A. The customer will have to drive 175 miles for the cost to be $168.75.
B. To find the number of miles a customer needs to drive for the cost to be $168.75, we can set up an equation using the given function:
c = 125 + 0.25m
Here, c represents the cost and m represents the number of miles driven.
We are given that the cost should be $168.75. So we can substitute c with 168.75 in the equation:
168.75 = 125 + 0.25m
Now, let's solve for m:
Subtract 125 from both sides:
168.75 - 125 = 0.25m
43.75 = 0.25m
To isolate m, divide both sides by 0.25:
43.75 / 0.25 = m
175 = m
Therefore, the customer will have to drive 175 miles for the cost to be $168.75.
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the lot is 90 feet by 110 feet. the fence is to be 6 feet tall. cost for the fence is $3.00 per linear foot, plus $.40 per square foot for labor. what is the total cost of the fence
the lot is 90 feet by 110 feet. the fence is to be 6 feet tall. cost for the fence is $3.00 per linear foot, plus $.40 per square foot for labor then the total cost of the fence is 8643 dollar
We have to sum the three distances to get the perimeter.
P= 90 ft + 110 ft+ 6 ft
P = 201 ft
And each foot of material cost $3.00
we get the cost with the distance and de cost of the material:
Cost = 201 ft * 3.00 $ per ft = $603
he needs $603.00 to fence her backyard garden
40 per square labor
then 201*40 = 8040
total = 8040+603= 8643
thus the total cost of the fence is 8643 dollar
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What’s is the perimeter and area of 14.3 yds and 12 yds
Answer:
Step-by-step explanation:
The perimeter of a rectangle is given by the formula:
perimeter = 2(length + width)
In this case, the length is 14.3 yards and the width is 12 yards. Substituting these values into the formula, we get:
perimeter = 2(14.3 + 12)
perimeter = 2(26.3)
perimeter = 52.6 yards
Therefore, the perimeter of the rectangle is 52.6 yards.
The area of a rectangle is given by the formula:
area = length x width
Substituting the length and width values, we get:
area = 14.3 x 12
area = 171.6 square yards
Therefore, the area of the rectangle is 171.6 square yards.
What is 1 and 2/5 as an Improper faction in its simplest form
Answer:
\(\frac{7}{5}\)
Step-by-step explanation:
1 \(\frac{2}{5}\)
= 1 + \(\frac{2}{5}\)
= \(\frac{5}{5}\) + \(\frac{2}{5}\)
= \(\frac{5+2}{5}\)
= \(\frac{7}{5}\)
The fraction is:
7/5
Step-by-step explanation:
The number we're given is:
\(\large\pmb{1\dfrac{2}{5}}\)
To convert it into an improper fraction, we first multiply the whole number part (1) times the denominator (5). Then, we add 2, the numerator. We get 7.
That is the numerator of the improper fraction. As for the denominator, we just copy it.
\(\pmb{\dfrac{7}{5}}\)
Therefore, the answer is 7/5.
don conducted a survey of two groups (n subscript 1 equals 50 comma space n subscript 2 space end subscript equals 50 )of students that recently graduated from private and public colleges. he found that the mean debt for the students who attended private college was $26,600, while those who attended public colleges had a mean debt of $24,400. don wants to see if the difference in mean debt is statistically significant. what should don state for the null hypothesis?
Don's null hypothesis is that there is no statistically significant difference between the mean debt of students who attended private college and the mean debt of students who attended public colleges, represented as H₀: μ₁ - μ₂ = 0
The null hypothesis (H0) is a statement of "no difference" or "no effect" and is typically represented as "there is no statistically significant difference between the mean debt of students who attended private college and the mean debt of students who attended public colleges." Therefore, in this case, Don's null hypothesis can be stated as
H₀: μ₁ - μ₂ = 0
where μ₁ represents the population mean debt for students who attended private college, and μ₂ represents the population mean debt for students who attended public colleges.
