A perfect cube is a number that is the cube of an integer. For example, 125 is a perfect cube since 125 = 5 × 5 × 5= [tex]5^{3}[/tex]. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..
16 does not have a perfect cube, but does have a perfect square 4×4=16
Isabella is going to a carnival that has games and rides. Each game costs $2 and each ride costs $4. Isabella spent $40 altogether on 15 games and rides. Graphically solve a system of equations in order to determine the number of games Isabella played, x, and the number of rides Isabella went on, y.
Answer: (10,5)
Step-by-step explanation:
You have to graph it but the equations are
x+y=15 (total number of games and rides)
2x+4y+40 (total money spent)
first equation is also y= -x+15
second is 4y= -2x+40
y= -.5x+10
So graph y= -x+15 and y= -1/2x+10 and where the lines cross is your answer
also -x+15= -.5x+10
15=.5x+10
5=.5x
10=x
10+y=15
y=5
(10,5)
calculate the area of a rectangle with length of 8m and a width of 4m
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{32 \: {m}^{2} }}}}}[/tex]
Step-by-step explanation:
Given,
Length of a rectangle( l ) = 8 m
Width of a rectangle ( w ) = 4m
Area of a rectangle ( A ) = ?
Finding the area of a rectangle having a length of 8m and a width of 4m
[tex] \boxed{ \bold{ \sf{area \: of \: a \: rectangle = length \times width}}}[/tex]
plug the values
⇒[tex] \sf{ area \: of \: a \: rectangle = 8m \times 4m}[/tex]
Multiply the numbers : 8 and 4
⇒[tex] \sf{area \: of \: a \: rectangle = 32 \: {m}^{2} }[/tex]
Hope I helped!
Best regards!!
The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than second. How much did each person receive? 1st person: 2nd person: 3rd person: show work
Answer:
1st person: $432nd person: $853rd person: $96Step-by-step explanation:
Let a, b, c represent the amounts received by the first, second, and third person, respectively.
2a-1 = b
c = b+11
a + b + c = 224
Substituting for c, we have ...
a + b + b+11 = 224
a +2b = 213
Substituting for b, we have ...
a +2(2a -1) = 213
a +4a -2 = 213 . . . . . eliminate parentheses
5a = 215 . . . . . . . . . . add 2
a = 43 . . . . . . . . . . . . .divide by 5
b = 2a -1 = 2(43) -1 = 85
c = b +11 = 85 +11 = 96
The amounts received were ...
1st person: $432nd person: $853rd person: $96
Machine A takes a hours to make 100 bolts, and machine B takes b hours to make 100 bolts. How many
bolts will the two machines, working together, make in one hour?
Answer:
100(1/a + 1/b)
Step-by-step explanation:
Machine A takes a hours to make 100 bolts
Then machine A makes 100/a bolts in one hourMachine B takes b hours to make 100 bolts
Then machine B makes 100/b bolts in one hourTwo machines will make:
100/a + 100/b = 100(1/a + 1/b)bolts in one hour
7- (-11) =
I need the answer to this question
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Since two negative sign = positive sign
Therefore,
7 + 11 = 18
hope it helps
Solve for r V=1/3πh²(3r-h)
Rewrite the equation:
1/3 ⋅ ( πr2 ( 3r−h )) = V.
Can anyone help me out with this please
Given that 1 inch = 2.54 cm, how many centimeters are there in 8 feet? Answers may be written using decimal form and should be rounded to the nearest hundredth when necessary.
Answer:
There is 243.84 cm in 8 feet.
Step-by-step explanation:
We have:
1 inch = 2.54 cm
1 feet = 12 inch
We can find the number of centimeters (n) present in 8 feet as follows:
[tex] n = \frac{2.54 cm}{1 inch}*\frac{12 inch}{1 ft}*8 ft = 243.84 cm [/tex]
Therefore, there is 243.84 cm in 8 feet.
I hope it helps you!
