The number of rectangular trail mix box that will fit into the rectangular box to be shipped is 144.
Volume of a rectangular prism
The volume of a rectangular prism is represented as follows;
volume of rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
volume of the box = 18 × 24 × 12 = 5184 inches³
Therefore, the volume of each trail mix box is as follows:
volume = 4 × 3 × 3 = 36 inches³
Therefore,
number of trail mix box that can fit the box to be shipped = 5184 / 36 = 144
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Answer:
144 (100% correct)
Step-by-step explanation:
To calculate the number of trail mix boxes that will fit into the shipping box, we need to compare the volumes of the two boxes.
First, let's calculate the volume of the shipping box (rectangular prism):
Volume of the shipping box = length * width * height
Volume of the shipping box = 18 in * 24 in * 12 in
Volume of the shipping box = 5184 cubic inches
Next, let's calculate the volume of each trail mix box (rectangular prism):
Volume of each trail mix box = length * width * height
Volume of each trail mix box = 4 in * 3 in * 3 in
Volume of each trail mix box = 36 cubic inches
Now, we divide the volume of the shipping box by the volume of each trail mix box to find the number of trail mix boxes that will fit:
Number of trail mix boxes = Volume of the shipping box / Volume of each trail mix box
Number of trail mix boxes = 5184 cubic inches / 36 cubic inches
Number of trail mix boxes = 144
Therefore, 144 trail mix boxes will fit into the shipping box.( For confirmation to those who need it)
A triangle has one side that is 7 cm long and the other side is 3cm long.
Help please
In any triangle, a side is longer than the difference between the other two. A side is also less the the sum of the other two. If these two rules are not obeyed then a triangle cannot be formed by those sides.
a = 7 cm. b = 3 cm.
Then c > 7-3 = 4 cm and also, c < 7+3 = 10 cm.
4 cm < the third side < 10 cm
3l of ice cream is 10$ 4l of ice cream is 12% which is the better choice
Answer:
4l of icecream
Step-by-step explanation:
10÷3=3.33
12÷4=3
I’m too tired pls help I’ll mark brainlest
Answer:
B is the answer I thought it was C sorry
Option B is correct
1/2 = 2/4
А support wire 12 yards long is attached to the top of a utility pole 10
yards tall and is then stretched taut. To the nearest tenth of a yard, find
how far from the base of the pole wire will be attached from the ground.
Hint: Solve using this equation:
2
2
x² + 10² = 12²
Answer:
6.6 yd
Step-by-step explanation:
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
[tex]10^{2}[/tex]+[tex]b^{2}[/tex]=[tex]12^{2}[/tex] Substitute a= 10 and c=12
100+[tex]b^{2}[/tex]=144 Evaluate the Powers
[tex]b^{2}[/tex]=44 Subtract 100 on both sides.
b=[tex]\sqrt{44}[/tex] Square root both sides b>0 so you dont need ⊥
b=6.6 Use a calculator to evaluate.
Can you please help me with 12 please?
Answer: y = 1/2x + 12
4.80 for 16 ounces of cereal how much did i spend per ounce?
Answer:
0.3 per ounce
4.80 / 16 = 0.3
0.3 × 16 = 4.80
WXYZ is a parallelogram. What is the angle DZW?
The correct angle measurement DZW = 55°
How to find the angle DZW?Note the following parameters
, m∠W = 125° and m∠Z = 55°
The measure of angle <DYZ is given as:
<DYZ = 125 ⁰
The opposite angles of a parallelogram are equal.
This means that, angles W and Y have equal measures
This implies that
<ZWZ = <DYZ
<XWZ=125
The adjacent angle of a parallelogram add up to 180 degrees.
This is to say that
<DXW = 180 - <DYZ
<DXW= 180-125
<DXW= 25
Angles X and Z are equal because they are opposite angles.
This is to say that
<Z = 55
Hence, the measure of angle DZW is 55⁰
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please help me find the answer to this, the work on it is wrong!!
Answer:
P=2(8+15)
2(23)
=46 units
A=L×W
8×15
=120square units
Which of the following statements is true?
A.
The components of a vector must be nonzero.
B.
A vector’s magnitude is equal to the sum of the squares of its components.
C.
The magnitude of a vector is never negative.
D.
The direction of a vector is always less than the magnitude.
Plsss help meee. Worth 15 points<3
A sentence with antonyms has two words with
somewhat different meanings
opposite meanings
similar meanings
the same meanings
Answer:
a word opposite in meaning to another (ex bad and good)
Please help I need help
Answer:
see photo attached for detailed analysis
Step-by-step explanation:A watering can contained 5 1/2 quarts water. After all the plants were watered, only 4 cups remained.
