The height and width of the box shipped is 15 and 8 inches respectively.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, The width of the box is seven inches less than the height.
Assuming the width to be 'w' hence the height(h) = w + 7 and has a length of 24 inches with a volume of 2880 cubic inches.
We know the volume(V) of a cuboid is l×w×h.
Therefore,
24×w×(w + 7) = 2880.
24w(w + 7) = 2880.
24w² + 168w = 2880.
6w² + 42w = 720.
w² + 7w = 120.
w² + 7w - 120 = 0.
w² + 15w - 8w - 120 = 0.
w(w + 15) - 8(w + 15) = 0.
(w + 15)(w - 8) = 0.
w = 8 and hence h = 8 = 7 = 15.
So, the width and height of the box is 8 and 15 inches respectively.
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A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is the maximum area of the dog pen?
Answer:
450 m²
Step-by-step explanation:
Let x = length of rectangle and y = width of the rectangle.
Therefore,
2x + y = 60...............(1)
Making y subject of the formula, we have:
y = 60 - 2x............... (2)
We know area of a rectangle is length * width i.e A = x*y
Let's substitute (60-2x) for y,
A = x * (60-2x)
= 60x - 2(x)²
= -2x² + 60x
[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]
-4x + 60 = 0
-4x = -60
[tex] x = \frac{-60}{-4} = 15 [/tex]
Let's substitute 15 for x in equation 2, we have:
y = 60 - 2(15)
= 60 - 30
y = 30
Since x = 15 & y = 30, the area would be:
A = xy
A = 15 * 30
A = 450 m²
The maximum area of the dog pen is 450m²
Which function has the same range as f(x)=-2√x-3+8?
Answer:
[tex]g(x)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
got it right
g(x) = - √x + 3 +8 has the same range.
What is the range of a function simple?The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.
What is range in a relation?The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.
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Carlos keeps track of his math scores of tests. His scores on his math tests are
the following: 100, 88, 50, 50, 90, 70, 80 What is the:
Median?
Mode?
Mean?
Range?
Answer:
Median: 75
Mode: 50
Mean: ≈ 75.4
Range: 50
Step-by-step explanation:
Median:Arrange the numbers in order:
50, 50, 70, 80, 88, 90, 100
There is no exact middle number.
[tex]70 + 80 = 150\\150/2 = 75[/tex]
The median is about 75.
Mode:50, 50, 70, 80, 88, 90, 100
"50" appears the most.
The mode is 50.
Mean:Add all numbers in the set.
[tex]100+88+50+50+90+70+80 = 528[/tex]
Divide by the number of values in the set.
[tex]528/7 = 75.4285714286[/tex]
75.4285714286 ≈ 75.4
The mean is about 75.4.
Range:Subtract the smallest number in the data set from the largest number in the data set.
[tex]100-50=50[/tex]
The range is 50.
Brainilest appreciated.
What was the percentage decrease in the number of accidents between 1950 and 1976?
Answer:
the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)
3) Factor x2 – 8x – 9.
Check
Answer:
(x-9)(x+1)
Step-by-step explanation:
factor using the box method or quadratic formula.
Answer:
(x - 9)(x + 1)
Step-by-step explanation:
Given
x² - 8x - 9
Consider the factors of the constant term (- 9) which sum to give the coefficient of the x- term (- 8)
The factors are - 9 and + 1, since
- 9 × 1 = - 9 and - 9 + 1 = - 8, thus
x² - 8x - 9 = (x - 9)(x + 1)
About how many times greater is the volume of the cylinder than the volume of the cone?
Your answer is 3 times larger.
The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.
We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h
I hope this helps!
An emergency plumber charges $65 as a call-out fee plus an additional $75 per hour. He arrives at a house at 9:30 am and works to repair a water tank. If the total repair bill is $195.25 at what time was the repair completed?
Answer:
Around 11:15 am
Step-by-step explanation:
Let h represents the number of hours the plumber works
Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:
→ bill = 65 + 75h
Since the bill is $195.25
→ 195.25 = 65 + 75h
→ 75h = 130.25
→ h = 1.74
1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.