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The Greatest Common Factor (GCF) of 24, 36, and 48 is O A. 2 O B. 24 O C. 12 O D. 6
Answer: C. 12
Step-by-step explanation:
Answer:
Greatest common factor (GCF) of 24, 36, 48 is 12.
Step-by-step explanation:
i searched it up;)
What is the area of the shaded face of this cylinder? Give your answer to the nearest whole number and give the correct units. 22 mm
Rounded to the nearest whole number, the area of the shaded face of the cylinder is approximately 381 mm^2.
To determine the area of the shaded face of the cylinder, we need more information about the shape and position of the shaded region. Without a specific description or visual representation of the shaded face, it is not possible to accurately calculate its area.
However, if we assume that the shaded face represents the circular base of the cylinder, we can calculate its area. The area of a circle is given by the formula:
A = πr^2,
where A represents the area and r represents the radius of the circle.
Given that the diameter of the circle is 22 mm, we can calculate the radius by dividing the diameter by 2:
r = 22 mm / 2 = 11 mm.
Now we can calculate the area of the shaded face:
A = π(11 mm)^2
≈ 121π mm^2.
To provide the answer to the nearest whole number, we can approximate the value of π as 3.14:
A ≈ 121 × 3.14 mm^2
≈ 380.94 mm^2.
Rounded to the nearest whole number, the area of the shaded face of the cylinder is approximately 381 mm^2.
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Which of the following statements is not correct concerning qualitative and quantitative research?
A.
Research cannot use both qualitative and quantitative methods in a study.
B.
Research can use both qualitative and quantitative data in a study.
C.
Quantitative research uses numbers and measurements.
D.
Qualitative research uses descriptions and observations.
A.
Research cannot use both qualitative and quantitative methods in a study.
The correct statement among the given options is A. "Research cannot use both qualitative and quantitative methods in a study."
This statement is not correct because research can indeed use both qualitative and quantitative methods in a study. Qualitative research focuses on collecting and analyzing non-numerical data such as observations, interviews, and textual analysis to understand phenomena in depth. On the other hand, quantitative research involves collecting and analyzing numerical data to derive statistical conclusions and make generalizations.
Many research studies employ a mixed methods approach, which combines both qualitative and quantitative methods, to provide a comprehensive understanding of the research topic. By using both qualitative and quantitative data, researchers can gather rich insights and statistical evidence, allowing for a more comprehensive analysis and interpretation of their findings.
Therefore, option A is the statement that is not correct concerning qualitative and quantitative research.
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Please graph as this coordinate plane is. Thank you
Answer:
hope this helps :)
can someone please help me out with this
Answer:
-1 will be the answer.
hope this is helpful. ^_^
a square is inscribed in a circle. how fast is the area of the square changing when the circel is increasing at 1 in/min
The area of the square is changing at 12√2 + 2√2t square inches/minute when the circle is increasing at 1 in/min.
Let us find the relationship between r and s using the Pythagorean theorem. Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.
2r = s√2
Squaring both sides, we get:
4r² = 2s²or s² = 2r²
Dividing by 2 on both sides, we get:
s²/2 = r²
Differentiating both sides with respect to t, we get:
ds²/dt = 2r (dr/dt)
Dividing both sides by 2s, we get:
ds/dt = r (dr/dt) / s
Substituting r² = s²/2,
\(ds/dt = r (dr/dt) / √2s2s ds/dt = r (dr/dt)s ds/dt = (r/2) (dr/dt)2s ds/dt = r (dr/dt) or dA/dt = 2s ds/dt = 2r (dr/dt)\)
Now, substituting r² = s²/2,
dA/dt = 2s ds/dt = 2(√2 s) (dr/dt) = 2(√2) r (dr/dt)
Now, substituting dr/dt = 1 in/min and r = 6 in (since the circle is increasing at 1 in/min, the radius after t minutes is 6 + t),
dA/dt = 2(√2) (6 + t) (1) = 12√2 + 2√2t square inches/minute
Therefore, the area of the square is changing at a rate of 12√2 + 2√2t square inches/minute.
