To determine the cost of carpeting the room, we first need to calculate the area of the room that needs to be carpeted.
The area of the room is:
A = l × w
A = 6 m × 4 m
A = 24 square meters
Next, we need to determine the area of the carpet required. Since the carpet has a width of 1.5 m, we can think of the room as being covered by a series of strips of carpet, each of width 1.5 m. We need to calculate the length of each strip and then multiply that by the width of the carpet.
The length of each strip is equal to the length of the room, which is 6 m. So, the area of each strip of carpet is:
A_strip = l × w_carpet
A_strip = 6 m × 1.5 m
A_strip = 9 square meters
To cover the entire room, we will need to use several strips of carpet. The number of strips required is the total area of the room divided by the area of each strip:
Number of strips = A / A_strip
Number of strips = 24 square meters / 9 square meters
Number of strips = 2.6667 strips
Since we cannot use a fractional number of strips, we will need to round up to 3 strips of carpet.
The total area of carpet required is the area of each strip multiplied by the number of strips:
Total area of carpet = A_strip × Number of strips
Total area of carpet = 9 square meters × 3
Total area of carpet = 27 square meters
Finally, we can calculate the cost of carpeting the room at the given rate of rupees 200 per meter:
Cost of carpeting = Total area of carpet × Cost per meter
Cost of carpeting = 27 square meters × Rs. 200 per meter
Cost of carpeting = Rs. 5,400
Therefore, the cost of carpeting the rectangular room of 6 m long and 4 m wide with the carpet of width 1.5 m at rupees 200 per meter would be Rs. 5,400.
Find the value of x.
33
30°
x =
. A bread recipe calls for 3/4 cup rye flour, 2/4 cup wheat flour,
and ¾ cup white flour. How much flour is in the bread? Show
your work
Answer:
2 cups of flour
Step-by-step explanation:
We want to find the total amount of flour, which means we need to add.
3/4 + 2/4 + 3/4 =
8/4
We can simplify this term.
8/4 =2
2 cups of flour
Answer:
2 cups of flour
Step-by-step explanation:
A bread recipe has,
3/4 cup of rye flour
2/4 cup of wheat flour
3/4 cup of white flour
So, to find the total amount of flour, add all the given fractions together.
[tex]\sf Total\: amount\: of\: flour = rye \:flour + wheat\: flour + white \:flour\\\\\sf Total\: amount\: of\: flour =\frac{3}{4} +\frac{2}{4} +\frac{3}{4} \\\\\sf Total\: amount\: of\: flour =\frac{3+2+3}{4} \\\\\sf Total\: amount\: of\: flour =\frac{8}{4} \\\\\sf Total\: amount\: of\: flour =2 \:cups[/tex]
ACT/SAT A passenger in a hot-air balloon spots a small fire on the ground. The angle of depression to the fire is 30°, and the height of the hot-air balloon is 150 feet. To the nearest foot, what is the horizontal distance from the hot-air balloon to the fire?
Step-by-step explanation:
law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
a,b,c being the sides of the triangle, A, B, C are the corresponding opposite angles in the triangle.
the angle of depression is the external angle of the triangle vertex at the balloon. that means the internal angle is 60°, as both together must be 90° (the angle between the height of the balloon and the horizontal line at the balloon).
the angles at the ground at the fire are mirrored : the internal angle there is 30°, the external angle is 60°.
and so,
height/sin(30) = 150/0.5 = distance/sin(60)
distance = sin(60)×150/0.5 = sin(60)×300 =
= 259.8076211... ft ≈ 260 ft
pls help, 50 points for answer!!! (statistics)
Answer:
Step-by-step explanation:
just listen to your teacher and you will be good at subjects
Choose the correct simplification of the expression −5x2(4x − 6x2 − 3).
