The value of 6 cube or 6×6×6 or 6³ is 216.
What is a perfect square number?A perfect square number when taken the square root of it results in an integer.
Numbers that are not perfect squares when taken the square root of it are irrational numbers.
One method of obtaining square roots for perfect squares is prime factorization.
Now, A perfect cube number is which when taken cube root results to an integer.
A number multiplied by itself by twice results in a cube of that number.
Therefore, The value of 6 cube would be 6 multiplied twice to itself, which is, = 6×6×6 = 36×6 = 216.
It can also be written as exponent form which is, 6³.
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Sylvia has 6 1/2 boxes of chocolate to share at a family picnic. If she gives each person 1/3 of a box, how many people can receive chocolate?
A. 13
B. 17
C. 19
D. 21
What is the value of x?
vertical angles equal each other
so you have
9x+12 = 3x +24
subtract 12 from each side:
9x = 3x+12
subtract 3x from each side:
6x = 12
divide both sides by 6
x = 12/6
x = 2
In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50
enrolled for English class, 60 enrolled for physics class. The student enrolled for English cannot
attend any other class , but student of mathematics and physics can take two courses at a
time. Find the number of students who have taken both physics and mathematics.
a. 40
b. 30
c. 50
d. 20
By applying set theory, we calculate that 40 students are enrolled in both mathematics and physics classes after excluding the 50 English students who cannot attend any other classes.
Explanation:To find the number of students who have taken both physics and mathematics, we can subtract the number of English class students from the total because they cannot be in the group that takes both of the other two classes.
So, we have a total number of students who can take math or physics, which is 150 - 50 = 100 students.
Since there are 80 students in mathematics and 60 in physics, the maximum number could be 80 if every physics student also took mathematics.
But because we only have 100 students to distribute between the two subjects (excluding the English students).
The actual number of students who took both courses will be the total number for math and physics classes (80 + 60) minus the number of students who can take these classes, which gives us ;
140 - 100 = 40 students.
Therefore, the answer is 40 students have taken both physics and mathematics classes. This corresponds to choice a.
36 divided by 21312 awnser
32 divided by 258.24
Which expression correctly represents "eight times the difference of four and a number"
Can someone please help me :)
if (93 x p) + 84 = 85 then please equals:
0
1/93
1/85
1/84
1
Using the principle of solving algebraic expressions, the value of p in the equation is 1/93
Given the expression :
(93 × p) + 84 = 85Solving the expression in bracket :
93p + 84 = 85
Subtract 84 from both sides to isolate 93p
93p + 84 - 84 = 85 - 84
93p = 1
Divide both sides by 93 to isolate p
93p/93 = 1/93
p = 1/93
Therefore, the value of p in the expression is 1/93.
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Which term is defined as a fee charged for the use of money? a. interest b. down payment c. principal d. default
String a is 35 centimeters long. String b is 5 times long as string a. Both are necessary to create a decorative bottle. Find the total length of string needed for 17 identical decorative bottles.
The total length of string needed to decorate 17 identical decorative bottle is 3570 cm or 35.7 m
Further ExplanationGiven:
String A is 35 cm longString B is 5 x string AQuestion
Total length of string needed for 17 identical decorative bottle?
String A = 35
String B = 5 x string A
= 5 x 35
= 175 cm
String B = 175 cm
We need to calculate total string needed for 1 decorative bottle
= String A + String B
= 35 cm + 175 cm
= 210 cm
The total length to decorate one bottle is 210 cm
To decorate 17 identical bottles, it would need:
= 210 x 17
= 3570 cm
Here is to solve the multiplication in standard algorithm method:
21
17 x
147
21 +
357
then adding the zero = 3570
To simplify the multiplication we just do the two digit numbers and then adding the zero later in the answer,
So, the total string needed for 17 identical decorative bottle is 3570 cm or 35.7 m
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What is the simplified value of the expression below?
