Answer:
16
Step-by-step explanation:
Let x be the number of chocolates obtained by each student
Since the number of chocolates obtained by each student = the number of students in the class, then, number of students in the class = x
256/x = x
Multiply both sides by x
256 = x × x ( x squared)
Multipy powers raised on both sides by 1/2
X = 16
Is the square root of 42 rational or irrational? Explain
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Hi there!
~
[tex]\sqrt{42}[/tex] ≈ [tex]6.4807406984087...[/tex]
So [tex]\sqrt{42}[/tex] is irrational (since the decimal portion doesn't terminate or repeat)
❀Hope this helped you!❀
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(The other person copied there answer from google!)
3. Complete the following table with the mathematical statements that
4(x-3)
= 20.
3
correspond to the proofs used to solve
Proof
Statements
4(x - 3)
= 20
3
Given
Multiplication Property of Equality
Distributive Property
Addition Property of Equality
Answer:
Step-by-step explanation:
Question (3)
The given expression is,
[tex]\frac{4(x-3)}{3}=20[/tex]
Statements Proof
1). [tex]\frac{4(x-3)}{3}=20[/tex] 1). Given
2). [tex]4(x-3)=60[/tex] 2). Multiplication property of equality
3). 4x - 12 = 60 3). Distributive property
4). 4x = 72 4). Addition property of equality
5). x = 18 5). Division property of equality
Question (4)
Equations are,
5x + 10 = 30 ------(1)
5(x + 10) = 30 ------(2)
From equation (1),
5x + 10 = 30
5x = 30 - 10
x = 4
From equation (2),
5(x + 10) = 30
(x + 10) = 6
x = 6 - 10
x = -4
Therefore, solutions of both the equations are different.
Solve the following equation. 6x−15=4x+55 6 x − 15 = 4 x + 55
Answer:
x = 35
Step-by-step explanation:
Solve for x:
6 x - 15 = 4 x + 55
Hint: | Move terms with x to the left hand side.
Subtract 4 x from both sides:
(6 x - 4 x) - 15 = (4 x - 4 x) + 55
Hint: | Combine like terms in 6 x - 4 x.
6 x - 4 x = 2 x:
2 x - 15 = (4 x - 4 x) + 55
Hint: | Look for the difference of two identical terms.
4 x - 4 x = 0:
2 x - 15 = 55
Hint: | Isolate terms with x to the left hand side.
Add 15 to both sides:
2 x + (15 - 15) = 15 + 55
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
2 x = 55 + 15
Hint: | Evaluate 55 + 15.
55 + 15 = 70:
2 x = 70
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 x = 70 by 2:
(2 x)/2 = 70/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
x = 70/2
Hint: | Reduce 70/2 to lowest terms. Start by finding the GCD of 70 and 2.
The gcd of 70 and 2 is 2, so 70/2 = (2×35)/(2×1) = 2/2×35 = 35:
Answer: x = 35
Glados
spent the day at the mall, First, she bought
three bikes for $10 each. Later, she found 22
dollar bills. Write the total change
an integer.
to Glado's
funds as an integer ?
Answer:
3(10)+30
(-30) (the amount she lost) +22 (the amount she gained)= -8
Glados lost 8 dollars while at the mall.
Consider the following geometry problems in 3-space Enter T or F depending on whether the statement is true or false.1. Two planes parallel to a third plane are parallel 2. Two lines parallel to a plane are parallel 3. Two lines orthogonal to a third line are parallel 4. Two lines parallel to a third line are parallel 5. Two planes parallel to a line are parallel 6. Two lines orthogonal to a plane are parallel 7. Two lines either intersect or are parallel 8. Two planes either intersect or are parallel 9. Two planes orthogonal to a line are parallel 10. A plane and a line either intersect or are parallel 11.Two planes orthogonal to a third plane are parallel
Answer:
Step-by-step explanation:
1) Two planes parallel to a third plane are parallel - True
2) Two lines parallel to a plane are parallel - False
3) Two lines orthogonal to a third line are parallel - False
4) Two lines parallel to a third line are parallel - True
5) Two planes parallel to a line are parallel - False
6) Two lines orthogonal to a plane are parallel - True
7) Two lines either intersect or are parallel - False
8) Two planes either intersect or are parallel - True
9) Two planes orthogonal to a line are parallel - True
10) A plane and a line either intersect or are parallel - True
11) Two planes orthogonal to a third plane are parallel - False
Classify 2√by the subsets of the real numbers to which it belongs.
