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3 years ago

What is the value of 1 in the number 450.731? A. 0.0001 B. 0.001 C 0.01 D 1

Mathematics

2 answers:

alexdok [17]3 years ago

8 0

The answer is to this is D

tatiyna3 years ago

4 0

The answer should be D

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If x and y are integers greater than 1, is x a multiple of y ? (1) \small 3y^{2}+7y=x (2) \small x^{2}-x is a multiple of y. Sta

Nata [24]

Answer:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Step-by-step explanation:

A multiple of a number is obtained after multiplying the number by an integer.

Here,

x, y are any two integers greater than 1,

(1) We have,

$\small 3y^{2}+7y=x$

$\implies y(3y+7) = x$

∵ y is an integer ⇒ 3y + 7 is also an integer,

⇒ y × an integer = x

That is, when we multiply y by a number we obtain x,

∴ x is a multiple of y.

Thus, statement (1) ALONE is sufficient.

(2),

$\small x^{2}-x\text{ is a multiple of y}$

I.e.

$y\times a = x^2-x$ , where a is an integer,

$\implies y\times a = x(x-1)$

∵ x and x - 1 are disjoint numbers,

There are three possible cases,

Case 1 : x is multiple of y

Case 2 : (x-1) is a multiple of y,

Case 3 : neither x nor x - 1 are multiple of y but their product is multiple of y,

Thus, statement (2) is not sufficient.

8 0

2 years ago

While taking an online pretest for an algebra class, the distance formula was displayed as shown below.

olga_2 [115]

The calculated distance would be in square units instead of linear units.

Answer: Option C.

<u>Explanation:</u>

The Distance Formula itself is actually derived from the Pythagorean Theorem. This is the formula where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).

The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.

6 0

3 years ago

Work out the area of a rectangle with base, b = 14mm and perimeter, P = 30mm

nataly862011 [7]

Answer:

14 mm squared is the area

Step-by-step explanation:

3 0

2 years ago

The SAT is standardized to be normally distributed with a mean µ = 500 and a standard deviation σ = 100. What percentage of SAT

Aliun [14]

Answer:

34.134%

68.268%

Step-by-step explanation:

Given that:

Mean (m) = 500

Standard deviation (s) = 100

Percentage between 500 and 600

P(500 < x < 600)

P(x < 600) - P(x < 500)

Z = (x - m) / s

P(x < 600)

Z = (600 - 500) /100 = 1

P(x < 500)

Z = (500 - 500) / 500 = 0

P(Z< 1) - P(Z < 0)

0.84134 - 0.5

= 0.34134

= 0.34134 * 100%

= 34.134%

B.) Between 400 and 600

P(x < 400)

Z = (400 - 500) /100 = - 1

P(x < 600)

Z = (600 - 500) / 500 = 1

P(Z< 1 ) - P(Z < - 1)

0.84134 - 0.15866

= 0.68268

= 0.68268 * 100%

= 68.268%

8 0

2 years ago

Brandon bought a new pair of shorts at the store when they were having a 10% off sale. If the regular price of the pair of short

spayn [35]

You would multiply the orignial price by (10%) converted to decimal to find the discount:
21 * 0.10
=2.10

Then, you subract the discount from the original price to see how much he paid:

21 - 2.10 = $18.90

6 0

3 years ago

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