All categories

3 years ago

How many solutions does the system of equations have y=5x+7 and 3y-15x=18

Mathematics

2 answers:

spayn [35]3 years ago

6 0

Hello there.

How many solutions does the system of equations have y=5x+7 and 3y-15x=18

B two

Digiron [165]3 years ago

3 0

Answer:

the answer to the problem is d.

You might be interested in

The garden club earned $15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their ear

bazaltina [42]

Answer: 35

Step-by-step explanation:15 + 15

7 0

3 years ago

Read 2 more answers

The Sky Ranch is a supplier of aircraft parts. Included in stock are 6 altimeters that are correctly calibrated and two that are

almond37 [142]

Answer:

For x = 0, P(x = 0) = 0.35

For x = 1, P(x = 1) = 0.54

For x = 2, P(x = 2) = 0.11

For x = 3, P(x = 3) = 0

Step-by-step explanation:

We are given that the Sky Ranch is a supplier of aircraft parts. Included in stock are 6 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected, one at a time, without replacement.

Let X = the number that are not correctly calibrated.

Number of altimeters that are correctly calibrated = 6

Number of altimeters that are not correctly calibrated = 2

Total number of altimeters = 6 + 2 = 8

(a) For x = 0: means there are 0 altimeters that are not correctly calibrated.

This means that all three selected altimeters are correctly calibrated.

Total number of ways of selecting 3 altimeters from a total of 8 = $^{8}C_3$

The number of ways of selecting 3 altimeters from a total of 6 altimeters that are correctly calibrated = $^{6}C_3$

So, the required probability = $\frac{^{6}C_3}{^{8}C_3}$

= $\frac{20}{56}$ = 0.35

(b) For x = 1: means there is 1 altimeter that is not correctly calibrated.

This means that from three selected altimeters; 1 is not correctly calibrated and 2 are correctly calibrated.

Total number of ways of selecting 3 altimeters from a total of 8 = $^{8}C_3$

The number of ways of selecting 2 correctly calibrated altimeters from a total of 6 altimeters that are correctly calibrated = $^{6}C_2$

The number of ways of selecting 1 not correctly calibrated altimeters from a total of 2 altimeters that are not correctly calibrated = $^{2}C_1$

So, the required probability = $\frac{^{6}C_2 \times ^{2}C_1 }{^{8}C_3}$

= $\frac{30}{56}$ = 0.54

(c) For x = 2: means there is 2 altimeter that is not correctly calibrated.

This means that from three selected altimeters; 2 are not correctly calibrated and 1 is correctly calibrated.

Total number of ways of selecting 3 altimeters from a total of 8 = $^{8}C_3$

The number of ways of selecting 1 correctly calibrated altimeters from a total of 6 altimeters that are correctly calibrated = $^{6}C_1$

The number of ways of selecting 2 not correctly calibrated altimeters from a total of 2 altimeters that are not correctly calibrated = $^{2}C_2$

So, the required probability = $\frac{^{6}C_1 \times ^{2}C_2 }{^{8}C_3}$

= $\frac{6}{56}$ = 0.11

(d) For x = 3: means there is 3 altimeter that is not correctly calibrated.

This case is not possible, so this probability is 0.

6 0

3 years ago

What is the reciprocal of 61

andre [41]

Answer:

1/61

Step-by-step explanation:

reciprocal just means you flip it. since 61 is a whole number. it would be 61/1 but you flip that over and its 1/61.

6 0

3 years ago

Read 2 more answers

Please help me with my last question no wrong answers plsss

Andreas93 [3]

Answer:

(2/5, 9/5)

Step-by-step explanation:

To find the solutions, we are given the value of y in terms of x: y = 2x + 1. We can plug this into the circle equation to get:

(x - 1)^2 + (2x + 1 - 1)^2 = 1

Now, we can expand and simplify:

x^2 - 2x + 1 + (2x)^2 = 1

x^2 - 2x + 1 + 4x^2 = 1

5x^2 - 2x = 0

Now, we can factor:

x(5x - 2) = 0

And, using the zero product property, we get two equations which we can solve:

x = 0

5x - 2 = 0

5x = 2

x = 2/5

Since x is 0 in the first solution, we use the other solution and plug it into the equation y = 2x + 1 to find y:

y = 2(2/5) + 1

y = 4/5 + 1

y = 9/5

This means the coordinates of the point is (2/5, 9/5)

4 0

3 years ago

Read 2 more answers

Find the area of the figure.

Viktor [21]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers