Answer:
The mean amount spent = £14.80
The modal product is hoodies.
Step-by-step explanation:
Here
25 T shirts each costing £10 were purchased
Amount spent on T shirts = 25 × 10 = £250
30 key ring of £5 were purchased
Amount spent on key ring = 30 × 5 = £150
40 Hoodies for £25 each
Amount spent on Hoodies = 40 × 25 =£1000
30 CD's for £15 each
Amount spent on CD's = 30 ×15 = £450
Total amount spent = 250 +150 + 1000 + 450 = £1850
Total items purchased = 25 + 30 + 40 + 30 = 125
Mean amount spent = 
The modal product is Hoodies as the maximum number of hoodies were purchased.
Answer:
<GOJ
Step-by-step explanation:
O is the center of the circle
So central angle is <GOJ
Step-by-step explanation:
(1) Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial) 2x²+6x-20=0
2x²+6x-20
2(x²+3x-10)
the factors are 2 and (x²+3x-10)
(2) Factor the polynomial completely. (4 points: 2 point for each factor)
2(x²+3x-10)
2(x²-2x+5x-10)
2(x(x-2) + 5(x-2)) group like terms
2(x+5)(x-2)
(3) If a product is equal to zero, we know at least one of the factors must be zero. And the constant factor cannot be zero. So set each binomial factor equal to 0 and solve for x, the width of your project. (2 points: 1 point for each factor)
constant = 2 cannot be zero
the other factors are (x+5) and (x-2)
(x+5)=0 => x= -5
or
(x-2)=0 => x=2
(4) What are the dimensions of your project? Remember that the width of your project is represented by x. (2 points: 1 point for each dimension)
thank you so much, sorry if it's a little confusing!!
(it is indeed confusing, because physical dimensions cannot be negative)
The dimensions of the project (assumed a rectangle) are +2 and -5
Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:

The perimeter is 96 feet:

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

We can solve for w by plugging the other two values into the last:

Now we can find the length by plugging w into the first equation:

One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

So we know our answer's correct