The number of boxes packed to fill the rectangular prism shaped container is: 80 boxes.
What is the Volume of a Rectangular Prism?Volume = length × width × height.
Find the volume of one cube-shaped box:
Volume = 6 × 6 × 6 = 216 in³
Find the volume of one rectangular prism:
Volume = length × width × height = 24 × 24 × 30 = 17,280 in³.
Number of boxes packed to fill the rectangular prism shaped container = 17,280/216 = 80 boxes.
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Find the smallest numbeve which when divided
by
25,45,63 and 84 leaves the remainder
7 in each case.
Answer:
[tex]\boxed{\bold{\huge{\text{ 6307 }}}}[/tex]
Step by step explanation
See attached file.
Solve the following equation.
36-3|x| = 18
A.
x = 18 or x= -6
в.
x= 18 or x = -18
C.
x = 6 or x= -18
D. X= 6 or x= -6
Answer:
D. x=6 or x=(-6)
Step-by-step explanation:
if x is in modulus, whatever number you input will yield a positive number.
36 - 3|6| =18
36 - 3|-6|=18
Answer:D. x=6 or x=(-6)
Step-by-step explanation:
if x is in modulus, whatever number you input will yield a positive number.
36 - 3|6| =18
36 - 3|-6|=18
Step-by-step explanation:
How do you write 66 in scientific notation
Answer:6.6 x 101
Step-by-step explanation:
A magazine wants to publish an article about the world's wealthiest people and plans to publish
the net worth of those people to the nearest half of a billion dollars. Which two could be numbers
that get published in the magazine?
15.0 billion dollars
17.2 billion dollars
25.5 billion dollars
37.15 billion dollars
51.245 billion dollars
51.245 and 37.15
since they are both the highest
Jordan has three $100 bills, four $20 bills, one $10 bill, and eight $1 bills. What will Jordan’s total be if Jayla gives him one more $20 bill? Jordan’s total will be Fill in the blank text field 1 . What will his total be if she gives him one more $100 bill instead? Jordan’s total will be Fill in the blank text field 2
Answer:
$418
$498
Step-by-step explanation:
Jordan has - 3 * $100 = $300,
4 * $20 = $80,
1 * $ 10 = $10,
8 * $1 = $8
Total = $398
Jordan’s total will be $418 if Jayla gives him one more $20 bill?
Jordan’s total will be $498 if Jayla gives him one more $100 bill?
Jordan's total will be $438 if Jayla gives him one more $20 bill.
Jordan's total will be $498 if Jayla gives him one more $100 bill.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If Jayla gives Jordan one more $20 bill, then Jordan will have:
3 x $100 = $300
5 x $20 = $100
1 x $10 = $10
8 x $1 = $8
1 x $20 = $20
Adding these up gives:
$300 + $100 + $10 + $8 + $20 = $438
Jordan's total will be $438 if Jayla gives him one more $20 bill.
If Jayla gives Jordan one more $100 bill instead, then Jordan will have:
4 x $100 = $400
4 x $20 = $80
1 x $10 = $10
8 x $1 = $8
Adding these up gives
$400 + $80 + $10 + $8 = $498
Therefore,
Jordan's total will be $438 if Jayla gives him one more $20 bill.
Jordan's total will be $498 if Jayla gives him one more $100 bill.
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13r + 5 + 2n
i really really need help
jasmine has all nickels x and dimes y in her coin jar. if she has 36 coins in all, and four more dimes than. nickels find how much money she has in her coin jar
Answer:
She has 18 nickels and 36-18= 18 dimesSolving steps:
Question: jasmine has all nickels x and dimes y in her coin jar. if she has 36 coins in all, and four more dimes than. nickels find how much money she has in her coin jar
Find: how much money she has in her coin jar
Solution: let's make an equation for this problem
She has 4 more dimes than nikels:y= x+4 Let's use this value for y in the next equation:
x+x+4= 362x= 36x= 18
she has 18 nickels and 36-18= 18 dimes
The required Jasmine has 16 nickles and 20 dimes which constitute $2.80 in her coin jar.
Let's use the given information to set up a system of equations to solve for the number of nickels (x) and dimes (y) in Jasmine's coin jar.
