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2 years ago

I don’t understand this!!

Mathematics

1 answer:

Rufina [12.5K]2 years ago

6 0

Answer:

9, 11, 13

Step-by-step explanation:

We can rephrase an odd number into an algebraic equation of (2n+1)

Therefore, 3 consecutive odd numbers would be written as:

(2n+1), (2n+3), (2n+5)

We can then rewrite the question as:

3 x (2n+1) = 2 x (2n+5) + 1

Work out the equation to find n:

6n + 3 = 4n + 10 + 1

(minus 4n from both sides)

2n + 3 = 11

(minus 3 from both sides)

2n = 8

(divide both sides by 2 to get)

n = 4

To find the original 3 consecutive numbers, we just input (4) into (2n+1), (2n+3), (2n+5) to get:

(8+1), (8+3), (8+5)

= 9, 11 and 13

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It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

<em>The percentage in y is 300%</em>

7 0

3 years ago

What is 9,276 divided by 8

mamaluj [8]

9,276÷8=1,159.5 i hope i helped you i am a 3rd grader

6 0

3 years ago

Help asap grade 5 math help fast help quick !!!

Alja [10]

Answer:

B and D

Step-by-step explanation:

$\frac{5}{6}$ × 13 = $\frac{5(13)}{6}$ = $\frac{65}{6}$ = 10 $\frac{5}{6}$ < 13

4 × 13 = 52 > 13

$\frac{3}{4}$ × 13 = $\frac{3(13)}{4}$ = $\frac{39}{4}$ = 4 $\frac{3}{4}$ < 13

$\frac{10}{10}$ × 13 = 1 × 13 = 13

Band D are equal to or greater than 13

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2 years ago

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3. Find a in the given figure.

Anvisha [2.4K]

Answer:

Step-by-step explanation:

Angles a and b are opposite, so they are equal. The same is true for angles O and 3b.

So, the four angles are actually (starting from the left and going clockwise) 3b,b,3b,b

These four angles sum up to 360, so we have

$3b+b+3b+b =8b = 360 \iff b = \dfrac{360}{8} = 45$

And since a and b were the same, a is also 45 degrees.

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3 years ago

Factorise: 3x²+17x+10

aliina [53]

The answer is (x+5) (3x+2)

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2 years ago

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