Answer:
The maximum distance between posts is 8 m
Step-by-step explanation:
There is a rectangle-shaped plot where we have to place equidistant posts at the maximum possible distance. The dimensions of the plot are 608 m and 264 m.
The maximum distance between posts is given by the maximum possible divisor of 608 and 264. That number is called the greatest common divisor (GCD).
It can be found by factoring both numbers:
[tex]608 = 2^5*19[/tex]
[tex]264 = 2^3*33[/tex]
The GCD is the product of all common factors with the least exponent. The only common factor is 2 and the least exponent is 3. Thus the GCD is 2*2*2=8.
The maximum distance between posts is 8 m
These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two yellow marbles if the first one is not placed back into the bag before the second draw
Answer:
It is 1/45
Step-by-step explanation:
The probability of drawing two yellow marbles=4/45.
It is given that Total number of marbles=10 ,number of yellow marble is 2, number of pink marble is 3 and number of blue marble is 5.
To find the probability of drawing two yellow marbles if the first one is not placed back into the bag before the second draw.
What is probability?The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
The probability of drawing first yellow marble=2/10=1/5
When first yellow marble is not placed back into the bag before the second draw.
Then, number of remaining yellow marble=1
Total number of marbles=9
The probability of drawing second yellow marble =4/9
Now, the probability of drawing two yellow marbles =1/5*4/9=4/45
Hence, the probability of drawing two yellow marbles=4/45
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- 1 5 x + 4 ≤ 39 Which values for x make this inequality TRUE?
Answer:
x ≥ 7/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Inequality
-15x + 4 ≤ 39
Step 2: Solve for x
Subtract 4 on both sides: -15x ≤ 35Divide -15 on both sides: x ≥ 7/3Here we see that any value x greater than or equal to 7/3 would work as a solution to the inequality.
In triangle ACE, G is the centroid and BE = 18. Find BG and GE.
a BG=12, GE=6
b BG=4 1/2, GE=13 1/2
c BG=6, GE=12
d BG=9 GE=9
Answer: Choice C) BG = 6, GE = 12
=======================================================
Explanation:
The centroid G cuts the median segment BE such that BG is 1/3 of BE, and GE is 2/3 of BE.
So,
BG = (1/3)*BE = (1/3)*18 = 6
GE = (2/3)*BE = (2/3)*18 = 12
-------------
Put another way: GE is twice as long as BG
Let x = BG. This means 2x = GE
Leading to
BG+GE = BE
x+2x = 18
3x = 18
x = 18/3
x = 6 = BG
2x = 2*6 = 12 = GE
I needddd helpppppppp
Answer:
B the second one -1/3
Step-by-step explanation:
hopefully this helps
Which are true?
(ANSWER QUICK)
1.All states have ways in which they are able to collect revenue. Some states collect a significant amount of revenue through sales tax, while others take in large
portions of revenue through other kinds of taxes, such as property taxes and state income taxes.
2. You will pay the same tax rate from state to state and for the same classes/types of goods.
3. 5 states do not levy a statewide sales tax: New Hampshire, Oregon, Montana, Alaska, and Delaware.
4. States, such as Pennsylvania, can impose a sales tax on goods and that tax rate can increase if local governments within the state also levarge a sales tax to
collect revenue.
Answers:
True. All states have a different approach to collecting revenue, which is money they spend on government programs. Most states have income taxes, but a state like Florida doesn't have income taxes. Instead they rely on sales taxes and property taxes. The general rule is that if one tax is missing, then chances are the other tax rates are higher to make up the lack of funds (that the missing taxes would provide).False. States vary in sales tax rates. For instance, Alabama's sales tax is 4% while Arkansas is 6.5%True. You can do an online search of "states without sales tax" to find sources to help confirm this. Keep in mind that while the state overall does not impose sales tax, this does not mean the city and/or county governments won't impose sales tax. Unfortunately it's hard to escape taxes and sales tax is just one of those inevitable things.True. As mentioned in problem 3, local governments (city and/or county) tend to impose taxes of their own on top of state sales taxes. Sales taxes fund state programs while local taxes fund local programs. Though some local government programs will use state or federal dollars.need help asap pls be right no trolls
AM I WRONG JIM? Let me know
Problem 1
Domain: [-3, 5)
Range: (-4, 3]
The domain is the set of allowed x inputs, while the range is the set of allowed y outputs. For problems like this, we just list the smallest and largest values possible. In this question, the left most point happens when x = -3 and the right most point is when x = 5, but we don't include this value due to the open hole. So that's why we have a curved parenthesis as part of the domain here. The range is a similar story, but we look at the y values instead.
