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2 years ago

Round 0.9998 to 3 decimal places

2 answers:

5 0

In the laws of mathematics, especially in rounding off digits, you should take note of the digit following that number no matter how long or short a number is. If the number is preceded by numbers between 0-4, the number does not change. However if its is preceded by numbers between 5-9, add one to the number. In this problem, you are required to round off each number to the nearest ten million before adding them. So 0.9998 is equal to 1

mojhsa [17]2 years ago

3 0

The answer would be one because .9998 would round the 9 to a 10 which would round the second 9 and then the third nine to make 1

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How can we find how many inches wide the coat box is?

Alex777 [14]

Answer:

First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.

Option A is correct.

Step-by-step explanation:

The total width of box is = 32.476

Width of box of T-shirts = 15.438

Width of box of Socks = 3.18

We need to find width of coat box.

The width of coat box can be found as:

Total Width = Width of box of T-shirts + Width of box of Socks + width of coat box

32.476 = 15.438 + 3.18 + width of coat box

32.476 = 18.618 + width of coat box

width of coat box= 32.476 - 18.618

width of coat box = 13.858

So, The Width of coat box = 13.858 inches

First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.

Option A is correct.

5 0

1 year ago

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

oksian1 [2.3K]

Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions.

y ≤ 40 – x, if x must be between 0 and 10, y must be between 20 and 40 it is true
proof
for x=0 and y=10, y ≤ 40 – x equivalent to 10<40-0=40 it is true
x=10, y=30, y ≤ 40 – x equivalent to 30=40-10=30 it is true

the answer is A) Yes, Chaneece found the correct solution.

5 0

2 years ago

Read 2 more answers

Drag the tiles to the correct boxes to complete pair. Two cards are drawn from a well-shuffled standard deck of cards. Match eac

joja [24]

Answer:

The correct answers are given below

Step-by-step explanation:

In a deck of 52 cards, there are 4 suits of 13 cards

1) Spade(red)

2). Heart(red)

3). Diamonds (red)

4). Clubs (black)

Each suits area ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3 and 2

To find the probabilities

1). The probability of drawing a red ace followed by another ace of any color without replacement = 2/52 *3/51 = 1/442

2). The probability of drawing a 3 or 5 followed by a 4 or 6 with replacement = 8/52 * 8/52 = 4/169

3). The probability of drawing a king followed by queen with replacement = 4/52 * 4/52 = 1/169

4). The probability of drawing a spade followed by a jack of any color with replacement = 13/52 * 4/52 = 1/52

8 0

2 years ago

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Triangle XYZ with vertices X(0, 0), Y(0, –2), and Z(–2, –2) is rotated to create the image triangle X'(0, 0), Y'(2, 0), and Z'(2

Marina86 [1]

Answer: The correct options are

(A) Rotation 90° anticlockwise.

(D) (x, y) → (–y, x).

Step-by-step explanation: Given that ΔXYZ is rotated to create the image triangle ΔX'Y'Z'.

Triangle XYZ and its image triangle X'Y'Z' are shown in the attached figure.

The co-ordinates of the vertices of ΔXYZ are X(0, 0), Y(0, -2) and Z(-2, -2).

And the co-ordinates of the vertices ΔX'Y'Z' are X'(0, 0), Y'(2, 0) and Z'(2, -2).

Option (A) Rotation 90°:

We see from the figure that if we rotate ΔXYZ is rotated 90° anticlockwise, then it will coincide with ΔX'Y'Z'.

So, rotation of 90° anticlockwise is a correct option.

Option (B) Rotation 180°:

If we rotate ΔXYZ is rotated clockwise or anticlockwise 180°, then it will NOT coincide with ΔX'Y'Z'.

So, rotation of 180° is NOT a correct option.

Option (C) Rotation 270°:

If we rotate ΔXYZ is rotated clockwise 270°, then also it will not coincide with ΔX'Y'Z'.

So, rotation of 270° clockwise is also a correct option.

Option (D) (x, y) → (–y, x):

We see that the co-ordinates of both the triangle follow the transformation

X(0, 0) ⇒ X'(0, 0)

Y(0, -2) ⇒ Y'(2, 0)

Z(-2, -2) ⇒ Z'(2, -2).

So, the transformation is (x, y) ⇒ (-y, x).

Therefore, the transformation (x, y) → (–y, x) is a correct option.

Option (E) (x, y) → (y, -x):

We see that the co-ordinates of both the triangle does NOT follow this transformation

For example, suppose this transformation is correct. Then, we have

Y(0, -2) ⇒ (-2, 0), which are not the co-ordinates of Y'.

Therefore, the transformation (x, y) → (–y, x) is NOT a correct option.

Thus, the correct options are:

(A) Rotation 90° anticlockwise.

(D) (x, y) → (–y, x).

9 0

2 years ago

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After working satisfactorily for 6 months, Dave received a 7% raise. His original gross monthly salary was $1083.34. What is Dav

Dmitriy789 [7]

Answer:

Step-by-step explanation:

His original gross monthly salary was $1083.34. This means that the total amount that he earned that he earned in the first 6 months would be

6 × 1083.34 = $6500.4

After working satisfactorily for 6 months, Dave received a 7% raise. The amount by which it was raised would be

7/100 × 6500.4 = $455.00

His salary for the next 6 months would be

6500.4 + 455.00 = $6955.40

Dave's gross annual salary would be

6955.40 + 6500.4

= $13455.8

7 0

2 years ago

Read 2 more answers