3(8-4)+2x5.5
A.23
B.31
C.47
D.77
Answer:
its a
Step-by-step explanation:
4.5w=5.1w-30, how do I solve it
which behavior is important for keeping your skeletal system healthy ?
A. Avoiding medical checkups
B. Eating Well
C. Playing with an injury
D. Playing the same sport all year long
LeeAnn is 42 years old. Her son Markus is 2 years less than one-third of his mother's age. How old is Markus now? Let x = LeeAnn's current age.
A patrol unit has 13-gallon fuel tank and averages 15 miles per gallon of fuel used. If the officer assigned to the unit works four 10-hour shifts per week and typically drives 100 miles per shift. How much fuel will the officer's unit use in one week?
The officer's unit will use approximately 26.67 gallons of fuel in one week.
Explanation:To calculate the amount of fuel the officer's unit will use in one week, we need to determine the total distance driven in a week and then calculate the amount of fuel needed for that distance.
Since the officer works four 10-hour shifts per week, the total driving time in a week is 40 hours (4 shifts x 10 hours per shift). If the officer typically drives 100 miles per shift, then the total distance driven in a week is 400 miles (100 miles per shift x 4 shifts).
Now, let's calculate the amount of fuel needed for 400 miles at an average fuel economy of 15 miles per gallon.
Fuel used = Total distance driven / Fuel economy = 400 miles / 15 miles per gallon
Fuel used = 26.67 gallons
Therefore, the officer's unit will use approximately 26.67 gallons of fuel in one week.
How do I solve this problem
A mini laptop computer is on sale for 40% off the regular price of $450. how much is the discount?
a.
$18
b.
$27
c.
$180
d.
$270
The mini laptop is on sale for 40% off, the discount is 40% of the regular price then the discount could be 180 dollar.
How to calculate the third party discounts?Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.
Thus, we get:
Third party discount = Maturity value × R × T (R in decimal form).
WE have been given that the laptop is on sale for 40% off, the discount is 40% of the regular price.
Since they are asking for the discount and not the discounted price.
Discount
= 40% ×$450
= ⅖ ×$450
= $180
Thus, the option c is correct.
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what price for a pair of sandals is $49.95 in june. in august the price is 60% less.which expression gives the price of the sandals in august
Ernesto's bus arrived 51 minutes after he got to the bus stop. Determine what fraction of an hour Ernesto spent waiting for the bus. Write the fraction in the simplest form.
17/20 is the fraction of an hour Ernesto spent waiting for the bus
What is Fraction?A fraction represents a part of a whole.
Given that Ernesto's bus arrived 51 minutes after he got to the bus stop
We need to find the fraction of an hour Ernesto spent waiting for the bus
We know that 1 hour has 60 minutes.
Ernesto's waited 51 minutes out of 60 minutes or an hour.
So 51 minutes is the part and 60 minutes is the whole part
Then the fraction will be 51/60
51 and 60 are the multiples of 3.
Let us divide numerator and denominator by 3
17/20
Hence, 17/20 is the fraction of an hour Ernesto spent waiting for the bus
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Gerry spends $1.25 each day on lunch at school. On Friday's, she buys an extra snack for $0.55. How much money will she spend in two weeks
Gerry will spend $13.6 in two weeks
Further ExplanationFrom the problem given:
Gerry spend $1.25/day on lunch
Fridays spend extra $0.55
How much Gerry will spend in two weeks?
In one week, there are 5 school days
4 days (Monday to Thursday) Gerry spend $1.25/day
1 day, Fridays, Gerry spends $1.25+$0.55 = $1.80
So, in one week Gerry will spend :
= [tex]\boxed {(1.25 \times4) + 1.80\ }\\ =\boxed {5+1.80\ }\\ =\boxed {6.8\ }[/tex]
In two weeks, Gerry will spend :
[tex]=\boxed {2 \times 6.8\ }\\ =\boxed {13.6\ }[/tex]
When we are multiplying decimal numbers, the process the same as multiplying whole numbers except for the placement of the decimal point in the answer. In multiplying we don't need to line up the decimal point.
