9/5 = 54/30
1/6 = 5/30
54/30 - 5/30 = 49/30 = 1 19/30
The difference is as follows:
[tex]\dfrac{9}{5}-\dfrac{1}{6}=\dfrac{49}{30}[/tex]
Step-by-step explanation:We are given two fractions and we are asked to find there difference.
The expression is as follows:
[tex]\dfrac{9}{5}-\dfrac{1}{6}[/tex]
( since, the denominator of two fractions is different hence we take the least common multiple of the denominators.
i.e. lcm{5,6}=30 )
Now, we proceed as follows:
[tex]\dfrac{9}{5}-\dfrac{1}{6}=\dfrac{9\times 6-1\times 5}{30}[/tex]
i.e.
[tex]\dfrac{9}{5}-\dfrac{1}{6}=\dfrac{54-5}{30}[/tex]
i.e.
[tex]\dfrac{9}{5}-\dfrac{1}{6}=\dfrac{49}{30}[/tex]
What is the midpoint of AB if A = (−2, 2) and B = (3, −1)? Enter your answer in the boxes below.
Answer:
[tex](\frac{1}{2}, \frac{1}{2})[/tex]
Step-by-step explanation:
Since, the coordinates of the midpoint of a line segment having the endpoints [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] are,
[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Here,
[tex]x_1=-2, y_1=2, x_2 = 3, y_2=-1[/tex]
Hence, the coordinates of the midpoint of segment AB are,
[tex](\frac{-2+3}{2},\frac{2-1}{2})[/tex]
[tex](\frac{1}{2}, \frac{1}{2})[/tex]
Write 0.12*10-3 as a decimal
What is 2.085×106 in standard form?
208,500
285,000
2,085,000
2,850,000
2.085 x 10^6 =
move the decimal 6 places to the right: 2,085,000
Daniel Plays Videogames for 2/3 (Fraction) of an hour every night before dinner. hos many hours if videogames does he play altogether after 5 days.
Please explain how to do this
38 points!
Please do #11 and #12
In return:
Brainliest
Special Thanks
How do you turn -13 into an improper fraction
Alex spend 3/4 of his money. He gave 1/4 of the remainder to his sister. He had $120 left. How much did have in the beginning?
The following table shows the data collected from a random sample of 100 middle school students on the number of hours they do household chores every week
There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to do household chores for at least two hours every week?
A: 480 B: 960 C: 1,020 D: 1,440
There will be 1020 students in the school doing household chores for at least two hours every week.
What is a ratio?A ratio is a comparison of two attributes of a similar kind.
Based on the random sample, the number of students doing household chores for at least two hours every week =64+3+1 =68
Out of 100, the number of students doing household chores for at least two hours every week = 68
So, out of 1, the number of students doing household chores for at least two hours every week = 68/100
So, out of 1500, the number of students doing household chores for at least two hours every week = (68/100)*1500 =1020
Thus, there will be 1020 students in the school doing household chores for at least two hours every week.
To get more about ratios visit:
https://brainly.com/question/2328454
(1, -1) parallel to y= 2/5x-3
which of these numbers are square numbers 25 36 48
What's 755,082 rounded to the nearest 10,000
Determine the equation of the graph and select the correct answer below. parabolic function going down from the left through the point negative five comma zero and turning at the point negative four comma negative one and going up through the point negative three comma zero and through the point zero comma fifteen and continuing towards infinity Courtesy of Texas Instruments y = (x + 4)2 + 1 y = (x + 4)2 − 1 y = (x − 4)2 + 1 y = (x − 4)2 − 1
Solution: The correct option is second option, i.e., [tex]y=(x+4)^2-1[/tex].
Explanation:
The standard form of the parabola along the y-axis with vertex (h,k) is [tex]y=a(x-h)^2+k[/tex].
Since the turning point is given as [tex](-4,-1)[/tex].
Put these values in the standard form of the parabola.
[tex]y=a(x+(-4))^2+(-1)[/tex]
[tex]y=a(x+4)^2-1[/tex] .....(1)
The parabola passes through the points (-5,0), (-3,0) and (0,15). It means each point will satisfy the above condition.
Put x = 0 and y = 15 in the equation (1).
[tex]15=a(0+4)^2-1\\16=4^2a\\16=16a\\a=1[/tex]
Put a = 1 in equation (1).
[tex]y=1(x+4)^2-1[/tex]
Therefore, the The correct option is second option, i.e., [tex]y=(x+4)^2-1[/tex].
The greatest common factor of a number n and 6 is 3. What are all of he possible whole-number values for n?
Answer: Odd multiple of 3.
[tex]3,\ 9,\ 15,\ 21, \ 27, \ 33, \ 39,\ 45,...........[/tex]
Step-by-step explanation:
Given : The greatest common factor of a number n and 6 is 3.
Then, it is clear that n should be a multiple of 3.
Prime factorization of 6 :
[tex]6=2\times3[/tex]
So for n a even number then the greatest common factor will be 6.
Thus , the possible choice for n is a odd multiple of 3.
