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2 years ago

Model each two-step operation by solving. -2x-3=5

Mathematics

2 answers:

Dafna1 [17]2 years ago

8 0

Answer:

x=-4

Step-by-step explanation:

You have to do all this math to isolate the variable, so, first,

You have to use the opposite sign of negative 3, which is positive 3, and add on both sides!

Then, you isolate the variable by dividing -2 on both sides, which is...

-4!

Alexxx [7]2 years ago

3 0

The answer is gonna be -4

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Answer:

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Quick Explanation:

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1 year ago

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2 years ago

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Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

hammer [34]

Answer: option d.

Step-by-step explanation:

If y varies directly as x and z, the form of the equation is:

$y=kxz$

Where k is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for k:

$4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}$

Substitute the value of k into the expression. Then, the equation is:

$y=\frac{2}{3}xz$

To find the value of y when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

$y=k=\frac{2}{3}(7)(4)$

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2 years ago

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Justin buys a shirt that costs 24 dollars and a jacket that costs 54 dollars. If sales tax is 7%, what is the total purchase pri

andreyandreev [35.5K]

Answer:

$83.46

Step-by-step explanation:

24 + 54 =78

78 × 7% = 5.46

78 + 5.46 = $83.46

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2 years ago

The batteries from a certain manufacturer have a mean lifetime of 850 hours, with a standard deviation of 70 hours, assuming tha

matrenka [14]

To answer (a), we will need to find the Z value for 710 hours and 990 hours.

$\begin{gathered} For\text{ 710} \\ Z\text{ = }\frac{x-\mu}{\sigma} \\ \text{ = }\frac{710-850}{70} \\ \text{ = -2} \\ p\text{ =0.0228 } \\ For\text{ 990:} \\ Z\text{ = }\frac{990-850}{70} \\ \text{ =2} \\ p\text{ = 0.9772} \end{gathered}$ $\begin{gathered} To\text{ find P \lparen–2 \le Z \le 2\rparen} \\ =\text{ 0.9772 -0.0228} \\ =\text{ 0.9544} \\ =95.44\% \end{gathered}$

B) 68% of data lies between one standard deviation of the mean.

850 +70 = 920

850 - 70 = 780

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1 year ago