Find the sum of 10 and -10.

Tickets for an American Baseball League game for 3 adults and 3 children cost less than $75, while tickets for 2 adults and 4 ch

nikitadnepr [17]

<h3>No, the cost of 1 adult ticket cannot be $ 20 and the cost of 1 children ticket is not $ 8.</h3>

Step-by-step explanation:

Let us assume the cots of ticket for 1 adult = $ x

Let us assume the cots of ticket for 1 children = $ y

So, the cost of ticket for 3 adults = 3 x ( Cost of 1 adult ticket) = 3 x

The cost of ticket for 3 children = 3 x ( Cost of 1 children ticket) = 3 y

Also, given the combined cost of 3 adult and children ticket is less than $75.

⇒ 3 x + 3 y < 75 ... (1)

Similarly, the cost of ticket for 2 adults = 2 x

The cost of ticket for 4 children = 4 y

⇒ 2 x + 4 y < 62 ... (2)

Now, solving for the values of x and y, we get:

3 x + 3 y < 75 or, x + y < 25 ⇒ x = 25 - y ( substitute in 2)

2 x + 4 y < 62 or, x + 2 y < 31

⇒ 25 - y + 2 y < 31

or, y + 25 < 31

or, y < 6

⇒ x = 25 - 6 = 19

or, x < 19

So, the cost of 1 adult ticket is x and is less than $19.

The cost of 1 child ticket is y and is less than $6.

Hence, by above statement, NO the cost of 1 adult ticket can not be $ 20 and the cost of 1 children ticket is not $ 8.

4 0

3 years ago

What is x/9 = 9/27 help plz

Irina18 [472]

<h3>QUESTION: </h3>

what is x/9 = 9/27 help plz

<h3>ANSWER AND SOLUTION: </h3>

SOLVING FOR X

Reduce first the fraction with 9

$\large \sf = \dfrac{x}{9} = \dfrac{ \cancel9}{ \cancel{27}}$

 $\large \sf = \dfrac{x}{9} = \dfrac{1}{3}$ 

Now simplify using cross-multiply

 $\large \sf = \dfrac{3x}{9} = 1$ 

 $\large \sf = 3x = 1 \times 9$ 

 $\large \sf = 3x = 9$ 

Lastly divide both sides

 $\large \sf = 3x \div 3 = 9 \div 3$ 

 $\large \sf = x = 9 \div 3$ 

 $\large \sf = x = 3$ 

<h3>FINAL ANSWER:</h3>

$\huge \orange{ \underline{ \boxed{ \sf{x = 3}}}}$

HOPE THIS HELP YOU! HAVE A NICE DAY!

~kimtaetae92~

7 0

3 years ago

If someone tells you your body temperature is 98.6°, what scale is being used? How do you know?

Alla [95]

Answer:

Fahrenheit

Step-by-step explanation:

When I am getting my temperature checked, it is usually checked in Fahrenheit, and my temperature is around 98.6 degrees.

6 0

3 years ago

Write a rule for each pattern. Then use your rule to find the next two terms in the pattern. The numbers are: 1, 3, 6, 10, 15, 2

Leya [2.2K]

Triangular Number Sequence

This is the Triangular Number Sequence:

1, 3, 6, 10, 15, 21, 28, 36, 45, ...

This sequence comes from a pattern of dots that form a triangle:

By adding another row of dots and counting all the dots we can
find the next number of the sequence.

A Rule

We can make a "Rule" so we can calculate any triangular number.

First, rearrange the dots (and give each pattern a number n), like this:

Then double the number of dots, and form them into a rectangle:

The rectangles are n high and n+1 wideand xn is how many dots in the triangle (the value of the Triangular Number n)

And we get (remembering we doubled the dots):

2xn = n(n+1)xn = n(n+1)/2

Rule: xn = n(n+1)/2

Example: the 5th Triangular Number is

x5 = 5(5+1)/2 = 15

Example: the 60th is

x60 = 60(60+1)/2 = 1830

Wasn't it much easier to use the formula than to add up all those dots?

5 0

3 years ago

Read 2 more answers

Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his hou

creativ13 [48]

Answer: [0, 396]

Step-by-step explanation:

The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.

0 to 44 written in interval notation is [0,44].

The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.

A(t) = 9t

A = 9(44)

A = 396

With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.

0 to 396 written in interval notation is [0, 396].

4 0

3 years ago