There are 157 newly built homes in a subdivision 68 gallons of paint and 13 paint brushes were used for each house about how many gallons of paint we use for the new homes
Answers
About 10,676 gallons of paint were used to paint the 157 newly built homes in the subdivision, assuming each house required exactly 68 gallons of paint and 13 paint brushes.
How to solve this statement problem?The statement problem states that there are 157 newly built homes in a subdivision, and that 68 gallons of paint and 13 paint brushes were used for each house. This means that each house required 68 gallons of paint and 13 paint brushes.
To find the total amount of paint used for all 157 houses, we need to multiply the amount of paint used per house (68 gallons) by the number of houses (157):
Total amount of paint = 68 gallons/house x 157 houses
Total amount of paint = 10,676 gallons
Therefore, approximately 10,676 gallons of paint were used for the 157 newly built homes in the subdivision.
It's worth noting that this calculation assumes that each house required exactly 68 gallons of paint and 13 paint brushes. In reality, there may be some variation in the amount of paint and brushes used for each house, so the actual total may be slightly different.
However, this calculation provides a reasonable estimate of the total amount of paint used
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Related Questions
Jace observes a marble travel along a horizontal path at a constant rate. The marble travels 2/3 of the length of the path in 20 seconds. At that rate, how many seconds does it take the object to travel the full length? First, reason down from 2/3 to 1/3 Enter all values as fractions (proper or improper) or whole numbers. You will need to convert mixed numbers to improper fractions.
Answers
On solving the provided question, we can say that here, the fraction will be from 2/3 to 1/3 => 2/5, 2/7. 2/9, 1/9, 1/8, 1/7, 1/6. 1/5
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
here, the fraction will be from 2/3 to 1/3
2/5, 2/7. 2/9, 1/9, 1/8, 1/7, 1/6. 1/5
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A right triangle is shown. The length of the hypotenuse is 4 centimeters and the lengths of the other 2 sides are congruent.
The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle?
2 cm
2 StartRoot 2 EndRoot cm
4 cm
4 StartRoot 2 EndRoot cm
Answers
Answer:
The length of one leg of this right triangle is 4/√2 = 2√2 cm.
If a = 3, then 5a = 15. If a = 11⁄2, then a
3.
Answers
The value of the expression a^3 is 3 3/8
How to evaluate the expression?The given parameters can be represented as
If a = 3, then 5a = 15.
Also, we have the value of the variable a to be
a = 1 1/2
Express the value of the variable a as an improper fraction
So, we have
a = 3/2
When a = 1 1/2 or a = 3/2, the value of a³ is calculated using the following formula
a³ = (1 1/2)³ = (3/2)³
Rewrite the formula as
a³ = (3/2)³
Evaluate the exponent in the above equation
So, we have
a³ = (27/8)³
Evaluate the quotient in the above equation
So, we have
a³ = 3 3/8
Hence, the value of the expression a³ is 3 3/8
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A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is 73' 30' 40"
Answers
Complete question is;
A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?
Answer:
θ = 70.5°
Step-by-step explanation:
The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.
I've attached a diagram showing the triangle made by this ladder and the wall.
From the attached diagram, we can see the triangle formed by the ladder and the wall.
We can find the angle of elevation θ from trigonometric ratios.
Thus;
7/21 = cos θ
cos θ = 0.3333
θ = cos^(-1) 0.3333
θ = 70.5°
Complete the square
x^2 - 2x - 14 = 0
Answers
To complete the square for the equation x^2 - 2x - 14 = 0, follow these steps:
1. Move the constant term to the right side of the equation: x^2 - 2x = 14
2. Take half of the coefficient of x, square it, and add it to both sides of the equation: x^2 - 2x + 1 = 15
3. Factor the left side of the equation as a perfect square: (x - 1)^2 = 15
4. Take the square root of both sides of the equation, remembering to include both the positive and negative square roots: x - 1 = ±√15
5. Add 1 to both sides of the equation to isolate x: x = 1 ± √15
Therefore, the solutions to the equation x^2 - 2x - 14 = 0 are x = 1 + √15 and x = 1 - √15.
A triangle has two sides that are 8 inches and 16 inches long. Circle each value that could be the length of the third side.36 inches3 inches25 inches14 inches16 inches23 inches
Answers
Answer:
13, 16 and 24
Step-by-step explanation:
Hey There!
So this most important thing to remember is that the sum of the smaller sides of the triangle has to be greater than the length of the hypotenuse
8+16=24 so the answer cannot be 24 or greater
therefore the answer is 23, 16 and 14
but not 3 because
3+8 is not greater than 16
Simplify.
