Volume of small box :
[tex]v=l\times b\times h\\\\v=2\times 3\times 4\\\\v=24\ units^3[/tex]
Volume of big box :
[tex]V=L\times B\times H\\\\V=12\times 21\times 40\\\\V=10080\ units^3[/tex]
Number of small boxes that can fit into bigger box :
[tex]n=\dfrac{V}{v}\\\\n=\dfrac{10080}{24}\\\\n=420[/tex]
Therefore , 420 such boxes can fit .
Hence , this is the required solution .
Solve for x: -32x + 6 = -12 (1 point)
a
x = 1 and x = 5
Ob
x = -1 and x = -5
С
x = -9 and x = 3
No solution
Answer:
none of the above solutions
Step-by-step explanation:
-32x+6=-12
-32x=-12-6
-32x=-18
divide both sides by 18x=16/9
there are 60 rooms in a building. 1/4 of the rooms are for management. 1/2 of the rooms are for sales. the rest is for warehouse workers. How many rooms are used for warehouse workers?
Answer:
1/4 is used for warehouse workers.
Step-by-step explanation:
If 1/4 is used for management and 1/2 are used for sales, together, that's only a total of 3/4 leaving 1/4 left for warehouse workers.
Hope this helps.
Answer:
15 rooms (1/4)
Step-by-step explanation:
No of rooms for the management: 60 × 1/4 = 15
No of rooms for the sales: 60 × 1/2 = 30
No of rooms for warehouse workers: Total rooms - (No of rooms for the management + No of rooms for the sales)
= 60 - (15 + 30)
= 60 - 45
= 15
The number of rooms for the warehouse workers is 15 (which is 1/4 of the total number of rooms).
A bag of marbles contains 6 bluemarbles, 2 yeloow marbles, 4 red marbles, and 1 green marble. What is the [robability of reaching into the bag and selecting a yellow marble?
Answer:
The probability of picking a yellow marble is 2/13
Step-by-step explanation:
First of all, we need to know the total number of marbles that are in the bag. To do this, we will have to add up all the marble colors together.
This will give us 6 + 2 +4+ 1 = 13 marbles in total.
The next step is to find the number of yellow marbles in the bag.
We can get this from the question. There are 2 yellow marbles in the bag.
The probability of selecting a yellow marble can be obtained by dividing the number of yellow marbles by the total number of marbles in the bag
This will give us 2/13.
Therefore, the probability of picking a yellow marble is 2/13
brad converted 5/11 to a decimal, and his result was repeating decimal. does this mean that the value is rational or irrational?
Answer: It means the value is rational
Step-by-step explanation:
Repeating decimals can be converted to fractions and rational numbers are numbers that can be expressed as a fraction but irrational numbers cannot be expressed as a fraction and neither does it terminate or repeat.
PLS HELP ALGEBRA 2 QUESTION ASAP 5 STARS AND BRAINLIEST what type of polynomial is [tex]-5x^{4}y+3x^{2}y+4xy-6y+1[/tex] and show your work.
Answer:
Binomial
Step-by-step explanation:
Edited to add:
It can also be called a binomial because there are 2 unlike terms x and y. I'm not sure what you are studying, so it may be better to go with binomial. The Quartic is when you are looking at the degree of a single term polynomial.
You can name a polynomial based on terms, or based on degrees.
If it's based on degree it would be bi-quadratic, because it's ^4 and you have 2 different terms. If you're looking at terms it would be binomial because you have x and y to solve for.
The degree of terms is a major deciding factor whether an equation is homogeneous or not. A polynomial of more that one variable is said to be homogeneous if the degree of each term is the same. For example, 2x^7+5x^5y^2-3x^4y^3+4x^2y^5 is a homogeneous polynomial of degree 7 in x and y.
You have a 4 term polynomial with 2 variables x and y. The highest degree in your equation is 5 (4 + 1 from the first term) so the degree of the multivariable polynomial expression is 6.
All these answers are correct, it just depends what you're studying. If some of these words are new, and others you recognize from class or your book, go with the one that looks familiar.
Answer: 5th degree polynomial (quintic polynomial)
====================================================
Explanation:
5x^4y is the same as 5x^4y^1. The exponents 4 and 1 sum to 4+1 = 5
The term 3x^2y, or 3x^2y^1, has the exponents add to 3
The term 4xy has the exponents add to 2
The largest sum of exponents is 5, so we have a 5th degree polynomial
This is known as a quintic polynomial
Note: the degree of the polynomial is equal to the largest sum of exponents for each term, so the degree is 5.
If triangle ABC is reflected over the y-axis which point(s) will be their own image(s)?
Answer:
Please read the explanation!
Step-by-step explanation:
Hi! I will try to do my very best with helping you. Because there is not an example that goes along with this question, I will give my own.
Lets say we have triangle ABC in quadrant II. The Points are:
A: (-5,1)
B: (-3,5)
C: (-1,1)
If we plot that than we have a triangle. And when we reflect anything, not just a triangle, we would need to basically flip it over and mirror the image. The triangle will move, but it is the same triangle as it was before. All that has happened is that is was married to the otherside.
