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bearhunter [10]
3 years ago
12

how many numbers have this property: when you subtract 297 from it, you get the same number but in reverse.

Mathematics
1 answer:
jasenka [17]3 years ago
8 0

9514 1404 393

Answer:

  60

Step-by-step explanation:

Consider the number with digits x, y, z. Its value will be 100z+10y+z. We want the same value when we reverse the digits after subtracting 297.

  100x +10y +z -297 = 100z +10y +x

  99x -99z = 297 . . . . . subtract 100z+10y+x-297

  x -z = 3 . . . . . . . . . . . . divide by 99

The first digit of the number is 3 more than the last digit. There are 60 such numbers. The first digit may be 4..9, and the middle digit may be 0..9.

  401, 502, 603, ..., 906; 411, 512, 613, ..., 916, ..., 491, 592, 693, ... 996

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alexandr402 [8]

Grant needs to ride at least 13.33 miles to male at least $ 15.00 a day

<em><u>Solution:</u></em>

Given that Grant has an agreement with Brian to rent the bike for $35.00 a night

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Grant needs to make at least $15.00 a day

To find: miles needed to ride

From given question, He charges customers $3.75 for every mile he transports them

So if he transports for "x" miles he would get,

\$ 3.75 \times x = \$ 3.75x

So the profit he gets is $ 3.75 and initial cost invested to rent bike is $ 35. Also, Grant needs to make at least $15.00 a day

So we can frame a inequality as:

3.75x - 35 \geq 15\\\\3.75x\geq 35 + 15\\\\3.75x\geq 50\\\\x \geq 13.33

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bearhunter [10]

Answer: 19 macaroons

Step-by-step explanation:

Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.

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The results of the first die and the second one are independent to each other. The expected value of Z is obtained, therefore, by summing the expected values of both X and Y, because Z = X+Y and X and Y are independent. As a result \mu_z = \mu_x + \mu_y = 3.6+8.0 = 11.6 .

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ivolga24 [154]

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