The greatest possible length for the pieces into which two wires of lengths 448 cm and 616 cm can be cut without a remainder is 56 cm, which is the Greatest Common Divisor of the two lengths.
For the lengths given, 448 cm and 616 cm, the GCD can be found using the Euclidean algorithm.
Divide 616 by 448 and find the remainder: 616 / 448 gives a quotient of 1 and a remainder of 168.
Next, divide the former divisor (448) by the remainder (168) to get a new quotient and remainder: 448 / 168 gives a quotient of 2 and a remainder of 112.
Repeat this process using the previous remainder: 168 \/ 112 gives a quotient of 1 and a remainder of 56.
Continue the process: 112 / 56 gives a quotient and remainder of 2 and 0, respectively.
Therefore, the greatest possible length for equally-sized pieces of wire without remainder is 56 cm.
There are two approaches to solving the equation -3x + 10 = 4x - 20
Subtract 4x from both sides. OR Add 3x to both sides.
-7x + 10 = –20 OR 10 = 7x - 20
Solve the equation using both approaches.
What is the solution?
Answer:
You can take this equation into two approaches.
#1 subtracting 4x from both sides:
-3x+10=4x-20 (subtract 4x from each side)
-7x+10=-20 (then subtract 10 from each side)
-7x=-30 (then divide by -7 to get x by itself)
x=30/7
#2 Add 3x to both sides:
-3x+10=4x-20 (Add 3x to both sides)
10=7x-20 (then add 20 to each side)
30=7x (divide both sides by 7)
30/7=x
Either way you do it you will get x=30/7 as your answer.
Hope this helps ;)
Answer:letter c x=30/7
Step-by-step explanation:
Elroy and Rose are at Schematic to buy a school planner. There are 333 colors (purple, red, and blue) and 222 formats (lined and unlined) offered. They each created a display to represent the sample space of randomly picking a color and a format.
Whose display correctly represents the sample space?
Answer:
Both of them
Step-by-step explanation:
Answer:
Both of them
Step-by-step explanation:
What are all of the keys that must be pressed, in correct
order, on the calculator shown to find the value of 6,704 x 9?
1.) 6704*9
2.) 6.704*9
3.) C6704*9
4.) C6.704*9
Xerxes, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first?
Answer in decimal form. Round to 3 decimal places as needed.
Answer:
0.143
Step-by-step explanation:
From counting principle, we can say that:
There are 7! ways of the 7 people to arrive first. Any one of them can come first. But, what is the probability that Xerxes with arrive first?
We take that Xerxes is the first one to arrive, then from the 7 - 1 = 6 remaining people, they can arrive in 6! ways. So
Probability Xerxes arrives first = 6!/7! = 0.1429
Rounding to 3 decimal places, it will be:
Probability Xerxes arrives first = 0.143
7t2 – 14t
------------------
4t2 – 9
this is a fraction does it have any excluded values and why
Final answer:
The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.
Explanation:
The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.
First, notice that the denominator is a difference of squares, which factors as follows:
4t2 − 9 = (2t + 3)(2t - 3)Next, we set each factor of the denominator equal to zero to find the excluded values:
2t + 3 = 0, which yields t = -3/22t - 3 = 0, which yields t = 3/2Therefore, the excluded values are t = -3/2 and t = 3/2.
The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.
The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.
First, notice that the denominator is a difference of squares, which factors as follows:
4t2 − 9 = (2t + 3)(2t - 3)
Next, we set each factor of the denominator equal to zero to find the excluded values:
2t + 3 = 0, which yields t = -3/2
2t - 3 = 0, which yields t = 3/2
Therefore, the excluded values are t = -3/2 and t = 3/2.
The box plots show attendance at a school dance competition and school badminton games.
Box plots titled Attendance at School Dance Competitions versus School Badminton Games with horizontal axis labeled Attendance ranges from 50 to 160. Dance Competition box plot with minimum approximately at 60 and maximum approximately at 150 has interquartile ranges approximately between 60 and 130 and median approximately between 90 and 100. Badminton box plot with minimum approximately 90 and maximum approximately at 150 has interquartile ranges approximately between 90 and 150 and median approximately between 120 and 130.
