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3 years ago

Algebra I

Mathematics

2 answers:

maw [93]3 years ago

8 0

Answer:

Step-by-step explanation:

Allisa [31]3 years ago

7 0

Answer:

Equation to find the area A of one rectangular mat.(x is the area in equation).

4x + 0.5x = 81 => the area 18 is ft^2.

The length of mat is 6, width is 3:

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What is the volume of the box below ?5cm,8cm,10cm

Alecsey [184]

Answer: Hi!

To find the volume of a box (or cube), you multiply length times width times height.

In this case, you have all of the measurements, so all we have to do is multiply them together!

5cm * 8cm * 10cm = 400

So, the volume of this box is 400cm^3!

Hope this helps!

5 0

3 years ago

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

sung buys a 12-month membership to a gym there is no sign up fee and sung makes equal payments each month after three months he

Nataly [62]

The solution is

a) The amount Sung pays per month is $ 65

b) The total amount for the 12-month memberships is $ 780

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of the 12-month membership fee be represented as A

Now , the value of A is

The amount balance after 3 months = $ 585

The amount balance after 5 months = $ 455

So ,

The difference between the months = 5 months - 3 months

The difference between the months = 2 months

The difference between the amounts = $ 585 - $ 455

The difference between the amounts = $ 130

So , for the period of 2 months , the amount = $ 130

The amount for 1 month of the membership = $ 130 / 2

The amount for 1 month of the membership = $ 65

Now , the equation will be

Total amount of the 12-month membership fee A = 12 x amount for 1 month of the membership

Substituting the values in the equation , we get

Total amount of the 12-month membership fee A = 12 x $ 65

Total amount of the 12-month membership fee A = $ 780

Therefore , the value of A is $ 780

Hence ,

The total membership amount is $ 780 and amount per month is $ 65

To learn more about equations click :

brainly.com/question/19297665

#SPJ1

3 0

1 year ago

Terri is reading a book that is 108 pages long. The book contains a 12-page introduction and 6 chapters. Each chapter has the sa

andrew-mc [135]

Answer:

Step-by-step explanation:

subtract then divide

3 0

3 years ago

Read 2 more answers

Write these values in order, starting with the smallest. 0.5 5% 5

NARA [144]

5%, 0.5, 5 from smallest to largest.

8 0

3 years ago

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