To find the LCD of (5/6, 3/8) we need to find the Least Common Multiple (LCM), which in this case is (6, 8). So we want to find the values of the numerical part of each term. We need to select the largest one, which in this case is 8
Then multiply them together to get the current total. In this case, the current total is 48
Current Total = 48
Multiply the numeric part of the denominators together.
Current Total = 8 + 8 = 16
Again, multiply the numeric part of the denominators together.
Current Total = 16 + 8 = 24
Check each value in the numerical part of each term against the current total. Since the current total is evenly divisible, return it. That is the least common denominator of the numerical part of the fraction.
So the Lowest Common Denominator (LCD) is 24
How many 4-digit numbers can be chosen that are even and greater than 3000?
Answer: 4-digit numbers can be chosen that are even and greater than 3000 is equal to 192.
Step-by-step explanation:
Given data,
4-digit numbers can be chosen that are even and greater than 3000.
For even numbers, each formed 4-digit number must end with 2, 4, or 6. And each such number greater than 3000 must begin with 3, 4, 5, 6, or 7.
Since five digits [1–5] are available, the number may have four or five digits.
All five-digit numbers are greater than 3000, and there are 5! = 120 permutations of the five digits.
Four-digit numbers greater than 3000 must have one of three digits (3 or 4 or 5) as its first digit. The next three digits must be selected from the four remaining digits available, so the number of permutations is: 4 * 3 * 2 = 24.
There are 3 * 24 = 72 numbers of the form 3xxx, 4xxx, 5xxx (all of which are greater than 3000).
The number of possible sequences of [1–5] greater than 3000 include 120 four-digit numbers and 72 five-digit numbers, so the total is 192.
Therefore,
4-digit numbers can be chosen that are even and greater than 3000 is equal to 192.
Learn more about event correlation here: brainly.com/question/24556662
#SPJ9
Help me find the percentiles please
1) The 40th percentile is; 7.6
2) The 75th percentile is; 14.25
What is the percentile of the data values?The formula to calculate the percentile is;
n = (P/100) * N
where;
P = percentile
N = number of values in a data set (sorted from smallest to largest)
n = ordinal rank of a given value
Let us rearrange the 19 weight values from smallest to largest to get;
20, 21, 23, 25, 26, 28, 29, 30, 32, 35, 39, 40, 41, 42, 43, 44, 45, 46, 50
1) At 40th percentile, we have;
n = (40/100) * 19
n = 7.6
2) The 75th percentile, we have;
n = (75/100) * 19
n = 14.25
Read more about Percentile at; https://brainly.com/question/9295706
#SPJ1
ab+c=85
a + bc=86
a=
b=
c=
One possible solution for the given system of equations is:
a = 85, b = 1, c = 1.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
In this problem, we have a system with:
3 variables.2 equations.Since the number of variables is greater than the number of equations, we have a free variable, that is, a variable for which we can attribute a value.
We will attribute c = 1, hence the system becomes:
ab = 85.a + b = 86.Then one possible solution is a = 85 and b = 1, or vice-versa, as:
ab = 85 x 1 = 85.a + b = 85 + 1 = 86.Hence one possible solution for the given system of equations is:
a = 85, b = 1, c = 1.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Use the information to find a linear algebraic equation model that can be used to answer the question.
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3 more than 4 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 103?
By solving some linear equations, we can see that Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.
How many does each boy have to sell if the total number of marbles is 103?Let's define the variables:
x = number of marbles that Mark has.y = number of marbles that Don has.We know that the linear equation:
y = 4x + 3
"If Don has 3 more than 4 times the number of marbles Mark has"
The total number of marbles is 103, then:
x + y = 103.
Then we have two linear equations:
Replacing the first equation into the second one:
x + (4x + 3) = 103.
5x + 3= 103
5x = 100
x = 100/5 = 20
So Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
On a plane trip to Hawaii, the baggage weight projected was 2,182 1/4 lbs. The actual weight of all bags totaled 2,095 1/3 lbs. By how much was the projected weight overstated?
