Six friends each 3/4 of a mile in a relay. What is the total distance they ran
how do you graph 8a-10=38 but a=6?
Does X = 1.6 satisfy the equation 6-4x = -x/4
What are two lines in the same plane that intersect at right angles?
A) angle
B) line segment
C) parallel lines
D) perpendicular lines
Answer:
its d trust me im on usatestprep
Step-by-step explanation:
How can we tell the difference between a common multiple problem and a common factor problem?
Find 2 pairs of numbers whose LCM is the product Of The Numbers
Pairs of numbers whose LCM is the same as their product occur with prime numbers or the number one with any other number. For instance, 2 and 3, and 1 and 6 are such pairs of numbers, since their LCM and their product is 6 in both cases.
Explanation:To find two pairs of numbers whose LCM (Least Common Multiple) is the product of the numbers themselves, you need to understand that this will only happen with pairs of prime numbers or the number one with any number. Prime numbers are those numbers that have only two distinct positive divisors: 1 and the number itself. If you multiply two prime numbers, or a number and the number one, the product will be their LCM. For example, if you take the numbers 2 and 3, which are both prime, their product is 6 and so is their LCM. The same thing happens if you take the numbers 1 and 6, whose product is 6, and 6 is also their LCM. So, 2 and 3, and 1 and 6 are two pairs of numbers whose LCM is the product of the numbers.
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What is the area of the following parallelogram in square centimeters?
A) 396 cm2
B) 360 cm2
C) 3.6 cm2
D) 3.96 cm2
Which of the following sets of numbers is a Pythagorean triple?
A) 42, 40, 82
B) 42, 40, 58
C) 41, 41, 58
D) 40, 41, 57
Answer with explanation:
1.⇒Area of Parallelogram = Corresponding height × Base
= 2 cm × 18 mm
→1 cm = 10 mm
So, Area of Parallelogram
= 2 cm × 1.8 cm
= 3.6 cm²
Option C: →3.6 cm²
→→→2. A triplet ,that is set of three numbers is called Pythagorean triplet, if it is of the form of : {m²-1, 2 m , m²+1}
That is if you write the Pythagorean rule for Right triangle, having sides , m²-1, 2 m , m²+1
then ,→ Square of Largest side = Sum of squares of two smallest side
Square of Largest Side = (m²+1)²
Sum of squares of two smallest side= (2 m)² + (m²-1)²
= 4 m² + (m²)² -2 m²+1
= (m²)² +2 m²+1
=(m²+1)²
So, we will check out , out of four options which of them are Pythagorean Triplet.
Option 1.
Square of Largest Number = 82²=6724
Sum of squares of two smaller number= 42² + 40²
= 1764 +1600
= 3364
→Square of Largest Number ≠Sum of squares of two smaller number
6724 ≠ 3364
Not a Pythagorean Triple.
Option 2.
Square of Largest Number = 58²=3364
Sum of squares of two smaller number= 42² + 40²
= 1764 +1600
= 3364
→Square of Largest Number =Sum of squares of two smaller number
3364= 3364
A Pythagorean Triple.
Option 3.
Square of Largest Number = 58²=3364
Sum of squares of two smaller number= 41² + 41²
= 1681 +1681
= 3362
→Square of Largest Number ≠Sum of squares of two smaller number
3364 ≠ 3362
Not a Pythagorean Triple.
Option 4.
Square of Largest Number = 57²=3249
Sum of squares of two smaller number= 41² + 40²
= 1681 +1600
= 3281
→Square of Largest Number ≠Sum of squares of two smaller number
3249 ≠ 3281
Not a Pythagorean Triple.
Option B: (42, 40,58) is a Pythagorean triple.
Answer:
C
Step-by-step explanation:
the are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 9 girls and 3 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed.
21 people are going to the show. They have 3 vans and 1 car. If 6 people fit in each van, how many will have to ride in a car?
Question 8 options:
3
4
5
6
What is the answer to -5/8y=-1/2
4 yd. 8 in + 6 yd. 6 in
The sum of the expression 4 yards 8 inches and 6 yards 6 inches will be 10 yards and 14 inches.
What is addition?The sum of the numbers is known as an addition.
The expressions are given below.