–7 – 3x + 5 – 6x
Answers
Answer:
-9x-2
Step-by-step explanation:
-7-3x+5-6x
=(-3x-6x) + (-7+5)
=(-9x)+(-2)
= -9x - 2
First, use the associative property of addition to reorder the terms in parentheses. Then, combine like terms and you will get your simplified answer of -9x - 2. Hope this helps!
HELP ME On the planet vreel, there are 8 alabers to ever 5 totts. if farmer joogh has 30 totts on his gepsil farm, how many alabers are on the farm? your answer may be exact or accurate to the nearest tenth
Answers
Answer:
48
Step-by-step explanation:
\(\frac{8}{5}\) = \(\frac{x}{30}\)
In the ratio there are 5 totts. The farmer has 30 totts.
5 x 6 = 30, so 8 x 6 = 48
Answer:
Step-by-step explanation: i pretty sure it 240 because there is 8 on every 5 so 8x5 and there is 8 on every 30 8x30=240
how many ways are there to put 4 balls in 3 boxes if the balls are not distinguishable and neither are the boxes? (a box can be left empty.)
Answers
There are 15 ways to put 4 indistinguishable balls in 3 indistinguishable boxes.
Since the balls and boxes are indistinguishable, we only need to count the number of ways to distribute the 4 balls among the 3 boxes.
We can use the concept of stars and bars. The number of ways to distribute n indistinguishable items into r distinguishable boxes is given by (n+r-1) choose (r-1).
Here, the number of ways to distribute 4 indistinguishable balls into 3 distinguishable boxes is (4+3-1) choose (3-1) = 6 choose 2 = 15
So, there are 15 ways to put 4 indistinguishable balls in 3 indistinguishable boxes.
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Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket. He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game
Answers
The regular price of a ticket to the game was $204.00.
We can use algebra to solve the problem. Let x be the regular price of a ticket to the game.
We know that the group rate saved Mason $5.75 per ticket, so the regular price of a ticket is x + $5.75.
We know that Mason bought 16 tickets and paid a total of $296.00, so we can set up the following equation:
x + $5.75 = (x + $5.75) * 16 = 16x + $92
So the regular price of a ticket is x = $296.00 - $92 = $204.00
Therefore, the regular price of a ticket to the game was $204.00.
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Round 822,119 to the nearest ten thousand.
Answers
Answer:
820,000
Step-by-step explanation:
The nearest ten thousand of 822,119 is 820,000
How to round off to the nearest ten thousand?
To round a number to the nearest 10,000, check the thousands digit to decide whether to round up or round down. If the thousands are 5000 or more, round up. If they are 4999 or less, round down
Given data ,
Let the number be x = 822,119
Rounding the number to the nearest ten thousand = 822,119 - 2119
= 820,000
Hence , the nearest ten thousand of 822,119 is 820,000
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PLEASE I NEED HELP ITS DUE IN AN HOUR!!!!
Answers
Which function shows a fabric with a price of $1.25 per square yard?
Answers
Answer:
D
Step-by-step explanation:
For each the following series, state whether it converges or diverges. Briefly explain your answer using only what we have learned through the second week of class (i.e. sections 5.2 and 5.3 in the textbook). (a) ∑n=1[infinity]n+100n (b) ∑n=1[infinity](−1)n2n (c) ∑n=1[infinity](21)n (d) ∑n=1[infinity]n(n+1)100
Answers
According to the statement the series (a) and (d) converges while the series (b) and (c) diverges.
(a) Converges: We can see that the series is similar to the p-series with p = 2 which converges. Hence, by the limit comparison test, the series also converges.(b) Converges: This series is similar to the alternating harmonic series which converges.
Hence, by the alternating series test, this series also converges.(c) Diverges: We can see that the series is a geometric series with ratio r = 2/1 > 1. Hence, the series diverges.(d) Converges: The series is similar to the p-series with p = 2 which converges.
Hence, by the limit comparison test, the series also converges.Therefore, the series (a) and (d) converges while the series (b) and (c) diverges.
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Write four different equations that have –3 as the solution.
Answers
2 + -5
3 + -6
4 + -7
6 + -9
7 + -10
8 + -11
A piano instructor charges students a one-time fee for sheet music and an hourly rate for lessons. The graph below shows the total cost for a student who has taken x lessons.
Answers
Two points passing through the line are (2, 80) and (4, 140)
Let the one time fee = $b
Hourly charges for the lessons = $x
Equation of the line will be,
y = mx + b
Slope of the line 'm' =
m =
m =
m = 30
y = 30x + b
For point (2, 80),
80 = 30(2) + b
b = 80 - 60
b = 20
Therefore, one time fee charged by the instructor = $20
Since instructor put a coupon to waive off the one time fee, value of the coupon will be = $20
Find the area of the shaded segment of the circle
Answers
Answer:
7.1 m²
Step-by-step explanation:
The area of the shaded segment can be calculated by subtracting the area of the triangle from the area of the sector.
Angles around a point sum to 360°. Therefore, as the major arc of the given circle is 270°, the minor arc is 90°, since 360° - 270° = 90°.
In a circle, the measure of an arc is equal to the measure of its corresponding central angle. Therefore, the central angle of the sector is 90°.
Area of the sectorThe formula for the area of a sector of a circle is:
\(\large\boxed{\textsf{Area of Sector} = \dfrac{\theta}{360^{\circ}} \pi r^2}\)
where:
θ is the central angle of the sector (in degrees).r is the radius of the circle.Given:
θ = 90°r = 5 mSubstitute the values into the formula to calculate the area of the sector:
\(\begin{aligned}\textsf{Area of the sector} &= \dfrac{90^{\circ}}{360^{\circ}} \pi \cdot 5^2\\\\&= \dfrac{1}{4} \pi \cdot 25\\\\&= \dfrac{25}{4} \pi\; \sf cm^2\end{aligned}\)
Area of the triangleThe triangle has two congruent sides of 5 m (radii) and an apex angle of 90°. This means it is a right triangle with congruent legs measuring 5 m. The legs are the base and height of the triangle.
The formula for the area of a triangle with base b and height h is:
\(\large\boxed{\textsf{Area of a triangle}=\dfrac{1}{2}bh}\)
Therefore, substitute b = 5 and h = 5 into the formula to calculate the area of the triangle:
\(\begin{aligned}\textsf{Area of the triangle}&=\dfrac{1}{2}\cdot 5 \cdot 5\\\\&=\dfrac{5}{2}\cdot 5\\\\&=\dfrac{25}{2}\;\sf cm^2\end{aligned}\)
Area of the shaded segmentTo find the area of the shaded segment, we can subtract the area of the triangle from the area of the sector:
\(\begin{aligned}\textsf{Shaded segment}&=\sf Area_{sector}-Area_{triangle}\\\\&=\dfrac{25}{4}\pi-\dfrac{25}{2}\\\\&=19.634954...-12.5\\\\&=7.1349540...\\\\&=7.1\; \sf m^2\;(nearest\;tenth)\end{aligned}\)
Therefore, the area of the shaded segment is 7.1 m² (rounded to the nearest tenth).
Question 8 (2 points)
Gaston has an annuity that pays $250 at the beginning of each quarter. If the economy grows at a rate of 4.97% annually, what is the value of
the annuity if he received it in a lump sum now rather than over a period of eight years? (2 points)
$1,617.76
$1,698.17
$6,471.06
$6,792.67
Answers
The International Space Station uses 262,400 solar cells to change sunlight to electricity.Write 262,400 in standard form, word form, and expanded form.Use a place-value chart.Each group of three digits separated by a comma is
Answers
The standard form is the usual way in which numbers are written using the decimal system. Then, the standard form of 262,400, is:
\(262,400\)The word form is the way the number should be read. Then, the word form of 262,400, is:
\(\text{Two hundred sixty-two thousand, four hundred.}\)The expanded form of a number is a sum in which each part of the number is separated from the rest. For example, 27=20+7. In this case, the expanded form of 262,400, is:
\(200,000+60,000+2,000+400\)help now pls i need help
Answers
Answer:
Largest angle in ∆ABC is angle BCA = 65°
Step-by-step explanation:
angle CAB = 62° (Alternate angles)
angle E + 127° = 180° (Supplementary angles)
or, angle E = 180° - 127° = 53°
angle E = angle ABC
or, angle ABC = 53° (Alternate angles)
angle ABC + angle BCA + angle CAB = 180° (Sum of all angles of a triangle)
or, 53° + angle BCA + 62° = 180°
or, angle BCA = 180° - 53° - 62°
or, angle BCA = 65°
Colleen owns a house. In the house, on a tile floor is a throw rug and a heavy decorative urn. Most likely to meet the definition of a fixture is Group of answer choices the urn. the throw rug. the tile floor. None of them are fixtures
Answers
The item in the Colleen's house that is most likely to meet the definition of a fixture is a tile.
What is a fixture?A fixture is an item in a house that is permanently attached to a house with the use of a glue, nails or bolt. It would not be easy to remove fixtures from a house. Examples of fixtures are tiles, doors and windows.
