The sum of the squares of two consecutive even integers is 452. find the integers.
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MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!1
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4(50) +3r = 365
200+3r = 365
3r =165
r = 165/3
r = 55
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)
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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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
Which expression is undefined
A. -8÷(-8)
B. -8÷8
C. 0÷8
D. 8÷0
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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
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
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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Calculate the theoretical probability that sum of 2 rolls equals 7
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P(4 then a 3) = 1/36
Theoretical probability = 1/36 + 1/36 = 1/18
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.
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.
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
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
What is the probability that it lands on heads at least 5 times?
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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.
Write the number 7362 to the nearest thousand
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What is the value of the function at x=−2?
y=−2
y = 0
y = 2
y = 3
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I hope I helped..
Answer:
y = 2
Step-by-step explanation:
When we have graph is given also one value from x and y is given then for finding the other value, We simply see the line where x = -2 is graphed and then we will see what is the value of y there.
Here at x = -2, y = 2 this is clearly apparent from the graph.
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:
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
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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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]
Learn more:
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An experienced bricklayer can construct a small wall in 4 hours. an apprentice can complete the job in 12 hours. find how long it takes if they work together.
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Apprentice worker takes 12hrs to complete, so in 1hr it would be 1/12 completed.
Team effort X hours and 1/X part of the job completed in an hour.
Set up:
1/4 + 1/12 = 1/x
Get the denominators the same to add. So multiply the left side by 3.
3/12 + 1/12 =1/x
Combine like terms.
4/12 = 1/x
Cross multiply.
4x = 12
Dived by 4 on both sides
X = 3 hrs if they work together.
The answer is 3.
They take 3 hours to complete the work together.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
An experienced bricklayer can construct a small wall in 4 hours.
And, An apprentice can complete the job in 12 hours.
Now,
Since, An experienced bricklayer can construct a small wall in 4 hours.
Hence, In 1 hour it will be completed 1/4 work.
And, An apprentice can complete the job in 12 hours.
So, In 1 hour it will be completed 1/12 work.
Let number of hour to complete the work together = x
in 1 hour both together completed 1/x work.
So, we can formulate;
1/4 + 1/12 = 1/x
Solve for x;
3/12 + 1/12 = 1/x
4/12 = 1/x
1/3 = 1/x
x = 3 hours.
Thus, They take 3 hours to complete the work together.
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What is the perimeter of a polygon with vertices at (−1, 3) , (−1, 6) , (2, 10) , (5, 6) , and (5, 3) ?
Enter your answer in the box. Do not round any side lengths.
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[tex] \sqrt{(x2 - x1) { }^{2} + (y2 - y1) {}^{2} } [/tex]
and once you find the distance for each side you add them all together to get the perimeter.
(Remember, x is the first number in the brackets and y is the second)
Answer:
FOR ALL THOSE LAZY PPL, HERE'S THE ANSWER....
22 units.
Have a nice day mates.
A sculpture is shaped like a sphere with 4 cones attached to it. Several dimensions of the sculpture, in feet, are shown in the diagram below. The total height of the sculpture from top to bottom is 12 feet. What is the volume of the sculpture, to the nearest cubic foot?
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volume of the center sphere = 4/3*PI*r^3
r = 3 ( given in the picture)
so 4/3 * 3.14 *3^3 = 113.04 cubic feet
volume of 1 cone: pi *r^2 *h/3
r = 3 and h=3 ( given in the picture)
so 3.14 * 3^2 * 3/3 = 28.26 cubic feet
there are 4 cones so 28.26* 4 = 113.04 cubic feet
113.04 + 113.04 = 226.08 cubic feet
rounded to nearest cubic foot = 226 cubic feet
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.
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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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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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)
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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