I’m taking a test

Solve the equation 4[c-3]=8<br> what are two ways to solving this equation

Alex17521 [72]

Answer:

Divide both sides by 4 to get c - 3 = 2 ( second to last choice)

Use the distributive property to get 4c - 12 = 8 (last choice)

Step-by-step explanation:

1. Use distributive property

4 times c = 4c

4 times 3 = 12

2. Since we are multiplying by 4, we can divide by 4 on both sides.

4(c - 3) divided by 4 = c - 3

8 divided by 4 = 2

I hope this helped and please mark me as brainliest!

5 0

2 years ago

Chris has a collection of 20 baseball cards and Kyle has collection of 40 baseball cards. Chris is adding 3 baseball cards per m

UkoKoshka [18]

Answer:

11 months

Step-by-step explanation:

The initial number of baseball cards that Chris has is 20.

This is like the first term of a sequence.

If Chris is adding 3 baseball cards per month, then there will be a constant difference of 3.

The number of baseball cards after $n$ months is given by the formula;

$C_n=20+(n-1)3$

$\Rightarrow C_n=20+3n-3$

$\Rightarrow C_n=3n+17$ where $n\ge1$

Similarly, Kyle initially has 40 baseball cards and adds one base ball card per month to his collection;

The number of his baseball cards after $n$ months is given by the formula;

$K_n=40+(n-1)1$

$K_n=40+n-1$

$\Rightarrow K_n=n+39$

To determine the number of months that will pass before Kyle and Chris have the same number of base ball cards, we equate both equations to get;

$\Rightarrow 3n+17=n+39$

We group like terms to get;

$3n-n=39-17$

$\Rightarrow 2n=22$

$\Rightarrow n=11$

Therefore Chris and Kyle will have the same number of baseball cards after 11 months.

3 0

4 years ago

You measure 33 turtles' weights, and find they have a mean weight of 48 ounces. Assume the population standard deviation is 14.1

zepelin [54]

Answer:

Confidence interval = 48±4

Step-by-step explanation:

Given:

Mean X = 48

Standard deviation sd = 14.1

Computation:

Z table value of 90% = 1.645

Total number n = 33

Computation:

Margin of error M.E = Z[sd/√n]

Margin of error M.E = 4 approx.

Confidence interval = 48±4

7 0

3 years ago

The population of wolves in a sanctuary has been growing by about 20 wolves a year. In 2012, there were 415 wolves in the sanctu

Masteriza [31]

Answer:

A: P = 20n +415

B: P = 20t + 375

C: Both equations agree, and in 2018 there will be about 535 wolves

D: The advantage of defining the input variable is that it helps simplify the calculation and makes it more intuitive.

Step-by-step explanation:

P = <u>Number of wolves</u>

n = <u>number of years since 2012</u>

<em>we know </em><em>in 2012</em><em> there were </em><u><em>415 wolves in the sanctuary</em></u><em>, and that the </em><em>sanctuary </em><em>has been </em><em>growing about </em><u><em>20</em></u><u><em> wolves </em></u><u><em>a year.</em></u>

we know this is correct because we are trying to create an equation that represents the number of wolves(p) throughout the years(n), so we are trying to figure out what P equals. We know that the sanctuary grows about <u>20</u> wolves a year, and n is the number of years since 2012. As well as obviously,<u> we add 415 to our equation because there is </u><u>already 415 wolves in the sanctuary.</u>

P = <u>Number of wolves</u>

t = <u>number of years since 2010</u>

x = <u>unknown variable(number of wolves in 2010)</u>

Here we are trying to identify what x is,<u> in 2012 there was 415, each year the number of wolves grew by 20.</u>

P = 40 - 415 = 375

<u>We now know there were 375 wolves in 2010</u>

<h3>Hence our equation is P = 20t + 375</h3>

<h3>C:</h3><h3>First let's plug in our first equation</h3>

P = 20n + 415

(To find n all we do is subtract 2018 and 2012, which equals 6.)

P = 20(6) + 415

(Solve)

P = 120 + 415

<em>Our first equation tells us that in 2018 there will be 535 wolves.</em>

<h3>Plug in our second equation</h3>

P = 20t + 375

(To find t all we do the same thing we did last time except now we subtract 2018 from 2010, which equals 8)

P = 20(8) + 375

P = 160 + 375

<h2>Both our equations agree, and in 2018 there will be 535 wolves.</h2>

The advantage of defining the input variable is that it helps simplify the calculation and makes it more intuitive.

7 0

2 years ago

An expression is shown below. Which expression is equivalent to the expression shown?

olya-2409 [2.1K]

Answer:

where's the options

Step-by-step explanation:

i think you made a mistake

3 0

3 years ago

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