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1 year ago

You start at (0, 8). You move down 7 units and right 8 units. Where do you end?

Mathematics

1 answer:

oee [108]1 year ago

3 0

<h3>Answer: (8, 1)</h3>

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Explanation:

The "move down 7" means the y coordinate 8 becomes 8-7 = 1

We subtract 7 from the y coordinate.

The "move right 8 units" means we add 8 to the x coordinate to get 0+8 = 8

Therefore, the point (0,8) moves to (8, 1)

Check out the diagram below.

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The probability of rolling two dice at the same time and getting a 4 with either die or the sum of the dice is 6

aleksklad [387]

Answer:

Suppose that the first die we roll comes up as a 1. The other die roll could be a 1, 2, 3, 4, 5, or 6. Now suppose that the first die is a 2. The other die roll again could be a 1, 2, 3, 4, 5, or 6. We have already found 12 potential outcomes, and have yet to exhaust all of the possibilities of the first die. But with a second dice, there will be 24 different possibilities.

Step-by-step explanation:

1 2 3 4 5 6

1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

5 (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

6 (6, 1) (6, 2) (6, 3) (<u>6, 4</u>) (6, 5) (6, 6)

4 0

3 years ago

A rectangular prism has a base area of 56 square feet and a volume of 840 cubic feet. The length of the base is longer than the

katovenus [111]

The answer is 8 ft.

The base area of rectangular prism is: A = l * w = 56 ft²
<span>The length of the base is longer than the width: l > w

The volume of the prism is: V = l * w * h = 840 ft</span>³
<span>The sum of the length and width of the base is equal to the height of the pyramid: l + w = h

So:
</span>l * w = 56
l * w * h = 840
___
56 * h = 840
h = 840 / 56
h = 15 ft

Now, we know that
l + w = 15 ⇒ w = 15 - l
l * w = 56
___
l * (15 - l) = 56
15l - l² = 56
0 = l² - 15l + 56

Or: l² - 15l + 56 = 0

Let's solve the quadratic function:
l = (-b +/-√(b² - 4ac)/(2a)
= (15 +/-√(-15)² - 4 * 1 * 56))/(2*1)
= (15 +/- √(225 - 224))/2
= (15 +/- √1)/2
= (15 +/-1)/2

l = (15+1)/2 = 16/2 = 8
or
l = (15-1)/2 = 14/2 = 7

If l = 8, then w = 15 - 8 = 7. So, l > w
If l = 7, then w = 15 - 7 = 8. So, l < w

Therefore, l = 8 ft.

6 0

3 years ago

lauren is the youngest of four sisters. the average of their ages(all different whole numbers) is 9 years. what is the oldest th

Elina [12.6K]

The max of Lauren's age --> the minimum of the others' ages, 1, 2 & 3

4*avg = 4*9 = 36

36 - (1+2+3) = 30

Lauren is 30 yrs of age, or younger.

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2 years ago

List the element of D= the set of prime numbers from 1 to 16

Vedmedyk [2.9K]

Answer:

ım not speak english because i'm turkish sorry

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2 years ago

Help plz it's solving equations with addition and subtraction but the drawing above is how my teacher wants the answer

saveliy_v [14]

You just finish the equation by adding 19 to 42 which is 61.

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2 years ago

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