Answer:
B
Step-by-step explanation:
the British thermal unit (BTU or Btu) is a unit of heat; it is defined as the amount of heat required to raise the temperature of one pound of water by one degree Fahrenheit.
and it is outdated. your teacher and the manufacturer should use joules as metric.
1 BTU ≈ 1055 joules
anyway, so, the solution has several parts.
we need to find how many pounds of water are in a gallon.
and then multiply by the amount of gallons (20 000) and the amount of degrees (2 from 70 to 72).
and after a little search on the internet we get
1 gallon of water = 8.34 pounds
so, we need to warm
20000×8.34 pounds of water by 2 degrees F.
that is
20000 × 8.34 × 2 = 333,600 BTU
if we use only the rounded value of pounds per gallons (8.3), this would be
20000 × 8.3 × 2 = 332,000 BTU
so in any case, B is the right answer (as being the closest to the real result), which is the situation with any size classification of devices : reality is somewhere close by, but never meets the exact specifications.
Find each of the following sums by first deciding if the answer is positive or negative and then using subtraction to help find the final answer (a) -237+359 (b) 87+-163 (c)-35.7+22.9 (d)8.79+6.41
Given the given task content, the answer to the sums are:
The answer is positiveThe answer is negativeThe answer is negativeThe answer is positiveSubtraction of numbersThe subtraction of numbers is difference between two or more numbers
(a) -237 + 359
= 122
The answer is positive(b) 87 + (-163)
= 87 - 163
= -76
The answer is negative(c) - 35.7 + 22.9
= -12.8
The answer is negative(d) 8.79 + 6.41
= 15.20
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. Read the following statement.
AABC is not an acute triangle.
What is the first step of indirectly proving this statement?
O
Assume AABC is not a scalene triangle.
Assume AABC is an acute triangle.
Assume AABC is not a right triangle.
Assume AABC is not an acute triangle.
The required step of indirect proving is to assume AABC is an acute triangle. Option B is correct.
Given that,
AABC is not an acute triangle.
What is the first step of indirectly proving this statement is to be determined.
The angle can be defined as the one line inclined over another line.
Here,
Indirect proving implies proving with contradictions,
So in order to prove AABC is not an acute triangle, we have first assumed that AABC is an acute triangle.
Thus, the required step of indirect proving is to assume AABC is an acute triangle. Option B is correct.
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Based on the histogram above, what is the class width?
Class width =
What is the sample size?
Sample size =
Based on the histogram above, the class width is equal to 4.
Based on the histogram above, the sample size is equal to 37.
What is a class width?In a frequency distribution table, a class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table.
Mathematically, the class width of a data set can be calculated by using this formula:
Class width = (max - min)/n
Where:
max represents the maximum value in a data setmin represents the minimum value in a data set.n represents the number of desired classes.In this context, the class width of this histogram can be calculated as follows;
Class width = max - min
Class width = 5 - 1
Class width = 4.
Furthermore, the sample size can be computed by adding all the frequencies of the corresponding rectangular bars of the histogram as follows;
Sample size = 6 + 10 + 4 + 2 + 7 + 8
Sample size = 37.
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In a discount clothing store, all sweaters are sold at one fixed price and all shirts are sold at another fixed price. If one sweater and four shirts cost $47, while four sweaters and three shirts cost $84, find the price of one sweater and the price of one shirt.
Answer:
Step-by-step explanation:
Let x be the sweater
Let y be the shirt
Equation1: x+4y=47
Equation2: 4x+3y=84
Now solve for x in the first equation:
x+4y=47
x=47-4y
Now that we've solved for x, substitute the value for x which is 47-4y into Equation2 as follows:
4x+3y=84
4(47-4y)+3y= 84
188-16y+3y= 84
188-13y= 84
-13y= 84-188
-13y= -104
y= -104/-13
y= 8
Now plug in the value for y which is 8 into Equation 1 and solve for x:
x+4y=47
x+4(8)=47
x+32=47
x=47-32
x=15
You can perform a check by plugging in the x and y values into equations 1 and 2 which should yield true statements.
The answer is: 1 sweater costs $15 and 1 shirt costs $8
perpendicular to y=-1/3x-6 through (-2,8)
Answer:
y = 3x + 14
See the work below.
Step-by-step explanation:
A flower bed has the shape of a rectangle 5 yards long and 4 yards wide. what is its area in square feet? be sure to include the correct unit in your answer.
Answer: 60 square feet
Step-by-step explanation: 5 times 4= 20 yards 20 times 3=60 feet
5*3=15
4*3=12
15*12= 180square feet
The revenues and expenses of Up-in-the-Air Travel Service for the year ended April 30, 20Y7, follow:
Fees earned $742,000
Office expense 308,000
Miscellaneous expense 10,000
Wages expense 490,000
Prepare an income statement for the year ended April 30, 20Y7. Be sure to complete the statement heading. Refer to the lists of Accounts in the information given, Labels, and Amount Descriptions for the exact wording of the answer choices for text entries. Enter amounts as positive numbers unless the amount is a calculation that results in a negative amount. For example: Net loss should be negative. Expenses should be positive. A colon (:) will automatically appear if it is required.
If the revenues and expenses of Up-in-the-Air Travel Service for the year ended April 30, 20Y7, follow: Fees earned $742,000, Office expense 308,000. The income statement has a net loss of: $66,000.
Income statementIncome statement for the year ended April 30, 20Y7
Revenue:
Fees earned $742,000
Expenses:
Office expense $308,000
Miscellaneous expense $10,000
Wages expense $490,000
Total expenses $808,000
Net loss $66,000
($742,000-$808,000)
Therefore if the revenues and expenses of Up-in-the-Air Travel Service for the year ended April 30, 20Y7, follow: Fees earned $742,000, Office expense 308,000. The income statement has a net loss of: $66,000.
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A polling company reported that 98% of 2,330 surveyed adults said that they play football. What is the exact value that is 98% of 2,330?
The exact value that is 98% of 2330 is 2283
The value is 98% of 2330
98% of 2330 is 98/100×2330=2283.4≅2283
The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions with a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.Percentage is a fraction or a ratio in which the value of whole is always 100. Percent is another name for indicating hundredths.The percentage formula is used to find the share of a whole in terms of 100To learn more about percentages visit:
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an angle measures 85.2 less than the measure of its supplementary angle. what is the measure of each angle? it should be 2 angles or answers. please answer quick. i will mark brainliest. thank you
Answer:
47.4°, 132.6°
Step-by-step explanation:
Given the difference of two angles is 85.2° and their sum is 180°, you want to find their measures.
SetupLet the smaller angle be represented by x. Then the larger angle is (x +85.2). Their sum is ...
x +(x +85.2) = 180
SolutionSimplifying the equation, we get ...
2x +85.2 = 180
2x = 94.8 . . . . . . . . subtract 82.5
x = 47.4 . . . . . . . divide by 2
x +85.2 = 132.6
The two angles are 47.4° and 132.6°.
A truck costing $56,000 has accumulated depreciation of $50,000. The truck is sold for $8,500. What is the journal entry for this transaction?
Answer: debit Cash for $8,500, debit Accumulated Depreciation− Truck for $50,000, credit Truck for $56,000, and credit Gain on Disposal for $2,500.
5. Daunte's favorite video game store is running a clearance sale. Every week until
everything is sold, the store's owner is going to reduce the price of the remaining
merchandise by 25%. Duante figures that he should wait 4 weeks to go to the
store because then the merchandise will be 100% off! Construct a mathematical
argument involving an exponential function to explain whether Daunte is correct
or incorrect.
Daunte is incorrect. After 4 weeks, the price would be 68.5 percent off.
Is Daunte correct?An exponential function is a mathematical function that has the form : f(x) = a^x
Where:
a = constant x = variableAn exponential function indicates that the quantity is either increasing at a faster rate or reducing at a faster rate. This is true because an exponential increase or decrease is faster than a linear increase or decrease. In a linear increase or decrease, the function is either increasing or decreasing at a constant value.
The price of the video games would reduce by 25% of the previous weeks' price. Thus, the function that would represent this is an exponential function.
The form of the exponential equation would be:
Price after 4 weeks = Initial price x (1 - percentage decrease)^number of years
Let's assume that the initial price is 100
100 x (1 - 0.25)^4
100 x (0.75)^4 = 31.64
The total percentage decrease in the price of the good: (current price initial price) - 1
(31.64 / 100) - 1 = 0.684 = 68.4%
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How to solve the equation
Answer:
x = -26
Step-by-step explanation:
[tex](f-g)(x)=\frac{4}{x-3}-\frac{3}{x+5}=\frac{3}{x^2 +2x-15} \\ \\ \frac{4(x+5)-3(x-3)}{x^2 +2x-15} \\ \\ =\frac{4x+20-3x+9}{x^2 +2x-15}=\frac{3}{x^2 +2x-15} \\ \\ \frac{x+29}{x^2 +2x-15}=\frac{3}{x^2+2x-15} \\ \\ x+29=3 \\ \\ x=-26[/tex]
This is in the domain of the equation, and is thus a solution.
Nathan earns $78.75 for working 5 hours. Calculate the unit rate. How much money does he earn in 1 hour?
Answer: $15.75
Step-by-step explanation:
$78.75/5 hr=$15.75/hr
Answer:
He earns $15.75 an hour
Step-by-step explanation:
You have to divide $78.75 by 5 to get the unit rate(earnings for 1 hour).
all answers needed please help i’ll give brainliest !! this is due tmr
Answer: See below
Step-by-step explanation:
a. 3(4)= 12
b. 4+11+(-4)
=15+(-4)
Answer=11
c. 3.2(2)= 6.4
d. I (-2)+(-2)+(-2) I= 6
e. I 2(-7.5) I = 15
f. [tex]10\frac{1}{5}[/tex](-5)= -51
During a Brazilian Day celebration, dancers perform in groups to honor Brazil's independence. There are 56 dancers wearing green outfits and 42 dancers wearing yellow outfits. Each group of dancers has the same number of dancers wearing green and the same number of dancers wearing yellow. All of the dancers are in a group. What is the greatest number of groups that can be formed?
The greatest number of groups that can be formed is 7.
How to calculate the value?
It should be noted that there are 56 dancers wearing green outfits and 42 dancers wearing yellow outfits.
The greatest number of groups that can be formed will the highest common factor between the numbers.
It should be noted that the highest common factor between 42 and 56 is 7.
Therefore, the greatest number of groups that can be formed is 7.
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Select all names that apply
Answer:
A irrational
B real
Step-by-step explanation:
Given the value π/7, you want to classify it as whole, integer, real, and/or irrational.
Number classificationAny number that does not have an imaginary part is a real number. Real numbers include integers, whole numbers, and natural numbers, none of which have any fractional part.
Any ratio of integers (with a non-zero denominator) is a rational number. All other real numbers are irrational numbers. Pi (π) is an irrational number.
When rational numbers are written as decimal numbers, their fractional part will either terminate or repeat. When the fractional part of a decimal number does not terminate or repeat, but continues indefinitely, the number is irrational.
Pi/7As we said, pi is an irrational number. Multiplying it by a rational number (1/7) does not change its classification.
π/7 is irrational and real
a rectangle with a diagonal of length x is twice as long as it is wide. what is the area of the rectangle?
The area of the rectangle whose diagonal is twice its width is (x²√3)/4 square units.
What is the Area of Rectangle?The area of rectangle is defined by the product of its length and width. Mathematically-
Area [A] = Length [L] x Width [W]
Given is a rectangle whose diagonal is twice as long as it's width. From this, we can write -
Width = w
Length of diagonal = x = 2w
Assume that the length of the rectangle is L. Using the Pythagoras theorem in the triangle ΔABC, we get -
AC² = AB² + BC²
x² = L² + w²
(2w)² = L² + w²
4w² = L² + w²
L² = 3w²
L = w√3
Now, the width of rectangle is 'w' and its length is 'w√3'. Its area will be-
Area = length x width
A = w√3 × w
A = w²√3
Now, length of diagonal → x = 2w. So, we can write -
w = x/2
Therefore, the area will be -
A = (x/2)²√3 = (x²√3)/4
Therefore, the area of the rectangle whose diagonal is twice its width is (x²√3)/4 square units.
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A car uses 3.75 gallons of gas to travel 100.5 miles. How much gas will they use after 20 miles?
Given g(t)= -t+5, what is the value of g(-15)?
We have that [tex]g(t)=-t+5[/tex], and we are asked to evaluate [tex]g(-15)[/tex] . In notation of functions like this, the number inside the parentheses is the value of the variable. Or, to be more clear, this is essentially telling us that [tex]t=-15[/tex] for our expression [tex]g(t) = -t+5[/tex]. So we can evaluate it as follows:
[tex]g(-15) = -15 + 5 = -10[/tex]
What is the image of the point.
Answer:they will both negative because the rules are -x,-y
Step-by-step explanation:
A musician kept track of the concert arenas on this year's tour and found that 60% of the arenas were sold out. Of those that were not sold out, 25% had been on the previous tour schedule from last year, while 90% of those that were sold out were on the previous tour schedule. Which of the following represents the joint relative frequency of arenas that were sold out and not on the previous tour schedule?
75%
54%
30%
6%
Answer:
6%
Step-by-step explanation:
First, let's break this down:
60% of arenas sold out
90% had been on previous tourOut of those arenas that did NOT sell out
25% had been on previous tourWe want to know the joint relative frequency of area that were sold out AND NOT on the previous tour schedule, therefore all the information about areas that did NOT sell out is irrelevant.
Because 90% of the areas that were sold out had been on the previous tour, 10% had NOT been on the previous tour.
Therefore, considering all the arenas, 10% of 60% of the arenas were sold out and not on the previous tour.
Let x equal the total number of arenas:
[tex](.10)(.60)x=0.06x[/tex]
Convert to percent
6%
Therefore, the joint relative frequency of sold out arenas that were not on the previous tour is 6%.
What is the area of the circle shown below?
A circle with radius 8 centimeters.
a.
8 pi cm2
c.
StartFraction 16 Over 3 EndFraction pi cm2
b.
16 pi cm2
d.
64 pi cm2
Answer:
Step-by-step explanation:
64 pi cm2
Answer:
201.1 = 8^2 pi cm2 = 64 pi cm2
Step-by-step explanation:
The area of a circle with a radius 8 is 201.1
Hope it helps!!!
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Find the perimeter and area of a rectangle with side length of 12 cm and width of 6 cm.
=
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of Strength
25% antifreeze to get a mixture that is 40% antifreeze? Use the six-step method.
The number of gallons that must be needed to antifreeze 50% solution is 105.
Given that 50% antifreeze solution must be mixed with 70 gallons of Strength 25% antifreeze to get a mixture that is 40% antifreeze.
The six-step method involves a few steps that need to perform. These are defining the problem, determining the root cause, finding the alternative solution to solve the problem, selecting the solution, implementing the solution, and finally evaluating the outcome.
Let's consider x be the number of gallons of a 50% antifreeze solution.
As we know we need to make an antifreeze solution by adding the given quantities.
Hence,
x×50%+70×25%=40%×(x+70)
x×0.5+70×0.25=0.4×(x+70)
Now, we will multiply the numbers, we get
0.5x+17.5=0.4(x+70)
Now, we will multiply both sides by 10, we get
0.5x×10+17.5×10=0.4(x+70)×10
5x+175=4(x+70)
5x+175=4x+280
Further, we will subtract 175 from both sides, we get
5x+175-175=4x+280-175
5x=4x+105
Furthermore we will subtract 4x from both sides, we get
5x-4x=4x+105-4x
x=105
Hence, 105 gallons of 50% antifreeze solution must be needed.
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Help !!! Evaluate -3 5
-7 7
Salaries for teachers in a particular elementary school district are normally distributed
with a mean of $44,000 and a standard deviation of $6,500.
Thus standard daviation is x~N(4400,6500)
Let X denote the salaries for all the teachers in a particular alimentary school.
As per the generation X is commonly distinguished with a mean of u=44,000
standard daviation of €=$6500
The answer is x~N(44000,6500)
Since the 10 teachers are survived randomly from the district
The site of n=10
Variable€x present salary of all 10 teachers in a particular alimentary sel.
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(-10) + ( -2 ) + ( -7 )
Please
Hello...! :)
Very easy, we must eliminate the Parentheses and then we must use the Law of Signs and in this case we will use this which is:
[tex]\green{\underline{\blue{\bold{Law\: of \: signs:}}}} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - × + = - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \times + = + \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times - = + \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \times - = - [/tex]
Once we know we must add but since we know that it is a minus sign (-) we will add it as if it were a simple sum but the minus sign just stays there
We start to solve:
[tex] \: \: \: \: \: \: \sf \red{(-10) } \pink+ \blue{ ( -2 ) } \purple+ \green{( -7 )}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \red{-10} \blue{ -2 } \green{-7}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{-12} \green{ -7}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{-19}[/tex]
And in conclusion, the result of our problem is 19
¿Doubts? in the comments Greetings :D
An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 10.5 inches wide.
The book in real life is 7 times larger than the one on the website. When you divide 10.5/1.5 you get 7. So multiplying 3 by 7 will get you 21.
Therefore, the real book is 21 inches tall
7th grade question
easy question
C
Using a Number Line to Add Fractions
Slide the green dot from 0 to plot the number at the correct
location.
Plot
-3.5 -3 -2.5 -2 -1.5 -1 -0.5 0
0.5 1
Use the number line to find
O
19
4
O
19
8
O-2
21
¹()+(-3¹)
8
21
8
Answer:
c
Step-by-step explanation:
C
Using a Number Line to Add Fractions
Slide the green dot from 0 to plot the number at the correct
location.
Plot
-3.5 -3 -2.5 -2 -1.5 -1 -0.5 0
0.5 1
Use the number line to find
O
19
4
O
19
8
O-2
21
¹()+(-3¹)
8
21
8