Answer:
Rs 5,744.25
Step-by-step explanation:
The computation of the prize of a bicycle in the case when there is a 10% discount and 15% VAT is applied is shown below:
= Market price - discount + Vat applied
= Rs 5,550 - Rs 5,550 × 10% + 15% of the amount
= Rs 5,550 - Rs 555 + 15% of the amount
= Rs 4,995 + Rs 4,995 × 15%
= Rs 4,995 + 749.25
= Rs 5,744.25
The monthly rents (in dollars) paid by 9 people are given below.
(Note that these are already ordered from least to greatest.)
mean,median.
780,910,980,1000,1025,1045,1070,1095,1185
Suppose that one of the people moves. His rent changes from 1185 to 100
Answer:
increases by 30
Step-by-step explanation: its right
A radioactive element has a half-life of six days. What is the approximate decay rate of the element after the first day?
0.9%
1.5%
8.3%
10.9%
Answer: 8.3 or C
Eplanation: This is because a half life is 50 percent of a normal life so 50 percent divided by 6 is 8.3
\(8.3\)% is the approximate decay rate of the element after the first day.
What is Radioactive decay ?
Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive. Three of the most common types of decay are alpha decay, beta decay, and gamma decay, all of which involve emitting one or more particles.
What is decay rate?
The rate of decay, or activity, of a sample of a radioactive substance is the decrease in the number of radioactive nuclei per unit time.
According to question, a radioactive element has a half-life of six days.
A half- life is \(50\)% of a normal life.
So, the approximate decay rate of the element after the first day
\(=\frac{50}{6}\)% \(=8.3\)%
Hence, we can conclude that \(8.3\)% is the approximate decay rate of the element after the first day.
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A 969 acre wildlife preserve has 19 cheetahs. About how many acres does each cheetah have to itself, if each cheetah roams the same number of acres?
By taking a quotient, we will see that each cheetah has around 51 acres for itself.
About how many acres does each cheetah have to itself?If we assume that the cheetahs are evenly distributed along the whole area, then the number of acres that each cheetah has to itself is equal to the quotient between the total area, and the total number of cheetahs.
There are 969 acres and 19 cheetahs, then the quotient is:
969/19 = 51
That is the number of acres that each cheetah has for itself.
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A storeowner bought a sweater for $3000 and added 15% to
this to get the selling price. At a sale he decided to offer a 10%
discount of selling price. How much profit did the storeowner
make on the sweater?
When each of the following is divided by 8, only ?_ has a remainder that is a prime number. A) 548 B) 569 C) 678 D) 778
Answer:
the answer you are looking for is D 778
On its own, 5 � � 5ab5, a, b is the product of
The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form
The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.
The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.
The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.
Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.
Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.
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Kim had 2 1/3 pounds of candy. Eric eats 2/5 of Kims candy. How much candy did Eric eat?
The quantity of candy that Eric ate would be = 14/15
How to calculate the quantity of candy eaten by Eric?The quantity of Candy Kim had = 2⅓ pounds.
The quantity of Kims candy that Eric ate = 2/5
That is 2/5 of 2⅓.
The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15
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Darell made a scale drawing if a house its lot he used the scale 1 inch: 9 feet in the drawing the backyard is 5inches wide what is the width of the actual yard
Answer:
Your answer is 45
Step-by-step explanation:
Hope this helps! :D
9. Which of the following fractions is equivalent to 1.68?*
25
17
25
42
A
OB.
42
7
25
4.
Hii please answer i would appreciate it thankssss
Answer:
Just some background:
Congruent means that a triangle has the same angle measures and side lengths of another triangle.
SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.
Let's look at A first.
The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.
Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.
Therefore both triangles are the same by Side-Angle-Side or SAS.
Now look at B.
It's a right triangle. We are missing 1 side of each triangle.
Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).
so 2^2 + b^2 = 4^2
4 + b^2 = 16
b^2 = 16-4
b^2 = 12
That missing side is the \(\sqrt{12}\).
This does NOT match the triangle on the left.
Theses two triangles are NOT congruent.
Find the value of x
8,
9,
7,
10
The value of x in this problem, considering the intersecting chords, is given as follows:
x = 10.
