What is the least number of line segments that make exactly 100 squares?
Answers
Answer with explanation:
First Possibility
→→100 Squares in a Row Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.
→→100 Squares in a Column Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.
So, total number of line segments =101 +2=103
Second Possibility
If you draw 11 line segments of equal length in a column and 11 line segments in a row, you can draw 100 square of equal size.
So, total number of line segments =11+11=22
Related Questions
A printer prints 28 photos in 8 minutes, how many minutes does it take to print 21 more photos?
Answers
Which equals 3.5 photos per minutes.
Then you have to divide 21 by the photos per minute.
Which gives you your answer; It takes 6 minutes to print 21 more photos
How do you subtract
-6 - (-7)?
Can you explain it step by step too? Thanks!
Answers
A recipe calls for 3 2/3 cups os flour. Earl used 7 1/3 cups. How did he increase the recipe?
Answers
7 1/3 = 22/3
3 2/3 = 11/3
22/3 - 11/3 = 11/3 = 3 2/3
You wave goodbye to a friend after physics class, and she rides off on her bike. after 3.0 s, she is 15 m away. how far away will she be after 30 s ?
Answers
Final answer:
After 30 seconds, she will be 150 meters away.
Explanation:
To calculate how far the friend will be after 30 seconds on her bike, we must assume a constant velocity since no acceleration is mentioned. Given that she is 15 meters away after 3 seconds, we can calculate her velocity using the formula v = d/t, where v is velocity, d is distance, and t is time.
First, we find her velocity:
v = 15 m / 3 s = 5 m/s
Now that we have her velocity, we can calculate how far she will be after 30 seconds:
Distance = Velocity × Time = 5 m/s × 30 s = 150 m
Therefore, after 30 seconds, she will be 150 meters away.
The sum of three consecutive integers is 153. Find the integers.
Answers
x+x+1+x+2= 153
3x+3=153
3x=150
x=50
Final answer: 50, 51, 52
There are 332,054 people in the city.Of these, 168,278 are under the age of eighteen.Draw a bar diagram and find how many people are eighteen or older
Answers
Answer:
The bar diagram is shown below. Number of peoples who are 18 or older is 163,776.
Step-by-step explanation:
Given information:
Total number of peoples in the city = 332,054
Number of peoples who are under 18 = 168,278
Number of peoples who are 18 or older is
[tex]332,054-168,278=163,776[/tex]
We need to draw a bar diagram.
In the bar diagram x axis represents the age and y-axis represents the number of peoples.
First bar represents the number of peoples who are under 18 i.e., 168,278.
Second bar represents the number of peoples who are 18 or older i.e., 163,776.
Can someone please help me with this?
Answers
Ax=B
where
A=[[6,-1],[-2,2]]
B=[2,16]
To solve for x, premultiply by the inverse of A
x=A^(-1)B
The inverse of A can be found as
A^(-1) = [[2,1],[2,6]]/(6*2-(-1)(-2)) [2,16]
=[[2,1],[2,6]]/10 [2,16]
=[[0.2,0.1],[0.2,0.6]] [2,16]
Verify the solution by matrix multiplication:
x=0.2*2+0.1*16=2
y=0.2*2+0.6*16=10
substitute into original equation,
6x-y=12-10=2 ok
-2x+2y=-4+20=16 ok.
It will be your duty as a student to find the right option from the answer.
4y-4=16 what is the answer
Answers
4y -4 (+4) = 16 + 4
4y = 20
4y/4 = 20/4
y = 5
hope this helps
+4 +4
4y=20
y=5
Use matlab to calculate the probability to get 3 times of '5' in 8 throws of a fair die
Answers
q = 1 - p = 5/6, the probability of not getting a '5'.
Number of trials = 8
Expected number of successes = 3
The probability is
₈C₃ (1/6)³ (5/6)⁵ = 56*0.00463*0.40188 = 0.1042
Answer: 0.1042
Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system
Answers
[tex] \left[\begin{array}{ccc}1&h&4\\3&6&8\end{array}\right][/tex]
We perform the following matrix operations
[tex] \left[\begin{array}{ccc}1&h&4\\3&6&8\end{array}\right] -3R_1+R_2\rightarrow R_2 \\ \\ \left[\begin{array}{ccc}1&h&4\\0&6-3h&-4\end{array}\right] \frac{1}{6-3h}R_2\rightarrow R_2 \\ \\ \left[\begin{array}{ccc}1&h&4\\0&1&\frac{-4}{6-3h}\end{array}\right] -hR_2+R_1\rightarrow R_1 \\ \\ \left[\begin{array}{ccc}1&0& \frac{24-8h}{6-3h} \\0&1&\frac{-4}{6-3h}\end{array}\right][/tex]
Thus, the matrix is consistent for
[tex]h\neq6-3h \\ \\ h+3h\neq6 \\ \\ 4h\neq6 \\ \\ h\neq \frac{6}{4} \\ \\ h\neq \frac{3}{2} [/tex]
To determine the value(s) of h for a consistent linear system, the augmented matrix must not have any row that implies a contradiction, like 0x + 0y = c where c is non-zero. The exact values of h depend on the matrix itself and usually involve row reduction to identify non-contradictory solutions. The provided examples do not appear to relate directly to a linear system matrix.