==========================================
Problem 2
Domain: [-2, 4)
Range: [-2, 5)
We aren't including any of the endpoints due to the open holes. Be sure not to mix this notation up with ordered pair notation.
===========================================
Problem 3
Domain: [1, 4]
Range: [-4, -1]
We include each endpoint because of the filled in circles, so that's why we use square brackets here.
3/6 is simplest form 12/24 1/2 1/3 Choose the pair of equivalent fractions. 1/2=2/4 3/6=15/24 1/3=3/6 Choose the pair of equivalent fractions. 6/12= 1/4 3/5=6/15 3/12=1/4 Choose the pair of equivalent fractions. 1/2= 12/18 5/3=1/3 1/2=5/10 Which is the correct mixed number for this improper fraction: 36/10 3 6/10 3 3/5 3 1/3 Which one is the correct mixed number for this improper fraction: 10/3 1 7/3 2 4/3 3 1/3 Which improper fraction matches this mixed number: 2 5/8 21/8 15/8 18/8 Which improper fraction matches this mixed number: 4 1/2 7/2 9/2 6/2
Answer:
1/2 is the simplest form of 3/6
1/2 and 2/4 are equivalent fractions
3/12 and 1/4 are equivalent fractions
1/2 and 5/10 are equivalent fractions
i am not completely sure about the improper fractions. sorry
Step-by-step explanation:
Answer:
3 5/6
Step-by-step explanation:
i took the test hope you pass
-2 - 3k - 2 = -2k + 8 - k
Step-by-step explanation:
I'm not sure but that's what I'm getting 3k=2 jn simplest form
I need the lateral and total surface area
Answer:
The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.
Which expressions
are
equivalent to 6 · 6 · 6 · 6 · 6?
Choose 2 answers:
Answer:
B and C
Step-by-step explanation:
My original answer got deleted because it was incomplete, so...
6 * 6 * 6 * 6 * 6 = 7776
A.) (6²)³ = 46656
B.) 2⁵ * 3⁵ = 7776
C.) 6⁶/6¹ = 7776
D.) 3² * 2³ = 72
Expression [tex]2^5.3^5[/tex] and [tex]\frac{6^6}{6^1}[/tex] are equivalent to 6.6.6.6.6. Option B and C are correct.
Expression Equivalent to 6.6.6.6.6. to be determine.
It is defined as solutions to mathematical problems.
Here, 6.6.6.6.6 = 6^5
For option a)
[tex](6^2)3 = 6^6 \neq 6^5[/tex]
For option b)
[tex]2^5.3^5=(2.3)^5=6^5[/tex]
For option c)
[tex]\frac{6^6}{6^1}=6^5[/tex]
For option d)
[tex]3^2.2^3 \neq 6^5\\[/tex]
Thus, expression [tex]2^5.3^5[/tex] and [tex]\frac{6^6}{6^1}[/tex] are equivalent to 6.6.6.6.6. Option B and C are correct.
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-4n + 1/3m + 4n - 4/5m
Answer:
[tex]-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}[/tex]
Step-by-step explanation:
Given the expression
[tex]-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}[/tex]
Group like terms
[tex]-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}=-4n+4n+\frac{1}{3m}-\frac{4}{5m}[/tex]
Adding similar elements: -4n + 4n = 0
[tex]=\frac{1}{3m}-\frac{4}{5m}[/tex]
L.C.M of 3m and 5n will be: 15m
so adjusting fractions based on the LCM
[tex]=\frac{5}{15m}-\frac{12}{15m}[/tex]
Since, the denominators are equal, combine the fractions: [tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{5-12}{15m}[/tex]
[tex]=\frac{-7}{15m}[/tex]
[tex]=-\frac{7}{15m}[/tex]
Therefore, we conclude that:
[tex]-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}[/tex]
X + (x + 1) = 132
x(x + 1) = 132
2x = 132
x2 = 132
Answer:`211
123123
Step-by-step explanation:
If AB is 12, what is the length of A' B'?
Answer:
8 units
Step-by-step explanation:
As we can see, the two triangles are similar
If two triangles are similar, then the ratio of their sides are equal
thus, mathematically;
12/6 = x/4
2 = x/4
x = 2 * 4
x = 8
Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. How many kilograms of fruit is a chef choose the best estimate
Answer: 21 1/8 kilogram
Step-by-step explanation:
From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:
= 3 3/4 + 7 1/4 + 10 1/8
Note that the Lowest Common Multiple is 8.
