Here is how I would show the work for this problem
5- (a-4) = 3 (a+2)
5-a+4 = 3*a+3*2
5-a+4 = 3a+6
-a+9 = 3a+6
-a+9+a = 3a+6+a
9 = 4a+6
9-6 = 4a+6-6
3 = 4a
4a = 3
4a/4 = 3/4
a = 3/4
So the solution is the fraction a = 3/4 (in decimal form 0.75)
Let me know if you have any questions or issues with any of the steps shown above. It's a lot to take in so feel free to ask about anything really.
Answer:
Circle
Step-by-step explanation:
When a plane passes through a 3-dimensional figure to create a cross section that is parallel to the base, the resulting 2-dimensional shape of the cross section is the same as the shape of the base.
The base of an ice cream cone is a circle, therefore the answer is circle
Answer:
20 ft long; 12 ft wide
Step-by-step explanation:
Let w = the width of the garden
Then l = w + 8
A = lw
A = (w + 8)w
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The sidewalk is 4 ft wide, so, for the big rectangle consisting of garden plus sidewalk:
Width = w +8
Length = w + 16
Area = (w + 8)(w + 16)
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The <em>difference</em> between the two areas is the area of the sidewalk (320 ft²).
(w + 8)(w + 16) - (w + 8)w = 320 Factor out w + 8
(w+ 8)(w + 16 – w) = 320 Combine like terms
(w+ 8) × 16 = 320 Divide each side by 16
w + 8 = 20 Subtract 8 from each side
w = 12 ft
l = 12 + 8
l = 20 ft
The garden is 20 ft long by 12 ft wide.
Answer:
In an equation of the form y = mx + b the slope is represented by "m".
Therefore, the slope of y= 2/3 x +5 is (2/3)
Step-by-step explanation:
Answer: $16
with the base being $6, you can write the equation 6 + .5x = y
“x” is represented by the number of songs downloaded, so we can replace x with 20
y is the total amount of money
6 + .5(20) = y
now, all you have to do is solve
6 + 10 = y
16 = y