The 86.9167 lbs was the projected weight overstated.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
The baggage weight projected was 2,182 1/4 lbs= 2182.25 lbs
The actual weight of all bags totaled 2,095 1/3 lbs=2095.33 lbs
According to given question we have
We know that
The overstated weight = Projected weight - Actual weight
The overstated weight = 2182.25 lbs -2095.33 lbs
The overstated weight = 86.9167 lbs
Therefore, the 86.9167 lbs was the projected weight overstated.
Learn more details about arithmetic here:
https://brainly.com/question/11559160
#SPJ1
What are the positive and negative square roots of 3,600?
Answer:
60 and -60
Hope this helps! :)
W = 3x + 7y. Solve for y
Answer: y = (w-3x) / 7
Step-by-step explanation:
w = 3x + 7y
7y + 3x = w
7y = w - 3x
y = (w-3x) / 7
How does cancer affect the body of person
Answer:
Cancer can upset the normal chemical balance in your body and increase your risk of serious complications.
Answer:
Cancer can grow into,or begin to push on near by organs , blood vessels,and nerves. This pressure causes some of the signs and symptoms like fever, extreme tiredness or weight loss. This may be because cancer cells use up much of the body's energy supply.
(Two-Way Frequency Tables MC)
Some researchers claim there is an association between taking vitamins and gaining weight. They took a random sample of people living in Boston, Massachusetts, and recorded whether they took vitamins and whether they gained weight. The results are shown in the following two-way table:
Has Gained Weight Has Not Gained Weight Row Totals
Does not take vitamins 16.9% 6.2% 23.1%
Takes one vitamin per day 11.4% 16% 27.4%
Takes more than one vitamin per day 23.5% 26% 49.5%
Column Totals 51.8% 48.2% 1
A student reading the results stated that more than half of the study participants are taking vitamins. Determine if the student is correct.
Yes, because 23.5% take one vitamin and 48.2% take more than one vitamin, which is a total of 71.7% taking vitamins.
Yes, because 27.4% take one vitamin and 49.5% take more than one vitamin, which is a total of 76.9% taking vitamins.
No, because 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins.
No, because 16% take one vitamin and 26% take more than one vitamin, which is a total of 42% taking vitamins.
The student is incorrect as C. No, because 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins
How to illustrate the information?It should be noted that some researchers claim there is an association between taking vitamins and gaining weight.
In this case, a student reading the results stated that more than half of the study participants are taking vitamins. This is incorrect.
It should be noted that 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins.
Learn more about vitamin on:
brainly.com/question/9348916
#SPJ1
Answer:
B. Yes, because 27.4% take one vitamin and 49.5% take more than one vitamin, which is a total of 76.9% taking vitamins.
Step-by-step explanation:
You must add the percentages of the subjects and took vitamins AND did NOT gain weight. The other answer only adds the percentages of those who took vitamins and gained weight. You're looking for the percentage of everyone who took vitamins, regardless of if they gained weight or not.
11.4% + 16% = 27.4% - Takes one vitamin per day
23.5% + 26% = 49.5% - Takes more than one vitamin per day
27.4% + 49.5% = 76.9%
Therefore the student is correct, since it is more than 50% of the participants.
What is the slope-intercept equation of the line going through (6, 7) and
(2,-1)?
Answer:
y=2x-5
Step-by-step explanation:
you use m=y2-y1/x2-x1 which equals 2. So that's our slope. Then you do b=y1 -mx1 or yout could do the second point. This gives you b= 7-(2) x(6)=-5. That's how you get the y. Hope this helps!
Calculate the total paid hours of the following workers. The weekly pay is $5.15 per hour, with time and a half for any hours beyond 40. Use Method 2. Round all values to two decimal places.
REG HOURS WORKED × REG HOURLY PAY = REG WEEKLY PAYCHECK
NEXT
(REG HOURLY RATE × .5) + REG HOURLY RATE = = OT HOURLY RATE
NEXT
TOTAL HOURS WORKED - REG HOURS WORKED= OT HOURS WORKED
NEXT
(TOTAL HOURS WORKED - 40)× OT HOURLY RATE + ;REG WEEKLY PAYCHECK =
TOTAL WEEKLY PAYCHECK
During the exponential growth phase of Salmonella Enerica bacteria in a certain environment, the population grows exponentially with a growth rate of 2.74% per hour. For an initial population of 18 Salmonella Enerica bacteria, determine how many bacteria will be present after 4 days in the exponential growth phase. Round to the nearest whole number
Population growth is exponential, growing by some multiple over time that is dictated by a rate. To find the population exponential growth formula, take this initial premise, the population multiplied by a rate, and equate it to the change in population with respect to time.
