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]
Choose the correct method to factorize the following *
5hs-10hr-2ks+kr
a-Taking HCF common
b-Mid-term break
c-Algebraic Identities
d-Grouping
Answer:
Algebraic identities
Step-by-step explanation:
Here, we want to choose the correct method to factorize the given expression
That will be;
Algebraic identities
This is because, the terms which have an algebraic term in common have already been grouped and thus what we have to apply next is algebraic identities
Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth points. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.
Full question attached
Answer and explanation:
Since x = number of true or false questions correct
And y = number of multiple choice questions correct
And each question for x =2 points
each question for y=3 points
since she then needs a total score of more than 93 to pass, we add up total correct questions and
Inequality equation = 2x +3y >93
and Slope
Which point-slope equation represents a line that passes through (3,-2) with a slope of - 4?
5
Oy-3=-=(x + 2)
Oy-2 = (x-3)
Oy+2=-(-3)
Oy+3 = (x + 2)
Answer: y+2=-4/5(x-3)
Step-by-step explanation:
The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is a slope of a line and a point passing by it, we need to find the equation of the line,
So, the general equation of the line is :-
y = mx + c
where, m is the slope, and the c is the y-intercept.
Put the value of the slope given, in the equation,
y = -4x+c
Now, for find the value of c, just put the values of the x and y from the point in the equation,
-2 = -4(3) + c
c = -2+12
c = 10
Now, we get the value of the c,
So, the equation is y = -4x+10
Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10
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Write the equation of a line which passes through points (4,2) and (0, -2).
Answer:
y=x-2
Step-by-step explanation:
if you were to plot it onto a graph, the y intercept would be -2
hello… please help What is a parabola in mathematics?
Find the perimeter of $\triangle CDE$ . Round your answer to the nearest hundredth. A trapezoid A B C D is plotted on a coordinate plane. A D represents the longer base and B C represents the shorter base. Vertex A lies at ordered pair negative 5 comma 4. Vertex B lies at ordered pair 0 comma 3. Vertex C lies at ordered pair 4 comma negative 1. Vertex D lies at ordered pair 4 comma negative 5. A line is drawn from vertex B and intersects line A D at point F plotted at ordered pair negative 2 comma 1. A line is drawn from vertex C and intersects the line A D at point E plotted at ordered pair 2 comma negative 3. The perimeter is about units.
Answer:
The answer is below
Step-by-step explanation:
We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:
Perimeter of tiangle CDE = |CD| + |DE| + |CE|
Given that C(4, -1), D(4, -5), E(2, -3).
The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is given as:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore the lengths of the triangle are:
[tex]|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units[/tex]
Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units
What is an equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 ?
4x+2y+10 = 0 can be rewritten as 2y = -4x-10 and dividing by 2 yields the slope/intercept form of y = mx+b
y = -2x-5
where -2 is the slope (m) and -5 the y-intercept (b)
the line we seek has that same slope, will pass through (7,3), but will have a different y-intercept. Plugging in 7 and 3 for x and y gives us
3 = -2(7)+b => 3 = -14+b => 17 = b making our new line’s equation:
y = -2x+17
An equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 is y = -2x+17.
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
We know that 4x+2y+10 = 0 can be rewritten as 2y = -4x-10
Thus, dividing by 2 yields the slope/intercept form of y = mx+b
y = -2x-5
where, -2 is the slope (m) and -5 the y-intercept (b)
Now the line we has that same slope, will pass through (7,3), but will have a different y-intercept.
