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Related Questions
Suppose that hot dogs come in packs of 9 and buns come in packs of 12 . kareem bought the same number of hot dogs as buns. it was the least number of each for which this was possible.
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36 is least number of each for which this was possible.
what is Least common multiple?The smallest positive integer that is divisible by both a and b is known as the least common multiple, lowest common multiple, or smallest common multiple of two integers, or lcm(a, b), in mathematics and number theory.
4 is the LCM of 2 and 4. To get the smallest multiple that is exactly divisible by 2 and 4, i.e. 4, we must first determine the multiples of 2 and 4 (multiples of 2 = 2, 4, 6, 8; multiples of 4 = 4, 8, 12, 16).
Given:
Hot dogs cam in pack of 9.
Buns came in pack of 12.
Now, to find least number of each bought the same number of hot dogs as buns.
So, LCM(9, 12)
9= 3x 3
12= 2 x2 x 3
Thus, LCM(9, 12) = 3 x 3 x 2 x 2 = 36
Hence, 36 is least number of each for which this was possible.
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A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman for her to keep. Another flower is then chosen at random and given to a different woman for her to keep. Both women received a pink rose. Are these events independent or dependent?
A) Dependent because the women both received a pink rose.
B) Independent because the women both received a pink rose.
C) Dependent because when the first flower is taken, it affects the ratio of the types of flowers in the vase.
D) Independent because when the first flower is taken, it does not change the ratio of the types of flowers in the vase.
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Answer:
Option C - Dependent because when the first flower is taken, it affects the ratio of the types of flowers in the vase.
Step-by-step explanation:
Given : A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations.
One flower is chosen at random and given to a woman for her to keep.
Another flower is then chosen at random and given to a different woman for her to keep. Both women received a pink rose.
To find : Are these events independent or dependent?
Solution :
According to the statements,
The probability that the second woman receives a pink rose is dependent upon what the first woman receives.
Total flowers = 5+4+6=15
If the first woman does not receive a pink rose,
Then, the probability of the second woman receiving one is [tex]\frac{4}{15}[/tex]
If the first woman does receive a pink rose
Then, the probability of the second woman receiving one is [tex]\frac{3}{15}=\frac{1}{5}[/tex]
Therefore, Option C is correct.
Dependent because when the first flower is taken, it affects the ratio of the types of flowers in the vase.
Find the value of x so the rectangles have the same area
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So x*12 = 12x = area of first rectangle
So 16*(x-2) = 16x -32 = area of second rectangle
The question states to make them equal, so:
first rectangle = second rectangle
12x = 16x -32
Solve for x
-4x = -32
4x = 32
x = 8
Using formula:
Area of rectangles = width [tex]\bold{\times}[/tex] length.Using the first image to calculate the area:
[tex]\to \bold{ x\times 12 = 12x }[/tex]
Using the second image to calculate the area:
[tex]\to \bold{16\times (x-2) = 16x -32 }[/tex]
equalling both the area:
[tex]\to \bold{12x = 16x -32}\\\\\to \bold{32 = 16x -12x}\\\\\to \bold{32 = 4x }\\\\\to \bold{4x=32 }\\\\\to \bold{x=\frac{32}{4}}\\\\\to \bold{x=8}\\\\[/tex]
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A circle has a diameter of 12mm . what is its circumference? use 3.14 for π , and do not round your answer. be sure to include the correct unit in your answer.
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With a diameter of 12mm and using π as 3.14, the circumference is calculated as 37.68mm.
The circumference of a circle can be calculated using the formula:
Circumference = π x diameter
Given: Diameter = 12mm
Using π = 3.14:
Circumference = 3.14 x 12mm = 37.68mm
Therefore, the circumference of the circle is 37.68mm.
Suppose a fair coin is flipped and a fair six-sided die is rolled. list the members of the event "the die does not land on 5"
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A cab ride from the airport to your home costs $19.50. If you want to tip the cab driver close to 10 percent of the fare, how much should you tip?
$1
$2
$3
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The tip for the cab is close to 10 percent is around $2.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A cab ride from the airport to your home costs $19.50.
Now, The tip given is 10% of the fare so,
= (10/100)×19.50.
= 0.1×19.50.
