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2 years ago

1/3z=-5 solve the equation for the value of the variable show all work

Mathematics

2 answers:

Alexxx [7]2 years ago

6 0

Answer:

z = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

1/3z = -5

Step 2: Solve for z

Multiplication Property of Equality [Multiply both sides by 3]: 3 · 1/3z = -5 · 3
Simplify [Multiply]: z = -15

Step 3: Check

Plug in z into the original equation to verify it's a solution.

Substitute in z: 1/3(-15) = -5
Multiply: -5 = -5

Here we see that -5 does indeed equal -5.

∴ z = -15 is the solution to the equation.

navik [9.2K]2 years ago

5 0

Answer:

z=-15

Step-by-step explanation:

Multiply both sides by 3:

z=-15

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3 years ago

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2x+2y= 24 x=3y What is the value of x+y?

natita [175]

Answer:

x = 9

y = 3

Step-by-step explanation:

2x + 2y = 24 is the same as x + y = 12

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3 years ago

Which expression can be used to find m pls help

natali 33 [55]

Answer:

∠ U = 22.62°

Step-by-step explanation:

We can use the trigonometric expression to find ∠U by using the ratio:

sin(θ) = opposite/ hypotenuse

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2 years ago

HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c

Anna71 [15]

Answer:

$n=241$

Step-by-step explanation:

We are given

$5x^2+nx+48$

Let's assume it can be factored as

$5x^2+nx+48=(5x-s)(x-r)$

now, we can multiply right side

and then we can compare it

$5x^2+nx+48=5x^2-5rx-sx+rs$

$5x^2+nx+48=5x^2-(5r+s)x+rs$

now, we can compare coefficients

$rs=48$

$5r+s=-n$

$n=-(5r+s)$

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

$48=-+(1\times 48)$

$48=-+(2\times 24)$

$48=-+(3\times 16)$

$48=-+(4\times 12)$

$48=-+(6\times 8)$

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

and because n is negative of 5r+s

so, we will both n and r as negative

So, we can assume

r=-48 and s=-1

so, we get

$n=-(5\times -48-1)$

$n=241$

7 0

3 years ago