How to obtain the value of x?A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Hence the value of x is obtained as follows:
12x = 15 x 8
12x = 120
x = 10.
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determine the surface area and volume
The surface area of a cylinder is 284m² and it's volume is 366.9m³
What is the surface area and volume of a cylinder?To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:
Surface Area (A) = 2πr² + 2πrhVolume (V) = πr²hFrom the given question, the data are;
radius = 4mheight = 7.3ma. The surface area of the cylinder is;
SA = 2π(4)² + 2π(4)(7.3)
SA = 283.999≈284m²
b. The volume of the cylinder is
v = πr²h
v = π(4)²(7.3)
v = 366.9m³
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IXL Help Fast ! Please And Thank You For Helping Me :)
Answer:
52 degrees
Step-by-step explanation:
first solve for x
9x-20=2x+36
9x=2x+56
7x=56
x=8
Now we find angle PTU
9(8)-20
72-20
52
Hopes this helps please mark brainliest
Can someone help me with this math problem asap
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
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Work out the values of a and b in the identity
5(7x + 8) + 3(2x + b) ≡ ax + 13
Solve 2^x-2=8^4 but not solving for x
Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.
To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.
First, let's simplify the equation:
2^x - 2 = 8^4
We know that 8 can be expressed as 2^3, so we can rewrite the equation as:
2^x - 2 = (2^3)^4
Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:
2^x - 2 = 2^(34)
Simplifying the right side of the equation:
2^x - 2 = 2^12
Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:
x = 12
Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.
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HELP I'm really bad at math
Answer:
18 1/2
Step-by-step explanation:
3 7/10 x 5 = 18 1/2
THIS ONE IS IN THE SAME QUIZ PLS HELPPPPPPP IS DUE AT 12:30
Graph A is not a function as its ordered pairs have the same first coordinate for different y coordinates.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is not a function if two distinct ordered pairs have the same first coordinate, (a, b), (a, c) is not a function.
The graph of A has an x value of - 3 and has different y values hence it is not a function.
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A baseball league finds that the speeds of pitches are normally distributed,
with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is
thrown at a speed of 83.2 mph. What is the z-score of this pitch? Round your
answer to two decimal places.
A. -2.42
B. -2.72
C. 2.42
D. 2.72
Joes Enough income has been increasing each year by the same dollar meal the first year his income was $22,000 in the fourth year his income was $24,100 in which year was his income 33,900
Answer:
In the 23rd year his income was of $33,900.
Step-by-step explanation:
Joe's income has been increasing each year by the same dollar amount.
This means that his salary after t years is given by:
\(S(t) = S(0) + at\)
In which S(0) is the initial salary and a is the yearly increase.
The first year his income was $22,000
This means that \(S(0) = 22000\). So
\(S(t) = S(0) + at\)
\(S(t) = 22000 + at\)
In the fourth year his income was $24,100
S(4) = 24100, and thus, we use this to find a.
\(S(t) = 22000 + at\)
\(24100 = 22000 + 4a\)
\(4a = 2100\)
\(a = \frac{2100}{4}\)
\(a = 525\)
So
\(S(t) = 22000 + 525t\)
In which year was his income 33,900
This is t for which S(t) = 33900. So
\(S(t) = 22000 + 525t\)
\(33900 = 22000 + 525t\)
\(525t = 11900\)
\(t = \frac{11900}{525}\)
\(t = 22.67\)
Rounding up, in the 23rd year his income was of $33,900.
4/7=×/6 what does × =
Answer:
3.42857143
Step-by-step explanation:
You multiply 4/7 by 6 to isolate the variable
Answer:
3 3/7 or 24/7
As a decimal: 3.42857143
Step-by-step explanation:
Rewrite the proportion:
4/7 = x/6
Multiply both sides by 6 to isolate x:
(4/7) * 6 = x
Multiply 4 and 6, 7 is multiplied by 1 since 6 = 6/1:
x = 24/7
Rewrite as mixed number:
7 * 3 = 21
24 - 21 = 3
x = 3 3/7
Brainliest, please :) (Hoping to become a genius)
a computer that normally cost 500 dolars was on sale for 200 dollars. what is the percent decrease. please show work for brainlist
Answer:
(100/500) *200 =40%
Step-by-step explanation:
One of the top 10 most common financial mistakes is paying off debt with savings. You have $1750.00 in your savings account. You decide to use 30% of your savings to pay off debt. How much will you pay off?