= 1.95.
So, The exact tip would be $1.95 which is approximately $2.
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What is 0.72 written as a simplified fraction? (1 point) seventy-two over one hundred one hundred over seventy-two thirty-six over fifty eighteen over twenty-five 4. ms. johnson's class is having a pizza party. if there are 14 students and 7 pizzas cut into 8 slices, what answer choice represents the fraction of one pizza that each student receives? (1 point) one-third one-fourth one-half one-eighth?
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Of 50 students surveyed, 19 said they had soda for breakfast. write a portion in fraction, decimal, percent
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___________________________
In fraction: [tex] \frac{19}{50}[/tex] .
___________________________
In decimal: 0.38 .
_________________
In percent: 38 % .
_________________
Explanation:
_________________
19/50 = (19*2)/(50*2) = 38/100 .
38/100 = 38 ÷ 100 = 0.38 .
38/100 = 38 % .
___________________________
A 2.2 GB game is being downloaded on your laptop. When you have downloaded half a gigabyte, you notice that your computer has been downloading at the rate of .01GB per minute. (A) Write an inequality that represents at least how many minutes it will take to download the game (b) Your computed only has two hours of battery life, will it be enough to download the game?
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The game which is 2.2 GB will need 170 minutes to download at a rate of 0.01 GB per minute. But the computer has only 120 minutes of battery life which is insufficient.
Explanation:The total size of the game is 2.2 GB. The part that is already downloaded is 0.5 GB, so the remaining size of the game to be downloaded is 2.2 GB - 0.5 GB = 1.7 GB. Now, since the downloading speed is 0.01 GB/minute, we extrapolate the remaining time as (1.7 GB) / (0.01 GB/min) which equals 170 minutes.
(a) So, the inequality representing at least how many minutes it will take to download the rest of the game is x ≥ 170, where x is the required time in minutes.
(b) Two hours of battery life is equivalent to 2*60 = 120 minutes. Since 170 minutes is required to download the game and the available battery life is only 120 minutes, the battery will not be enough to download the game.
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Bethany's family can eat (13h + 6) hotdogs. Clark's family can eat (10h + 3) hotdogs. Which expression shows the difference between the number of hotdogs Bethany's family can eat and the number of hot dogs Clark's family can eat?
A.3h - 9
B.3h + 3
C.-3h + 9
D.-3h + 3
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If events X and Y are independent, what must be true? Check all that apply.
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1) The occurrence or lack of event X does not influence the occurrence of event Y, and the occurrence or lack of event Y does not influence the occurrence of event X.
2) P(X∩Y) = P(X) * P(Y)
3) P(X | Y) = P(X).... this is the probability of X given Y is equal to the probability of X.
4) P (Y | X) = P(Y)
5) P(A∪B) = P(A) + P(B) - P(A∩B)
3. P(Y | X) = P(Y) and 6. P(X | Y) = P(X)
What is the minimum value for p=x-2y over the feasibility region defined by the constraints shown above?
x <= 8
y>= 0
y<= 3x+2
y<= -x+10
a. 8
b. -2
c. -16
d. -14
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The fact that x ≤ 8 and y ≥ 0 means we are free to set x as low and y as high as possible, as long as they agree with the other constraints.
Graphing the inequalities helps to see the optimum point. It is where 3x +2 and -x +10 intersect, at (2,8). This is the greatest point for y that agrees with our inequality.
Remember that the function we are minimizing is p = x - 2y
The value for p at this point is 2 - 2(8) = 2 - 16 = -14
Answer is D)
what are two decimals that have square root between 3 and 4
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1.86^2 = 3.4596
1.78^2 = 3.1684
Which of the following inequalities is equivalent to -6 > x?
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4nm - 4m = 8. Solve for m
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4m(n - 1) = 8
4m = 8 / (n - 1)
m = [8 / (n - 1) / 4
m = 2 / (n - 1) answer
What is the probability that it lands on heads at least 5 times?
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If m∠APW = 20°, then the measure of ∠WPZ is
20
70
90
160
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Answer:
It is 70
Step-by-step explanation:
Both angles have to add up to 90 and I did the lesson ight
Express 275% as a decimal number
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Alright so, 100% is equal to 1, because think about it as a fraction, 2/3 is 66%, because it's not full, and 2/3 is 66%, but it's also .66(etc). So, in order to get 100% you'd have to have a 3/3.