30x4 − 20x3 + 15x2
−11x4 − x3 − 8x2
−30x4 + 20x3 − 15x2
30x4 + 20x3 + 15x2
Answer:
first option (30x4 − 20x3 + 15x2)
Suppose a State of California bond will pay $1,000 eight years from now. If the going interest
rate on these 8-year bonds is 4.5%, how much is the bond worth today?
a. $682.09
b. $597.71
c. $703.19
d. $829.76
e. $675.06
Answer:
a. $682.09
Step-by-step explanation:
We can use the present value formula to find the value of the bond today:
PV = FV / (1 + r)^n
where PV is the present value, FV is the future value, r is the interest rate, and n is the number of periods.
Substituting the given values, we get:
PV = 1000 / (1 + 0.045)^8 = $682.09
Therefore, the bond is worth $682.09 today, which is option (a).
The slope of a line is given by the formula:
horizontal change
m
vertical change
True
False
False.
The slope of a line is given by the formula:
m = (change in y) / (change in x)
where "change in y" represents the vertical change and "change in x" represents the horizontal change between two points on the line.
Find the slope of the following line:
y=−7x−6
Answer: -7
Step-by-step explanation:
in the linear equation, y=mx+b, m represents the slope of the line, so when looking at an equation the best way to find the slope is to find where the m variable would be
I need help with this math problem. It’s from the course “Apply Math”.
Therefore , the solution of the given problem of probability comes out to be there is a 0.66 percent chance that an arbitrarily chosen student will be either male or left-handed.
What precisely is probability?Each of the procedure's criteria-based methods have as their main objective determining the likelihood that a statement is accurate or that an event will take place. Any number from zero to one, where 0 typically represents percentage and 1 typically reflects degree of certainty, can be used to symbolize chance. A probability illustration shows the likelihood that a particular occurrence will occur.
Here,
A student's likelihood of being masculine is 0.6, and their likelihood of being left-handed is 0.1. It is stated that there is a 0.04 percent chance that a pupil is both male and left-handed.
Using the formula for the probability of the union of two events, we can determine the likelihood that an arbitrarily chosen student is either male or left-handed:
=> P(left-handed or male) = P(male) - P(left-handed)(male and left-handed)
Inputting the numbers provided yields:
=> Male or left-handed P(male) = 0.6 + 0.1 - 0.04 P(male) = 0.66
Therefore, there is a 0.66 percent chance that an arbitrarily chosen student will be either male or left-handed.
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Use the method of Lagrange multipliers to find the dimensions of the least expensive packing crate with a volume of 240 cubic feet when the material for the top costs $2 per square foot, the bottom is $3 per square foot and the sides are $1.50 per square foot.
Answer:
a hard one
Step-by-step explanation:
Rewrite in simplest terms: − 8 ( 0.9w + 6w − 0.7 ) − 0.3w
Step-by-step explanation:
do brackets first (0.9w+6w-0.7) = 6.9w-0.7
-8+6.9w-0.7-0.3w
-8-0.7=-8.7
6.9w-0.3w=6.6w
=6.6w-8.7 I think
Does anyone know this answer??
Answer:
d ≈ 546 m
Step-by-step explanation:
using the sine ratio in the right triangle
sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{313}{d}[/tex] ( multiply both sides by d )
d × sin35° = 313 ( divide both sides by sin35° )
d = [tex]\frac{313}{sin35}[/tex] ≈ 546 m ( to the nearest whole number )
Give a solution to 3x+7y=11 as an ordered pair, (x,y)
After solving the given equation 3x+7y=11 we know that (A) (6, -1) lies on the graph of the given equation.
What is an equation?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2.
A noun that counts.
When two or more components must be taken into account collectively in order to comprehend or describe the overall situation, this is known as an equation.
So, we are asked to identify the point on its graph.
(6, -1)
Adding "x=6" and "y=-1"
3x+7y=3×6+7×(-1)
= 18-7
= 11
Thus, on the graph of 3x+7y=11, (6, -1) is located.
(1,-2)
X = 1 and Y = -2
3x+7y=3×1+7×(-2)
= 3-14
= -11
As a result, the graph of 3x+7y=11 does not contain (1, -2)
(0,-4)
X = 0 and Y = -4
3x+7y=3×0+7×(-4)
= -28
Hence, the graph of 3x+7y=11 does not contain (0, -4)
(0,4)
By setting x=0 and y=4,
3x+7y=3×0+7×4
= 28
In light of this, the graph of 3x+7y=11 does not contain (0, 4)
Therefore, after solving the given equation 3x+7y=11 we know that (A) (6, -1) lies on the graph of the given equation.
