The bar of chocolate should be broken [tex]\boxed{\bf 71\text{\bf\ times}}[/tex], so that it is separated into individual squares.
Further explanation:
Given that the bar of chocolate is eight pieces high and nine pieces long.
First break the chocolate horizontally [tex]7\text{ times}[/tex] since, it is eight pieces high.
Now, the broken piece of chocolate is divided into nine single strips of eight pieces each.
Each nine single strip is broken [tex]8\text{ times}[/tex].
Therefore, total number of times the chocolate bar is broken is calculated as follows:
[tex]\begin{aligned}\text{Total number of times}&=7+(8\cdot 8)\\&=7+64\\&=71\end{aliogned}[/tex]
Thus, [tex]71\text{ times}[/tex] the bar of chocolate is broken so that it is separated into individual squares.
Now, break the chocolate vertically [tex]8\text{ times}[/tex] since, it is nine pieces long.
Now, the broken piece of chocolate is divided into nine single strips of nine pieces each.
Each nine single strip is broken [tex]7\text{ times}[/tex].
Therefore, total number of times the chocolate bar is broken is calculated as follows:
[tex]\begin{aligned}\text{Total number of times}&=8+(9\cdot 7)\\&=8+63\\&=71\end{aliogned}[/tex]
Thus, [tex]71\text{ times}[/tex] the bar of chocolate is broken so that it is separated into individual squares.
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Counting
Keywords: Trick, treating, snagged, big bar, chocolate, eight pieces, nine pieces, long, high, break, separated, individual, squares, 71, 72, 49, 56.
Name the three labeled segments that are parallel to EF
Answer:B.) AB, CD, GH.
Step-by-step explanation:
Given: 5x+3> 4x+7 Choose the graph of the solution set
Answer:
First solve the inequality to determine the solution set. Solving the inequality we have
[tex]5x+3>4x+7[/tex]
[tex]5x-4x>7-3[/tex]
[tex]x>4[/tex]
Then, the solution set is [tex]\{x\in \mathbb{R}\lvert x>4\}=(4,\infty)[/tex]. The solution is the interval [tex](4,\infty)[/tex] and it can be represented by the following graph.
Step-by-step explanation:
Answer:
x > 4 is a solution to the given inequality.
Step-by-step explanation:
We are given an inequality in the question.
[tex]5x+3> 4x+7[/tex]
We have to graph this inequality.
In order to graph this inequality, we first solve the inequality.
Solution to inequality:
[tex]5x+3> 4x+7\\5x>4x + 7-3\\5x>4x+4\\5x-4x>4\\x>4[/tex]
In interval form we can write the solution as:
[tex]x \in (4, \infty)[/tex]
The attached image shows the graph for the given inequality.
The dotted line on the graph shows that the points on the line does not belong to the solution set.
All the points in the red shaded region is a solution he given inequality.
An expression is Show : 6x(4+2x4)+10 what is the value of the expression
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
13.4 units
17.9 units
26.8 units
40.0 units
find the value of the underlined 9 10,698
A group of fans at a football game are sitting in 7 rows with 28 in each row. In the center, a section of 14 fans in 3 rows and a section of 11 fans in 3 rows have cards spelling out the team name. How many fans do not have a card?
Out of 196 fans, 75 fans have cards. Therefore, 121 fans do not have a card.
Explanation:The question is asking how many fans do not have a card at a football game. Initially, there are 7 rows of fans with 28 fans in each row, which gives us 196 fans in total (7 * 28). In the center, there are two sections where fans have cards. The first section has 14 fans in 3 rows, which equates to 42 fans (14 * 3), and the second section consists of 11 fans in 3 rows, which makes 33 fans (11 * 3). So, the total number of fans with cards is 75 (42 + 33). To find out how many fans do not have a card, we subtract the number of fans with cards from the total number of fans. Therefore, the answer is 196 - 75 = 121 fans.
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what is the highest point from turpan pendi china -154m and mt Everest 8850m
By graphing the system of constraints, find the values of x and y that maximize the objective function.
x+y≤8
2x+y≤10
x≥0
y≥0
Can someone explain to me how to solve this/these types of problems? Don't just answer it, explain.
Subtract.
16−(−713)
Enter your answer, as a mixed number in simplest form, in the box.
What two square numbers have a difference of 55
Write an algebraic expression that illustrates the multiplicative identity.
what is the slope of the line that connects the points (1,3)and (2,2)
Brad has a stack of 7 books on his desk. Each book is 1 and 7/8 inches thick.How tall is the stack?
Answer:
uuuuuuu
Step-by-step explanation:
10. Rosa received a monthly raise of $162.50. If this represented a 6.5% increase, what is her monthly salary after the raise?
Answer:
$137.5
Step-by-step explanation:
First, you need to divide $162.50 by 6.5
If you divide correctly you should get 25
Since that month she got an increase, which means you have to subtract 25 from $162.50.