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Evaluate:
a) 53.24 ÷ 9.351
Answers
Answer:
5.693508715645386
Step-by-step explanation:
Answer:
Answer is 5.69350871565
Step-by-step explanation:
What is the linear function equation that best fits the data set? 1) y = -2x + 5. 2) y = 2x + 5. 3) y = -1/2x + 5. 4) y = 1/2x - 5.
Answers
Without specific information about the data set, it is not possible to determine which equation is the best fit.
To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.
However, I can provide a general explanation of the four options:
y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.
y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.
y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.
y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.
Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.
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a graph from a rational function cannot cross a horizontal asymptote true or false
Answers
Answer:
False
Step-by-step explanation:
You want to know if it is true that the graph of a rational function cannot cross a horizontal asymptote.
AsymptoteOnce a function is on its final approach to an asymptote, it will approach, but not cross, that asymptote.
The function may have a variety of behaviors prior to that point, so may cross the horizontal asymptote one or more times before its final behavior is established.
An example with the asymptote y = 0 is attached.
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What is the decimal multiplier to increase by 6. 1%?
Answers
Answer: 1.061
Step-by-step explanation:
1). Based on conditions, formulate: 1+6.1%
2). Then convert to a decimal: 1.061
Solve the triangle ABC with ∠B = 90◦, ∠A = 36◦ and c = 100.
Answers
Answer:
<C = 54 degrees
b = 123.6
a = 72.6
Step-by-step explanation:
<C = 180 - 90 - 36 = 54 degrees
b = 100/sin54 = 123.6
a = sqrt (123.6^2 - 100^2) = 72.6
Drag each number to the correct location on the equations. Each number can be used more than once, but not all numbers will be used. Roy and Elisa are buying tickets for the annual school concert. Roy buys 6 adult tickets and 2 child tickets for a total of $66. Elisa buys 5 adult tickets and 4 child tickets for a total of $62. Determine the system of equations that can be used to find the cost of one adult ticket, a, and the cost of one child ticket, c.
62 5 128 6 4 66 2 8
Roy:__a + __c =__
Elisa:__a+__c =__
Answers
The system of equations to find the cost of one adult ticket, a, and the cost of one child ticket, c are Roy's; 6a+2c=66 Elisa's 5a+4c=62.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let's consider adults tickets be a and child tickets be c
so
Roy's purchase
6a+2c=66------1
Elisa's purchase
5a+4c=62-------2
Hence, the system of equations
6a+2c=66------1
5a+4c=62-------2
solving simultaneously
6a+2c=66
5a+4c=62
Also,
12a+4c=132
-5a+4c=62
7a=70
a=$10
put a=70 in 1
6(10)+2c=66
60+2c=66
2c=66-60
2c=6
c=$3
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how can confidence intervals help researchers attain their purpose of using a sample to understand a population?
Answers
The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .
In the question ,
we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,
we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .
the confidence interval are useful because ,
(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .
(ii) they make data analyses richer and help us to make more informed decisions about the research questions .
Therefore , the reason how confidence interval helps is mentioned above.
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Un padre está usando una manguera de jardín para llenar una pequeña piscina inflable para su hijo pequeño. La piscina tiene una capacidad de 90 galones. Apaga el agua después de 5 minutos, pero deja la manguera en la piscina durante otros 3 minutos antes de guardarla. En esta situación, la relación entre los galones de agua en la piscina y los 8 minutos desde que el padre comenzó a llenar la piscina puede verse como una función. 1. En esa función, ¿qué variable es independiente? ¿Cuál es dependiente?
Answers
Answer:
Water is being collected at the rate of 11.25 gallon per minute.
Step-by-step explanation:
In this function the filling of water in the pool is dependent on the number of minutes. The more time the tap is opened the greater amount of water can be accumulated in the pool .
So time is independent and water is the dependent variable.
The function can be represented by
f(x)= xt where t is the time in minutes
90 gallons= x * 8 minutes
or x= 90/8 = 11.25 gallon per minute.
So water is being collected at the rate of 11.25 gallon per minute.
Spanish
En esta función, el llenado de agua de la piscina depende de la cantidad de minutos. Cuanto más tiempo se abre el grifo, mayor cantidad de agua se puede acumular en la piscina.
Entonces el tiempo es independiente y el agua es la variable dependiente.
La función se puede representar por
F (x) = xt donde t es el tiempo en minutos
90 galones = x * 8 minutos
o x = 90/8 = 11,25 galones por minuto.
Entonces, el agua se recolecta a una velocidad de 11.25 galones por minuto.
Which graph shows a linear function?
Answers
Answer:
top right
Step-by-step explanation:
because