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kompoz [17]
3 years ago
6

A used boat is on sale for $2,400.Austin makes an offer equal to two thirds of this price. How much does Austin offer for the bo

at.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
6 0

(2/3)(2400) = 1600

 

$1600

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During the mayoral election,two debates were held between the canidates. The first debate lasted 1 4/5 hours. The second one las
Andrews [41]

Answer:

3\frac {6}{25} hrs \ or \ 3 hrs\  14 mins \ 24 sec

Step-by-step explanation:

The question calls requires one to get the product of the given time. Since first debate lasted for :

1\frac {4}{5} \ hrs

-and the second lasted

1\frac {4}{5} hrs times more than the first then the second took then the first step will involve converting the mixed fractions into improper fraction which will be:

\frac {9}{5}

-Now multiplying

\frac {9}{5}\times\frac{9}{5}\\\\=\frac{81}{25}=3\frac{6}{25}hrs

5 0
3 years ago
When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c
Gennadij [26K]

Given:

The formula for total cost is

T=p+\dfrac{s}{100}p

where, p is the price of item and s is the sales tax rate (as a percent).

You pay $14.77 for an item priced at $14.

To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

14.77=14+\dfrac{s}{100}(14)

14.77-14=\dfrac{s}{100}(14)

0.77=\dfrac{s}{100}(14)

Multiply both sides by 100.

77=14s

Divide both sides by 14.

\dfrac{77}{14}=s

5.5=s

Therefore, the tax rate is 5.5%.

7 0
3 years ago
(39 points PLZ HELP)Find the sum of a finite geometric series. A ball is dropped from a height of 10 meters. Each time it bounce
erastovalidia [21]

So we need to find the sum of the first 5 terms.

You have told me that the first term is 10 meters, and that r = 0.5 per term.

With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).

Plugging in the terms that we know...

s₅=10((1-0.5⁵)/(1-0.5))

s₅=10(0.96875/0.5)

s₅=10(1.9375)

s₅=19.375

With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.

3 0
3 years ago
Read 2 more answers
A ball is dropped out a wimdow that is 36 feet high. how long does it take for the ball to hit the ground
Readme [11.4K]
36 feet to metres = 10.97
first find the final velocity
vf^2 = vi^2 + 2ad
vf^2 = 0 + 2(9.81)(10.97)
vf^2 = 215.2314
vf = 14.6708

vf = vi + at
at = vf - vi
t = (vf - vi)/a
t = (14.6708)/9.81
t = 1.4955seconds
4 0
3 years ago
3.Solve the system of equations: X-4y=-22 x+4y=10​
laila [671]

Answer:

-0.5

Step-by-step explanation:

Use the simultaneous equations method:

x - 4y = 6

3x + 4y = 10

Add these two equations together to cancel out 'y':

4x = 16

Divide both sides by 4:

x = 4

substitute this value into one of the equations:

(4) - 4y = 6

Subtract 4 from both sides:

- 4y = 2

Divide both sides by -4:

y = -0.5

goodluck!

6 0
3 years ago
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