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Rashid [163]
3 years ago
9

Please help with question

Mathematics
1 answer:
Step2247 [10]3 years ago
8 0
To solve this problem you must apply the proccedure below:

 1. Let's call:

 x: hot dogs.
 y: hamburguers.

 2. Then, you must make a system of equations, as below:

 5x+4y=12.25  (i)
 4x+5y=12.50  (ii)

 3. Now, you can solve the system of equation as below:

 5x+4y=12.25
 x=(12.25-4y)/5

 4x+5y=12.50
 4((12.25-4y)/5)+5y=12.50
 y=1.5

 4x+5y=12.50
 4x+5(1.5)=12.50
 x=1.25

 4. Therefore, the answer is:

 The cost of one hot dog is $1.25 and the cost of one hamburguer is $1.50
 
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Step-by-step explanation:

given MQR = 60, PQR = 75

MQP = 75 -60= 15QR = ((18(1+\cos 30))^{2}-(2\cos 15)^{2})^{\frac{1}{2}}

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QR = (PR^{2}-PQ^{2}))^{\frac{1}{2}}

PQ = PM\cos MPQ + MQ\cos MQP=2PM\cos MQP

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We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489

Step-by-step explanation:

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This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.

However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.

Observe that:

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