Answer:
The answer is 8
Step-by-step explanation:
This problem is asking for what I call the GCF. (Which stands for Greatest Common Factor) How do we know this? Well, it says the groups have to be so no marbles are left over. So it is asking for a factor all of these numbers share. So it could be 4, 2, or 8, since these are the numbers you can evenly divide these numbers by. It also asks for the greatest number of those groups. Well, eight is the greatest of the factors. Therefore, it is the GCF of 24, 96, 16, and 32.
Sentence form: Since this is a word problem, you just gotta have a sentence. It would be "The greatest number of groups John can make without anything left over from these marbles is 8." Or something along those lines.
Hope you found this helpful! I'm a noob at this so I might have worded something weird :P
The greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 4.
What is GCF (greatest common factor)?GCF or greatest common factor is the common number which all the term has in a group of terms. It is the number which can divide each number of the group.
Here, John has 24 blue, 96 green, 16 gray, 16 red and 32 white marbles. He wants to place them in identical groups without any marbles left over.
Now, To find such identical groups, we have to find the greatest common factor of all these numbers. The factors of all the numbers are,
24=2×2×2×3
96=2×2×2×2×2×3
16=2×2×2×2
16=2×2×2×2
32=2×2×2×2×2
Here, the 2×2×2 is the common factor which is appears in all the terms.
Thus, the greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 8.
Learn more about the GCF here;
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john simplified 2 square root of 96 to get an answer of 4 square root 24
Explain the error that john made and then correct his mistake
Answer:
Step-by-step explanation:
2√96 = 2* √(4 * 24)
= 2*2√24
= 4√24
That is equal to 2√96 but a simpler result is:
4√24 = 4 * √4*√6
= 4 *2 √6
= 8√6
Help plzz need the answer and that explanation plz don't send a file
Answer:
C.
Step-by-step explanation:
None of these numbers have perfect square roots, but is the closest to the point on the number line. The square root of is 6. 244997998398398. Rounding that number we get approximately 6.3.
Car rental agencey a charges $50 per day plus 10 cents per mile driven agency b charges $20 per day plus 30 cents per mile driven for a one day rental it is cheaper to rent from ange a if you drive more
Answer:
D) 150 miles.
Step-by-step explanation:
The computation is shown below:
Given that
The Cost of the car rental agency of A is $50 + 0.10 per mile
The Cost of the car rental agency of B is $20 + 0.30 per mile
Here we assume the per mile be x
Now we equate these equations
SO,
$50 + 0.10x = $20 + 0.30x
$30 = 0.20x
x = 150
SO it would be more than 150 miles
Find the slope of a line that passes through the points (7, 3) and (5, 1)
Answer:
slope = 1
Step-by-step explanation:
Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope. Substitute the x and y values of (7,3) and (5,1) into the formula and solve like so:
[tex]m = \frac{(1)-(3)}{(5)-(7)} \\m = \frac{1-3}{5-7} \\m = \frac{-2}{-2} \\m = 1[/tex]
So, the slope of the line is 1.
Help! This is my math problem
Answer:
Step-by-step explanation:
The problem is that you cannot be sure that either triangle (it actually requires both of them) contain a right angle
What you have so far is SSA which is not one of the fundamental congruency triangles. In order to be certain of congruency the angle must be made up of the 2 given sides. You are certain that SAS will produce congruency. You are not so sure of r SSA. There are proofs of this on the internet. I urge you to look into it. Though not long, following it step by step takes a lot of patience. A cup of strong coffee is a good idea.
i need help wit all of this
Javon has a credit card with a $1,583 balance. His interest
rate is 8.8%. If he does not pay for 3 years, how much
Interest does he owe?
Determine the area of the trapezoid.
Answer:
a your answer is 87.5
Step-by-step explanation:
( (9+16)/2 ) (7)
add 9 and 16 and then divide by 2 and then mutrilply by 7
HELP PLEASE!!! WILL CROWN BRAINLIEST....
