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Travka [436]
4 years ago
5

mark has a board that is 12 feet long. he cuts the board into 8 pieces that are the same lenghth. how long is each piece?

Mathematics
1 answer:
Anna71 [15]4 years ago
3 0
(12 ft) / 8 = 1.5 ft = 1 foot 6 inches
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M∠1=12x-11°<br> m∠2=10x+17°
Artemon [7]

Answer:

Step-by-step explanation:

X=26

4 0
3 years ago
If 3.x - 7 = 5, then 2x – 1=?
Katyanochek1 [597]

Answer: -2

Step-by-step explanation:

7 0
3 years ago
Perform the indicated operations. x+1/3y+x-2/4y-x=3/6y
Varvara68 [4.7K]
The answer: 
_____________________________________________
x = (⅔)y ;

 y = 3x/2.
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Given:

x + (⅓)y + x - (2/4)<span>y - x = (3/6)y ;
______________________________________ 
</span>
Take  the:  x + x - x = 1x + 1x - 1x = 2x - 1x = 1x = x ; 

and rewrite:

x + (⅓)y - (2/4)y = (3/6)y ;
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 Note that:  (2/4)y = (<span>½)y ; 

        and:   (3/6)y = (</span><span>½)y ;  so;
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Rewrite as:
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</span>x + (⅓)y - (½)y = (½)y ;

Add "(½)y" to EACH SIDE of the equation;
_________________________________
    x  +  (⅓)y  -  (½)y  + (½)y = (½)y + (½)y ;

to get:  x +  (⅓)y = y ; 

x = 1y - (⅓)y = (3/3) y - (1/3)y - [ (3-1)/3] y = (⅔)y ; 

So:  x = (<span>⅔)y ;

In terms of "y" ; 

Given:  </span>(⅔)y = x ; Multiply each side of the equation by "3" ; 

3*[(⅔)y] = 3*x ;
 
 to get:  2y = 3x ;

Now, divide EACH SIDE of the equation by "2" ; to isolate "y" on one side of the equation; and to solve for "y" (in terms of "x"):

     2y / 2 = 3x / 2 ;

to get:  

      y = 3x/2 ;
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6 0
4 years ago
A camera manufacturer spends $1500 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell f
Reil [10]

Answer:

a)The company has to 250 cameras in one day to equal its daily cost

b)Their daily profit  will be $400

Step-by-step explanation:

Given:

overhead expenses = $1500

labour and materials expenses = $9

cameras sell for $15 each

To Find:

(a)How many cameras must the company sell in one day to equal its daily cost

(b) If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?

Solution:

a) let the number of cameras sold per day be x

Total daily cost = overhead expenses +labour and materials expenses

Total daily cost = 1500 + 9x--------------------------(1)

Total daily revenue = 15x------------------------------(2)

Equating (1) and (2)

1500 + 9x = 15x

1500 = 15x- 9x

1500 = 6x

x= \frac{1500}{6}

x= 250

So, the company has to 250 cameras in one day to equal its daily cost.

b) increasing production by 50 cameras per day will give a daily profit of

=>50 X (17-9)

=>50 X 8

=> 400

5 0
3 years ago
Please help me. thank you so much
Sergio [31]

Answer:

7.5

Step-by-step explanation:

So the constant proportionality is easy, it is the depindent veriable (how much it cost) divided by the independent veriable (how much fabric you have).

Put simply you know how much it will cost if you know how many yards you have. so if i have 2 yards i know it cost 15 dolars.

We could make a simple algebraic expretion that describes the proportionality.

C⁒y=7.5

So 7.5 is our constant, so if you know the cost or how many yards we have we always know what the other is.

So if i had 6.7 yards how much would it cost.

It would cost $50.25, what i did was i multiplied 6.7*7.5(our constant) and we got out cost c. Just to dubble check we can plug it in;

50.25⁒6.7 does=7.5 so it works.

8 0
3 years ago
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