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GarryVolchara [31]
3 years ago
15

What is the value of z in the equation 2(4z – 9 – 11) = 166 – 46?

Mathematics
2 answers:
maks197457 [2]3 years ago
7 0
Our current equation is:
2(4z - 9 - 11) = 166 - 46
First, let's simplify the right side of the equation.
166 - 146 = 120
Now, we have:
2(4z - 9 - 11) = 120

Since we have 2(4z - 9 -11), this side of the equation is looking for the "Distributive Property."
The Distributive Property allows any variable/number outside of a parenthesis to multiply by all inside numbers/variables.

For example:
3(1 + 2)
3(1) + 3(2)
3 + 6
9.


Now that we've explained what we're dealing with, let's distribute!

2(4z - 9 - 11)
2(4z) + 2(-9) + 2(-11)
Remember when you multiply a positive number by a negative, it becomes a negative product.
8z -18 -22 = 120
Combine like-terms.
-18 -22 = -40 (When subtracting a positive from a negative, you're essentially just adding two positive numbers with negative signs as the sum.)
We now have:
8z -40 = 20
Add 40 to both sides.
8z = 60
Divide both sides by 8 to solve for z.
8z / 8 = z
160 / 8 = 20

z = 20

I hope this helps!
Roman55 [17]3 years ago
6 0
2(4z-9-11)=166-46
8z-18-22=120
8z-40=120
Add 40 from both side
8z-40+40=120+40
8z=160
Divided 8 from both side
8z/8=160/8
z=20. Hope it help!
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hjlf

Answer:

a) s= 9.74

D. 9.74

b) Median= 74

B. 74

Step-by-step explanation:

Part a

We have the following dataset given:

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We can begin calculating the sample mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = 75.04

Now we can calculate the sample deviation with the following formula:

s =\sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}

And after replace we got:

s= 9.74

Part b

For this case we need to sort the value on increasing way:

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And the median would be the value in the position 13 and we got:

Median= 74

6 0
3 years ago
What is the value of the expression given below? (8-3i)-(8-3i)(8+8i)
enyata [817]

Answer:

-76-43i

Step-by-step explanation:

First expand the multiplied terms

8-3i-(64+64i-24i+24)

8-3i-(64+40i+24)

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6 0
3 years ago
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Carl's cable company charges $55 for monthly service plus $4 for each pay-per-view movie. Teleview cable company charges $110 pe
shusha [124]
Let us assume the number of movies for ehich the cost of both companies becomes the same = x
Then
55 + 4x = 110
4x = 110 - 55
4x = 55
x = 55/4
   = 13.75
So
The number <span>number of movies for which the cost of Carl's cable company is less than the cost of Teleview = 13.

I hope the procedure is clear enough for you to understand and this is the answer that you were actually looking for.</span>
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4 years ago
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Tanzania [10]

Answer:

Sonya pays a flat fee of $30 for her phone bill and pays $2 per gigabyte she uses per month. Put Sonya's bill as an equation with <em>d</em> being how many gigabytes she uses per month.

Step-by-step explanation:

We get the flat fee of $30 from "30 + 2d" and the $2 per gigabyte from "30 + 2d" and since we want to find out Sonya's total bill, that's where the + in "30 + 2d" comes from. We want the variable to be <em>d</em> therefore <em>d</em> is how many gigabytes she uses per month.

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3 years ago
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Fiesta28 [93]

Answer:

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Step-by-step explanation:

multiples are the list of number that can be multiplied by a certain number.

list the multiples

make a chart

1 × 7 = 7 (odd)

2 × 7 = 14 (even)

the first even multiple is 14 (2×7)

6 0
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