A student claims that the HCF/GCF/HCD/GCD of two numbers must be less than the two numbers. Do you agree? If not, give a counter example to disproof it.
Answers
Answer:
No of course not
Step-by-step explanation:
For example, the GCF of 8 and 16 is 8. The GCF just has to be the greatest factor of both numbers, it doesn't have to be smaller.
Answer:
what i don't understand
Step-by-step explanation:
Related Questions
9)
(0.03)(0.004) =
A)
0.12
B)
0.012
C)
0.0012
D)
0.00012
Answers
Answer:
D.
Step-by-step explanation:
You got the answer right it D
(0.03) multiplied by (0.004) is 0.00012
Multiply 3 by 4 and add all the zeros together
So 0.00012
TeeVee Electronics, Inc., makes console and wide-
screen televisions. The equipment in the factory allows +
for making at most 450 console televisions and 200
wide-screen televisions in one month. It costs $600 per
unit to make a console television and $900 per unit to
make a wide screen television. The profit on each
console television is $125 per unit, while the profit for
each wide screen television is $200 per unit. During the -
month of November, the company can spend $360,000 to make these televisions. To
maximize profits, how many of each type should they make?
LET
Answers
Answer:
First we need to put all the given information in a table, that way we'll express it better into inequalities.
Cost Production Max.
Console screen (x) $600 450
Wide-screen (y) $900 200
$360,000
We have:
\(600x+900y \leq 360,000\)
Because they can't spend more than $360,000 in production.
\(x\leq 450\\y\leq 200\)
Because the number of television is restricted.
The profit function is
\(P(x,y)=125x+200y\) (this is the function we need to maximize).
First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).
Now, we test each point in the profit function to see which one gives the highest profit.
For (300,200):
\(P(300,200)=125(300)+200(200)=37,500+40,000=77,500\)
300 console screen and 200 wide screen give a profit of $77,500.
For (450,100):
\(P(450,100)=125(450)+200(100)=56,250+20,000=76,250\)
450 console screen and 100 wide screen give a profit of $76,250.
Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,
helpppppppppppppppppppppppppppp
Answers
This one equals to 104
The rest equal 30 .
Answer:
(2 × 60 ÷ 30) × (24 + 2)
Step-by-step explanation:
because the total of (2 × 60 ÷ 30) × (24 + 2) is,
4 × 26 = 104
Could someone show me the streamline for this problem? The answer is 909, but I'd like to know how
1000-100+10-1
Answers
Answer:
1000-100=900,900+10=910,910-1=909
Step-by-step explanation:
Hey there!
1,000 - 100 + 10 - 1
1,000 - 100 = 900
= 900 + 10 - 1
900 + 10 = 910
= 910 - 1
= 909
Thus that’s why 1,000 - 100 + 10 - 1 is most likely equal to 909
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
On a snowy day 85% of the students of Wilson high school were present. If 572 of the students were present, how many students were enrolled at the school?
Answers
Answer:
673
Step-by-step explanation:
okay so uh this is my way and the answer works so like yea teachers dont show like this but ii figured this works
okay so
85/100 = 572/?
so if you divide 85 by 85 its gonna equal 1 and 1 times 100 is gonna be 100
useing the same concept, it should be the same with 572 , but instead of divideing by 572, divide by 85.
basically 572/85
okay now thats gonna give you 6.72941176471 thats vasically 1% of the population.
so multiply 6.72941176471 * 100
so now you have
672.941176471 and you can round this to 673 kids.
and you know its right since 85% of 673 is 572.05 and you can sound to 572
Answer:
673 students
Step-by-step explanation:
Divide the number of students who applied and the decimal of the percentage they represent.
85% = 85/100 = 0.85
572/.85 = 673
Hope this helps
14y=84
there's 2 boxes in the bottom
Answers
Answer:
y = 6
Step-by-step explanation:
If 14y = 84, then
84
y = ------ = 6
14
math problem for highschool
Answers
Answer:
297 units squared
Step-by-step explanation:
You just have to break the squares down and compare them to the other sides of the squares. For example, F is a 4 by 4 square and B is a 5 by 5 square, to find the dimensions of square E, you would just subtract 5 by 4. By looking at the side relationships of the squares, you can easily find the dimensions of each one.
A - 9 by 9
B - 5 by 5
C - 6 by 6
D - 7 by 7
E - 1 by 1
F - 4 by 4
G - 8 by 8
H - 5 by 5
Multiply and add to get 297
Answer:
297 units squared
Step-by-step explanation:
PLEASE HELP ME… Andre tried to solve the equation 14(x + 12) = 2 what was his mistake explain?