Answer:
243.84
Step-by-step explanation:
what is the standard form equation of the line shown below?
y + 1 = 1/2(x + 3)
y=1/2x+5/2
-x + 2y = 1
x-2y = -1
Answer:
- x + 2y = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (3, 2)
m = [tex]\frac{2-0}{3+1}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex], thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 2) , then
2 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 2 - [tex]\frac{3}{2}[/tex] = [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form
Multiply through by 2
2y = x + 1 ( subtract x from both sides )
- x + 2y = 1 ← in standard form
After three years, the value of a new car decreased from $25,000 to
$14,000. What was the percent decrease in the value of the car?
Answer:
56% decreaseStep-by-step explanation:
In this problem we are required to find the percentage decrease in the value of a car that originally cost $25,000
if the present value is now $14,000
we can solve for the percentage decrease by presentment the original cost of the car by the original cost and multiplying by 100
i.e = (14,000/25,000)*100
= (14/25)*100
= 0.56*100
= 56%
Hence the value of the car has decreased by 56%
у/36 = 15/24 can someone walk me through this please?
Answer:
22¹/²
Step-by-step explanation:
y/36=15/24
cross multiply
y×24=36×15
24y=540
divide both sides by 24
y=540/24
y=22¹²/²⁴
break it down
y= 22¹/²
Answer:
22.5
Step-by-step explanation:
cross multiply
y/36 = 15/24
y×24 = 36×15
y×24 = 540
take 24 on the other side and divide it by 540
y = 540/24
y = 22.5
An airplane flew across the Pacific Ocean. The table shows the amount of time and the distance traveled when the airplane was traveling at a constant speed. What is the distance traveled for 2 hours? *
Answer:
Step-by-step explanation:
time(hours) | distance traveled(miles)
_____________|_______________________
2 | 1100
_____________|_______________________
3 | 1650
_____________|_______________________
6 | 3300
The distance covered by the airplane after 2 hours given a constant speed is 1100 miles
Since, the speed of the plane is said to be constant ;The speed of the plane can be calculated from the information in the table thus : Speed = distance ÷ time Distance traveled = 1650 miles ; time = 3 hours Speed = 1650 / 3 = 550 miles per hour Hence, the speed of the airplane = 550 miles per hour Distance covered in 2 hours will be : (Speed × time) Distance covered in 2 hours = (550 × 2) = 1100 milesThe distance covered by the plane in 2 hours is 1100 miles
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If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find the 15th term?
Answer:
15th term = 116
Step-by-step explanation:
a= 4
Sum of an A.P = n/2 {2a + (n-1)d}
sum of first five term is equal to one-fourth of the sum of the next five term
5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d
5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}
40/2 + 20/2d = 1/4{ 40 + 45d)
20 + 10d= 40/4 + 45/4d
20 + 10d = 10 + 45/4d
20 - 10 = 45/4d - 10d
10 =45d - 40d /4
10 = 5/4d
Divide both sides by 5/4
10 ÷5/4 = d
10×4/5 = d
40/5 = d
8 = d
d= 8
Find the 15th term
15th term = a + (n-1)d
= 4 + (15-1)8
= 4 + (14)8
= 4 + 112
= 116
The 15th term is 116
-(-5/2x+1)+3/5x=-8 solve for x
Answer:
x=−70/31
thats the answer
HEEEEELP!!!!!!!!!!!!!11 I WILL MARK BRAINLIEST kx-3y=4 4x-5y=7 k is constant and x and y are variables, for what value of k will the system of equations have NO SOLUTION??? A. 12/5 B. 16/7 C. -16/7 D. -12/5 also side question, how do you find out if an equation has 1 solution or no solution or infinite solutions???