4 yd. 8 in and 6 yd. 6 in
The sum of the expression 4 yards 8 inches and 6 yards 6 inches will be
⇒ (4 + 6) yd and (8 + 6) in
⇒ 10 yards and 14 inches
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Final answer:
To solve the addition of 4 yards 8 inches and 6 yards 6 inches, we add yards to yards and inches to inches, resulting in 10 yards 14 inches, which simplifies to 10 yards and 2 inches because 12 inches make a foot, and 3 feet make a yard.
Explanation:
The student's question involves adding two measurements together: 4 yards 8 inches and 6 yards 6 inches. In mathematics, especially in the measurement units topic, it is common to work with both the same and different units when performing calculations. To add these two measurements, we must add the yards together and the inches together separately. Since 1 yard equals 3 feet, this information can be used to convert yards to feet if necessary.
\n\n
First, add the yards: 4 yards + 6 yards = 10 yards. Next, add the inches: 8 inches + 6 inches = 14 inches. Because there are 12 inches in a foot, 14 inches is equivalent to 1 foot 2 inches. Thus, we need to convert this extra foot into yards, knowing that there are 3 feet in 1 yard, so 1 foot = 1/3 yard.
\n\n
We have 10 yards from the initial addition and an additional 1/3 yard from converting the extra foot to yards. Adding these together, we get 10 yards + 1/3 yard = 10 1/3 yards. Since there are no more than 12 inches in the remaining inches part, our final answer in yards and inches is 10 yards 2 inches.
A semiconductor manufacturing company employs 1,000 people. The average weekly salary of each employee is $750. Select the graph that correctly shows the total cost to the company of paying its employees during a year.
Answer:
Option A
Step-by-step explanation:
The semiconductor manufacturing company employs 1000 people average weekly salary of each employee is $750.
So total cost to the company = 750 × 1000
= $750,000 per week.
From the given graphs, the ratio of amount to weeks will show the cost to the company for a week.
Graph A. Cost to the company = [tex]\frac{300\times 1,000,000}{40}[/tex] =
$750,000 per week.
This graph is for 52 week so the correct one.
Graph B. Graph B is same as graph A but data is given for more than 60
weeks so incorrect graph.
Graph C. Ratio of amount and weeks is [tex]\frac{40000000}{30}[/tex]
= $1333333.33 per week So incorrect option.
Graph D. Graph D is same as graph A and B but it is for less than 40 weeks.
So Incorrect graph.
Option A is the answer.
Ladonna is running for city council. She needs to get 5/6 of her votes from senior citizens and 36,000 votes in all to win. How many votes does she need from voters other than the senior citizens
What is the standard form of the number three million , sixty thousand, five hundred twenty?
5 1/2
-
3 3/4
______
5 1/2 - 3 3 /4 =
11/2 - 15/4 =
22/4 - 15/4 = 7/4 = 1 3/4
Please find "s"
11 = -6s
Simplify the expression in detail plz
I'll company sells happy cherry make they make a large batch is of makes that can be used to feel 250 backseat determine night how many pounds of each ingredient should be used to make one patch of apple cherry mix then decide how much the company should charge for each bag of Apple cherry mix and explain how how you made your decision
Last week, there were 225 student absences at Johnson High. The circle graph below summarizes them by the day of the week on which they occurred. The central angle for the Tuesday slice is 86.4° . What percentage of the absences occurred on Tuesday?
The percentage of student absences that occurred on Tuesday is approximately 24%.
The circle graph represents the distribution of student absences by day of the week. The central angle for the Tuesday slice is given as 86.4°. To find the percentage of absences on Tuesday, we use the formula: (Central Angle / Total Central Angle) * 100%. In this case, (86.4° / 360°) * 100% ≈ 24%. Therefore, approximately 24% of the student absences occurred on Tuesday.
The central angle represents the proportion of the total absences attributed to each day. A circle has a total central angle of 360°, and the central angle for each day is a fraction of this total. Tuesday's central angle of 86.4° indicates that Tuesday's absences make up 24% of the total absences.
This method applies because the circle graph represents a whole, and each sector's central angle corresponds to its share of the total. Consequently, the calculation accurately reflects the percentage of absences on Tuesday in relation to the entire week.
