153 apples, 255 oranges, 357 pears are to be distributed to a group of children. Suppose each child in the group receives an equal number for each type of fruit.
a) Find the least possible number of children in the group
b) the maximum possible number of children in the group
c) the least possible number of apples, oranges and pears each child can receive
d) the maximum possible number of apples, oranges and pears each child can receive.
Answer:
Below in bold.
Step-by-step explanation:
a) we need the grestest common factor of theses values
153 = 3 * 3 * 17
255 = 3 * 5*17
357 = 3 * 7 * 17
The GCF = 3 * 17 = 51.
a) the least possible number of children is 3.
b) The maximum number is 51 ( as 51 is the GCF of the given values).
c) the least possible number of fruits is when b) occurs, that is:
153/51, 255/51 and 357/51
= 3 apples , 5 oranges and 7 pears.
d) the maximum number of fruits is :
153/3, 255/3 and 357/3
= 51 apples , 85 oranges and 119 pears.
Answer:
a) 3 children
b) 51 children
c) 3 apples, 5 oranges and 7 pears
d) 51 apples, 85 oranges and 119 pears
Step-by-step explanation:
lnc - Least possible number of children in group
mnc - maximum possible number of children in group
a - Apples
o - Oranges
p - Pears
a = 153
o = 255
p = 357
a)
To solve this, find the highest divisor for the apples, oranges and pears.
[tex]a = \frac{153}{51} [/tex]
[tex]a = 3[/tex]
[tex]o = \frac{255}{85} [/tex]
[tex]o = 3[/tex]
[tex]p = \frac{357}{119} [/tex]
[tex]p = 3[/tex]
In order for each child to get 51 apples, 85 oranges and 119 pears, there would need to be a minimum of 3 children in the group.
[tex]lnc \: = 3[/tex]
b)
To solve this, find the lowest divisor for the apples, oranges and pears.
[tex]a = \frac{153}{3} [/tex]
[tex]a = 51[/tex]
[tex]o = \frac{255}{5} [/tex]
[tex]o = 51[/tex]
[tex]p = \frac{357}{7} [/tex]
[tex]p = 51[/tex]
In order for each child to get 3 apples, 5 oranges and 7 pears, there would need to be a maximum of 51 children in the group.
[tex]mnc = 51[/tex]
c)
In a group of 51, each child will get:
- 3 apples
- 5 oranges
- 7 pears
d)
In a group of 3, each child will get
- 51 apples
- 85 oranges
- 119 pears
3n + 2 = 8 find answer for n
Answer:
[tex]\boxed{\sf{n=2}}[/tex]Step-by-step explanation:
To solve for n, isolate it on one side of the equation.
3n+2=8First, you have to subtract by 2 from both sides.
[tex]\Longrightarrow: \sf{3n+2-2=8-2}[/tex]
Solve.
Subtract the numbers from left to right.
[tex]\sf{8-2=6}[/tex]
Rewrite the problem.
⇒ 3n=6
Divide by 3 from both sides.
→ 3n/3=6/3
Solve.
Divide the numbers from left to right.
→ 6/3=2
[tex]\Longrightarrow: \boxed{\sf{n=2}}[/tex]
Therefore, the correct answer is n=2.I hope this helps! Let me know if you have any questions.
Answer:
n = 2 or.... n is 2
Step-by-step explanation:
When simplifying to find n, we do something to one side, but it also must be done to the other side. First, to get n alone, we would subtract 2. When doing this, we do it for both sides:
3n + 2 = 8
-2 -2
3n = 6
Now, we divide n by 3 becuase right now it says 3 times n. We again do the same for both sides:
3n = 6
/3 /3
n = 2
So the answer is n = 2
n is 2.
What is the purpose of consumer rights?
Answer:
Consumer rights and consumer protection law provides a way for individuals to fight back against abusive business practices. These laws are designed to hold sellers of goods and services accountable when they seek to profit by taking advantage of a consumer's lack of information or bargaining power.
