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3 years ago

A board that measures 34 3 4 feet long is cut into 6 equal pieces. What is the length of each piece?

Mathematics

Umani Bryant

2 years ago

A mass of a board is 540 grams . If Li cuts the board into 6 equal parts. What would the mass of each part be?

3 answers:

kifflom [539]3 years ago

8 0

Answer 1.5

Divide 9/6= "Answer"

Where did the 9 come from?

There are 12in in a foot so 3/4 = 9in

gizmo_the_mogwai [7]3 years ago

8 0

Answer:

$5\frac{19}{24}$ feet

Step-by-step explanation:

The length of the board is = $34\frac{3}{4}$ feet

= $\frac{139}{4}$ feet

We have to cut into 6 equal pieces.

The length of each piece will be = $\frac{\frac{139}{4} }{6}$

= $\frac{139}{24}$

= $5\frac{19}{24}$ feet

= 5.79 feet

The length of each piece would be $5\frac{19}{24}$ feet

Umani Bryant2 years ago

0 0

90 grams

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a line that includes the point (3,4) has a slope of 2. what is the equation in the slope-intercept form?

Andreas93 [3]

Answer:

y=2x-2

Step-by-step explanation:

the slope is y/x

the slope is 2 or 2/1

subtract 2 from the y value and 1 from the x value

(3-1,4-2) = (2,2)

keep doing this until you get a 0 in the x value

(2-1,2-2) = (1,0)

1 is your x-intercept

(1-1,0-2) = (0,-2)

-2 is your y intercept.

So now you know your y-intercept and your slope so you can now write your equation.

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substitute into the equation

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2 years ago

(5x – 3y) (3x + 4y)

MariettaO [177]

Answer:

$\boxed{\red{15 {x}^{2} + 11xy - 12 {y}^{2}}}$

Step-by-step explanation:

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3 years ago

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Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa

Anni [7]

Answer:

1. $\( f\circ g(x)=0.05x-150$

2. $\( g\circ f(x)=0.05x-3000$

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

$f\circ g(x)=f(g(x))$

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

f(x) = 0.05x
g(x) = x - 3000

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

2. The composition of the function

$g\circ f(x)=g(f(x))$

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

$g(f(x))=((0.05x)-3000)=0.05x-3000$

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

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3 years ago

Find the area of triangle ABC when b= 141 degrees a= 7 and c=8

Vlad [161]

You basically use the formula height*base/2 to find the area of the triangle. For instance, let's say a is your chosen base, which has a length of 7. You then use the pythagorean theorem of the right triangle (which is formed by splitting the triangle in half), which is a^2+b^2=c^2, and you substitute half your base for a and the other length (8) for c, which is the hypotenuse of the triangle. Note how this is all being done to find "b", which is the height of the triangle, which will then help you substitute all of your known values into the area formula of a triangle to answer your question. I'm not sure if b=141 degrees would have an impact on this question, but I hope this helped you in some way.

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2 years ago

How do you write the equation of a line (in slope intercept form) with three given points?

Mrrafil [7]

With even just two points, you can find the equation of a line in slope-intercept form.

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The equation to solve for the slope is $m=\frac{y_2-y_1}{x_2-x_1}$ when the two points are $(x_1,y_1)$ and $(x_2,y_2)$ . Plug the coordinates of these points into the equation and solve for $m$ .

Then, plug $m$ into $y=mx+b$ .

1) Solve for the y-intercept ( $b$ )

Then, take any of the given points and plug it into $y=mx+b$ along with the slope. Isolate $b$ to get the y-intercept. Then, plug both m and b back into $y=mx+b$ to get your final equation.

I hope this helps!

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2 years ago

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