Applying the formula for volume of a rectangular prism and volume of a cube, we would have:
a. 6/125 cm³
b. 8/125 cm³
c. 1/125 cm³
d. 36/125 cm³
What is the Volume of a Rectangular Prism and a Cube?Volume of rectangular prism = length × width × height.Volume of cube = (side length)³a. Volume of rectangular prism = length × width × height = (1/5) × (2/5) × (3/5)
Volume of rectangular prism = 6/125 cm³
b. Volume of cube = (side length)³ = (2/5)³
Volume of cube = 8/125 cm³
c. Volume of cube = (side length)³ = (1/5)³
Volume of cube = 1/125 cm³
d. Volume of rectangular prism = length × width × height = (3/5) × (4/5) × (3/5)
Volume of rectangular prism = 36/125 cm³
Learn more about the volume of rectangular prism and cube on:
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on a number line
Answer:
I think your adopted and nobody loves you
Step-by-step explanation:
There are books of three different languages on the bookshelves of one section of a library. The three different languages are Chinese, Malay and Tamil. Chinese books make up
6/10
of the books. The number of Malay books is 7 times more than the number of Tamil books. If there are 56 Malay books, how many books are there altogether in this section of the library?
Answer:
There are 160 books in this section of the library
Step-by-step explanation:
to solve this problem you need to set up a ratio.
since there are 7 times Malay books the number of Tamil books, you can say that
x = # of Tamil books
7x = # of Malay books
next, you know that there are 56 Malay books so you can substitute.
7x = 56
x = 56/7
x = 8
x = # of Tamil books
8 = # of Tamil books
now you know that there are 56 Malay books and 8 Tamil books. Chinese books make up 6/10 of the library so the other languages must add up to 4/10 of the books.
56 + 8 = 4/10 of the total books
64 = 4/10 of total books
if you call the total books T you can make this equation:
64 = 4/10T
64 * 10/4 = T
160 = T
solve:
. [tex]6q^{2} - 17q + 12[/tex]
. [tex]8s^{2} + 2s - 15[/tex]
For zeroes i.e for value(s) of q and s, the given equations must be equal to 0, so let's start with first equation and then 2nd equation ;
[tex]{:\implies \quad \sf 6q^{2}-17q+12=0}[/tex]
[tex]{:\implies \quad \sf 6q^{2}-9q-8q+12=0}[/tex]
[tex]{:\implies \quad \sf 3q(2q-3)-4(2q-3)=0}[/tex]
[tex]{:\implies \quad \sf (3q-4)(2q-3)=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:3q-4=0\:\:\:or\:\:\: 2q-3=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:3q=4\:\:\:or\:\:\:2q=3}[/tex]
[tex]{:\implies \quad \bf q=\dfrac{3}{2},\dfrac43}[/tex]
Now, turning to the second equation ;
[tex]{:\implies \quad \sf 8s^{2}+2s-15=0}[/tex]
[tex]{:\implies \quad \sf 8s^{2}+12s-10s-15=0}[/tex]
[tex]{:\implies \quad \sf 4s(2s+3)-5(2s+3)=0}[/tex]
[tex]{:\implies \quad \sf (4s-5)(2s+3)=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:4s-5=0\:\:\:or\:\:\: 2s+3=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:4s=5\:\:\:or\:\:\:2s=-3}[/tex]
[tex]{:\implies \quad \bf s=\dfrac{5}{4},-\dfrac32}[/tex]
Answer:
Below in bold.
Step-by-step explanation:
I am assuming you want to factor these expressions.
6q^2 - 17q + 12
We need 2 numbers whose product is (6*12) = 72 and whose sum is -17.
Theses are -9 and -8 so we write:
= 6q^2 - 9q - 8q + 12
= 3q(2q - 3) - 4(2q - 3)
= (3q - 4)(2q - 3)
If you want the solution of this expression = zero they are q = 4/3, 3/2.
8s^2 + 2s - 15
8 * -15 = -120. -120 = -2 * 2 * 2 * 3 * 5 = +12 * -10 ( to give the +2s)
= 8s^2 + 12s - 10s - 15
= 4s(2s + 3) - 5(2s + 3)
= (4s - 5)(2s + 3)
If you want the solution of this expression = zero they are s = 5/4, -3/2.
y=-3х +6
у= 9
What is the solution to the system of equation
Answer:
The answer to your problem is x=-1,y=9
Step-by-step explanation:
(-1,9)
parts of an algebraic expression separated by plus or minus signs are
Answer: called tthe term of an algebraic expression.
Step-by-step explanation: We know an algebraic expression is a collection or combination of constant and variables of one or more terms, which are separated by the fundamental operations (+, –, × and ÷).Some of the examples of algebraic expression are 7b + 5m, 5x + 3y + 10, 5x/y + 3, x + y + z, etc.Terms of an algebraic expression:Each part of an algebraic expression which are separated by plus sign (+) or minus sign (-) is called the term of an algebraic expression. It’s important to remember that the division sign (÷) or multiplication sign (×) does not separate the terms of an algebraic expression.Examples of algebraic expressions and their terms:
(i) x + 10
We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.
(ii) 5m + 2n - 7
We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.
(iii) 3a/b
We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.
(iv) 3xy + 7xz + 2yz - 6
We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.
) 2abc + 1
We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.
Therefore, the algebraic expressions are either simple or compound.
(i) Simple algebraic expressions consist of one term.
(ii) Compound algebraic expressions consist of two or more terms.
X= ___ Degrees? Will Mark Brainliest, Please Help!!!
solve all attached below for 100 points.
Answer:
53°
Step-by-step explanation:
What is the surface area of the box?
Answer:
54cm²
Step-by-step explanation:
2(3x6) + 2(6x1) + 2(3x1)
= 54cm²
can anyone help me with this question, i dont really understand how to do pls help me
there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7
Can anyone solve this correctly?
Answer:
115.5
Step-by-step explanation:
area of the square: (20-7) x 7 = 13x7 = 91
area of triangle: 7x7 / 2 = 49/2 = 24.5
total area = 91+24.5
= 115.5 in
I'm not sure, but I'm guessing it's this.
poiuytredfghjkl........
Answer:
yes you are correct
Step-by-step explanation:
not sure what you mean but yea
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
top:32
bottom:73.5
Step-by-step explanation:
no need to rate or give brainlyest just wanted to help
Each letter in this equation represents a unique digit. If U stands for 8 and the
other numbers used are 1 through 4, what is one possible answer?
Answer:
4x2=8
Step-by-step explanation:
This equation is simple and easy cause its base sick math
show work please and no links
Answer:
man it’s one in the morning and your picture is blurry a f
Step-by-step explanation:
The difference of x and 7 is at most -28. Translate the sentence into an inequality
Answer:
x - 7 [tex]\leq[/tex] -28
Step-by-step explanation:
I guarantee you that this is correct. It's pretty simple to understand.
Please mark Brainliest. :)
Is 6km bigger then 54,000mm?
Answer:
Yes
Step-by-step explanation:
To answer this question, we will need to know how many millimeters are in a kilometer.
1 km = 1,000,000 mm
Therefore, 6km is WAY bigger than 54,000 mm
The figure1 can be transformed to create figure 2 using a single transformation which transformation can be used to accomplish this
The figure 1 can be transformed to create figure 2 by reflecting across the y axis.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, reflection and dilation.
The figure 1 can be transformed to create figure 2 by reflecting across the y axis.
Find out more on transformation at: https://brainly.com/question/1462871
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x - 4|?
Answer:
right... C.
Step-by-step explanation:
[tex]\sqrt{180}=a\sqrt{b}[/tex]
please help
write using algerba a skick l feet long is brokeninto two parts one of which is twice as long as the other how long is the shoter peice
Answer:
Step-by-step explanation:
1/3 of the original
Step-by-step explanation:
one piece is TWO times longer than the other one. if you break it in half you have three pieces that are all the same size
Deshi has 427 marbles and Elaheh has 394 marbles Deshi wants to give 125 marbles to his little brother how many total marbles will Deshi and Elaheh have after this?
Answer: Deshi will have 302 marbles and Elaheh will have 519.
Step-by-step explanation:
Deshi's Marbles will subtract 125.
427 - 125 = 302.
Elaheh's Marbles will add 125.
394 + 125= 519.
Which angle is supplementary to 6
Answer: Angle 3
Step-by-step explanation:
27x+9y+3 name the coefficients
HIRRY AND HELP
Answer: 27 and 9
Step-by-step explanation:
Coefficients are the numbers in front of variables. Since the variables are x and y, then the coefficients are 27 and 9.
Hello!
Please remember that
A coefficient is a number before a variable.What is a variable?
A variable is a letter (like x)So a coefficient is basically a number before a letter (like 27x)
Hence, the coefficients are
[tex]\boxed{\boxed{\bold{27~and~9}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
N is an integer and -2
Answer:
(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.
Step-by-step explanation:
(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)
(3) For this let's separate it into -2<n+3 which solving gets us n > -5
Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5
The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)
once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.