If you are a bit confused think of when you are in front of a mirror.
So let's reflect it over the y-axis.
When in doing so, you need to make sure that the x in (x, y) is changed into a positive number. We need to make sure that we know that quadrant I has positive x-axis.
So,
A becomes (5,1)
B becomes (3,5)
C becomes (1,1)
And if you plot that it should be flipped or reflected like a mirror image.
I really hope this helped!
HELP PLEASE 5 points
Answer
the next step is either 7-2 or 5 (Subtracting 2 from both sides)
solution is 20
Step-by-step explanation:
Answer:
5=p/4
Step-by-step explanation:
When you subtract 2 for both sides you are left with 5=p/4. The 2 was eliminated because 2-2=0.
which is equivalent 4 pencils for every 2 student
Answer:
8 pencils for every 4 students
Step-by-step explanation:
Answer:
4 pencils per 2 students
explanation:
i just did it
Hi.
i need help with this question.
Workings Please.
1. A 210° sector of a circle of radius 10cm is used to make a cone. Find the radius of the base of the cone and it's height.
Answer: radius = 5.83 cm height = 8.12 cm
Step-by-step explanation:
First, let's find the circumference of the 210° section of the circle.
[tex]C=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\C=2\pi(10)\bigg(\dfrac{210^o}{360^o}\bigg)\\\\\\C=\dfrac{35}{3}\pi[/tex]
The circumference of the the cone is [tex]\dfrac{35}{3}\pi[/tex] . We can use this to find the radius .
[tex]C=2\pi r\\\\\dfrac{35}{3}\pi=2\pi r\\\\\\\dfrac{35\pi}{3\cdot 2\pi}=r\\\\\\\dfrac{35}{6}=r\\\\\\5.83=r[/tex]
When you fold the 210° section into a cone, the slant height is the original radius of 10. We can use the radius and slant height of the cone to form a right triangle with the height. Use the Pythagorean Theorem to find the height.
radius² + height² = slant height²
[tex]\dfrac{35}{6}^2\ +\ h^2=10^2\\\\\\.\qquad \quad h^2=10^2-\bigg(\dfrac{35}{6}\bigg)^2\\\\.\qquad \quad h=\sqrt{\dfrac{6^2(10)^2-35^2}{6^2}}\\\\\\.\qquad \quad h=\sqrt{\dfrac{2375}{36}}\\\\\\.\qquad \quad h=8.12[/tex]
What is the length of the side of the triangle opposite to theta if theta is equal to 30 degrees and the hypotenuse is 2 units
Answer:
1 unitStep-by-step explanation:
In a right angled triangle, the side opposite to the acute angle theta given is always the opposite side of the triangle and the longest side is the hypotenuse.
Given the angle theta in a triangle to be 30 degrees and the hypotenuse to be 2 units, to ge the opposite side, we will use the trig identity SOH in SOH, CAH, TOA
Sin(theta) = Opposite/Hypotenuse
Substitute the given parameters into the expression
sin30° = Opposite/2
cross multiply
Opposite = 2 * sin30°
Opposite = 2 * 0.5
Opposite = 1 unit
Hence the length of the side of the triangle opposite to theta is 1 unit.
In a box, there are black pens, red pens and green pens
the ratio of black pens to not black pens is 9:11
the ratio of green pens to not green pens is 3:5
fins the ratio of black pens to red pens to green pens
What do we know?
There are 9 black pens and 3 green pens.
What else do we know?
We know that 11 of the pens aren't black, and 5 of them aren't green.
Black pens (9) : red pens (6) : green pens (3)
How'd I get 6?
If 11 pens aren't black, they had to be green, but 5 of them weren't green. So, I subtracted 11 from 5 to get 6 red pens.
I hope that makes sense.
Final answer:
9:6:3
WARNING: I could be wrong as I'm not fully sure, but this is what I think.
Carla is 5 years older than Nick and Nick is 4 years older than Nancy. The
sum of their ages is 46. How old is Carla?
Answer:
Carla is 20 years old
Step-by-step explanation:
If Nancy is 11, then Nick is 15 and Carla 20. 11+15+20=46
In a morning walk three persons step off together their steps measure 80cm,85cm and 90cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?
Answer:
The minimum distance each should walk to cover the same distance is 12240 cm
Step-by-step explanation:
The minimum distance each should walk so that all can cover the same distance in complete steps is the same as the Lowest Common Multiple (LCM) of the three numbers, which is the least integer that is divisible by each of the three numbers.
To find the LCM, we will first find the lowest multiples of each of the numbers
80 ⇒ (2) × 2 × 2 × 2 × (5)
85 ⇒ 17 × (5)
90 ⇒ (2) × 3 × 3 × (5)
Note: in finding LCM, the numbers common to at least 2 (in bracket), out of the three terms is written just once.
