Answer: 48.75
Step-by-step explanation: 65 x 0.25 = 16.25, 65 - 16.25 = 48.75
48.75, I hate this part of math too bud.
An interior designer is redecorating a room that is 26 feet long by 18 feet wide by 9 feet high. At one end of the room is a door that is 6 feet 6 inches high and 4 feet wide. One of the walls contains 2 windows, each of which is 2 feet wide by 2 feet 6 inches high.
A: How much will it cost to carpet the floor if the carpet sells for $18.00 a square yard? $
B: How much will it cost to wallpaper all four walls if wallpaper costs $0.75 per square foot? $
C: How much will it cost to paint the ceiling using paint that sells for $25 per gallon if a quart of paint will cover 88 square feet? $
D: What will be the cost of the entire project? $
Answer: A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
Step-by-step explanation:
To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.
Given dimensions:
Room length: 26 feet
Room width: 18 feet
Room height: 9 feet
Door dimensions:
Height: 6 feet 6 inches
Width: 4 feet
Window dimensions (each):
Width: 2 feet
Height: 2 feet 6 inches
A: Carpeting the floor:
To find the area of the floor, we multiply the length and width of the room:
Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.
To convert to square yards (since the carpet is sold per square yard), we divide by 9:
Floor area in square yards = 468 square feet / 9 = 52 square yards.
Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.
B: Wallpapering the walls:
To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:
Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.
Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.
C: Painting the ceiling:
To find the area of the ceiling, we multiply the length and width of the room:
Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.
Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:
Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.
Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.
Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.
D: Cost of the entire project:
Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling
= $936.00 + $297.00 + $33.25 = $1266.25.
Therefore:
A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
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Jazmine buys 12 pencil erasers. each costs $0.85. How much does Jazmine spend on the erasers before tax? *
Answer:
Multiply them together on a calculator
12 x 0.85
My brother is borrowing my calculator so i dont have mine
Step-by-step explanation:
Hope that helped
Answer:
$10.20
Step-by-step explanation:
Two functions are by f(x)=3x+18(x)= 2 x1. Find (g.f) (x).
The (g.f)(x) of the two functions is:
(g.f) (x) = 6x + 37
How to find (g.f)(x) of the two functions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
To find (g.f) (x), follow the steps below:
1. Substitute the value of f(x) into the function g(x).
2. Then simplify the expression.
That is:
f(x) = 3x+18
g(x) = 2x+1
Thus, we have:
(g.f) (x) = g(f(x))
(g.f) (x) = g(3x+18)
(g.f) (x) = 2(3x+18) + 1
(g.f) (x) = 6x+36 + 1
(g.f) (x) = 6x + 37
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Question In △XYZ, A is the midpoint of XY¯¯¯¯¯¯¯¯, B is the midpoint of YZ¯¯¯¯¯¯¯, and C is the midpoint of XZ¯¯¯¯¯¯¯¯. AC = 7, AB = 5, and XY = 24. What is the perimeter of △XYZ? Enter your answer in the box. Perimeter = units
The perimeter of triangle XYZ is 48 units
What is the perimeter of a triangle?
The total of a triangle's sides equals the triangle's perimeter. The space encircled by a triangle's three sides is known as its area.
Here, we have
In The triangle XYZ
A is the midpoint of XY
B is the midpoint of YZ
AB = 1/2 XZ
AB = 5 units
Substitute the value of XZ in AB
5 = 1/2 × XZ
XZ = 10 units
B is the midpoint of YZ
C is the midpoint of XZ
BC = 1/2 XY
XY = 24 units
BC = 1/2 × 24 = 12 units
A is the midpoint of XY
C is the midpoint of XZ
AC = 1/2 YZ
AC = 7
7 = 1/2 YZ
YZ = 14
The perimeter of a triangle = the sum of the lengths of its sides
Perimeter ΔXYZ = XY + YZ + ZX
Perimeter ΔXYZ = 24 + 14 + 10
Hence, the perimeter of triangle XYZ is 48 units
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Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
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The sum of the two rational equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).
How to simplify the addition between two rational equations
In this question we must use algebra definitions and theorems to simplify the addition of two rational equations into a single rational equation. Now we proceed to show the procedure of solution in detail:
(n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given(n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse[3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator(3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / ResultTo learn more on rational equations: https://brainly.com/question/20850120
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if a(x) = 3x+1 and b(x) = \(square root of x-4\), what is the domain of (boa)(x)
The domain of (boa)(x) is [1, ∞].
What is a domain?In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.