We are given that Jasmine has a total of 36 coins in her jar, so we have the equation:
x + y = 36 -- Equation 1
We are also given that Jasmine has four more dimes than nickels, which can be expressed as:
y = x + 4 -- Equation 2
Now, let's solve this system of equations. We can substitute Equation 2 into Equation 1 to eliminate y:
x + (x + 4) = 36
2x = 36 - 4
x = 16
Now that we have the value of x, we can substitute it back into Equation 2 to find y:
y = x + 4
y = 16 + 4
y = 20
Therefore, Jasmine has 16 nickels (x) and 20 dimes (y) in her coin jar.
To find the total amount of money she has, we need to calculate the value of the nickels and dimes separately:
Value of nickels = 0.05 * 16 = $0.80
Value of dimes = 0.10 * 20 = $2.00
The total amount of money in her coin jar is:
$0.80 + $2.00 = $2.80
Jasmine has $2.80 in her coin jar.
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11. Find the measure of
Answer:
kpm is about 110.02 degrees
Step-by-step explanation:
-kpl and npm are vertical angles, so they're congruent
-npm and lpm are supplementary angles, meaning they add to 180 degrees
we r given:
npm = 14x - 22
lpm = 7x + 4
add these and set equal to 180:
14x - 22 + 7x + 4 = 180
then combine like terms:
21x -18 = 180
isolate the variable by adding 18 on both sides:
21x = 198
divide by 21 on both sides:
x = about 9.43
since kpl and npm r congruent, plug in the value of x in npm (14x-22):
14(9.43)-22
= 110.02
three consecutive even numbers whose sum is -42
Answer:
-12, -14, -16
Step-by-step explanation:
x + (x+2) + (x+4) = -42
3x + 6 = -42
Isolate the variable 3x by subtracting 6 from both sides
3x = -48
Then isolate the variable x by dividing 3 from both sides
x = -16
Then add 2 for the 2nd number
Then add 4 for the third number
i need help with this please
a) 2/7
There are a total of 14 pairs of socks (4+2+8) so 14 is your denominator.
Then you take however many red socks there are and that is your numerator (4).
Then you simplify. 4/14 ; 2/7
b) 1/4
There are a total of 40 headbands (10+6+24) so 40 is your denominator.
Then you take however many red headbands there are and that is your numerator (10).
Then you simplify, 10/40 ; 2/8 ; 1/4
c) 15/28
You then add 2/7 and 1/4.
∠A=5x−5,∠B=3x+13=180
Answer:
x=9
Step-by-step explanation:
5x - 5(3x +13)=0
5x - 3x - 13 - 5 = 0
2x -18= 0
x=18/2
x=9
please help me do it now guys
Answer:
(all in index form)
1. 2 x 5 x 3^2
2. 2^2 x 3^4
3. 2^2 x 3 x 11
Step-by-step explanation:
90 = 2, 45 - 5, 9 - 3, 3
324 = 2, 162 - 2, 81 - 9, 9 = 3, 3, 3, 3
132 = 2, 66 - 2, 33 - 3, 11
Answer:
1. 2x3x3x5 or 2 x 3^2 x 5
2. 2^2 x 3^4 or 22x34
3. 2x2x3x11 or 11x12 or 11 2^2x3
Good luck!
Write the equation of a line that is parallel to y=-0.75x and that passes through the point 8,0
Answer:
Y=-0.75+6
Step-by-step explanation:
Y=mx+B
m= -0.75
when Y=0 and x=8, b=6
PLEASE HELP!!
Given f(x) = x^2 - 7x + 13 and g(x) = x - 2
Solve f(x) = g(x) using the substitution method. Show your work
The value of the function f(x) = g(x) is [tex]x^2 -8x + 15 = 0[/tex]
Data;
f(x) = x^2 - 7x + 13g(x) = x - 2FunctionsSolving the function above by substitution method, we just need to substitute the values where required and solve.