Select all that apply.
Natural
Rational
Real
Whole
Integer
Irrational
Divide the polynomials 3x^3+x^2-4x+12 over x+2
Answer:
[tex]3x^{2} -5x+6[/tex]
Step-by-step explanation:
Factor the numerator and it should be [tex](x+2)(3x^2-5x+6) / (x+2)[/tex]. Cancel out both the [tex]x+2[/tex] so that the denominator becomes a 1.
Jamie makes plates and bowls. She needs to ship 48 plates and 54 bowls to a store. She wants to ship the same number of items in each box. Plates and bowls are shipped separately. A.What is the greatest number of items she can ship in each box?
Answer: 6
Step-by-step explanation:
Given, Jamie needs to ship 48 plates and 54 bowls to a store.
If she wants to ship the same number of items in each box such that plates and bowls are shipped separately. .
then the greatest number of items she can ship in each box = GCD (48,54)
[GCD = Greatest common divisor]
Prime factorization of both numbers:
48 = 2 x 2 x 2 x 2 x 3
54 = 2 x 3 x 3 x 3
GCD (48,54)= 2 x 3 = 6
Hence, the greatest number of items she can ship in each box =6
Answer:6
Step-by-step explanation:
So here's the problem writen down.
48 = 2 x 2 x 2 x 2 x 3
54 = 2 x 3 x 3 x 3
GCD (48,54)= 2 x 3 = 6
What percent of 52 is 12 ? Round your answer to the nearest tenth .
Approximately 23. It is simple, but if you are asking because you don't know how to find it, divide the smaller number by the bigger number. Then, multiply this number by 100.
Hope I helped!
The perimeter of the rectangle below is 94 units. Find the length of side PS.
Write your answer without variables.
Answer:
PS = 26 units
Step-by-step explanation:
Perimeter of rectangle = 94
2(4z - 2 + 3z) = 94
2(7z - 2) = 94
14z - 4 = 94
14z = 94 + 4
14z = 98
z = 98/14
z = 7
QR = 4z - 2 = 4*7 - 2 = 28 - 2 = 26
PS = QR (Opposite sides of rectangle)
PS = 26 units
the function y=-x^2+2x-3 has a value of
Find the value of x by factoring.
What multiplies to -3 and adds to 2?
[tex]y=(x+3)(x-1)[/tex]
Meaning that the x-intercepts are at (-3,0) and (1,0).
Hope this helps.
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Six machines can polish 42 tables in one hour. What is the ratio of the number of machines to the number of tables polished in one hour?
Lenght of the room is 20ft and the width is 12ft what is the perimeter
Answer:
P=2(a+b)
=2(20+12)
=2×32
=64 feet
Step-by-step explanation:
The perimeter would equal 2l + 2w, which would lend to the equation 2(20) + 2(12), or 20 + 20 + 12 + 12 = perimeter.
Answer:
64ft.
Step-by-step explanation:
(20ft+20ft)+(12ft+12)= 64ft
Which multiplication equation can be used to explain the solution to 15 divided by 1/3
Answer:Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
33x33x33333333
Evaluate the geometric series or state that it diverges. sigma^infinity_k=0(8/9)^k Select the correct choice below and, if necessary, fill in the answer box to complete your choice. sigma^infinity_k=0(8/9)^k The series diverges.
