Write an expression that simplifies to 160 using the commutative and associative properties
Answers
Answer:
Let's say we have an expression x * y + z * w, where x, y, z and w are numbers.
We can use the commutative property to change the order of the summands:
x * y + z * w = y * x + w * z = (y + z) * x + w
Since we have a sum of two products, we can use the associative property to combine them:
(y + w) * (x + 15) = 160
By dividing both sides of the equation by 2, we get:
(y + w) / 2 * (x + 15) / 2 = 80
We can then simplify this expression using the distributive property:
(y / 2) + (w / 2) * (x / 2) + (15 / 2)
Since the numbers are all positive, we can cancel out the halves on the left, and combine the remaining terms:
y / 2 + (w / 2) * x + 15 / 2 = 80
Finally, we can simplify this expression by dividing both sides of the equation by the constant fraction:
y / 2 + (w / 2) * x + 15 / 2 = 80
(y / 2) + (w / 2) * (x / 2) + (15 / 2) = 80
Simplifying this expression, we get y / 2 + (w / 2) * x / 2 + 15 / 2 = 40.
By simplifying the last term further, we get:
y / 2 + (w / 2) * x / 2 + 7.5 = 40
Therefore, the equation that simplifies to 160 is this one:
y / 2 + (w / 2) * x / 2 + 7.5
I hope this helps!
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3x+8y=-1 -3x+y=-17Solve with addition method and get the points for x and y
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a coupon: $49.99 - $10 = $39.99
Costmart: 25% of $49.99 = 25% * 49.99 = 25/100 * 49.99 = $12.4975 = $12.50
$49.99 - $12.50 = $37.49
Guillmero will get a better price at Costmart.
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B. 60 inches to 76 inches
C. 64 inches to 72 inches
D. 52 inches to 84 inches
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If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height within ranges of; 52 inches to 84 inches.
What do you mean by standard deviation?
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
We know that at 99.7% the measurements would be within 2 standard deviations of the mean.
Mean of 68 inches
Standard Deviation of 4
The lower range = 68– 4(4)= 52 inches
The upper range = 68+ 4(4) = 84 inches
Thus, the option (D) 52 inches to 84 inches is correct after using the empirical Rule.
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==>h=3*4=12
[68-12, 68+12] is the interval
Answer A
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represents in this situation.
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f is the intercept and represents the initial fee or setup cost. Hence, the setup cost is 65.
The given equation is 201.50 = f +6.50(21).
We need to find the solution to the equation and state what it represents in this situation.
What is an equation?
Equations are mathematical statements containing twoalgebraicexpressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Now, the equation 201.50 = f +6.50(21) can be solved as follows:
201.50 = f + 136.5
⇒f = 65
f is the intercept and represents the initial fee or setup cost. Hence, the setup cost is 65.
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Answer: 65
Step-by-step explanation:
It represents the setup fee
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Answer:
and
Step-by-step explanation:
First, let's calculate the volume. The volume of a cube is where s is the side. Then,
Now, the surface area will be the sum of the areas of each face. Each face of the cube is a square and the area of a square is , also we know that the cube has 6 faces, then the surface area of the cube will be
, so
The equation to find the lateral area is: perimeter*height. So you would add 5.5 four times since its a square. It would equal 22. Then you would multiply it by the height of which is also 5.5. 5.5*22=121.
Now that you have all the information just plug it back in the equation.(side note, because cubes are prisms you have two bases which is why you multiply them by two.) 2*30.25+121=181.5
your awnser is 185.5cm squared