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Phoenix [80]
3 years ago
13

What is y/6 - 3 = -11

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

Answer:

y=-48

Step-by-step explanation:

y/6-3=-11

y/6=-8

multiply 6/1 on each side

y=-48

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which one of following statement expresses a true proportion 3:4=9:12 b. 2:1=1:2 c. 7:9=8:9 d. 54:9=6:3
Flura [38]
A is the right one:
a. 3:4=9:12
    3×3:4×3=9:12
3 0
3 years ago
1/2x + 1/3y = 7
pashok25 [27]

let's multiply both sides in each equation by the LCD of all fractions in it, thus doing away with the denominator.

\begin{cases} \cfrac{1}{2}x+\cfrac{1}{3}y&=7\\\\ \cfrac{1}{4}x+\cfrac{2}{3}y&=6 \end{cases}\implies \begin{cases} \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{6}}{6\left( \cfrac{1}{2}x+\cfrac{1}{3}y \right)=6(7)}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{1}{4}x+\cfrac{2}{3}y\right)=12(6)} \end{cases}\implies \begin{cases} 3x+2y=42\\ 3x+8y=72 \end{cases} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{using elimination}}{ \begin{array}{llll} 3x+2y=42&\times -1\implies &\begin{matrix} -3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-2y=&-42\\ 3x+8y-72 &&~~\begin{matrix} 3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+8y=&72\\ \cline{3-4}\\ &&~\hfill 6y=&30 \end{array}} \\\\\\ y=\cfrac{30}{6}\implies \blacktriangleright y=5 \blacktriangleleft \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{substituting \underline{y} on the 1st equation}~\hfill }{3x+2(5)=42\implies 3x+10=42}\implies 3x=32 \\\\\\ x=\cfrac{32}{3}\implies \blacktriangleright x=10\frac{2}{3} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(10\frac{2}{3}~~,~~5 \right)~\hfill

7 0
3 years ago
For each point on the unit circle, select the angle that corresponds to it.
IgorC [24]

Answer:

A) 3π/4

B) 9π/7

C) 11π/6

Step-by-step explanation:

In the picture attached, the points are shown

Point A is between π/2 radians (90°) and π radians (180°). The only possible option is 3π/4

Point B is between π radians (180°) and 3π/2 radians (270°). The only possible option is 9π/7

Point C is between 3π/2 radians (270°) and 2π radians (360°). The only possible option is 11π/6

7 0
3 years ago
The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the ro
Yuki888 [10]

Answer:

[ext]T(x) = 2C / Speed[/ext]

Step-by-step explanation:

[ext]Time taken for the Ranger to get to the car = Sum total time taken to travel in the forest and on the road[/ext]

Since [ext]distance of the Ranger to the car = C[/ext]

[ext]Time taken = distance/speed[/ext]

[ext]Total Time taken T(x) = 2 * C / speed[/ext]

T(x) = 2C / speed

4 0
3 years ago
How would you solve
harkovskaia [24]

4r^-3 * 2r^2 =

4*(2r^(-3+2))

= 4*2r^-1

= 4*2(1/r)

= 4*(2/r)

=8/r

4 0
3 years ago
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