Answer: Yes, they are equal
Step-by-step explanation:
Quick statement: To find equivalent fractions, multiply or divide them by the same number.
In this particular example, you can divide 182 by 7 and get 26 and 21 by 7 to get 3. This symbols that they are equal. If you try the inverse operation (multiplication), you could multiply 26 by 7 and get 182. Same goes for 21 and 3: you multiply 3 by 7 to get 21. Just remember to multiply or divide the two numbers (numerator and denominator) by the same number to get an equivalent fraction.
1. Using "exact" interest, your charge will be
.. I = Prt
.. I = $855.28*0.154*(31/365)
.. I = $11.19
2. It will take 52.01 months to pay off the loan.
3. Your payment on 15,250 for 4 years will be $363.41. The effective interest rate that payment represents on a loan of $15,000 is 7.604%
4. Todd's monthly payments will be $409.06, so his total outlay will be
.. tax+license + down payment + loan repayment
.. = 1200 +1000 +48*409.06
.. ≈ $21,835
Answer:
y^3/(27 x^3)
Step-by-step explanation:
Simplify the following:
((3 x)/y)^(-3)
((3 x)/y)^(-3) = (y/(3 x))^3:
(y/(3 x))^3
Multiply each exponent in y/(3 x) by 3:
(y^3)/((3 x)^3)
Multiply each exponent in 3 x by 3:
y^3/(3^3 x^3)
3^3 = 3×3^2:
y^3/(3×3^2 x^3)
3^2 = 9:
y^3/(3×9 x^3)
3×9 = 27:
Answer: y^3/(27 x^3)
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
Dimensions of the room is given by
15 ft by 25 ft
Let x be the width around the rug.
So, new length = 15-2x
new breadth = 25-2x
Since Area of the rug = 264 sq. ft
So, it becomes,
![\text{Area of rug}=Length\times breadth\\\\264=(15-2x)(25-2x)\\\\264=375-30x-50x+4x^2\\\\264=375-80x+4x^2\\\\4x^2-80x+375-264=0\\\\4x^2-80x+111=0\\\\x=\dfrac{3}{2}\ or\ x=\dfrac{37}{2}\\\\x=1.5\ ft](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20rug%7D%3DLength%5Ctimes%20breadth%5C%5C%5C%5C264%3D%2815-2x%29%2825-2x%29%5C%5C%5C%5C264%3D375-30x-50x%2B4x%5E2%5C%5C%5C%5C264%3D375-80x%2B4x%5E2%5C%5C%5C%5C4x%5E2-80x%2B375-264%3D0%5C%5C%5C%5C4x%5E2-80x%2B111%3D0%5C%5C%5C%5Cx%3D%5Cdfrac%7B3%7D%7B2%7D%5C%20or%5C%20x%3D%5Cdfrac%7B37%7D%7B2%7D%5C%5C%5C%5Cx%3D1.5%5C%20ft)
Hence, Option 'a' is correct.
A:b = 8:5 b:c = 3:4
since both sides have b. make b the same. multiply the left by the right side b value of 3 and multiply the right by the left side b value of 5.
3(a:b) and 5(b:c)
3 (8:5) and 5(3:4)
24:15 15:20
now that both sides have the same b value
a:b:c = 24:15:20