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3 years ago

12

6+9=============================================================================================================================

======================?

2 answers:

Scilla [17]3 years ago

7 0

Answer:

15

Step-by-step explanation:

6+9=15

slavikrds [6]3 years ago

6 0

Answer:

15

Step-by-step explanation:

(6^1-5)1+6+9

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16 feet equal how many yards?

elixir [45]

We know that there are 3 feet in one yard. So, to find out how many yards is equivalent to 16 feet, we must divide this number by 3.

16/3 or 5 1/3

Therefore, 16 feet is equal to 16/3 or 5 1/3 yards.

Hope this helps!

8 0

3 years ago

Read 2 more answers

What is the volume of the composite figure?

Romashka [77]

Answer:

1428 in³

Step-by-step explanation:

To find the volume of this figure, we will need to use two formulas. The volume of a Rectangular Prism ( $A= l * w * h$ ) and volume of a triangular prism. $A = \frac{1}{2}(b*h)$

If we look at the Rectangular Prism, we can find that l = 17, w = 8, and h = 5. Multiply these to find the volume:

17 × 8 × 5 = 680 in³.

Solving for the triangular prism gives us:

A = 1/2 (11 × 8 × 17)

A = 748.

Add these two volumes to find the volume of the composite figure:

748 + 680 = 1428 in³

5 0

3 years ago

1) find the equation of the line parallel to

In-s [12.5K]

<u>Answer:</u>

1) The equation of the line parallel to x-5y=6 and through (4,-2) is 5y = x -14

2) The equation of the line perpendicular to y= -2/5x + 3 and through (2,-1) is 2y = 5x -12

<u>Solution:</u>

<u><em>1) find the equation of the line parallel to x-5y=6 and through (4,-2).</em></u>

Given, line equation is x – 5y = 6

We have to find the line equation that is parallel to given line and passing through the point (4, -2)

Now, let us find slope of the given line.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-5}=\frac{1}{5}$

Now, we know that, slope of parallel lines are equal.

So, slope of required line is 1/5 and it passes through (4, -2)

Now, using point slope form

$y-y_{1}=m\left(x-x_{1}\right) \text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on line. }$

$y-(-2)=\frac{1}{5}(x-4) \rightarrow 5(y+2)=x-4 \rightarrow 5 y+10=x-4 \rightarrow x-5 y=14$

Hence, the line equation is 5y = x -14

<u><em> 2) find the equation of the line perpendicular to y= -2/5x + 3 and through (2,-1)</em></u>

$\text { Given, line equation is } y=-\frac{2}{5} x+3 \rightarrow 5 y=-2 x+15 \rightarrow 2 x+5 y=15$

We have to find the line equation that is perpendicular to given line and passing through the point (2, -1)

Now, let us find slope of the given line.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-2}{5}=-\frac{2}{5}$

Now, we know that, product of slopes of perpendicular lines equals to -1.

So, slope of required line $\times$ slope of given line = -1

slope of required line = $-1 \times \frac{5}{-2}=\frac{5}{2}$

And it passes through (2, -1)

Now, using point slope form

$\begin{array}{l}{\text { Line equation is } y-(-1)=\frac{5}{2}(x-2) \rightarrow 2(y+1)=5(x-2)} \\\\ {\rightarrow 2 y+2=5 x-10 \rightarrow 5 x-2 y=12}\end{array}$

Hence, the line equation is 2y = 5x -12

4 0

3 years ago

Whats the difference between a $20,000 and a $50,000 annual salary over a lifetime?

laiz [17]

The difference between the two salaries is $30,000
50,000
-20,000
__________
30,000

7 0

3 years ago

You mix 1/2 cup of oats for every 1/4 cup of honey to make 12 cups of granola. How much oats and how much honey do you use?

Shalnov [3]

<h2>Answer: </h2>

I will use 6 cups of oats and 1 cup of honey to make 12 cups of granula .

<h3>Explanation: </h3>

Let x be the number of cups of oats and let y be the number of cups of honey. Given statement can be expressed in fractions as

½ x / ¼ y = 12

4x/2y = 12

2x/y = 12

x/y = 12/2 = 6/1

x=6, y=1

Therefore number of cups of oats = x = 6 cups

Number of cups of honey = y = 1 cup

8 0

3 years ago