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Leokris [45]
3 years ago
9

Write the ratio 1 1/7:1/9 in simplest form

Mathematics
1 answer:
Elden [556K]3 years ago
8 0
[tex]<span>1\dfrac{1}{7}=\dfrac{1\cdot7+1}{7}=\dfrac{8}{7}\\\\1\dfrac{1}{7}:\dfrac{1}{9}=\dfrac{8}{7}:\dfrac{1}{9}=\dfrac{8}{7}\cdot\dfrac{9}{1}=\dfrac{72}{7}[tex]

Answer: 1 1/7 : 1/9 = 72 : 7
</span>
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You have 350 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river
IrinaVladis [17]

The length and width that will maximize the area are 175 ft and 87.5 ft respectively

The largest area that can be enclosed is 15312.5 ft²

<h3>Area of a rectangle</h3>
  • area = lw

where

l = length

w = width

The fencing is 350 ft it is use to enclose a rectangular plot with a river occupying one part.

Therefore,

perimeter = l + 2w

350 = l + 2w

l = 350 - 2w

area = (350 - 2w)w

(350 - 2w)w = 0

where

w = 0 or 175

average = 175/2 = 87.5

Hence, the max area is at w = 87.5 ft

Therefore,

l = 350 - 2(87.5) = 175 ft

length = 175 ft

width =  87.5 ft

Therefore,

area = 175 × 87.5 = 15312.5 ft²

Therefore, the largest area that can be enclosed is 15312.5 ft²

learn more on rectangle here: brainly.com/question/11630499

4 0
2 years ago
If f(x) = x over 2 + 8, what is f(x) when x = 10?
jeka57 [31]

Answer:

f(10) = 13

Step-by-step explanation:

f(x) = x/2 + 8

Let x = 10

f(10) = 10/2 +8

f(10) = 5+8

f(10) = 13

8 0
3 years ago
If i spend $ 101.65 at kohls,but have 30% off how much is my total show work please
Juliette [100K]
101.65 x .30= 30.50 saving
 so take 101.65 - 30.50= 71.15
6 0
3 years ago
A small business makes 3-speed and 10-speed bicycles at two different factories. Factory A produces 16 3-speed and 20 10-speed b
GarryVolchara [31]

Answer:

Factory A should be operated 6.11 days

Factory B should be operated 6.88 days

The minimum cost for factory A is $6,110

The minimum cost for factory B is $5,504

Step-by-step explanation:

Factory A

Daily production: 16 3-speed and 20 10-speed bikes

Total daily production = 16+20 = 36 speed bikes

Order: 80 3-speed and 140 10-speed bikes

Total order = 80+140 = 220 speed bikes

Number of days = 220/36 = 6.11 days

Cost per day = $1,000

Minimum cost for 6.11 days = $1000 × 6.11 = $6,110

Factory B

Daily production: 12 3-speed and 20 10-speed bikes

Total daily production = 12+20 = 32 speed bikes

Total order = 220 speed bikes

Number of days = 220/36 = 6.88 days

Cost per day = $800

Cost for 6.88 days = $800 × 6.88 = $5,504

6 0
3 years ago
What is 15-5(4x-7)=50
katovenus [111]

Simplifying

15 + -5(4x + -7) = 50


Reorder the terms:

15 + -5(-7 + 4x) = 50

15 + (-7 * -5 + 4x * -5) = 50

15 + (35 + -20x) = 50


Combine like terms: 15 + 35 = 50

50 + -20x = 50


Add '-50' to each side of the equation.

50 + -50 + -20x = 50 + -50


Combine like terms: 50 + -50 = 0

0 + -20x = 50 + -50

-20x = 50 + -50


Combine like terms: 50 + -50 = 0

-20x = 0


Solving

-20x = 0


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Divide each side by '-20'.

x = 0.0


Simplifying

x = 0.0

5 0
3 years ago
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