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Kryger [21]
3 years ago
8

Venetta and Bill each made a chain of paper clips and measured their lengths Venetta's paper clip chain was 3 feet 5 inches long

. Bill's chain was 39 inches long. Who had the long clip chain?
Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

Vennetta

Step-by-step explanation:

Length of Venetta's paper clip chain = 3 feets 5 inches

Length of Bill's paper clip chain = 39 inches

Converting both Venetta's paper clip chain length to inches only :

1 foot = 12 inches

3 feets = (12 * 3) = 36 inches

Hence,

Length of Venetta's paper clip chain in inches :

(36 + 5) inches = 41 inches

41 inches > 39 inches .

Hence, Venetta has the long clip chain.

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Solve this system by elimination <br> 10x+6y=14<br> -x-6y=-23
ludmilkaskok [199]

Answer:

(-1, 4)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

10x + 6y = 14

-x - 6y = -23

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Add 2 equations together:                    9x = -9
  2. Divide 9 on both sides:                          x = -1

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    -x - 6y = -23
  2. Substitute in <em>x</em>:                                     -(-1) - 6y = -23
  3. Multiply:                                                1 - 6y = -23
  4. Subtract 1 on both sides:                     -6y = -24
  5. Divide -6 on both sides:                      y = 4
8 0
2 years ago
Simplify: 5x+9y-7x+2-5y-7x+2-3x<br><br> please help
juin [17]
So you add all the like terms.......i.e numbers with same variable
so,
5x+9y-7x+2-5y-7x+2-3x
=(5-7-7-3)x+(9-5)y+2+2
=-12x+4y+4
6 0
3 years ago
Read 2 more answers
Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born
NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

p = \frac{31}{365} = 0.0849

Group of 20 friends:

This means that n = 20

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

3 0
3 years ago
An augmented matrix for a system of linear equations in x, y, and z is given. Find the solution of the system.
Angelina_Jolie [31]

Answer:

  (x, y, z) = (-4, 2, 1)

Step-by-step explanation:

See the attachment for the output of a calculator that produces the reduced row-echelon form of the matrix.

The [x, y, z] result vector is the column on the right.

  (x, y, z) = (-4, 2, 1)

_____

Numerous web sites are available for computing the row-reduced form of the matrix, or for solving the system of equations. Your graphing calculator will do it as well.

8 0
3 years ago
Round each factor to the nearest ten to estimate the product of 34 . 39
aev [14]

Answer:

Round 34 down to 30 then round 39 up to 40

Step-by-step explanation:

34 ⟶ 30 34 is rounded down to 30

39 ⟶ 40 39 rounded up to 40

34 ⟶ 30

39 ⟶ 40

34 is rounded down to 30

39 rounded up to 40

Calculate mentally 34 × 39 =  1326

The estimated product is 1326.

3 0
2 years ago
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