Answer:
The greatest number of lunches he can pack so that each lunch has an equal number of sandwiches, apples, and granola bars is 12.
Each lunch will contain 3 sandwiches, 6 apples and 9 granola bars
Step-by-step explanation:
The greatest common divisor (GCD) of two or more numbers is the largest number by which these numbers can be divided, that is, it is the largest number that divides them all exactly.
In other words, the greatest common divisor of two numbers a and b is the largest number that divides a and divides b.
To find the greatest common divisor of two or more numbers, you start by breaking those numbers down into prime factors. In this case:
36=2²*3²
72 = 2³*3²
108 = 2²*3
The greatest common divisor is obtained by choosing only the prime factors common to the numbers, raised to the smallest exponent. That is, you choose only the common factors and those that are repeated must be raised to the minimum exponent.
The 2 appears as a prime factor in the three decompositions, whose minimum exponent is 2.
3 also appears as a common factor, whose minimum exponent is 1.
By doing the multiplication to get the greatest common divisor, you get:
2²*3=12
So the greatest number of lunches he can pack so that each lunch has an equal number of sandwiches, apples, and granola bars is 12.
To calculate how many lunches each item will contain, you simply divide the amount you have of each item by the most lunches Tyler can pack, 12.
Sandwiches: 36÷12= 3
Apples: 72÷12= 6
Granola bars: 108÷12= 9
Each lunch will contain 3 sandwiches, 6 apples and 9 granola bars
Jessica has 13 books in her library. She bought several books at a yard sale over the weekend. She now has 64 books in her library. How many books did she buy at the yard sale ?
Answer:
51 books
Step-by-step explanation:
Answer:
51
Step-by-step explanation:
Solve 22 + 2x + 7 = 0 ( using the Quadratic Formula. Select all that
apply.
O x=-1+iv
Ox=-1-16
O x=-1+6
O x=-1-16
Answer:
x = -29/2
Step-by-step explanation:
Evaluate the limit, if it exists. Show work.
lim→5 2−3−10 / 2−10
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form: 13/3
Decimal Form: 4.3
Mixed Number Form:4 1/3
Step-by-step explanation:
Hope this helps ;)
I need this please haha
Answer:
2/7
Step-by-step explanation:
so you put 7 in the equations like this
14(7)
you also keep the -2
SOL Math 4
English
Assy CTIL
ALUVE
Calculating Binomial Probabilities
A retailer sends scratch-off coupons to registered customers; 30% of the coupons will reveal a discount of 50%.
Before mailing, a manager selects 10 coupons at random from the stack of printed coupons and scratches to reveal
the discount
What is the probability that none of the coupons reveal a discount of 50%?
PUX = x) = Q ]p*1-2
*(1-p" -
Round to 3 decimal places.
Tu
Answer:
0.028
Step-by-step explanation:
its correct
There are about 1.61 kilometers in 1 mile. Let x represent a distance measured in kilometers and y represent the same distance measured in miles. Write an equation that relates a distance measured in kilometers and the same distance measured in miles.
Answer:
y=1.61x
if my thinking is not wrong that is the answer.
Aaron reads 9 books from the library each month for p months in a row. Write an
expression to show how many books Aaron read in all. Then, find the number of books
Aaron read if he read for 6 months.
1hool
Answer: 9p; 54 books
Step-by-step explanation:
if I have 17 boxes contain 23 chocolate bars each How many chocolate bars do I have in total?
Answer:
391
Step-by-step explanation:
17 x 23 = 391
Answer:
391 chocolate bars
Step-by-step explanation:
You just multiply 23 × 17!
The “Star Player” paradox haunts many pro athletes. For example, an NBA player may be highly rated, but their statistics don’t quite match up. For example, Lebron James in 2015 made 293 shots “outside the paint” (i.e., not under the basket). But his basket-scoring percentage this year when shooting at these distances was a dismal 34%. Roughly, how many of these baskets did he make?
