Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
= 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
= 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
= 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.
The product of trigonometric functions can be converted into sum ans vice versa. The given function is a product and we can convert it to a sum.One way is to expand the given expression and simplify it to find the result.
The second and easier option is to just remember the formulas of product to sum conversion identities. The 4 formulas for this case are listed below in the image.
Since we have the product of cos and sin, the sum will involve two sine functions connected by addition.
So the correct answer is option A
Answer:
what about 4
Step-by-step explanation:
Answer:
4 balloons
Step-by-step explanation:
3:6= 1:2
2*3= no. of guest, 1*3= no. of balloons
SO
2*4 (8)= number so guests, and 1*4 (4)= number of balloons
Volume is a three-dimensional scalar quantity. The volume of the cube with side length of 4 inches is 64 inches³.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. Therefore, the volume of cube with side 4 inches will be,
Volume of the cube = (4 in)³ = 64 in³
Hence, the volume of the cube with side length of 4 inches is 64 inches³.
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