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2 years ago

IS 9/10, 0.9, and 90% equivalent?

Mathematics

2 answers:

Over [174]2 years ago

8 0

Yes.

Dividing 9 by 10 will give you 0.9. To convert a decimal to a percentage, you must move the decimal point two places to the right. When you do so, you will get 90, meaning it is 90%

wariber [46]2 years ago

7 0

Answer:

yes

Step-by-step explanation:

they are all equivalent because they all equal 0.9

9/10 = 90/100 = 0.9

all percentages can be converted to fraction by putting them over a hundred

90% = 90/100 = 0.9

0.9 obviously = 0.9

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Mount Kosciuszko is the highest mountain in Australia, with a peak of about 2,228 meters above sea level. Lake Erye has the lowe

marta [7]

Answer:

Option (A)

Step-by-step explanation:

Heights above the sea level are denoted with positive notations and depths below the sea level with negative.

Height of the highest peak of the mountain = +2228 meters

Lowest point of the lake = -15 meters

Difference between these elevations = 2228 - (-15)

= 2243 meters

Therefore, Option (A) will be the correct option.

6 0

3 years ago

Divide the given polynomial by the given monomial 3 x square - 2 x divided by X

inna [77]

Dividing (3x^2-2x) by x gives out 3x-2

7 0

3 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

Okay I know I suck at math and I really don't understand math that well so can you help me on this??? Thank you!

Alja [10]

W - width
l - length
p - perimeter

The perimeter is 72 cm (p=72).
The length is twice the width (l=2w).
The formula for perimeter is 2w+2l=P.

$p=72 \\
l=2w \\ \\
2w+2l=p \\
2w+2 \cdot 2w=72 \\
2w+4w=72 \\
6w=72 \\
w=12 \\ \\
l=2w=2 \cdot 12 =24$

Check the answer:
$2 \cdot 12 + 2 \cdot 24 \stackrel{?}{=} 72 \\
24+48 \stackrel{?}{=} 72 \\
72 \stackrel{?}{=} 72 \\ \hbox{true}$

The length of the photo is 24 cm, the width of the photo is 12 cm.

8 0

3 years ago

What is the value of x?

Kazeer [188]

Answer:

Step-by-step explanation:

The volume of a sphere is

$V=\frac{4}{3}\pi r^3$