(a). The solution is [tex]n > 6[/tex]
(b). The all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]
Inequality:(a). The given inequality is;
[tex]15n > 12n+18[/tex]
Now we have to solve inequality,
[tex]15n > 12n+18\\\\15n-12n > 18\\\\3n > 18\\\\n > 18/3\\\\n > 6[/tex]
(b). Inequality is [tex]-2 < n+3\leq 4[/tex]
Now we have to solve inequality,
[tex]-2 < n+3\leq 4\\\\-2-3 < n\leq 4-3\\\\-5 < n\leq 1[/tex]
So that, the all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]
Learn more about the inequality here:
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Help this is due in 15 mins!
Answer:
Area of the rectangle = 20 square units
Area of left triangle = 8 square units
Area of right triangle = 6 square units
Area of whole figure = 34 square units
Step-by-step explanation:
Alright, area of a rectangle is Base · Height. The base of the rectangle is 5 units and the height is 4 units. 5 · 4 = 20 square units.
Area of a triangle is (Base · Height)/2. The triangle on the left is 4 units tall and 4 units wide. 4 · 4 ÷ 2 = 8 square units.
The triangle on the right is 4 units tall and 3 units wide. 4 · 3 ÷ 2 = 6 square units.
To get the area of the whole figure, you can just add the area of all three shapes. 20 + 8 + 6 = 34 square units.
Hope this helps! :)
Answer:
Rectangle's area;
Length: 4
Width: 5
Formula for area of rectangle;
A = L*W
Replace values:-
A = 4(5)
A = 20.
Left triangle's area;
Base = 4
Height: 4
Formula for area of triangle;
A = BH x 1/2
Replace values:-
A = 4(4) x 1/2
A = 16 x 1/2
A = 16/2
A = 8.
Right triangle's area;
Base = 3
Height: 4
Formula for area of triangle:
A = BH x 1/2
Replace values:-
A = 3(4) x 1/2
A = 12 x 1/2
A = 12/2
A = 6.
Add all the areas we've found so far to get the figure's total area:
20 + 8 + 6
= 34.
Can someone please help me out with this question?
Answer:
B and B
Step-by-step explanation:
For the first problem, the range is simply the data set rearranged from smallest to largest.
For the second problem, you just have to cross multiply each variable in order to expand the equation and get an answer.
The answer for that one is [tex]12x^{3} -42x^{2} +8x+55[/tex]
Determine the solution to the system of equations below.
x - 3y = 1
3x-5y = 11
Pls answer for 50 brainlist!!
Answer:
[tex]\boxed{\sf{x=7 \quad y=2}}[/tex]
Step-by-step explanation:
To solve this problem, isolate it on one side of the equation.
x-3y=1 and 3x-5y=11x-3y=1: x=1+3y
x=1+3y
Substitute.
x=1+3y= 3(1+3y)-5y=11
Solve.
3+4y=11
Subtract by 3 from both sides.
3+4y-3=11-3
Solve.
11-3=8
Rewrite the problem down.
4y=8
Divide by 4 from both sides.
4y/4=8/4
Solve.
8/4=2
y=2
x=1+3y
x=1+3*2
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract1+3*2
Multiply.
3*2=6
Add.
1+6=7
x=7
Therefore, the correct answer is x=7 and y=2.I hope this helps you! Let me know if my answer is wrong or not.
A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television each weekday to be 2. 7 hours with a standard deviation of 0. 4 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 15 football teammates and found the mean to be 2. 3. Which of the following shows the correct z-statistic for this situation? -3. 87 -0. 26 3. 23 5. 22.
The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate it(in some cases) by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex]population standard deviation
For this case, we're specified that:
Sample mean = [tex]\overline{x}[/tex] = 2.3Sample size = n = 15Population mean = [tex]\mu[/tex] = 2.7Population standard deviation = [tex]\sigma[/tex] = 0.4Thus, the value of the z-statistic is evaluated as:
[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87[/tex]
Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
Learn more about z statistic here:
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explain whether each equation is a linear equation.
Answer:
3. Not linear
4. Linear
Step-by-step explanation:
3. The equation has an exponent on the x. Since x is squared the graph is a parabola. The graph is a curve, not a line, so it is not linear.
4. Both the x and y have no exponent (which is an exponent of 1) The graph will be a line. This is a linear function.
A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm
Answer:320 cubic cm
Step-by-step explanation: if you multiply 16x20m you get 320 cm
what is the first step of the following division problem?
option A
hope it's correct and really helps...!!!
Answer: the answer is A i got 100% on my
test
Step-by-step explanation: