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iragen [17]
3 years ago
7

Please answer the attached question with explaination

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

Answer:

4 leaps

Step-by-step explanation:

(1 - aⁿ) / (1 - a) = 300 / 160 = 15/8     a = 1/2

(1 - (1/2)ⁿ) / (1 - 1/2) = 15/8

1 - (1/2)ⁿ = 15/16

(1/2)ⁿ = 1/16

n = 4

check: 1st leap: 160

2nd leap: 80

3rd leap: 40

4th leap: 20

160+80+40+20 = 300

Over [174]3 years ago
7 0

Answer:

larpeiohgan a hag saasa:

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What is the volume of the composite object below?
castortr0y [4]

Answer:

216 cubic inches

Step-by-step explanation:

(9)(3)(3)=81

(3)(3)(9)=81

(3)(3)(6)=54

81+81+54=216

So, it's 216 cubic inches in volume.

6 0
3 years ago
Tim buys a torch and battery the torch costs 11 times as much as the battery Tim pays with a ?10 note and he gets ?4.84 change h
KengaRu [80]

The cost of 1 battery is 0.43

Step-by-step explanation:

Let the cost of 1 battery be x

We are given that the torch costs 11 times as much as the battery

Cost of torch = 11x

Total cost of 1 battery and torch = 11x+x=12x

Tim pays $10

He receives change of $4.84

Total cost of 1 torch and battery = 10 - 4.84 =$5.16

So,12x= 5.16

x= \frac{5.16}{12}

x=0.43

Hence the cost of 1 battery is 0.43

6 0
4 years ago
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Vsevolod [243]
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4 0
3 years ago
The perimeter of the rectangle is 22 meters, and the perimeter of the triangle is 12 meters. Find the dimensions of the rectangl
lianna [129]

Answer:

Length:8 m

Width:3 m

Step-by-step explanation:

<u><em>The complete question is</em></u>

If the perimeter of a rectangle is 22 meters, and the perimeter of a right triangle is 12 meters (the sides of the triangle are half the length of the rectangle, the width of the rectangle, and the hypotenuse is 5 meters). How do you solve for L and W, the dimensions of the rectangle.

step 1

<em>Perimeter of rectangle</em>

we know that

The perimeter of rectangle is equal to

P=2(L+W)

we have

P=22\ m

so

22=2(L+W)

Simplify

11=L+W -----> equation A

step 2

Perimeter of triangle

The perimeter of triangle is equal to

P=\frac{L}{2}+W+5

P=12\ m

so

12=\frac{L}{2}+W+5

Multiply by 2 both sides

24=L+2W+10

L+2W=14 ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (8,3)

see the attached figure

therefore

The dimensions of the rectangle are

Length:8 m

Width:3 m

3 0
3 years ago
Lisa, Juan and isaac equally shared 1/2 of a cake which fraction of the whole cake did each of them recieve
IgorLugansk [536]

Answer:

Each will receive \frac{1}{6}th of the cake.

Step-by-step explanation:

Let the amount of cake = c

Lisa, Juan and Isaac are the persons who are sharing half of a cake equally.

Number of persons = 3

Part of the cake shared = \frac{c}{2}

Fraction of the cake shared by each = \frac{\text{Amount of cake shared}}{\text{Number of persons who shared}}

                                                             = \frac{\frac{1}{2}c}{3}

                                                             = \frac{1}{6}c

Therefore, fraction of total cake shared by each member will be \frac{1}{6} of the total amount of cake.

6 0
3 years ago
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