The equation 23+0.15p=c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. Use the equation and a table to find the weight of an appliance that costs $41 to deliver.
The weight of the appliance is 120 pounds.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
23+0.15p=c
where the cost c in dollars that a store charges to deliver an appliance that weighs p pounds.
Now for c= 41
23 + 0.15p= 41
0.15p= 41-23
0.15p= 18
p= 18/0.15
p=120 pounds
Hence, the weight of an appliance is 120 pounds
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Which expression shows the distance on the number line between −12 and 8?
In which three statements below will the number 5 correctly fill
in the blank?
A) 10 feet =yards
B)
gallons = 40 pints
C) 10,000 pounds =______ tons
D) mm = 50 cm
E) 300 seconds=
The number 5 would correctly fill in the blank in the three statements.
What is conversion ?
Conversion is the process of changing the units or form of a measurement to another unit or form that is more useful or appropriate for a given situation. Conversion allows us to express measurements in different units of measurement, such as converting from inches to centimeters, pounds to kilograms, or Fahrenheit to Celsius.
In order to convert a measurement, we must use a conversion factor, which is a ratio that expresses the relationship between the original unit and the new unit. For example, to convert from inches to centimeters, we use the conversion factor 2.54 cm/inch, which tells us that there are 2.54 centimeters in one inch.
Conversion is an important skill in many fields, including science, engineering, and manufacturing, where precise measurements are critical.
Measurement is the process of assigning a numerical value to a physical quantity in order to describe or quantify a phenomenon or object. It involves the comparison of an unknown quantity with a known quantity of the same type, called a standard, using an instrument or device designed for that purpose.
Measurement plays a crucial role in science, engineering, technology, and everyday life. It allows us to describe, compare, and understand the physical world around us. Some common examples of measured quantities include length, mass, time, temperature, volume, and energy.
The number 5 would correctly fill in the blank in the following three statements:B) 5 gallons = 40 pints,C) 10,000 pounds = 5 tons,D) 5 mm = 50 cm (although this statement is technically incorrect, as 5 mm is equal to 0.5 cm, not 50 cm)
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What is the TOTAL surface area?
Answer:
SA=571.77
Step-by-step explanation:
SA==2πrh+2πr2=2·π·7·6+2·π·72≈571.76986
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27:9 simpliy following as far as possible
Answer:
Applying the product rule of exponents, (a²c)³ = .
What is the Product Rule of Exponents?
When multiplying two numbers with the same base, their powers/exponents would be added.
For example, .
Given:
(a²c)³
Therefore:
(a²c)³ = (a²c)(a²c)(a²c)
(a²c)³ =
(a²c)³ =
Therefore, applying the product rule of exponents, (a²c)³ = .
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Step-by-step explanation:
Answer:
3:1
Step-by-step explanation:
Pls mark as brainliest.
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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alonzo has a job and makes 13.50 per hour he works 9 hours how much money does he take home
Someone please answer Tysm
Answer:
4/p -2
Step-by-step explanation:
4/p - 2 isn't an eqaution, bc it doesn't have an equal sign.
This would be called an expression.
Answer:
4/p -2 is the answer.
Write the following polynomial in expanded form (2k-5)^2
Answer:
(2k-5)(2k-5)
Step-by-step explanation:
The exponent of 2 lets us know that the numbers and variables in the parentheses are getting multiplied together twice. E.x: if it was (2k-5)^3, it would have 3 sets of parentheses instead of 2.
prove why the function is even with the green highlighted formulathen show where the line of symmetry is at show all work
Here, the given function is f(x)=c.
Check whether the function is odd or even.
\(\begin{gathered} f(-x)=c \\ =f(x) \end{gathered}\)Here, the out put of the function is constant whether it is +x or -x.
So, the function is even.
The graph of the function f(x)=c is shown below.
From, the graph, for any values of x there is a constant val;ue of y.
The function is symmetric with respect to y axis.
guys help right now i need a answer
Answer:
Step-by-step explanation:
Four quadrants:
Quadrant I (right side, above the x-axis to the right of the y-axis).
Quadrant II (left side, above the x-axis to the to the left of the y-axis).
Quadrant III ( left side , below the x-axis to the left of the y-axis).
Quadrant IV (right side, below the x-axis to the right of the y-axis
Y
l
II (-x, y) l I (x, y)
x l x
III l IV
(-x, -y) l (x, -y)
l
Y
Now you can answer the questions by locating the point and explain.
Write the comparison using <, >, or =.
Z 3 pounds
32 ounces
14 pounds
40 ounces
1,000 pounds
1 ton
4,000 pounds
1 pound and 5 ounces
1.5 pounds
2 tons
28 ounces
25 ounces
3 pounds 32 ounces < 14 pounds 40 ounces
1,000 pounds = 1 ton
1 pound and 5 ounces < 1.5 pounds
2 tons = 4,000 pounds
28 ounces > 25 ounces
What are the values in the compared weights?The comparison of the values of the given weights is as follows:
3 pounds 32 ounces < 14 pounds 40 ounces
This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.
