Answer:
4(30 +7) = 120 +28 = 148
Step-by-step explanation:
When applying the distributive property to integers, we usually break them apart according to place value. That is not the only way it can be done.
4×37 = 4(30 +7) = 4·30 +4·7 = 120 +28 = 148
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You can also break apart 37 other ways:
4×37 = 4(35 +2) = 4·35 +4·2 = 140 +8 = 148
4×37 = 4(40 -3) = 4·40 -4·3 = 160 -12 = 148
Or, you can break apart 4:
37×4 = 37(2 +2) = 37·2 +37·2 = 74 +74 = 148
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The distributive property is usually written in generic form as ...
a(b+c) = ab +ac
Then you may want to stop after the first couple of steps:
4(30 +7) = 4·30 +4·7
We can't tell if you're suppose to evaluate the expression or not. Check your reference materials for an example of this kind of problem.
Answer:
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Step-by-step explanation:
good day
Answer:
Given: Length of smaller cube= 1/4 feet each side
Length of larger cube= 3.75 feet
Width of larger cube= 3 feet
Height of larger cube= 3.25 feet
Step-by-step explanation:
Volume of a cube= length * width * height
Volume of a larger cube= 3.75 * 3 * 3.25 cubic foot
Volume=36.5625 cubic foot
Volume of smaller cube= length * length * length (as length is same on each side)
Volume of smaller cube= 1/4 * 1/4 * 1/4
Volume of smaller cube= 1/64 cubic foot
Hence, volume is calculated.
Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
x = [-5 ± √(25 - (-40) ) ] / ( -4 )
x = [-5 ± √(65) ] / ( -4)
x = [-5 ± sqrt(65) ] / ( -4 )
x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