Step-by-step explanation:
Individuals can use consumer rights and consumer protection laws to fight back against unfair company practices.
What are consumer rights?Consumer rights refer to a corpus of legislation that governs what manufacturers of goods must do to safeguard their consumers from damage.
These statutes arose from a succession of court battles, and they have been influenced by the outcomes of those battles.
These rules are intended to hold retailers and service providers responsible when they seek to benefit from a consumer's lack of knowledge or bargaining power.
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Ay a benefit concert eight bands have volunteered to perform but there is only enough time for five of the bands to play how many lineups are possible
Using the permutation formula, as the order is important, it is found that 6720 lineups are possible.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 5 bands are selected from a set of 8, hence:
[tex]P_{8,3} = \frac{8!}{3!} = 6720[/tex]
6720 lineups are possible.
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What is the probability, to the nearest hundredth, that a point chosen randomly inside the rectangle is in the circle?
Answer:
Answer D (.22)
Step-by-step explanation:
If Brainly would stop deleting my answer, your answer is D (.22).
PLEASE HELP ITS A MATH PROBLEM !!! A smart phone costs $800 and loses 2/5 of its value every year.
How much is the phone worth after 3 years?
Question options:
$69.12
$288.00
$798.80
$172.80
* i will award brainlist
Answer:
$172.80
Step-by-step explanation:
The phone cost $800
Decreases by 2/5 every year. So the cost would be 3/5 (instead of doing 800 - 800 *2/5 its easier to just do 800*3/5)
Here is a equation for this question:
[tex]800* (\frac{3}{5})^{t}[/tex]
t = time in years
So we can plug in 3 for t
[tex]800* (\frac{3}{5})^{3}[/tex]
[tex]800* (\frac{27}{125})[/tex]
[tex]172.8[/tex]
So the phone is now worth $172.80
Hope this helps! :)
what is the best game that you think of
Answer:
The best game I can think of is the game of life
Step-by-step explanation:
Simply because its fun to have different experiences each time you play and can chose whatever
Answer:
Mobile- Animal crossing pocket camp
Step-by-step explanation:
I love this game :3
It's really relaxing and a fun way to pass a few minutes. -Crispin
Lisa is currently taking physics as one of her electives in school. her grade at the end of the year is determined by the average of four exams, each worth 100 points. on her first test she got an 84, on her second she got a 92, and on her third an 80. what must she score on her fourth exam to get exactly 80% in the course? a. 60 b. 64 c. 84 d. 85 please select the best answer from the choices provided a b c d
The score which Lisa should get in her fourth exam of school to get exactly 80% in the course is 64.
What is the average of a group of numbers?The average of the group of numbers is the ratio of the sum of all the numbers of the group to the total number of the group.
Lisa is currently taking physics as one of her electives in school.
Her grade at the end of the year is determined by the average of four exams, each worth 100 points.
On her first test, she got an 84, On her second, she got a 92, On her third, an 80.She got exactly 80% in the course. Let she scores x marks in her fourth exam. Thus,
[tex]\dfrac{84+92+80+x}{4}=80\\256+x=80\times4\\x=320-256\\x=64[/tex]
Hence, the score which Lisa should get in her fourth exam of school to get exactly 80% in the course is 64.
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Cason read an article claiming that 98.6\%98.6%98, point, 6, percent of births in his country happen in a hospital, 0.5\%0.5%0, point, 5, percent in a home, 0.4\%0.4%0, point, 4, percent in a birthing center, and 0.5\%0.5%0, point, 5, percent in other places. He wondered if the locations of births at his state followed this distribution, so he took a random sample of 200020002000 births and recorded where they happened. Here are his results:
Location Hospital Home Birthing center Other
Births 196819681968 141414 888 101010
He wants to use these results to carry out a \chi^2χ
2
\chi, squared goodness-of-fit test to determine if the distribution of birthing locations in his state disagrees with the claimed percentages.
What are the values of the test statistic and P-value for Cason's test?