I'm going to use 4/4. so in order to go above 100% you'd have to add more.
8/4 is 200% because it divides to 2.00
So now just add 3 more because 3/4 is 75%
11/4 is 275%
Which also divides to 2.75
2.75 is your answer, hope this helped!
The conversion of a percentage to a decimal number, divide the percentage by 100 it means that 275% represents 2.75 times the original quantity.
To convert a percentage to a decimal number,
divide the percentage value by 100.
Here's the step-by-step explanation for converting 275% to a decimal:
Take the percentage value (275%) and divide it by 100.
275 ÷ 100 = 2.75
So, 275% as a decimal is 2.75.
It means that 275% is equal to 2.75 times the whole quantity.
For example, if you have 100 dollars and increase it by 275%, you will end up with 100 + (2.75 × 100) = 375 dollars.
Therefore, the 275% as a decimal number is equal to 2.75.
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Consider the statement 4-3+5=-6+8+4 this mathematically correct sentence is the sentence true or false? Explain how you know
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4-3+5=6
(-6)+8+4=6
They both equal 6
How many different sums of money can be formed from penny and half a dollar?
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starting with your 51 pennies you can get rid of every 5 pennies and replace them with a nickel so say you get rid of 10 pennies you would have 2 nickels
so 51/5= 10.2
or 10 nickels
so that is ten combos right there along side 51 pennies
so no you do the dimes witch for every 10 pennies you get rid of is = to 1 dime so 51/10=5.1 or 5 dimes so that gives you 5 more combos
so now its 1 penny combo with 10 nickel combos with 5 dime combos
now for quarters for every 25 pennies you get rid of is = to 1 quarter so
51/25=2.04 or just 2 and with half dollars ( they do make thoses ) it is for every 50 pennies you get rid of is = to one half dollar ( which is 50 cents) so 51/50= 1.02 or 1 so it is
1 penny combo + 10 nickels combos + 5 dime combos + 2 quarter combos + 1 half dollar combo =
1+10+5+2+1=19 different sums of money
You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?
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$450 is simply 450 times $1, so multiply the conversion equation above by 450 on both sides.
450 * $1 = 450 * 3.70 rands
$450 = 1665 rands
Suppose you traveled 84 in 1.5h moving at the same speed, how many mi would you cover in 3 1/4? & can someone answer number 45 also?
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43. To solve this, we can find the unit rate by dividing the amount traveled by the amount of time. 84/1.5 is 56. You are traveling at 56 mph. 3 1/4 is equivalent to 3.25. We can multiply that by 56 to find the amount traveled in 3 1/4 hours. 56 * 3.25 is 182. There. You would cover 182 miles in 3 1/4 hours.
44. To find the amount of heart beats in 50 seconds, we can set up a proportion like this: 130/12 = x/50. You set this up, because we’re looking for the amount of heartbeats, but we know the time frame. Cross multiply the values to get 6,500 = 12x. Now, divide each side by 12 to isolate the “x”. 6,500/12 is 541.6666 (541 2/3) or 542 when rounded to the nearest whole number. The heart beats about 542 times in 50 seconds.
45. Okay. Gas costs $1.85 per gallon and there is 18 miles per gallon. To find the cost per mile, we can divide the price for a gallon of gas by 18. 1.85/18 is 0.102777 and 7’s repeating or 0.10 when rounded to the nearest hundredth. The cost for gas per miles is approx. 10 cents.
Note: You didn’t ask for question #44 to be answered, but I solved it for you anyway to help you out.
use multiples to write two fractions equivalent to 7/9
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Answer:
[tex]\displaystyle\frac{35}{45}, \frac{49}{63}[/tex] are two equivalent fractions of the given fraction.
Step-by-step explanation:
We are given the following information in the question:
We are given the fraction:
[tex]\displaystyle\frac{7}{9}[/tex]
We have to find an equivalent fraction. This could be done by multiplying both the numerator and the denominator by the same number.