Responses
$525.00
$1225.00
$52500
$52.50
What is the slope of the line through the points (-4, 2) and (-16, -6)
Answer:
\(m = \frac{2}{3}\)
Step-by-step explanation:
Use the following equation:
slope \((m) = \frac{y^2 - y^1}{x^2 - x^1}\)
Set the variables with the points:
\((x_1 , y_1) = (-16 , -6)\\(x_2 , y_2) = (-4 , 2)\\\)
Plug in the corresponding numbers to the corresponding variables in the equation:
\(m = \frac{2 - (-6)}{-4 - (-16)}\)
\(m = \frac{2 - (-6)}{- 4 - (-16)} = \frac{2 + 6}{16 - 4} = \frac{8}{12}\)
slope \(m = \frac{8}{12}\) \(= \frac{2}{3}\) (simplified)
~
Answer:
2/3
Step-by-step explanation:
What rigid motion maps the solid-line figure onto the dotted-line figure?
A reflection
B. rotation
C. translation
Answer:
A. Reflection
Step-by-step explanation:
I believe the answer would be reflection
(Secx+1)/tanx - Sinx/1-cosx
Note that it is true to state that the expression (sec(x)+1)/tan(x) = (sin(x))/(1-cos(x)) is true for any known value of x except where cos(x) = 1 and x is an odd multiple of pi/2.
What is the rationale for the above response?We can start by manipulating the left-hand side of the equation using the trigonometric identities for secant, tangent, and Pythagorean identity for sine and cosine:
(sec(x) + 1) / tan(x)
= (1/cos(x) + 1) / (sin(x)/cos(x))
= ((1 + cos(x))/cos(x)) / (sin(x)/cos(x))
= (1 + cos(x)) / sin(x)
= [(1 + cos(x)) / sin(x)] * [(1 - cos(x)) / (1 - cos(x))]
= [(1 + cos(x)) * (1 - cos(x))] / [sin(x) * (1 - cos(x))]
= sin(x) / (1 - cos(x))
Therefore, we have shown that:
(sec(x) + 1) / tan(x) = sin(x) / (1 - cos(x))
Hence, the equation is true for any value of x, except where cos(x) = 1 and x is an odd multiple of pi/2.
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Full Question:
Note that the question seems incomplete. Thus, the rationale requirement here is to determine that the left side and the right side of the expression below are trully equal.
(sec(x)+1)/tan(x) = (sin(x))/(1-cos(x))
how can you find the area and perimeter?
After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape
What is equatiοn?An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.
The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:
1. Rectangle:
• Area: A = length x width
• Perimeter: P = 2(length + width)
2. Square:
• Area: A = side x side (οr A = side²)
• Perimeter: P = 4 x side
3. Circle:
• Area: A = π x radius²
• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)
4. Triangle:
• Area: A = (base x height) / 2
• Perimeter: P = side1 + side2 + side3
5. Trapezοid:
• Area: A = ((base1 + base2) x height) / 2
• Perimeter: P = side1 + side2 + side3 + side4
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What is the image point of (2,-5) after a translation right 4 units and up 3 units?
Answer:
(6,-2)
Step-by-step explanation:
You have the shape on your graph and move it up how ever many spaces it tells you and to the left or right however many times it tells you
Answer:
(6,-2)
Step-by-step explanation:
i hope this helps
Which algebraic expression is equivalent to the expression below
5(4x + 5) - 17
A.
20x + 9
B.
5x + 9
C.
20x + 42
D.
20x + 8
Answer:
20x + 8
Step-by-step explanation:
5*4x + 5*5 -17
20x +25 -17
20x + 8
HELP ASAP WILL MARK BRAINLIEST PLEASE!!
Express your answers in simplest form. An isosceles triangle has a base with a measure of u cm. If the triangle has a perimeter of 16 cm, what is the measure of one of its legs in terms of u?