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Travka [436]
2 years ago
8

The sum twice a number and 3 is 54

Mathematics
1 answer:
pshichka [43]2 years ago
4 0

Answer:

25.5

Step-by-step explanation

25.5 x 2= 51+3=54

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In the diagram, AE = 2AC and ∠BAC ≅ ∠DAE. What additional information is necessary to prove that ΔABC is similar to ΔADE, using
ss7ja [257]

Since you want to use the SAS theorem, you must find sides that are either side of angles BAC and DAE. You have already made use of sides AE and AC, so the other sides you need to choose are AB and AD. The appropriate relationship for similarity is ...

... AD = 2AB

since you want the sides of triangle ADE to be twice then length of those in triangle ABC.

7 0
3 years ago
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Paul raised $48 for a local charity. Sara raised $8. How many times as much money did Paul raise than Sara?
Nina [5.8K]

Answer:

answer is 6

Step-by-step explanation:

48/8=6

hope this helps!

3 0
2 years ago
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Lucy makes green paint by mixing yellow and blue paint in the ratio 5:2. Blue paint costs
ahrayia [7]

Answer:

No, she won’t make a profit

Step-by-step explanation:

Here, we are interested in determining if Lucy made a profit or a loss.

The cost of blue paint is 30 pounds for 5 liters. This means that a liter of blue paint is 30/5 = 6 pounds per liter

The cost of yellow paint is 28 pounds per 7 liters, the cost per liter is 28/7 = 4 pounds per liter

Now, in her mixing, she mixes 5 parts of yellow paint and 2 parts of blue paint.

This means that she mixed them the ratio as follows per liter;

For yellow, we have; 5/(5+2) = 5/7

For blue we have 2/(5+2) = 2/7

Now since a liter of yellow paint cost 4 pounds

5/7 of a liter will cost 5/7 * 4 = 20/7 pounds

For the blue paint, a liter cost 6 pounds, 2/7 of a liter will cost 2/7 * 6 = 12/7

The total cost in pounds in this;

20/7 + 12/7 = 32/7 = £4.57 pounds to 2 decimal place

Now she sells her green paint product at £4.5 per liter. Since this is less than the cost price of production which is £4.57, she is running at a loss

8 0
3 years ago
Mohit pays rupees 9000 as an amount on the sum of rupees 7000 that he had borrowed for 2 years.
Sphinxa [80]

Answer:

The required rate of interest   =   14.285%

Step-by-step explanation:

Here, The principal amount = 7,000

The final paid amount = 9,000

Time = 2 years

Let us assume the rate of interest = R

Now, Simple Interest  =  Amount - Principal

                                      =  9,000 - 7,000  = 2,000

So, the SI on the given principal for 2 years  = 2,000

\textrm{SIMPLE INTEREST } = \frac{P \times  R \times T}{100}\\\implies 2000 = \frac{7,000 \times  R \times 2}{100}\\\implies R = \frac{2,000 \times 100}{7,000 \times 2}  = 14.285

or, R =  14.285%

Hence, the required rate of interest   =   14.285%

8 0
3 years ago
A. 11/1=165/h<br> B. 11/1=h/165<br> C. 132/12=h/165<br> D=12/132=165/h<br><br> plz help
Hunter-Best [27]

D=12/132=165/h

Hope dis helps! :D

3 0
2 years ago
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