14(x + 12) = 2
14x = -10
x = -40
Answers
Answer:
Step-by-step explanation:
you have to multiply with both x and 12
14(x + 12) = 2
7(x + 12) = 1
x+12=1/7
x=-83/7
find the values of the variables in each diagram
Plzzz help
Answers
Answer:
60
Step-by-step explanation:
these are alternate angles between two parallel lines.
which means that 120=2x
so u can calculate the value of x through this equation.
120=2x
120/2=x=60
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
whats the answer of -5+-2p=-9
Answers
Answer:
p = 2
Step-by-step explanation:
Step 1: Write equation
-5 + -2p = -9
Step 2: Solve for p
Simplify: -5 - 2p = -9
Add 5 to both sides: -2p = -4
Divide both sides by -2: p = 2
Step 3: Check
Plug in p to verify it's a solution.
-5 - 2(2) = -9
-5 - 4 = -9
-9 = -9
Answer:
The answer to your question is P=2.
Hope this helps! :)
Julia loves collecting baskets. Every month she adds two new baskets to her collection. In the month of March she has 60 baskets. She’s worried she will soon run out of room in her apartment to keep her baskets. Write an equation that represents the percent of change of her basket collection from the beginning of the year to the end of the year, then solve.
Answers
The linear function that represents the amount of baskets in the xth month of the year is given as follows:
The percentage of her collection that she needs to get rid of is of 3.85%.
Linear Function:-
The definition of a linear function is:
y = b + mx
In which the parameters of the equation are given as follows:
•b is the value of y when x=0
•m is the rate of change for each unit of x
Every month she adds 2 new baskets to her collection, hence the slope is of : m = 2
Then: y = b + 2x
From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:
60 = b + 6
b = 54
Hence the equation is: y = 54 + 2x
At the end of the year (12 months) the amount of baskets that she will have is of:
y = 54 + 2 × 12 = 78
Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:
p = 3/78 × 100% = 3.85%.
Answer:
Step-by-step explanation: The linear function that represents the number of baskets in the month of the year is given as follows:
The percentage of her collection that she needs to get rid of is of 3.85%.
The definition of a linear function is:
y = b + mx
In which the parameters of the equation are given as follows:
•b is the value of y when x=0
•m is the rate of change for each unit of x
Every month she adds 2 new baskets to her collection, hence the slope is: m = 2
Then: y = b + 2x
From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:
60 = b + 6
b = 54
Hence the equation is: y = 54 + 2x
At the end of the year (12 months) the number of baskets that she will have is:
y = 54 + 2 × 12 = 78
Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:
p = 3/78 × 100% = 3.85%.
....................
Answers
Answer:
?
Step-by-step explanation:
While in flight, a hot air balloon decreases its elevation by 83 2/5 meters and then increases its elevation by 83.7 meters.
Enter an inequality in the box to compare the changes in elevation of the hot air balloon while in flight.
2/5 83 >83.7
2/5 83<83.7
2/5 83 = 83.7
Answers
2/5 83 = 83.7 = Answer
Answer:
2/5 83 = 83.7
Step-by-step explanation:
1/4 x __ = 1/2 = ?
I need this answered ASAP, it's 80% of my grade
PLEASE helppppppp
Answers
1/4 x 2 = 1/2.
*100 POINTS** 7th grade geometry pls help
Answers
Answer:
Height = 10 cm
Step-by-step explanation:
The volume of a pyramid can be found using the following formula:
\(\boxed{\large \textsf{$V=\frac{1}{3}Ah$}} \large \textsf{ where:}\\\\ \normalsize \textsf{$\bullet{\,V = $ volume of pyramid$}$}\\ \normalsize \textsf{$\bullet{\,A = $ base area$}$}\\ \normalsize \textsf{$\bullet{\,h = $ perpendicular height$}$}\)
Note: in the question, it states that base area = 12 cm³, however, this is an error (typo), and the area is 12 cm², since area is only in 2 dimensions. length and width, whilst volume is in 3 dimensions. length, width, and height.
Now, we can plug in our data into the formula:
\(\large \textsf{$40=\frac{1}{3}12h$}\\\\ \large \textsf{$40=4h$}\\\\\boxed{\boxed{\large \textsf{$\therefore h = 10$ cm}}}\\\)
Help!
The number of cookies that were made at a bakery for each of seven days is shown:
108, 96, 96, 84, 108, 240, and 84
The best measure of center for this data set is the-
A: median because all of the values are close to one another in value
B: mean because all of the values are close to one another in value
C: median because 240 is much higher than the other numbers in the data set
D: mean because 240 is much higher than the other numbers in the data set
Answers
The data set is as follows: 108, 96, 96, 84, 108, 240, and 84.
The median represents the middle value when the data set is arranged in ascending or descending order. In this case, when we arrange the data in ascending order, we have: 84, 84, 96, 96, 108, 108, 240. The middle value is 96, which is the fourth value in the sorted data set.
The mean is calculated by summing up all the values and dividing by the total number of values. In this case, the sum of the values is 756 (108 + 96 + 96 + 84 + 108 + 240 + 84), and there are seven values. Therefore, the mean is 756/7 = 108.
Comparing the options:
A: median because all of the values are close to one another in value - This is not accurate as the values vary, and the median is not necessarily the best measure of center based on the values being close to one another.
B: mean because all of the values are close to one another in value - This is not accurate as the values are not all close to one another, and the mean is not necessarily the best measure of center based on the values being close to one another.
C: median because 240 is much higher than the other numbers in the data set - This is not accurate as the presence of a single high value does not automatically make the median the best measure of center.
D: mean because 240 is much higher than the other numbers in the data set - This is the most accurate option. The mean takes into account the magnitude of each value and is influenced by extreme values. The value 240 has a significant impact on the mean, making it a better measure of center in this case.
Therefore, the best measure of center for this data set is D: mean because 240 is much higher than the other numbers in the data set.
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
Answers
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
please help me with the questions below
Answers
Answer:
2) 3/4 of the girls did not have 1 piece bathing suits
3) 4/6 were at the kiddie pool
4) 1/3 was boys
sorry if this was wrong
Ricardo’s goal was to run 40 laps. At the end of the week, he ran 125% of his goal. How many laps is that?
Answers
Answer: He ran 50 laps.
Step-by-step explanation:
40 x 1.25 = 50
Answer:
50
Step-by-step explanation:
40/1 = 100/1
125% = 100/100 + 25/100
25% of 40 = 10
so you have the 40 laps which equal 100% and you also have 25 percent of the from the 125% and 25 percent of 40 is 10 so the answer is 40 plus 10 wich is 50
Hope this helps
please help ! ! ! middle school math
you roll a 6-sided dice. what is P(5) ?
write your answer as a fraction or a whole number
please look at image ! ! ! !
Answers
Answer: 1/6
Step-by-step explanation:
because it is one of the six possible even outcomes
-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)
Answers
Answer:
Option #4
Step-by-step explanation:
Expand option #4
=-3(1-2x)
=-3 -2x*-3
=-3+6x which is what your original equation was.
This expression involves two numbers written in scientific notation.
Which is the simplified form of the expression?
Answers
Answer: the answer for it would be 20000 or should be
Step-by-step explanation:
4.2e7/2.1e3 should come out to 20000 at least my graphing calc says it should but it should come out to 20k
4.2/2.1 x 10 little 7/10 little 3 = 4.2/2.1 x 10 little 4 = 2 x 10 little 4 = 2x 10000= 20,000
I hope it helps:)
Are the two triangles similar? Explain, step by step, how you know.
Answers
Answer:
yes
Step-by-step explanation:
because an angle of both the triangles are same.
I hope I am right ......
I WILL MARK BRAINLIEST IF YOU ANSWER THIS RIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A circle with a radius with 14 feet is cut to 8 equal pieces. How many square feet are 3 of the pieces? use 22/7 for pi.
1,175 square feet
231 square feet
22 square feet
11 square feet
Answers
Answer: The answer is 231 square feet
Help pls. Also wdym this is to short yk why so long >:/
Answers
Answer:
Y= mx + b
so Y = 1/3x + 2
just substitute
Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.
Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1
Which expression is equivalent to twice b plus the sum of 2 and b?
Answers
The multiplicative inverse of -⅚ is
Answers
Answer: -6/5
Step-by-step explanation:
Multiplicative inverse simply is another word for 'reciprocal'.
A reciprocal is the fraction upside down, or inverted.
Knowing this, let's convert -5/6.
-5/6 becomes -6/5, and you don't do anything about the negative sign.
Answer: -6/5
Step-by-step explanation:
u just get the reciprocal
The are adding a new room to their house. The room will be a cube with volume 6859 ft. They are going to put in hardwood floors, and the contractor charges $5 per square foot. How much will the hardwood floors cost?
Answers
Answer:
1,371.8
Step-by-step explanation:
Here's how I got it
Since the whole square feet is 6859, and they charge 5$ per square feet, I believe if you divide 6859 divided by 5 you get 1,371.8
Sorry if I got it wrong!
Answer:
$1805 i think
Step-by-step explanation:
Cube root the volume of the room (6859) which equals 19. do 19x2=361. Do 361x5=1805. So the total would be $1805 i believe