20- 0.39nothing0.40 dash 0.590.40-0.59nothing0.60 dash 0.790.60-0.79nothingDaily Rainfall(in inches)Frequency0.80 dash 0.990.80-0.99nothing1.00 dash 1.191.00-1.19nothing1.20 dash 1.391.20-1.39nothingDoes the frequency distribution appear to be roughly a normaldistribution?A. No, although the distribution is approximately symmetric, the frequencies do not start low, increase to some maximum frequency, then decrease.B. No, although the frequencies start low, increase to somemaximum, then decrease, the distribution is not symmetric.C. No, the distribution is not symmetric and the frequencies do not start off low.D. Yes, all of the requirements are met.
Answers
Answer:
C. No, the distribution is not symmetric and the frequencies do not start off low.
Step-by-step explanation:
Hello!
You have the data of daily rainfall for one month (inches)
To arrange a data set in a frequency table you have to determine the number of class intervals you want to make, then you calculate their widths as: "total observations"/"desired number of intervals". Once you have the class width, you can determine the limits of the intervals. For the first interval, you select the minimum value of the sample and add the width to obtain the upper limit. Then you have to use that limit as the lower limit of the next interval and add the width to obtain the next limit. And so on until the last one.
In this example you have a given class width of 0.20 and the lower limit for the first interval is 0.00.
Once you have all intervals determined, you have to arrange the data set from least to greatest and count how many observations correspond to each interval.
The symbol [;) in the intervals indicates that the interval is "closed" on the lower limit and "open" on the upper limit. Meaning, if you have for example the observation "0.20" and the intervals [0.00; 0.20) and [0.20; 0.40), the first interval has a limit equal to 0.20 but is open, meaning that the observation does not belong to it, it belongs to the next interval.
(See table in attachment)
Does the frequency distribution appear to be roughly a normal distribution?
A. No, although the distribution is approximately symmetric, the frequencies do not start low, increase to some maximum frequency, then decrease.
B. No, although the frequencies start low, increase to some maximum, then decrease, the distribution is not symmetric.
C. No, the distribution is not symmetric and the frequencies do not start off low.
D. Yes, all the requirements are met.
As you can see not all defined intervals have at least one observed frequency, most of the observations belong to the first and second one. And there is value, 1.28 inches, that shifts the distribution to the right making it strongly skewed. This distribution is far away from being normally distributed.
Hope it helps!
Out of a dozen eggs in a carton, 75% had cracks! How many eggs had cracks?
Answers
Answer:
75% of 12 is 9
The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent. In a large study of prostate cancer screening, it was found that about 6.2% of the population has prostate cancer. Draw a tree diagram for selecting a person from this population (outcomes: cancer present or absent) and testing his blood (outcomes: test positive or negative).
Answers
The missing table for the Test Result can be expressed as:
Test Result
Positive Negative
Cancer Present 0.21 0.79
Cancer Absent 0.06 0.94
Answer:
Step-by-step explanation:
A tree diagram is an elegant way of determining an exhaustive list of sample elements in the sample space. It is by finding the ordered n-tuples of the elements in the events under consideration.
The tree diagram for selecting a person from the population in the given question can be found in the attached image below.
97/83 / 8
107
68 = [?]
Enter
![97/83 / 810768 = [?]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/4zpNNfgc7JdeAU05dvp0hsIdf5uM7dgQ.png)
Answers
Answer: Please rewrite your question or send a pic. It is not clear what you are asking.
Step-by-step explanation:
If f(g(x))=3, then what must be the value of x?
Use the table to find value for x
Answers
Check the picture below.
Big chickens: A report from a poultry industry news Web site stated that the weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1376 grams and standard deviation 183 grams. Use the TI-84 PLUS calculator and round your answers to at least two decimal places. (a) Find the 24th percentile of the weights. (b) Find the 86th percentile of the weights. (c) Find the second quartile of the weights. (d) A chicken farmer wants to provide a money-back guarantee that his broilers will weigh at least a certain amount. What weight should he guarantee so that he will have to give his customers' money back only 1% of the time
Answers
Answer:
i think its b
Step-by-step explanation:
What is the solution to
y-7 > 3+ 2y
Answers
Answer:
y < -10Step-by-step explanation:
\(y - 7 > 3 + 2y \\ y - 7 - 2y > 3 + 2y - 2y \\ y - 7 - 2y > 3 \\ - y - 7 + 7 > 3 + 7\)
\( - y > 10 \\ \frac{ - y}{ - 1} > \frac{10}{ - 1} \\ y < - 10\)