All categories

3 years ago

-3z-1=1-7z simplify

Mathematics

2 answers:

jonny [76]3 years ago

8 0

Answer:

z= 1/2

Step-by-step explanation:

add 3z to 7z to get z by itself

-1=1-4z

subtract one from both sides

-2=-4z

divide

z=1/2

LUCKY_DIMON [66]3 years ago

5 0

Answer:

z = 1/2

Step-by-step explanation:

Step 1: Write equation

-3z - 1 = 1 - 7z

Step 2: Solve for x

Add 7z to both sides: 4z - 1 = 1
Add 1 to both sides: 4z = 2
Divide both sides 4: z = 1/2

Step 3: Check

Plug in z to verify it's a solution.

-3(1/2) - 1 = 1 - 7(1/2)

-3/2 - 1 = 1 - 7/2

-5/2 = -5/2

You might be interested in

After calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum

Svetlanka [38]

Answer: 40000

Step-by-step explanation:

The formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$ , where p is the prior estimate of the population proportion.

Here we can see that the sample size is inversely proportion withe square of margin of error.

i.e. $n\ \alpha\ \dfrac{1}{E^2}$

By the equation inverse variation, we have

$n_1E_1^2=n_2E_2^2$

Given : $E_1=0.05$ $n_1=1000$

$E_2=0.025$

Then, we have

$(1000)(0.05)^2=n_2(0.025)^2\\\\\Rightarrow\ 2.5=0.000625n_2\\\\\Rightarrow\ n_2=\dfrac{2.5}{0.000625}=4000$

Hence, the sample size will now have to be 4000.

6 0

3 years ago

2. Find the perimeter of a rectangle of Length 13m with an area of 65m

I am Lyosha [343]

Answer:

Perimeter = 36m

Step-by-step explanation:

Area = l x w

65m = 13m x w

5m = w

Perimeter = 2(l + w)

Perimeter = 2(13m + 5m)

Perimeter = 36m

3 0

3 years ago

Read 2 more answers

Give the slope of y- 4 = 5(x - 2) and a point on the line.

ValentinkaMS [17]

Answer:

<h2>B. The slope is 5 and (2, 4) is on the line.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

We have the equation:

$y-4=5(x-2)$

Therefore

m = 5

(x₁, y₁) = (2, 4)

5 0

4 years ago

You wish to accumulate $14,580 in 6 years. Payments are made at the end of every six-month period into an account earning 7.2% c

BlackZzzverrR [31]

Equation required for this question:

an • 1.072^n = 14,580

Where a = payment every half year and n = number of half years

There are 12 half years in 6 years.

Therefore n = 12, substitute this.

12a • 1.072^12 = 14,580

12a = 14,580 / 1.072^12

12a = 6,330~

a = 527.5 ~

7 0

4 years ago

A sports team donates 252 tickets to a sporting event, with tickets to be shared equally among 9 classrooms. How many tickets do

Tcecarenko [31]

Answer:

28 tickets

Step-by-step explanation:

252/9=28

8 0

3 years ago

-3z-1=1-7z simplify​

-3z-1=1-7z simplify