Solve the system of equations using elimination. How many solutions does the system have?

15x + 12y = 18
5x + 4y = 6

Answers

Answer 1

Answer:

  infinite solutions

Step-by-step explanation:

The coefficient of x in the first equation is 3 times the coefficient of x in the second equation. This means we can eliminate x by subtracting 3 times the second equation from the first:

  (15x +12y) -3(5x +4y) = (18) -3(6)

  0 = 0 . . . . . simplify (true for all values of x or y)

The system of equations has an infinite number of solutions.


Related Questions

In the figure shown, P is the circumcenter of XYZ, PY=5x-4, and PZ=4x+11. Find PX.

Answers

Answer: 71

Step-by-step explanation:

5a-5b=5
a+b=3
Método sustitución

Answers

Answer:

a=2

b=1

Step-by-step explanation:

5a-5b=5

a+b=3

-a     -a

b=3-a

5a-5(3-a)=5

5a-5(3)-5(-a)=5

5a-15+5a=5

10a-15=5

10a=20

a=2

2+b=3

b=1

5(2)-5b=5

10-5b=5

-5b=-5

b=1

Answer:

a = 2

b = 1

Step-by-step explanation:

5a - 5b = 5

a + b = 3

----------------------

5(a + b = 3)

= 5a + 5b = 15

---------------------------

5a - 5b = 5

5a + 5b = 15

10a = 20

÷10    ÷10

a = 2

-----------------------------

a + b = 3

2 + b = 3

-2        -2

b = 1

---------------------------

I hope this helps!

Yesterday your math homework to Q 35 minutes and your English homework. Tookie 15 minutes today your math homework take you 25 minutes and your English homework to do 30 minutes. What percent of your homework time yesterday we spent on English?

Answers

Answer:

  30%

Step-by-step explanation:

To find the percentage spent on English, divide the amount of time spent on English by the total time, and express the fraction as a percent.

  Yesterday's time: Math, 35 minutes; English, 15 minutes

  English/Total = (15)/(15 +35) = 15/50 = 3/10

As a percentage, that is ...

  3/10 × 100% = 30%

Yesterday, you spent 30% of your homework time on English.

Which of the following conditions make a pair of triangles congruent?

Answers

Step-by-step explanation:

Two corresponding sides and two corresponding angles are equal

Please help (brainliest) 40 points

Answers

Answer:

So longest side is 6 units more then the shorter side

The third side is twice the length of the shortest side

The perimeter (all 3 sides added up) is 25.

What’s the 3 sides of the triangle.

So lets make variables.

Let’s make the shortest side of the triangle “s”.

The longest side is 6 units more then the shorter side so

S + 6 is the longest side.

The third side is twice the length of the shortest side so

2S is the third side

S of course is already the shortest side now solve.

s + 6 + 2s + s = 25 <— This is your equation

Now solve

4s + 6 =25

4s = 19

s = 4.75

The shortest side is 4.75

The longest side is 4.75 + 6 which is 10.75

The third side is 2 times the shortest side which is 4.75 * 2 which is 9.50

Answer:

Perimeter of a shape = sum of length of all sides

Let x = shortest side

Given:

shortest side = xlongest side = x + 6third side = 2xperimeter = 25

⇒ perimeter:   x + (x + 6) + 2x = 25

                                      4x + 6 = 25

                                             4x = 19

                                               x = 4.75

Therefore,

shortest side = 4.75 unitslongest side = 10.75 unitsthird side = 9.5 units

The balance in Ms. Almquist's bank account is $428.25. She goes on shopping spree and
spends $63.13 every hour for the next six hours. How much did she spend on clothing?

Answers

She spend $37,878 but I am not sure cause it say she has $428.25 in her bank I hope this helps

CSM Tech Publishing has added a branch office with about 50 users. The HR Department has given you a spreadsheet with the employee information that includes the employee name, office location, department, title, and so forth. Describe at least two different methods you can use to add these user accounts to Active Directory that don't involve manual creation of each account from scratch

Answers

The two (2) methods that can be used to add these user accounts to Active Directory are:

PowerShellBatch file

What is account management?