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Complete question:
Which ordered pair is on the graph of equation 3x+7y=11?
a. (6,-1)
b. (1,-2)
c. (0,-4)
d. (0,4)
EXACTLY how big is your dictionary?
QUICKLY!!!!!!!!!!!!!!!!!
Answer:
960 pages
Step-by-step explanation:
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1. [-/1 Points]
DETAILS
HARMATHAP12 6.3.005.
Find the future value of an annuity of $1300 paid at the end of each year for 10 years, if interest is earned at a rate of 5%, compounded annually. (Round your answer to the
nearest cent.)
$
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show working of how many are needed to fill two jars if a cup holds 1/4 of a jar
To fill two jars, we need eight cups, as one jar requires four cups, and we are filling up two jars.
If a cup holds 1/4 of a jar, then it would take 4 cups to fill one jar.
To fill two jars, we need to multiply the number of cups required to fill one jar by 2:
4 cups x 2 = 8 cups
Therefore, we need 8 cups to fill two jars.
To understand this concept visually, imagine a jar divided into four equal parts, and each part representing a cup. When you fill up one part or cup, you have filled up 1/4 of the jar. Similarly, when you fill up all four cups, you have filled up one full jar. Therefore, it would take four cups to fill up one jar.
If we want to fill two jars, we would need to repeat the process of filling up four cups for each jar, which would give us a total of eight cups for two jars.
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Rewrite each equation without absolute value for the given conditions.
y = |x-3| + |x +2|-|x - 5| if 3
The equation obtained without the absolute value for given function
y = |x-3| + |x +2|-|x - 5| is y = 2.
Explain about the absolute value?Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Have a look at these samples.
5 is the sum of its absolute values. There are 5 units between 5 and 0.5 is -5's absolute value. There are 5 units between -5 and 0.2 + (-7) equals 5 in absolute terms. The resultant point on a number line is 5 units away from zero when depicting the addition.The given equation:
y = |x-3| + |x +2|-|x - 5|
For x = 3
y = |3-3| + |3+2|-|3 - 5|
y = 0 + |5| - |-3|
Without absolute values:
y = 5 - 3
y = 2
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PLEASE HELP!!!!!!!!!
△STU is reflected across the y-axis
What are the signs of the coordinates of △S’T’U’?
PLEASE LOOK AT THE PICTURE!!!!!!!!!!!!!!!
Negative x- coordinates, Negative y- coordinates. So correct option is D.
Describe Quadrant?In geometry, a coordinate plane is divided into four parts by two perpendicular number lines called the x-axis and y-axis. Each of these four parts is called a quadrant. Quadrants are numbered in a counterclockwise direction, starting from the upper right quadrant, which is known as the first quadrant, and continuing through the other three quadrants in order. Each quadrant is defined by a positive and negative value for both the x and y coordinates. The first quadrant, for example, has both positive x and y coordinates. The second quadrant has negative x coordinates and positive y coordinates. The third quadrant has both negative x and y coordinates, while the fourth quadrant has positive x coordinates and negative y coordinates.
Quadrants are commonly used to locate points on a coordinate plane. For example, if a point has a positive x-coordinate and a positive y-coordinate, it would be located in the first quadrant. Conversely, if a point has a negative x-coordinate and a negative y-coordinate, it would be located in the third quadrant.
Quadrants are also used to describe the signs of trigonometric functions. In the first quadrant, all trigonometric functions are positive, while in the second quadrant, only the sine function is positive. In the third quadrant, only the tangent function is positive, and in the fourth quadrant, only the cosine function is positive.
In the mentioned quadrant both x and y coordinates are negative.
