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dlinn [17]
3 years ago
5

Lucy’s savings account has 35% more money than her sister Edy’s. Together, the girls have saved a total of $206.80. How much mon

ey has each girl saved?
Mathematics
1 answer:
kramer3 years ago
7 0
Let Edy's money be x.

Lucy: 35% more --- (135/100) x

x + (135/100) x = 206.80
(47/20)x = 206.80
47x = 206.8 x 20
47x =4136
x = 88

Edy saved $88.
Lucy saved (135/100)(88) = $118.80
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2.)<br> Find the perimeter of an isosceles triangle whose base is 16 cm and whose height is 15 cm.
Otrada [13]

Answer:

50 cm

Step-by-step explanation:

The altitude from the vertex to the base bisects the base and divides the triangle into 2 right triangles.

Using one of the right triangles with legs 8 and 15 , then hypotenuse h is

h² = 8² + 15² = 64 + 225 = 289 ( take the square root of both sides )

h = \sqrt{289} = 17

The 2 congruent sides of the isosceles triangle are 17 cm

Then the perimeter P is

P  = 17 + 17 + 16 = 50 cm

5 0
3 years ago
A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13
charle [14.2K]

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that P(0) = 5000

So

P(t) = 5000e^{rt}

After three hours it grew 6500 bacteria:

This means that P(3) = 6500. We use this to find r.

P(t) = 5000e^{rt}

6500 = 5000e^{3r}

e^{3r} = \frac{65}{50}

\ln{e^{3r}} = \ln{\frac{65}{50}}

3r = \ln{\frac{65}{50}}

r = \frac{\ln{\frac{65}{50}}}{3}

r = 0.0875

So

P(t) = 5000e^{0.0875t}

How many bacteria will be present after 13 hours?

This is P(13). So

P(13) = 5000e^{0.0875*13} = 15594.8

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

7 0
3 years ago
Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can
Lelu [443]

Answer:

2l + 2w = 48

if garden is 15' long

2(15) + 2w = 48 \\ 30 + 2w = 48 \\ 30 - 30 + 2w = 48 - 30 \\ 2w = 18 \\  \frac{2w}{2}  =  \frac{18}{2}  \\ w = 9 \: feet \: wide

7 0
3 years ago
Solve equation. -15 + (-8)=
Daniel [21]

Answer:

The answer is - 23

Step-by-step explanation:

- 15 + (-8) =

- <u>23</u>

8 0
3 years ago
Read 2 more answers
A parking lot has 27 spaces total. if 9 of the spaces have cars in them, what is the ratio empty spaces to filled spaces?​
bonufazy [111]

Answer:

2 : 1

Step-by-step explanation:

27 total

9 filled

27 - 9 = 18 empty

18 : 9

2 : 1

8 0
3 years ago
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