Based on the information provided above, we have the following functions:
a(x) = 3x+1
\(b(x) = \sqrt{x-4}\)
Therefore, the composite function (boa)(x) is given by;
\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)
By critically observing the graph shown in the image attached below, we can logically deduce the following domain:
Domain = [1, ∞] or {x|x ≥ 1}.
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simplify 2(f^4)^2f^3 divided by 6f^9
2(f^4)^2f3 divided by 6f² is simplified to give 2/ 3 f^2
How to simplify the expression
Given the expression;
2(f^4)^2f^3 divided by 6f^9
We have to expand the expression:
= \(\frac{2f^4 * 2f^3}{6f^9}\)
Find the common factor, we get:
= \(\frac{2 * 2 }{6f^2}\)
Multiply the numerator
= \(\frac{4}{6f^2}\)
Let's divide through to get simpler terms
= \(\frac{2}{3f^2}\)
= 2/ 3 f^2
Thus, 2(f^4)^2f^3 divided by 6f^9 is simplified to give 2/ 3 f^2
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f(a)=-3a-5; Find ƒ(-7)
Step-by-step explanation:
the answer is attached
hope it helps
Which choice is equivalent to 4 square root 8
Answer:
A
Step-by-step explanation:
............................ ....
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 7.5%, and the tax in the second city was 5%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?
The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.
Let x be the hotel charge before tax in the first city, and y be the hotel charge before tax in the second city. Then we have:
y = x + 1500 (the hotel charge before tax in the second city was $1500 higher than in the first)
0.075x + 0.05y = 825 (the total hotel tax paid for the two cities was $825)
We can use the first equation to solve for y in terms of x:
y = x + 1500
Then we can substitute this expression for y into the second equation:
0.075x + 0.05(x + 1500) = 825
Simplifying this equation, we get:
0.075x + 0.05x + 75 = 825
0.125x = 750
x = 6000
So the hotel charge before tax in the first city was $6000. Using the first equation, we can find the hotel charge before tax in the second city:
y = x + 1500
y = 6000 + 1500
y = 7500
So the hotel charge before tax in the second city was $7500.
Therefore, the answer is: The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.
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Find the missing length indicated:
8
4
2
10
The missing length is 6.
How do we calculate?8
4
2
10
From the numbers shown above, it is found that the difference from one length to the other is 2.
Therefore, the missing length is 6.
Length is described as a measure of distance.
In the International System of Quantities, length is also a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived.
In conclusion, the base unit for length is the meter in the International System of Units system the base unit for length is the meter.
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A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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solve the exponential equation for x. 2^9x+2 = 16^5x-2
The value of is 2/11
How to determine the valueTo determine the value, we have;
Index forms are mathematical forms used to represent numbers or values that are too large or too small in more convenient forms.
From the information given, we have the expression written as;
2⁹ˣ+2 = 16⁵ˣ -2
Put all the terms in one base form, we have;
2⁹ˣ + 2¹ = 2²⁰ˣ - 2¹
equate the exponents, we have;
9x + 1 = 20x - 1
collect the like terms, we have;
9x - 20x = -2
-11x = -2
Make 'x' the subject of formula, we have;
x = 2/11
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The expression (g^2)^4 is equivalent to g^m. What is the value of m?
^ means exponents
Answer:
m = 8
Step-by-step explanation:
4 x 2
you just have to multiply exponents
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You ask the students in class two questions. Which question is statistical and which is non-statistical? Explain.
What time does the first period begin?
What time do you leave home to go to school?
Answer:
the first is non-statistical and the second one is statistical
Step-by-step explanation:
when it is statistical it is asking in general (like a yes or no question) and when it's non-statistical it is asking something specific.
Solve the following inequality algebraically.
x + 2 >\ 13
X+2 is greater than 13
Answer:
\(x > 11\)
Step-by-step explanation:
Greetings!!
Given equation
\(x + 2 > 13\)
subtract 2 from both sides
\(x + 2 - 2 > 13 - 2\)
simplify
\(x > 11\)
\(solution \: \: x > 11 \\ interval \: notation \: (11, \infty )\)
Hope it helps!!
Picture explains it all
Answer: .1$ so 10cents
Step-by-step explanation:
If a cube has volume 125cm³, find the height of the cube.
Answer:
height = 5 cm
Step-by-step explanation:
a cube has congruent sides (s)
the volume (V) of a cube is calculated as
V = s³
given V = 125 , then
s³ = 125 ( take cube root of both sides )
\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)
s = 5
then height = 5 cm
factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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10) y=x² - 6x +6; [0, 5]A) No absolute minima.No absolute maxima.B) Absolute minimum: (3,-3)Absolute maximum: (5, 1)C) Absolute minimum: (3, -3)Absolute maximum: (0, 6)D) Absolute minimum: (3, -3)No absolute maxima.