Explanation:To determine the value(s) of h that result in the matrix representing a consistent linear system, we must ensure that there are no contradictions within the augmented matrix. If the matrix represents a system of linear equations, consistency is achieved when the system has at least one solution. A contradiction would occur if a row in the augmented matrix had all zeros in the coefficient part and a non-zero value in the last column, corresponding to an equation like 0x + 0y = c (where c is non-zero), which has no solution.
The exact values of h would be determined by the context of the specific matrix and its elements, usually involving row reduction to echelon form to identify possible contradictions. In some cases, specific values of h can lead to a row of all zeros, which does not affect consistency, but a particular non-zero value in the rightmost column would create inconsistency. Without the explicit matrix, we cannot provide the exact values of h.
In the examples provided, it seems there is a mix of mathematical equations and expressions that are not directly related to a specific matrix or linear system. As such, the value of h in those expressions may refer to concepts like the uncertainty principle in quantum mechanics or gravitational force in physics, and thus do not pertain to solving a system of linear equations.
Divide 28 cans into 2 groups so the ratio is 3 to 4
Answers
What is the unit rate per bottle if a pack of 28 bottles of juice sells for $7? $0.25 per bottle $0.75 per bottle
$2.50 per bottle
$4.00 per bottle
Answers
divide cost by number of bottles
7/28 = 0.25 per bottle
check 28 * 0.25 = 7.00
C= m over 3 π d to the second power , for m
Answers
C = 1/3 d^2 m π is equivalent to 1/3 d^2 m π = C:1/3 π d^2 m = C
Divide both sides by (π d^2)/3:Answer: m = (3 C)/(π d^2)
Is the gcf of any two even numbers always even?
Answers
the gcf can be found by factoring the 2 numbers and finding the factors common to both
any even number can be represented as 2n where n is an integer
so 2 even numbers are 2n and 2m
their factored form will be 2*n and 2*m, currently, their greatest common factor is 2*c where c is the gcf of n and m
and the gcf has to be an integer so c is an integer and therfor the gcf of 2n and 2m is even because it is 2c
yes, it is always even
Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?
Answers
Then $2.99x+$12.99y=$43.92.
Answer:
2.99x + 12.99y = 43.92
Step-by-step explanation:
Here, x represents the number of pairs of socks purchased, and let y represents the number of blouses purchased.
Since, the cost of each pair of socks is $ 2.99 and the cost of a blouse is $ 12.99,
Thus, the total cost of x pairs of socks and y blouses = ( 2.99x + 12.99y ) dollars,
According to the question,
Total cost is $43.92,
⇒ 2.99x + 12.99y = 43.92
Which is the required equation.
15 greater than blank divided by 400
Answers
15 more than A (blank) / 400
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F - G) (6) =
Answers
The ordered pair (6, 9) in the definition of G tells you G(6) = 9.
(F-G)(6) = F(6) - G(6) = 8 - 9 = -1
Thanks for the explanation mate that was helpful^^
What is the base 8 representation of 112
Answers
Answer:
160^8
Step-by-step explanation:
The base 8 representation of 112 is 160.
Explanation:The base 8 representation of 112 is 160.
To convert a number to base 8, you can divide the number by 8 repeatedly and write down the remainders in reverse order.
Here's the step-by-step process:
Divide 112 by 8: 112 ÷ 8 = 14 with a remainder of 0.Divide 14 by 8: 14 ÷ 8 = 1 with a remainder of 6.Divide 1 by 8: 1 ÷ 8 = 0 with a remainder of 1.Write down the remainders in reverse order: 160.
For any integer x, x squared -x will always produce an even value
Answers
The square of an even number will generate an even number and
The square of an odd number will generate an odd number
Answer:
[tex](x^2 - x)[/tex] will always have an even value.
Step-by-step explanation:
We are given an integer x.
Let x be even, then it can be written in the form x = 2n, where n is an integer.
If we evaluate,
[tex](x^2 - x) = (2n)^2 - 2n = 4n^2 - 2n = 2(2n^2 - n)[/tex]
Thus, it have an even value.
If we take x to be an odd integer, then,it can be written in the form x = 2n+1, where n is an integer.
[tex](x^2 - x) = (2n+1)^2 - 2n = 4n^2 + 2n = 2(2n^2 + n)[/tex]
Thus, it have an even value.
Thus,
[tex](x^2 - x)[/tex] will always have an even value.