If you don't know please don't answer....
2. Evaluate.
a) Write the next 2 terms in the pattern. Then write the pattern rule.
–243, 81, –27, 9, _____, _____
Pattern rule: Start at _____. __________________________ each time.
Answer:
Pattern With Next 2 Terms: –243, 81, –27, 9, -3, 1
Pattern Rule: Start at -243. Divide by -3 each time.
Hurry please and show your work! Thanks! Useless answers will be reported!
Veterinary doctors marked 30 deer and released them. Later on, they counted 150 deer,
12 of which had marks. To the nearest whole number, what is the best estimate for the
deer population?
Answer:
375
Step-by-step explanation:
12/150 is 0.08, which is 8%
this mean 8 perfect of the population were marked
8 percent is 30 deers
30/0.08=375
Mallory walks 7/10 of a mile in 1/5 hour. What is her walking speed in miles per hour?
Answer:
Here walking speed is 3.5 miles per hour
Step-by-step explanation:
Here, we want to calculate the average speed in miles per hour
mathematically, we know that;
speed = distance/time
from the question, the distance is 7/10 miles
The time is 1/5 hour
Thus we have;
Speed = 7/10 divided by 1/5
speed = 7/10 * 5/1 = 7/2 = 3.5 miles per hour
Find the volume of the prism with a height of 3 ft and a base of 2 ft and 4 ft
Answer:
52 I'm pretty sure
Step-by-step explanation:
3x2= 6
3x4=12
4x2=8
8+12+6= 26
26X2=52
which table could represent a function
The table that could represent a function is given by the values
x = { 1 , 2 , 3 , 4 } and f ( x ) = { 2 , 4 , 6 , 2 } where the there exists one value in the range for every domain value.
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the values of x are given as
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
So , when x = { 1 , 2 , 3 , 4 }
The values of f ( x ) should be distinctive and no values of x should have different values for f ( x )
And , f ( x ) = { 2 , 4 , 6 , 2 } represents a function
Hence , the function is f ( x ) = { 2 , 4 , 6 , 2 }
To learn more about function rule click :
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Please help me, I am lost from 3.2 going down
Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall. Sean's video game system measures 1 inch longer on all sides. What is the combined volume of the two game systems?
Answer:
Combined volume of the two game systems [tex]=416[/tex] cubic inches
Step-by-step explanation:
Volume of a cuboid = length × breadth × height
Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.
So,
Volume of Soham's video game system = 8 × 6 × 2 = [tex]96[/tex] cubic inches
As Sean's video game system measures 1 inch longer on all sides,
the video game system measures [tex]8+2=10[/tex] inches long, [tex]6+2=8[/tex] inches wide, and [tex]2+2=4[/tex] inches tall.
Volume of the video game system = 10 × 8 × 4 = [tex]320[/tex] cubic inches.
Therefore,
Combined volume of the two game systems = [tex]96+320=416[/tex] cubic inches
10)
Which expression represents how many years are in x months?
A
)
12x
B)
12 + x
12
12
D)
х
Answer:
C . x/12
Step-by-step explanation:
PLS HELP (image is down below)
Answer:
D) 30
Step-by-step explanation:
Hope this helps
Answer:
Down below
Step-by-step explanation:
easy way to get all possible answers is to multiply the number of choices you have.
for color there are 5 choices. color = c
for size there are 3 choices. Size = s
for Material there are 2 choices. Material = m
[tex]c*s*m\\5*3*2\\30=total[/tex]
your answer would be D. sorry if this is incorrect.
Lillian purchased a guitar from Smash Music Stores. It regularly sold
for $670, but was on sale at 10% off. She paid 8% tax. She bought it on
the installment plan and paid 15% of the total cost with tax as a down
payment. Her monthly payments were 558 per month for one year.
a. What is the discount?
b. What is the sale price?
