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valentina_108 [34]
3 years ago
12

Solve each equation. Remember to check for extraneous solutions!

Mathematics
1 answer:
4vir4ik [10]3 years ago
4 0

Answer:

1. 67/5

2. r=12/13, 0

3. x≈−3.46050487, −1.23912327, 0.69962814

Hope this helps!!!!

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For each line there is one and only one line segment <br> True or false
algol [13]
True hope i helped out

4 0
3 years ago
Read 2 more answers
Heather has divided ​$5400 between two​ investments, one paying 8​%, the other paying 5​%. if the return on her investment is ​$
Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided ​$5400 between two​ investments. We can represent this information as:

x+y=5400...(1)

The return on her investment is ​$345.  

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

(\frac{8}{100})x+(\frac{5}{100})y=345...(2)

0.08x+0.05y=345...(2)

We will use substitution method to solve our system of equations. From equation (1) we will get,

x=5400-y

Substituting this value in equation (2) we will get,

0.08(5400-y)+0.05y=345

432-0.08y+0.05y=345

-0.08y+0.05y=345-432

-0.03y=-87

\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}

y=2900  

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

x+2900=5400

x+2900-2900=5400-2900

x=2500

Therefore, Heather has invested an amount of $2500 at 8%.

6 0
3 years ago
Please help solve for b.
Zanzabum
Subtract a from both sides of the equation.

b=−a+14

6 0
4 years ago
Read 2 more answers
Which of the following values could the number 500,000 be composed of?
OverLord2011 [107]

50000 tens

5000hundreds

How?

  • 1ten=10

50000 tens:-

\\ \sf\longmapsto 50000(10)=500000

  • 1hundred=100

5000hundreds

\\ \sf\longmapsto 5000(100)=500000

8 0
3 years ago
Read 2 more answers
Someone help me please !!!
Andre45 [30]
It's the third one. It is the correct option.

4 0
4 years ago
Read 2 more answers
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