A cube has sides that are all equal lengths .
Volume of a cube is S^3, where S is the length of the side.
Volume = 3^3 = 3 x 3 x 3 = 27 cubic inches.
The volume of box will be 27 inch³.
A square notepaper is stored in a cube shape box with an inside edge length of 3 inches.
We have to calculate the volume of the box.
What is the volume of a cube ?
The volume of a cube is the multiplication of the edge length (a) for three times i.e., a × a × a = a³ .
As per the question ,
Inside edge length of cube = 3 inches
So ,
the volume of box will be ;
= a × a × a
= 3 × 3 × 3
= 27 inch³
Thus , the volume of box will be 27 inch³.
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Simplify
[tex] \frac{7xy}{ {x}^{2} - 4x + 4 } \div \frac{14y}{ {x}^{2} - 4} [/tex]
I will mark it as the brainliest please answer this question
Answer:
The answer is
[tex] \frac{ {x}^{2} + 2x}{2x - 4 } [/tex]Step-by-step explanation:
[tex] \frac{7xy}{ {x}^{2} - 4x + 4 } \div \frac{14y}{x^{2} - 4} [/tex]
To simplify , factorize
x² - 4x + 4 and x² - 4
For x² - 4x + 4
Write - 4x as a difference
x² - 2x - 2x + 4
x( x - 2) - 2(x - 2)
(x - 2)(x - 2)
For x² - 4
use the formula
a² - b² = ( a+b)( a - b)
That's
x² - 4 = (x + 2)(x - 2)
So now we have
[tex] \frac{7xy}{(x - 2)(x - 2)} \div \frac{14y}{(x + 2)(x - 2)} [/tex]Change the division sign to multiplication sign and reverse the second fraction
That's
[tex] \frac{7xy}{(x - 2)(x - 2)} \times \frac{(x + 2)(x - 2)}{14y} [/tex]Simplify
We have
[tex] \frac{x}{(x - 2)(x - 2)} \times \frac{(x + 2)(x - 2)}{2} [/tex]Reduce the expression with x + 2
That's
[tex] \frac{x}{x - 2} \times \frac{x + 2}{2} [/tex]Multiply the fractions
[tex] \frac{x(x + 2)}{2(x - 2)} [/tex]We have the final answer as
[tex] \frac{ {x}^{2} + 2x }{2x - 4} [/tex]Hope this helps you
Find the coordinates of the midpoint of the segment given its endpoints.
3. A (5, 8 ) and B(-1,-4)
Answer:
(2, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ) , [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus
midpoint = [ [tex]\frac{1}{2}[/tex] (5 - 1), [tex]\frac{1}{2}[/tex] (8 - 4 ) ] = (2, 2 )
Which equation can be used to solve for x in the following diagram?
PLS ANSWER I NEED HELP BRAINLIST AND A THANK YOU WILL BE REWARDED
Answer:
D. 4x+5x=180
Step-by-step explanation:
Answer:
D. 4x + 5x = 180
Step-by-step explanation:
The two angles form a straight line and a straight line equals 180°. So, the sum of the two angles has to equal 180°.
4x + 5x = 180
9x = 180
x = 20°
Hope that helps.
A boy weighing blank kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is blank joules.
Answer:
His kinetic energy at the faster speed is 160 J
Step-by-step explanation:
Here in this question, we are interested in calculating the kinetic energy at the faster speed.
Firstly, we need to know the mass of the boy’s body. We can do this by using the kinetic energy formula;
Mathematically;
K.E = 1/2 * m * v^2
From the question;
K.E = 40 Joules
m = ?
v = speed = 2 m/s
Now, plugging these values into the kinetic energy equation, we have;
40 = 1/2 * m * 2^2
40 = 1/2 * m * 4
40 = 4m/2
4m = 40 * 2
4m = 80
m = 80/4
m = 20 kg
Now that we know the mass of the boy’s body, we can proceed to calculate the new K.E
Let’s follow the third statement in the question;
We were told that he doubles his speed upon sighting his friend.
Recall, he was traveling at a speed of 2 m/s.