Account management can be defined as a process through which administrators store, manage, monitor and optimize a database (accounts) on a computer system, especially for improved performance, availability and security.

In a database management system (DBMS), when many user accounts require an action, it is often most efficient and effective for the administrator to use an automatic method to perform the action.

In this context, the two (2) methods that can be used to add these user accounts to Active Directory without a manual creation of each account from scratch include the following:

PowerShellBatch file

Read more on PowerShell here: https://brainly.com/question/4252986

Find the area of the larger sector.
6 in
O 30°

Answers

Answer:=103.67in^2

Step-by-step explanation:
Sector area= r^2×a/2
. =36×0.5233 /2
Asector= 9.42in^2
Area of circle= πr^2
. =3.14×36
area of circle = 113.097in^2
Area of larger sector = area of circle- area of Sector
Area of larger sector
=113.097in^2 - 9.42in^2
=103.67in^2

A set of data has a mean of 12 and a standard deviation of 3. A data point of the set has a z-score of 1. 3. What does a z-score of 1. 3 mean?.

Answers

Answer:

cccccccccccccccccccc

Step-by-step explanation:

cccccccccccccccccccccccc

ratio 90kg to 2 : 3 : 7

Answers

Answer:

Please follow me back

Step-by-step explanation:

The Answer is 158

Q5. The coordinates of A and B on a number line are -7 and 9. The coordinates
of C and D on a number line -4 and 12. Are AB and CD congruent? If yes, what
is the length of each segment?

Answers

Answer:

are congruentlength: 16 units

Step-by-step explanation:

The length of a segment on a number line is the difference of its coordinates.

  AB = 9 -(-7) = 16

  CD = 12 -(-4) = 16

AB and CD both have a length of 16 units, so are congruent.


Need help in less than 5 minutes brainliest to the first/most helpful answer!! Need it speedy!!!!

Answers

Answer:

1.) True

2.) False

3.) True

4.) True

A printer wants to put 54 square inches of text into a rectangle on an 8 by 11 sheet of paper. She wants the text to be surrounded by a border of constant width. Which equation could be used to find the width of the border, x?

Please help I will give a lot of points.

Answers

By solving a quadratic equation, we will see that the border must measure 1 inch.

How to find the value of x?

The dimensions of the paper are 8 inches by 11 inches. If we have a border of width X all around the text, the dimensions of the text will be:

8 in - 2x by 11in - 2x.

The area of this rectangle will be:

A = (8 in - 2x)*(11in - 2x)

And we know that the area must be 54 square inches, then we need to solve:

54 in^2 =  (8 in - 2x)*(11in - 2x)

54 in^2 = 88 in^2 - (2x)*8in - (2x)*11in + 4x^2

54 in^2 = 88 in^2 - (38 in)*x + 4x^2

This is a quadratic equation, we can rewrite this as:

0 = 4x^2 - (38 in)*x + 88 in^2 - 54 in^2

0 = 4x^2 - (38 in)*x + 34 in^2

The solutions are given by Bhaskara's formula, these are:

[tex]x = \frac{-(-38 in) \pm \sqrt{(-38 in)^2 - 4*4*(34 in)^2} }{2*4} \\\\x = \frac{-(-38 in) \pm 30 in }{8} \\[/tex]

We only care for the solution that is on the wanted range, so we use the negative sign of the plus-minus sign.

x = (38 in - 30 in)/ = 1 in

So the border must measure 1 inch.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

If △ABC is a right triangle, A = 37° and AB = 12, then find the lengths of B C and A C . Round your answers to the nearest integer

Answers

Answer:

BC= 9.04

AC= 15.0

mark brainliest

Answer:

  BC ≈ 9

  AC ≈ 15

Step-by-step explanation:

The side adjacent to the given angle is the one whose length is known, so the relevant trig relations are ...

