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katovenus [111]
3 years ago
11

Solve equation

3} = 3" alt="\frac{k-4}{3} = 3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
3241004551 [841]3 years ago
6 0

k-4/3= 3

Mutiply both sides by 3 .

(3)(k-4/3)= (3)(3)

Cross out 3 and 3 , divide by 3 and then becomes k-4= 9

Move -4 to the other side

Sign changes from -4 to +4

k-4+4= 9+4

k= 13

Answer: k= 13

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A cereal brand is on sale $2 for 32 oz. If Sally spent $8 on the cereal, how many ounces did she purchase?
Lelechka [254]

Answer:

it would be 128 because 8 divded 2 is 4. 4 is the number of cereal boxes now multiply 4 x32 which would be 128

3 0
3 years ago
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Describe a real-world situation that the graph could represent. Then describe the possible values for each variable
Alex777 [14]

Answer:

Speed=distance/time i.e. relation between speed-distance-time is one such situation that can be modeled using graph

Step-by-step explanation:

There are many real world examples that can be modeled using graph. Graphs are represented on co-ordinate planes, so any real world example that can be represented by use of linear equation can be represented onto a graph.

One such example, is speed-distance-time relation. Uniform speed can be represented on a graph as shown in figure.

So, the equation for speed is represented by equation as follows:

Speed=distance/time

So, if we take distance on y axis and time on x axis with points as (distance,time)

(0,0) ==> v=0/0=0

(1,2) ==> v=1/2=0.5

(2,2) ==> v=2/2=1

the following points 0,0.5,1 will be plotted on graph. Similarly, more values can be plotted by assuming values for distance and time.

8 0
3 years ago
NEED HELP FAST PLEASE
natita [175]
Hey!


To solve this equation, we'd first have to apply the distributing rule to this equation.

<em>Original Equation :</em>
( 3a - 2 )^{2}

<em>New Equation {Changed by Applying the Distribution Rule} :</em>
( 3a )^{2} - 2 · 3a · 2 + 2 ^{2}

And now we simplify.

<em>Old Equation :</em>
( 3a ) ^{2}  -2 · 3a · 2 + 2 ^{2}

<em>New Equation {Old Equation Simplified} :</em>
9a ^{2} - 12a + 4

<em>So, the equation (3a - 2) ^{2} simplified is</em>  9a ^{2} - 12a + 4.

Hope this helps!


- Lindsey Frazier ♥
5 0
3 years ago
To buy a car, you borrow $25,000 with a term of three years at an APR of 6.5%. What is your monthly
Finger [1]

Answer:

  $766.23

Step-by-step explanation:

The amortization formula is appropriate for this. (Better, use a financial calculator or spreadsheet.)

  A = P(r/12)/(1 -(1 +r/12)^-(12t))

where P is the amount borrowed (25,000), r is the annual rate (0.065), and t is the number of years (3).

Putting the given numbers into the formula, we have ...

  A = $25,000(0.065/12)/(1 -(1 +0.065/12)^(-36))

  A = $25,000(.00541667)/(1 -1.00541667^-36)

  A = $25,000(0.00541667)/(0.1767322)

  A = $766.23

The monthly payment is $766.23.

_____

<em>Comment on tools</em>

A graphing or scientific calculator is useful for these. Something like a TI-84, or any of the equivalents, will have financial calculations like this built in. There are also numerous apps available for phone or tablet that will do financial calculations.

4 0
3 years ago
If one three-digit number ( 0 cannot be a left digit) is chosen at random from all those that can be made from the following set
Oksana_A [137]

The probability of choosing a number that is not a multiple of 2 is P = 0.44

<h3 /><h3>How to find the probability?</h3>

We need to count the number of options for each digit.

  • For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
  • For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
  • For the third digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}.

The total number of combinations is the product between the numbers of options:

C = 8*9*9 = 648

If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:

  • For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
  • For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
  • For the third digit, we have 4 options {1, 3,  5, 7}.

C = 8*9*4 = 288

Then the probability of selecting a 3 digit number that is not a multiple of 2 is:

P = 288/648 = 0.44

If you want to learn more about probability, you can read:

brainly.com/question/251701

8 0
2 years ago
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