The series converges, since |8/9| = 8/9 < 1.
Let [tex]S_n[/tex] denote the n-th partial sum of the series,
[tex]S_n=\displaystyle\sum_{k=0}^n\left(\frac89\right)^k[/tex]
[tex]S_n=1+\dfrac89+\left(\dfrac89\right)^2+\cdots+\left(\dfrac89\right)^n[/tex]
Multiply both sides by 8/9:
[tex]\dfrac89S_n=\dfrac89+\left(\dfrac89\right)^2+\left(\dfrac89\right)^3+\cdots+\left(\dfrac89\right)^{n+1}[/tex]
Subtract this from [tex]S_n[/tex] to eliminate all but the first term in
[tex]S_n-\dfrac89S_n=1-\left(\dfrac89\right)^{n+1}[/tex]
Solve for [tex]S_n[/tex]:
[tex]\dfrac19S_n=1-\left(\dfrac89\right)^{n+1}[/tex]
[tex]S_n=9-9\left(\dfrac89\right)^{n+1}[/tex]
As [tex]n\to\infty[/tex], the exponential term vanishes, so that
[tex]\displaystyle\lim_{n\to\infty}S_n=\sum_{k=0}^\infty\left(\frac89\right)^k=\boxed{9}[/tex]
How do we know if the line y=x has a postive slope?
The formula rho equals m over V, where ρ = density, m = mass, and V = volume, is used to calculate density. Solve this formula for m.
Answer: A
Step-by-step explanation:
The formula for mass , m= ρ* V
What is Density?Density, mass of a unit volume of a material substance.
The formula for density is d = M/V, where d is density, M is mass, and V is volume.
Given:
ρ = m/V
where
ρ = density, m = mass, and V = volume.
So, for solving for m we have
m= ρ* V
Hence, formula for mass , m= ρ* V.
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3/4 and 1/6 whats the least common denomiator
Answer:
The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It is the smallest positive integer that is a multiple of each denominator in the set. Fractions write with fraction bar / like 3/4 .
Step-by-step explanation:
(f - 5)(-2) + 111
Need help
The Answer is : -2f+121
13) Mark walks 3.4 miles per day. How
many days will it take him to walk 17.34
miles?
Answer:
5.1 days
Step-by-step explanation:
[tex]3.4 \: miles = 1 \: day \\ 17.34 \: miles \: = x \: days[/tex]
Cross Multiply
[tex]3.4x = 17.34[/tex]
Divide both sides of the equation by 3.4
[tex] \frac{3.4x}{3.4} = \frac{17.34}{3.4} [/tex]
[tex]x = 5.1[/tex]
Answer:
5 Days and 1 Hour
Step-by-step explanation:
3,4 per day
So, for 17.34 miles;
17.34/3.4 = 5 Days and 1 hour
-8v<-40
how do i answer this
Answer:
v>5
Step-by-step explanation:
you will divide by negative 8 causing the value sign to flip and that gives you 5
Can someone please help me out
Answer:
3/10. 0/0_____________
64.8 divided by 3.6
Answer:
The answer is 18.
Step-by-step explanation:
Putting it straight into the calculator as you see it gives you 18.
Answer:
18
Step-by-step explanation:
Hope this helps : )
Please help quickly!!:)) Appreciate it x+y=6 y+4=x Choices: (11/2, 1/2) (5, 1) (21/2, 11/2) (1, 5)
Answer:
B: (5,1)
Step-by-step explanation:
So we have the system of equations:
[tex]x+y=6\text{ and}\\y+4=x[/tex]
We can solve this system using substitution.
Substitute the second equation into the first. Use x. So:
[tex](y+4)+y=6[/tex]
Combine like terms:
[tex]2y+4=6[/tex]
Subtract 4 from both sides:
[tex]2y=2[/tex]
Divide both sides by 2:
[tex]y=1[/tex]
So, the value of y is 1.
