Select the equation that most accurately depicts the word problem. Mary Lou has 2 more nickels than pennies, and she has 30 coins all together. Use x for the number of pennies. 2(x + 2) = 30 x + (x + 2) = 30 2x + 30 = 5 x + 2 = 30

Answers

Answer 1
Answer:

Answer:

Option 2 is correct.i.e., Equation that most accurately depicts the word problem is x + ( x + 2 ) = 30

Step-by-step explanation:

let x be no of pennies and y be no of nickles.

Mary Lou has total 30 coins all together means,

x + y = 30

⇒ y = 30 - x ....................(1)

Mary Lou has 2 more nickles than pennies means,

y = x + 2

30 - x = x + 2    (from eqn (1))

30 = x + x + 2

x + ( x + 2 ) = 30

Therefore, Option 2 is correct.i.e., Equation that most accurately depicts the word problem is x + ( x + 2 ) = 30

Answer 2
Answer: x + (x+2) = 30

14 pennies and 16 nickels

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Which of the following represents "Twice the abscissa increased by three times the ordinate is ten"?a.3x + 2y = 10
b.2y + 3x = 10
c.2x + 3y = 10

Answers

Twice the abscissa increased by three times the ordinate is 10.
x - the abscissa;
y - the ordinate.
Answers A and B represents: "Three times the abscissa increased by twice the ordinate is 10." Therefore A are B are wrong.
Answer:
C ) 2 x + 3 y = 10

Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?

Answers

Answer:

D

Step-by-step explanation:

choice A is not guaranteed since the values varied from 0 to 7.

choice B seems alright, but doesn't include about or anything about the long run.

choice C is incorrect because 50% are less than 3.12 and 50% are greater than 3.12.

choice D seems pretty good, since it says average, long run, approach, etc.

choice E is incorrect because it says "will be". It is not definite.

Final answer:

The mean of 3.12 represents the average number of days per week that members are expected to visit the fitness center.

Explanation:

The mean of the random variable X, which represents the number of days per week that members visit a fitness center, is 3.12. This means that on average, members go to the fitness center about 3.12 days each week when considering all the members surveyed. It's an overall trend that indicates the central tendency or the 'typical' value that we would expect in this data set. It is calculated by multiplying each number of visit days by its relative frequency and adding all these products together, then dividing by the total number of members.

If you subtract 12 from my number and multiply the difference by −3​, the result is −60​.

Answers

Answer:

Step-by-step explanation:

-60 + 12 = -48

-48 divided by -3 is 16

the answer is 16

A culture started with 2000 bacteria. After 2 hours it few to 2200 bacteria. Predict how many bacteria will be present after 19 hours.

Answers

Answer:

3900 bacteria will be present

Step-by-step explanation:

A culture started with 2000 bacteria and after 2 hours it grew to 2200 bacteria, determining the rate, we can assume that for every hour, 100 bacteria adds onto the culture. Therefore:

If 19 hours have passed, multiply 100 by 19 to insinuate the every hour per 100 bacteria.  

19 * 100

1900

Now you can add this to the original starting bacteria:

2000 + 1900

3900 bacteria

What is the simplified form of each expression? (– h 4)5

Answers

2 way
if they are coefieicnts
(-h times 4) times 5=-4h times 5=-20h


if they are exponnets
(-h^4)^5
remember
(mn)^k=(m^k)(n^k)
and
(x^m)^n=x^(mn)

(-h^4)^5=
((-1)^5)((h^4)^5)=
(-1)(h^(4*5))
(-1)(h^20)=
-h^20

Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob's checking account?V

Answers

Answer:

$702.53

Step-by-step explanation:

Start with Jose's initial balance.

178.74

He wrote checks, so we have to subtract the total amount the checks were worth. Let's first add the three amounts.

36.52+18.92+25.93

Solve.

81.37

Subtract the total amount of the checks from Jose's initial balance.

178.74-81.37

Solve.

97.37

The amount above is now what is in Jose's checking account.

But, he also deposited money, meaning he put money in his checking account. Now, let's add the three amounts he deposited.

300.00+100.00+205.16

Solve.

605.16

The amount above is what Jose adds to his checking out.

Add the total value of the deposited money and his new balance.

605.16+97.37

Solve.

605.16+97.37=702.53