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velikii [3]
3 years ago
5

Solve the system of equations algebraically. 3x-3y=9 6x-7y=5

Mathematics
1 answer:
klemol [59]3 years ago
6 0
3x - 3y = 9 (x - y = 3)
6x -7y=5

We'll use substitution for x:

6(y+3) - 7y = 5
6y + 18 - 7y = 5
-y = -13
y = 13

x - 13 = 3
x = 16

Therefore the answer is (16,13). Hope I helped.
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What is the final amount if 1015 is decreased by 6% followed by a 19% increase?
sleet_krkn [62]

Answer:

1135.38

Step-by-step explanation:

100%->1015

100-6=94

94%->954.1

--------------------------------------------------

100%->954.1

119%->1135.379

       ≈1135.38

3 0
3 years ago
on a grid 2/3 of the squares are shaded with a color 1/4 of the squares on the grid is shaded blue what fraction of the Shaded s
Keith_Richards [23]

Given:

a grid 2/3 of the squares are shaded with color.

And 1/4 of the squares on the grid is shaded blue

So, to Find the fraction of the Shaded squares are blue squares ​

Multiply both fractions

So,

\frac{2}{3}\times\frac{1}{4}=\frac{2}{12}=\frac{2}{2\cdot6}=\frac{1}{6}

so, the answer will be 1/6 of the Shaded squares are blue squares ​

6 0
1 year ago
If a smaller replica of the ferris wheel was constructed, what conclusions could you draw about the central angle of the origina
hoa [83]
The arc and the central angles will be the same.

If you were making a replica ferris wheel it would be similar to the larger ferris wheel. This means that all the angles would be the same. If the angles were the same, the arc measures would also be the same.
4 0
3 years ago
Read 2 more answers
A person invests 4000 dollars in a bank. The bank pays 5.5% interest compounded annually. To the nearest tenth of a year, how lo
Mademuasel [1]

if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.

<h3>What is an interest in banking?</h3>

Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.

The formular for calculating compound interest is expressed as;

A = P(1 + r/n)^(n*t)

Where A is final amount, P is initial principal balance, r is interest rate, n is  number of times interest applied per time period and t is number of time periods elapsed.

Given the data in the question;

  • Initial principal balance P = $4000
  • Interest rate r = 5.5% anuually = 5.5/100 = 0.055
  • Final amount A = $5600
  • Time t = ?

We substitute our given values into the expression above.

A = P(1 + r/n)^(n*t)

5600 = 4000(1 + 0.055/1)^(1*t)

5600 = 4000( 1.055 )^t

( 1.055 )^t = 5600 / 4000

( 1.055 )^t  = 1.4

We take log of each sides

0.02325t = 0.1461

t = 0.1461 / 0.02325

t = 6.3

Therefore, if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

8 0
2 years ago
Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?
AURORKA [14]

Answer:

A pair of linear functions

Step-by-step explanation:

7 0
4 years ago
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