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Ostrovityanka [42]
1 year ago
6

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the missing part. Use an improper fraction for your answer.

Mathematics
1 answer:
Romashka-Z-Leto [24]1 year ago
4 0

Answer:

\dfrac{15}{2}

Step-by-step explanation:

The diagram shows right triangle with hypotenuse of 15 units and angle of 30°. This angle is opposite to the leg with length of x units.

In the right triangle, the leg opposite to the 30° angle is half of the hypotenuse, so

x=\dfrac{15}{2}\ units

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Claire for to a show sale. Everything on the shelf is 35% off the marked price. She falls in love with a pair of red heels that
lyudmila [28]
Percentage of discount on the Marked price = 35%
Marked price of the pair of red heels that Claire falls in love with = $64.99
Then
Amount of discount on the
marked price of the pair of red heels = (35/100) * 64.99 dollars
                                                           = 0.35 * 64.99 dollars
                                                           = 22.746 dollars
                                                           = 22.75 dollars
Then
Price of the red heels after discount = (64.99 - 22.75) dollars
                                                           = 42.24 dollars
Percentage of sales tax that needs to be given by Claire = 7.5%
Amount of sales tax that needs to be given by Claire = (7.5/100) * 42.24 dollars
                                                                                     = 316.80/100 dollars
                                                                                     = 3.168 dollars
                                                                                     = 3.17 dollars
Then
The total price of the
red heels that Claire has to pay = (42.24 + 3.17) dollars
                                                   = 45.41 dollars
So Claire has to pay a total of $45.41 for the pair of red heels she has fallen in love with.
8 0
1 year ago
The local orchestra has been invited to play at a festival. There are 111 members of the orchestra and 6 are licensed to drive l
Nezavi [6.7K]

- Make an equation representing the number of vehicles needed.

We have six drivers so

x + y ≤ 6

That's not really an equation; it's an inequality.  We want to use all our drivers so we can use the small vans, so

x + y = 6

- Make an equation representing the total number of seats in vehicles for the orchestra members.

s = 25x + 12y

That's how many seats total; it has to be at least 111 so again an inequality,

25x + 12y ≥ 111

We solve it like a system of equations.  

x + y = 6

y = 6 - x

111 = 25x + 12y = 25x + 12(6-x)

111 = 25x + 72 - 12x

111 - 72 = 13 x

39 = 13 x

x = 3

Look at that,  it worked out exactly.  It didn't have to.

y = 6 - x = 3

Answer: 3 buses, 3 vans

8 0
1 year ago
Liam says - G) is equivalent to Explain if Liam is correct by completing the
vredina [299]

Answer:

The fraction 5/-12 will be shown as a positive number divided by a negative number, which always results in a negative amount. The fractions have different value, so Liam is not correct.  [I'm assuming thats your fraction because its the same I had a few days ago]

8 0
1 year ago
9 out of 10 people at a game are rooting for the home team. What is the probability that exactly 6 of 8 people sitting together
scZoUnD [109]

A random supporter roots the home team with probability 0.9, and the away team with probability 0.1.

Choosing 6 out of 8 supporters who root for the home team has probability

\displaystyle\binom{8}{6}\cdot 0.9^6\cdot 0.1^2 = 28\cdot0.531441\cdot 0.01=0.14

7 0
2 years ago
Malachy, Gavin and Gavyn share £18 in a ratio 3:1:2. How much money does each person get?
Drupady [299]

Answer:

6

Step-by-step explanation:

18×(3/6) = 918×(1/6) = 318×(2/6) = 6

7 0
1 year ago
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