  Cos = Adjacent/Hypotenuse   ⇒   cos(37°) = AB/AC

  Tan = Opposite/Adjacent   ⇒   tan(37°) = BC/AB

Then the unknown sides are ...

  AC = AB/cos(37°) = 12/cos(37°) ≈ 15

  BC = AB·tan(37°) = 12·tan(37°) ≈ 9

__

Additional comment

Rounded to the nearest degree, angles 37° and 53° are the acute angles found in a 3-4-5 right triangle. Since the given side is adjacent to the smallest acute angle (not the hypotenuse), it will correspond to "4" in the 3-4-5 triangle. That means the scale factor is 12/4 = 3, and the other two sides are 3·3 = 9 and 3·5 = 15.

The numbers work out this way only by rounding to tenths or integers.

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Answers

Answer:

(8,0)

Step-by-step explanation

Which function is equivalent to y = 4(1 – 2)? +10? Oy=412 - 40 + 14 Oy=4.62 - 160 +26 Oy=42+ 14 Oy=412 - 161 +56​

Answers

I have no idea what any of this means 187 I just want points

If it takes 2.3 liters of milk to make 2 pounds of cheese, how many pounds of cheese can you make with 50 liters of milk?

Answers

Answer:

10.9 pounds

Step-by-step explanation:

50 ÷ (2.3*2) = 10.869

Perform the following operation and express the answer in scientific notation 9.2x10^7 / 3.7x10^9

Answers

Answer:

the coefficient is 96 and the exponent is 16... should I explain how?

The solution of the expression is 2.486 * 10⁻².

What is Scientific Notation?

Scientific Notations are used to write very small and very large numbers.

The expression is (9.2 * 10⁷ ) / (3.7 *10⁹)

The exponent rule will be applied to solve this expression

[tex]\rm \dfrac{a^m}{a^n} = a^{m-n}[/tex]

9.2/3.7 = 2.486

10⁷ / 10⁹ = 10⁻²

The solution of the expression is 2.486 * 10⁻².

To know more about Scientific Notation

https://brainly.com/question/18073768

#SPJ2

What happens when the slope increases? Write 4 sentence's

Answers

Answer:

The higher the slope, the steeper it is, the faster it increases. The faster we increase in the vertical direction as we increase in the horizontal direction. The graph of an increasing function has a positive slope. A line with a positive slope slants upward from left to right as in (a).

Step-by-step explanation:

Pls, choose me as brainliest!

What is the exact value of sin(5π/4)?

− 1/2
√2/2
1/2
− √2/2

Answers

- square root 2 / 2. Sorry I don’t know how to make that symbol

Flowers: $54 Sale: 15% off What is the new cost of the flowers?

Answers

Answer:$45.90

Step-by-step explanation:

Answer:

45.9

Step-by-step explanation:

15% of 54=

10%=5.4

5%=2.7

5.4+2.7=8.1

54-8.1=45.9


Which expression(s) are factors of -15abc - 45ab + 20abc?

Answers

Answer:

-5ab, 5ab, and ab.

Step-by-step explanation:

I need help quickly!!

Answers

Answer:

c. 73°

Step-by-step explanation:

Simply GNH is 47° by vertically opposite angle of MNL

NOW,

GNF+GNH+HNK=180° [ being straight line]

60+47+HNK=180

107+HNK=180

HNK=180-107=73

C. 73 degrees hope this helps

A sports trainer has monthly costs of $65. 94 for phone service and $42. 23 for his website and advertising. In addition, he pays a $30 fee to the gym for each session in which he trains a client. Write a cost function to represent the C(x) for x training sessions. C(x) =

Answers

Answer:

C(x) = 30x + 108.17

Hope this helps!