Answer:
D) X^2 = 1.608;
P-value > 0.25
Step-by-step explanation:
Correct on Khan
Can anyone help please? i need this now look at the picture below and write down Explaining how rays AB and AC form both a line and an angle.
Answer:
The points A,B, and C are collinear, so both segments AB and AC form one straight line.
Since segments AB and AC have a common point A so they form an angle BAC
1. Mrs. Berger is making a circular tablecloth for her table. Her table has a radius of 3 feet. Which measurement is closest to the amount of fabric will Mrs. Berger needs to buy to create the tablecloth if it fits perfectly on the table? A. 28.27 ft2 B. 9.42 ft2 C. 18.85 ft2 D. 113.1 ft?
Answer:
A. 28.27 ft^2
Step-by-step explanation:
You're looking for the area of the circle.
Area of circle = [tex]\pi r^{2}[/tex]
[tex]\pi (3)^{2}[/tex]
= 28.27 ft^2
43/57 to a percentage
Answer:
our fraction is 75.438596491228/100, which means that 43/57 as a percentage is 75.4386%.
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
To convert a fraction to a percentage, multiply the fraction or result by 100. [tex](\frac{43}{57})*100 = 75.44%[/tex] = 75%
*note that 75.44 is rounded, the original number is longer.
need help with question 16
I'm not sure what the answer is but read some books and study also I believe relaxing music helps with homework struggles
How many combinations with repetition are allowed if n = 4 and r = 3
a. 20
b. 10
c. 27
d. 9
The number of combinations with repetition that are allowed if n = 4 and r = 3 is given by: Option A: 20
How many k-element combinations of n objects, with repetition can be formed?The number of k-element combinations of n objects, with repetition is:
[tex]\overline{C}_{n,k} = \: ^{n + k-1}C_{k} = \dfrac{(n+k-1)!}{k! \times (n-1)!}[/tex]
For this case, we're given that:
n = 4k = 3 (the question uses the notation 'r' instead of 'k')Thus, we get:
[tex]\overline{C}_{n,k} = \dfrac{(n+k-1)!}{k! \times (n-1)!} = \dfrac{(4+3-1)!}{3! \times (4-1)!} \\\\\overline{C}_{n,k} = \dfrac{6!}{3!. 3!} = 20[/tex]
Thus, the number of combinations with repetition that are allowed if n = 4 and r = 3 is given by: Option A: 20
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WHATS THE ANSWER, pls
answer.
1 Wendi is 6 years older than Zaviel. The sum
3
of their ages is 30. Which of these systems
of equations can be used to find Wendi's age
(w) and Zaviel's age (z)?
A W = 6z
с w = 6z
W + z = 30
WZ = 30
B
w = 2 + 6
D
W = Z + 6
W + z = 30
WZ = 30
D
W = Z + 6
W + z = 30
WZ = 30
Sure hope this helps you and pls mark me brainiestWhich function has zeros at x = 10 and x = 2? f(x) = x2 – 12x 20 f(x) = x2 – 20x 12 f(x) = 5x2 40x 60 f(x) = 5x2 60x 100
The function which has zeros at x = 10 and x = 2 is [tex]\rm f(x)=x^2-12x+20[/tex].
What are the zeros of the function?The zero of a function is any replacement for the variable that will produce an answer of zero.
Graphically, the real zero of a function is where the function's graph crosses the x-axis; that is, the real zero of a function is the x-intercept (s) of the function's graph.
The function which has zeros at x = 10 and x = 2 is;
[tex]\rm f(x)=(x-10)(x-2)\\\\f(x)=x(x-2)-10(x-2)\\\\f(x)= x^2-2x-10x+20\\\\f(x)=x^2-12x+20[/tex]
Hence, the function which has zeros at x = 10 and x = 2 is [tex]\rm f(x)=x^2-12x+20[/tex].
To know more about the function click the link given below.
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Answer: A. f(x) = x^2 – 12x + 20
right on edge 2023 :)
Can someone please help me with this question?