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The complete question is:
find the 40% Axo value of x Lage:
La cafetería de Jina prepara una mezcla que es una combinación de dos tipos de café. El café del tipo A le cuesta 5.75 por cada libra, y café del tipo B 4.3 por cada libra. En la mezcla de este mes utilizó tres veces más la cantidad de libras de café del tipo B que del tipo A, con un costo total de 503.55. ¿Cuántas libras de café del tipo A se utilizaron?
The amount of coffee of type A that was used is given as follows:
27 lbs.
How to obtain the amounts?The amounts of each type of coffee used are obtained using a system of equations, for which the variables are given as follows:
Variable x: amount of coffee of type A used.Variable y: amount of coffee of type B used.The total cost was of 503.55, hence:
5.75x + 4.3y = 503.55.
The amount of coffee B used was the triple of the amount of coffee A used, hence:
y = 3x.
Replacing the second equation into the first, the amount of coffee A used is given as follows:
5.75x + 4.3(3x) = 503.55
x = 503.55/18.65
x = 27 lbs.
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Which expression is equivalent to g/2h
Answer:g/2h
Step-by-step explanation:
g/2h x g/2h= g/2hWrite the equation for each line
Answer:
y = -x
Step-by-step explanation:
We can use two points on the line to write the equation.
Using ( 0,0) and (2,-2), we can find the slope.
m = ( y2-y1)/(x2-x1)
= ( -2-0)/(2-0)
= -2/2
= -1
The y intercept is 0.
y = mx+b where m is the slope and b is the y intercept.
y = -x+0
y = -x
Use the piecewise function to answer the following questions. (NEED HELP ASAP)
a) To find f(-2), first determine which part of the piecewise function the x-value of -2 falls into.
b) f(5) can be computed -1.5
c) In f(x) = -7/2, x = -3.
What is piecewise function?A type of function that is defined by multiple sub-functions, each of which is applied to a specific interval or domain of the main function. It is made up of individual pieces, each of which is defined by an equation with a specific domain.
a) To find f(-2), first determine which part of the piecewise function the x-value of -2 falls into. Since -2 is greater than -6 and less than 0, the first part of the piecewise function applies. Thus, f(-2) can be computed as follows:
f(-2) = 1/2(-2) - 2
= -3
b) To find f(5), first determine which part of the piecewise function the x-value of 5 falls into. Since 5 is greater than 0 and less than or equal to 8, the second part of the piecewise function applies. Thus, f(5) can be computed as follows:
f(5) = 1/2(5) - 4
= -1.5
c) To find x when f(x) = -7/2, first determine which part of the piecewise function applies. Since -7/2 is less than 0, the first part of the piecewise function applies. Thus, x can be computed as follows:
-7/2 = 1/2x - 2
x = -4+7
= -3
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a) Determine the edge length of this cube Volume =91 125 cm 3
b) Determine the side length of this square Area = 3969 cm²
PLS HELP!!!
The lengths of the edges of the cubes are 45cm and 63cm respectively.
EquationsTo determine the edge length of a cube with a volume of 91,125 cm³, we can use the formula:
Volume of a cube = edge length³
Plugging in the given value, we get:
91,125 = edge length³
Taking the cube root of both sides, we get edge length
edge length ≈ 45
Therefore, the edge length of the cube is approximately 45 cm.
To determine the side length of a square with an area of 3,969 cm², we can use the formula
Area of a square = side length²
Plugging in the given value, we get:
3,969 = side length²
side length = √3,969
Using a calculator, we can simplify this to
side length ≈ 63
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Question
In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB = 7 and
BC= 6, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your
answer.
evious
D
E
B
Answer:
The area of the shaded region is 21.
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:
[tex]A_s=2\times A_t[/tex]
Where At is the area of each triangle.
[tex]A_t=\dfrac{AB\times BC/2}{2}[/tex]
[tex]A_t=\dfrac{AB\times BC}{4}[/tex]
We know AB=7 and BC=6, thus:
[tex]A_t=\dfrac{7\times6}{4} =\dfrac{42}{4}[/tex]
Simplifying:
[tex]A_t=\dfrac{21}{2}[/tex]
Finally:
[tex]A_s=2\times\dfrac{21}{2}[/tex]
[tex]A_s=21[/tex]
The area of the shaded region is 21.