Number of bacteria present after 4 days will be 20.05 .
Given,
Initial population = 18
Growth rate = 2.74%
Here,
The exponential growth is given by ,
N = [tex]N_{0} (1 + r )^t[/tex]
N = population after time t
No = Initial population
r = growth rate
t = time
Here,
No = 18
t = 4 days
r =2.74% = 0.0274
Substitute the values in the formula ,
N = 18 [tex](1 + 0.0274)^{4}[/tex]
N = 20.05 .
Know more about exponents,
https://brainly.com/question/26296886
#SPJ2
How many solutions does the nonlinear
have?
system of equations graphed below
Answer:
Step-by-step explanation:
c
2/3w-1|<8
HELP PLEASE
Answer:
5/3 > w and w > -1
Step-by-step explanation:
l3w-1l < 4
3w-1 < 4 and 3w-1 > -4
3w < 5 and 3w > -3
w < 5/3 and w > -1
*Please mark brainliest
If you walk for 1 ½ hour at an average speed of 4kph. How far will you have walked?
Answer:
distance = 3.72823 miles
6.0000045811 Kph
Step-by-step explanation:
Pace = Time\Distance
express the fact that x differs from 5 by less than 1/4 as an inequality involving absolute value
The expression as an inequality involving absolute value is |x - 5| < 1/4
How to express as an inequality involving absolute value?The statement is given as
Express the fact that x differs from 5 by less than 1/4 as an inequality involving absolute value
Rewrite as
x differs from 5 by less than 1/4
Less than means <
So, we have
x differs from 5 < 1/4
Differs means -
So, we have
|x - 5| < 1/4
Hence, the expression as an inequality involving absolute value is |x - 5| < 1/4
Read more about inequality at
https://brainly.com/question/24372553
#SPJ1
Take three hundredths from 6.5
Answer: 6.47
Step-by-step explanation:
a hundredth is .01 so 3 of those would be .03, and 6.5 - .03 is 6.47
Determine the values of y in the equation y² = 121.
Pre-Algebra 8th grade
All I know that it is not 11
+11, -11
The reason the answer is not 11 is not because you did the math wrong its because you gave the answer is just 11.
even when you square a negative number you multiply two negatives to make a positive so it would have to be -11 and +11.
This applies to whenever you square a number, the answer can always be two possibilities the positive and the negative.
Can someone help with this question?✨
Answer:
B is: (9,-5)
Step-by-step explanation:
The square units between A and AB is 6. So six more units in the other direction and you get (9,-5).
The ratio of flour to butter in a recipe for pie crust is 2:1 if a baker makes 30 cups of pie crust how many cups of flour and how many cups of butter does he need
The number of flour cups would be 20
and butter cups would be 10.
The explanation to this question this is
There are total 30 cups of pie crust made.
Now, 2
2:1 is the ratio given.
For flour cups
= [tex]\frac{2}{3}[/tex] × 30
= 2 × 10
= 20
For butter cups
= [tex]\frac{1}{3}[/tex] × 30
= 1 × 10
= 10
So in total 30 cups of pie crust , there are 20 cups of flour and 10 cups of butter.
Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.
Two amounts are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent." For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio.
Learn more about ratios here :
https://brainly.com/question/13419413
#SPJ9
Maurice walks 262 miles due south, then 168 miles due west and finally 422 miles due north. How far is Maurice from his starting point?
? miles
The displacement of Maurice from his starting point is 232 miles.
What is displacement?
The displacement of an object is the change in the position of the object. Displacement measures how far an object is from its initial position or starting point.
The displacement of Maurice from his starting point is calculated as follows;
|B
|
| |A
| |
|--------------------- |
A line connecting point A and B will form the displacement of Maurice from his staring point.
line connecting AB = hypotenuse side of the right
Base of the triangle = 168 miles
Height of the triangle = 422 - 262 = 160 miles
AB = √(168² + 160²)
AB = 232 miles
Thus, the displacement of Maurice from his starting point is 232 miles.
