Complete Question
An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
A. Find the cost of painting this open box.
B. Find the weight of the water in the filled box
Answer:
A
[tex]x = \$ 294[/tex]
B
[tex]z = 3720 \ pounds[/tex]
Step-by-step explanation:
From the question we are told that
The length is [tex]l = 6 \ ft[/tex]
The width is [tex]b = 4 \ ft[/tex]
The height is [tex]h = 2.5 \ ft[/tex]
Generally the total surface area of the open, rectangular box is mathematically represented as
[tex] T_ A = 2lb + 2lh + 2bh[/tex]
=> [tex] T_ A = 2(6 * 4) + 2(6 * 2.5) + 2(4 * 2.5)[/tex]
=> [tex] T_ A = 98 \ ft^2 [/tex]
From the question we are told that
$36.00 worth of paint covers [tex]12 ft^2[/tex]
So $x worth of paint covers [tex]98 \ ft^2[/tex]
=> [tex]x = \frac{98 * 36}{12}[/tex]
=> [tex]x = \$ 294[/tex]
Generally the volume of the open, rectangular box is mathematically represented as
[tex]V = l * b * h[/tex]
=> [tex]V = 6 * 4 * 2.5[/tex]
=> [tex]V = 60 \ ft^3 [/tex]
From the question we are told that
[tex]1 ft^3[/tex] weigh 62 pounds
[tex] 60 \ ft^3[/tex] weigh z pounds
=> [tex]z = \frac{60 * 62}{1}[/tex]
=> [tex]z = 3720 \ pounds[/tex]
Rachel found the following rate of change for the
scenario represented in this table.
What can you conclude from her work?
Check all that apply.
The scenario is represented by a linear function,
since the rate of change is constant.
The scenario is represented by a nonlinear function,
since the rate of change is constant.
The berries are picked at a constant rate of 53 per
hour.
The berries are not picked at a constant rate.
Answer:
A and C
Step-by-step explanation:
All the correct conclusion from her work are,
1) The scenario is represented by a linear function, since the rate of change is constant.
2) The berries are picked at a constant rate of 53 per hour.
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
We have to given that;
Rachel found the following rate of change for the scenario represented in this table.
Now, By the given table,
Rate of change to picked berries = (181 - 128) / (5 - 4)
= 53 / 1
= 3
Which is similar in all given values.
Hence, We can conclude that;
The scenario is represented by a linear function, since the rate of change is constant.
And, The berries are picked at a constant rate of 53 per hour.
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what is 12 to the 16 power/ 12 to the 4 power ill give brainliest
Answer:
12^16= 184884258895036400
12^4= 20736
Graph the linear equation
5x - y = 30 by following these steps:
Step 1: Find the x-intercept. Let y = 0 and solve for x.
=
Answer:
Step-by-step explanation:
5x-(0)=30
add 0 to both sides to cancel
5x=30
divide by 5 on both sides to cancel
x=6
PLEASE HELP ASAP *TIMED TEST*
What is the slope of the line represented by the equation y = 4/5x - 3?
A: -3
B: -4/5
C: 4/5
D: 3
Triangle A has side lengths 3,4 and 6. Triangle B had side lengths 6,8 and 12 triangle A and B are?
Answer:
Similar
Step-by-step explanation:
Both triangles have corresponding sides, so they are similar.
The two triangles A and B are similar to each other.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
Given that triangle, A has side lengths 3,4, and 6. Triangle B had side lengths 6,8 and 12.
The second triangle is dilated by factor 2. This means in triangle B the sides are two times the side of triangle A.
Therefore, the two triangles A and B are similar to each other.
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If the area is 26.8 sq ft, what is the value of x?
Answer:
area of rectangle =length multiplyed by breath
4x multiplied by x=26.8
4x²=26.8
x²=26.8 divided by 4
x²=6.7
x=2.59
write an equation of the parabola in intercept form that passes through (14,4) with x intercepts of 12 and -6
Answer:
i need the answer to pleasee... asnwer this question
Which angle is complementary to <3? help asap
Answer:
In a right angled triangle
Step-by-step explanation:
The two non-right angles are complementary, because in a triangle the three angles add to 180°, and 90° has already been taken by the right angle. When two angles add to 90°, we say they "Complement" each other. because the right angle is thought of as being a complete angle.
Sorry if this is wrong this is all I could do
Can somebody explain and give examples on questions like
What is divisible by this number ?
Answer:
more than one digits.
Step-by-step explanation:
There are some simple divisibility rules to check this: A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0 (the number is then called even) A number is divisible by 3 if its sum of digits is divisible by 3. A number is divisible by 4 if the number consisting of its last two digits is divisible by 4
In the last ten games, Jamal made 7
9
of his free throws and Brian made 5
8
of his free throws. Which player has the better record? Explain.
Answer:
Jamal has the the better record
Answer:
This is the sample response from Edge
Step-by-step explanation:
Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
Heeeeeeeeelp plsssssssssss
Answer:
c
Step-by-step explanation:
Answer:
There would be 500 pages.