Now doubling this means the new speed will
be 2 * 2 = 4 m/s
Now, we want to calculate the kinetic energy value at this new speed.
Mathematically, we use the same formula for kinetic energy.
K.E = 1/2 * m * v^2
We know that m is the mass that we calculated as 20kg and our v here is 4 m/s
Plugging these values, we have;
K.E = 1/2 * 20 * 4^2
K.E = (20 * 16)/2
K.E = 320/2
K.E = 160 J
Answer:
A boy weighing 20 kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is 160 joules.
A boom seller sold 50 books for $ 890.00 and earned a profit of $ 90.00. Find the cost price of 50 books.
Answer:
$ 800
Step-by-step explanation:
number of books sold = 50
money earned = $ 890.00
profit = $ 90.00
Then the price of 50 books will be (money earned) - (profit)
= 890 - 90
= 800
So, the cost of 50 books is $ 800
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
One hundred people, ages 11-15, were randomly surveyed to find their opinion of their favorite leisure time activity. Sixty-four percent of them said they liked to spend time watching TV. If there are 1500 students in your school, about how many of them would you predict would enjoy watching t.v. A.2343 B.960 C.640 D.500
Answer:
If there are 1500 students in your school then 960 students would enjoy watching TV
Step-by-step explanation:
Step 1: We know that 64% of kids aged from 11 to 15 enjoy watching TV and there is 1500 students in your school
Step 2: We now want to find 64% of 1500, we can rewrite 64% as 0.64. We multiple 1500 by 0.64 to find out how many students enjoy watching TV
0.64 x 1500 = # of students who like watching TV
960 = # of students who like watching TV
Therefore out of 1500 students, 960 would enjoy watching TV
I need help on this :(
Answer:
26⁹
Step-by-step explanation:
26 * 26⁸
= 26¹ * 26⁸
= 26¹⁺⁸
= 26⁹
A paintball court charges an initial entrance fee plus a
fixed price per ball.
P represents the total price (in dollars) as a function of
the number of balls used n.
P=0.80n + 5.50
What is the price for 10 balls, not including the
entrance fee?
$....
Answer:
$8
Step-by-step explanation:
Firstly, Let us identify the variables in the functions.
The function states that for every n ball, the price is $0.80. Plus the $5.50.
Now that we know what the function stands for, we can substitute 10 into n, and remove the entrance fee of $5.50.
P=0.80n
This gives us $8, which means the price for 10 balls not including the entrance fee is $8.
3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.
Answer:
35
Step-by-step explanation:
3x2=6
or if x is variable :18
2x3=6
2x3=6
+5
add them all up:
18+6+6+5=35
let me know if something is confusing.
Please is urgent!!!
Answer:
70.6x 10-⁵ is answer of first
what seven divided by 4
Answer:
7 divided by 4 is 1 ¾ as a fraction, or 1.75 as a decimal.
Step-by-step explanation:
Pls mark as brainliest answer
The calculated division of the numbers seven divided by 4 is 1 3/4
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
seven divided by 4
When represented as an equation, we have
seven divided by 4 = 7/4
Divide 7 by 4
So, we have the following result
seven divided by 4 = 1 3/4
Using the above as a guide, we have the following:
the result is 1 3/4
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rewrite 1/5:1/2 as a unit rate
Hey there! I'm happy to help!
The unit rate is how much stuff there is per 1 unit. All ratios can be rewritten as fractions, this one could be 0.2/0.5. The word per means divide, and fractions are basically dividing. So, we want the denominator to be 1.
To get 0.5 to 1, we multiply by 2. So, we will multiply the fraction by 2/2.
0.2/0.5(2/2)=0.4/1
Therefore, the unit rate is 0.4/1 or 0.4:1 or 0.4 per 1.
Have a wonderful day! :D
divide the sum of -5,-10 and -9 by the product of 2 and -3
Answer: 1/4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
=(-5)+(-10)+(-9)/2*(-3)
=-5-10-9/-6
=-24/-6
=4 ans.....
