how to solve -6x+5y=16 and x=5-3y using subsituation

Answer:

-10

Step-by-step explanation:

Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step

6 - 16 = -10

Answer:

-3 - 5= -8

-2 x -8= 16 (2 negatives make a positive when multiplied)

6-16= -10

Answer:

250x+1000

Step-by-step explanation:

The linear equation that represents the total amount paid is 1000 + 250x.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given,

Amount of down payment = $1000

Per month payment = $250

For x number of months = $250x

Total paid = 1000 + 250x

Hence "The linear equation that represents the total amount paid is 1000 + 250x".

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Answer:

A

Step-by-step explanation:

Draw an angle of 15° like this (∠) on a piece of paper, label this angle J, extend the base of the triangle and label the hypotenous 11cm (JK). Do you get the solution now? If no, here is an explanation.

This problem can be explained with sin law,

[Assume KL = 4cm]

(sin15)/4 = (sinL)/11

L = 45.4° or 135° (3 sig. fig.)

Since we got 2 possible case for the angle L, there are two possible set of triangles. Hope this will help you understand more about the problem, comment below if you still have any questions.

The equation that represents the given situation is 12 + 6x = 30.

The number of additional hours is 3.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

A trampoline park costs $12 for the first hour and $6 for each additional hour.

Amount paid at the park = $30

Now,

12 + 6x = 30

x is the number of hours.

Solve for x.

12 + 6x = 30

6x = 30 - 12

6x = 18

x = 3

Thus,

The equation is 12 + 6x = 30.

The number of hours is 3.

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Answer:

8.7

Step-by-step explanation:

Answer:

y = 2x + 1

Step-by-step explanation:

Hope this helps!

Answer:6+14+2=20+2=22

Step-by-step explanation:6+2+14=22

In commutative property, the order of the addends is changed and the answer is simplified.

Answer:

26

Step-by-step explanation:

just use a calculator or search it up

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

Answer:

1/3

Step-by-step explanation:

3a = 1

/3    /3

a = 1/3

Answer:a

a= one third or 1/3

3 times 1/3 = 1

Step-by-step explanation:

Answer:

$15,937.50

Step-by-step explanation:

15000 × 1.0625 = 15937.5

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

[tex]\sqrt{89}[/tex]

Hope This Helps You!

Good Luck Studying ^-^

Answer:

43

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length of a pair of skis = 6 feet 11 inches

Maximum length of a the skis that can be fitted in a wardrobe is along the diagonal of the wardrobe.

From the picture attached,

BC² = 3² + 2² [By Pythagoras theorem]

BC = √(13)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

AB² = 6² + (√13)²

       = 36 + 13

AB = √49

Ab = 7 feet

Since, "diagonal length of the wardrobe is more than the length of skis,

skis can be fitted"

Answer:

30

Step-by-step explanation:

6x5=30 Just took the test and got 100%

Answer:

x = 62.9° (3 sig. fig.)

Step-by-step explanation:

Simply by using the cos law,

cosx = (1.3² + 2.1² - 1.9²)/2(1.3)(2.1)

x = 62.9° (3 sig. fig.)

Answer:

ye

Step-by-step explanation:

Answer:

x=1/3

Step-by-step explanation:

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

Answer:

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(-2, 8)   ⇒   x₁ = -2,  y₁ = 8

(-22, 8)   ⇒     x₂ = -22,  y₂ = 8

So, the slope:

                     [tex]m=\dfrac{8-8}{-22-(-2)}=\dfrac{0}{-20}=0[/tex]

Answer:

You didn't say what the question was

Answer: 3

Step-by-step explanation:

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

1   2  3  4 5 6 7 8 9 10 11 12 13

The distance is 12

Edit: I did it wrong, sorry

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hope it helps

Answer:

The distance between the two points is 13 units

Step-by-step explanation:

on a graph, to find the distance you can either count each square/unit or you could add the points together not counting if they're negative or not

basically just add them in absolute value |-5| + 8= 13

hope this helps <3

Answer:

volume = 160 cm³

Step-by-step explanation:

volume = 4 x 4 x 10 = 160 cm³

Answer:

40.00-30.98=x

Answer:

x=7/4

Step-by-step explanation:

cross multiply and divide both sides

Answer:

Since total sum of interior angles of a triangle is 180 Do the calculation you will get it