Then Plugging in 7 and 3 for x and y gives us;
3 = -2(7)+b
3 = -14+b
17 = b
Therefore, our new line’s equation:
y = -2x+17
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solve the equation x²+11=36
Answer:
x=5
Step-by-step explanation:
Equation:
x^2 + 11=36
1.Subtract 11 on both sides
x^2 = 25
2. Square root 25
x=5
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[tex](9x + 17) + (3x + 7) = 180[/tex]
[tex]12x + 24 = 180[/tex]
Subtract sides 24
[tex]12x + 24 - 24 = 180 - 24[/tex]
[tex]12x = 156[/tex]
Divide sides by 12
[tex] \frac{12}{12} x = \frac{156}{12} \\ [/tex]
[tex]x = 13[/tex]
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Factor 3y3 – 9y2
The factored polynomial is
Answer:
Factor 3y23y2 out of 3y33y3.
3y2(y)−9y23y2(y)-9y2
Factor 3y23y2 out of −9y2-9y2.
3y2(y)+3y2(−3)3y2(y)+3y2(-3)
Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).
3y2(y−3)
Step-by-step explanation:
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Melanie connected a brown garden hose, a green garden hose, and a black garden hose to make one long hose. The brown hose is 10.75 feet long, the green hose is 16.4 feet long, and the black hose is 8.5 feet long. What is the farthest distance the one long hose can reach? 18.65 ft 24.65 ft 34.84 ft 35.65 ft
Answer:
35.65 feet
Step-by-step explanation:
Melanie connected a brown garden hose , a green garden hose and a black garden hose to make one long hose
The brown hose is 10.75 feet
The green hose is 16.4 feet
The black hose is 8.5 feet
Therefore the farthest distance that the one hose can reach can be calculated as follows
= 10.75 + 16.4 + 8.5
= 35.65 feet
Hence the farthest distance that one hose can reach is 35.65 feet
Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?
Answer:
$12.84
Step-by-step explanation:
Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.
Then multiply 0.12 by 107 to get the price + tax.
You'll end up with 12.84.
Then just add your units to get $12.84.
what Else would need to be congruent to show
Answer:
A
Step-by-step explanation:
Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minutesYellow line6 minutes All three trains just arrived at the station. When will they next all arrive at the station at the same time? They will all arrive at the station in minutes.
Answer:
60 minutes
Step-by-step explanation:
Given the schedule above :
Red line arrives every 4 minutes
Blue line arrives every 5 minutes
Yellow line arrives every 6 minutes
All three just arrives at the train station ; when next will they all arrive at the train station at the same time.
Obtain the lowest common multiple of each arrov time :
Lowest common multiple of 4, 5, 6
_2___4___5___6
_2___2___5___3
_3___1___ 5 __ 3
_5___1___ 5 __ 1
_____1 ___1 ___1
Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60
Hemce, they all arrive at the train station at the same time after 60 minutes
how do I factor polynomials
Solve x-6y = 13 for y.
Answer:
y = 1/6x -13/6
Step-by-step explanation:
x-6y = 13
Subtract x from each side
x-x-6y =-x+ 13
-6y = -x+13
Divide each side by -6
-6y/-6 = -x/-6 + 13/-6
y = 1/6x -13/6
What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar
Answer:
2.1 * 10 ^3
Step-by-step explanation:
5.67 * 10 ^7 ÷2.7 x 10^4
Divide the numbers
5.67 / 2.7 =2.1
Divide the exponents
10^7 / 10 ^4
Remember when dividing power, we subtract the exponents
10 ^(7-4) = 10^3
Put this back together
2.1 * 10 ^3
Verify that this is in scientific notation
Since this is in scientific notation, we are done
Answer:
2.1x10 to the power of three
Step-by-step explanation:
\frac{5.67\times 10^7}{2.7\times 10^4}
2.7×10
4
5.67×10
7
Divide them.
\frac{5.67}{2.7}\times \frac{10^7}{10^4}
2.7
5.67
×
10
4
10
7
Divide numbers and 10's separeately.