The chance of Jake winning a 100m race is 3/5. What is the probability of him losing the same race?
Answer:
2/5 (because the chance winning the race is 3/5 and the remaining is 3/5 when we add 3/5 , 2/5 the answere is 5/5 when we subtract 3/5 from 5/5 the answere is 2/5
In ΔABC, and m∠ABC = 90°. D and E are the midpoints of and , respectively. If the length of is 9 units, the length of is units and m∠CAB is °.
Applying the midsegment theorem and the definition of isosceles triangle:
DE = 4.5 units
m∠CAB = 45°
The image that shows ΔABC is attached below.
Since AB = BC, therefore, ΔABC is an isosceles triangle.
This implies that, the base angles will be equal.
Thus:
If m∠ABC = 90°, therefore,
m∠CAB = ½(180 - 90)
m∠CAB = 45°.
DE is the midsegment of the triangle, and is parallel to the third side, CA = 9 units.
Based on the midsegment theorem, we have the following equation:
DE = ½(9)
DE = 4.5 units.
Therefore, applying the midsegment theorem and the definition of isosceles triangle:
DE = 4.5 units
m∠CAB = 45°
Learn more about midsegment theorem on:
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Answer:
4.5
45
Step-by-step explanation:
The Side-Side-Side Similarity Postulate states that if the sides of one triangle are congruent to the sides of another triangle, then the triangles are similar. True or False?
Answer:
Hey there!
This is false, because if the sides of one triangle are congruent to the sides of another, then the triangles are actually congruent. The Side-Side-Side similarity theorem states that if all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar.
Hope this helps :)
Point B is on line segment AC. Given BC=9 and AB=11, determine the length AC.
Answer:
20
Step-by-step explanation:
If point B is on line segment AC, then we know for sure AB + BC = AC.
To understand this better, draw a line segment, then put a point anywhere on the line segment. There are two line segment divided by that point. If you combine those two line segments then you have your original figure.
So 11 + 9 = 20.
How many positive even factors of 48 are greater than 24 and less than 48
Answer: 0
Work Shown:
Factors of 48 = {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}
Erase the odd numbers of that list to get {2, 4, 6, 8, 12, 16, 24, 48}
Then highlight stuff that is greater than 24, and less than 48 at the same time.
No factors fit this description since 24 cannot be larger than itself, and 48 cannot be smaller than itself.
Answer: 0
Step-by-step explanation:
There is no number greater than 24 and less than 48.
please help me on this
Answer:
if an angle measures more than 90 degrees, then the angle is obtuse
2√63 what is the radical
Answer:
7.94
Step-by-step explanation:
Answer:
[tex]\Large \boxed{\sqrt{63}}[/tex]
Step-by-step explanation:
A radical is the root of a number.
[tex]2\sqrt{63}[/tex]
The radical in this expression is [tex]\sqrt{63}[/tex].
[tex]12 \times \frac{5}{6} - 14x + \frac{1}{6} x[/tex]
can anyone help me solve this !
Answer:
x = 60/83
Step-by-step explanation:
Solve for x:
10 - (83 x)/6 = 0
Put each term in 10 - (83 x)/6 over the common denominator 6: 10 - (83 x)/6 = 60/6 - (83 x)/6:
60/6 - (83 x)/6 = 0
60/6 - (83 x)/6 = (60 - 83 x)/6:
(60 - 83 x)/6 = 0
Multiply both sides of (60 - 83 x)/6 = 0 by 6:
(6 (60 - 83 x))/6 = 6×0
(6 (60 - 83 x))/6 = 6/6×(60 - 83 x) = 60 - 83 x:
60 - 83 x = 6×0
0×6 = 0:
60 - 83 x = 0
Subtract 60 from both sides:
(60 - 60) - 83 x = -60
60 - 60 = 0:
-83 x = -60
Divide both sides of -83 x = -60 by -83:
(-83 x)/(-83) = (-60)/(-83)
(-83)/(-83) = 1:
x = (-60)/(-83)
Multiply numerator and denominator of (-60)/(-83) by -1:
Answer: x = 60/83
Can someone pls help me &THANK YOU
SLATTTT!!!
