For which equation is m = 12 the solution? a. 4m=40 b. m+20=42. c. 4m=48. d. m-4=9
Answers
a. 4m = 40
4(12) = 40
48 = 40
48 obviously does not equal 40, so it is not choice A.
b. m + 20 = 42
12 + 20 = 42
32 = 42
Again, 32 isn't the same as 42, so not choice B either.
c. 4m = 48
4(12) = 48
48 = 48
It looks like this one is true, but let's solve D also just to make sure.
d. m - 4 = 9
12 - 4 = 9
8 = 9
This is false, since 8 does not equal 9.
Therefore, choice C (4m = 48) is the correct answer.
Hope that helped! =)
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Simplify (b^9)^3A.b^24B.b^6C.b^27D.b^9
Answers
Answer:
27
Step-by-step explanation:
first do 18/2 and then do 9x3 and you get 27
Final answer:
With the given ratio of 9 glasses per container, Myra can fill 27 glasses of iced tea by using 3 containers.
Explanation:
The subject of this question is ratio and proportion which falls under Mathematics. Based on the information given in the question, Myra can fill 18 glasses of iced tea with 2 containers. That's a ratio of 18 glasses to 2 containers, or simply put, 9 glasses per container (18 glasses ÷ 2 containers).
So when Myra tries to fill glasses with 3 containers of iced tea, we would just multiply the 'glasses per container' by the number of containers she is using. This calculated as (3 containers × 9 glasses/container) which equals 27 glasses. Hence, Myra can fill 27 glasses with 3 containers of tea.
Learn more about Ratio and Proportion here:
#SPJ2
Answers
Direct variation
Explanation:
Given –2 + 4y + 2 = 8x.
To find the given expression –2 + 4y + 2 = 8x is direct variation or not.
If y varies directly as x, then y = kx.
If y varies inversely as x, then
⇒ –2 + 4y + 2 = 8x
Combine like terms together.
⇒ –2 + 2 + 4y = 8x
⇒ 4y = 8x
Divide both sides of the equation by 4, we get
⇒ y = 2x
Which is in the format of y = kx.
Thus y varies directly as x.
Hence, –2 + 4y + 2 = 8x is direct variation.
show work please
Answers
n^2 + 7n + 10 = 0
(n + 5)(n + 2) = 0
n + 5 = 0
n = -5
n + 2 = 0
n = -2
Answer: n = -5 and -2
Answers
Answer:
30x-10
Step-by-step explanation:
multiply 5 to 6x =30x
multiply 5 to -2= -10
Answers
_square root_
Answers
I don't know the distance formula off the top of my head, so I'll draw a triangle and use the pythaorean theorem. This is what the points look like when plotted. Draw a line that connects them (will be hypotenuse) and draw two legs that connect to make a triangle. After you draw the legs, find their length and input it into the pythagorean theorem.
a² + b² = c²
4² + 8² = c²
16 + 64 = c²
80 = c²
The distance (hypotenuse) is √80 or approximately 8.95, rounded to 9 units.
Hope this helps!