The value of the mixed number is A = 27/10
A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
Given data ,
Let the mixed number be represented as A
Now , the equation will be
A = 2 7/10 be equation (1)
On converting the mixed number to an improper fraction , we get
Multiply the whole number by the denominator and add the numerator to it to get the new numerator of the improper fraction
So , A = [ ( 2 x 10 ) + 7 ] / 10
On simplifying the equation , we get
A = 27/10
Hence , the mixed number to improper fraction is A = 27/10
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a) The cost price of the jacket after the decreased amount is $ 35
b) The cost price of 2 jackets is $ 70
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the price of the jacket after decrease be = A
Now , the equation will be
The original price of the jacket = $ 39.50
The amount decrease in the price of the jacket = $ 4.50
So , the cost price of the jacket after the decrease in price is = original price of the jacket - amount decrease in the price of the jacket
Substituting the values in the equation , we get
The cost price of the jacket = 39.50 - 4.50
The cost price of the jacket = $ 35.00
So , the cost price of the jacket is $ 35.00
Now , the cost price of 2 jackets is = 2 x sale price of the jacket
Substituting the values in the equation , we get
The cost price of 2 jackets is = 2 x 35
The cost price of 2 jackets is = $ 70
Therefore , The cost price of 2 jackets is $ 70
Hence ,
a) The cost price of the jacket after the decreased amount is $ 35
b) The cost price of 2 jackets is $ 70
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The given equation (9x100) + (8x10) = 7(1/1000) as a decimal is 980 = 0.007.
To convert the given expression into a decimal, we first need to evaluate the arithmetic expression on the left-hand side: (9x100) + (8x10). This can be done by simplifying the multiplication operations first, then performing the addition. Multiplying 9 by 100 gives us 900, and multiplying 8 by 10 gives us 80. Adding these two results together, we get 980. So the left-hand side of the equation becomes 980.
Next, let's convert the right-hand side of the equation, 7(1/1000), into a decimal. To do this, we need to divide 1 by 1000. Dividing 1 by 1000 gives us the decimal 0.001. Finally, we multiply this decimal by 7, giving us 0.007.
Therefore, the given equation (9x100) + (8x10) = 7(1/1000) as a decimal is 980 = 0.007.
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____ cm3
B.18 M
C. 24 M
D. 48 M
Please show work..Not for a cheat but I am struggling understanding proportions and algebra. Thank you
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Length of a fence on a scale drawing = 6 cm
Scale = 1 cm : 4 m
Let the actual length of the fence be x
Since there is direct variation between the scale and actual.
According to ratio, we will have,
Hence, Option 'C' is correct.
She bought 2 fancy shirts and 5 plain shirts.
2 x 28=$56, and 5x15=$75. 75 plus 56 is 131