To find x, substitute this back into the second equation:
[tex]y+4=x[/tex]
Substitute 1 for y:
[tex]1+4=x[/tex]
Add:
[tex]x=5[/tex]
Therefore, our answer is (5,1).
The answer is B.
And we're done!
Silas wrote a number as a fraction with an integer in both
the numerator and the denominator. Which of the following
statements correctly describes the number?
Select one:
It could be either rational or irrational
o
It must be rational and not irrational
o
It must be irrational and not rational,
It could be neither rational nor irrational
Answer:it must be irrational and not rational
Step-by-step explanation:
Answer this fast and I’ll make you Brainly!!!
Answer:
this is for the num 3 questions and above cuz im only in 4th grade and idk what this is: okay, 3: 6 times C. 4: x minus 1. 5. tdivided by 2. 6: 3 times t subtract 4
Step-by-step explanation:
What is the value of X
Answer:
x = 7
Step-by-step explanation:
The 2 angles add up to 180°, as the definition of a line.
8x - 46 + 10x - 8 = 180
18x - 54 = 180
18x = 126
x = 7
The sample observations on stabilized viscosity of asphalt specimens are 2781, 2900, 3013, 2856 and 2888. Suppose that for a particular application, it is required that true average viscosity be 3000. Does this requirement appear to have been satisfied? State and test the appropriate hypothesis at α = 0.05.
Answer:
there is no sufficient evidence to prove that viscosity is not 3000
Step-by-step explanation:
Let's state the hypothesis.
Null hypothesis; H0: μ = 3000
Alternative hypothesis; μ ≠ 3000
The sample mean is;
x = (2781 + 2900 + 3013 + 2856 + 2888)/5 = 2887.6
Standard deviation σ = √variance = √[(2781 - 2887.6)² + (2900 - 2887.6)² + (3013 - 2887.6)² + (2856 - 2887.6)² + (2888 - 2887.6)²)(1/(5 - 1))]
σ = √((1/4)(11363.56 + 153.76 + 15725.16 + 998.56 + 0.16)
σ = 84.026
Formula for test statistic is given as;
t = (x - μ)/σ
t = (2887.6 - 3000)/84.026
t = -1.338
From online p-value calculator from t value attached, using DF = 5 - 1 = 4, two tail and a significance level of 0.05,we have;
The p-value is 0.251896.
This is greater than the significance level of 0.05.
Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to prove that viscosity is not 3000
Evaluate 2 – 10+ 8- (-2).
Steps to solve:
2 - 10 + 8 - (-2)
~Simplify
2 - 10 + 8 + 2
~Subtract
-8 + 8 + 2
~Add
0 + 2
~Add
2
Best of Luck!
Answer:
2
Step-by-step explanation:
first you do this first (-2) then the 2 - is gone then 10 + 8- is 2
Greg is saving to buy a tablet that costs $235. He already has $25 saved up. Each week, Greg earns $15 babysitting and $25 as a cashier, but he spends $10 on lunches. Write and solve an equation to find how many weeks it will take Greg to have enough money saved to buy the tablet.
Answer:
235=30x-25
Step-by-step explanation:
235+25=30x-25+25
260=30x
260/30=30x/30
x=8.66 or 9 weeks
The equation is 30x + 25 = 235. And the number of weeks will be 7.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Greg is saving to purchase a tablet that costs $235. He as of now has $25 set aside. Every week, Greg procures $15 looking after children and $25 as a clerk, however, he burns through $10 on snacks.
Let x be the number of weeks. Then the equation is given as,
25x + 15x - 10x + 25 = 235
Simplify the equation, then the number of weeks is given as,
25x + 15x - 10x + 25 = 235
30x = 235 - 25
30x = 210
x = 210 / 30
x = 7 weeks
The equation is 30x + 25 = 235. And the number of weeks will be 7.
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