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solong [7]
3 years ago
8

Ms Walsh has 2 separate 7 foot boards.she needs to cut pieces that are 11 inches long from the boards.what is the greatest numbe

r of 11-inch pieces she can cut from 2 boards
Mathematics
1 answer:
vazorg [7]3 years ago
5 0
Ms. Walsh can get 12 11 inch boards
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Hello I don’t understand question 9 a and b. Please show working out.<br> Thanks
brilliants [131]
A) I would make the positive integer x and then form an equation.

x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6

Since the question asks for a positive integer the answer is 7.

B) two positive numbers x and y.

X - y = 3
x^2 + y^2 = 117

Use these simultaneous equations to figure out each number.

Rearrange the first equation

x = y + 3

Then substitute it into the second equation.

(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)

This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.

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x = y + 3
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3 0
3 years ago
1. Given the equation ​ ​y​ = -3​x​ + 2.5
valentina_108 [34]

Answer:

a. when x=1 so substitute 1 to any X in the given equation.

y=-3(1)+2.5

y=-3+2.5

y=-0.5

b.when x is -1.5 so substitute -1.5 to any x in the equation

y=-3(-1.5)+2.5

y=-4.5+2.5

y=-2

4 0
3 years ago
What 324568 x 951478
KengaRu [80]

Answer:

3088.1931 is your answer

Step-by-step explanation:

3 0
3 years ago
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