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zheka24 [161]
2 years ago
10

Jane is building eight 3-legged stools. Each leg is 1/2 yard long. She can cut the legs from wooden rods that are sold in 2-yard

lengths. How many rods will she need to buy?
Mathematics
1 answer:
jonny [76]2 years ago
6 0

Answer:

n = 6\,rods

Step-by-step explanation:

The total of legs needed to build the stools are:

x = (8) \cdot (3)

x = 24

Likewise the total length of the legs is:

L_{tot} = 24\cdot (0.5\,yd)

L_{tot} = 12\,yd

Lastly, the quantity of rods that needed to buy is:

n = \frac{12\,yd}{2\,\frac{yd}{rod} }

n = 6\,rods

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The linear equation y = mx + b contains the point (4, -2) and is perpendicular to the
xenn [34]

A linear equation is represented as: y = mx + b.

The equation of the line is: y =3x - 14

First, we calculate the slope (m) of 6x + 18y = 11

Make y the subject

18y = -6x + 11

Divide by 18

y = -\frac{1}{3}x + \frac{11}{18}

In y = mx + b

m \to slope

So, the slope of y = -\frac{1}{3}x + \frac{11}{18} is:

m = -\frac 13

Since, the line is perpendicular to 6x + 18y = 11

The slope of the line is:

m_1 = -\frac{1}{m}

So, we have:

m_1 = -\frac{1}{-1/3}

m_1 = 3

The line passes through (4,-2).

So, the equation is:

y =m(x - x_1) + y_1

This gives:

y =3(x - 4) -2

y =3x - 12 -2

y =3x - 14

Hence, the linear equation is:

y =3x - 14

Read more about  at:

brainly.com/question/11897796

7 0
3 years ago
Hey I need help with the bottom part?
weqwewe [10]
All of the answers?
3 0
3 years ago
The sum of three numbers is 12. The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is
Ede4ka [16]
A suitable calculator can row-reduce the augmented matrix.

first number: 3
second number: 1
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5 0
3 years ago
Sam has a rectangular field whose length and breadth are in the ratio 8:7. He wants to fence the field with bamboo to make it an
USPshnik [31]

Answer:

Length = 200 m

Breadth = 175 m

Step-by-step explanation:

Perimeter of the rectangular field = Total cost ÷ rate per metre

                                                        = 12000 ÷ 16

                                                        = 750 m

Length : breadth = 8 : 7

Length = 8x

Breadth = 7x

Perimeter = 750

2*(length + breadth) = 750

2*(8x + 7x) = 750

2* 15x = 750

  30x = 750

      x = 750/30

x = 25

Length = 8x = 8*25 = 200 m

Breadth = 7*25 = 175 m

8 0
1 year ago
When f(x) = 2x 2 + 3, find f(-3).<br> -15<br> 21<br> 39
notsponge [240]

Answer:

21

Step-by-step explanation:

f(x) = 2x^2 + 3

f(-3) = 2(-3)^2 + 3

f(-3) = 2(9) + 3

f(-3) = 18 + 3

f(-3) = 21

6 0
3 years ago
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