Hence, the possible whole-number values for n are :
[tex]3,\ 9,\ 15,\ 21, \ 27, \ 33, \ 39,\ 45,...........[/tex]
Help me plz math (picture)
Need help on my math homework
200 +6m = 500-6m
add 6m to each side
200+12m = 500
subtract 200 from each side
12m = 300
divide both sides by 12
m = 300/12 = 25
25 minutes
check:
200+ 25*6 = 200 +150 = 350
500 - 25*6 = 500-150 = 350
-2/3×1/2×-6/7=
please help
Approximate the square root of 18 to the nearest tenth and plot the number on a number line SHOW ALL WORK
52 thousandths in scientific notation
60 + 84
the sum of the numbers as a product of their GCF is?
Final answer:
The sum of 60 and 84 expressed as a product of their Greatest Common Factor is 144. You determine this by first finding the GCF, which is 12, and then adding the other factors (5 and 7) together and multiplying by the GCF.
Explanation:
To find the sum of the numbers 60 and 84 as a product of their Greatest Common Factor (GCF), you first need to calculate the GCF of the two numbers. The GCF of 60 and 84 is 12. You can divide each number by 12 to find the other factors, which are 5 for 60 and 7 for 84. Therefore, the sum of the numbers can be expressed as the product of their GCF and the sum of these other factors:
60 + 84 = (12 × 5) + (12 × 7)
GCF × (sum of other factors) = 12 × (5 + 7)
Now you can add the other factors:
5 + 7 = 12
Then multiply by the GCF:
12 × 12 = 144
So, the sum of the numbers expressed as a product of their GCF is 144.
What is the value of y in the equation 3(3y – 12) = 0? (5 points)
4
5
6
9
4.
How many solutions does the equation 5p – 4p – 8 = –2 + 3 have? (5 points)
One
Two
None
Infinitely many
What is 23.66 times 2.03
what is 15%, 0.015, and 1/5 from least to greatest
Solve for b.
d = 3a + 3b
A)b=d−3a
B)b=d−3a/3
C)b=3a−d/3
D)b=d−3a/a
whats the answer to z−4/9−1/3=5/9
use distributive property to find the product of (m+3)(m+7)
Answer:
m² + 10m + 21
Step-by-step explanation:
(m + 3)(m + 7)
m(m + 7) + 3(m + 7)
m² + 7m + 3m + 21
m² + 10m + 21
5^2-11 over 6(3). Evaluate the expression. A. 7. B. 2/9. C.-1/63. D. 7/9
A company’s profits (P) are related to increases in a worker’s average pay (x) by a linear equation. If the company’s profits drop by $1,500 per month for every increase of $450 per year in the worker’s average pay, what is the slope of the graph of the equation?
Okay So I just a question that I don't even know what it means, So if someone could help that would be awesome!
see attached picture for solution:
Maryann is testing the effectiveness of a new acne medication. There are 100 people with acne in the study. Fifty-five patients received the acne medication, and 45 other patients did not receive treatment. Thirty of the patients who received the medication reported clearer skin at the end of the study. Twenty-two of the patients who did not receive medication reported clearer skin at the end of the study. What is the probability that a patient chosen at random from this study took the medication, given that they reported clearer skin?
Answer: 58 %
Step-by-step explanation:
Let M represents the event of taking medicine, M' represents the event of not taking medicine and C represents the event of clearing skin,
Thus, according to the question,
n(M) = 55,
n(M') = 45,
n(M∩C) = 30,
n(M'∩C)= 22,
⇒ n(C) = n(M∩C) + n(M'∩C) = 30 + 22 = 52
Let S shows the total number of people,
⇒ n(S) = 100
Hence, the probability of cleared skin,
[tex]P(C)=\frac{n(C)}{n(S)}=\frac{52}{100}=0.52[/tex]
And, the probability of cleared skin of that people who took the medicines,
[tex]P(M\cap C)=\frac{n(M\cap C)}{n(S)}=\frac{30}{100}=0.3[/tex]
Thus, the probability that a patient chosen at random from this study took the medication, given that they reported clearer skin,
[tex]P(\frac{M}{C})=\frac{P(M\cap C)}{n(C)}=\frac{0.3}{0.52}=0.57692307692\approx 0.58 = 58\%[/tex]
Answer: 0.58
Step-by-step explanation:
Let A = Event that the patients received the acne medication.
B = Event that the patients did not receive the acne medication.
C = Patient reported reported clearer skin.
Now,
[tex]P(A)=\dfrac{55}{100}=0.55\ \ ,P(B)=\dfrac{45}{100}=0.45[/tex]
[tex]P(C|A)=\dfrac{30}{55}\ \ , P(C|B)=\dfrac{22}{45}[/tex]
Using Bayes theorem, The probability that a patient chosen at random from this study took the medication, given that they reported clearer skin:
[tex]P(A|C)=\dfrac{P(A)\cdot P(C|A)}{P(A)\cdot P(C|A)+P(B)\cdot P(C|B)}\\\\=\dfrac{0.55\cdot\dfrac{30}{55}}{0.55\cdot\dfrac{30}{55}+0.45\cdot\dfrac{22}{45}}=0.576923076923\approx0.58[/tex]
Hence, the required probability : 0.58