The dimension of the box is 50in by 10in by 15in
How to calculate the volume of a figureThe volume of an object is the quantity of substance it contains.
The formula for calculating the volume of the box is expressed as:
V = lwh
where:
l is the lengthw is the widthh is the heightGiven the following parameters
length = 5w
height = w + 5
Substiute
7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0
Factorize to determine the width
On factorizing, the width of the box is 10 inches
Recall that:
l = 5w
l = 5(10)
l = 50inches
Get the height
h = w + 5
h = 10 + 5
h = 15inches
Hence the dimension of the box is 50in by 10in by 15in
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Answer the questions below and show all of your
1. A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy it
the volume is 729 cubic inches?
Answer:
6.75
Step-by-step explanation:
729=1/2*216h
729=108h
h=6.75
I think idrk
Both circles have the same center. What is the area of the shaded region.
D=48 km
11km
Use 3.14 for pie
Answer: the answer 50.22
Step-by-step explanation:
Below are the supply and demand equations for umbrellas in a certain market. in these equations, p represents price, d represents demand, and s represents supply. d = startfraction negative 4 over 3 endfraction p 22 s = 3 p minus 36 what is p at the point of equilibrium, to the nearest tenth? a. 19.3 b. 16.5 c. 13.4 d. 12.0
The value of price (p) at a point of equilibrium is 13.4. Then the correct option is C.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The equation of the demand (D) and supply (S) is given below.
[tex]\rm D = -\dfrac{4}{3}p +22\\\\S \ = 3p -36[/tex]
Where p is price.
At equilibrium, we have
D = S
Then
[tex]\begin{aligned} \dfrac{4}{3}p +22 &= 3p -36\\\\3p + \dfrac{4}{3} p &= 36 + 22\\\\\dfrac{13}{3}p &= 58\\\\p &= 13.38 \approx 13.4 \end{aligned}[/tex]
More about the linear system link is given below.
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Eighth grade
CC. 14 Box plots Y Z
Mrs. James, a sixth grade teacher, recorded how many minutes each student reported
reading over winter break.
Time spent reading (min. )
+
0
100
200
300
400
500
What was the upper quartile of the time spent reading?
minutes
Submit
The upper quartile of the time spent reading, as shown in the box plot is: 300.
What is the Upper Quartile of a Data in a Box Plot?In a box plot, the upper quartile is represented by the data point located at the end of the edge of the rectangular box in the box plot.
In the box plot, 300 is the value located at the end of the edge of the rectangular box.
Therefore, the upper quartile of the time spent reading, as shown in the box plot is: 300.
Learn more about upper quartile on:
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Can you guys solve this out for me?
Answer:
9/32 units
and
3/4 units
Step-by-step explanation:
pls tell me if im wrong
Help PLEASE find AD and BC
Step-by-step explanation:
so AD=DC and DC=12 so AD=12
the lines AB=BC so 3x+1=2x+6 simplify and get x=5
plug in and get BC=16
How many ways can 8 books be arranged on a shelf? Show all of your work for full credit.
There are 40,320 ways, in which 8 books can be arranged on a shelf.
Solution:Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.
If one book is placed in the first place, then 7 books will be placed in front of it. If 2 books are placed in the 2nd place, then only 6 books can be placed after that book. This sequence will continue till 1 .Permutations :
A permutation is an arrangement of objects in a definite order.➲ P ( n, r )= n ! / ( n - r ) !
n = total number of objectsr = number of objects selectedThe number of ways to arrange 8 books on a shelf will be :
➝ P ( n, r ) = n ! / ( n - r ) !
➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !
➝ P ( n, r ) = 8 ! / 0 !
➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1
➝ P ( n, r ) = 40, 320
ㅤㅤㅤㅤㅤㅤ~ Hence, there are 40,320 ways in which 8 books can be arranged on a shelf !