Answer:
150-179 minutes
Step-by-step explanation:
The most common interval (the tallest graph) of minutes students spent watching watching TV?
The correct answer should be 150-179 minutes because it's the most common, meaning that a lot of students spent 150-179 minutes watching TV.
Hope this helps!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As per the given graph we can observe the number of students which watched TV for certain intervals.
According to question, we have to find the common interval of minutes students spent watching TV~
That means : we have to find the time interval in which most of the students prefer to watch TV ~
Hence, the most common interval is :
[tex]\qquad \tt \dashrightarrow \:150 - 179 \: \: \: minutes[/tex]
Perform the operation. (9x^2-8)+(9x^2+9x+3)
Answer:
The answer is -5
Step-by-step explanation:
Hope it helps
Answer:
Step-by-step explanation:
Like terms have same variable with same power. Combine the like terms. Add / subtract the coeffiecient of the like terms.
9x² and 9x² are like terms
-8 and 3 are like terms.
9x² - 8 + 9x² + 9x + 3 = 9x² + 9x² +9x - 8 + 3
= 18x² + 9x - 5
Which of the following are solutions to the quadratic equation. Check all that apply. x^2+x-12=0
Erica likes to ride her horse on a 1/2 mile trail. On Monday, Erica rode her
horse a total of 7/2 miles. On Tuesday, she rode 3/4 of the distance that
she rode on Monday. How far did Erica ride her horse on Tuesday?*
Answer:
21/8 or 2 5/8
Step-by-step explanation:
7/2 miles is equal to 3 1/2 mile trail, or also a 3 2/4 mile trail. You then multiply 3 2/4 and 3/4 and get 2 5/8 or 21/8.
PLEASEEE HELP !!!!!!!!!!
what does x equal to?
5(x - 4) + 12 = 17
Answer:
x is 5
Step-by-step explanation:
First of all, expand the bracketsThis gives [tex]5x-20+12=17[/tex]Add 20 to both sides[tex]5x+12=37[/tex]Subtract 12 from both sides[tex]5x=25[/tex]Divide both sides by 5[tex]x=5[/tex]Answer:
x = 5Step-by-step explanation:
In the question we're given with an equation that is 5(x - 4) + 12 = 17 and we are asked to find the value of x .
Solution : -
[tex] \longmapsto \: 5(x - 4) + 12 = 17[/tex]
Step 1 : Solving parenthesis :
[tex] \longmapsto \:5x - 20 + 12 = 17[/tex]
Step 2 : Adding 20 on both sides :
[tex] \longmapsto \:5x - \cancel{20 }+ 12 + \cancel{20 }= 17 + 20[/tex]
[tex] \longmapsto \:5x + 12 = 37[/tex]
Step 3 : Subtracting 12 from both sides :
[tex] \ \longmapsto \: \:5x + \cancel{ 12} - \cancel{12} = 37 - 12[/tex]
[tex] \longmapsto \:5x = 25[/tex]
Step 3 : Dividing by 5 on both sides :
[tex] \longmapsto \: \frac{ \cancel{5}x}{ \cancel{5} } = \cancel\frac{25}{5} [/tex]
[tex] \longmapsto \: \red{ \boxed{\bold{x = 5}}}[/tex]
Therefore , value of x is 5Verifying :
We are verifying our answer by substituting value of x in Given Equation :
5(x - 4) + 12 = 175 ( 5 - 4 ) + 12 = 175 ( 1 ) + 12 = 175 + 12 = 1717 = 17L.H.S = R.HS.Hence, Verified.Therefore , our value for x is correct .
#Keep LearningLouise buys five raffle ticket out of 1000 sold.she does not win the first prize.what is the probability that she will win the second prize
Answer:
1 in 999 i guess
Step-by-step explanation:
8. The Computer Shop sells computers. The shop has a fixed the shop has a fixed cost of $1500 per
week. Its average cost per computer is $649 each, and the average selling price is
$899 each.
a. Write the linear cost function
b. Write the linear revenue function
I
c. Find the cost of selling 37 computers per week
d. Find the revenue from selling 37 computers
e. Find the break-even point.