What is the sales tax?
d. What is the total cost of the guitar?
e. What is the down payment?
f. What is the total of the monthly payments?
g. What is the total she paid for the guitar on the installment
plan?
h. What is the finance charge?
Answer:
Step-by-step explanation:
What is the interquartile range of the data set?
Sam made 30% of goals in his last 6 games. The points his team scored in the games were 112, 89, 95, 77 and 103 points. On average how many goals did Sam score in each of the last 6 games.
Answer:
28.56
Step-by-step explanation:
First we need to calculate the mean average of the numbers
Average = 112+89+95+77+103/5
Average = 476/5
Average = 95.2
If Sam made 30% of goals in his last 6 games, then on average, amount made is expressed as;
Average of the last six games = 30% of 95.3
Average of the last six games = 0.3 * 95.2
Average of the last six games = 28.56
Hence the required point average is 28.56
Marius and her 19 friends share 99$? how much will each person get if she shares it equally amongst her and her friends?
Answer:
Each would get $4 50
Step-by-step explanation:
Marius + her friends = 20 persons
99÷20 = 4.50
FORT JEFFERSON The outer wall of Fort Jefferson, which was originally constructed in the mid-1800s, is in the shape of a hexagon with an area of about 466,170 square feet. The length of one side is about (Hint make a quick sketch) 477 feet. The inner courtyard is a similar hexagon with an area of about 446,400 square feet. Calculate the length of a corresponding side in the inner courtyard to the nearest foot. O A. About 467 ft. O B. About 437 ft. O C, About 487 ft. O D. About 457 ft.
Answer:
D to the nearest foot
Step-by-step explanation:
Ratio problem:
outside wall 477 is to the whole area 466,170 as
inside wall ??? is to the inner courtyard 446,400
477 / ??? = 466170 / 446400 solve for ???
(477)(446400) / 466170 = ???
456.77 ft = ???
6W = 60
A. 6
B. 10
C. 12
D. 30
Answer:
B) 10
Step-by-step explanation:
6W = 60
divide both sides of the equation by 6:
6W/6 = 60/6
W = 10
Can somebody please help
i honestly don't know :-l
You roll a number cube one time. What is the probability that you roll a 1 or 3? Enter your answer as a
fraction in simplest form.
The probability that you roll 1 or 3 is
Answer:
well, if the number cube has 4 sides then the answer is 1/2
A tennis ball has a diameter of 2.7 inches. What is the approximate volume of the tennis ball
82.4
61.8
10.2
7.6
Answer:
volume = 10.2 in³
Step-by-step explanation:
r = 2.7/2 = 1.35
volume = 4/3πr³ = 4/3(3.14)(1.35³) = 10.2 in³
The table shows a relation. Which statement about the relation is correct?
Answer:
c: the relation is not a function because one input has more than one output
Justin used a container shaped like a cylinder for his dog's food. The dimensions of the container are shown below. What is the measurement closest
to the volume of the container in cubic inches?
Find the value of X.
Answer:
x=5
Step-by-step explanation:
13x+3= 15x-7
2x=10
x=5
The length of a rectangle is 5 centimeters less than 2 times the width.
a. Write a polynomial expression that represents ( 2 points )
the area of the rectangle.Simplify the expression.
Given:
The length of a rectangle is 5 centimeters less than 2 times the width.
To find:
The polynomial expression that represents the area of the rectangle, then simplify the expression.
Solution:
Let [tex]x[/tex] be the width of the rectangle.
The length of a rectangle is 5 centimeters less than 2 times the width.
2 times the width = [tex]2x[/tex]
5 centimeters less than 2 times the width = [tex]2x-5[/tex]
Length of the rectangle = [tex]2x-5[/tex]
We know that, the area of a rectangle is:
[tex]A=length \times width[/tex]
[tex]A=(2x-5)\times x[/tex]
[tex]A=2x^2-5x[/tex]
Therefore, the required polynomial expression is [tex]A=(2x-5)\times x[/tex] and its simplified form is [tex]A=2x^2-5x[/tex].