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Bad White [126]
3 years ago
10

To finance a bridge costing $94,500, the state contributed twice as much as the county and the county contributed twice as much

as the city. How much did each contribute?
Mathematics
1 answer:
bearhunter [10]3 years ago
5 0
The city contributed $13,500; the county contributed $27,000; and the state contributed $54,000.

Let x be the amount the city contributes.  Since the county contributes twice as much as the city, the county's amount is 2x.  Since the state contributes twice as much as the county, the state's amount is 2(2x) = 4x.

They total 94,500:
x+2x+4x = 94500
7x = 94500

Divide both sides by 7:
x = 13500
2x = 27000
4x = 54000
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a 5 inch tall bamboo shoot doubles in height every 3 days. if the equation, y=ab^x where x is the number of doubling periods, re
Lemur [1.5K]
X-doubling periods
Y-height of bamboo
Y=ab^x

1) make a table of values
X Y
1 5
2 10
3 20

2) write equations and substitute
5=ab^1 —> a=5/b^1 —> a=5/b
10=ab^2

Substitute into second equation

10=(5/b)*b^2
10=5b^2/b
10=5b
b=2

Substitute back in

b=2
10=a*2^2
10=4a
a=5/2

End equation:
Y=5/2*2^x


3 0
2 years ago
What is the mode of the following set of numbers: 10, 20, 30, 20, 30, 10, 30, 20, 30, 15 *
likoan [24]

Answer:

A. 30

Step-by-step explanation:

Because it showed up the most

6 0
3 years ago
Read 2 more answers
Simplify the radical
mamaluj [8]

Answer:

9d^3

Step-by-step explanation:

~~~\sqrt{81 d^6}\\\\=\left(81 d^6 \right)^{\tfrac 12}\\\\=\left(81\right)^{\tfrac 12} \cdot \left(d^6 \right)^{\tfrac 12}\\\\=\left(9^2 \right)^{\tfrac 12} \cdot d^{\tfrac 62}\\\\=9d^3

4 0
1 year ago
As a result of a transfer from one school to another, a boy has to walk one
Softa [21]

Answer:

Let the distance of school and house is x k m

Then time taken at speed 2.5 km\hr=

2.5

x

hr

And time taken at speed 4 km\hr=

4

x

hr

∴

2.5

x

−

4

x

=

60

12

⇒

10

4x−2.5x

=

5

1

⇒x=3 km

Then the distance of school and house is 3 k m

may this help you

6 0
2 years ago
The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers.
kkurt [141]

Hey there!!

Let's take the two numbers as 'x' and 'y'

The sum of these two numbers is 36.

... x + y = 36

Twice the first number minus the second is 6.

... 2x - y = 6

Now, we have two equations.

_______________________________________________________

... x + y = 36  

... 2x - y = 6

Now, let's add both the equations.

... 3x = 42

Divide each side by 3.

... x = 42 / 3

... x = 14

<em>Hence, the first number is'14'. </em>

We know the sum of both the numbers is 36.

... x + y = 36

... 14 + y = 36

Subtract 14 on both sides.

... y = 36-14

... y = 22

<em>Hence, the second number is 22. </em>

<em>The numbers are 14 and 22. </em>

Hope my answer helps!!

3 0
3 years ago
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