1,000 pounds = 1 ton
This is because 1,000 pounds is equal to 1 ton.
1 pound and 5 ounces < 1.5 pounds
This is because 1 pound and 5 ounces is less than 1.5 pounds.
2 tons = 4,000 pounds
This is because 2 tons is equal to 4,000 pounds.
28 ounces > 25 ounces
This is because 28 ounces is greater than 25 ounces.
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Complete question:
Write the comparison using <, >, or =.
3 pounds 32 ounces vs 14 pounds 40 ounces
1,000 pounds vs 1 ton
1 pound and 5 ounces vs 1.5 pounds
2 tons vs 4,000 pounds
28 ounces vs 25 ounces
Los puntos A(13, a) y B (4,b) pertenecen a una parábola de vértice V (h, 1) Además el eje focal es paralelo al eje de las abscisas ,su parámetro es p y A, B están
contenidos en la recta 2x - y - 13 = 0. Hallar a" + bP.
The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.
How to calculate parameters?Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:
(x - h)² = 4p(y - 1)
The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:
√((13 - h)² + (a - 1)²) = p
Similarly, write an equation for the distance between the vertex and point B:
√((4 - h)² + (b - 1)²) = p
A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:
2(13) - a - 13 = 0
2(4) - b - 13 = 0
Solving these equations gives us a = 3 and b = -5.
Now three equations and three unknowns (a, b, and h):
√((13 - h)² + 4) = p + 1
√((4 - h)² + 36) = p + 1
2h - 3 - 13 = 0
The third equation simplifies to 2h = 16, or h = 8.
Substituting this value of h into the first two equations and squaring both sides:
(13 - 8)² + 4 = (p + 1)²
(4 - 8)² + 36 = (p + 1)²
Simplifying these equations and solving for p gives us p = 3.
Finally, find a" + bP by substituting the values found for a, b, and p:
a" + bP = 3 + (-5)(3) = -12
Therefore, the solution is a" + bP = -12.
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75% of what equals 30
Answer:
30 is 75% of 40
Step-by-step explanation:
We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75, x = 40.
And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.
Hey there!
75% of ? = 30
75% of x = 30
75/100 * x = 30
75 ÷ 25 / 100 ÷ 25 * x = 30
3/4 * x = 30
MULTIPLY 4/3 to BOTH SIDES
4/3 * 3/4x = 4/3 * 30
CANCEL out: 4/3 * 3/4 because that gives you 1
KEEP: 4/3 * 30 because it helps solve for your answer
x = 4/3 * 30
SIMPLIFY IT
x = 40
Therefore, 75% of [40] = 30
Answer: 40
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Give the following number
in Base 10.
F16 = [? ]10
The next decimal number should be changed to hexadecimal. Your final response may contain up to six fractional digits. In decimal 386210, subscript 10 to F16.
How do you write a number in base 10?F16 is 001000011000.1111. 218. F716 is 001000011000.111101112. 710 = (h0)16 = 716 is how the hexadecimal number is represented. It is necessary to add a 1 to the left and modify the number for both to 0. In base-2, the numeral 15 is represented as 1111, and the number 16 is represented as 10000. The greatest value in base-16 is the letter F, in a similar vein. such that 10 is the new value.
Binary 10 equals 1010, thus. Dividing 10 by 2 successively until the quotient equals 0 will yield the decimal to binary equivalent. By writing the remainder in each division step from bottom to top, it is possible to determine the binary equivalent.Base-16 is the definition given to hexadecimal. There are many powers of 16 in each place value in the number. The hexadecimal numbers are: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. 10 through 15 are represented, accordingly, by the letters A through F.
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Passing through (2, - 2) and perpendicular to the line whose equation is y= 5x+2
Step-by-step explanation:
Hey there!!!
Here,
Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.
The equation of a straight line passing through point is,
\((y - y1) = m1(x - x1)\)
Now, put all values.
\((y + 2) = m1(x - 2)\)
It is the 1st equation.
Another equation is;
y = 5x +2........(2nd equation).
Now, Comparing it with y = mx + c, we get;
m2=5
As per the condition of perpendicular lines,
m1×m2= -1
m1 × 5 = -1
Therefore, m2= -1/5.
Keeping the value of m1 in 1st equation.
\((y + 2) = \frac{ - 1}{5} (x - 2)\)
Simplify them.
\(5(y + 2) = - x + 2\)
\(5y + 10 = - x + 2\)
\(x + 5y + 8 = 0\)
Therefore the required equation is x+5y+8= 0.
Hope it helps...
