Consider the following system of equations.

3x + 5y = 18
6x − 5y = 20

Decide which procedures eliminate the x variable and which eliminate the y variable. Drag and drop each procedure that will eliminate one of the variables into the appropriate category.

Subtract the second equation from the first equation.
Add the first and second equations. Multiply the first equation by −2; then add the two equations.
Divide the second equation by −2; then add the two equations. Subtract the first equation from the second equation.
Multiply the first equation by 2 then add the two equations.
Eliminate x Eliminate y

Answer:

A=250

r= 15%

Step-by-step explanation:

Given data

We have the function

y = 250(.85)^6------------1

The given function is the same as the exponential decrease

function

P=A(b)^t---------------------2

Note

b= 1-r= 1-0.15

b= 0.85

When we compare both 1 and 2 above

A=250

r= 15%

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

(10, -6) are the values to substitute in for x and y, respectively.

11(10) + 19(-6) = 110 - 114 = - 14

3(10) + 8(-6) = 30 - 48 = -18

Answer:

The complement of 46° = 44°

The supplement of 82° = 98°

Step-by-step explanation:

Complement means 90° - the angle (46°).

So, 90° - 46° = 44°

Supplement means 180° - the angle (82°)

So, 180° - 82° = 98°

The complement of 46° = 44°

The supplement of 82° = 98°

Complementary angles are two angles that have a sum of 90°.

Supplementary angles are two angles that have a sum of 180°.

According to the question

a. An angle measures 46°.

The measure of its complement :

The meaning of complementary angle is two angles that add up to 90 degrees.

Complementary angles = sum of two angles = 90 degrees.

x° = y° + z°

90° =  y° + z°

Given y° = 46°

z° = 90° -  y°

z° = 90° -  46°

z° = 44°

The measure of its complement is 44°.

b. An angle measures 82°.

The meaning of supplementary angle is two angles that add up to 180 degrees.

Supplementary angles = sum of two angles = 180 degrees.

a° = b° + c°

180° =  b° + c°

Given  b° =  82°

c° = 180° -  b°

z° = 180° -  82°

z° = 98°

The measure of its supplement is 98°.

Find out more information about complementary and supplementary angles here

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Answer:

Step-by-step explanation:

Answer:

the answer is 7×9=(7×10)-(7×1)

Answer:

1. 2x+4

2.2x-3

3.4x

4.3x-4

Answer:

40 m

Step-by-step explanation:

The length of another side

= 99÷11

= 9 m

The perimeter of the field

= 9×2 + 11×2

= 40 m

Answer:

40 m

Step-by-step explanation:

Hi there!

What we know:

1) Find the length of the other side

Plug all the given information into the area formula for a rectangle:

[tex]A=lw[/tex] where A is the area, l is the length and w is the width

[tex]99=11w[/tex]

Divide both sides by 11 to isolate w

[tex]\frac{99}{11} = \frac{11w}{11} \\9=w[/tex]

Therefore, the width of the field is 9 m.

2) Find the perimeter of the field

[tex]P=2(l+w)[/tex] where l is the length and w is the width

Plug in the length (11 m) and the width (9 m)

[tex]P=2(11+9)\\P=2(20)\\P=40[/tex]

Therefore, the perimeter of the field is 40 m.

I hope this helps!

Answer: 9/80

Step-by-step explanation:

Answer: x=1/2=0.5

Step-by-step explanation:

Given

3(2x) - 4(3x) + 3= 0

Expand parenthesis

6x - 12x + 3 = 0

Combine like terms

-6x + 3 = 0

Subtract 3 on both sides

-6x + 3 - 3 = 0 - 3

-6x = -3

Divide -6 on both sides

-6x / -6 = -3 / -6

x = 1/2 = 0.5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The focus of the ellipse are;

(-12·√(10), -8) and (12·√(10), -8)

Step-by-step explanation:

The given equation for the ellipse is presented as follows;

[tex]\dfrac{x^2}{46} + \dfrac{(y + 8)^2}{26} = 1[/tex]

From the general equation of the ellipse, we have;

[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

The focus of the ellipse are, (h - c₁, k) and (h + c₁, k)

By comparison, we get;

h = 0, k = -8, a = 46, b = 26

We have;

c² = a² - b²

c² = 46² - 26² = 1440

c = 12·√(10)

The focus of the ellipse are therefore;

(0 - 12·√(10), -8) = (-12·√(10), -8), and (0 + 12·√(10), -8) = (12·√(10), -8).