The figure below is an isosceles triangle. What is the perimeter of the triangle in terms of a
and c?
Hey there! I'm happy to help!
-------------------------------------------------------------------
WHAT IS THE PERIMETER?
The perimeter is just the distance around a shape. If you put a fence around a field, the length of all of the fencing is the perimeter.
-------------------------------------------------------------------
WHAT IS AN ISOSCELES TRIANGLE?
An isosceles triangle is a triangle that has at least two sides that have the same length! In our triangle, we have two sides that have the value of a, so that makes it isosceles!
-------------------------------------------------------------------
THE SOLUTION
In our problem, we want to find the perimeter of this triangle in terms of a and c. When we say in terms of, it just means that our answer will include a and c instead of finding a number value.
The perimeter is the sum of each of these sides. This means that the perimeter is a+a+c, which is also 2a+c.
Therefore, the perimeter of this isosceles triangle is 2a+c.
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I hope that this helps! Have a wonderful day! :D
What is the solution to the equation 3(2x + 5) = 3x + 4x?
a
X= 15
b.
X= 5
X=0
dx = 4
Answer: A
Step-by-step explanation:
Distribute the 3(2x+5) which gives you 6x+15. Than add 3x+4x which gives you 7x. Subtract the 6x giving you 15=x or 15=1x, divide the one to get the x alone and you get A.
Picture attachment below
Answer:
$4.50 for 9 cans
Step-by-step explanation:
five whole numbers are written in order (4, 6, x, y, 10). The mean and median of the five numbers are the same. Work out the values of x and y.
Answer:
x = 7
y = 8
Step-by-step explanation:
Knowing that the mean is equal to the median, we can formulate the following equation:
⅕(4 + 6 + x + y + 10) = x
Simplifying it, we get:
y = 4x - 20
Now, we know that both x and y are between 6 and 10 and that y is greater than x;
Mathematically, we have the conditions:
6 =< x =< 10
6 =< y =< 10
y > x
If we apply the second condition, i.e. the restrictions on the y-values, we find that x has to be between 6.5 and 7.5, i.e. 6.5 =< x =< 7.5;
This means x has to 7 since it can only be a whole number and this is the only whole number between 6.5 and 7.5;
Once we know this, we can find y simply by subbing it into the equation formulated previously:
y = 4(7) - 20
y = 8
A sphere has a radius of 5 inches. What is its volume?
Sphere V=
WIT
4
72
3
1. Substitute the radius into the formula:
V=4(5)
V = (125)
2. Evaluate the power,
3. Simplify:
V=
it in, 3
Answer:
500/3
Step-by-step explanation:
just did it on edg!
the rational number of 2 x -7/4
Find the equation of the line shown.
HELP PLEASEEE
Answer:
y = x+6
Step-by-step explanation:
The y intercept is 6 ( where it crosses the y axis)
We need to find the slope
For each y unit it goes up, it goes to the right 1 x unit
m = 1/1 = 1
We can use the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
y = 1x+6
y = x+6
What is the equation of 4over 3 equal Y
Answer:
3y = 4 or 3y - 4 =0
Step-by-step explanation:
[tex] \frac{4}{3} = y \\ 4 = 3y \\ 3y - 4 = 0 \\ [/tex]
What is the value of the expression (2 Superscript 4 Baseline) squared?
Answer:
{(2^4) }^2
=16^2
= 256
................
Answer:
256
Step-by-step explanation:
The radius of a circle is 5 m. Find its area in terms of .
Answer:
78.5 m²
Step-by-step explanation:
Area formula: πr²
Plug it in: (3.14)(5m)²
Answer: 78.5 m²
A circle has a diameter that measures
8 inches. What is the area of the circle to the nearest tenth? Use 3.14 for pi.
Answer:
50.24inches
Step-by-step explanation:
Your diameter is 8 inches so divide that by two to get a radius of 4 multiply 4 by itself and multiply that (16) by pi.(it gives you 50.24)
Which is a solution to (x − 2)(x + 10) = 13?