The linear cost function of the computer shop in this scenario will be C(x) = 649x + 1500.
How to calculate the functions?From the information, the linear cost function is C(x) = 649x + 1500 and the linear revenue function will be R(x) = 899x.
The cost of selling 37 computers will be:
C(x) = 649x + 1500
C(x) = 649(37) + 1500
C = 25513
The revenue from selling 37 computers will be:
R(x) = 899x.
R = 899(37)
R = 33263
The breakeven point will be:
649x + 1500 = 899x
899x - 649x = 1500.
250x = 1500
x = 1500/250
x = 6
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A bee's wings can beat about 6.48 * 10 ^ 5 times an hour. How is this number written in standard form?
Answer:
648000 times/hr
Step-by-step explanation:
6.48 * 10^5
Move the decimal 5 times to the right.
The answer you should get is 648000 times per hour.
4.
Neville saw this car for sale.
He got a discount of 25% off the price of the car.
He paid £7200 for the car.
Work out the price of the car before the discount.
The Answer (maybe) :
Hello! good morning or night where ever you are.
I'm here to help with your question :)
I believe the answer is 9600
Step-by-step explanation:
[tex]75/100[/tex] [tex]x =[/tex] [tex]7200[/tex]
[tex]0.75[/tex] [tex]x = 7200[/tex]
[tex]x =[/tex] [tex]7200/0.75[/tex]
[tex]x =[/tex] [tex]9600.[/tex]
The previous price before the discount = 9600 pounds.
Checking:
[tex]25%[/tex]% [tex]of[/tex] [tex]9600[/tex]: [tex]2400[/tex]
[tex]9600 -[/tex][tex]2400=7200[/tex]
Answer/ Writer's note: I'm truly sorry if this incorrect :(
Signed - [tex]Lilo[/tex]
A store sold 650 bicycles last year. This year the store sold 572
bicycles. What is the percent decrease in the number of bicycles sold from last year to this year?
solve for the value of x. Show your Solution. ( 5 points ) Given ∆RPA and ∆NUJ, RP = 2× + 5 and
NU = 13
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As we can see in the given figure, The two triangles are congruent to each other by many criterias, so we can infer that Their corresponding sides are of equal length.
That is :
[tex]\qquad \tt \dashrightarrow \:2x + 5 = 13[/tex]
[tex]\qquad \tt \dashrightarrow \:2x = 13 - 5[/tex]
[tex]\qquad \tt \dashrightarrow \:2x = 8[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 8 \div 2[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 4[/tex]
Therefore, value of x is 4
Answer:
x = 4
Step-by-step explanation:
the point here is congruent triangles.
according to the image,
2x + 5 = 13 <---- subtract constants
2x = 13 - 5 = 8 <--- finalize
2x = 8 <----------- divide both sides by 2
2x / 2 = 8 / 2 <-- finalize
x = 4 <--- answer
Normal Distributions
According to the College Board, the probability that a student forgets to bring their ID with them when they take their SAT is 3%. A random sample of
500 students was selected. Let p-hat be the proportion of the sample which forgot their ID.
1. What is the mean of the sampling proportion?
2. What is the standard deviation of the sampling proportion?
(Round to the nearest thousandth. )
The mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have:
p = 0.03
n = 500 students
[tex]\rm {\hat p} - Normal[/tex]
So the mean:
[tex]\rm \mu _\hat p \ = \ p \ = \ 0.03[/tex]
For standard deviation:
[tex]\rm \sigma_p = \sqrt{\frac{pq}{m} }[/tex]
q = 1 - p = 1 - 0.03 = 0.97
[tex]\rm \sigma_p = \sqrt{\frac{0.03\times 0.97}{500} }[/tex]
[tex]\rm \sigma_p = 0.008[/tex]
Thus, the mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.
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