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statuscvo [17]
2 years ago
15

How many solutions does each system of equations have?

Mathematics
1 answer:
melamori03 [73]2 years ago
6 0

Answers: y= 5x-4

Step-by-step explanation:

Steps:

[y=5x-4

12=15x-3y]

Substitute y=5x-4

[ 12=15x-3(5x-4) ]

Simplify

The solution is

y= 5x-4

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In a survey 27% of people chose salads over meat. In all 81 people chose salads. how many people are in the survey?
Lynna [10]
.27(x) = 81

x = 81/.27

x=300 people
7 0
3 years ago
Use the following triangle to find Sec theta.
makkiz [27]

Answer:

\frac{\sqrt{41}}{4}

Step-by-step explanation:

sec(theta) is defined as: sec(\theta)=\frac{1}{cos(\theta)} = \frac{hypotenuse}{adjacent}

In the diagram you provided the hypotenuse of the triangle is sqrt(41) and the opposite side is 5, using these two sides, we can solve for the adjacent side by using the Pythagorean Theorem: a^2+b^2=c^2

So this gives us the equation where a=adjacent side:

a^2+5^2=\sqrt{41}^2

a^2+25=41

Subtract 25 from both sides

a^2=16

Take the square root of both sides

a=4

So now plug this into the definition of sec(theta) and you get: \frac{\sqrt{41}}{4}. This is in most simplified form since 41, has no factors besides 41 and 1.

7 0
2 years ago
Which expression is equivalent to 2/3 (6x − 9y)?
k0ka [10]

Answer:

4x - 6y

Step-by-step explanation:

\frac{2}{3} (6x - 9y) \\  \\  =  \frac{2}{3}  \times 6x -\frac{2}{3}  \times 9y \\  \\  = 2 \times 2x - 2 \times 3y \\  \\  = 4x - 6y \\  is \: equivalent \: expression.

7 0
3 years ago
Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?
Sergeu [11.5K]

Answer:

option: B is correct

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".

Hence, option B is correct.

( A reflection across line n followed by a 270° rotation about point P )

5 0
3 years ago
Read 2 more answers
I need help with 1 AND b, please explain!
Thepotemich [5.8K]
First answer is 27
Multiply -3 with -1
Then multiply it to the 3rd power.


2nd answer is 1 / 1296
First add the expoinents
-12 +8 = -4

Then you would need to do the equation
6^-4 x 6^0
And this would equal 1/1296

Please mark Brainliest :)
4 0
3 years ago
Read 2 more answers
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