Answer:
[tex]\$\ 6400[/tex]
Step-by-step explanation:
1. Approach
The easiest way to solve this problem is to find the area of the first room with the dimensions of (12ft) by (14ft). Then one will divide the cost of carpeting the room by the area of the room, this will yield the price of carpeting per square foot. After finding the price of carpeting per square foot, one will find the area of the second room, with the dimensions of (48ft) by (56ft). Finally, one will multiply the price per square foot of carpeting by the area of the second room to find the price for carpeting the second room.
2. Find the area of the first room
Assume that the first room is a rectangle. the following formula can be used to find the area of a rectangle,
[tex](length)(width)=Area[/tex]
The following are the dimensions of the given room,
[tex]length = 14\\width = 12[/tex]
Substitute into the formula to find the area and simplify to solve,
[tex](length)(width)=Area[/tex]
[tex](14)(12)=Area_1[/tex]
[tex]168=Area_1[/tex]
3. Find the price of carpeting per square foot
To find the price of carpeting per square foot, divide the total price for carpeting the first room by the area of the first room.
[tex]\frac{carpeting\ price_1}{area_1}[/tex]
[tex]=\frac{400}{168}[/tex]
Simplify,
[tex]=\frac{400}{168}[/tex]
[tex]=\frac{50}{21}[/tex]
4. FInd the area of the second room
Assume that the second room is also a rectangle. Use a similar strategy to find the area of this room as used for the area of the first room.
[tex](length)(width)=Area[/tex]
[tex]length = 48\\width = 56[/tex]
Substitute and simplify to sovle,
[tex](length)(width)=Area[/tex]
[tex](48)(56)=Area_2[/tex]
[tex]2688=Area_2[/tex]
5. Find the price for carpeting the room
Multiply the area of the room by the price for carpeting per square foot to find the price for carpeting the second room.
[tex](Area_2)*(carpeting\ price)[/tex]
[tex]2688=Area_2[/tex]
[tex]\frac{50}{21}=carpeting\ price[/tex]
[tex](Area_2)*(carpeting\ price)[/tex]
[tex]=(2688)*(\frac{50}{21})[/tex]
Simplify to solve,
[tex]=(2688)*(\frac{50}{21})[/tex]
[tex]=(2688)*(\frac{50}{21})[/tex]
[tex]=6400[/tex]
Oscar and Maria each wrote an equation that they felt represented the proportional relationship between distance in kilometers and distance in miles. One entry in the table paired 152 km with 95 miles. If k represents the number of kilometers and m represents the number of miles, who wrote the correct equation that would relate kilometers to miles? Explain why.
Oscar wrote the equation k=1.6m, and he said that the unit rate 1.6/1 represents kilometers per mile.
Maria wrote the equation k=0.625m as her equation, and she said that 0.625 represents kilometers per mile.
9514 1404 393
Answer:
Oscar
Step-by-step explanation:
On the face of it, you can see that the number of kilometers representing a given distance is greater than the number of miles. (152 > 95)
This means the constant of proportionality (a) in the equation ...
k = am
must be greater than 1. You can find its value by solving this equation for 'a' and using the table entries for k and m:
a = k/m = 152/95 = 8/5 = 1.6
The correct relation is ...
k = 1.6m . . . . . Oscar wrote the correct equation
which ordered pair represents the x-intercept for the linear equation, 3y+4×=8?
(0, 8/3)
(0, 2)
(2, 0)
(8/3, 0)
Answer: Third Choice. (2, 0)
Step-by-step explanation:
STEP ONE: Look over the given choice.
When the value of y is 0, the value of x would be the x-intercept.
The given choice are the following:
(0, 8/3)(0, 2)(2, 0)(8/3, 0)As we can see from the choices, the first two do not have the value of y as 0, therefore, they can be automatically neglected. Then, we are left with two choices left.
STEP TWO: Substitute the remaining values into the given equation
Given point = (2, 0)
3y + 4x = 8
3 (0) + 4 (2) = 8
0 + 8 = 8
8 = 8 [tex]\boxed {TRUE}[/tex]
Given point = (8/3, 0)
3y + 4x = 8
3 (0) + 4 (8/3) = 8
0 + 32 / 3 = 8
32/3 ≠ 8 [tex]\boxed {FALSE}[/tex]
Therefore, the ordered pair that represents the x-intercept is (2, 0).
Hope this helps!! :)
Please let me know if you have any questions
what is the value of the 2 in 3,261? the 3? the 1?
Answer:
The 2 is 200
The 3 is 3000
The 1 is 1
And if needed
The 6 is 60
Step-by-step explanation:
2 is in hundredths place
3 is in thousand place
6 is in tens place
1 is in ones place
hope this helps
what is sixteen minus two point two?
Answer:
13.8
Step-by-step explanation:
16
- 2.2
Answer:
13.8
Step-by-step explanation:
16 - 2.2 is the question.
WE can split this problem up into 2.
16 - 2 and 1 - 0.2.
16 -2 = 14
1 - 0.2 = 0.8
14 - 1 = 13 ( we subtract by 1 because we added one to 16.)
13 + 0.8 = 13.8
PLEASE MARK ME BRAINLIEST!
--------------------------------------------------------------------------------------------
(or the other way)
16 - 2.2
16 - 2 = 14
14 - 0.2 = 13.8
Help find the x I’m struggling and I need help what is X?
SOMEONE HELP ME I MAKE H BRAINLIST
Answer:
0.33 is greater because you can see the box properly and you should be knowledgable
X=7w^2+4w-6
Y=w^2-11w+13
X+Y=
Answer:
X+Y= 8w²–7w +7
Step-by-step explanation:
X+Y= ( 7w²+4w-6 ) + (w²-11w+13)
X+Y= 8w²–7w +7
I hope I helped you^_^
what fraction of a minute is 50 seconds
[tex]\large \mathfrak{Solution : }[/tex]
we know,
[tex]60 \: \: sec = 1 \: \: min[/tex][tex]1 \: \: sec = \dfrac{1}{60} \: \: min[/tex][tex]50 \: \: sec = \dfrac{1}{60} \times 50 \: \: min[/tex][tex]50 \: \: sec = \dfrac{5}{6} \: \: min[/tex]50 seconds is 5/6 th of a minute.
Help!!! What is the area of this??
Answer:
37.44
Step-by-step explanation:
area of rectangle + area of triangle and tada
Calculate the are of each figure
Answer:
186[tex]in^{2}[/tex]
Step-by-step explanation:
27*3=81
15*7=105
105+81=186
-(7-4x)=9
can somebody help me with this, and if you could, can you show work?
Answer:
x=4
Step-by-step explanation:
Simplifying
-1(7 + -4x) = 9
(7 * -1 + -4x * -1) = 9
(-7 + 4x) = 9
Solving
-7 + 4x = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4x = 9 + 7
Combine like terms: -7 + 7 = 0
0 + 4x = 9 + 7
4x = 9 + 7
Combine like terms: 9 + 7 = 16
4x = 16
Divide each side by '4'.
x = 4
Answer:
x = 4
Step-by-step explanation:
-(7 - 4x) = 9 (Given)
-7 + 4x = 9 (Distributed)
-7 + 4x + 7 = 9 + 7 (Add 7 on both sides)
4x = 16 (Simplify)
4x/4 = 16/4 (Divide 4 on both sides)
x = 4 (Simplify)
Plz solve the following with steps (people who just come by without answering the question and taking the points may end up as ban)
Answer:
12) 3/5=534 students
13) 2151 kg
14)a)7.1 US$
b)total=10.2 US$
Step-by-step explanation:
12)students who had lunch=2/5*890
=356 students
students who did not have lunch=5/5-2/5
=3/5*890
=534 students
14)a)4pens=180 cents
2 books=5.3$
total=7.1 US$
b)5 pens=225 cnets
3 books=7.95 US$
total=10.2 US$
10)ate=1 over 8
remaining=8/8-1/8
=7/8
after six hours=7/8*2/5
=7 over 20
total ate=1/8+7/20
=14+5 over 40
=19 over 40
remaining=40 over 40 - 19 over 40
= 21 over 40
to dog=21/40 *1/4
=21 over 160
total=19 over 40 +21 over 160
=152+21 over 160
=173 over 160
Sorry I am stucked from here.
1.2 for each of the following 14 functions list the parent function variety parent equation and describe the transformation
The university of Michigan football stadium can hold 107,601 people. Michigan states football stadium can hold 75,001 people. 51,000 people can fit in the football stadium at the university of North Carolina and 40,004 people can fit in duke universities stadium which is also in North Carolina. How many more people can fit in the stadiums in Michigan combined than in the stadiums in North Carolina combined
Answer:
56,601
Step-by-step explanation:
HELP PLSSS ASAP pls
Answer:
first choice - it is dilated by 1/3
Step-by-step explanation:
write out your triangles points
A (-12,12) A' (4, -4)
B (-3, 12) . B' (1, -4)
C (-9,6) . C' (3, -2)
Write the nth term of the following sequence in terms of the first term of the sequence. PLEASE HELP DUE IN 6 DAYS!!!!!!!
a, a + 4, a +8,...
Answer:
a + 4(n-1)
Step-by-step explanation:
The first term is a+4, the second term is a+8, the third term is a+12, etc.
A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as
4 * (n-1) + a
Janet paid for her prescriptions costing $37.13. She paid with a $50 bill. How much change did Janet get back? (Show your work)
Answer:
$12.87
Step-by-step explanation:
50.00
-37.13
-----------
12.87
What is the Factors of 63
Answer:
Factors of 63 ; 1 , 3 , 7 , 9 , 21 , 63
I hope I helped you^_^
Answer:
1, 3, 7, 9, 21, 63
Step-by-step explanation:
factors of 63 = 1, 3, 7, 9, 21 and 63
Fill in the statement with always,sometimes,or never to make it true
The quotient of a rational number and an irrational number is ____Rational
The difference between a irrational number and an irrational number is ___ irrational
Answer:
Fill in the statement with always,sometimes,or never to make it true
The quotient of a rational number and an irrational number is never Rational.
The difference between a irrational number and an irrational number is sometimes irrational.
~Write 87 tens and 2 ones as a base-ten number.
87 tens and 2 ones as a base-ten number any base 10 number and Divide it by 2. Therefore (87)₁₀ = (1010111)₂
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on.
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on
The tens means multiply by 10..
The tenth means tenth part of that digit which is that digit divided by 10...
we are asked to Write 87 tens and 2 ones as a base-ten number.
Take any base 10 number and Divide it by 2.
Therefore (87)₁₀ = (1010111)₂
Learn more about place value here:
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FIRST CORRECT ANSWER PROVIDING AN EXPLANATION WILL GET BRAINLIEST!!!
Solve the triangle. Round your answers to the nearest tenth.
A. m∠C=63, b=31, c=25.1
B. m∠C=63, b=27, c=26
C. m∠C=63, b=28.1, c=22
D. m∠C=63, b=28.1, c=25.1
9514 1404 393
Answer:
D. m∠C=63, b=28.1, c=25.1
Step-by-step explanation:
The angle sum relation tells you ...
C = 180° -23° -94° = 63°
The law of sines tells you ...
b/sin(B) = a/sin(A)
b = sin(B)·a/sin(A) = sin(94°)·11/sin(23°) ≈ 28.084 ≈ 28.1
Similarly, ...
c = sin(C)·11/sin(23°) = sin(63°)·28.15235 ≈ 25.084 ≈ 25.1
__
C = 63, b = 28.1, c = 25.1
How would I write three times a number plus 5 times a number +4 is 196 as an equation
Answer:
[tex]number = x \\ then \: 3x + 5x + 4 = 196 \\ = 8x + 4 = 196 \\ 8x = 192 \\ x = \frac{192}{8} \\ x = 24 \\ thank \: you[/tex]
six quarts of paint is equally shared among 9 artists. how many quarts of paint does each artist get?
Answer:
2/3 quarts
Step-by-step explanation:
Paint used by 9 artists = 6 quarts
So, paint used by 1 artist if shared equally among the 9 artists
= 6 quarts/9
= 2/3 quarts
= 0.6666...... quarts
Rounding to the nearest hundredth, each artist would get approximately 0.67 quarts of paint.
To determine how many quarts of paint each artist gets when six quarts of paint are equally shared among nine artists, we can divide the total amount of paint by the number of artists. 6 quarts ÷ 9 artists = 0.6667 quarts per artist
To "equally share" means to divide or distribute something equally among a group of individuals or entities. It implies that each person or entity involved receives an equal portion or share of the item being distributed. This division ensures fairness and equal opportunities for everyone involved. The goal is to ensure that each recipient receives an equal amount or proportion of the item being shared.
To know more about artists , here
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Rates 13 feet in 5 steps
Answer:
[tex]2.6\frac{feet}{step}[/tex] or 2.6 ft/step
Step-by-step explanation:
In order to find the average number of feet traveled per step, divide the total number of feet traveled by the total number of steps taken:
[tex]\frac{13 feet}{5 steps}=\frac{13}{5}\frac{feet}{step}=2.6\frac{feet}{step}[/tex]
Therefore, for each step taken 2.6 feet are traveled (on average). We can say this as 2.6 feet per step or 2.6 ft/step.
What is 52,236 in standard form?
Answer:
5.2236 X 10^4
Step-by-step explanation:
52,236 in standard form is 5.2236 X 10^4
Solve the equation. x + (–6) = –9
Answer:
-3
Step-by-step explanation:
9514 1404 393
Answer:
x = -3
Step-by-step explanation:
Undo the addition of -6 by adding the opposite of that to both sides of the equation.
x + (-6) +(+6) = (-9) +(+6)
x -6 +6 = -9 +6
x = -3
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Kane's Furniture Store advertised a table at a 11% discount. The original selling price was $111, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. No, the sale price was s higher than it should have been
(Round to the nearest cent.)
OB. No, the sale price was $ lower than it should have been
(Round to the nearest cent.)
OC. Yes, the sale price was consistent with the ad, because it represents a 11% discount.
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Answer:
A. No, the sale price was 1.21 higher than it should have been
Step-by-step explanation:
First find the discount
111 * 11%
111 * .11
12.21
Subtract this from 111
111-12.21
98.79
The sale price should have been 98.79
100-98.79
1.21
11/12x = -11 pls help
Answer:
=
−
1
2
Step-by-step explanation:
1
1
1
2
=
−
1
1
\frac{11x}{12}=-11
1211x=−11
1
2
⋅
1
1
1
2
=
1
2
(
−
1
1
)
4. -7 = 3k - 3-7
this one to please lol
Answer:
7/3 =k
Step-by-step explanation:
4. -7 = 3k - 3-7
Combine like terms
-3 = 3k-10
Add 10 to each side
-3+10 = 3k-10+10
7 = 3k
Divide each side by 3
7/3 = 3k/3
7/3 =k
Answer:
7/3
Step-by-step explanation:
4 - 7 = 3k - 3-7
=> -3 = 3k - 10
=> -3 + 10 = 3k
=> 7 = 3k
=> 7/3 = k
=> k = 7/3
9.8 less than the product of 37 and t
Answer:
37t-9.8
hope it helps!!!!!!