Answer:
3
Step-by-step explanation:
3-2=1
3+10=13
1x13=13
In this equation what is the
Answer:
multiplication i think? correct me if im wrong:)
Step-by-step explanation:
bye.
The answer is [ C. Multiply ]
The inverse operation of division is multiplication and vice versa.
The inverse operation of subtraction is addition and vice versa.
Solve for x.
x/6.8 = 5
~Multiply 6.8 to both sides
x/6.8 * 6.8 = 5 * 6.8
~Simplify
x = 34
Best of Luck!
if i fail a class for one semester will i fail6th grade
Answer:
yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much
Step-by-step explanation:
Zech deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. What was the amount in the account at the end of 10 years? Round to the nearest dollar.
Answer:
$6769
Step-by-step explanation:
To calculate the amount, we make use of the compound interest formula
A = P(1+r/n)^nt
where A is the amount which we are to calculate
P is the amount deposited which is $5,600
r is the rate which is 1.9% or 1.9/100 = 0.019
t is the number of years = 10
n is the number of times the interest is compounded per year which is 4(quarterly means every 3 months and there are 4 quarters in a year)
Plugging all these values, we have
A = 5,600(1+ 0.019/4)^40
A = 5,600( 1 + 0.00475)^40
A = 5,600(1.00475)^40
A = $6768.75
Which is $6769 to the nearest dollars
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
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Answer:
D.
$2,071.20
Step-by-step explanation:
The slope of a line is 2. The y-intercept of the line is -6 Which statements accurately describe how to graph the function?
Locate the ordered pair (0-6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Draw a line through the two points.
Locate the ordered pair (0-6). From that point on the graph, move up 2left 1 to locate the next ordered pair on the line
Draw a line through the two points.
Locate the ordered pair (-60). From that point on the graph, move up 2, right 2 to locate the next ordered pair on the line.
Draw a line through the nivo points.
Locate the ordered pair (-60). From that point on the graph, move up 2. left 1 to locate the next ordered pair on the line.
Draw a line through the two points,
Mark this and retum
Save and Exit
Subemt
Answer: A
Step-by-step explanation:
We know the y intercept is -6 so the first point will be (0,-6) and we also know that the slope is 2/1 so after plotting (0.-6) you will have to go up by two and 1 unit to the right.
Answer:
The answer is A!
Step-by-step explanation:
I just did it and it is right! Have an absolutaly amazing day! :) :) :) :)
Hi so i am writing a movie but i need ideas
.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?
Answer:
330 000 m²
Step-by-step explanation:
1. Area of farm
[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]
2. Area for wheat
[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]
3.Area for olive trees
[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]
4. Area for sunflowers
Total area = 1 000 000 m²
- Area for wheat = 280 000 m²
- Area for olive trees = 390 000
670 000
Area for sunflowers = 330 000 m²
Sunflowers occupy 330 000 m².
type an equation for the line shown in the graph
Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?
35 inches
47 inches
50 inches
43 inches
will mark brainliest
Answer:
43, it raises by 4 each time. good luck!
Step-by-step explanation:
What is the value of the expression below ? 2[32-(4-1)]
There is a 3 in between the ) 3 ] but it looks like square / cubes something
The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.
SimplificationSimplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.
How to simplify an algebraic expression?Apply the BODMAS rule to simplify the algebraic expression.
Given that the expression is [tex]2[32-(4-1)][/tex]
First, simplify the bracket [tex](4-1)[/tex]
Then, [tex]2[32-(4-1)]=2[32-3][/tex]
Simplify the bracket [tex][32-3][/tex]
Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]
Multiply the numbers [tex]2[/tex] and [tex]29[/tex]
[tex]2[/tex] × [tex]29=58[/tex]
Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].
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you are mountain climbing with a friend. you need to reach a ledge that is 22 feet above you
Answer:
x+22
Step-by-step explanation:
you don't know what elevation you are on and you need to go up 22 feet more to the ledge above you.
