SOMEONE HELP ME.
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building.
Answers
The dimension of the rectangular room in the actual building are 55 feet by 30 feet.
How to find the dimension of the rectangular room in the actual building?Scale is used to represent the relationship between a measurement on a model and the corresponding measurement on the actual object.
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building.
The dimensions of this rectangular room in the actual building can be found as follows:
let's find the length of the actual room
1 inches = 10 feet
3 inches = ?
cross multiply
length = 30 ft
Let's find the width of the room
1 inches = 10 feet
5.5 inches = ?
cross multiply
width = 55 ft
Therefore, the width and length of the room are 55 feet and 30 ft respectively.
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Related Questions
A Web music store offers two versions of a popular song. The size of the standard version is 2.9 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1450 downloads of the song, for a total download size of 5629 MB. How many downloads of the standard version were there?
Answers
The number of downloads that were standard version were 560 songs.
How many downloads of the standard version were there?The first step is to form a system of equations:
2.9s + 4.5h = 5629 equation 1
s + h = 1450 equation 2
Where:
s = number of standard songs downloaded h = number of high quality songs downloadedMultiply equation 2 by 4.5:
4.5s + 4.5h = 6525 equation 3
Subtract equation 3 from equation 1:
896 = 1.6s
Divide both sides of the equation by 1.6:
s = 560
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Mr Agrawal has an electrical shop. he sold a tube light for rs 240 at 20% profit. find the cost price of tube light.
Answers
Answer:
192
Step-by-step explanation:
If 20% is the profit, then 80% is the cost.
.8 x 240 = 192
What is the domain of the following relation?
a. {-3, -1, 1, 4, 5}
b. {-5, 0, 2, 6}
c. {-3, -5, 0, 2, 4, 5, 6}
d. there is no domain
Answers
The domain of the relation in the diagram below is: a. {-3, -1, 1, 4, 5}.
What is the Domain of a Relation?A relation has a set of domain elements, which are all the inputs of the relation that are mapped to a set of range elements, which are all the corresponding outputs of the relation.
Given the relation as shown in the diagram that is attached below showing a mapping, the set of input values is {-3, -1, 1, 4, 5}, while the set of output values is {-5, 0, 2, 6}.
Therefore, {-3, -1, 1, 4, 5} is the domain of the relation because it is the set of all input values, while the range of the relation is {-5, 0, 2, 6}, because it is the set of all output values that corresponds to the input values.
The domain is therefore: a. {-3, -1, 1, 4, 5}.
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HOME Realty claims that it can sell a detached, residential house faster than any other realty company. With the aim of examining HOME's claim, you sample 20 customers who sold a detached, residential house through HOME and record the selling times (in days) of the houses. Your data are summarized below:
Selling Time Frequency
0 10 3
10 20 4
20 30 6
30 40 4
40 50 3
Find the proportion of selling times in the sample that are less than 20 days claims that it can sell a detached, residential house faster than any other realty company.
Answers
The proportion of selling times is 0.35
From the question, we have
Selling Time___ Frequency
0 10____________3
10 20__________ 4
20 30__________ 6
30 40__________ 4
40 50__________ 3
Proportion of selling times in sample above that are less than 20 days :
total frequency = (3 + 4 + 6 + 4 + 3) = 20
Selling time which is less Than 20 days :
(0 - 10) = 3
(10 - 20) = 4
Total = (3 + 4) = 7
Proportion = selling time less Than 20 days / total frequency
= 7 / 20
= 0.35
Addition:
The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.
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Calculate the simple interest and maturity value.
Note: Do not round intermediate calculations. Round your answers to the nearest cent.
S
Principal
19,500
Interest rate
6 1/2 %
Time
20 month
Simple interest
< Prev
C
a
2 of 14
Maturity value
Next >
DELL
Answers
The simple interest is 2112.5 and the maturity value is 21,612.5
In the given question,
We have to find the simple interest and maturity value.
The given principal amount (P)= 19,500
The interest rate (r)= 6 1/2%
We write the interest in improper fraction. We can write it as 6 multiple with 2 then adding the result of multiplication with 1.
So the simplest form (r)=13/2%
Time = 20 months.
Now converting the months into years.
As we know that in one year have 12 months.
So the Time = 20/12
Time (T)= 5/3
The formula of simple interest is
I = P*R*T/100
Now putting the value
I = 19,500*(13/2)*(5/3)/100
Simplifying
I = 19,500*13*5/100*2*3
I = 1,267,500/600
I = 2112.5
Hence, the simple interest is 2112.5.
Now finding the maturity value(MV).
MV=P+I
MV=19,500+2112.5
MV=21,612.5
Hence, the maturity value is 21,612.5
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Two buses leave a station at the same time and travel in opposite directions. On bus travels 17 km/h faster than the other. If the two buses are 836 kilometers apart after 4 hours, what is the rate of each bus
Answers
Step-by-step explanation:
speed = distance / time
to get distance, we have to multiply by time.
the speed the 2 busses are moving seat from each other is
x + (x + 17) = 2x + 17
x = the speed of one bus
x + 17 = the speed of the other bus.
so, after 4 hours the distance between them is
(2x + 17) × 4 = 836
2x + 17 = 209
2x = 192
x = 96 km/h
bus 1 travels at 96 km/h.
bus 2 travels at 96+17 = 113 km/h.
Use Figure 1 to evaluate each trigonometric function of angle A . The side adjacent to angle A has length 4 and the side opposite angle A has length 10.
Answers
The trigonometric ratios for angle A are measured below.
What is triangle?
A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a right angled triangle as shown in the image attached.
The six trigonometric ratios are -
sin (A) = 10/√116
cos (A) = 4/√116
tan (A) = 10/4
cosec (A) = √116/10
sec (A) = √116/4
cot (A) = 4/10
Therefore, the trigonometric ratios for angle A are measured above.
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how much is 1191 less than 1111
Answers
Answer: If you mean how much is 1111 less than 1191, then your answer is
80.
Step-by-step explanation: 1191 - 1111 = 80.
for questions 4-6: The table below shows
e average price of a gallon of gasoline.
Year
2000
2004
2010
2012
2015
Price
2.02
2.32
3.02
3.64
2.45
4. Find the rate of change from 2004 to 2010.
5. Find the rate of change from 2000 to 2012.
6. Find the rate of change from 2012 to 2015
Answers
Answer:6/13/3
Step-by-step explanation:look at how the year’s difference are
You pick a card at random.
5678
What is P(not divisor of 45)?
Write your answer as a percentage.
%
Answers
As a percentage, a card at random 5, 6, 7, 8 9, 7.5, 6.42, 5.62. Per cent is derived from the Latin adverbial phrase per centum, which means "by the hundred." The Latin phrase made its way into English in the 16th century.
What is meant by percentage?A percentage is a number or ratio that is expressed as a fraction of one hundred. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct.," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement. Percentage = (Original number/Another number) x 100 is the formula for calculating the percentage of one number from another. A percentage is a value or ratio that represents a fraction of 100 in mathematics. Percentage means one hundred percent. There are no units in it. A percentage is a number that tells us how much out of 100 we are talking about, and it can also be written as a decimal or a fraction - three for the price of one.Therefore,
45/5 = 9
45/6 = 7.5
45/7 = 6.42
45/8 = 5.62
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26% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.
Answers
Answer:
a) p(X =2) = 0.261
b) P(x>2) = 0.566
c) P(2<x<5) = 0.334
Step-by-step explanation:
Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday
Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24
n = 10
By using Poisson distribution
mean number of make purchases during a sales tax holiday
λ = np = 10 X 0.24 = 2.4
a)
The probability of getting exactly '2'
The probability
b) The probability of getting more than '2'
= 0.090 + 0.2177+0.261 = 0.566
P(x>2) = 0.566
c) The probability of getting between two and five
P( 2<x<5) = P(x=3)+p(x=4) =P(2<x<5) = 0.2090 + 0.125 = 0.334
hope this helps
(7x-7)
63°
(3x +45)
(9-4)
Find x and y
Answers
The value of x is 33 and y is 39.
What is parallel line?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.As, (7x- 7) = 3x+ 45 (corresponding angles)
4x = 52
x= 13
Now, 7x- 7 + w + 63 = 180 (linear pair)
w= 180- 147
w= 33 degree.
y-6 = 33 (Alternate interior angle)
y= 39
Hence, the value of x is 33 and y is 39.
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-8 What is 9.15 x 10°° written in standard form?
Answers
The value of the number 9.15 x 10° written in standard form is equal to 9.15.
As given in the question,
Given number is equal to :
9.15 x 10°
Given number 9.15 x 10° is written in standard form.
The value of the given number 9.15 x 10° written in standard form is given by:
9.15 x 10°
Here 10° = 1
Using property of number: Any number raise to zero is always equal to 1.
9.15 x 1
Using Multiplicative identity , number multiply to 1 remain number itself.
= 9.15
Therefore, the value of the number 9.15 x 10° written in standard form is equal to 9.15.
The complete question is:
What is the value of 9.15 x 10° written in standard form?
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A shoe store is offering a series of markdowns for its customers due to its need for quick cash. The shoe store is offering the markdowns in the following order: 35%, 20%, and 10%. What would be the sale price of a pair of boots, if it originally costs $165.00?
Answers
The final price of the shoes after successive discounts is $77.22.
What is a discount?
A discount is a reduction in the regular selling price of a good or service, either in terms of money or as a percentage.
Main Body:
Sale price = Original price - discount
The formula for successive discount is given by=
Cost price*(1 - discount₁/100)*(1 - discount₂/100)*(1 - discount₃/100)
Now calculating:
According to the question , Cost price = $165
sale price = 165*(1-0.35)*(1-0.20)*(1-0.10)
= 165*0.65*0.8*0.9
= $77.22
Hence the answer to sale price of the shoe would be $77.22
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Rewrite polynomial in standard form
Answers
The standard form of polynomial is x^2 + 9x - 1/10
To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.
The given polynomial is
⇒ x^2 + 9x - 1/10
The standard form of the polynomial is
⇒ x^2 + 9x - 1/10
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
Answers
The equation have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p
How to determine the equations that have the same solution?Given: 2.3p – 10.1 = 6.5p – 4 – 0.01p.
Using this given property, let's write the equation
We can subtract like terms (6.5p– 0.01p = 6.49p) to get:
2.3p – 10.1 = 6.5p – 0.01p – 4
2.3p – 10.1 = 6.49p – 4
Also, we can multiply both sides of the algebraic equation by 100:
(2.3p – 10.1) x 100 = (6.5p – 4 – 0.01p) x 100
230p – 1010 = 650p – 400 – p
Therefore, the equations have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p. The 2nd and 3rd options are the answers
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Find the y intercept and slope of the linear equation
0 = 4.5 - 2y + 4.8x
Answers
Add 2y to both sides
2y=4.8x + 4.5
Divide both sides by 2
Y=4.8x/2 + 4.5/2 = 2.4x + 2.25
This is how linear equations are set up: y=mc + b where m refers to the alive and b refers to the y intercept
Therefore, the slope is 2.4 and the y-intercept is 2.25
Find the measure of the exterior angle.
Answers
Answer:
x is 109°
hopefully this will help u
Translate (in terms of x) then solve the algebraic equation:
Nine is subtracted from twice some number and the result is the sum of the number
and 7.
Answers
The Algebraic Equation is correct
What is Algebra?
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.
Two times a certain quantity
When a number is divided by two, ten is subtracted: 2x-9
The equal sign is a result.
The number and its sum equals 7+x.
Put everything together (except for the first 2x, that was used to find the second part).
2x-9=7+x
Get all of your like terms on the same side first. Because dealing with a negative variable can result in an additional step at the end, I personally dislike dealing with them. As a result, I'll take the n on the right and shift it to the 2x on the left.
2x-9=7+x
x-9=7
The -9 must now be positioned on the other side of the equal sign.
x = 7 + 9
x=16
Connect the 16 to the original equation to make sure you're doing it correctly.
2(16)-9=7+(16)
32-9=7+16
23=23
It is accurate.
Hence, The algebraic equation is correct
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Two car owners are in need of car repairs. Elise will need to pay the mechanic $1 per
minute for labor, plus $350 to cover the cost of new parts. Kayla will need to pay $200
for parts and $2 per minute for labor. Depending on how long each repair takes, the
two jobs might end up costing the same amount ?
Answers
Answer:
yes, if the labor takes 150 minutes (or 2h 30 minutes)
Step-by-step explanation:
m + 350 = 2m + 200
2m - m = 350 - 200
m = 150
A dairy farmer wants to mix a 45% protein supplement and a standard 20% protein ration to make 2000 pounds of a high-grade 35% protein ration. How many pounds of each should he use?
Answers
The farmer should use 1200 pounds of type 1 mixture and 800 pounds of type 2 mixture to satisfy the given conditions
From given information,
Type 1: 45 percent of protein in the supplement is x pounds
Type 2: 20 percent of the protein in the supplement is (2000 - x) pounds
Also Mixture A 35% of the protein in the supplement is 2000 pounds
According to the equation after removing the percentage sign we have
45x + 20(2000-x)= 35*2000
45x + 40000 - 20x = 70000
25x = 30000
x = 1200
Now for type 2 mixture we have
2000 - 1200 = 800 pounds
Therefore, the farmer should use 1200 pounds of type 1 mixture and 800 pounds of type 2 mixture to satisfy the given conditions
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Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated.
65 lb to g
Answers
The conversion of the measurement of 65 lb will be 29483.5 g.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
In this case, we need to convert 65 lb to g
It should be noted that we have to multiply the weight value by 453.5
Therefore, it should be noted that 65 lb will be:
= 65 x 453.5
= 29483.5 g.
Therefore, it should be noted that the conversion of the measurement of 65 lb will be 29483.5 g.
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explain the error
rational numbers
3.4
integers
-1.2
whole numbers
-2 3
Answers
Answer: -2 isn’t a whole number and -1.2 isn’t a integer.
Bill claims that he found the actual December temperature by adding either -5 + 3 or 3 +-5.
What property did Bill use?
Answers
The addition property used by Bill in finding the actual December temperature is the commutative property of addition.
According to the question,
We have the following information:
Bill claims that he found the actual December temperature by adding either -5 + 3 or 3 +-5.
We know that are five properties of addition: closure property, commutative property, associative property, additive identity property of addition and additive inverse property.
The commutative property of addition means that if two numbers are added and their order is inversed then the result of addition will always be the same.
For example, we get -2 by adding -5+3 and 3+(-5). The change in order of digits does not affect the final result.
Hence, the addition property used by Bill in finding the actual December temperature is the commutative property of addition.
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What is an equation of a line, in point-slope form, that passes through (1, -7) and has a slope of -2/3?
O y-7= -2/3( x + 1)
Oy+7= -2/3(x - 1)
Oy+7=2/3(x + 1)
O y-7=2/3(x-1)
Answers
Answer:
second option
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - [tex]\frac{2}{3}[/tex] and (a, b ) = (1, - 7 ) , then
y - (- 7) = - [tex]\frac{2}{3}[/tex] (x - 1) , that is
y + 7 = - [tex]\frac{2}{3}[/tex] (x - 1)
The graph shows Derek’s pay compared to the hours he has worked.
What is Derek’s hourly rate of pay?
Charlie earns $52.25 in 5 hours of work. What is Charlie’s hourly rate of pay?
Who gets paid more per hour? How much more?
Answers
Derek's hourly rate is $10 and Charlie's hourly rate is $10.45, Charlie's earns $0.45 more per hour than Derek.
What is unit rate?A unit rate means a rate for one of something.
Given that, a graph which shows Derek's earning hourly, and Charlie earns $52.25 in 5 hours of work,
Derek's earns $10 for an hour
Charlie's earning for an hour = 52.25/ 5 = $10.45
Hence, Charlie's hourly rate is $10.45, and he earns $0.45 more per hour than Derek.
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What is the slope of line KH if H(-4, 2) and K(2, -2)? Remember to reduce!
Answers
The slope of a line KH if H(-4, 2) and K(2, -2) is -2/3.
What is a slope?A mathematical word used to define a line's direction and steepness is its slope or gradient.
If a line is rising from left to right, it is growing. The slope is positive, or m>0
If a line decreases from left to right, it is said to be diminishing. The slope is negative, indicating that m < 0
A line has zero slopes if it is horizontal. This function is constant.
The slope of a line is y - y₁ = m(x - x₁)
Slope m = (y₂ - y₁)/(x₂ - x₁)
m = (- 2 - 2)/(2 + 4)
m = - 4/6
m = - 2/3
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Use the graph of the following function (x) to find the value.
f(1)
Answers
From the graph of the given function , the value of f(1) = -1.
As given in the question,
From the graph of the given function,
Two coordinates from the graph are as follow:
( x₁ , y₁) = (1, -1)
( x₂ , y₂ ) = ( 0, -3 )
Equation of the line representing the function is given by:
(y - y₁) /(x-x₁) = ( y₂ -y₁)/ (x₂ -x₁)
⇒(y +1)/ (x-1) = (-3 +1)/ (0-1)
⇒ (y +1)/ (x-1) = 2
⇒y +1 = 2x -2
⇒ y = 2x -3
To get the value of x we have,
y = f(x)
⇒f(x) = 2x -3
⇒f(1) = 2(1) -3
⇒f(1) = -1
Therefore, from the graph of the given function , the value of f(1) = -1.
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helppppppppppppppppppppppppp
Answers
Answer:
E
Step-by-step explanation:
I am a line & domain is -7
6th grade problem i need help
Answers
Answer:
Step-by-step explanation:
1. First multiply to get the number of hours for 5 painters.
5*21= 105 minutes for 5 painters.
2. Divide by 7 for hours taken for the 7 painters!
105/7=15
3. Answer=15 hours
Because you would need to do a proportion table and do 7x21=147
147/5= 29.4
Round it??