Answer:
yay
Step-by-step explanation:
yayayayayayayayayayayayayayayayayayayayayayayayayayay
The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. x 0 1 2 3 4 5 Upper P (x )0.1664 0.3302 0.2933 0.1485 0.0369 0.0247 The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated?
The table below shows the number of hits for 25 and 50 repetitions.
Answer and Step-by-step explanation: Expected Value or Mean of a probability distribution is calculated as:
E(X) = μ = ∑xP(X)
In a game for the 2012 baseball season, expected value is:
[tex]\mu=0(0.1670)+1(0.3320)+2(0.2864)+3(0.1499)+4(0.0381)+5(0.0266)[/tex]
μ = 1.640
Standard Deviation (σ) of a probability distribution is:
[tex]\sigma=\sqrt{\Sigma (x-\mu)^{2}P(X)}[/tex]
[tex]\sigma = \sqrt{(0-1.640)^{2}(0.1670)+...+(5-1.640)^{2}(0.0266)}[/tex]
σ = 1.1883
The simulate experiment of 25 repetitions shows a table. With this table, it is possible to create a frequency table as follows:
x | f
0 | 4
1 | 7
2 | 11
3 | 2
4 | 1
With a frequency table, expected value is calculated as:
[tex]\mu=\frac{\Sigma (fx)}{\Sigma f}[/tex]
[tex]\mu=\frac{0*4+1*7+2*11+3*2+4*1}{25}[/tex]
μ = 1.56
Standard deviation, using a frequency table, is calculated as:
[tex]\sigma = \sqrt{\frac{n\Sigma (fx^{2})-(\Sigma fx)^{2}}{n(n-1)} }[/tex]
[tex]\sigma=\sqrt{\frac{25(0*4^{2}+...+4*1^{2})-(0*4+...+4*1)^{2}}{25(24)} }[/tex]
σ = 0.983
The same can be done for 50 repetitions.
The frequency table is
x | f
0 | 6
1 | 18
2 | 16
3 | 9
4 | 1
[tex]\mu=\frac{0*6+1*18+2*16+3*9+4*1}{50}[/tex]
μ = 1.62
[tex]\sigma=\sqrt{\frac{50(0*6^{2}+...+4*1^{2})-(0*6+...4*1)^{2}}{50(49)} }[/tex]
σ = 0.9775
Comparing expected values and standard deviations, observe that the bigger the repetition of the experiment, mean and standard deviation get closer to the theoretical statistical values. This is an example of the Law of Large Numbers, a theorem stating as the number of random, normally distributed values increase, their sample mean approaches the theoretical mean.
HELP 10 POINTS!! Find the slope of the line on the graph.
Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answer:
1/1 is the slope
Simplified slope=1
Step-by-step explanation:
To get to another point on the same line you go up 1 and to the right 1.
A square rug has an area of 81 square feet. What is the length of one side of the rug?
GET BRAILLYY AND SHOW WORK HURRYYY
Answer:
9
Step-by-step explanation:
81
[tex]\sqrt{81\\[/tex]=9
to check work
9*9=81
Hope this helps!
What is the factor of 3x2-9x-12?
pleaseeee help me guys !!
Answer:3x² - 9x - 12 =
3(x² - 3x - 4) =
3(x² + x - 4x - 4) =
3(x(x+1)-4(x+1)) =
3(x+1)(x-4)
Step-by-step explanation:
I need help asap no rocky
Mike runs cross country. He runs 7 miles in 56
minutes. He runs 20 miles in 160 minutes. If
he keeps the same pace, how long will it
take him to run 15 miles? Fill in the table with
the missing time for the 15-mile run, and
then graph the data.
Eli had mini-golf scores 0f -3, -4, and -3. What was his total score for three rounds
Answer:
add all........
Step-by-step explanation:
-3+(-4)+(-3)
-3-4-3
-10
The difference in the price of 2 TVs is $217.45. If one TV costs $450.50, which of the answer choices could represent the price of the other TV?