If the 3 books can't be together (but any 2 of the 3 can be) then it's 36,000 ways. If any one of the 3 books can't touch either of the other 2, it's 15,840 ways.
Explanation:I'm not sure if the question is saying that all three books can't be together in a group (and so biology and history can be together, but biology, history and programming can't), or if the books in that group can't sit next to other books in the group (and so biology and history can't be together). Let's do it both ways - case 1 will be all three together and case 2 will be any 2 together.
Before we work this, let's first see the number of ways we can have all 8 books arranged. Order matters and so we can approach this using a permutation equation. Moreover, since we're using all the books, we'll end up with the total number being:
8 ! = 40 , 320 .
What is the measure of \angle R∠Rangle, R?
Answer:
106⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles is equal to 180⁰
What information must you know about a triangle in order to use the Pythagorean Theorem to find the length of a missing side?
In order to use the Pythagorean Theorem, you must know the length or lengths of
Choose...
of the triangle and know that the measure of one of the angles is
Choose...
.
Answer: your obviously going to need to use the method a2+b2=c2
Try to calculate the radius if not given to you.
Step-by-step explanation:
In order to use the Pythagorean Theorem, you must know the lengths of at least 2 sides (any 2 sides, but it has to be 2.) of the triangle and know that the measure of one of the angles is 90 degrees.
Amy glues 6 stickers on the sides of a cube: She shows the cube to her friend (see picture). Which sticker is on the face opposite to the mouse?
Answer:
When I grow up I want to be
Emma has a round trampoline with a diameter of 2 yards. What is the trampoline's radius?
yards
Answer:
You know the radius is 1/2 of the diameter.
You can simply do 2/2 which is ONE.
The radius of the trampoline with a diameter of 2 yards will be 1 yard.
What is the radius?The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.
The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,
Radius = Diameter / 2
Radius = ( 2 ) / 2
Radius = 1 yard
Therefore, the radius of the circle will be 1 yard.
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Is the length of the hypotenuse of a right triangle with legs that measure 5 cm and 6 cm a rational number or an irrational number? Justify your answer.
Answer:
irrational
Step-by-step explanation:
Use the Pythagorean theorem.
5² + 6² = c²
25 + 36 = c²
c² = 61
7² = 49
6² = 64
61 is between 7² and 8², so it is not rational.
PLEASE HELP! I WILL GIVE BRAINLIEST AND NO LINKS PLEASE!
Answer:
Your answer would be the first one, 7/8 and 0.92, because they are only ones greater than 5/7 the rest equal under 5/7
Answer:
The two solutions: 7/8 & 0.92
Step-by-step explanation:
[tex]\frac{5}{7} =0.714[/tex]
7/8 = 0.875, because 0.875 [tex]\geq 0.714[/tex]
0.92 because [tex]\geq[/tex] 0.714
Hope this helps
Please help with this i will give a big reward on god.
Answer: 2.9
Step-by-step explanation:
area of roof = (.5)(base of house)(left side - right side)
area of roof = (.5)(2)(2.8 - 1.8)
area of roof = (.5)(2)(1) = 1
area of bottom = left height x base of house
area of bottom = 1.8 x 2 = 3.6
area of house = area roof + area bottom
area of house = 1 + 3.6 = 4.6
area without door = area house - area door
area door = door height x door width
area door = 1.7 x 1
area door = 1.7
area without door = 4.6 - 1.7 = 2.9
4 What is the total perimeter?
(2 pts)
4ft,
12 ft.
Show ur work 30 points
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
let's solve ~
Perimeter of the composite figure :
Perimeter of rectangle + circumference of semi circle - common side.
