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VMariaS [17]
3 years ago
11

20 Points! Which ordered pair is the best estimate for the solution of the system of equations?

Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

The best estimate for the solution is the ordered pair  (-6.5,-3.5)

Step-by-step explanation:

we have

y=\frac{3}{2}x+6 ------> equation A

y=\frac{1}{4}x-2 ------> equation B

we know that

using a graphing tool, the solution of the system of equations is the intersection point both graphs

The intersection point is (-6.4,-3.6)

therefore

The best estimate for the solution is the ordered pair  (-6.5,-3.5)

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How many liters of 10% acid solution should be mixed with 30 liters of a 50% acid solution to get a mix that a 20% acid?
Sonja [21]
The attached diagram shows the QUANTITIES and concentrations of each container. The first container has x liters in it ("how many liters of 10%..."). The second container has 30 liters (and 50% of that is acid). The third container has x + 30 liters (because you dumped the first two containers into the third container), and 20% of that is acid.

Write an equation that shows how the acid adds up:

10% of x plus 50% of 30 equals 20% of (x + 30).

.10x+.50(30)=.20(x+30) \\ .10x+15=.20x+6 \\ 15=.10x+6 \\ 9=.10x \\ 90=x

You should add 90 liters of the 10% solution.

7 0
3 years ago
michelle drove 325 miles in 5 hours.if she traveled at a steady speed ,how far did she drive per hour
ASHA 777 [7]

Answer:

65 miles per hour

Step-by-step explanation:

325 divided by 5= 65

4 0
3 years ago
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Please help i am giving away brainliest
Zepler [3.9K]

Answer:

The height for the original part is  10 cm

 

Never mind that the solid is standing at the angle of 60 degrees.

 

If you cut the bottom of the solid at the angle of 30 degrees, and put that part on the top of the solid,  

 

the height is going to be exactly 10 cm.

 

So, we have...      V = (10 * 4 * 3) / 8  

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Step-by-step explanation:

4 0
2 years ago
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Miguel Rodriguez borrowed ​$200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with sim
ahrayia [7]

Answer:

simple interest is $6.8

Miguel pay amount to Julio at the end of 6​ months $206.8

Step-by-step explanation:

Given : Miguel Rodriguez borrowed ​$200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.8​%.


To Find : ​a) How much will the interest amount​ to?


​b) What amount must Miguel pay Julio at the end of 6​ months?


Solution :

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S.I. = principal*rate*time

Where rate is in decimal

Time is in years

So, rate of interest = 6.8 % = 0.068

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S.I. = 6.8

Now To calculate  amount must Miguel pay Julio at the end of 6​ months

Amount = principal +Simple interest

Amount = 200+6.8 =206.8

Hence the simple interest is $6.8

And Miguel pay amount to Julio at the end of 6​ months $206.8

7 0
3 years ago
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Alpha Printing will make 400 brochures for $60. Omega Printing will make 1,000 brochures for $60. How much money will you save o
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Alpha Printing: 400 / 60 =6.6...

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16.6

- 6.6

————-

10

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3 years ago
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