I need help on this can someone help
Answer:
1:3
Step-by-step explanation:
[tex]3:9\\= 1: 3[/tex]
Answer:
1 : 3
Step-by-step explanation:
pears : apples
3 9
Divide each side by 3
3/3 9/3
1 : 3
helppppppp please I beg
Answer:2/6, 7/21, 15/45
Step-by-step explanation:
So we know that 6,21,45 are all multiples of 3
To find the numerator we have to divide each multiple by 3
so for the first one it would be 6/3 which is 2. So 2 is the numerator and the answer for the first one is 2/6
now we have to do the same method for the next fraction so we do 21/3=7
so the numerator is 7 and the fraction is 7/21
now for the last one we have to do the same method again
45/3=15 so the numerator is 15 and the answer is 15/45
You can use this method for any question like this
so the final answers are 1/3=2/6=7/21=15/45
Hope this helps
Susan wants to buy cherries for a party. She has $8.00 to spend. Cherries are $2.75/kg. How many kilograms of cherries can Susan buy? Round to the nearest tenth. Use complete sentences to describe how you would solve this question. Be sure to explain how you round the answer.
Answer: you would have to divide $8.00/$2.75 and it would equal $2.90
Step-by-step explanation: This may help and if it does please thank me in the comments.
Answer:
Susan can purchase 2.9 kg of cherries.
Step-by-step explanation:
We need to take the amount of money available and divide by the cost of cherries per kilogram
$8.00 / $2.75 per kg
2.909090909 kg
Rounding to the nearest tenth, the solution is 2.9 kg
Susan can purchase 2.9 kg of cherries.
Negative solution for Multi-step equations
Answer:
[tex]\frac{1}{2}(4x+6)+3x=7x+9[/tex]
[tex]\frac{1}{2}(4x+8)+3x=7x+9[/tex]
Step-by-step explanation:
By putting the numbers in the given equation,
[tex]\frac{1}{2}(4x+6)+3x=7x+9[/tex]
2x + 3 + 3x = 7x + 9
5x + 3 = 7x + 9
(5x + 3) - 7x = (7x + 9) - 7x
(5x - 7x) + 3 = 9
-2x + 3 = 9
(-2x + 3) - 3 = 9 - 3
-2x = 6
[tex]-\frac{2x}{2}=\frac{6}{2}[/tex]
-x = 3
x = -3
Therefore, our equation is correct which has a negative result.
In place of 6 if we use 8, value of x will be negative again.
Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation -x^2 - 6x + 6 = 0
Completing the square leads to the equivalent equation
-(x + ___ )^2 = ___
Answer:
-(x + 3)^2 = -15
Step-by-step explanation:
:) got it right
can i help please??? :) Is 3.22×10 to the 4 power equal to 32,200?
Answer:
Yes
Step-by-step explanation:
we move the decimal point 4 times to the right
1st time
32.2
2nd time
322
3rd time
3220
4th time
32,200
Answer:
No
Step-by-step explanation:
3.22 x 10 = 32.2
32.3 to the fourth power = 107.50
107.50 < 32,200
Therefore it is not equal to 32,200
7.006 x 10^-3 in standard notation
Answer:
7.006*10⁻³ = 0.007006
Step-by-step explanation:
7.006*10⁻³ = 0.007006
SP=2x+3, and LN=5x−14. Find SP. A. 20 B. 86 C. 43 D. 50
Answer:
C
Step-by-step explanation:
A segment joining the midpoints of two sides of a triangle is half the length of the third side.
SP is a midline segment, thus
SP = [tex]\frac{1}{2}[/tex] LN , that is
2x + 3 = [tex]\frac{1}{2}[/tex] (5x - 14) ← multiply both sides by 2
4x + 6 = 5x - 14 ( subtract 4x from both sides )
6 = x - 14 ( add 14 to both sides )
20 = x
Thus
SP = 2x + 3 = 2(20) + 3 = 40 + 3 = 43 → C