Perimeter of rectangle :
[tex]\qquad \tt \dashrightarrow \:2(4 + 12)[/tex]
[tex]\qquad \tt \dashrightarrow \:2(16)[/tex]
[tex]\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} [/tex]
Circumference of Semicircle :
[tex]\qquad \tt \dashrightarrow \:\pi r[/tex]
[tex]\qquad \tt \dashrightarrow \:3.14 \times 2[/tex]
[tex]\qquad \tt \dashrightarrow \:6.28 \: ft[/tex]
Length of common side = 4 feet
So, perimeter of composite figure :
[tex]\qquad \tt \dashrightarrow \:32 + 6.28 - 4[/tex]
[tex]\qquad \tt \dashrightarrow \:34.28 \: ft[/tex]
16+(5 to the 2nd power -7)divided by 3
answer:
11.3(repeating) or [tex]\frac{34}{3}[/tex]
explanation:
attached
--
if this helped, please consider giving brainliest !
Find the surface area of this figure.
Answer:
66550000000 in.²
Step-by-step explanation:
22³in x 10⁴in x 5⁴in = 66550000000 in
x is proportional to root y where y>0
Answer:
x is proportional to √y where y > 0
Step-by-step explanation:
The graph shows a proportional relationship between pounds of aluminum and money earned from recycling.
The table below shows the amount of money that is earned from recycling copper.
Chose a Answer
You earn the same per pound for aluminum and copper
You earn more per pound recycling aluminum than copper.
You earn more per pound recycling copper than aluminum.
Not enough information to draw conclusions.
Answer: You earn more per pound recycling copper than aluminum.
Step-by-step explanation:
The scores of an eighth-grade math test have a normal distribution with a mean mu = 83 and a standard deviation sigma = 5. if din’s test score was 92, which expression would she write to find the z-score of her test score? z = startfraction 92 minus 83 over 83 endfraction z = startfraction 83 minus 92 over 5 endfraction z = startfraction 92 minus 83 over 5 endfraction z = startfraction 5 minus 83 over 92 endfraction
The z-score is the ratio of the difference of sample and means to the standard deviation. Then the correct option is A.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The scores of an eighth-grade math test have a normal distribution with a mean of 83 and a standard deviation of 5. If the x is 92. Then the test score will be
The z-score will be given as
[tex]z = \dfrac{x - \mu}{\sigma }\\\\z = \dfrac{92 - 83 }{5}[/tex]
More about the z-score link is given below.
https://brainly.com/question/15016913
Answer:
A
Step-by-step explanation:
edge 2022
Factor 5x² + 8x – 4 using substitution.
Answer:
(
5
x
−
2
)
(
x
+
2
)
is the factorised form of the expression.
Explanation:
5
x
2
+
8
x
−
4
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
5
⋅
(
−
4
)
=
−
20
AND
N
1
+
N
2
=
b
=
8
After trying out a few numbers we get
N
1
=
10
and
N
2
=
−
2
10
⋅
(
−
2
)
=
−
20
, and
10
+
(
−
2
)
=
8
5
x
2
+
8
x
−
4
=
5
x
2
+
10
x
−
2
x
−
4
=
5
x
(
x
+
2
)
−
2
(
x
+
2
)
(
x
+
2
)
is a common factor to each of the terms
=
(
5
x
−
2
)
(
x
+
2
)
(
5
x
−
2
)
(
x
+
2
)
is the factorised form of the expression.
Solve for x (literal equations):
c=b-bx show work
Answer:
x = [tex]\frac{b-c}{b}[/tex]
Step-by-step explanation:
c = b - bx ( add bx to both sides )
bx + c = b ( subtract c from both sides )
bx = b - c ( divide both sides by b )
x = [tex]\frac{b-c}{b}[/tex]
The Molina family's pancake recipe uses 2 teaspoons of baking powder for every 1 3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?
Answer: 7
Step-by-step explanation:
help me!