∴ LCM = 2 × 2 x 2 × 2 × 3 × 3 × 5 × 17
= 16 x 9 x 85
= 12240 cm
Therefore, the minimum distance each should walk to cover the same distance is 12240 cm
Find the product. (3x2 + 2y) (5x2 + y) A. 15x4 + 13x2y + 2y2 B. 15x4 + 13x2y2 + 2y2 C. 8x4 + 10x2y.+ 3y2 D. 15x4 + 10x2y + 2y2
Answer:
Its A. 15x^4+13x^2y+2y^2
Number between 250 and
350. It’s square root is an integer
Answer:
256, 289, 324.
Step-by-step explanation:
256, square root is 16.
289, square root is 17.
324, square root is 18.
What is 3 to the 8th power times 3 to the 2nd power simplified and what law did you use?
Answer:
[tex]3^{10}[/tex]
Step-by-step explanation:
[tex]3^{8}*3^{2}=3^{8+2}=3^{10}[/tex]
Using the multiplication/product law of exponents, you can add the exponents up.
Answer:
3^10 and the law used would be the Product Rule for exponents.
Step-by-step explanation:
turning this question into an equation you would get:
3^8 * 3^2 = ?
The law you use in this situation is the product rule for exponents. If you have the same base number (in this case it is 3) with exponents and you are multiplying them, then you can add the exponent numbers and keep the base the same. This product rule looks like this:
A^x * A^y = A^(x+y)
Applying it to this question, you get
3^8 * 3^2 = 3^(8+2)
3^(8+2) is 3^10.
Therefore the simplified expression is 3^10.
Th sum of three(3) consecutive integers is 72. What are the integers?
Answer:
X + X + 1 + X + 2 = 72
3X + 3 = 72
3X + 3 - 3 = 72 - 3
3X = 69
3X/3 = 69/3
X = 23
Step-by-step explanation:
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side.
What is the radius given the
diameter is 15?
Answer:
7.5
Step-by-step explanation:
the radius of a circle is half of the diameter.
so: 15/2=7.5
hope that helps
The radius of a circle is 3 millimeters. What is the circle's circumference?
r=3 mm
Use 3.14 for .
Answer: bro it’s
18.84
Step-by-step explanation:
4b+5=1+5b what does b equal
Answer:
b=-1
Step-by-step explanation:
1+5b=4b+5
-4b -4b
1+4b=5
-4b -4b
1=4b+5
-5 -5
-4 = 4b
b=-1
sorry i made a mistake this could've been shorter but :D
one and three hundred twenty four thousandths as a decimal
Answer:
1.324
Step-by-step explanation:
Answer:
1.324
Step-by-step explanation:
One whole and three hundredths is 1.3
Add the twenty four thousandths and you get 1.324
Hope this helps!
Math problem giving brainly!
Answer:
can you type the question so i can answer it, i cant see the picture
Step-by-step explanation:
If -5 > a and a > b then -5 is *
Answer:
greater than b
Step-by-step explanation:
We can use the transitive property for this answer. The transitive property states that if A=B, and B=C, A will always be equivalent to C. Similarly in this equation, -5 is greater than a, and a is greater than b, so -5 must be greater than b.
Which point best approximates StartRoot 45 EndRoot? A number line going from 0 to 9. Point A is slightly to the right of 2, point B is to the left of 5, point C is to the left of 7, and point D is to the right of 7.
Answer:
b
Step-by-step explanation:
Two coins are selected at random from 5 coins: 3
dimes and 2 quarters. What is the probability that
both are dimes?
Select all the true statements. Line segment from -6 to 6. Point A is at -2, point b is at 1 and point c is at 6 Group of answer choices The length of AB is -3. The length of BC is 6. AB + BC = AC d(B, C) = BC = |6 - 1| AB + AC = BC
Answer:
AB + BC = AC
d(B, C) = BC = |6 - 1|
Step-by-step explanation:
Given the following information :
Line segment from -6 to 6. Point A is at -2, point b is at 1 and point c is at 6 Group of answer choices The length of AB is -3
Length of line segment spans from - 6 to + 6
Location of points :
Point A = - 2
Point B = 1
Point C = 6
AB = 3
BC = 5
AC = 8
AB + BC = AC ; 3 + 5 = 8
d (B, C) = 5 = |6 - 1|
Kindly check attached picture for more explanation
In order to join an online tutoring group, there is a
$40 startup fee and a $5 monthly fee. After how
months would it have cost $90? Write an equation
Answer:
10 months after the start fee
Write expression without using exponents.
X^2
Answer:
x(x) or x*x
Step-by-step explanation:
To write this in the expanded form you just multiply the base(x) by itself
carlos spent half of his paycheck on concert tickets. to earn more money, he recycled cans and received $10. how much was his paycheck if he ended up with $34
Is it parrallel, perpendicular, or neither x=-3 y=3
Answer:
I think its neither because
Step-by-step explanation:
Parallel lines and their slopes are easy. Since slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope — and lines with the same slope are parallel. Perpendicular lines are a bit more complicated.
Answer:
perpendicular
Step-by-step explanation:
They form a 90 degree angle because one is vertical and the other is horizontal.