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3 years ago

How do I find the answer to 10.3 = 0.6y? Having trouble with my math.

2 answers:

7 0

you would divide 0.6 on both sides, because the main goal here is to isolate the y and to figure out the value of y. You would divide both the left and right of the equal sign and then be able to find the answer. 0.6/0.6=1. 10.3/0.6= 17.6 repeated, so we'll round to 17.67. The answer would be 17.67=1y, but since 1 can disappear and is not necessary when placed next to a variable, we can change the answer to 17.67=y.

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Nuetrik [128]3 years ago

4 0

we are given

$10.3 = 0.6y$

for finding y , we can isolate y

so, we can divide both sides by 0.6

$\frac{10.3}{0.6} =\frac{0.6y}{0.6}$

$y=\frac{10.3}{0.6}$

$y=\frac{103}{6}$ .............Answer

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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

Use the Factor Theorem to determine if x – 2 is a factor of g(x) = 2³ − 5x²+x+2

MA_775_DIABLO [31]

Answer:

(x -2) is a factor

Step-by-step explanation:

The factor theorem tells you that (x-2) is a factor of g(x) if g(2) = 0.

g(2) = 2·2³ -5·2² +2 +2 = 16 -20 +2 +2 = 0

Since g(2) = 0, (x -2) is a factor of g(x).

The graph shows us the complete factorization is ...

g(x) = (2x +1)(x -1)(x -2)

4 0

3 years ago

Solve for x<br> 5x - 10> 20 or 5x – 105-15<br> -13x<6<br> x3_5 orx>6<br> 3-1 or x>6

matrenka [14]

Answer:

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7 0

4 years ago

The volume is ___ cubic cm.

Effectus [21]

Answer:

Step-by-step explanation:

This looked very difficult UNTIL I looked at the pyramid as ONE HALF of a larger pyramid! Image a mirror image of the pyramid creating a pyramid that is 12 cm of the front and back side and 6 cm on the left and right edge.

IT IS NO LONGER A SQUARE PYAMID so you need the volume for a rectanglar pyramid

The volume of a square pyramide is .....

V = side² × (height / 3)

The volume of a rectangular pyramide is .....

V = base area × (height / 3)

= length × width × (height / 3)

= 12 × 6 × 10 / 3 cm³ BUT REMEMBER we want only HALF of the

= [12 × 3 × 10] divide by 2 cm³ Rectangular pyamid

Volume of the image shown in the diagram is ....

= 360 / 2 cm³

= 180 cm³ <----------------- Final Answer

7 0