Learn more about displacement here: https://brainly.com/question/2109763
#SPJ1
How many times larger is the 8 in 184.36 than 9,027.83
Answer: Thus, the number with the larger value of 8 is 184.36 and it is 100 times larger.
Step-by-step explanation:
First we can find out the place value,
Then we can write,
Define Place value :
Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value. The number 42,316 is different from 61,432 because the digits are in different positions.
[or]
Place value of a digit can be defined as the position of the particular digit in a given number.
For Example :
The place value of 7 in 1870 is 70
Given the data,
First we use digit is : 184.36
Second we use digit is : 9027.83
Place value of 8 in First digit is ⇒ 184.36 is 80
Place value of 8 in Second digit is ⇒ 9027.83 is 0. 8
We can solve the Ratio is :
Ratio = 80/ 0.8
Ratio = 100 times
Therefore,
Thus, the number with the larger value of 8 is 184.36 and it is 100 times larger.
Learn more about event correlation here: brainly.com/question/17103145
#SPJ9
Tell whether the value is a solution to the inequality 8-X>3;X=2
Answer: The value is not a solution the inequality 8-x>3; x=2
Step-by-step explanation:
8-x>3
-8 -8
----------
-x>-5
----------
-x -x
x<5
Find the derivative of each function. h(x) = (4x^3 + 8x)(16 – 5x^5)
The derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]
What is a derivative ?The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.
Given:
The given function is
[tex]h(x) = (4x^3 + 8x)(16-5x^5)[/tex]
According to given question we have
[tex]h(x) = (4x^3 + 8x)(16- 5x^{5} )[/tex]
[tex]h'(x)=\frac{d(4x^{3} +8x)(16-5x^{5}) }{dx} \\\\=\frac{d(64x^{3}+20x^{8} +128x-40x^{6}) }{dx} \\\\=192x^{2} +160x^{7} +128-240x^{5}[/tex]
Therefore, the derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]
Learn more details about derivative here:
https://brainly.com/question/25324584
#SPJ1
Fill in the blanks below with the correct units.
(a) Jina’s pet dog has a mass of 7______
(I) grams
(II) kilograms
(b) Keith squeezed an orange and got about 70 _____ of juice
(I) milliliters
(II) liters
(c) The soccer field at Tony’s school is 100_______ long.
(I) millimeters
(II) centimeters
(III) meters
(IV) kilometers
Answer:
Step-by-step explanation:
A: Kilogram
B: Milliliters
C: 100 Kilometers
Helppppp ur girl outtt
they are both proportional
A. 6.5 apples but you can't buy half a apple so 6 Apples
B. 10 hours
HELP WITH THIS QUESTION MATH WIZARDS The entire graph of the function g is shown in the figure below.
Write the domain and range of g as intervals or unions of intervals.
Answer:
[tex](-1,1) \cup (3,5), (-5,2)[/tex]
Step-by-step explanation:
The domain is the set of x-values, and the range is the set of y-values.
Match the word with the definition.
Question 2 options:
Common Denominator
Product
Mixed Number
Multiple
Improper Fraction
Difference
1.
The result of subtracting one number from another.
2.
When the denominators of two or more fractions are the same.
3.
Two or more factors multiplied together results in this.
4.
The result of multiplying a number by an integer (not by a fraction.
5.
A way to represent a fraction as an integer plus a fraction.
6.
A fraction in which the numerator is greater than the denominator.
Why did Matt get upset when his teacher called him average?
Leo farms 576 acres of land. one year he planted soybeans on 3/16 of his land. How many acres did he plant with soybeans
The acres of land Leo plant with soyabeans is 108 acres.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now given that,
Total farms of land = 576 acres
Part of land planted soyabeans = 3/16 of total farms of land
Putting the values we get,
Part of land planted soyabeans = 3/16 of 576 acres
Simplifying we get,
Part of land planted soyabeans = 3/16 * 576 acres
Solving we get,
Part of land planted soyabeans = 1,728/16 acres
Thus, we get
Part of land planted soyabeans = 108 acres
this is the required acres of land with soyabeans.
Thus, the acres of land Leo plant with soyabeans is 108 acres.
To learn more about fractions :
brainly.com/question/445498
#SPJ1