EXPLANATION
Given the function:
\(y=x^2-6x\text{ +6;\lbrack{}0,5\rbrack}\)We can see that it has an Absolute minimum in (3,-3) and No absolute maximum.
What would be the answer !!!
Answer:
43/52
Step-by-step explanation:
The total number of male is 52 according to the table, 43 are righthanded also according to the table so there you go.
Answer:
43/100
Step-by-step explanation:
the total number of people is 100. the number people will be right handed given that they are a male is 43 the probability 43/100
Contact Info
need more help add me on discord reseller#0001
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tan(x+y)=x. (2 3) , what is dy/dx
Answer:
0/0
Step-by-step explanation:
Unsure, used a calculator to help
PLZZZZ HELPPP MEE!!!!!
Answer:
-60
Explanation:
6x(2x-5) always do what's in the parentheses first
6x(-10)
= -60
4X to the power of four minus 3X to the power of 3+ 6X -10 divided by X plus one
The function [4x⁻⁴ - 3x ³ + 6x -10]/ x +1 is described accordingly.
What is the description of the above function?The graph of the function [4x⁻⁴ - 3x³ + 6x - 10]/(x + 1) represents a rational function.
It may exhibit vertical asymptotes at x = -1, where the function approaches infinity or negative infinity.
The graph can also have x-intercepts and may show different behavior based on the values of x.
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Full question
Describe the [4x⁻⁴ - 3x ³ + 6x -10]/ x +1
When graphing the function f(x)=x^2-81/x^2-11x 18 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?
An appropriate viewing rectangle is the set of minimum and maximum values of x and y on which all important attributes of the graph are clearly displayed.
We have been given a rational function:
\(f(x)=\frac{x^{2} -81}{x^{2} -11x+18}\)
And we are required to determine an appropriate viewing rectangle for the graphing calculator.
Hence, An appropriate viewing rectangle is the set of minimum and maximum values of x and y on which all important attributes of the graph are clearly displayed.
For the given function, an appropriate viewing rectangle will be [-20,20,2] by [-20,20,2].
This function, when graphed using a graphing calculator on the said viewing rectangle, it appears as attached.
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Mrs. Barnes recorded the grades her students earned on the last chapter test in the frequency table below. The frequency table will be used to make a histogram
Test Score
Number of Students
31 - 40
1
41 - 50
2
51 - 60
4
61 - 70
6
71 - 80
11
81 - 90
5
91 - 100
4
Which chart has the correct setup for Mrs. Barnes’ histogram?
Group of answer choices
A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 7, 0 to 12, test scores, number of students.
A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 10, 31 to 100, number of students, test scores.
A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 10, 0 to 12, number of students, test scores.
A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 7, 31 to 100, test scores, number of students.
A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, the vertical axis represents, the horizontal axis represents. Column 2 has entries 10, 0 to 12, the number of students, and test scores is the correct setup for Mrs. Barnes’ histogram.
What is a Histogram?The graphic representation of data points arranged into user-specified ranges is called a histogram. The histogram, which resembles a bar graph in appearance, condenses a data series into an intuitive visual by collecting numerous data points and organizing them into logical ranges or bins.
Given Mrs. Barnes recorded the grades her students earned on the last chapter test in the frequency table below,
Class number of students
31 40 1
41 50 2
51 60 4
61 70 6
71 80 11
81 90 5
91 100 4
from data,
Column 1 Column 2
Interval 10
appropriate scale 0 - 12
the vertical axis represents, the number of students
the horizontal axis represents the Test Score
histogram for the data is attached,
A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, the vertical axis represents, the horizontal axis represents. Column 2 has entries 10, 0 to 12, the number of students, and test scores.
Hence option C is correct.
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Everett is 6 ft in tall and casts a shadow 10 ft long. A flag pole next to him casts a shadow of 19 ft. How tall is the flag pole?
Answer:
31.7ft
Step-by-step explanation:
height of object /length of shadow
6/10=19/x
190=6x
x=31.666666666
Rewrite, using the distributive
property.
5(2x – 3y) = [?]x-[ ]y
help quick
142 is what percent of 596?
(Write your answer as a percent rounded to the nearest tenth of a percent. Include the % on your answer.)
Answer:
23.8%
Step-by-step explanation:
Step 1: Divide 142 by 596;
The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:
142/596 = 142 ÷ 596 = 0.23825503355705
Step 2: Multiply 0.23825503355705 by 100
The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:
0.23825503355705 × 100 = 23.83
Step 3: Round 23.83 to the nearest tenth
To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.
23.83 rounded to the nearest tenth = 23.8%