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Vika [28.1K]
2 years ago
5

Find the formula for the geometric sequence 4, 20, 100, 500, ...

Mathematics
1 answer:
suter [353]2 years ago
3 0

Answer:

2500

Step-by-step explanation:

it is a geometric progression

r=5

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At Billy‘s preschool they have bicycles and tricycles with a total of 57 wheels. The number of bicycles is three less than three
ikadub [295]
Use b for bicycles b and t for tricycles.

We know that each bicycle has 2 wheels, and each tricycle has 3 wheels, and if the entire number of wheels is 57, that means the 

equation would be: 2b + 3t = 57

We can "separate" b by calling it "25 - t" as an alternative, 

2(25 - t) + 3t = 57, or

50 - 2t + 3t = 57,

or 50 + t = 57, so

t = 7 So there must be 18 bicycles and 7 tricycles.

CHECKING:You can check this out by multiplying 7 tricycles x 3 wheels, which is 21,

and 18 bicycles x 2 wheels, which is 36

36 + 21 = 57
6 0
3 years ago
Josslyn has nickels and dimes in her pocket. The number of nickels is three more than seven times the number of dimes let d repr
vfiekz [6]
7d+3Explanation

to solve this we need to translate into math terms, so

Step 1

a) let d represents the number of dimes

let n represents the number of nickles

so

re write the expressions

\begin{gathered} number\text{ of dimes=d} \\ seven\text{ times the number of dimes = 7d} \\  \end{gathered}

The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles

hence

n=7d+3

therefore , the expression for the number of nickles is

7d+3

I hope this helps you

3 0
1 year ago
Whats the solution of <br> y = x +2 <br> 2x - 5y = 2
aleksandr82 [10.1K]

Answer:

x = -4, y = -2

Step-by-step explanation:

substitute for y

2x - 5(x + 2) = 2

distribute -5

2x -5x - 10 = 2

solve

-3x - 10 = 2

add 10 on both sides

-3x = 12

divide by -3

x = -4

now substitute for x in the equation y = x + 2

y = -4 + 2

y = -2

7 0
2 years ago
Is a rectangular prism has a length width and height of 3/8cm, 5/8cm and 7/8 in a meter respectively then the volume of the pris
myrzilka [38]

The volume of a rectangular prism is given by the multiplication of its three dimensions: if w, h, l are the width, height and length of the prism, the volume is

V = w\cdot h\cdot l

So, in your case, you have

V = \dfrac{3}{8} \cdot \dfrac{5}{8} \cdot \dfrac{7}{8} = \dfrac{3\cdot 5 \cdot 7}{8\cdot 8 \cdot 8} = \dfrac{105}{512}

4 0
3 years ago
An exterior angle of an isosceles triangle has measure 130°. Find two possible sets of measures for the angles of the triangle.
frozen [14]
(1) it can be both exterior of vertex or base. 180-130=50°
vertex is 50°:     base=(180-50)/2=65°
base is 50°:       vertex= 180-2*50=80°

vertex 50 base 65; vertex 80, base 50

(2)base=180-130=50°
vertex=180-2*50=80°

base 50 vertex 80
5 0
3 years ago
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