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Arada [10]
2 years ago
13

A man sells a sofa for rs 3210 making a profit of 7% what would have been his profit percent if he had sold it for rs 3360?

Mathematics
1 answer:
Digiron [165]2 years ago
7 0
Let x be the original cost for the sofa.
X x (1 + 0.07) =3210
X = 3000
Now we know the cost for the sofa.
Let p be the profit percent.
3000 x (1 + p) = 3360
P = 0.12
So the percentage profit is 12%
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An Olympic athlete of mass 80kg competes in a 100m race. What is the best estimate of his mean kinetic energy during the race?
kipiarov [429]
For this question, you need to know that the average velocity of a 100m Olympic athlete is 10 m/s before you start solving the equation. The equation is K (energy in Jules) = 1/2 mv^2 (where m is the mass in kg and v the speed in meters per second). 
The correct answer is 4000J. To see how I got it, take a look at the attachment. 

3 0
1 year ago
Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is
scZoUnD [109]

Answer:

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

Step-by-step explanation:

From the given triangle JKL;

Hypotenuse KJ = 10.9

Length LJ is the opposite = 8.9cm

The angle LKJ is the angle opposite to side KJ = x

Using the SOH CAH TOA Identity;

sin theta = opp/hyp

sin LKJ = LJ/KJ

Sinx = 8.9/10.9

x = arcsin(8.9/10.9)

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

7 0
1 year ago
Read 2 more answers
There were 567 people at a concert when a band started playing. After each song, only one-third of the people stayed to hear the
Solnce55 [7]
To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.

At x = 0   y = 567
at x = 1   y = 567 - 567(1/3)
at x = 2   y = 567 - 567(1/3)(1/3)
at x = 3   y = 567 - 567(1/3)(1/3)(1/3)

Therefore, the number of people left after x songs would be represented by the equation:

y = 567 - 567(1/3)x
y = 567 ( 1- x/3 )
7 0
1 year ago
Read 2 more answers
Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50,an
Mila [183]

Answer:

Step-by-step explanation:

30 loaves of banana bread and nut bread at most

Banana bread is sold for $2.5

Nut bread is sold for $2.75

Total income she wants to make $44

Given that x represent loaves of bread

And y represent loaves of nut bread

First statement

She wants to make at most 30 of both loaves bread and nut, at most means the maximum she wanted to make is 30, so it is either 30 or less than 30.

Therefore the sum of the loaves bread and the nut bread is less or equal to 30.

Mathematically,

x+y≤30. Equation 1

Second statement

She wants to make at least a gain of $44, that is, the minimum money she wants to make is $44

Banana bread is sold for $2.5

Therefore she will make 2.5x by banking x nut bread

Nut bread is sold for $2.75

She will make 2.75y by baking y nut bread.

Therefore,

Since she wants to make at least $44,

The inequality is,

2.5x+2.75y≥ 44. equation 2

The inequalities model are

1. x+y≤30

2. 2.5x+2.75y≥ 44

3 0
1 year ago
Check each set that includes the number shown.
zavuch27 [327]

Answer:

Fourth option.

Sixth option.

Step-by-step explanation:

We know that:

- Any number you can find on the number line, is a Real number.

- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.

- A Rational number is that number that can be written in the following form:

\frac{a}{b}

Where "a" and "b" are integers (b\neq 0).

- An Irrational number cannot be written as a simple fraction.

- A Whole number is any of the numbers {{0, 1, 2, 3...}}. Every Whole number is a Rational number.

- Natural numbers contain  the set of positive integers{{1, 2, 3...}} or to the set of nonnegative integers {{0, 1, 2, 3...}}, Every Natural number is a Rational number.

 Based on this, since \frac{5}{9} is in the form \frac{a}{b} where a=5 and b=9, it is a Rational Number and therefore a Real number.

7 0
2 years ago
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