2.1\times 10^3
2.1×10
3
Subtract exponents.
a) name the transversal connecting 1 and 5
b) name the transversal connecting 7 and 14
c) name the transversal connecting 8 and 11
d) name the transversal connecting 7 and 15
e) name the transversal connecting 3 and 9
Answer:
a) Name the transversal connecting 1 and 5. Line r b) Name the transversal connecting 7 and 14. Line q c) Name the transversal connecting 8 and 11. Line s d) Name the transversal connecting 6 and 15. Line q e) Name the transversal connecting 3 and 9. Line p
Step-by-step explanation:
The angles pairs and the transversal connecting them are:
a. <1 and <5: transversal r.
b. <7 and <14: transversal q
c. <8 and <11: transversal s
<6 and <15: transversal q.
<3 and <9: transversal p.
Note the following about what a transversal is:
A transversal is a line that intercepts or cut-across two straight lines.A transversal will connect two angles that lie in two other straight lines the transversal intercepts.The two angles connected by a transversal can lie on opposite sides of a transversal or on same side along the transversal.Let's determine the transversal connecting the following given angles:
<1 and <5, is connected by transversal r.<7 and <14 is connected by transversal q<8 and <11 is connected by transversal s<6 and <15 is connected by transversal q<3 and <9 is connected by transversal pTherefore, the answers are:
a. <1 and <5: transversal r.
b. <7 and <14: transversal q
c. <8 and <11: transversal s
<6 and <15: transversal q.
<3 and <9: transversal p.
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write the fraction 18/24 in its simplest form
Answer:
3/4
Step-by-step explanation:
Divide the numerator and the denominator by the greatest common factor of 18 and 24, 6.
[tex] \frac{18}{24} [/tex]
[tex] \frac{18 \div 6}{24 \div 6} [/tex]
[tex] \frac{3}{4} [/tex]
The United States Census collects data on many variables about individuals and households.
Which variables are quantitative?
Select all that apply.
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18.
Number of minors in the household
Family role of respondent
Number of family members residing at the address
Ethnicity
Zip code
Answer:
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18
Number of minors in the household
Number of family members residing at the address
Zip code
Step-by-step explanation:
Given the following :
Select the variables which are quantitative :
Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.
Years living in the U.S. = quantitative
How many adults are registered to vote in the upcoming election? = quantitative
Number of adults over 18. = quantitative
Number of minors in the household = quantitative
Family role of respondent = not quantitative
Number of family members residing at the address = quantitative
Ethnicity = Not quantitative
Zip code = quantitative
What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?
Answer: 13% increase?
Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?
Answer:
1.13
Step-by-step explanation:
A 6% decrease would be 0.94 and a 19% increase after that would be 1.13
A cargo plane weighed 400,000 pounds. A load of cargo was removed, and the plane weighed 348,963 pounds. Then, 15,358 more pounds of cargo were removed. How many total pounds of cargo were removed from the plane?
Answer:
364,321
384963+15358=364321
Find the distance between the points
(9,-7) and
(5,-4).
25
5
V137
V7
Answer:
5Step-by-step explanation:
5 is the 100% correct answer.....Hopes to get BRAINLIEST.....Thank you ☺️☺️
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment AC over segment A double prime C double prime = 2 segment A double prime C double prime over segment AC = one half segment AC = segment A double prime C double prime over 2
Answer:
segment AC is equal to A''B'' over 2
Step-by-step explanation:
Given that,
Scale factor = 2
The coordinates of A is (-3,3)
The coordinates of B is (1,-3)
The coordinates of C is (-3,3)
We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.
So.
[tex]\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}[/tex]
It means, segment AC is equal to A''B'' over 2 is the correct answer.
Which graph represents an exponential growth function? On a coordinate plane, a line rapidly decreases and then levels off. On a coordinate plane, a line increases gradually. On a coordinate plane, a line decreases gradually. On a coordinate plane, a line is level and then curves upwards rapidly.
The answer is On a coordinate plane, a line is lever and then curves upwards rapidly (D).
The graph that represents an exponential growth function is (d) on a coordinate plane, a line is level and then curves upwards rapidly.