How many cups of water were used to water the plants?
A: 7 Cups
B: 18 Cups
C: 40 Cups
D: 84 Cups
Answer:
b:18 cups
Step-by-step explanation:
It is because 5.5 quarts of water is equal to 22 cups of water because 1 quart is equal to 4 cups.
now when you take 4 cups away you have 18 cups left
Lines a and b are parallel. What is the measuee of angle S?
Answer:
The measure of angle s is 22°
Step-by-step explanation:
Given:
Horizontal lines A and B are parallel and are intersecting because a line is going through the both of them.Top right angle of line A is labeled to be 158°, while the top left angle in line B is labeled S° indicating this variable is the missing degrees.To find:
The angle of S, in degrees.∠1 and 158° are both on a straight line and supplementary.
(Supplementary angles are those angles that sum up to 180 degrees. )
So solving,
⇒ ∠1=180°-158°=22° ....> Angles ∠1 and S are interior angles
Due to lines A and B being parallel, all interior lines are equal.
As a result, the answer is therefore 22°.
A student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $49. How many of each type of bill does he have?
The student has $1 bills and
(Type whole numbers.)
$5 bills.
Answer:
He has 8 five $5 bills and 9 $1 bills
Step-by-step explanation:
($5×8)+($1×9)=$49
Jean-Paul incorrectly states that
4.2874 + 1.286 = 4.416.
His work is
shown below.
Explain Jean-Paul's
mistake and correct his work.
Please help due at 4:20
In a random sample of 74 homeowners in a city, 22 homeowners said they would
support a ban on nonnatural lawn fertilizers to protect fish in the local waterways. the sampling
method had a margin of error of +3.1%.
a) find the point estimate.
b) find the lower and upper limits and state the interval.
The point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
Point estimate = 22/74 = 0.2973 = 29.73%
Lower limit = point estimate - MOE = 29.73 - 3.1 = 26.63%
Upper limit = point estimate + MOE = 29.73 + 3.1 = 32.83%
Thus, the point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.
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Find the distance between the given parallel planes. 4x − 5y z = 16, 8x − 10y 2z = 2
The distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.
What is a plane?
A plane is a flat surface on which a straight line joining any two points on it would wholly lie.
Given equations are
[tex]4x-5y+z=16[/tex]
[tex]8x-10y+2z=2[/tex]
The distance between two planes is given by the formula:
[tex]D=\dfrac{|d_2-d_1|}{\sqrt{a^2+b^2+c^2}}[/tex]
Here from equations
[tex]4x-5y+z=16[/tex]
[tex]8x-10y+2z=2[/tex]
We can also write the equation [tex]8x-10y+2z=2[/tex] as:
[tex]4x-5y+z=1[/tex]
So now the two equations are:
[tex]4x-5y+z=16[/tex]
[tex]4x-5y+z=1[/tex]
here a=4 b=-5 c =1 and d1=16 d2=1
Putting the values in the equation.
[tex]D=\dfrac{|-16+1|}{\sqrt{4^2+(-5)^2+(10^2)}}[/tex]
[tex]D=2.34[/tex]
Hence the distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.
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The graph relates the temperature change y (in degrees Fahrenheit) to the altitude change x (in thousands of feet). Altitude Change
Based on the relationship between the temperature and altitude change, the slope is -3.6 and the y-intercept is 59. The equation of the line is y = - 3.6x + 59.
What is the equation for this line on altitude change v. temperature change?First find the slope. This can be found by the formula:
= (Y₂ - Y₁) / (x₂ - x₁)
Two points on line:
(0, 59) and (7, 33.8)
Slope is:
= (33.8 - 59) / (7 - 0)
= -3.6
The y intercept is the point the line crosses the y axis which is 59.
The formula is:
y = mx + c
Where;
m = slope
c = y intercept
So the equation is:
y = -3.6x + 59
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Jen and her friends are designing a robot for a STEM competition. The goal of the competition is to have a robot complete an obstacle course in the least amount of time.
Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course. The director of the competition laid out components of the obstacle course on a coordinate plane. Instead of giving the width and maximum height of the arch, the director created an expression based on the location of the arch on the coordinate plane and gave each team this expression to represent the height of the arch, in inches, at any value of x along the arch:
-x^2 + 5x + 24.
Factor the expression, and use the factors to find the x-intercepts of the quadratic relationship it represents.
Type the correct answer in each box, starting with the intercept with the lower value.
The x-intercepts occur where x =___ and x =___
The x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).
What is a factor of quadratic equation?The factor of a quadratic is the terms in linear form, which are when multiplied together, give the original quadratic equation as a result.
Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course.