A.) $677.95
B.) $657.95
C.)$233.05
D.) $223.05
Answer:
C.
Step-by-step explanation:
450.50 - 217.45 = $233.05 :)
The cost of another TV is $677.95
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The difference in the price of 2 TVs is $217.45.
One TV costs = $450.5
So, 450 - Another Tv Cost = 217.45
Another Tv Cost = 217.45+ 450.5
Another Tv Cost = $677.95
Hence, the cost of another TV is $677.95
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
y2 – x; use x = 7, and y = 7
Step-by-step explanation:
[tex] {7}^{2} - 7 = 49 - 7 = 42 \\ so \: required \: answer \: is \: 42[/tex]
a gold bar weighs 12.6 kg. if there are 0.45 kilograms in 1 pound, then how much does the gold bar weigh in pounds?
Answer:
28pounds
Step-by-step explanation:
0.45=1pound
12.6
12.6/0.45=28pounds
Answer:
28 lb
I got help from the other answer
(I NEED THIS ASAP) Find m∠NML if m∠QML=115∘ and m∠NMQ=28∘.
Answer:
The answer is 143 degrees
Step-by-step explanation:
To find the answer you add ∠QML=115∘ and m∠NMQ=28∘ together so
115+28=143∘ so you answer would be 143∘.
HOPE THIS HELPS AND HAVE A GREAT DAY!!!
Avery bought 6.5 pounds of oranges. If the oranges are priced at $1.80 per pound, how much change did Avery
get back from a $20 bill.
What is an equivalent expression for 65 ÷ 63.
5 2/3 divided by 3/10
please answer as a whole number or fraction
Answer:
18 8/9
Step-by-step explanation:
make 5 2/3 an improper fraction. Then multiply it by the inverse of the next number. 17/3 x 10/3 = 170/9 or 18 8/9
[tex] = 5 \frac{2}{3} \div \frac{3}{10} [/tex]
[tex] = \frac{(3 \times 5 + 2)}{3} \div \frac{3}{10} [/tex]
[tex] = \frac{17}{3} \div \frac{3}{10} [/tex]
[tex] = \frac{17}{3} \times \frac{10}{3} [/tex]
[tex] = \frac{170}{9} [/tex]
[tex] = 18 \frac{8}{9} [/tex]
[tex]therefore \: , 5\frac{2}{3} \div \frac{3}{10} = 18 \frac{8}{9} [/tex]
Which grach shows a relationship that is directly proportional?
Plz hurry
can i get help plzz .....
Answer:
$0.30
Step-by-step explanation:
If you already spent $5 then you have $6 remaining so you will just divide 6 and 20 and you will get 0.3 so $0.30
Please include work!
Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
- 4x + 9y = 9
-8x + 10y = 10
Answer:
y = 1, x = 0
Step-by-step explanation:
multiply -4x +9y = 9 by -2 to get 8x -18y = -18
combine the two equations to get -8y = -8
divide both sides by -8 to get y = 1
plug in 1 as the y into one of the equations and solve to get x = 0
Answer:
(0,1)
x = 0
y = 1
Step-by-step explanation:
(-4x + 9y = 9)-8
(-8x + 10y = 10)4
32x - 72y = -72
-32x + 40y = 40
-32y = -32
y= -32/-32
y=1
-4x + 9(1) = 9
-4x + 9 = 9
-4x = -9 + 9
-4x = 0
x = 0/-4
x = 0
Please help me answer these !!!!!
-4(4x-9)=2x
I need help
Step-by-step explanation:
-4(4x-9)=2x
-16x+36= 2x
-16x - 2x = -36
-18x = -36
x = 2
Answer:
x = 2
Step-by-step explanation:
-4 (4(2)-9)=2x
-4 (8-9) = 2x
-4 (-1) = 2x
4 = 2x
divide by 2
2 = x
Choose the point-slope form of the equation below that represents through the points (-3,2) and (2,1)
Answer:
-1/4
Step-by-step explanation:
2-1 over -3-1 = 1/-4