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3 years ago

The answer is 5,-2,-3 but i need help with steps that make sense

1 answer:

6 0

$\left\{\begin{array}{ccc}x+3y-z=2\\4x+2y+5z=1\\3x+z=12&\to z=12-3x\end{array}\right\\\\\text{substitute the value of z to the first and second equation}\\\\\left\{\begin{array}{ccc}x+3y-(12-3x)=2\\4x+2y+5(12-3x)=1\end{array}\right\\\\\left\{\begin{array}{ccc}x+3y-12+3x=2&|+12\\4x+2y+60-15x=1&|-60\end{array}\right\\\\\left\{\begin{array}{ccc}4x+3y=14&|\cdot2\\-11x+2y=-59&|\cdot(-3)\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}8x+6y=28\\33x-6y=177\end{array}\right}\ \ \ \ |\text{add both sides of the equations}\\.\ \ \ \ \ \ \ 41x=205\ \ \ \ |:41\\.\ \ \ \ \ \ \ x=5\\\\\text{substitute the value of x to the first equation}\\\\4(5)+3y=14\\20+3y=14\ \ \ \ |-20\\3y=-6\ \ \ \ \ |:3\\y=-2\\\\\text{substitute the value of x to the equation:}\ z=12-3x\\\\z=12-3(5)=12-15=-3\\\\x=5,\ y=-2,\ z=-3\to(5,\ -2,\ -3)$

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In a group of 25 girls, 8 ran for the cross country team, 13 are on the math league team, and 6 are on both teams. How many of t

Anna11 [10]

Answer:

10 girls are not on either team

Step-by-step explanation:

first subtract 6 from 8 to get 2 (since it's easier) because those 6 girls are on the math league team as well

next add 2 and 13 to get 15

last subtract 15 from 25 to get 10

8 0

3 years ago

Please help! Thank you if you do!

vekshin1

Answer:

8/50

5/50

10/50

38/50

45/50

Step-by-step explanation:

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3 years ago

Find the degree measure of each angle in the triangle.

Alex777 [14]

Answer:

∠R = 56°
∠Q = 90°
∠S = 34°

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

90°
(2x + 38)°
(5x - 11)°

Solving according to <u>angle sum property</u>,

Sum of all angles in a triangle is 180°

$\longrightarrow$ 90° + (2x + 38)° + (5x - 11)° = 180°

$\longrightarrow$ 117° + 7x = 180°

$\longrightarrow$ 7x = 180° - 117°

$\longrightarrow$ 7x = 63°

$\longrightarrow$ x = 9

Angles =

$\longrightarrow$ 2(9) + 38

$\longrightarrow$ 56°

$\longrightarrow$ 5(9) - 11

$\longrightarrow$ 34°

∠R = 56°
∠Q = 90°
∠S = 34°

The angles are 56°, 90° and 34°.

4 0

3 years ago

Solve the equation:<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%28y%2B2%29%5E%7B2%7D%20%7D%20%3D%20c" id="TexFormula1" titl

r-ruslan [8.4K]

Answer:

Not quite sure what you're meant to solve for, but my solution is below.

Step-by-step explanation:

The square root of a value squared is the absolute value of that value, because squaring removes all negatives. Therefore:

$\sqrt{(y+2)^2}=c$

$\mid y+2\mid=c$

$\mid y\mid =c-2$

Hope this helps!

7 0

3 years ago

Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find t

sashaice [31]

Answer:

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

What is the equation for this situation?

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

Learn more about equation in:

brainly.com/question/10413253

Step-by-step explanation:

8 0

2 years ago