Step-by-step explanation:

Any positive number can. be a side length. It cannot pass 7 because a square with 49 sqr lnches as a area has side lengths with the measures of 7.

[tex]0 \leqslant x \leqslant 7[/tex]

Answer:

fist silde =is 15,4,25

second slide is=18

third slide is=15,31,25

Step-by-step explanation:

sorry i cant get the 4th and 5th ones. but i mean you can mark me brainliest.

hope you have a great day and god loves u<3

Answer:

6..... left side: 4, right side: 15 and 25 7.... 18 centimeters 8..... left side: 15 and 25, right side: 28 9..... 8 weeks 10.... left side: 20, right side: 27, 45.

Step-by-step explanation:

I hope this helped you! I would write the explanation for each problem but that would take to long.

Answer:

See below for answers

Step-by-step explanation:

y=5(2)ˣ

y=5(2)⁻²=5(1/2²)=5(1/4)=5/4

y=5(2)⁻¹=5(1/2¹)=5(1/2)=5/2

y=5(2)⁰=5(1)=5

y=5(2)¹=5(2)=10

y=5(2)²=5(4)=20

Write the system as an augmented matrix:

[tex]\left[\begin{array}{cc|c}1&5&22\\4&-7&7\end{array}\right][/tex]

Add -4 (row 1) to row 2 :

[tex]\left[\begin{array}{cc|c}1&5&22\\0&-27&-81\end{array}\right][/tex]

Multiply row 2 by -1/27 :

[tex]\left[\begin{array}{cc|c}1&5&22\\0&1&3\end{array}\right][/tex]

Add -5 (row 2) to row 1 :

[tex]\left[\begin{array}{cc|c}1&0&7\\0&1&3\end{array}\right][/tex]

Then x = 7 and y = 3.

Answer:

96 m^2

Step-by-step explanation:

1. Multiply base x height

  12 x 16 = 192

2. Divide by half

   192/2 = 96

Answer:

average temperatures on mars, then you get the hottest temperatures...

Step-by-step explanation:

Answer:

BD = 3.2.

CD = 2.4.

Step-by-step explanation:

By Pythagoras:

AB^2 = 3^2 + 4^2 = 25

AB = 5.

Triangles ADC and ACB are similar, so

AC / AB = AD / AC

3 / 5 = AD / 3

AD = 3*3/5

AD =  9/5 = 1.8

So BD = 5 - 1.8

= 3.2.

CD^2 = AC^2 - AD^2 (Pythagoras)

CD^2 = 3^2 - 1.8^2 = 5.76

CD = 2.4.

Answer:

64

Step-by-step explanation:

Organize the #s from small to big.

When trying to find range you take the MAX # - MIN #

The MAX # = 178

The MIN # = 114

178 - 114 = 64

Answer: The probablity is 1/3 I think :)

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

A pair of consecutive numbers is written as: N and N + 1

(where the larger page number is N + 1)

And we know that the product of these numbers is 1640.

Then:

(N)*(N + 1) = 1640

Solving for N, we get:

N^2 + N = 1640

N^2 + N - 1640 = 0

This is a quadratic equation, remember that for a general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

In our case, the solutions are:

[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]

Then the two solutions are:

N = (-1 + 81)/2 = 40

N = (-1 - 81)/2 = -41

Because N represents the number on a page, it only can be a positive value, then we take the positive solution.

Then the two consecutive numbers, N and N + 1

are:

N = 40

N + 1 = 41

The value of the larger page number is 41.

Answer:

l = (3x+5)

Step-by-step explanation:

Given that,

The area of a room, [tex]A=3x^2-x-10[/tex]

The width of the room, [tex]b=(x-2)[/tex]

We need to find the length of the room.

The area of the room is given by :

A = lb

[tex]l=\dfrac{A}{b}\\\\l=\dfrac{3x^2-x-10}{x-2}\\\\l=\dfrac{(x-2)(3x+5)}{x-2}\\\\l=(3x+5)[/tex]

So, the length of the room is equal to (3x+5).

Answer:

i dont know why u deleted my answer- but ok

Step-by-step explanation:

Answer:

a hope it helps make brainlliest

Answer:

x = 2

divide each term by 3 and simplify.

Answer:

I did the quiz and it is B

Step-by-step explanation:

Answer:

are you looking for the substiution

Step-by-step explanation:

Answer:

Hello! Your answer would be B)B

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia

Answer:

20$

Step-by-step explanation:

20percentage of 40=1/5×40

=8

Tony spent=8×$2.50=20