The expression to represent the height of the arch, in inches, at any value of x along the arch:
[tex]-x^2 + 5x + 24.[/tex]
Factorize this expression by equating it to zero and changing its sign,
[tex]\begin{aligned}-x^2 + 5x + 24=0\\x^2 - 5x - 24=0\\x^2 - 8x +3x- 24=0\\x(x - 8)+3(x - 8)=0\\(x-8)(x+3)=0\\x=8,-3\end[/tex]
Thus, the x intercept of the equation is (8,0) and (-3,0)
Hence, the x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).
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Answer: x = 8,0 and x = -3,0
Step-by-step explanation:
find the area of this parallelogram 13cm 15cm 20cm
Answer:
260cm²
Step-by-step explanation:
area of this parallelogram 20×13=260cm²
What is the amplitude of this equation? y = -10cos(5x)
Answer:
The amplitude is 10.
Answer:
the amplitude of this equation is 10
Step-by-step explanation:
I took extra mathematics in high school :)
I hope this helps you! Good luck !
2
The area of a rectangle is given by the
expression 36cd + 90d. Which of the
following are possible dimensions for
the rectangle?
O A. 9 by 40 + 10d
O B. 36 by cd + 5d
O C. 6d by 6c + 15
OD. 18d by 2c + 5d
Answer:C
Step-by-step explanation:
6d(6c +15) = 36cd +90d
same thing as last time i just need an answer don't take this down
Answer:
The answer is A.
Answer:
Step-by-step explanation:
Comment
The marks between numbers (there are 3 between each number) represent 0.25
Your point is nearly -6.
Go one backwards -6 + 0.25 = - 5.75
You have to be going toward the positive direction because -6 is smaller than -5.75
Answer: A
3(-4x + 5y) - 3x(2 + 4y simplify please
Three figures exist such that abcd ≅ ghij and bcda ≅ rstu. if gh = 6 cm, hi = 8 cm, ij = 10 cm, and gj = 9 cm, what is ts? 6 cm 8 cm 9 cm 10 cm
The figures abcd, ghij and rstu are congruent figures, and the value of length ts is 8 cm
How to determine the length ts?The congruent statement is given as:
abcd ≅ ghij and bcda ≅ rstu
The above statement means that:
ts = dc = ij
From the question, we have:
ij = 10 cm
This means that
ts = 10 cm
Hence, the value of length ts is 8 cm
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Answer:
D: 10 cm
Worked for me on the "Congruent Figures" quiz on edge
Look at the following expression:
the fraction one half x 4 + 6 − 3
Where should a set of parentheses go in the expression to get a value of 2?
Group of answer choices
the fraction one half x (4 + 6) − 3
the fraction one half x 4 + (6 − 3)
( the fraction one half x 4) + 6 − 3
the fraction one half x (4 + 6 − 3)
Answer:
Option AStep-by-step explanation:
Verify the answer choices for the final value of 2.
A) the fraction one half x (4 + 6) − 31/2 × (4 + 6) - 3 = 1/2 × 10 - 3 = 5 - 3 = 2, correctB) the fraction one half x 4 + (6 − 3)1/2 × 4 + (6 - 3) = 2 + 3 = 5 ≠ 2, incorrectC) ( the fraction one half x 4) + 6 − 3(1/2 × 4) + 6 - 3 = 2 + 6 - 3 = 5 ≠ 2, incorrectD) the fraction one half x (4 + 6 − 3)1/2 × (4 + 6 - 3) = 1/2 × 7 = 7/2 = 3 1/2 ≠ 2, incorrectFind the surface area of the pyramid.
Answer:
319
Step-by-step explanation:
So, to find the surface area, first we find the base area, which is: 11 x 11 = 121
Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.
So,
b = 11
h = 9
1/2 x 11 x 9 = 49.5
The, we multiply by 4, the number of sides: 49.5 x 4 = 198
Then, we add the 2, values: 121 + 198,
Which gives us: 319.
Hope this helped!
. Given the number n, write an expression for:
(a) Twice the sum of n and 5
(b) The sum of twice n and 5
© Give a numerical example that shows these are not the same expression.
Answer:
a) 2(n + 5)
b) 2n + 5
Step-by-step explanation:
Writing an algebraic expression:
a) Sum of n and 5 ⇒ n + 5
Twice sum of n and 5 ⇒ 2*(n +5) = 2*n + 2*5
= 2n + 10
b) Twice n ⇒ 2*n = n
Sum of twice n and 5 ⇒ 2n + 5
How high is a weather balloon that is tied to the ground if it is secured by a 15m long rope and the angle between the rope and the ground is 35?
If three coins are thrown what is the probcbility Obtaining at least two head?
Answer:
2 head and 1 tail form my side