All categories

3 years ago

-6z = 72 What is the solution

Mathematics

1 answer:

exis [7]3 years ago

6 0

-6z = 72

Divide both sides by -6

-6z = 72
/-6 /-6

z = -12

You might be interested in

Solving a percent mixture problem using a linear equationSamantha vEspelTwo factory plants are making TV panels. Yesterday, Plan

Alborosie

ANSWER

Number of panels produced by plant B: 20000

EXPLANATION

First we have to name the variables. We're looking for the number of panels produced by plant B and also we don't know the number of panels produced by plant A.

Let x be the number of panels produced by plant A and y the number of panels produced by plant B.

We know that plant A produced 7000 fewer panels than plant B. This as an equation is:

$x=y-7000$

To solve this we need to find another equation, because we have two variables.

The other equation is the one with the defective panels. The total number of defective panels produced by both plants is 860, and we know that represents the 2% of produced panels from plant A and 3% of produced panels from plant B. To find the number that represents that percentage we divide the percentage by 100 and multiply by the total amount. For the 2% of plant A this is:

$\frac{2}{100}\cdot x=0.02x$

And the 3% of plant B is:

$\frac{3}{100}\cdot y=0.03y$

So the second equation is:

$0.02x+0.03y=860$

Since we only want to find y, which is the number of panels produced by plant B, we can use the substitution method. Substitute the first equation into the second - in other words, replace x in the second equation by y - 7000:

$0.02(y-7000)+0.03y=860$

To solve for y, first apply the distributive property of multiplication:

$\begin{gathered} 0.02y-0.02\cdot7000+0.03y=860 \\ 0.02y-140+0.03y=860 \end{gathered}$

Add like terms:

$\begin{gathered} (0.02y+0.03y)-140=860 \\ 0.05y-140=860 \end{gathered}$

Add 140 on both sides of the equation:

$\begin{gathered} 0.05y-140+140=860+140 \\ 0.05y=1000 \end{gathered}$

And divide both sides by 0.05:

$\begin{gathered} \frac{0.05y}{0.05}=\frac{1000}{0.05} \\ y=20000 \end{gathered}$

This result means that <em>plant B produced 20000 TV panels in total.</em>

7 0

1 year ago

Brainliest 5 stars Thanks!<br> Use the Remainder Theorem.

GalinKa [24]

Answer:

If f(1)=0 then 1 is a root and (x-1) is a factor of f(x). divide f(x) by (x-1). you now have a quadratic. Find its roots by methods you know.

actually this factors by grouping:

f(x)=x³+3x²-x-3

= x²(x+3)-1(x+3)

=(x+3)(x²-1)

=(x+3)(x-1)(x+1) // difference of squares

By zero product property roots are

-3, -1, 1

5 0

3 years ago

Factor 6a2 - 26a + 28.

aalyn [17]

The answer of the question is B

8 0

3 years ago

Write the next steps

Ainat [17]

Answer:

Two steps:

a) 12345×8+5=98765

b)123456×8+6=987654

8 0

3 years ago

Helppppppppppppp!!!!!

sergij07 [2.7K]

The first value is -9, so f(1)=-9. Next, to find the common difference, we subtract the second number from the first number, getting -2-(-9)=7. Therefore, the common difference is 7

5 0

3 years ago

Read 2 more answers