What substitution should be used to rewrite 4x12 – 5x6 – 14 = 0 as a quadratic equation? u = x2 u = x3 u = x6 u = x12
Answers
Answer: [tex]u=x^6[/tex]
Explanation:
A quadratic equation is an equation written in the form
[tex]au^2 + bu + c=0[/tex] (1)
where a,b,c are coefficients and where u is the variable.
Our original equation is:
[tex]4x^{12} - 5x^6 -14=0[/tex]
If we make the substitution [tex]u=x^6[/tex], we obtain
[tex]4u^2 -5u-14 =0[/tex]
Which corresponds to eq.(1), with coefficients a=4, b=-5, c=-14.
When is estimation an effective way to determine an answer
Answers
F = 3.5 x is a linear relationship. what data would you plot along the y-axis, the x-axis?
Answers
Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $20,400 and the 11th year his income was $31,400. In which year was his income $40,200?
Answers
Joe's income was $40,200 in the 18th year.
Explanation:To find the year in which Joe's income was $40,200, we need to determine the rate at which his income increases each year.
Given that his income increased by the same dollar amount each year, we can calculate the increase by subtracting his income in the first year from his income in the 11th year: $31,400 - $20,400 = $11,000.
Next, we can divide the increase in income by the number of years to find the increase per year: $11,000 ÷ 10 = $1,100.
Finally, to find the number of years it takes for his income to reach $40,200, we can divide the difference between $40,200 and $20,400 by the increase per year: ($40,200 - $20,400) ÷ $1,100 = 18.
Therefore, Joe's income was $40,200 in the 18th year.
what is the average group numbers for 85,92,84,85,96,95
Answers
(85 + 92 + 84 + 85 + 96 + 95)/6 = 537/6 = 89.5
you're answer is 89.5 as average
hope this helps
round 141080 to the nearest ten
Answers
evaluate the numerical expression 8×{[(7+4)×2]-(11-7)×4]}
Answers
8x(22 - 4 x 4)
8x(22 - 16)
8x6 = 48
18/x = 6/10 please put the work this question is hard
Answers
(18)(10)= 6x
180=6x
Divide both sides by 6
30=x
Final answer: x=30
The ordered pair (3, –1) is a solution of which system?
Answers
y < = x + 1.....(3,-1)...x = 3 and y = -1
-1 < = 3 + 1
-1 < = 4 (correct)
y > = -2.....(3,-1)....y = -1
-1 > = -2 (true)
so ur answer is the first one
To determine the system of equations to which the ordered pair (3, –1) is a solution, we must find equations where substituting 'x' with 3 and 'y' with –1 produces true statements for both equations in the system.
Explanation:The question pertains to finding the system of equations for which the ordered pair (3, –1) is a solution. To determine the correct system, we would need to identify equations that have both 'x' and 'y' variables. An ordered pair is composed of an 'x' coordinate and a 'y' coordinate, following the form (x, y). In this case, the 'x' value is 3, and the 'y' value is –1. If the ordered pair (3, –1) is a solution to a system of linear equations, it must satisfy both equations in the system. This means that when we substitute 'x' with 3 and 'y' with –1 into each equation, the equations should hold true.
For example, if we have a system of equations:
y = 2x - 7y = -x + 2Substituting 'x' with 3 and 'y' with –1 into both equations, we get:
–1 = 2(3) - 7, which simplifies to –1 = 6 - 7 and further to –1 = –1–1 = -3 + 2, which simplifies to –1 = –1Since the ordered pair (3, –1) satisfies both equations, then (3, –1) is a solution to this system. To identify the system of equations the ordered pair belongs to, you would similarly test the pair in the given systems to see which one(s) it satisfies.
In 1934 there was an extreme drought in the great plains. In the number 1934, is the value of the 9 in the hundreds place ten times the value of the 3 in the tens place?
Answers
1,000 + 900 +30 +4
so the value of the 3 is 30, of the 9 is 900 and of the 1 is 1000.
900 is indeed 10 times 30, so
"the value of the 9 in the hundreds place ten times the value of the 3 in the tens place"
Answer: true
A bag of fertilizer covers 2500 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 410 feet by 65 feet.
Answers
Rectangular lawn is 410 x 65. Area= lw=(410)(65)=26650
26650/2500=10.66 so since we cannot purchase .66 of a bag, we will need 11 bags.
Answer:
11 bags
Step-by-step explanation:
Let x bags of fertilizer should be purchased.
The dimension of rectangular lawn is 410 feet by 65 feet.
The area of rectangle is given by
Area = length × width
Thus, the area of rectangular lawn is
Area = 410 × 65
Area = 26650
Now, one bag of fertilizer covers 2500 square feet of lawn.
Thus, we have
[tex]\frac{1}{2500}=\frac{x}{26650}\\\\2500x=26650\\\\\x=\frac{26650}{2500}\\\\x=10.66[/tex]
Hence, the required number of bags = 11.