Equivalent fraction:
Multiplying both numerator and denominator by 5
[tex]\displaystyle\frac{7\times 5}{9\times 5} = \frac{35}{45}[/tex]
Multiplying both numerator and denominator by 7
[tex]\displaystyle\frac{7\times 7}{9\times 7} = \frac{49}{63}[/tex]
Hence, [tex]\displaystyle\frac{35}{45}, \frac{49}{63}[/tex] are two equivalent fractions of the given fraction.
100 envelopes cost $0.70 how much would it be for 250
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The cost of 250 envelopes would then be 0.007 × 250, which is $1.75
If 100 envelopes cost $0.70 then it would cost $1.75 for 250 envelopes.
If 100 envelopes cost $0.70, we can set up a proportion to determine the cost of 250 envelopes:
100 envelopes / $0.70 = 250 envelopes / x
Cross-multiplying:
100 × x = 250 × $0.70
Simplifying:
100x = 175
Dividing both sides by 100:
x = 175 / 100
x = $1.75
Therefore, it would cost $1.75 for 250 envelopes.
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lisa wants to make at least $300.00 selling candy. Hard candy cost $3.00 per piece and chocolates cost cost $6.00 per piece. How many pieces of each type of candy could Lisa sell in order to make at least $300.00
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Hard candy = x
Chocolate = y
3x+6y=300
To find y, x=0
3(0)+6y=300
6y=300
y=50
To find x, y=0
3x+6(0)=300
3x=300
x=100
Lisa can either sell 100 hard candies or 50 chocolate to make $300.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Lisa wants to make at least $300.00 selling candy. Hard candy cost $3.00 per piece and chocolates cost $6.00 per piece.
Establishing the equation for this problem.
Let,
Hard candy = x
Chocolate = y
Therefore,
3x+6y=300
To find y, let x=0
3(0)+6y =300
6y = 300
y = 50
Similarly,
To find x, put y=0
3x+6(0)=300
3x=300
x=100
Hence, Lisa can sell 100 hard candies or 50 chocolate to make $300.
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Which expression is undefined
A. -8÷(-8)
B. -8÷8
C. 0÷8
D. 8÷0
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Determine the x- and y-intercepts of the graph of y = 1/4x - 2
Then plot the intercepts to the graph the equation
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Answer:
The y-intecept is [tex](0,-2)[/tex], and the x-intercept is [tex](8,0)[/tex].
Step-by-step explanation:
The interception points with the axes can be foun by making zero one variable.
If you wanna find y-interception, we must make x = 0.
If you wann find x-interception, we must make y = 0.
The given function is
[tex]y=\frac{1}{4}x-2[/tex]
For [tex]x=0[/tex], we have
[tex]y=\frac{1}{4}(0)-2\\y=-2[/tex]
For [tex]y=0[/tex], we have
[tex]y=\frac{1}{4}x-2\\0=\frac{1}{4}x-2\\2=\frac{1}{4}x\\x=8[/tex]
Therefore, the y-intecept is [tex](0,-2)[/tex], and the x-intercept is [tex](8,0)[/tex].
The image attached show this.
Can someone please help me
Factor completely
9-6a-24a^2
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You don't want a negative in front of the variable that is being squared.
-1(24a^2 + 6a - 9)
-3(8a^2 + 2a - 3)
now we use the A C method. what two numbers multiply to equal A×C (8×-3) and add to be B (2)?
6 and -4
-3(8a^2 + 6a - 4a - 3) factor by grouping
-3(2a(4a + 3) -1(4a + 3))
-3(2a - 1)(4a + 3)
hope this helped C:
Answer:
3(3+4a)(1-2a)
Step-by-step explanation:
Jason draws a line in the sand at the beach. The line is 78 ft long. He wants to divide the line into sections that are each 1/8 ft long.
How many sections will the line be divided into?
Enter your answer in the box.
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The Tigers lost 15% of the 60 games that they played this season. How many games did they win?
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So, if they played 60 games, and you want to find how many they lost, you would write x/60, when x=games lost.
15 x
___=___
100 60
Simplify the fraction on the left. Divide the numerator (top) and the denominator (bottom) by 5, leaving you with 3/20.
3/20=x/60
Make the denominators (bottom) similar
9/60=x/60
x=9