Note the area of the shaded region is half the area of the rectangle.
find the estimate and the exat case of the the following 23 books at $263. 64 each
Answer:
Estimate: $5,000.00
Actual: $6,063.72
Step-by-step explanation:
I would estimate by finding 20 x 250
I know that 10 x 250 would be 2500 and if I double that, I would get 5,000.
Helping in the name of Jesus.
PLEASE HELP ASAP Jessie had 1/4 of a watermelon. She cut it into 6 equal pieces to share with friends. What fraction of the whole watermelon did they each get? Responses A 32 3 2 B 64 6 4 C 124 1 24 D 424
Answer:
Its d ik becuse im smart and i lernt this in like 2nd grade
Answer: 1/24
Step-by-step explanation:
Multiply the denominator with 6 to divide it into 6 equal parts
= 1/(4•6)
= 1/24
add [-6 -22] + [-3 2 1]
A [-903]
B [-603]
C [-303]
D[-9-3 -5]
Answer:
I think its C. sorry if I'm wrong.
189=-6x+3(-7x-18) what is x
Answer:
x = -9
Step-by-step explanation:
To solve for x in this equation, we first need to simplify the right-hand side by distributing the 3:
189 = -6x + (-21x - 54)
Next, we can combine like terms on the right-hand side:
189 = -27x - 54
Adding 54 to both sides:
243 = -27x
Dividing both sides by -27:
x = -9
Therefore, the solution to the equation 189=-6x+3(-7x-18) is x = -9.
Answer:
To solve for x in the equation 189=-6x+3(-7x-18), we can use the following steps:
Distribute the 3 to the terms inside the parentheses:
189 = -6x + (-21x - 54)
Combine like terms on the right side of the equation:
189 = -27x - 54
Add 54 to both sides of the equation:
189 + 54 = -27x
Simplify the left side of the equation:
243 = -27x
Divide both sides by -27:
x = -9
Therefore, x is equal to -9.
Hope This Helps!
Need help will give brainliest and 5 stars for the fastest answers with work.
The answer of A is The point (-2,2) is included in the graph of g(x) regardless of the value of b and c.The answer of B the point (2,2) would be transformed to the point (2,1) on the graph of h(x).
What is graph?
A graph is a visual representation of data, functions, or relationships between variables. It is a way of displaying information in a way that is easy to interpret and understand. Graphs typically consist of two axes, the x-axis and y-axis, and points or lines plotted on the graph to represent the data or function being displayed.
There are many different types of graphs, including line graphs, bar graphs, pie charts, scatter plots, and more. Each type of graph is used for different purposes and can display different types of data.
Graphs are commonly used in many fields, including science, economics, finance, engineering, and more. They allow researchers and analysts to easily visualize data and identify trends or patterns, making it easier to draw conclusions and make informed decisions based on the data.
A. To include the point (-2,2), we need to shift the graph of f(x) two units to the right and two units upwards. So we have:
g(x) = a f(x - (-2)) + 2
g(x) = a f(x + 2) + 2
Now we need to find the value of "a". Since the point (3,4) on the graph of f(x) is mapped to the point (2,2) on the graph of g(x), we have:
g(3) = a f(3 + 2) + 2 = 2
4a + 2 = 2
4a = 0
a = 0
Therefore, the function g(x) is:
g(x) = 0 f(x + 2) + 2
g(x) = 2
So the point (-2,2) is included in the graph of g(x) regardless of the value of b and c.
B. The function h(x) is a linear function with slope 2 and y-intercept -1. To find where the point (2,2) would end up after the transformations, we plug in x=2 into h(x) and get:
h(2) = 2(2+1)-3 = 1
So the point (2,2) would be transformed to the point (2,1) on the graph of h(x).
The transformations made to f(x) to obtain h(x) are a horizontal shift to the left by one unit (x+1), a vertical stretch by a factor of 2 (2(x+1)), and a vertical shift downwards by three units (-3).
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