= 3 6/8 + 7 2/8 + 10 1/8
= 20 9/8
= 21 1/8 kilogram
Which of the following is equivalent to the expression 5x + 15
a. 5( x + 3)
b. x(5 + 15)
c. 5(x + 2)
d. x(1 + 5x)
Answer:
a
Step-by-step explanation:
simplify 5(x+3) = 5x+15
Factor 5 out of 5x+15.
A. 5 (x + 3)
What is it? Plz help
the answer is 120.
explanation:
Yo can somebody please help me with this?
what is the absolute value of negative 2?
Answer:
2
Step-by-step explanation:
absolute value is the distance from zero on a number line
Answer:
2 lol
Step-by-step explanation:
the absolute value of anything negative is always the same thing but positive
unless given a reason to not be
a-2=7 solve this question please
Answer:
a = 9
Step-by-step explanation:
a - 2 = 7
a = 9
Bobby buys 6 candy bars for $1.74. At the same price, how many more candy bars can he buy for $20.88?
Answer:
12 candy bars.
Step-by-step explanation:
Answer:
72 more candy bars
Step-by-step explanation:
Divide 20.88 by 1.74 to see how many times 1.74 can go into 20.88. You get 12. If 6 candy bars in total cost 1.74, you multiply 12 by 6 because you have 12 groups of 1.74. 12 times 6 is 72. So Bobby can buy 72 more candy bars.
You go out to dinner at the Olive Garden and the never ending pasta bowl gets you and your family a $62.75 total bill. What would be the amount of a 15% tip?
Answers listed:
$9.41
$10.75
$0.15
$15.00
Answer:
9.41
Step-by-step explanation:
What is the slope of y=-4x-3y=−4x−3y, equals, minus, 4, x, minus, 3?
Answer:
-4
Step-by-step explanation:
Given:
[tex] y = -4x - 3 [/tex]
Required:
Slope of the line
SOLUTION:
The equation of the line, [tex] y = -4x - 3 [/tex], is given in the slope-intercept form, which is [tex] y = mx + b [/tex].
Where, m is the slope, and b is the y-intercept.
Therefore, the slope (m) of the line, [tex] y = -4x - 3 [/tex] is -4.
m = -4
mid point of A(-7,1) and B (3,-5)
Answer:
(-2,-2)
Step-by-step explanation:
use midpoint formula: (average of two x-values, average of two y-values)
(-7 + 3)/2 = -4/2 = -2
(1 + -5)/2 = -4/2 = -2
Answer:
[tex]let \: m \: be \: the \: mid \: point \\ m = (( \frac{( {x}^{1} + {x}^{o})}{2}) \: \: \: ( \frac{ ({y}^{1} + {y}^{o}) }{2} )) \\ m = (( \frac{( - 7 + 3)}{2} ) \: \: \: ( \frac{(1 + - 5)}{2} ) \\ m = ( \frac{ - 4}{2} \: \: \: \frac{ - 4}{2} ) \\ m = ( - 2 \: \: \: - 2) \\ mid \: point \: = \: \binom{ - 2}{ - 2} [/tex]
How are 4 and 5 related?
Answer:
they are both natural numbers
The cost for a pack of 7 padlocks is $23.80 .
Find the unit price in dollars per padlock.
If necessary, round your answer to the nearest cent.
Greatest number of the mortified 39,o83
Answer:
The answer is "83".
Step-by-step explanation:
Given numbers:
39
83
The greatest number is 83.
The plan for a city park shows that the park is a quadrilateral with straight paths along the diagonals. For what values of the variables is the park a parallelogram? In this case, what are the lengths of the paths?
Answer:
x = 10, y = 15RT = 210 m, US = 396 mStep-by-step explanation:
Diagonals of parallelogram bisect each other;
UV = VS and RV = VTSubstitute values:
11y + 33 = 14y - 12 ⇒ 14y - 11y = 33+12 ⇒ 3y = 45 ⇒ y = 15
US = 2(11*15+33) = 396 m3x + 5y = 6x + 3y ⇒ 6x - 3x = 5y - 3y ⇒ 3x = 2y ⇒ 3x = 30 ⇒ x = 10
RT = 2(3*10 + 5*15) = 210 mOne number is 3 more than 4 times the second number. Their sum is 43. Find the numbers. Answer : The numbers are , .
Step-by-step explanation:
Let x be the 2nd number.
Then the 1st number is 4x + 3.
We have 4x + 3 + x = 43, 5x = 40, x = 8.
Hence the numbers are 35 and 8.
-4.32193257293 simplified?????
Answer:
-4.3
Step-by-step explanation: