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Basile [38]
3 years ago
15

A carpenter wants to cut a 45 inch board into two pieces such that the longer piece will be 7 inches longer than the shorter how

long should each piece be
Mathematics
1 answer:
matrenka [14]3 years ago
3 0

Answer:

  • 19 in and 26 in

Step-by-step explanation:

Let the length of the shorter piece be x

Then the longer piece is x + 7

  • x + x + 7 = 45
  • 2x = 45 - 7
  • 2x  = 38
  • x = 19

Short piece = 19 in

Long piece = 26 in

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OverLord2011 [107]
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3 0
2 years ago
!!! PLEASE ANSWER NOW!!! <br>A square has side length 4 cm. What is its area?<br>​
almond37 [142]

Answer:

16 cm

Step-by-step explanation:

  1. 4 × 4 = 16 cm

I hope this helps!

8 0
3 years ago
Read 2 more answers
Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t
gavmur [86]

Answer:

x=-7

Step-by-step explanation:

We have been given an equation y=2x^2+28x+96. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

2x^2+28x+96=0

Dividing both sides by 2:

x^2+14x+48=0

Splitting the middle term:

x^2+6x+8x+48=0

(x^2+6x)+(8x+48)=0

x(x+6)+8(x+6)=0

(x+8)(x+6)=0

Using zero product property:

(x+8)=0\text{ (or) }(x+6)=0

x+8=0\text{ (or) }x+6=0

x=-8\text{ (or) }x=-6

Therefore, the zeros of the given equation are x=-8\text{ (or) }x=-6.

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

\frac{-8+(-6)}{2}=\frac{-14}{2}=-7

Therefore, the equation x=-7 represents the line of symmetry of the given parabola.

4 0
3 years ago
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scoundrel [369]

Answer:

the last one

Step-by-step explanation:

5 0
3 years ago
Susan is going to watch a movie in her collection she has 5 action movies 4comedies and 3 dramas she will randomly select one mo
Ivenika [448]

Answer:

9/12 or 75%.

Step-by-step explanation:

Let's first add the choices all up.

5+4+3= 12.

We have 12 movie choices in total.

Now, we know that we have 3 drama movie choices...so the chance we will choose drama is 3/12, but we are not finding that.  We want the chance she will NOT choose drama, so that would be 9/12.

*Since the chance she will choose drama is 3/12, the chance she will not choose is 9/12. 9+3 is 12, the total amout.*

6 0
2 years ago
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