The ticket price for the ice hockey match was £14.50. The price has increased by 7%. How much is a ticket after the increase?

Answers

Answer 1

Answer: 7%= $\frac {7}{100}$ = 0.07
14.5 × 0.07 = 1.015
Add this number to the original:
14.5+1.015 = £15.515

There is another way, whenever they give us an increased Percentage, they provide us with a hint!
we add that increased percent to 100
100+7=107%
107%= $(107)/(100)$ = 1.07
14.5×1.07= £15.515, it can also be rounded to 15.52
£15.515≈£15.52

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Sarah and her three friends are decorating picture frames with ribbon. They have 3 rolls of ribbon to share evenly. How does this situation represent division?

Answers

Let's see here. Sarah is one person. Her three friends are three more. That means 4 people are decorating picture frames. However, we only have 3 rolls of ribbon! We can give an entire roll to each person, but one person would have no roll to decorate with! What do we do? We have to divide this. By definition, divide means to separate something(in this case, ribbon rolls) into (equal) parts. So, we must divide them so everyone gets an EQUAL ribbon roll length.

Evaluate 33 + 8 ÷ 4.

Answers

Is the same as 33 + (8/4) because of BEDMAS, so 33 + 2 = 35

hello

33 + (8/4) = 35
because of
so 33 + 2 = 35

I hope I helped you

The polynomial x3 + 8 is equal to

Answers

Answer:

$x^(3) +2^(3)=(x+2)(x^(2) -2x+2^(2) )$

Step-by-step explanation:

The general expansion of a polynomial of type $a^(3) +b^(3)$ is given as follows:

$a^(3) +b^(3) =(a+b)(a^(2) -ab+b^(2) )$

Given polynomial is $x^(3) +8$

This can be written as $x^(3) +2^(3)$ , which is of the form $a^(3) +b^(3)$ .

So we can use the general form to expand this polynomial where;

a→x

b→2

$x^(3) +2^(3)=(x+2)(x^(2) -x*2+2^(2) )$

$x^(3) +2^(3)=(x+2)(x^(2) -2x+2^(2) )$

The polynomial x3+8 is equal to (x+2)(x2-2x+4)

Hope this helps:)

Solve the system of linear equations below.

2x + 3y = 2
x + 6y = 4

Answers

Step 1: Distribute
$2(2x+3y=2)$
$x+6y=4$

Step 2: Rewrite
$4x+6y=4$
$x+6y=4$

Step 3: Solve
$5x/5=0/5$
$x=0$

Step 4: Replace back into original first equation
$0+6y=4$
or $6y=4$

Step 5: Solve
$6y/6=4/6$
$y= (2)/(3)$

Your answer is $(0, (2)/(3))$