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3 years ago

Solve the equation. 2 ( 4z - 1) = 3(z+2) Z=

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Answer:

$z = \frac{8}{5}$

Step-by-step explanation:

Calculate for the value of $z$ :

$2(4z - 1) = 3(z + 2)$

-Use <u>Distributive Property</u> on both left and right:

$2(4z - 1) = 3(z + 2)$

$8z - 2 = 3z + 6$

-Take $3z$ and subtract $8z$ :

$8z - 3z - 2 = 3z - 3z + 6$

$5z - 2 = 6$

-Add $2$ to both sides:

$5z - 2 + 2 = 6 + 2$

$5z = 8$

-Take $5z$ and divide on both sides:

$\frac{5z}{5} = \frac{8}{5}$

$z = \frac{8}{5}$

Therefore, the value of $z$ is $\frac{8}{5}$ .

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Solve and factorise x^2-8x+16=0

goblinko [34]

Answer:

x=4x therefore the answer is 4x

Step-by-step explanation:

x^2-8x+16=0

7 0

2 years ago

For a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. How much did the family spend on

xxTIMURxx [149]

Answer:

1) The amount the family spent on pizza is $300

2) The amount the family spent on soda is $43.2

3) The amount the family spent in all is $343.2

Step-by-step explanation:

The number of pizzas bought by the family = 24

The price of each pizza = $12.50

The number of bottles of soda the family bought = 36

The price of each bottles of soda = $1.20

1) The amount the family spent on pizza = 24 × $12.50 = $300

2) The amount the family spent on soda = 36 × $1.20 = $43.2

3) The amount the family spent in all = The amount the family spent on pizza + The amount the family spent on soda

∴ The amount the family spent on soda = $300 +$43.2 = $343.2.

7 0

2 years ago

I need help on this one asap pliz

Doss [256]

$C(5,4)(.40)^4(1-.40)^1=5(.4)^4(.6)^1=0.0768$

That's 7.68% = 7.7% (rounded)

Note: C(5, 4) is the number of combinations of 5 things taken 4 at a time. You may have seen this written as $_5C_4$

In general, $C(n,r)=\frac{n!}{r!(n-r)!}$

8 0

2 years ago

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?

satela [25.4K]

Step-by-step explanation:

$x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - 5 + - \sqrt{ {5}^{2} - 4(5) } }{2} \\ x = \frac{ - 5 + - \sqrt{25 - 20} }{2} \\ x = \frac{ - 5 + - \sqrt{5} }{2}$

Therefore, the zeroes would be:

$x1 = \frac{ - 5 + \sqrt{5} }{2} \\ x2 = \frac{ - 5 - \sqrt{5} }{2}$

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2 years ago

An observational study is described. Determine the given element. An educational researcher used school records to determine tha

Lelu [443]

Answer:

Step-by-step explanation:

The parameter of interest summarizes the population of interest as a whole. It also gives the value that summarizes the entire population

In this case study the parameter of interest is all children in both two parents and single parent homes living in school districts.

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3 years ago