Answer:
A. ¹²/₅Step-by-step explanation:
There is no solution for system of equations: [tex]a_1x+b_1y=c_1\\a_2y+b_2y=c_2[/tex]
if: [tex]a_1=a_2\quad and\quad b_1=b_2\quad and\quad \bold{c_1\ne c_2}[/tex]
so first, we we need to transform the equations to the form where the coefficients at y will be the same:
[tex]kx-3y=4\\ 4x-5y=7\\\\ (kx-3y)\cdot5=4\cdot5\\ (4x-5y)\cdot3=7\cdot3\\\\ 5kx-15y=20\\ 12x-15y=21[/tex]
Now we have b₁=b₂ and c₁≠c₂ so the system has no solution if a₁=a₂
5k = 12
÷5 ÷5
k = ¹²/₅
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?What is the value of x? A) 13.0 units B) 28.8 units C) 31.2 units D) 33.8 units i know its not B
Answer:
C) 31.2
Step-by-step explanation:
The length of AB can be found from the Pythagorean theorem:
AB² = AD² +BD²
AB = √(25 +144) = 13
All of the right triangles are similar, so ...
BC/BD = AB/AD
BC = BD(AB/AD) = 12(13/5)
BC = 31.2 . . . units
Answer:
C
Step-by-step explanation:
The model represents an inequality
Answer:
A) x≤-5
Step-by-step explanation:
4x+12≤-8
4x≤-20
x≤-5
Answer:x <_>Step-by-step explanation:
How can you use the properties of operations to evaluate this expression? 18 + 4(28)
You can use the commutative property to rearrange the problem like this, 18 + 28 * 28 * 28 * 28 = 130
Basically, you can use the properties of operations to solve 18 + 4(28) in various ways. Though whichever operation you apply must give you the same result. The result of 18 + 4(28) is 130.
Step-by-step explanation:The four basic types of properties of operations are commutative, associative, distributive and identity. These properties only apply to the operations of addition and multiplication.
According to the purplemath site, "The word 'commutative' comes from 'commute' or 'move around', so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is 'a + b = b + a'; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is 'ab = ba'; in numbers, this means 2×3 = 3×2."
According to the splashlearn site, "the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the sum does NOT change irrespective of how the addends are grouped. Here's another example. ( 75 + 81 ) + 34."
According to the mathwarehouse site, "In general, this term refers to the distributive property of multiplication which states that the. Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products."
According to the math site, "Identity property. The identity property for addition tells us that zero added to any number is the number itself. Zero is called the 'additive identity.' The identity property for multiplication tells us that the number 1 multiplied times any number gives the number itself."
Answer:
Sample response: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.
Step-by-step explanationWhich reasons did you include in your response? Check all that apply.
The distributive property can be applied to multiply 4(28) mentally.
The number 28 can be expanded to 20 + 8.
The commutative property can be applied to reverse the order of numbers.:
hope this helps \_(-^-)_/
what is 0.86 x 0.24 help me with this.
Answer:
0.86 x 0.24 = 0.2064
Step-by-step explanation:
9 more than 6 times a number is 3
Greetings from Brasil...
According to the statement of the question, we can assemble the following equation:
9 + 6X = 3
6X = - 6
X = - 1
Find the measure of AB if B is the midpoint of AC and AB = 2x - 4 and AC = 28
Answer:
AB=14
Step-by-step explanation:
First you write the equation 2(2x-4)=28 because if b is the midpoint then AB is half of the line so you multiply that half by two the make it equal to the whole line.
Then you distribute the two and get 4x-8=28.
Then you add 8 to 28 and get 36.
Then you divide 36 by 4 because the 4 and x are being multiplied together so you have to divide to get them apart.
So then you get x=9 and you aren't done yet because you have to plug x into 2x-4.
So it is 2(9)-4 which is 18-4 which equals 14.
2
Ellie drove at a constant rate of 60 miles per hour. She drove for a hours before lunch and for b hours
after lunch. The total number of miles she drove can be expressed as 60(a + b) or as 60a + 60b.
Describe the meaning of each expression.
Answer:
60(a+b) means that you would have to distribute
While 60a+ 60b is already in it's simplest form
Complete the missing value in the solution to the equation.