What are exponential functions?Exponential functions are functions that are defined as [tex]y = ab^x[/tex]
Where:
b represents the ratea represents the initial valueAssume that a has positive value, and the b is greater than 1.
Then it means that, the function is an exponential growth function.
An exponential growth function that has a positive initial value will start with a level line, then curve up
Hence, the graph that represents an exponential growth function is (d)
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Un robot en Marte tiene los siguientes desplazamientos antes de lograr encontrar el lugar con las coordenadas indicadas para empezar a analizar . Su desplazamiento es de: 25 m al Sur, 35 m a 15° partiendo del Este hacia el Norte y por último 20 m a 37° partiendo del Oeste hacia el Norte. Encuentra el desplazamiento de su recorrido
Answer:
El desplazamiento total del robot es de aproximadamente 17.4 m 12.35° al sur del este
Step-by-step explanation:
El movimiento del robot en Marte se da como sigue;
1) El desplazamiento sur = 25 m
2) El desplazamiento 15 ° al norte del este = 35 m
3) El desplazamiento 37 ° al norte del oeste = 20 m
Por lo tanto, tenemos la moción en forma vectorial;
1) -25[tex]\hat j[/tex]
2) 35·cos(15°)[tex]\hat i[/tex] + 35·sin(15°)[tex]\hat j[/tex]
3) -20·cos(37)[tex]\hat i[/tex] + 20·sin(37°)[tex]\hat j[/tex]
Por lo tanto, tenemos el desplazamiento resultante total, R, del robot está dado por la suma de los vectores como sigue;
R = (35·cos(15°) - 20·cos(37)) [tex]\hat i[/tex] + (35·sin(15°) + 20·sin(37°) - 25)[tex]\hat j[/tex]
R = 17.8346937192 [tex]\hat i[/tex] - 3.9050329583 [tex]\hat j[/tex]
La magnitud de R = √ ((17.8346937192) ² + (-3.9050329583) ²) ≈ 17.4 m
La magnitud de R ≈ 17,4 m
La dirección de R = Arctan ((- 3.9050329583) / (17.8346937192)) ≈ -12.35 °
La dirección de R ≈ -12,35 °
La dirección es aproximadamente 12,35 ° al sur del este
El desplazamiento total del robot es de aproximadamente 17.4 m 12.35 ° al sur del este
Maritza found a bike at the mall for $85.00. The sales
tax is 6%. After taxes, how much will she have to pay for
the bike?
-2(x -3) what number should be distributed
Answer:
-2
Step-by-step explanation:
-2 needs to be distributed to the rest of the equation so that gives you -2x+6
the meal cost 54.65 the sales tax is 8% of the meal the tip was 18% of the meal and tax there are 5 people in the holcombe family what was the cost per person for the meal
Answer:
Step-by-step explanation:
total meal cost = meal cost + tax cost + tip cost
[tex]\frac{8}{100} *54.65 = cost of sales tax\\\frac{18}{100} * 54.65 = tip cost\\cost of sales tax = .08 * 54.65 = 4.372\\tip cost = .18 * 54.65 = 9.837\\\\total cost = 54.65 + 4.372 + 9.837 = 68.859\\\\since we have 5 members\\\\individual cost = total cost / 5\\=68.859/5\\=13.7718[/tex]
The answer is 10.93
Step by step explanation
RiDdLE oF ThE DaY: PaRt 2- Mr.White had been missing and the only evidence he left behind was a paper that said "The first of July, the fourth of January, the first of December and the eighth of February" the police questioned the people that were in the house at that time. Judy said she was at her parents house, Logan was Mr.Whites secretary said he was working on a report for his boss and haven't left his room and Rose, Mr. Whites daughter said she was having guest and never left the living room. Can you crack the case?
Answer:
Step-by-step explanation:
1st of July: J
4th of January: U
1st of December: D
8th of February: Y
Answer: JUDY!
Answer:
Child this has to be one the most hard riddles I ever did
Step-by-step explanation: