Answer:
r = -4
Step-by-step explanation:
-2 - 5r = 18
+2 +2
––––––––
-5r = 20
/5 /5
––––––
-r = 4
/-1 /-1
–––––
r = -4
A certain company’s charges for tiling a rectangular room include the cost of the material used and a flat rate for installation. The length of a certain room is 2 feet more than its width, and the company’s charges, in dollars, for tiling the room are 12.5x(x+2) + 400.
Match each part of this expression with what it represents in this context.
Available Responses:
the width, in feet, of the room
the length, in feet, of the room
the area, in square feet, of the room
the cost, in dollars, for tile per square foot
the amount of materials needed to cover the room's floor
the flat rate, in dollars, the company charges for installation
12.5 represents ______
x(x+2) represents _______
400 represents _______
Answer:
12.5- the cost, in dollars, for tile per square foot
x(x+2)- the area, in square feet, of the room
400- the flat rate, in dollars, the company charges for installation
The length and width of the rectangular room is L = x feet , W = ( x + 2 ) feet
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular room be A
Now , the length of the room L = x feet
And , length of a certain room is 2 feet more than its width
The width of the room W = ( x + 2 ) feet
The total charge for tiling the room C = 12.5 x ( x + 2 ) + 400
Now , the area of the rectangular room A = x ( x + 2 ) feet²
So , the width, in feet, of the room = ( x + 2 ) feet
The length, in feet, of the room = x feet
The area, in square feet, of the room = x ( x + 2 ) feet²
The cost, in dollars, for tile per square foot = $ 12.50
The amount of materials needed to cover the room's floor = 12.5 x ( x + 2 )
The flat rate, in dollars, the company charges for installation = $ 400
Hence , the expressions are solved and the area of rectangle is x ( x + 2 ) feet²
To learn more about area of rectangle click :
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help me please:) will very much appreciate it
Helpppppppp with Tuesday question 1 pleaseeeeeee
Answer:
k = 2.8
Step-by-step explanation:
Subtract 3.9 from both sides of the equation
k + 3.9 = 6.7
k + 3.9 - 3.9 = 6.7 - 3.9
k = 3.9 - 6.7
k = 2.8
Students in a reading class have three options for their book project: making a brochure, writing a news article, or designing a computer presentation.
Answer:
4
6
10
Please give me brainliest, I really need it.
a) Work out
16.3-4.97 + 8.6
(2)
I
b) Work out
2164.89 +7
(2)
Answer:
a)19.93 b)2171.89
Step-by-step explanation:
a) As there are no brackets first do the equation
16.3-4.97 which is 11.33
then you add 8.6 onto that which is 19.93
b)2.164.89+7=2171.89
Find this in the graph g(-4) =
Answer:
g(-4) = 1
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)Function NotationStep-by-step explanation:
What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.
∴ g(-4) = 1
The perimeter of a triangle is 38 feet. One side of the triangle is 4 feet shorter than the second side. The third side is 6 feet longer than the second side. Find the length of each side.
Answer:
First side, a = 8 ft.
Second side = 12 ft.
Third side, c = 18 ft.
Step-by-step explanation:
Let the sides of the triangle be a, b and c respectively.
Given the following data;
Perimeter = 38ft
First side, a = b - 4
Third side, c = b + 4
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
P = a + b + c
Substituting into the equation, we have;
38 = (b - 4) + b + (b + 6)
38 = 3b + 2
3b = 38 - 2
3b = 36
b = 36/3
b = 12ft
To find the first side, a;
a = b - 4
a = 12 - 4
a = 8ft.
To find the third side, c
c = b + 6
c = 12 + 6
c = 18 ft.
A radioactive substance decays at a continuous rate of 12% per year, and 90 mg of the substance is present in the year 2000. (a) Write a formula for the amount present, A (in mg), t years after 2000. MathPAD Response msnViewer_resp_str_c04q_go_2_006_1_svg ViewEdit (b) How much will be present in the year 2010
Answer:
A(t) = 90e^0.12t ;
299 mg
Step-by-step explanation:
General Continous growth rate equation :
A = Pe^rt
A = amount present, t years after year of initial amount.
Here,
P = 90 mg, amount in year 2000
r = rate = 12% = 0.12
t = years after 2000
Therefore,
A is written as ;
A(t) = 90e^0.12t
Amount present in year 2010 ;
t = 2010 - 2000 = 10
A(10) = 90e^0.12(10)
A(10) = 90 * e^1.2
= 90 * 3.3201169
= 298.81052
= 299 mg
When Sam's little brother was born, he was 18 inches tall. Each year, he grows an average of 3 inches.
Pepper Jackie decides her map of the youth center is too small.
She draws a new map of the youth center that is 3 times larger.
What is the scale of the new map?
Answer:
the scale factor is 3.
Answer:
The scale factor is 3.
an aquarium has a length of 7/2 feet, a width of 4/3 feet and a height of 3/2 feet. what is the volume of the aquariam
Answer:
7
Step-by-step explanation:
V = l x w x h
=7/2 x 4/3 x 3/2
=84/12
=7 feet cubed
Nathan is going to invest in an account paying an interest rate of 6% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $1,200 in 8 years?
Answer:
731.48
Step-by-step explanation:
you take 6 percent form 100 percent with give 94 percent
then you times 1200 by 94 percent 8 times to get awnser
Answer:700
Step-by-step explanation:
Factor completely 5x^2 - 13x - 6.
A) (5x + 2)(x - 3)
B) (5x - 2)(x + 3)
C) (5x - 3)(x + 2)
D)(5x + 3)(x - 2)
Answer:
A) (5x+2)(x-3)
Step-by-step explanation:
step 1: 5x^2 + 2x - 15x - 6
step 2: x(5x+2)-3(5x+2)
step 3: (5x+2)(x-3)
Answer:
Step-by-step explanation:
(5x + 2)(x - 3)
answer is A
Question 5 of 20
Which of the following triangles are right triangles? Check all that apply.
A. A triangle with side lengths 8, 15, 17
B. A triangle with side lengths 9, 12, 15
C. A triangle with side lengths 5, 12, 13
D. A triangle with side lengths 6 inches, 8 inches, 12 inches
Answer:
B. A triangle with side lengths 9 12 15
Step-by-step explanation:
9/3= 3
12/3= 4
15/3 = 5
A perfect right triangle is 3, 4, 5.
Order 4/5, 1/4, 6/8, 5/9 from least to greatest
Answer:
1/4,5/9,6/8,4/5
Step-by-step explanation:
What are the coordinates of the image of point T(2,4) over the transformation D(1/2,R), where R(6,-2) is the center. X= ? Y= ?
9514 1404 393
Answer:
T'(4, 1)
Step-by-step explanation:
The dilation transformation around a center not the origin is ...
T' = k(T -R) +R . . . . for dilation factor k and center R
This can be simplified to ...
T' = 1/2T -1/2R +R = 1/2T +1/2R = (T +R)/2
Using the given point values, we find the image point to be ...
T' = ((2, 4) +(6, -2))/2 = (8, 2)/2 = (4, 1)
The image point is T'(4, 1).
Write the equation of the line of reflection in the following picture
Answer:
it is reflected in the x-axis so y=0
Caroline borrowed 300,000 from the bank in order to buy a house. If the simple interest RATE that the bank charged her was 3.5%, and she ended up paying the bank back a total of $615,000 (principal and interest total), how long (in years) did it take her to pay back the loan?
Answer:
915'000.+123=915,123
1.Write an equation that models the following verbal statement and show/explain how you know your translation is correct.
Five less than four times a number is equal to three times the number.
2. Alejandra stayed 3 nights in a hotel for a total of $254.91. If each night was the same price, what did Alejandra pay per night? Show your thinking, use units to label your answer!
Answer:
Step-by-step explanation:
4x-5 = 3x
f(x) =
=
Find f'(x) and f''(x).
+
EL
ALEHER
24
) (
f''(x) = {
Epe
To make things easier, first rewrite
f(x) = x / (x + 7/x) = x ² / (x ² + 7)
i.e. multiply f by x/x, which is valid because x can't be 0 anyway as it's outside the domain of f.
Now, by the quotient and chain rules, we get
f '(x) = ((x ² + 7) (x ²)' - x ² (x ² + 7)') / (x ² + 7)²
… = (2x (x ² + 7) - x ² (2x)) / (x ² + 7)²
… = (2x ³ + 14x - 2x ³) / (x ² + 7)²
… = 14x / (x ² + 7)²
f ''(x) = ((x ² + 7)² (14x)' - (14x) ((x ² + 7)²)') / ((x ² + 7)²)²
… = (14 (x ² + 7)² - (14x) (2 (x ² + 7)² (x ² + 7)')) / (x ² + 7)⁴
… = (14 (x ² + 7)² - (14x) (2 (2x) (x ² + 7)²)) / (x ² + 7)⁴
… = (14 (x ² + 7)² - 4x (14x) (x ² + 7)²) / (x ² + 7)⁴
… = 14 (x ² + 7)² (1 - 4x) / (x ² + 7)⁴
… = 14 (1 - 4x) / (x ² + 7)²
… = (14 - 56x) / (x ² + 7)²
can someone please help me with this. i will give you brainliest
Answer: I want to say it is the second one, but i'm not to sure.
Step-by-step explanation:
PLS HELP!!
The corresponding sides of triangles ABC and DEF are congruent. Which statements are always true for triangles ABC and DEF? Select all that apply.
A.) There is a sequence of rigid motions that carries ABC to triangle DEF.
B.) triangles ABC and DEF are congruent by side-side-side.
C.) triangles ABC and DEF are both equilateral triangle‘s by side-side-side.
Answer:
A and B are true
Step-by-step explanation:
Find the volume of the rectangular prism. 4 in 3 [in 4 in 4 in
Answer:
12
Step-by-step explanation:
What can be said about a set of data with a standard deviation of 0? (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) Choose the correct answer below. A. All the observations are the same value. B. All the observations are 0. C. For every positive value, there is a corresponding negative value (as in 4 and −4; 6 and −6).
Answer:
A.) All the observations are the same value
Step-by-step explanation:
One of the statistical measures used to determine the spread or variability of a dataset is the variance or standard deviation. The standard deviation determines how a set of value varies about the mean value.
Mathematically,
Variability or spread = mean + number of standard deviations
Hence, a standard deviation of 0 ; means they there is no variability in the dataset. Hence, a standard deviation of 0 means all observations are of the same value.
For a set of data with a standard deviation of 0, the correct option is:
A: "All the observations are the same value."
What is the standard deviation?
For a given set {x₁, x₂, ...} with N elements.
With a mean M, we define the standard deviation as:
[tex]S= \sqrt{\frac{\sum (x_i - M)^2}{N - 1} }[/tex]
Notice that, because we have a squared element in the sum, all the elements of the sum are positive. So if we have a single value of the set that is different than the mean, then the standard deviation will be larger than zero.
Then the only case where the standard deviation is zero is the case where all the elements of the set are equal to the mean of the set, and that only happens if all the elements of the set are equal.
So the correct option is A:
"All the observations are the same value. "
If you want to learn more about standard deviation, you can read:
https://brainly.com/question/15858152
simplify
square roots.
Answer:
zy^5
Step-by-step explanation:
What is the answer? I really need it.
Answer:
B
Step-by-step explanation:
Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh? whats the equation not the answer
5×3=15
17+15=32
Step-by-step explanation:
3÷17=15
15+5=20
Answer:
Step-by-step explanation:
Explain 5 different ways you use Math in your everyday life.
This is a telpas thing btw
Answer:
School, Looking at what episode of anime I am on, Looking at the time, Looking at my calendar, and another is when I am doing brain teasers!
Step-by-step explanation:
Does this count?
Answer:
Time deltas
Step-by-step explanation:
What is the value (m2h6w4)3
Answer:
The answer is 144 mhw
Answer:
[tex]3m^{2} 3h^{6}3w^{4}[/tex]
Step-by-step explanation:
[tex]3(m^{2} h^{6}w^{4})\\3m^{2} 3h^{6}3w^{4}[/tex]
If the dimension in a room is 10 ft by 20 ft what’s the approximate in square meters
18.58
May Nilbin Be With You
Answer:
60.96 meters
Step-by-step explanation:
Multiply 10 by 20, multiply that answer by 0.3048