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k0ka [10]
2 years ago
13

How many ways can 100 be written as the sum of distinct integers from the set {1, 2,..., 15}?

Mathematics
1 answer:
konstantin123 [22]2 years ago
4 0

Answer:

48 ways

Step-by-step explanation:

Let me take a guess

S₁_₁₅ = (1+15)*7 + 8 = 120

There are 48 combinations of distinct digits from 1 to 15 to make 20

120-20=100

So every 20 has a corresponding 100

I wish I got it right, otherwise report it.

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a square pyramid has a height of 14 cm and a base side length of 7 cm. What is the volume of the pyramid. Show work
Brut [27]

Step-by-step explanation:

The volume of a pyramid or cone is:

V = ⅓ Ah

where A is the area of the base and h is the height.

The pyramid has a square base, so:

A = s²

A = (7 cm)²

A = 49 cm²

The height is 14 cm, so the volume is:

V = ⅓ (49 cm²) (14 cm)

V = 686/3 cm³

V ≈ 228.67 cm³

7 0
3 years ago
Solve.
lions [1.4K]

Answer:

b=9,a=12

Step-by-step explanation:

I solved by substitution:

b = 3/4a  ---> plug this into the other equation

a + b = 21   is now    a + 3/4a = 21

Reduce: 7/4a = 21

a = 12

Now solve for b:

b=3/4a is now b=3/4(12)

b=9

6 0
3 years ago
Read 2 more answers
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aksik [14]
11) y=1/4x+2.5

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7 0
2 years ago
The tength of a picture frame is 12 cm more than twice the width. If the perimeter is 204cm, find the
alekssr [168]

Answer:

30cm x 72 cm

Step-by-step explanation:

The perimeter is the measurements of all sides added together. Let's start by dividing the perimeter by 2, so we have the sum of the length and width. This gives us 102cm. Let's call the width <em>x</em>, and the length <em>y</em>. We know <em>y</em> is <em>x</em> times 2 plus 12. (2x + 12) So, we know [x + y = x + (2x + 12)]. So let's solve.

x + y = x + (2x + 12)

102 = x + (2x + 12)

102 = 3x + 12

102 - 12 = 3x + 12 - 12

90 = 3x

90/3 = 3x/3

30 = x

The width is 30cm.

8 0
3 years ago
In the data set {3, 7, 1, 4, 5, 7} what is the mean absolute deviation
Radda [10]
The answer would be 11 because you add them all up the divide by how many numbers you have witch is 6 and you get 4.5. Then you subtract 4.5 from all the numbers of the set and take the absolute value then add them all up again and that how you would get 11.hope I wasn’t to late!
6 0
3 years ago
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