[tex]f(x) = g(x)[/tex]
Substituting the value,
[tex]x^2 - 7x + 13 = x - 2\\x^2 -7x - x + 13 + 2 = 0\\x^2 -8x + 15 = 0[/tex]
The value of the function f(x) = g(x) is [tex]x^2 -8x + 15 = 0[/tex]
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good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
the term name's for the drop box's are monomial, binomial, trinomial.
the degree name's for the drop box's are degree 0 constant, degree 1 linear, degree 2 quadratic, degree 3 cubic.
the leading coefficient number's for the drop box's are 1,2,3,4,5
Answer:
Monomial expression: a single, non-zero term, with non-negative integer exponents of the variables.
Binomial expression: 2 non-zero unlike terms, joined using arithmetic operators.
Trinomial expression: 3 non-zero unlike terms, joined using arithmetic operators.
Degree: The number of the highest power.
Leading Coefficient: The number or quantity placed before the variable of the term with the highest power.
[tex]3x^2+4x+1[/tex]
(Quadratic) Trinomial, degree 2 quadratic, leading coefficient 3
[tex]2x^3[/tex]
Monomial, degree 3 cubic, leading coefficient 2
[tex]x+5[/tex]
Binomial, degree 1 linear, leading coefficient 1
#1
3x^2+4x+1
Term=TrinomialLeading coefficient=4Degree=2#2
2x^3
MonomialDegree=3Leading coefficient=2#3
x+5
BinomialDegree=1Leading coefficient=1I will mark brainiest
Answer:
your answer will be C.63
The orbital period, p, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula p = a superscript three-halves. if saturn’s orbital period is 29.5 years, what is its distance from the sun? 9.5 au 19.7 au 44.3 au 160.2 au
The distance of Saturn from the sun is 9.5 astronomical units.
Orbital period p of a planet and the planet’s distance from the sun, a in astronomical units are related by:
[tex]p = a^{3/2}[/tex]
What is the orbital period?The orbital period is the time a given astronomical object takes to complete one orbit around the sun.
Given that Saturn's orbital period is 29.5 years.
So, [tex]29.5 = a^{3/2}[/tex]
[tex]a = 29.5^{2/3}[/tex]
a = 9.5 au
Therefore, the distance of Saturn from the sun is 9.5 astronomical units.
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In which polygon the number of diagonals is equal with the number of sides
a) pentagon
b) hexagon
c) octagon
d) something else
Which equation best matches the graph shown below?
Well, it can't be the two on the right, because the bottom isn't at 6, but at 6.6
and its is positive, so it has to be the FIRST ONE
100 POINTS!!!
Which function has the greater average rate of change:
A. Neither, they have the same slope.
B. Function B
C. Function A
EXPLAIN
Answer:
A
Step-by-step explanation:
The first one is -2x + 3
The seconf one is -2x +7
Look, same slope.
Sydney and Elijah are working on creating a garden. They go to the store and buy 29 flower stems and spent $120.94. Elijah and Sydney only bought lilies and peonies, lilies cost $3.42 per stem and peonies cost $4.78 per stem. How many lily stems did they buy? How many peony stems did they buy?
Given:
Total number of flower they buy = 29 stems
Total cost = $120.94
Lilies cost = $3.42 per stem
Peonies cost = $4.78 per stem
To find:
The number of lily stems and peony stems did they buy.
Solution:
Let number of lily stems = x
Number of lily stems and peony stems = y
According to given information,
[tex]x+y=29[/tex] ...(i)
[tex]3.42x+4.78y=120.94[/tex] ...(ii)
From (i) and (ii), we get
[tex]3.42x+4.78(29-x)=120.94[/tex]
[tex]3.42x+138.62-4.78x=120.94[/tex]
[tex]-1.36x=120.94-138.62[/tex]
[tex]-1.36x=-17.68[/tex]
Divide both sides by -1.36.
[tex]x=\dfrac{-17.68}{-1.36}[/tex]
[tex]x=13[/tex]
Put x=13 in (i).
[tex]13+y=29[/tex]
[tex]y=29-13[/tex]
[tex]y=16[/tex]
Therefore, number of lily stems is 13 and number of lily stems and peony stems is 16.
Triangle XYZ is rotated to create the image triangle X'Y'Z'.
On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4).
Which rules could describe the rotation? Select two options.
