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DochEvi [55]
3 years ago
5

Ben has square garden that has sides measuring 12 feet. Ben want to increase every side of his garden by x, feet in order to pla

nt morr vegetables. After Ben increases his garden, it will have a perimeter of 104. (a) Write an equation to find X. (b) solve
Mathematics
1 answer:
Valentin [98]3 years ago
4 0

Answer:

  • (a) 104 = 4(12+x)
  • (b) x = 14

Step-by-step explanation:

(a) The new side length of Ben's garden is (12+x), since x is the amount of increase above the existing 12 ft side length.

The perimeter is the sum of the lengths of the four equal sides, so is ...

  perimeter = 4 × side length

  104 = 4(12+x)

(b) We can solve this by dividing by 4, then subtracting 12.

  26 = 12 +x . . . . . divide the above equation by 4

  14 = x . . . . . . . . . subtract 12

The solution is x = 14.

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If the volume of a cube is increased by a factor of 10 (so that the new volume is 10 times the size of the original volume), by
Alexeev081 [22]

Answer:

surface area of cube 10^{\frac{2}{3} } time

Step-by-step explanation:

given data

new volume =  10 time original volume

to find out

what factor surface area change

solution

we consider here side of cube is a

and volume is V

we consider here a is 2

then volume will be v1 = a³ = 2³ = 8

and surface area = 6a²    = 6(2)² = 24    ..........1

so if volume increase 10 time

than

V = 10 × v1

a³ = 10 × 8

a³= 80

a = 2 × ∛10

and

surface area increase here

surface area = 6a²

surface area = 6( 2 × ∛10 )²

surface area = 24 × 10^{\frac{2}{3} }    ............2

so from equation 1 and 2

surface area / surface area = 24 × 10^{\frac{2}{3} }  / 24

surface area = 10^{\frac{2}{3} }

so here surface area of cube will be 10^{\frac{2}{3} } time

5 0
4 years ago
PLEASE HURRY!!!!!<br><br><br> What is the turning point of the graph of f(x) = |x – 4| ?
viva [34]
f(x)=|x-4|\\&#10;f'(x)=\text{sgn} (x-4)\\&#10;\text{sgn} (x-4)=0\\&#10;x-4=0\\&#10;x=4\\\\&#10;&#10;

For x f'(x).
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\Downarrow\\&#10;
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8 0
3 years ago
The sum of three consecutive integers is -30. find the integers.
slega [8]
Consecutive integers are one apart from each tother
they are
x,x+1,x+2

sum is -30
x+x+1+x+2=-30
3x+3=-30
minus 3 both sides
3x=-33
divide 3
x=-11

find rest
x+1=-11+1=-10
x+2=-11+2=-9

they are
-9,-10,-11
5 0
3 years ago
Jake's apple farm has 228 apple trees. Last year, 182,172 apples were produced at Jake's apple farm. If each apple tree produced
skelet666 [1.2K]

Answer:

799 apples were produced by each tree.

Step-by-step explanation:

182,172 apples evenly produced by 228 trees.

182,172 apples ÷ 228 trees = 799 apples per tree

799 apples • 228 trees = 182,172 apples

I hope this helps

6 0
3 years ago
Read 2 more answers
Will mark brainlest please help!!!!<br> all the choices are the same
Bumek [7]
Going from top to bottom.

The first graph is labeled x≤−5.

The second graph is labeled x>5.

The third graph is labeled x≥−5.

The fourth graph is labeled x>5.

You can find All of these by graphing each inequality.
7 0
2 years ago
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