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Alenkinab [10]
3 years ago
12

Joanne and Betty have a combined age of 60 years. If Joanne is 18 years old, how old is Betty?

Mathematics
2 answers:
denis23 [38]3 years ago
8 0

Answer:

42

Step-by-step explanation:

kirill115 [55]3 years ago
3 0

Answer:

42

Step-by-step explanation:

Let Joanne age be x

let betty age by y

. ° . x + y = 60

if joanne is 18

y = 18

x + 18 = 60

x = 60 - 18

x = 42

. ° . betty = 42

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8 0
3 years ago
An arched drainage culvert can be modelled by the function:
Zanzabum

Substitute 136.5 for y.

136.5=\frac{x(191-x)}{60}

8190=x(191-x)

8190=191x-x^{2}

x^{2} -191x+8190=0

Compare this equation with ax^{2} +bx+c=0

a = 1, b = - 191, c = 8190

x=\frac{-b+\sqrt{b^{2}-4ac } }{2} or

x=\frac{-b-\sqrt{b^{2}-4ac } }{2}

x=\frac{191+\sqrt{191^{2}-4(1)(8190) } }{2} or

x=\frac{191-\sqrt{191^{2}-4(1)(8190) } }{2}

x=\frac{191+\sqrt{36481-32760 } }{2} or

x=\frac{191-\sqrt{36481-32760 } }{2}

x=\frac{191+\sqrt{3721 } }{2} or

x=\frac{191-\sqrt{3721 } }{2}

x=\frac{191+61}{2} or

x=\frac{191-61}{2}

x=\frac{252}{2} or

x=\frac{130}{2}

x = 126 or x = 65

Hence, the points on the curve are (65, 136.5) and (126, 136.5).

The width of the air space is the distance between these points.

Width = \sqrt{(x_{2}- x_{1})^{2} +( y_{2}- y_{1}) ^{2}

= \sqrt{(126- 65)^{2} +(136.5-136.5) ^{2}

= 126 - 65

= 61

Hence, width of the air space is 61m.



5 0
3 years ago
1. Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year
Zielflug [23.3K]

Answer:

The value after 7 years is $ 855355.65

Solution:

Given that, Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year

To find:  exponential function to find the annual sales after 7 years

The exponential growth function is given as:

Where,

"a" is the initial amount

"y" is the future value

"r" is the rate of interest in decimal

"t" is the number of years

Here in this given question,

a = 650000

t = 7 years

Substituting the values in given formula,

Thus the value after 7 years is $ 855355.65

Step-by-step explanation:

4 0
3 years ago
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ella [17]
Y=2 is the correct answer
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3 years ago
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jolli1 [7]
The answer is:

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