Answer:
B: 8(N - 17) = 30
Step-by-step explanation:
Since the wording multiplies the difference by 8, the appropriate choice is B.
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A: "the difference of the product eight times a number and seventeen" It is less ambiguous if you can word it as "the difference of seventeen and the product of 8 and a number is negative 30".
C: "The difference of eight times a number and seventeen times the same number is thirty."
Answer:
-27 and -18
Step-by-step explanation:
Solve algebraically. Use a variable and an expression to represent the numbers.
let the smaller number be "x"
The bigger number is x + 9.
The two numbers are "x" and "x + 9".
The sum of two numbers means when you add them together. If their number is −45, then:
x + x + 9 = −45
Simplify and isolate "x" to solve in the equation.
x + x + 9 = −45 Collect like terms (numbers that have "x") to simplify
2x + 9 = −45 Isolate "x"
2x + 9 - 9 = −45 - 9 Subtract 9 from both sides
2x = −54
2x/2 = −54/2 Divide both sides by 2
x = -27 Value of smaller number
The bigger number is x + 9. Substitute "x" for -27 and solve.
x + 9
= -27 + 9 Add together
= -18 Value of bigger number
Therefore the two numbers are -27 and -18.
Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in
ratios give
h = 7(8)/8
h = 7
b = 8/2
b = 4
Area Triangle = 0.5(7)(4)
= 14
Then shaded region is the Area of the square minus the Area of the triangle.
A = 64 - 14
A = 50 in²
In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
