Answer:
LCM of 7/10- 70
LCM of 5/6- 30
Step-by-step explanation:
Solution:
To find the Least common denominator (LCD) of 7/10 and 5/6, we need to find the Least common multiple of 10 and 6.
I found the LCM through division method. Refer to image attached~
We can tell that:
The LCM is 2 x 3 x 5, which when simplified, we obtain 30. The LCD is 30.Now, let's multiply the denominators and the numerators such that 30 is the denominator in both fractions.
=> 7/10 = 7 x 3/10 x 3 = 21/30=> 5/6 = 5 x 5/6 x 5 = 25/30The fractions are:
21/30 and 25/30Divide each number line into the given fraction unit. Then, place the fractions. Write each whole as a fraction 10/6 18/6 15/6
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{10}{6}\rightarrow \dfrac{10\div2}{6\div2}\rightarrow \bf \dfrac{5}{3} \rightarrow 1\dfrac{2}{3}}}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{18}{6}\rightarrow\dfrac{18\div3}{6\div3}\rightarrow \bf \dfrac{6}{2}\rightarrow \dfrac{3}{1}\rightarrow 3}}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{15}{6}\rightarrow \dfrac{15\div3}{6\div3}\rightarrow\bf \dfrac{5}{2}\rightarrow 2 \dfrac{1}{2}}}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Suppose Abby tracks her travel time to work for 60 days and determines that her mean travel time, in minutes, is 35.6. Assume the travel times are normally distributed with a standard deviation of 10.3 min. Determine the travel time
such that 26.11% of the 60 days have a travel time that is at least
.
You may find this standard normal distribution table or this list of software manuals useful. Give your answer rounded to two decimal places.
Using the normal distribution, it is found that the the travel time such that 26.11% of the 60 days have a travel time that is at least is of 42.19 minutes.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 35.6[/tex].The standard deviation is of [tex]\sigma = 10.3[/tex].The travel time such that 26.11% of the 60 days have a travel time that is at least X when Z has a p-value of 1 - 0.2611 = 0.7389, hence X when Z = 0.64, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.64 = \frac{X - 35.6}{10.3}[/tex]
[tex]X - 35.6 = 0.64(10.3)[/tex]
[tex]X = 42.19[/tex]
The travel time such that 26.11% of the 60 days have a travel time that is at least is of 42.19 minutes.
More can be learned about the normal distribution at https://brainly.com/question/24663213
can you please solve this question please
Answer:
B. False.
Step-by-step explanation:
4 (x + 6) = 24
4x + 24 = 24
4x = 0
x = 0
Therefore, answer choice B is the correct answer.
Select each value of a for which you can solve the system by elimination without multiplying first.
2x+5y=16
ax+3y=6
Answer: dddss Ggg. Nj
Step-by-step explanation:
In a neighborhood, 1240 of the lots have three or more trees. Which percentage of lots in the neighborhood have three or more trees?
Answer: 30%
Step-by-step explanation:
someone please help me please please please help me please please please please please please please please please with these quadratic equations
Answer:
5, 22, 16
Step-by-step explanation:
10. t = 5
11. k = 22
12. z = 16
Hunter is filling his swimming pool with water. Write a description of what is happening in the graph below.
Answer:The more gallons, the more time Hunter spent to fill it.
Step-by-step explanation:
Both increase as they grow.
PLEASE HELP SOLVE THIS IM STUCK AND VERY CONFUSED I WILL GIVE BRAINLY
In simple words, The question is asking us to find the Slope of the given line...
[tex] \boxed{ \sf \: m = \frac{rise}{run} = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } }[/tex]
The letter m represents slopeTo find the slope, We need to take two point and then identitify x1, x2, y1, y2
(3,-4)(-1,8)Now,[tex] \tt \: m = \frac{8 - ( - 4)}{ - 1 - 3} [/tex]
[tex] \tt \: m = \frac{8 + 4}{ - 4} [/tex]
[tex] \tt \: m = \frac{12}{ - 4} [/tex]
[tex] \boxed{ \bf \: slope = - 3}[/tex]
Solution:
Note that:
Slope = Rise/RunRise and Run stated in pictureStep-1: Pick and two points on the line.
My chosen points are: (0,5) and (2,-1)Step-2: Use the formula y₂ - y₁/x₂ - x₁:
y₂ - y₁/x₂ - x₁ = Slope=> -1 - 5/2 - 0 = Slope=> -6/2 = Slope=> -3 = SlopeThe slope of the line is -3.
Which statement is true about liabilities but not expenses
A. They have a normal debit balance.
B. They are due in the period they are incurred.
C. They are on the company’s income statement
D. They are recorded when owed
Answer:
B. They are recorded when owed
Step-by-step explanation:
Hope this helps
The probability that an event will happen is
37/41. Find the probability that the event will not happen.
Answer: 4/41?
Step-by-step explanation:
Is that what you wanted?
Or do you need it as a percentage?
4(x+6)≤−56 it says Solve the inequality.
