Answer:
u = 6
Step-by-step explanation:
We can use a ratio to solve
3 5
----- = ---------
u 10
Using cross products
3*10 = 5u
30 = 5u
Divide by 5
30/5 = 5u/5
6 = u
Jasmine sells bracelet for "b" to a shop
The shop adds £6.20 to "b" and then sells it at that price. Therefore, the store's profit is £6.20 every time they sell one bracelet.
If the shop makes 80% profit on each bracelet, that means the £6.20 is 80% of the expense they incurred when they buy the bracelet off of Jasmine, in other words, 80% of "b".
So:
6.20 = .8b
b = £7.75
PART B:
Jasmine has 7 1/2 hours or 450 minutes to finish her duties for the fashion show.
For 15 necklaces that require 24 minutes each, that is a total of 15x24 = 360 minutes total to build the necklaces.
The show is 40 miles away. We assume she will travel the maximum 50 mph. So it will take her 40/50 hour or 4/5 hour or 48 minutes to get there.
She also allows 30 minutes for breaks. I'm not sure what this means, but I'm guessing she wants a 30 minute break somewhere in her day so she can get some rest. So we will include the 30 minutes as a requirement.
Therefore, it will take Jasmine 360 + 48 + 30 = 438 minutes in total.
She has 450 minutes available, thus she will be 450-438 = 12 minutes under the deadline.
Answer:
x = 22.5
Step-by-step explanation:
Step 1: Write equation
2.4(x - 10) = 8 + 1.2x - 5
Step 2: Solve for <em>x</em>
- Distribute 2.4: 2.4x - 24 = 8 + 1.2x - 5
- Combine like terms: 2.4x - 24 = 1.2x + 3
- Subtract 1.2x on both sides: 1.2x - 24 = 3
- Add 24 to both sides: 1.2x = 27
- Divide both sides by 1.2: x = 22.5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
2.4(22.5 - 10) = 8 + 1.2(22.5) - 5
2.4(12.5) = 8 + 27 - 5
30 = 8 + 22
30 = 30
Answer:
300%
Step-by-step explanation:
Here we have an exponential function, 
and it is one of the most important functions in the mathematics. In this case, the independet variable is the exponent.
Here we have that represented price increase of 13% each year, which means that 
in our exponential function, while 
represent the journal price at the begining.
So we get the following function:
where 
represents number of years. After 10 years, we get:
The conclusion is that over 10 years, the percentage of increase would be about 300%.
B is congruent to F and E is congruent to C
A and D are not congruent to any others.
Answer:
A . Triangle A
D. Triangle D
