Alejandra currently has a balance of $2,254 in her checking account. She deposits a $873.84 paycheck, a $25 rebate check, and a personal check for $358 into her checking account. She wants to receive $350 in cash. How much will she have in her account after the transaction?

The given equation is derivable from the system of equations.

Response:

Given:

The system of equation is presented as follows;

[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]

Therefore, by subtracting equation (2) from equation (1), we have;

(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions

13·x - 13·y = 29 - 55 = -26

13·x - 13·y = -26, which is the given equation

Given that the operation performed on equation (1) and (2) is the

subtraction of equivalent expressions, we have, that the solution for the

given equation, 13·x - 13·y = -26 is the same as the solution for given

system of equations.

The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;

Learn more about simultaneous equations here:

https://brainly.com/question/10724274

Answer:

6x +2=3

Step-by-step explanation:

x would represent the unknown number

The sum refers to addition

6 times a number would be 6x (you can use any variable, but for this example, I'm using x)

When you put it all together, it is 6x + 2 = 3

Answer:

-+=- is true

Step-by-step explanation:

because - and+ are equal to -

but - and- are eqial to +

Answer:

25 maybe I don't now ok because is house a is 24 maybe house b will be 25

9514 1404 393

Answer:

  (a)  29/69

Step-by-step explanation:

It can help to be familiar with divisibility rules. Even numbers are divisible by 2, so the fraction 174/414 can immediately be reduced to 87/207.

Both numbers have a digit total that is divisible by 3, so each of these numbers can further be divided by 3, reducing the fraction to 29/69. The number 29 is prime, so this fraction cannot be reduced further.

The reduced fraction is ...

  made shots/attempts = 174/414 = 29/69

__

Additional comment

As is often the case, a calculator can help you identify arithmetic expressions that have the same value (are equivalent).

  174/414 ≈ 0.42028986

  29/69 ≈ 0.42028986 . . . . same value

  87/207 ≈ 0.42028986 . . . . same value, but 29/69 is reduced

  17/41 ≈ 0.41453415 . . . . . not equivalent

  14/46 ≈ 0.30434783 . . . .not equivalent (and not reduced; both numbers are even)

Answer:

f(x) = 25 * 1.25ˣ

Step-by-step explanation:

Use Desmos

Search it up

The uniform width of the frame is 16.61 inches.

Since a rectangular canvas picture measures 12 inches by 28 inches, and the canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches, to find the uniform width of the frame you must perform the following calculation:

Therefore, the uniform width of the frame is 16.61 inches.

Learn more in https://brainly.com/question/15218328

Answer:

15%

Step-by-step explanation:

Add 195 to 1300, which gives you, 1495.

Use the formula for percent change:  Difference = % * original price.

So what is the difference between 1495 and 1300? It’s 195.

Now we have 195 as the difference.

Do we know the original price of the TV? Yes we do. What is it? Its 1300 because the question states the TV costs $1300.

Now we have the equation 195 = % * 1300

We don’t know the percentage, right? So now we have to solve for %. To do that, you have to do 195 divided by 1300, which gives you 0.15. Lastly, you have to turn 0.15 into a percentage, to do that, multiply 0.15 by 100, and it should give you 15%.

Therefore, 15% is the down payment. Hope this helps!

Answer:

6 hours will have past if it's then -2°C

Answer:

base = 12; height = 3

Step-by-step explanation:

Area: ( b x h ) / 2

base: 2x

height: (x - 3)

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

( ( 2x )*( x - 3 ) )/ 2 = 18

( 2x ^2 - 6x ) = 36

2x ^2 - 6x - 36 = 0

(quadratic formula)

x = 6

x = -3

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

taking the positive value : x = 6

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

base: 2x = 2(6) = 12

height: x - 3 = 6 - 3 = 3

Answer:

[tex]20 = (x + 1) \times 10 \times 0.5 \\ = 5 \times (x + 1) \\ x + 1 = 20 \div 5 = 4 \\ x = 4 - 1 = 3 \\ enjoy \: it[/tex]

Answer:

-360

Step-by-step explanation:

hope this helps!

Answer:

-360

Step-by-step explanation:

[-1 3/5 × (-6)] × (-3 3/4) × 10

= [-8/5×-6] × -15/4×10

= 48/5×-15/4×10

= -360

Answer:

3 1/2

Step-by-step explanation:

3/7 = 0.429

1/2 = 0.5

Hopefully this helps!

Brainliest please?

[tex]70 + 7z \\ = 7(10 + z)[/tex]

7(10+z)

Answer:

60x^2 + 40x - 48xy - 32y

Step-by-step explanation:

Let's solve this using the FOIL (first, inner, outer, last) method.

(10x-8y) (6x+4)

= 10x × 6x + 10x × 4 - 8y × 6x - 8y × 4

= 60x^2 + 40x - 48xy - 32y

Answer: 60x^2 + 40x - 48xy - 32y

Soory for the wrong answer i re solved it :)

Answer:

a. -15

b.-5

2. 4/-3

Step-by-step explanation:

Answer:

5 cups

Step-by-step explanation:

1 cup/jar x 5 jars is 5 cups

I HOPE IT WILL HELP YOU.

Thank you.

TEDDYLOVER ^ - ^

Answer:

Step-by-step explanation:

54/5=10 4/5

Hello there !

[tex]1) \ \large \boldsymbol {} \displaystyle 2 \frac{33}{40} +4\frac{3}{8} =2+\frac{33}{40}+4+\frac{3}{8}^{/5} =6+\frac{33+15}{40} = \\\\\\ 6\frac{48}{40} =7\frac{8}{40} =\boxed{7\frac{1}{5} } \\\\\\\\ 2) \ 2\frac{3}{8} +1\frac{1}{3} =2+1+\frac{3}{8}^{/3}+\frac{1}{3} ^{/8} =3+\frac{9+8}{24} =\boxed{3\frac{17}{24}} \rm \ cups[/tex]

Answer:

Step-by-step explanation:

Having completed the triangle to the rectangle, you can immediately understand through the Pythagorean theorem that they will be congruent

Then by the Pythagorean theorem:

[tex]\ \sf Points \ F (5 \ ; \ 1)[/tex]

[tex]\sf \displaystyle AB=\sqrt{5^2+1^2} =\sqrt{26 } \ \ ; \ \ FG=\sqrt{5^2+1}=\sqrt{26 } \\\\ BC=\sqrt{2^2+1^2} =\sqrt{5} \ \ ; \ GH=\sqrt{2^2+1^2} =\sqrt{5} \\\\ AC=\sqrt{3^2+2^2} =\sqrt{13} \ \ ; \ \ HF =\sqrt{3^2+2^2} =\sqrt{13}[/tex]

SSS (side-side-side) All three corresponding sides are congruent. =>

ΔABC≅ΔFGH

Answer:

so you have to subtract for minus 53 so 4 - 53 is wait you have to subtract 51 and 3 and 1/2 - 4 so I'mma just get to the answer the answer is b

Answer:

use formula

(x-x^1)=m(y-y^1)

9514 1404 393

Answer:

Step-by-step explanation:

1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...

  y = 1/(4p)x²

where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...

  y = -1/24x²

__

2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...

  y = 1/36x²

Answer:

8

Step-by-step explanation:

you do 32/4 which is 8 so the anwer should be 8

Answer:

1/10

Step-by-step explanation:

The default placeholder value for tenths in math is 0.1, or 1/10. the first digit after the decimal point.