[tex] \huge\tt\boxed{\tt x \leqslant −20}[/tex]
Step-by-step explanation:
[tex] \looparrowright \sf4x+24 \leqslant −56[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf4x \leqslant −56 - 24[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf4x \leqslant −80[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x \leqslant −80 \div 4[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x \leqslant −20[/tex]
What is three hours later than 2:30
Answer:
Three hours later than 2:30 is 5:30
Step-by-step explanation:
Solve for x.
−4/5x+3/10<8/10
Answer:
for (−4/5)x + 3/10 < 8/10: solution is x > -5/8
for −4/(5x) + 3/10 < 8/10: solution is x > -8/5
Step-by-step explanation:
I'm not exactly sure if you mean -4 divided by 5x or (-4/5)x, so I've done both! :)
[tex]-\frac{4}{5}x+ \frac{3}{10} < \frac{8}{10}[/tex]
subtract 3/10 from both sides: [tex]-\frac{4}{5}x < \frac{5}{10}[/tex]
Divide both sides by 4/5: [tex]-x < \frac{5}{8}[/tex]
Divide both sides by -1 (reverse sign): [tex]x > -\frac{5}{8}[/tex]
[tex]-\frac{4}{5x}+ \frac{3}{10} < \frac{8}{10}[/tex]
subtract 3/10 from both sides: [tex]-\frac{4}{5x} < \frac{5}{10}[/tex]
Multiply both sides by 5x: [tex]-4 < \frac{5}{2}x[/tex]
Divide both sides by 5/2: [tex]x>- \frac{8}{5}[/tex]
[tex]\\ \tt\longmapsto \dfrac{-4}{5}x+\dfrac{3}{10}<\dfrac{8}{10}[/tex]
[tex]\\ \tt\longmapsto \dfrac{-4}{5}x<\dfrac{5}{10}[/tex]
[tex]\\ \tt\longmapsto -4/5x<1/2[/tex]
[tex]\\ \tt\longmapsto x>-5/8[/tex]
Polynomial factoring
X^3-5x^2-x+5
Answer:
=143Yiii HAHHAHAHAHAHAHHA
Answer:
(x-5)(x-1)(x+1)
Step-by-step explanation:
hope this helps you :)
This is Linear Equation. The Sum of three numbers is 27. The second number is three times the first, while the third is twice the first, Find the average.
Answer:
average = 9
(the third number is the average)
Step-by-step explanation:
If the sum of three numbers is 27, then the average (mean) is the total (27) divided by the number of values (3):
⇒ 27 ÷ 3 = 9
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
However, if you want to find the actual numbers:
Let x = first number
Let y = second number
Let z = third number
Given:
The sum of three numbers is 27 ⇒ x + y + z = 27The second number is three times the first ⇒ y = 3xThe third number is twice the first ⇒ z = 2xSubstitute y = 3x and z = 2x into x + y + z = 27 and solve for x:
⇒ x + 3x + 2x = 27
⇒ 6x = 27
⇒ x = 4.5
y = 3x
⇒ y = 3 x 4.5
⇒ y =13.5
z = 2x
⇒ z = 2 x 4.5
⇒ z = 9
Therefore, x = 4.5 y = 13.5 and z = 9
which means z (the third number) is same value as the average
A mechanic charges C(t) dollars to install a new distributor in a car. The formula C(t)=16t+160 is used to find the cost of installation, where t is the number of hours of labor performed by the mechanic. What does the slope represent?
Answer:
Labor cost per hourStep-by-step explanation:
The given formula is linear, with the slope of 16 and the y-intercept 160.
The slope represents a labor cost per hour and the y-intercept is the cost of spare parts used in repair.
Rotate Polygon HJKL 180° about
the origin, reflect it across the
y-axis, and then reflect it across
the x-axis. Write the coordinates
of the vertices of the image
Polygon H'U'K'L'. How do the
vertices of Polygon H'U'K'L'
compare to the corresponding
vertices of Polygon HJKL?
Please help, I will
mark as brainliest ;)
help please whats the distance
Susan Marciano invested part of her 28,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 5% loss. Find the amount of each investment if her overall profit was 2,920
a = amount that paid 11% profits
b = amount that lost 5% profits
we know that whatever those values are, a + b = 28000.
how much is 11% of "a"? well, (11/100) * a = 0.11a.
how much is 5% of "b"? well (5/100) * b = 0.05b.
[tex]a+b=28000\implies b=28000 - a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{paid~11\%}{0.11a}~~ \stackrel{\stackrel{loss}{\downarrow }}{-} ~~\stackrel{lost~5\%}{0.05b}~~ = ~~\stackrel{overall~paid}{2920} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.11a~~ - ~~0.05(28000-a)}=2920\implies 0.11a+0.05a-1400=2920 \\\\\\ 0.16a-1400=2920\implies 0.16a=4320\implies a=\cfrac{4320}{0.16} \\\\\\ \boxed{a=27000}~\hspace{10em}\boxed{\stackrel{28000-a}{b=1000}}[/tex]
on
ning
Solve for x and y.
x
128°
у
Answer:
y88 porty forty
YoungBoy
Answer:
x = 52°
y = 128°
Step-by-step explanation:
This is an isosceles trapezoid as the legs are the same length (denoted by the double dashes).