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Can somebody plz explain to me how you do this
Answer:
21/2
Step-by-step explanation:
(x-8)/5=2/4
step 1 you simplify if you can to make it easier
(x-8)/5=1/2
step 2 multiply each side by 5
x-8=5/2
step 3 add each side by 8
x=5/2+8
16/2+5/2=21/2
x=21/2
fill in these gaps to factorise the quadratic expression below
3f^2 + 16f + 5= (3f + __) (f + __)
The factorized form of the quadratic expression 3f^2 + 16f + 5 is (3f + 1)(f + 5).
To factorize the quadratic expression 3f^2 + 16f + 5, we need to find two binomial factors that, when multiplied together, result in the given expression.
The factors have the form (3f + __)(f + __), where we need to determine the missing values.
To find the missing values, we need to consider two numbers that multiply to give 3 (the coefficient of f^2) and add up to give 16 (the coefficient of f).
The factors of 3 are 1 and 3, and when we consider the sign of the terms, we can see that the factors must be (3f + 1) and (f + 5).
Therefore, we can factorize the expression as:
3f^2 + 16f + 5 = (3f + 1)(f + 5).
Thus, the factorized form of the quadratic expression 3f^2 + 16f + 5 is (3f + 1)(f + 5).
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Identify the slope and y-intercept of the line. y = 4x − 11
slope=
y-intercept (x, y) =
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = 4x − 11
Comparing with the general equation above
Slope = 4y - intercept = - 11 or ( 0 , - 11)Hope this helps you
Combining exponents marking as Brainliest
Answer:
See below
Step-by-step explanation:
\((5^{4})^{2}\)
\(5^{3}\) \(5^{5}\)
\(5^{1}\) \(5^{0}\) \(5^{7}\)\(5^{8}\)
Egyptian Fractions The ancient Egyptians used only unit fractions, so they would write ¾ as ½ + ¼. Find the six ways to write 1 as the sum of 4 distinct unit fractions. Write 1 as a sum of 5 distinct unit fractions, without using ½.
The fraction 3/4 can be written as a unit fraction,
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
A unit fraction is a type of fraction where the numerator is 1.
The given fraction is 3/4.
Now, This can be written as, 1/4 + 1/4 + 1/4.
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8.
Further, it can be written as,
1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16.
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Alinear trendline used to forecast sales for a given time period takes the form y = b+ bil. increases by , then the estimated y value all else e tone period, increases, b1; constant o tone period, increases, bo, constant bione period, increases; bo constant bi: one period, increases bi: constant
The linear trendline used to forecast sales for a given time period takes the form y = b0 + b1t, where y represents the estimated sales, b0 is the constant term, b1 is the coefficient of the time period variable (t), and t is the time period.
In this equation, the coefficient b1 determines the relationship between the time period and the estimated sales. If b1 increases, it means that for each additional time period, the estimated sales will also increase. On the other hand, if b1 is constant, it implies that the estimated sales do not change with each additional time period.
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I have a triangle with angles measuring 40, 40, and 100. Is this one a unique triangle, many triangles, or no triangle?
Answer:
Unique triangle.
Step-by-step explanation:
If you were to draw the triangle, you would've been able to see that one angle is open and that the other 2 were closed.
Write a function DivideByThree that, given an integer number, computes the quotient of the division by 3 by counting how many times the number 3 is inthe original number?
int DivideByThree(int number)
{
//write your code here
Here's a possible implementation of the DivideByThree function in C:
int DivideByThree(int number) {
int count = 0;
while (number > 0) {
if (number % 10 == 3) {
count++;
}
number /= 10;
}
return count;
}
This function takes an integer number as input and returns the quotient of the division by 3 by counting how many times the number 3 appears in the original number. The function works as follows:
Initialize a counter variable count to 0.
While number is greater than 0, do the following:
a. If the last digit of number is 3 (i.e., number % 10 == 3), increment count.
b. Divide number by 10 to remove the last digit.
Return the final value of count.
For example, if we call DivideByThree(123456333), the function will count three occurrences of the digit 3 in the input number and return the value 1. If we call DivideByThree(33333), the function will count five occurrences of the digit 3 and return the value 1. If there are no occurrences of the digit 3 in the input number, the function will return 0.