R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (–x, –y)
Answer:
The correct option is;
R0, 180°
Step-by-step explanation:
The coordinates of ΔXYZ are given as follows;
X(-2, 2), Y(1, 2), Z(0, 4)
The coordinates of ΔX'Y'Z' are given as follows;
X'(2, -2), Y'(-1, -1), Z'(0, -4)
Whereby, the coordinates of the point Y' is (-1, -2), we have the rule that describe the transformation of ΔXYZ to ΔX'Y'Z', given as follows
Coordinates of the preimage = (x, y)
Coordinates of the image = (-x, -y)
Which is in accordance with the transformation by rotation 180° about the origin.
Answer:
b,e
Step-by-step explanation:
Help me ASAP please
Answer: i feel that the coorect answer is b
Answer:
<4 ~= <6 - Alternate Interior Angles Theorem
<4 ~= <2 - Vertical Angles Theorem
<6 ~= <2 - Corresponding Angles Theorem
line I || line m - Transitive Property
Put
–
0.95,
–
0.1,
–
2
5
, and
–
1
4
in order from least to greatest. You can use the number line to help.
Answer:
-2,-1, -.95, -.1, 4, 5
Step-by-step explanation:
im guessing the - on the top of the numbers is supposed to be a negative in front of the numbers, and if so that is what it would be.
Can Anybody do This for me please hurry
Answer:
-33
-20
-4
6
3
Step-by-step explanation:
I apologize if I get any wrong
Solve for the value of d.
(40+7)
(5d-3)°
HELP PLEASE
Answer:
d = 10 degrees
Step-by-step explanation:
You need to set the two equations equal to each other to solve this question:
(40 + 7) = (5d - 3)
(47) = (5d - 3)
47 = 5d - 3
50 = 5d
10 = d
d = 10 degrees
x+4 over x^2-5x+6 ÷ x^2-16 over x+3
Answer:
x =± 4
Step-by-step explanation:
Solve for x:
x^2 - 16 = 0
The left hand side factors into a product with two terms:
(x - 4) (x + 4) = 0
Split into two equations:
x - 4 = 0 or x + 4 = 0
Add 4 to both sides:
x = 4 or x + 4 = 0
Subtract 4 from both sides:
Answer: x =± 4
Answer: (x + 3) / (x - 2)(x - 3)(x - 4)
Step-by-step explanation:
The problem given can be viewed as
a/b over c/d
where a/b is the top fraction and c/d is the bottom fraction.
This can be rearranged to
a × d / b × c
So, you will have:
(x + 4)(x + 3) / (x² - 5x + 6)(x² - 16)
Now, factor the two bottom polynomials so you end up with:
(x + 4)(x + 3) / (x - 2)(x - 3)(x + 4)(x - 4)
Cancel the (x + 4) on the top and bottom so you’re left with the answer:
(x + 3) / (x - 2)(x - 3)(x - 4)
If you need to find the solutions to x, set the denominator equal to zero.
x = 2
x = 3
x = 4
Find the value of z and z+ 45.
Help fast!
Answer: z = 144 . so therefore , z + 45 = 189
Step-by-step explanation: good luck . <3
A set of numbers is given below.
{v/72 9.25, /83, pi 2 8.7}
Which list correctly orders the numbers from least to greatest
Answer:
Option (2)
Step-by-step explanation:
From the given set of numbers we have to arrange them in the increasing order.
{[tex]\sqrt{72},9.25,\sqrt{83},\pi^2,8.7[/tex]}
Since, [tex]\sqrt{72}=8.49[/tex]
[tex]\sqrt{83}=9.11[/tex]
[tex]\pi ^2[/tex] = 9.87
Therefore, set of numbers will be in the form of,
{8.49, 9.25, 9.11, 9.87, 8.7}
Now arranging these numbers in the increasing order,
8.49 < 8.7 < 9.11 < 9.25 < 9.87
Therefore, numbers in the increasing order will be,
{[tex]\sqrt{72},8.7,\sqrt{83},9.25,\pi ^{2}[/tex]}
Option (2) will be the answer.
A rectangular prism has a length of 5 centimeters a width of 5 centimeters, and a helght of 10 centimeters. The surface
area of this prism is 250 square centimeters.
The
False
Answer:
True you need to use the surface area formula
Step-by-step explanation:
(wl+hl+hw)