Which of the following best describes how to measure the spread of the data?
The standard deviation is a better measure of spread for dance competitions than for badminton games.
The IQR is the best measurement of spread for badminton games and dance competitions.
The IQR is a better measure of spread for dance competitions than for badminton games.
The standard deviation is the best measurement of spread for badminton games and dance competitions.
Answer:
The IQR is a better measure of spread for dance competitions than for badminton games.
Step-by-step explanation:
I understand from "Dance Competition box plot has interquartile ranges approximately between 60 and 130" that quartile 1 is at 60 and quartile 3 is at 130, then, the interquartile range (IQR) is 130 - 60 = 70.
Similarly, from Badminton box plot, quartile 1 is at 90 and quartile 3 is at 150, then, the interquartile range is 150 - 90 = 60.
IQR is a measure of statistical dispersion, that is, as IQR increase, spread increase.
The statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.
Recall:
Interquartile range (IQR) is the difference between the first quartile and the third quartile.From a box plot, the first quartile and the third quartile can be found at both ends of the rectangular box, which can be used to determine the IQR of a data set.IQR is a measure of spread.Since the data is plotted on a box plot, IQR can easily be gotten which is a measure of spread.
Therefore, the statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.
Learn more about interquartile range on:
https://brainly.com/question/9386254
Look at the image to answer.
what is the median value of data set shown on the line plot?
enter your answer in the box
Answer:
A Median is the middle data value of an ordered data set, so, that leads me to believe that the answer is 6
Hope this helps!!
Have a nice day :)
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Math the translation with correct graph for Triangle RST.
1 left and 3 up
I left and 3 down
3 night and 3 down
ANSWER ASAP please?!
Answer:
the 1 left 3 up one is the 3rd one first row
the 1 left and 3 down is the 2nd one first row
the 3 right and 3 down is the 1st one first row
mark branliest if possible thanks
40% of a number is 38 what is the number
Answer:
15.2
Step-by-step explanation:
Answer:
95
Step-by-step explanation:
38/2 = 19 = 20% x 5 = 100%
Solve for x.
9x - 1 = -11
Answer:
X=-1.1 repeated
Step-by-step explanation:
9x - 1= -11
+1= +1
9x = -10
Divide by 9 on both sides
X = -1.1 repeating
Answer:
- 1 1/9
Step-by-step explanation:
9x - 1 = -11
Add 1 to both sides to eliminate -1 on the left side
9x - 1 + 1 = -11 + 1
9x = -10
Divide both sides by 9 to isolate x
9x/9 = -10/9
x = - 1 1/9
There are 38,412 nurses registered in the region this year. There are about __________
less nurses than last year when there were 42,198 nurses.
a. 3,800 b. 3,900 c. 4,600
Answer:
A. 3,800
Step-by-step explanation:
42,198 - 38,412 = 3786
Final answer:
To find the decrease in the number of registered nurses from last year, subtract this year's nurse count, 38,412, from last year's, 42,198, which results in 3,786, rounded to 3,800 (option a).
Explanation:
The question asks to calculate the difference in the number of nurses registered this year compared to last year. The registered nurses this year are 38,412, and last year there were 42,198 nurses. To find the difference, we subtract the number of nurses this year from the number last year.
Number of nurses last year: 42,198
Number of nurses this year: 38,412
Difference = 42,198 - 38,412 = 3,786
The closest round number to the actual difference (3,786) is 3,800, which is option (a).
The average height of a 17-year-old girl in the US is about 64 inches with a
standard deviation of 2.8 inches. Without using a calculator, estimate the
probability of 17-year-old girl in the US that are between 58.4 inches and 69.6
inches.
the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .
Step-by-step explanation:
Step 1: Sketch the curve.
The probability that 58.4<X<69.6 is equal to the blue area under the curve.
Step 2:
Since μ=64 and σ=2.8 we have:
P ( 58.4<X<69.6 ) = P ( 58.4−64 < X−μ < 69.6−64 )=P ( 58.4−64/2.8 < X−μ/σ< 69.6−64/2.8)
Since Z = x−μ/σ , 58.4−64/2.8=−2 and 69.6−64/2.8=2 we have:
P ( 58.4<X<69.6 )=P ( −2<Z<2 )
Step 3: Use the standard normal table to conclude that:
P ( −2<Z<2 )=0.9544
Therefore, the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .
I need help finding X please
Hello
This is a right angle as you can see by the small square at the bottom. So this means that it is 90 degrees.
Because we already know part of the 90 degrees, we can do 90-50 degree which leave us with 40 degrees.
So as we look at 8x, it needs to equal 40
- 8x=40 divide both sides by 8
- x=5
Hope this helps!
What is the arc measure, in degrees, of AC on circle P below?
Answer:
174 degrees.
Step-by-step explanation:
Hope this helps!
Ruth Brown wants to borrow $2,600 for 90 days to pay her real estate tax. State Savings
and Loan charges 7.25% ordinary interest while Security Bank charges 7.5 % exact
interest.
(a) What is the interest of each loan?
(b) What is the maturity value of each loan?
(c) What is the maturity value of the loan if it has an ordinary interest?
(d) What is the maturity value of the loan if it has an exact interest?
(e) Where should they borrow the money?
Final answer:
To find the interest and maturity value of each loan, we can use the formula. For State Savings and Loans, the interest is $50.23 and the maturity value is $2,650.23. For Security Bank, the interest is $53.36 and the maturity value is $2,653.36. They should borrow the money from State Savings and Loans as it offers a lower interest rate and a slightly lower maturity value.
Explanation:
To find the interest and maturity value of each loan, we can use the formula:
Interest = Principal * Rate * Time
Maturity Value = Principal + Interest
(a) For State Savings and Loan, the interest is calculated as:
Interest = $2,600 * 0.0725 * (90/365) = $50.23
The maturity value is:
Maturity Value = $2,600 + $50.23 = $2,650.23
For Security Bank, the interest is calculated as:
Interest = $2,600 * 0.075 * (90/365) = $53.36
The maturity value is:
Maturity Value = $2,600 + $53.36 = $2,653.36
(b) The maturity value of each loan is $2,650.23 for State Savings and Loan and $2,653.36 for Security Bank.
(c) If the loan has ordinary interest, the maturity value is the same as in part (b) for each loan.
(d) If the loan has exact interest, the maturity value is the same as in part (b) for each loan.
(e) They should borrow the money from State Savings and Loan as it offers a lower interest rate and a slightly lower maturity value.
need help also.......
Answer:
Step-by-step explanation:
[tex]\frac{QT}{Q'T'}=\frac{1}{2}\\[/tex]
Scale factor:
1:2
13 feet = how many yards and feet
Answer:
13 feet= 4.33333 yards
Step-by-step explanation:
Answer:
4 yards and 1 foot
Step-by-step explanation:
I yard is 3 feet. 13 divided by 3 is 4 with the remainder of one foot.
7x+11x
12y-5y+19
3t+6z-4t+9z+z
19mn+6x^2+2nm
5x+3(x+1)+2x-9
Simplify each expression
Answer:
18 x
7 y+19
-t+16 z
6 x^2 +21 m n
10 x - 6
Step-by-step explanation:
Add the coefficients
Subtract the coefficients
Combine like terms
Combing like terms
Distribute the three into the parenthesis then combine the like terms.
Look at the attached picture ⤴
Hope it will help u........
Laurie needs at least 40 pounds of topsoil for a new flower bed. Each bag of topsoil is 200 ounces. Laurie determines that if she buys 3 bags of topsoil she will have enough for the flower bed. Is Laurie correct? Why or why not?
A.Laurie is not correct because the weight of 1 bag of topsoil is equivalent to only 10 pounds.
B.Laurie is correct because 200 ounces is more than 40 pounds.
C.Laurie is correct because the weight of 3 bags of topsoil is exactly 40 pounds.
D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.
help i guess
Answer:
D
Step-by-step explanation:
I tried a it's not right sorry bro
Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.
Weight & ConversionFrom the question, we are to determine if Larie is correct or not
From the given information,
Laurie needs at least 40 pounds of topsoil.
Then,
If she buys 3 bags of topsoil that weigh 200 ounces each, she will get 600 ounces of topsoil.
Now, convert 600 ounces to pounds
NOTE: 16 ounces = 1 pound
Then,
600 ounces = (600/16) pounds
600 ounces = 37.5 pounds
Hence, the 3 bags of topsoil will weigh 37.5 pounds of topsoil.
Since, Laurie needs at least 40 pounds of topsoil, then Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.
Learn more on Weight & Conversion here: https://brainly.com/question/11307613
8x-y=-6 2x-3y=4
Substitution ASAP
Answer:
down below
Step-by-step explanation:
Point Form:
(−1,−2)
Equation Form:
x=−1,y=−2
Answer:
(- 1; - 2)
Step-by-step explanation:
y = 6 + 8x
2x -3y = 4
2x - 3(6 + 8x) = 4
x = - 1
y = 6 + 8 × (- 1)
y = - 2
(- 1; - 2)
What number added to -31 results in a sum of O?
Answer:
31
Step-by-step explanation:
thats the absolute value
Ryan gets off the bus at 4: 09 PM. He rides the bus for 17 minutes to get home from school. At what time does Ryan get on the bus?
The table shows the side lengths and perimeters of four squares.
Side Length (x)
Perimeter (y)
4.5
18
8.5
34
10.25
41
13.75
55
Which equation represents the relationship between the side length, x, and the perimeter, y?
y = 4x
y = x + 13.5
y = x – 13.5
Answer: I believe that the answer is y=4x
Step-by-step explanation: y=4*4.5= 18
y=4*8.5= 34 I hope I explained it well.
Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
[tex]a^{2} + b^{2} = c^{2}[/tex]................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,
[tex]5^{2} + (x-1) ^{2} = x^{2}[/tex]
( [tex](a-b)^{2} = a^{2} + b^{2} -2ab[/tex] )
25 + ( [tex]x^{2}[/tex] + 1 - 2x ) = [tex]x^{2}[/tex]
25 + 1 -2x = 0 ( ∵ Eliminate [tex]x^{2}[/tex] in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
how many different teams containing 5 members each can be formed from a group of 9 players
Answer:
1 team with 4 extra people
Step-by-step explanation:
Final answer:
126 different teams can be formed from a group of 9 players.
Explanation:
To determine how many different teams containing 5 members each can be formed from a group of 9 players, we use the concept of combinations in mathematics.
The number of combinations is given by the formula for n choose r (nCr), which is n! / (r! * (n-r)!),
where
n is the total number of items to choose from,
r is the number of items to be chosen, and
! denotes factorial.
In this case, n=9 and r=5.
Thus, using the combinations formula, we get:
9C5 = 9! / (5! * (9-5)!)
= 9! / (5! * 4!)
= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)
= 126 different teams.
Therefore, 126 different teams can be formed from a group of 9 players.
Brian and Colin win some money and share it in the ratio 5:1. Brian gets £50. How much did Colin get?
Answer:
£10
Step-by-step explanation:
Divide the amount Brian gets by 5 to find the value of one part of the ratio.
£50 ÷ 5 = £10 ← value of 1 part of the ratio
Colin gets 1 part of the ratio, that is £10
Milan runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer: 4.8 miles
Step-by-step explanation:
6/55 = x/44
55x = 6(44)
55x = 264
x = 264/55 = 4.8 miles
a restaurante bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.
Answer:
$35.79
Step-by-step explanation:
Bill: $28.35
Tip of 20%: $5.67 ( 28.35*0.2)
Tax of 6.25%: $1.77 ( 28.35*6.25)
Total: $35.79
Answer:
$35.79
Step-by-step explanation:
28.35(0.2 tip)
=5.67
28.35(0.0625 tax)
=1.77
$28.35 + $5.67 tip + $1.77 tax
=$35.79
Hope this helps
please mark me brainliest it would help(✿◠‿◠)
Determine the volume of this prism.
Answer:
54 in cubed.
Step-by-step explanation:
Area of the base trapezoid 18 inches. Times the height of the prism so 3. So 18 times 3 is 54, Hope this helps!