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Viktor [21]
2 years ago
13

How many solutions does the following equation have? -1/3x2=5/6+1/3y2 5y2=25/2-5x2

Mathematics
1 answer:
Phantasy [73]2 years ago
6 0

The system of equations have 2 solutions

<h3>How to determine the number of solutions?</h3>

The system of equations is given as:

-1/3x² = 5/6 + 1/3y²

5y² = 25/2 - 5x²

Next, we plot the graph of the system of equations.

From the attached graph, the equations intersect at two points

Hence, the system of equations have 2 solutions

Read more about system of equations at:

brainly.com/question/12895249

#SPJ1

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Evaluate and simplify the following complex fraction.:6/7 ÷ 3/11​
inna [77]

Answer:

3  7/50

Step-by-step explanation:

so you need them to become common denominators

a common multiple they both have would be is 77

6/7 becomes 66/77 and 3/11 becomes 21/77

now we divide

keep the 66/77 as is and flip 21/77 (keep, change, flip)

so now our equation looks like this: 66/77 x 77/21

and your answer is 3.14

but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)

3 0
2 years ago
2x+3(x-2)-3(x-6) figuring for X
emmainna [20.7K]

Answer:

2x+12

Step-by-step explanation:

2x+3(x-2)-3(x-6)

2x+3x-6-3x+18

2x-6+18

2x+12

6 0
3 years ago
Read 2 more answers
From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far i
Alexandra [31]

Answer:

52feet

Step-by-step explanation:

The set up will be a right angle

Let the angle of depression be 30°

The height above the sea level will be the opposite

The distance of the ship from the base is x (adjacent)

Using TOA

Tan theta = opposite/adjacent

Tan 30 = 30/x

x = 30/tan 30

x = 30/0.5774

x = 51.96

x ≈ 52 feet to the nearest foot

8 0
2 years ago
Translate each of the following research questions into appropriate H0 and Ha.
Mandarinka [93]

Answer:

a)

H_{0}: \mu = 62500\text{ dollars per year}\\H_A: \mu > 62500\text{ dollars per year}

b)

H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}

Step-by-step explanation:

We have to build appropriate null and alternate hypothesis for the given scenarios.

a) Population mean, μ = $62,500 per year

The market research wants to find whether the mean household income of mall shoppers is higher than that of the general population.

H_{0}: \mu = 62500\text{ dollars per year}\\H_A: \mu > 62500\text{ dollars per year}

We would use one-tail(right) test to perform this hypothesis.

b) Population mean, μ = 2.6 hours

The company want to know the average time to respond to trouble calls is different or not.

H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}

We would use two-tail test to perform this hypothesis.

7 0
3 years ago
Rafael has a bag of marbles. There are 5 green marbles, 6 red marbles, and 4 white marbles, Rafael picks a marble out of the bag
Llana [10]

Answer:

10/15 or 2/3

Step-by-step explanation:

15 marbles and if you add 6 red and 4 white that is 10 out of 15 marbles

6 0
3 years ago
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