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What is the x intercept of the line below?
Answer:
There is no x intercept
Step-by-step explanation:
Answer:
no x intercept
Step-by-step explanation:
it is parallel with the x axis. They will never touch
tje perimeter of a rectangle is 56 cm . when its length is reduced by 2 cm and its width is increased by 4 cm a square is formed. what is the area of the rectangle.
The area of the square is calculated as 256 cm².
What is defined as the rectangle?A rectangle is a category of quadrilateral, a two-dimensional shape with four sides as well as four vertices. The rectangle's four angles are all right angles but rather equal to 90 degrees.Let 'l' be the length of the rectangle.
Let 'b' be the width of the rectangle.
Perimeter of rectangle = 56 cm.
P = 2(l + b) = 56 cm
l + b = 28 cm
Or, l = 28 - b.
Now, length is reduce by 2 cm; l - 2.
The width is increased by 4 cm; b + 4
It forms the square; which has equal sides.
l - 2 = b + 4
Put the value of l = 28 - 4
28 - b = b + 4
On solving;
2b = 24
b = 12 cm
Side of square is; b + 4 = 12 + 4 = 16 cm
Area of square = side²
Area of square = 16²
Area of square = 256 cm².
Thus, the area of the square is found as 256 cm².
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Sixth grade boys' average weight is 100 pounds with a standard deviation of 8 pounds. What is the probability that a randomly selected 6th grade boy weighs less than 116 pounds?
about 97.5%
about 90%
about 95%
about 99%
The probability that a randomly selected 6th grade boy weighs less than 116 pounds is about 97.5%.Explanation:Given: Average weight of sixth-grade boys= 100 poundsStandard deviation= 8 poundsWe have to find: Probability that a randomly selected 6th grade boy weighs less than 116 pounds.Z-score is given by the formula:(Value - Mean) / Standard DeviationLet x be the weight of the sixth-grade boy.The z-score will be given as:z = (x - μ) / σwhere μ is the mean weight, σ is the standard deviation.Now we can find the probability using a z-table.The z-table shows the probability that a standard normal distribution will be less than a certain value. Since we can't use the table directly to find the probability less than a particular value, we must convert x into a z-score before using the table.The Z score is calculated as shown below.z = (x - μ) / σ= (116 - 100) / 8= 2.00Using the z-table, we can find that the probability of a z-score less than 2.00 is about 0.975 or 97.5%.Hence, the probability that a randomly selected 6th grade boy weighs less than 116 pounds is about 97.5%.Therefore, option A is correct.
Answer : D is correct
Given: Sixth grade boys' average weight is 100 pounds with a standard deviation of 8 pounds.
Explanation: The probability that a randomly selected 6th grade boy weighs less than 116 pounds can be calculated as follows:
Step 1: Find the z-scoreTo find the z-score, use the formula: z = (x - μ) / σwhere x = 116, μ = 100, and σ = 8z = (116 - 100) / 8z = 2.0
Step 2: Find the probabilityUsing a z-table or calculator, we can find the probability that a z-score is less than 2.0.
The probability is approximately 0.9772 or about 97.72%.
Therefore, the probability that a randomly selected 6th grade boy weighs less than 116 pounds is about 97.72%.
Round it to the nearest whole number to get the answer which is about 98%.
Thus, option D is correct.
1) Ao somar o quíntuplo de um número com 5², o total é 300. Considerando x como a incógnita. Qual o valor de x?
a)25
b)5
c)325
d)55
2) O triplo de um número aumentado do dobro desse mesmo número é igual a 100. Considerando a incógnita como y, qual o valor de y?
a)100
b)20
c)24
d)5
3) A metade de um número, menos 21, é igual a -5. Considere x o valor a ser determinado. É correto afirmar que x é igual a?
a)52
b)-32
c)32
d)16
4)Ao resolver a expressão y - 30 = 3 . 15, qual o valor de y?
