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Anarel [89]
2 years ago
12

Please refer to the pictures below

Mathematics
1 answer:
IRINA_888 [86]2 years ago
3 0

Answer:

D

8-2

Step-by-step explanation:

System of inequalities are

x + y ≥ 7

8x + 7y ≤ 82

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James earned $361.36 for working last week and $347.85 for working this week. What was the total amount he earned?
Svetach [21]
$709.21
$361.36 for week one + $347.85 for week two = $709.21 total for both weeks
3 0
3 years ago
You are given 1000 one dollar bills and 10 envelopes. Put the bills into the envelopes in such a way that someone can ask you fo
taurus [48]

Answer:

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

Step-by-step explanation:

  • Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.

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:

  1. 1+2+4+8+16+32+64+128+256+489=1000
  2. Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
  3. If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since x-489\leq511, by 2) we know that this would be possible.

4 0
3 years ago
Where are all the answers to Plato Web Geometry?
Vsevolod [243]
It would be web plato because thats how it is, i think.
3 0
3 years ago
What is the length of the altitude of the equilateral triangle below?​
ElenaW [278]

Answer:

A

Step-by-step explanation:

the height a creates with half of the baseline (5) and a leg (10) a right-angled triangle, and we can use Pythagoras to calculate a.

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle, so in our case the 10 side).

10² = a² + 5²

100 = a² + 25

75 = a²

a = sqrt(75) = sqrt(3×25) = 5×sqrt(3)

5 0
2 years ago
Angel buys a 12-pack of granola bars for $9. What is the unit price? $1.33 $0.75 $1.20 $0.80
lys-0071 [83]

Answer:

$.75

Step-by-step explanation:

9 ÷ 12 = 0.75

.75 × 12 = 9

5 0
3 years ago
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