HELLPPP ME PLEASEE!!!!!! PLEASE AND THANK YOU!!!

Mathematics

2 answers:

elena-s [515]3 years ago

8 0

Answer:

15 children and 5 adults

Step-by-step explanation:

Lets call the adults 'a' and the children 'c'.

We know that 20 tickets by a family was purchased so a + c = 20.

We also know that the total cost of the tickets was $100 and one adult ticket cost $8 and one child cost $4 so 8a + 4c = 100

Now we have simultaneous equations,

α) a + c = 20

β) 8a + 4c = 100

→ Multiply α) by 8 to make the same 'a' coefficient

α) 8a + 8c = 160

β) 8a + 4c = 100

→ Minus the α) from β)

4c = 60

→ Divide both sides by 4 to work out how many child tickets were bought

c = 15

→ Substitute the value of c = 15 back into the equation of a + c = 20

a + 15 = 20

→ Minus 15 from both sides to work out how many adult tickets were bought

a = 5

balandron [24]3 years ago

4 0

So there are 20 people in the family.
The total cost of the tickets were $100. Tickets for adults cost $8 and children cost $4.
To find the answer for the number of adults you need to divide the $100 by $8 and do the same for children but divide the $100 by $4.
So 5 of the family members were adults and 15 were children.
5 adults = $40
15 children = $ 60

You might be interested in

Find the 110 term of the sequence -7, 3, 13, 23, ...

Evgesh-ka [11]

First, find the nth term
To do this, find the term to term difference...
A
-7 and 3 = 10
3 and 13 = 10
13 and 23 = 10

As the difference is 10, we now write out the 10 times table

10, 20, 30, 40

The next step is to work out how to get from the sequence to the 10x table
B
-7 - 10 = -17
3 - 20 = -17
13 - 30 = -17
23 - 40 = -17

Now use the answer from each section in the general formula
x = An + B
This could also be written as ?n + ?
Using our numbers, this becomes 10n - 17

Now use the formula to work out the 110th term
(10 x 110) - 17
1100 - 17 = 1083

7 0

3 years ago

4. find the real number roots. sqrt-0.25

e-lub [12.9K]

Given is square root of a negative real number, i.e. $\sqrt{-0.25}$

When we find square root of positive real numbers, we get Real answers.

But when we find square root of negative real numbers, we get Imaginary answers. To solve them, we can split the given negative number into product of -1 and the number itself but with positive sign. e.g. -4 = -1 x 4.

For square root of -1, we use english letter 'i' called Imaginary unit i.e. $\sqrt{-1} = i$