Answer:
18y - 33z
Step-by-step explanation:
-2y-5(6z-4y)-3z
-2y-30z+20y-3z
-2y + 20y + -30z - 3z
18y - 33z
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Define x and y :
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Let x the number of 2.5M downloads.
Let y the number of 4.6M downloads.
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Construct Equations :
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There was a total of 1230 downloads.
⇒ x + y = 1230
Total downloaded size was 4797M.
⇒2.5x + 4.6y = 4797
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Find x and y :
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x + y = 1230 -------------------- (1)
2.5x + 4.6y = 4797 ------------ (2)
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From equation 1 :
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x + y = 1230
x = 1230 - y // Take away y on both sides
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Sub x = 1230 - y into equation 2 :
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2.5 (1230 - y) + 4.6y = 4797 // Sub x = 1230
3075 - 2.5y + 4.6y = 4797 // Apply distributive property
3075 + 2.1y = 4797 // Combine like terms
2.1y = 1722 // Take away 3075 from both sides
y = 820 // Divide by 2.1 on both sides
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Sub y = 820 into equation 1 to find x :
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x + y = 1230
x + 820 = 1230 // Sub y = 820
x = 410 // Take away 820 from both sides
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Find the number of each type of downloads :
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Number of 2.5M downloads = x = 410
Number of 4.6M downloads = y = 820
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Answer: There were 410 downloads for the standard version.
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Answer:
A.) 64°
B) 116°
C.) 32°
Step-by-step explanation:
Given that ΔDEG and ΔEGF are isosceles ;
∠EDG = 64º
Therefore ∠EDG = ∠DGE = 64º (Base Angle of an isosceles triangle are equal)
B.) ∠EGF + ∠DGE =180° (SUM OF ∠s on a straight line)
∠EGF + 64° = 180°
∠EGF = (180 - 64) = 116°
C.) x° = ∠EDG (BASE angles of an isosceles triangle are the same)
2x° + 116° = 180° (sum of angles in a triangle)
2x = 64°
x = 32°
Step-by-step explanation:
7=m*12
divide the equation by 12
7/12=12m/12
7/12=m
if you meant to type 7=m^12
then the answer for m is 7^(1/12)
which is 1.1760
Hope that helps :)
Answer: These lines are parallel
Step-by-step explanation: There are two equations. y=4x+6, and the second one equals y=4x-3. Because they have the same slope, they are parallel.