Please help asap!! Pretty simple if you understand I guess lol
Answer:
Step-by-step explanation:
the answer is 52
Answer:
angle z = 52
Step-by-step explanation:
solve for t
t+58=2t-12
t+70=2t
70=t
plug in the value of t in t+58
(70)+58
=128
note that angle y and z make supplementary angles, so
180-128
=52
How many Significant Figures are in the number: 10.000?
Answer:
in 10.000, there are 5 significant figures.
hope this helps
Which of the following is equivalent to 6-3?
A
-1/216
B
216
C
-216
D
1/216
Answer: Im not sure if this is correct I just need points. B
Step-by-step explanation:
Option D is correct, 1/216 is the equivalent expression of 6⁻³ .
The given expression is 6⁻³.
Six to the power of minus three.
We have to find the equivalent expression.
Equivalent expression are expressions whose value is same but looks different.
6⁻³ can be written as 1/6³.
1/6×6×6
1/216.
Hence, 1/216 is the equivalent expression of 6⁻³ .
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Evaluate 3{5 + 3[10 + 4.8]}
Answer:
393
Step-by-step explanation:
if 3n-4=8 then what is the value of 5n-3
Answer:
17
Step-by-step explanation:
Given
3n - 4 = 8 ( add 4 to both sides )
3n = 12 ( divide both sides by 3 )
n = 4
Thus
5n - 3 = 5(4) - 3 = 20 - 3 = 17
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$2.75 because if you was to divide 22 by 8 you would get 2.75 , then to check your answer you would multiply 2.75 by each number by it and check the graph.
Step-by-step explanation:
True or false: geometry is an axiomatic system where the accepted principles are undefined terms 0 and 1.
A. The statement is false. Algebra is an axiomatic system where the accepted principles are undefined terms 0 and 1.
B. The statement is true.
C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.
D. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms circle, triangle, and square
Answer:
C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.
Step-by-step explanation:
The 4 basic characteristics of axiomatic systems are:
Undefined terms (or primitive terms) Axioms (or postulates) Theorems Laws of logicThe undefined terms or primitive terms of geometry are points, lines and planes that at some point meet or join together. This is called incidence, since geometry studies their relationship. E.g. 3 lines that form a triangle on a plane.
what is the value of the power a if 5^a=1/125
See attachment for math work and answer.
The restaurant bill for Annette is $55.82.
She adds an 18% tip for the waiter.
What is the total cost of Annette's meal rounded to the nearest cent?
pls answer seriously, I'm failing this class its so hard for me :(
Solve the equation using the Properties of Equality.
1/2y +1/3 = 2/3
y= ?
IF YOU KNKW WHAT THE ANSWER IS PLEASE HELP ME
Answer:
exponential
Step-by-step explanation:
This function can be expressed as 125*3^x, where x is the number of hours passed.
Since linear equations are expressed as mx+b, quadratics are expressed as ax^2+bx+c, and exponential functions are expressed as ab^x, only the exponential function would be a valid answer.
11x - 8 = 4x - 3
solve for x
Answer:
7×=5 ×=5/7
Step-by-step explanation:
Find y into the nearest hundredth place
Answer:
12.43ft
Step-by-step explanation:
From the given diagram, we simply apply the sin rule
According to the sine rule
=
y is the side y
y° = (90 - 43) = 47
z = 17
z° = 90
Input the parameters and solve;
[tex]\frac{y}{sin 47} = \frac{17}{sin 90}[/tex]
ysin 90 = 17 sin 47
y = 12.43ft
A local city collects
7% sales tax. If the
total purchase was
$321.00, then how
much was collected for
sales tax?
A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a depth that is LaTeX: 3\frac{1}{4}3 1 4feet below where it was at 1: 00 p.M. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.M.?
Answer:
[tex]\frac{23}{4}[/tex] feet
Step-by-step explanation:
The depth of the fish to the surface of water at 1:00 pm = 2 [tex]\frac{1}{2}[/tex] feet
= [tex]\frac{5}{2}[/tex] feet
The depth of the fish to its initial position at 4:00 pm = 3 [tex]\frac{1}{4}[/tex] feet
= [tex]\frac{13}{4}[/tex] feet
The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm
= [tex]\frac{5}{2}[/tex] + [tex]\frac{13}{4}[/tex]
= [tex]\frac{10 + 13}{4}[/tex]
= [tex]\frac{23}{4}[/tex]
The position of the fish with respect to the water's surface at 4:00 pm is [tex]\frac{23}{4}[/tex] feet.
Paid the rent for the month,$650
Answer:
whats the question here
Step-by-step explanation:650 rent
Mr. Leto plans to save money to buy a carpet. If he saves $50 each week for 30 weeks, he will have saved the exact amount of money needed to buy the carpet. If Mr. Leto instead saves $75 each week, how many weeks will it take him to save the same amount of money?
Answer:
Number of new weeks = 20 week
Step-by-step explanation:
Total money saves = $50 x 30
Total money saves = $1,500
Find:
Number of new week
Computation:
Total money saves = Number of money save per week x Number of new weeks
1,500 = 75 x Number of new weeks
Number of new weeks = 20 week
find the distance for AB for A (3,5) and B(6,1)
Help!!
Answer:
5 is the answer to the question