( ? , 8 )
2x + 3y = 12
Answer:
-6
Step-by-step explanation:
x=?
y=8
2x + 3y = 12
=>2x+(3 *8)= 12
=>2x+24 =12
=>2x=12-24
=>x=-12/2
=>x=-6
whats it called when 1 angle = 180 degrees
Answer:
It's called a straight angle, it's a straight line.
Step-by-step explanation:
Literally a straight line.
Answer:
Straight angle ..
Maya is going to an amusement park. The price of admission into the park is
$10, and once she is inside the park, she will have to pay $2 for every ride she
rides on. How much money would Maya have to pay in total if she goes on 15
rides? How much would she have to pay if she goes on r rides?
There are 8 more boys than girls in the class. If there is a total of 32 students in the class, how many are boys
Answer:
There will be 24 boys, 32 -8 = 24
Step-by-step explanation:
In the class there is 20 boys.
What are monomials, binomials, polynomials ?All these are alzebraic expressions. A monomial consists of only one term, binomial contains two terms and a polynomial is when the number of terms is two or more than two.
In the given question
There are 8 more boys than girls in a class of total 32 students
let the number of girls be x according to the given data boys will be (x + 8)
∴ {x + (x+8)} = 32
2x + 8 = 32
2x = 24
x = 12
∴ the no. of girls = 12 and no. of boys = 12+8 = 20.
Learn more about Polynomials here :
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20(-1) - (-4) (-5)
2 [-12 + (-3 - 3)]
Plz help I don’t understand
Answer: The answer is 700
Step-by-step explanation:
I hope is right?
Answer:
1. 20(-1) - (-4) (-5)= -40
2.[-12 + (-3 - 3)]= -18
Step-by-step explanation:
20(-1) - (-4) (-5)
=(20 * -1) - (-4 * -5)
(When 2 numbers are written next to each other in brackets without any sign in between them, it means multiplication)
=(-20) - (20)
= -20 -20
= -40
----------------------------------------------------------------------------------------------
[-12 + (-3 - 3)]
=[-12+(-6)]
=[-12-6]
= -18
A farmer has 2,928 strawberries. He has 24 boxes and wants an equal number of strawberries in each
box. How many strawberries are in each box? Show your work below.
Answer:
Answer:
122 strawberries
Step-by-step explanation:
divide 2928 by 24 to get the number of strawberries in each box
........Median vs mean?
The mean is affected by the skewness, whereas the median is not.
==================================
Let's go through the answer choices to see which are true and which are false.
A. True. The mean takes account of all the values since we sum all the values and divide by the number of values. The median only looks at the middle most value. The median does not take into account any other value. So the outliers can move wherever you want and the median will not be affected.B. False. It depends on what the context of the situation is. Both measures of center have their strengths and weaknesses. The median is only preferred if there are outliers. That way we get a sense of where the center is and know that the center isn't being pulled on by the outliers. A good example is home real estate as this problem mentions.C. False. The mean is larger than the median if the data is skewed right. Skewed right data means we have a large outlier(s) to the right side pulling the mean toward that location. An example would be having homes in some range of say 50 to 100 thousand, and then an outlier mansion would have a price of 20 million dollars. This skews the mean to be larger than it should be (when it should be somewhere between 50 and 100 thousand). Note: sometimes a trimmed mean is used instead of the medianD. False. The mean should only be used if we don't have any outliers at all. In other words, the mean should only be used if the data is not skewed left and not skewed right either. E. False. This computes the midrange and not the median. In my experience with many stats problems, the midrange doesn't really come up that often. Though I could just have a limited viewpoint of course.Sophia says that you can solve the problem in the example by multiplying both quantities in the ratio 60:36 by 1/6. is Sophia correct? Explain.
Answer:
Sophia is not correctStep-by-step explanation:
This is a ratio problem and Sophia is expected to simplify the ratio by finding the smallest possible values and not to compound it by multiplying by some values
We can represent the given ratio 60:36 as a fraction.
60/36
we proceed to reduce the fraction by dividing both the numerator and the denominator by a common factor say 6
10/6
We can further reduce with a common factor of 2
5/2
re-writing the ratio we have 5:2