PLEASE HELP
Find the area in square feet of a rectangular yard that measures 6 yards by 11 yards. need to be shown how to solve as well
Can you Please help ASAP!!!
Answer: 2.5 I think
Step-by-step explanation:
-2x+3<5
-3 -3. Take -3 from both sides
2x < 5 divide by 2
x < 2.5
Hope this helps
For f(x) = 2(6)*, find y when x=2.
f(2)=
Answer:
I believe it is f(2) = 12
Step-by-step explanation:
I don't know if the * symbol is supposed to be an x but if it is, it would be 12x instead of 12.
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
Pls Solve my peoblem
2 × 100 ÷ 2
Answer: it = 100 thats your answer
What is the standard deviation of 82,93,89 and 88?
Answer:
4.546, rounded
Step-by-step explanation:
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d-4=19 d=15 answer please
Answer:
I think the answer is 8
A straight railway track passes through the coordinates (8, 3) and (12, 1). What is the
slope of the line for the path the track?
(2 points-1 point showing work, 1 point correct slope)
Answer:
\(-\dfrac{1}{2}\)
Step-by-step explanation:
Slope Formula
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}\)
Where (x₁, y₁) and (x₂, y₂) are points on the line.
Given points:
(x₁, y₁) = (8, 3)(x₂, y₂) = (12, 1)Substitute the given points into the formula and solve for m:
\(\implies \textsf{slope}\:(m)=\dfrac{1-3}{12-8}=\dfrac{-2}{4}=-\dfrac{1}{2}\)
Therefore, the slope of the line for the path of the track is -¹/₂.
Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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After graduating from college, Trevor gets a job at a software company with a starting salary of 50,000 dollars and is given a 10% raise every year. After 10 years, what will his total earnings have been at the company? (Round to the nearest dollar)
Answer:
796871
Step-by-step explanation:
Based on the given conditions, formulate:
5000 x (1 - (1 + 10%) 10)
-------------------------------
1 - (1 + 10%)
Evaluate the equation/expression:
796871.23005
Find the closest integer to
798871.23005
= 796871
what percent of undergraduate enrollment in coed colleges and universities in the united states is male? a random sample of 50 such institutions give the following data
The percentage of male enrollment in colleges and universities in the United States calculated by dividing the sum of the values in the sample by the frequency is 47.34%
The data :
41 47 48 76 51 41 49 57 43 48 42 39 38 57 46 57 58 26 55 57 45 33 56 37 46 52 40 47 41 38 45 38 54 57 57 27 68 49 46 39 30 53 40 52 40 54 39 77 37 54Calculating the average or mean percentage enrollment which are male :
Mean = ΣX/ n n = frequency = 50Therefore, percentage of male undergraduates :
Sum of X, ΣX = 2367 Mean or average = 2367 / 50 Mean = 47.34Therefore, the mean percentage of male enrollments on colleges and universities in the U.S is 47.34%
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Indicate whether the following statements are True (T) or False (F). 1. The product of two real numbers is always a real number. 2. The quotient of two real numbers is always a real number (provided the denominator is non-zero). 3. The ratio of two real numbers is never zero. 4. The difference of two real numbers is always a real number. 5. The sum of two real numbers is always a real number. 6. The quotient of two real numbers is always a rational number (provided the denominator is non-zero). 7. The difference of two real numbers is always an irrational number.
The required answer is true, false, true, false, true, true, and false for statements 1, 2, 3, 4, 5, 6, and 7 respectively.
The product of two real numbers is always a real number is true.
The quotient of two real numbers is always a real number (provided the denominator is non-zero) is false because when you divide, you get the quotient, and when you divide, you might get decimals.
The ratio of two real numbers is never zero is true.
The difference of two real numbers is always a real number is false because it could be a decimal.
The sum of two real numbers is always a real number is true.
The quotient of two real numbers is always a rational number (provided the denominator is non-zero) is true.
The difference of two real numbers is always an irrational number is false.
Therefore, the required answer is true, false, true, false, true, true, and false for statements 1, 2, 3, 4, 5, 6, and 7 respectively.
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Graph the equation y = 3x - 6
Select two points to graph the line.
Answer:
y intercept is -6 put your first point on that y intercept
Step-by-step explanation:
from -6 rise 3 and run 1 (to the right )
whats that point ? (0,2)
from that point 2.... run 1 ( to the right and up 3) that will take from x4 to y6
(0,2) (4,6) Two points
y2 -y1 = 6
x2-x1 =2
6/2 simplified is 3/1
Make sense?
Jayda is older than her 12-year-old sister. Write an inequality for j, Jayda's age.
The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.
Let j represent Jayda's age.
Since Jayda is older than her 12-year-old sister, we can write the inequality:
j > 12
Thus, the inequality states that Jayda's age (j) is greater than 12.
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