x = training sessions

$30 for each session (x) (independent variable)

$65. 94 and $42. 23 for monthly costs (fixed variable)

C(x) = 30x + (65.94+42.23)

C(x) = 30x + 108.17

find the area of a circle with the diameter of 10 cm

Answers

Answer:

In terms of pi: 100pi cm

In terms of 3.14: 314 cm

Step-by-step explanation:

The formula for area of a circle is pi*r². If we plug in the values, we can figure out the answer.

please someone tell me the answers to these I dont remember how to do it ​

Answers

Answer:

1)  (3 - 6x)(-8) = (-8)(3) - (-8)(6x) = -24 - (-48x) = -24 + 48x = 48x - 24

2) (-12)(2x - 3) = (-12)(2x) - (-12)(3) = -24x - (-36) = -24x + 36 = 36 -  24x

3) (10 - 2x)9 = (9)(10) - (9)(2x) = 90 - 18x

4) (-5)(11x - 2) = (-5)(11x) - (-5)(2) = -55x - (-10) = -55x + 10 = 10 - 55x

5) (1 - 9x)(-10) = (-10)(1) - (-10)(9x) = -10 - (-90x) = -10 + 90x = 90x - 10

6) (-6)(x + 8) = (-6)(x) + (-6)(8) = -6x + (-48) = -6x - 48

7) (-4 + 3x)(-8) = (-8)(-4) + (-8)(3x) = 32 + (-24x) = 32 - 24x

8) (-5)(1 - 11x) = (-5)(1) - (-5)(11x) = -5 - (-55x) = -5 + 55x = 55x -5

9) (-12x + 14)(-5) = (-5)(-12x) + (-5)(14) = 60x + (-70) = 60x - 70

Step-by-step explanation:

The distributive property is a(b + c) = ab + ac

Find the length of 1 side of square if the area is 49 sq.cm
method needed

Answers

Answer:

It would be 7cm

Step-by-step explanation:

please find step by step explanation on the picture

IM CONFUSED LOL...................

Answers

Answer: three more

Step-by-step explanation:

these are tally marks, one tally mark counts as one, during the fifth mark, it goes sideways across the other four. There are three more students who wanted cookies rather than popcorn because when you minus the numbers of students cookies from popcorn, you get three

Hope this helps

Please give brainliest

Thank you so much

Which cream cheese has the lowest price per ounce?

$5.29 for 14 oz

$2.59 for 6 oz

$4.29 for 12 oz

$2.89 for 8 oz

Answers

Answer:

C

Step-by-step explanation:

$4.29 for 12 oz

12 = 4.29

1 = ??
(1 * 4.29)/12 = 4.29/12 = 0.3575 is the lowest amongst others

The answer is C

Here is some help

Cone - Opolis
Can someone help pls help with this, sorry for any trouble This is geometry volume btw

Answers

To find the area of ​​different geometric figures, different mathematical formulas must be used, such as: A = Π x r², A = b x h, A = b x h, among others.

How to calculate the area of ​​a circle?

To calculate the area of ​​a circle we must use the following mathematical formula:

A = π x r²

In this formula we have the value of π, which is equal to 3.14, and the value of , which is equal to the radius of the circle squared. For example:

A = 3.14 × 10²A = 3.14 x 100A = 314 cm²

How to calculate the area of ​​a rectangle?

To calculate the area of ​​a rectangle it is necessary to use the following mathematical formula:

A = b × h, in this formula b is equal to the length of the base and h to the length of the height of the rectangle. For example:

A = 3cm×7cmA = 21cm²

How to calculate the area of ​​a square?

To calculate the area of ​​a square it is necessary to use the following formula:

A = b × c

In this formula b represents the base of the base and c the length of the side of the square; we must take into account that the base and the side have the same length in a square. For example:

A = 5 × 5A = 25cm²

Learn more about geometric figures in: https://brainly.com/question/26170471

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