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Sergeu [11.5K]
3 years ago
13

Ben's making bow ties. How many 1/2 yard-long bow ties can he make if he has 18 feet of fabric

Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

12 bow ties

Step-by-step explanation:

1/2 yard = 1.5 feet = 1 bow tie

1.5 x 2 = 3 feet

1 yd = 2 bow ties

18/3 = 6 yards

6 x 2 = 12 bow ties

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Ken has a rectangular shaped vegetable garden that is 15 feet by 9 feet. He would like to increase the length and width by the s
tigry1 [53]

The current area is 15 x 9 = 135 square feet.

He wants to increase both the length and width by X:

Set up an equation:

(15 +x) * (9 +x) = 135 * 2

Simplify :

x^2 + 24x  +  135 = 270

Subtract 270 from both sides:

x^2 + 24x - 135 = 0

Use the quadratic formula to solve for x:

-24 +/- √(24^2 - 4(1*-135) / 2*1

x = 4.7 or -28.7

The answer has to be a positive value, so x = 4.7 feet.

8 0
3 years ago
(07.02) Simplify (3x − 5) − (4x + 6). (1 point) −x −11 x − 11 −x + 11 x + 11
swat32
(3x − 5) − (4x + 6)
to simplify combine like terms
= (3x - 4x) + (-5 - 6)
= -1x - 11 (same as -x - 11)

ANSWER: -1x - 11 (first choice)

Hope this helps! :)
3 0
3 years ago
- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :
RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
-2(6x + 5) = 74<br> Can you solve this for me?
Law Incorporation [45]

−2(6x+5)=74

Simplify both sides of the equation.

−2(6x+5)=74

−2 x 6x−2 x 5=74

−12x−10=74

Add 10 to both sides.

−12x−10=74

      +10 +10

−12x=84

Divide both sides by -12.

−12x = 84

/−12   /-12

x=-7

hope it helps!

8 0
3 years ago
Read 2 more answers
Can someone help me with this?
Natasha2012 [34]

Answer: X can not be 11 or higher, so that means this problem will be 10 or lower. There for the value of X=6

Step-by-step explanation:

4 0
3 years ago
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