For an isosceles trapezoid, the sets of angles adjoined by parallel lines are equal. Therefore, for this trapezoid, y = 128 and the two remaining angles are both x.
The interior angles of a trapezoid = 360°
Therefore, x + x + 128 + y = 360
Since we know y = 128:
2x + 128 + 128 = 360
⇒ 2x = 104
⇒ x = 104 ÷ 2 = 52
Evaluate variable expressions for 1 and 2
Answer: The answer is 10
Step-by-step explanation:
2a = 2 times 3 which is 6. b2= 2 times 2. 2 times 3 is 6, 2 times 2 is 4. 6 + 4 is 10
What is the slope of this graph. A. -1/3 B. 2/3 C. 1/3 D.-2/3
Answer: 2/3
Step-by-step explanation:
Consider the pts (0, -3) and (3, -1).
change in y = -2
change in x = -3
So the slope is (-2)/(-3) = 2/3
Choose Yes or No to tell if the fraction will make each equation true.
Answer:
#1 Is Yes
#2 is no
#3 is no
#4 is yes
please help me i am stuck, i need better instructions. i dont want an answer. tysm for ur time.
Answer:
38 in²
Step-by-step explanation:
5 faces:
front: area = 2*6/2 = 6
back = front = 6
left = 3 * 2 = 6
right = 4*2 = 8
bottom = 6*2 = 12
total = 6 + 6 + 6 + 8 + 12 = 38 in²
7 times as much as the sun of 1/3and 4/5
Answer:
Step-by-step explanation:
First of all, you add 1/3 and 4/5, so you get:
To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:
Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:
That's the sum of 1/3 + 4/5.
Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:
In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:
Since 119 and 15 don't have a common factor, so they can't be simplified.
So, the answer is 119/15.
Hope this Helps! :D
What is the factorization of the trinomial below?
3x2 - 21x + 30
O A. 3(x-6)(x - 5)
O B. 3(x-2)(x - 5)
O C. 3x(x-2)(x-5)
O D. 3x(x-6)(x - 5)
B if not C, with the exponent of the coefficient
The factorization of the trinomial is A = 3 ( x - 2 ) ( x - 5 )
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the expression be represented as A
Now , the value of A is
A = 3x² - 21x + 30 be equation (1)
On simplifying , we get
Taking 3 as the common factor of the expression , we get
A = 3 ( x² - 7x + 10 )
A = 3 ( x² - 2x - 5x + 10 )
On factorizing , we get
A = 3 ( x - 2 ) ( x - 5 )
Hence , the expression is A = 3 ( x - 2 ) ( x - 5 )
To learn more about factorizing click :
https://brainly.com/question/804076
#SPJ7
Ling Ling collected(587) stickers and Jia Jia collected 245 stickers. After giving 40 stickers to their cousin, they put the remainder equally into(36 boxes. How many stickers were there in each box?
Answer:
22 stickers in each box
Step-by-step explanation:
Ling Ling = 587 stickers
Jia = 245 stickers
Therefore, total number of stickers = 587 + 245 = 832
if they gave 40 stickers to their cousin, then
remaining stickers = 832 - 40 = 792
If they put the remaining 792 stickers equally into 36 boxes, then
number of stickers in each box = 792 ÷ 36 = 22
8x18÷4+15 use pemdas right answers only
Answer:
51
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Multiplication first, then division, and then addition.
(8*18)÷4+15 (Multiplication)
(144÷4)+15 (Division)
(36) + 15 (Addition)
51
Hope that helps!
Answer:
51.
Step-by-step explanation:
When we use PEMDAS, we need to know what it stands for first. What it stands for will give us the steps necessary to complete and solve this problem.
PEMDAS stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
In this problem we do not have parenthesis or exponents, so we can go ahead and skip to multiplication. So:
8 x 18 ÷ 4 + 15
144 ÷ 4 + 15
Now we can go to doing division.
144 ÷ 4 + 15
36 + 15
Now we can do addition.
36 + 15
So, the answer is 51.
I hope that this helps.
Fill in the table using this function rule
A line passes through the point (3,6) and has a slope of 7. Write an equation in point-slope form for this line.
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{7}(x-\stackrel{x_1}{3})[/tex]
Answer:
[tex]y=7x-15[/tex]
Step-by-step explanation:
Given the following question:
Point A = (3, 6) = (x1, y1)
m (slope) = 7
We will find the equation of this line by finding the slope intercept.
[tex]y=mx+b[/tex]
[tex]y=6[/tex]
[tex]m=7[/tex]
[tex]x=3[/tex]
[tex]6=7(3)+b[/tex]
[tex]7\times3=21[/tex]
[tex]21-21=0[/tex]
[tex]6-21=-15[/tex]
[tex]b=-15[/tex]
[tex]y=7x-15[/tex]
Hope this helps.