Jeremiah is saving money for a tutoring job after the first 3 weeks he saved 135$ assume the situation is proportional use the unit rate to write an equation relating the amount saved s to the number of weeks w worked at this rate how much will Jeremiah save after eight weeks? Plz help
Answer:
s = 45w
Step-by-step explanation:
Jeremiah is saving money for a tutoring job.
He saved $135 after 3 weeks.
Therefore, his saving per week = [tex]\frac{\text{Total amount}}{\text{Number of weeks}}[/tex]
= [tex]\frac{135}{3}[/tex]
= $45
If he works for w weeks then at the same rate total amount saved by him will be
= $45w
If this amount is equal to $s then equation that represents the total saving after w weeks will be
s = 45w
What is 612 times 87 with work shown multiply by multi digit number
What two integers is the square root of 87 between
The two integers that surround the square root of 87 are 9 and 10.
The first step is to find out the square root of 87:
= √87
= 9.33
Integers are all whole numbers numbering from 1 to infinity so the two integers the square root will be between are the integers immediately below 9.33 and above it. These numbers are:
9 and 109 is immediately below 9.33
10 is immediately above 9.33
In conclusion, the square root of 87 is between 9 and 10.
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You need to arrange four of your favorite books along a small shelf. How many different ways can you arrange the books assuming the order of the books make a difference
Final answer:
To determine the number of different arrangements of four books, we calculate the permutation 4!, which equals 24. Hence, there are 24 different ways to arrange the four books.
Explanation:
The question asks about the number of different ways to arrange four books on a shelf, assuming the order of the books makes a difference. This problem is an example of a permutation, where the arrangement of a set of items is important.
To calculate this, we use the formula for permutations, which is n!, where 'n' is the number of items to arrange. In this case, we have four books, so we calculate 4! (which is shorthand for 4 × 3 × 2 × 1).
Therefore, 4! = 24. There are 24 different ways to arrange the four books on the shelf.
What property is 6 (m×n)=(6×m)n
Find the value of the following expression:
(2^8 ⋅ 3^−5 ⋅ 6^0)^−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28
Write your answer in simplified form. Show all of your steps.
Thank you, I was having a little bit of trouble with this, but then you helped.
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. −5x − 25 = 78 Step 1: −5x − 25 − 25 = 78 − 25 Step 2: −5x = 53 Step 3: negative five times x over negative five = fifty-three over negative five Step 4: x = negative fifty-three over five Step 1: She should have added 25 to each side. Step 1: She should have divided both sides by −5. Step 3: She should have divided both sides by −5. Step 3: She should have multiplied both sides by −5.
To the nearest hundred, what is the greatest whole number that rounds to 2,500
The greatest whole number that rounds to 2,500 to the nearest hundred is 2549.
Explanation:To answer this question, we need to understand how rounding works. When we round to the nearest hundred, any number that falls exactly in the middle or above will round up to the next hundred. Any number that falls below the middle will round down to the previous hundred. The middle point between 2400 and 2500 is 2549. Therefore, 2549 would be the greatest whole number that rounds down to 2500 when rounded to the nearest hundred.
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Last year, the Humane Society of a certain city took in 21,320 animals. If the Humane Society was open all 52 weeks that year, how many animals were taken in each week on average?
what percent of 92 is 69
The number 69 is 75 % or 75 percentage of the number 92
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage be represented as A
Let the first number be n₁ = 92
Let the second number be n₂ = 69
And , the percentage value of 69 of the number 92 is given by
n₂ = ( A / 100 ) x 92
On simplifying , we get
69 = ( A / 100 ) x 92
Multiply by 100 on both sides , we get
6900 = 92A
Divide by 92 on both sides , we get
A = 6900 / 92
A = 75 %
Therefore , the value of A is 75 %
Hence , the percentage value of 69 of the number 92 is 75 %
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a = a is an example of which algebraic property (A) Symmetric property (B) transitive property (C) reflexive property (D) commutative property of multiplication
Answer:
(C) reflexive property
Step-by-step explanation:
In algebra there are several rules and properties that help us work and discover new things, the reflexive property of algebra states that every single thing is equal to itslef, this means that you can use any term, let´s say "w", and "w" will always be equal to itself. W=W, just as a=a.