Answer:
= 
(3n + 7)
Step-by-step explanation:
We require to find the first term a₁ and the common difference d
The n th term is given by 3n + 2, thus
a₁ = 3(1) + 2 = 3 + 2 = 5
a₂ = 3(2) + 2 = 6 + 2 = 8
d = 8 - 5 = 3
= [ 2a₁ + (n - 1)d ], substitute values
= [ (2 × 5) + 3(n - 1) ] = (10 + 3n - 3) = (3n + 7)
Volume=length times width times height
this should be easy
a.
the volume of a box is 2.5 times 1 times 1 or 2.5 cubic meters
b.
number of boxes times volume per box=volume of container
number of boxes=volumecontainer/volumebox
find volumecontianer
volumecontainer=5 times 2 times 3=30 cubic meters
number of boxes=30/2.5
number of boxes=12
12 boxes needed to fill container
c.
box
1m=100cm
1m by 1m by 2.5m convert so (times everybody by 100)
100cm by 100cm by 250cm
multiply
2,500,000 cubic centimeters
Each paper cup is a cone.
The volume if a cone is (1/3) (pi) (radius)² (height)
Notice, in the picture they labeled the <em>diameter</em> of the cup = 8 cm.
But we need the<em> radius</em>. that's 1/2 of the diameter = 4 cm.
So, the volume of these paper cups is
(1/3) (pi) (4cm)² (11 cm) = about <em><u>184 cm³</u></em>
=====================
It says that tons of lemons have been sacrificed, and you have
about 37,850 cm³ of lemonade.
How many cups will that fill ?
37,850 cm³ / 184 cm³ = about <em>205 cups</em>.
========================
How many packs of cups do you need to buy ?
Unfortunately, they only come in packs of 50.
1 pack = 50 cups . . . . . not enough
2 packs = 100 cups . . . not enough
3 packs = 150 cups . . . not enough
4 packs = 200 cups . . . oh so close but still not enough
You need to buy <em>5 packs = <u>250 cups</u></em>.
=================================
It started raining, so you only sold 80% of the lemonade that you had.
80% means 0.80
"of" means "times"
You started out with 37,850 cm³ .
You sold (0.8) x (37,850 cm³) = about <u>30,280 cm³</u> of it.
How many cups did you fill with that much lemonade ?
(Remember, each cup holds about <u>184 cm³</u>.)
30,280 cm³ / 184 cm³ = about <u>164 cups sold</u>.
You bought 250 cups to start out.
You sold 164 cups of lemonade.
You had (250 bought - 164 used) =
<em>86 clean, unused paper cups, still in the wrappers, left over</em>.
Answer:
a) <u><em>The watch is cheaper in Geneva.</em></u>
b) <u><em>The watch is cheaper by £20</em></u>
Step-by-step explanation:
a) In which city is the watch cheaper?
Step 1. Translate Pounds into Swiss Francs.
£145 * 1.55 = 224.75 CHF
Step 2. Determine which price is higher.
224.75 is greater than 193.75.
Step 3. Always answer a Word problem in complete sentences.
<u><em>The watch is cheaper in Geneva. </em></u>
b) By how much is it cheaper?
224.75 - 193.75 = 31
Translate CHF to Pounds.
31 / 1.55 = 20
<u><em>The watch is cheaper by £20.</em></u>
Answer:
x = 2, 16.
Step-by-step explanation:
x2 - 18x + 81 = 49
(x - 9)^2 = +/- 7
x - 9 = +/- 7
x = 7 + 9, -7 + 9.
x = 2, 16.