[tex]\frac{x}{3}+10=\frac{3x-8}{2}[/tex]
Answer:
[tex] \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}[/tex]
hope helpful ~
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex] \frac{x + 30}{3} = \frac{3x - 8}{2} [/tex]
[tex]2x + 60 = 9x - 24[/tex]
[tex]60 + 24 = 9x - 2x[/tex]
[tex]84 = 7x[/tex]
[tex]x = 12[/tex]
I hope it will be helpful
Please, Help.
the answer isn't 30°
The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A)
How to find a missing angle by triangle properties
Triangles are geometrical figures formed by three sides and whose sum of internal angles equals 180°. There are two kind of triangles existing in this question: (i) Right triangles, (ii) Isosceles triangles.
Right triangles are triangles which one of its angles equals 90° and isosceles triangles are triangles which two of its sides have equal measures.
According to the statement, we know that triangle BQR is an isosceles triangle, whereas triangles ABC, ANB and NBC are right triangles. Based on the figure attached below, we have the following system of linear equations based on right triangles ABC and NBC:
2 · x + 90 + θ = 180 (1)
(90 - x) + 90 + θ = 180 (2)
By equalizing (1) and (2) we solve the system for x:
2 · x = 90 - x
3 · x = 90
x = 30
And by (1) we solve the system for θ:
θ = 180 - 2 · x - 90
θ = 30
The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A) [tex]\blacksquare[/tex]
To learn more on right triangles, we kindly invite to check this verified question: https://brainly.com/question/6322314
John is 62 inches tall. He is stacking algebra books on his desk. His teacher tells him not to make the stack taller than his own height. The top
of his desk is 32 inches from the floor, and each book is 1.5 inches thick. John wants to write an inequality to show how many books he could
stack.
Which inequality sign should John use?
Answer:
The answer would be [tex]\leq[/tex] :)
Step-by-step explanation:
The equation would look like this :)
1.5x + 32 [tex]\leq[/tex] 62
Have an amazing day!!
Please rate and mark brainliest!!
levi works 8 hours each workday . He works every day for 10 days. If he made 620 during those 10 days ,how much does levi make per hour?
Answer:
7.75$
Step-by-step explanation:
620/10 = 62
This gives you the amount of hours (8) in the day
62/8 = 7.75
This gives you how much Levi makes each hour :)
are my answers correct?
1. 17× = 170 = 10
2. x = 23 = 2
___
11
3. 3X = 21 = 7
4. X = 17 = 3.4
____
5
1. x = 10 is correct
2. not sure
3. x = 7 is correct
4. not sure
Simplify: [(13 + 8) ÷ 3] − 4 =
Answer:
3
Step-by-step explanation:
First you do 13 + 8
13 + 8 = 21
Then you divide by 3
21 divided by 3 is 7
Finally you subtract 4
7 - 4 = 3
Hope this helps!!
Answer:
3
________________________________________________________
SolveWhen doing problems, remember PEMDAS, the order of operations:
parenthesesexponentsmultiplicationdivisionadditionsubtractionGo by the list from top to bottom, and prioritize the higher-up orders first.
Start with 13 + 8
[tex]13 + 8 = 21[/tex]
Next, divide by 3
[tex]21 / 3 = 7[/tex]
Lastly, subtract by 4
[tex]7 - 4 = 3[/tex]
________________________________________________________
Questions?Ask me in the comments box, please.
Hi I could use some help with this, thank u!
Alright let's solve this step by step:
Question 1: Find the perimeter of the baseDefinition of Perimeter: is all the side length of the shapes added up⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km
Question 2: Height of PrismDefinition of height: is the distance from the base of the figure to the top base of the figure
⇒ Height = 4.3km
Question 3: Lateral AreaDefinition of Lateral Area: area of nonbase face only
⇒ area of the two rectangles on the narrower side of the figure
⇒ plus the area of the pentagon on the wider side of the figure
Area of Pentagon= [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]
Area of Rectangle = 6 * 5 = 30 km^2Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2
Question 4: Find the area of the base
Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2
Question 5: Find the surface area of the figureDefinition of the Surface Area: it is a measure of the total area that the surface of the object occupies
⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2
Hope that helps!