a)75
b)65
c)55
d)45
5)Observe a equação 3x + 72 = 104. Qual descrição abaixo corresponde a ela?
a)A soma entre o triplo de um número e 72 é igual a 104
b)O triplo de um número subtraído de 104 é igual a 72
c)O triplo de 3 é igual a 104 somado a 72
6) Quando subtraímos 50 do triplo um número, obtemos 40. Qual equação representa essa afirmação?
a)3x = 50 - 40
b)3x - 50 = 40
c)3x = 40 - 50
7) Determine a solução das seguintes equações do 1º grau com uma incógnita. 63y + 75 = 327. Qual o valor de y=?
a)2
b)4
c)6
d)8
8) Determine a solução das seguintes equações do 1º grau com uma incógnita. 13x - 100 = 8x. Quanto vale x=?
a)18
b)19
c)20
d)21
9) Determine a solução das seguintes equações do 1º grau com uma incógnita. 10 (x + 1) - 8 (x - 2)= 30 . Quanto vale x=?
a)1
b)2
c)4
d)8
10) Determine a solução das seguintes equações do 1º grau com uma incógnita. 10 + 9y = 100. Quanto vale y=?
a)9
b)10
c)11
d)12
Answer:
Huh?
Step-by-step explanation:
explain how to use a graph of the function f(x) to find f(3)
Answer:
Just find the coordinate at the point where the x-coordinate is 3
Step-by-step explanation:
F(x) is just another term for Y. The variable of X is the value that you input into the f(x), which just stands for a function. Since the value that they asked for was 3, you know that they inputted the value of 3 as x. Just look where the coordinate at the point where the x-coordinate is 3 to find the answer.
Answer:
Sample Response: For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.
Step-by-step explanation:
answer on edge2020
Find the power set for the following sets (Write 3 examples of each)
a) Two sets A & B both having any 2 elements
b) Two sets A & B both having any 3 elements
c) Two sets A & B both having any 4 elements
Given statement solution is :- a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
Set A: {apple, banana}, Set B: {cat, dog}
Power set of A: {{}, {apple}, {banana}, {apple, banana}}
Power set of B: {{}, {cat}, {dog}, {cat, dog}}
Set A: {red, blue}, Set B: {circle, square}
Power set of A: {{}, {red}, {blue}, {red, blue}}
Power set of B: {{}, {circle}, {square}, {circle, square}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}
Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}
Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}
Set A: {red, blue, green}, Set B: {circle, square, triangle}
Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}
Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
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The distance around the rectangle is 44 centimeters.The length of each longer side is 12 centimeters.What is the length of each shorter side
The length of each shorter side is 10 centimeters in the given case.
Let's call the length of the shorter side "x".
The formula for the perimeter (distance around) of a rectangle is:
Perimeter = 2Length + 2Width
We are given that the perimeter is 44 centimeters, and that the length of each longer side is 12 centimeters.
The perimeter of a shape is the distance around its boundary.
The formula for the perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
where "Length" and "Width" are the dimensions of the rectangle.
The formula for the perimeter of a square is:
Perimeter = 4 * Length
where "Length" is the length of a side of the square.
The formula for the perimeter of a triangle is:
Perimeter = Side1 + Side2 + Side3 So we can plug in these values and solve for the length of the shorter side:
44 = 2(12) + 2x
44 = 24 + 2x
20 = 2x
x = 10
Therefore, the length of each shorter side is 10 centimeters.
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Confused on both 9 and 10 please help
11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
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Which equation represents a line which is parallel to the line 4y-x=-24?
Answer:
y=1/4x-2
Step-by-step explanation:
5 Find the value of [1199-1000]
Answer:
The answer is 199
Step-by-step explanation:
1199-1000 = 199
Which of the following functions has a horizontal asymptote at y = 2?
Answer: The first graph
Step-by-step explanation:
An asymptote is an imaginary line that the function is approaching but never reaching. y=2 is a horizontal line. Therefore by looking at the graphs, the first graph shows the two functions never approaching 2, but gets very close to it. Therefore it is the first graph.