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A store wants to earn $100,000 this year.So far they have earned $82,052.How much more money will they have to earn to meet the goal.
What is the factorization of 3x2 – 8x + 5?
Answer:
[tex](x-1)(3x-5)[/tex]
Step-by-step explanation:
[tex]3x^2 - 8x + 5[/tex]
To factor it we use AC or splitting the middle term method
product is 3 times 5 is 15
Sum is -8
-3 times -5 is 15
-3 plus -5 is -8
Factors are -3 and -5
[tex]3x^2 -5x-3x+ 5[/tex]
Group first two terms and last two terms
[tex](3x^2 -5x)+(-3x+ 5)[/tex]
[tex]x(3x-5)-1(3x- 5)[/tex]
Factor out 3x-5
[tex](x-1)(3x-5)[/tex]
([20-2+(46-15)+2]-(9+4)
Which number is prime 15, 23, 45, or 51?
Answer: 51
Step-by-step explanation: A prime number is a number that is greater than 1 and it has two factors which are 1 and itself.
23 is a prime number because it has no other factors besides 1 and 23. In other words, there is no other number multiplied by a number than will equal 23 so we call it a prime number.
Solve the proportion.
x/4 = 2/5
x = ?
what is the smallest number
2.31
2.3
2.33
2.301
The price changes from $450 to $396 what is the percent change?
A. 13.6% increase
B. 13.6% decrease
C. 12% increase
D. 12% decrease
find the value of X. (x + 90) 4x°
The Zoo offers 5 boat tours and 8 train tours every day. How many tours will the train have made when the boat has made 35 tours? Make a table.
When the boat has made 35 tours, the train will have made 56 tours, based on the ratio 8 train tours for every 5 boat tours.
The question involves calculating the number of train tours when a given number of boat tours is reached, utilising basic multiplication and ratios. Since there are 5 boat tours and 8 train tours per day, for every boat tour, there are 8/5 train tours. To find out the number of train tours when there have been 35 boat tours, we multiply 35 by 8/5 which equals 56.
Here is the table showing the boat to train tour ratios:
Boat Tours 5,10,15,20,25,30,35
Train Tours 8,16,24,32,40,48,56
Therefore, when the boat has made 35 tours, the train will have made 56 tours.
Lake eyre in australia is approxinatley 50 feet below sea level. Which of the following best describes the location of lake Eyre as it relates to sea level?
+100
+50
0
-50
Plz help
The following best describes the location of lake Eyre as it relates to sea level is -50. Therefore, option D is the correct answer.
Given that, Lake Eyre in Australia is approximately 50 feet below sea level.
What is the sea level?Mean sea level is an average surface level of one or more among Earth's coastal bodies of water from which heights such as elevation may be measured.
Now, if the surface sea level is 0.
50 feet below sea level = 0-50=-50
The following best describes the location of lake Eyre as it relates to sea level is -50. Therefore, option D is the correct answer.
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Solve for w.
2w−5(w+1)=3w+1
Answer:
[tex]w=-1[/tex].
Step-by-step explanation:
We have been given an equation [tex]2w-5(w+1)=3w+1[/tex]. We are asked the equation for w.
Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:
[tex]2w-5w-5=3w+1[/tex]
[tex]-3w-5=3w+1[/tex]
Subtract 3w from both sides:
[tex]-3w-3w-5=3w-3w+1[/tex]
[tex]-3w-3w-5=1[/tex]
Combine like terms:
[tex]-6w-5=1[/tex]
Add 5 on both sides:
[tex]-6w-5+5=1+5[/tex]
[tex]-6w=6[/tex]
Divide both sides by -6:
[tex]\frac{-6w}{-6}=\frac{6}{-6}[/tex]
[tex]w=-1[/tex]
Therefore, our required equation would be [tex]w=-1[/tex].