Answer: $137.5
Solve the following quadratic trig equations algebraically (without graphing technology) for the domain 0 ≤ x ≤ 360°. Use exact solutions whenever possible. 6cos2(θ) + cos(θ) - 1 = 0 2 - 2sin2(θ) = cos(θ)Solve the following quadratic trig equations algebraically (without graphing technology) for the domain 0 ≤ x ≤ 360°. Use exact solutions whenever possible. A. 6cos2(θ) + cos(θ) - 1 = 0 B. 2 - 2sin2(θ) = cos(θ)
solve the equation for y.
xy-7y=49
The solution of the given equation xy-7y=49 for y is y = 49/(x-7) for all values of x not equal to 7.
To solve the equation xy-7y=49 for y, first we can factor out y from the left side of the equation which gives us y(x-7)=49.
Then we can isolate y by dividing both sides of the equation by (x-7).
This gives us y = 49/(x-7).
This solution assumes that x is not equal to 7 because division by zero is undefined.
Hence, the solution is y = 49/(x-7) for x ≠ 7.
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steps for solving 3x+18=54 are shown explain how step 1 helps solve the equation.
Answer:
Option C is correct
Subtracting 18 from both sides isolates the variable term
Step-by-step explanation:
Given an equation:
[tex]3x+18 = 54[/tex]
Subtract 18 from both sides we get;
Step 1.
[tex]3x+18-18 = 54-18[/tex]
Simplify:
Step 2.
[tex]3x = 36[/tex]
Divide both sides by 3 we have;
Step 3.
[tex]\frac{3x}{3}=\frac{36}{3}[/tex]
Simplify:
Step 4.
x = 12
Therefore, Subtracting 18 from both sides isolates the variable term in step 1 helps to solve the equation.
(CESGRANRIO) Determine o parâmetro m na equação x²+mx+m²-m-12=0, de modo que ela tenha uma raíz nula e outra positiva.
The volume of 1000 drops of a liquid is 0.1 fluid ounce.
What is the volume of 10,000 drops?
Final answer:
To find the volume of 10,000 drops, if 1000 drops equal 0.1 fluid ounce, we multiply the volume by 10 to get 1.0 fluid ounce.
Explanation:
The volume of 10,000 drops of a liquid, when 1000 drops is equivalent to 0.1 fluid ounce, can be calculated using a simple ratio. If 1000 drops equal 0.1 fluid ounce, then we can multiply both the number of drops and the volume by 10 to find the volume of 10,000 drops:
1000 drops = 0.1 fluid ounce
10,000 drops = 1.0 fluid ounce (since 0.1 fluid ounce x 10 = 1.0 fluid ounce)
Therefore, the volume of 10,000 drops is 1.0 fluid ounce.
What property did Ramon use? 150+214+89=214+89+150
Ramon used the Commutative Property of Addition in the equation 150+214+89=214+89+150. This property indicates that the order in which numbers are added doesn't affect the result.
Explanation:In the given equation, 150+214+89=214+89+150, Ramon is using an important property of addition known as the Commutative Property. The Commutative Property of Addition states that the order in which numbers are added does not change the sum. For example, if we have two numbers, 5 and 3, adding them in any order (5+3 or 3+5) will always give us the same result, which is 8. Hence, in this question, whether you add 150, 214 and 89 in the given order or reverse, the sum remains the same. Therefore, you can see how Ramon made use of the Commutative Property to rearrange the numbers while still keeping the total sum the same.
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Solve the equation. 3|3k| = 27
A.) {-9, 9}
B.) {-3, 3)
C.) {-3, 9}
D.) -3 < k < 3
By applying basic property of modulus function we got value of k as 3 and -3
What is modulus function ?
Modulus function gives magnitude of a number . It's represented by |x|
Given equation
[tex]3|3k|=27\\[/tex]
we can simplify this equation as
[tex]|3k|= \frac{27}{3}\\\\|3k|=9[/tex]
As 3 is a positive number we can take it out from modulus as it is
[tex]3|k|=9\\\\|k| = \frac{9}{3}\\\\|k|=3[/tex]
As we know modulus function gives magnitude of a number so can k can be 3 and -3
By applying basic property of modulus function we got value of k as 3 and -3
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Question for you people.
What is 13 + c = -9(btw it's a negative 9)
I believe that c would equal -22
Hope this helps!
A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the funnel at any given time is 16.59375 cubic centimeters. Given this information, what is the volume of the partial cone that makes up the top part of the funnel?
Answer:
15.75 pi cm^3
Step-by-step explanation:
I got this question on a test and this was the right answer
3/12 = y/8 solve for y
Answer:
y = 2
Step-by-step explanation:
3/12 = y/8
=> y/8 = 3/12
=> y/8 = 1/4
=> y = 8/4
=> y = 2
The science department buys microscopes every 5 years, safety goggles every 4 years, and test tubes every 2 years. They bought all three items this year. In how many years will they have to buy all three items again.
Celia hiked at a constant rate of 15 miles per day for 6 days. How many miles did Celia hike during that time?
A. 200 mi.
B. 170 mi.
C. 100 mi.
D. 90 mi.
answer a,b, and c please
What is 6y=-3x+24 in Standard Form? If you could show your work, that’d be great!
Is 5.8 greater than fifty eight hundredths
What is another way to refer to ∠EFG ?
A.∠E
B.∠G
C.∠GFE
D.∠FGE
The answer is C: ∠GFE