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2 years ago

What is the solution to this system of equations y=3x-4 4y=12x-4 a no solution b (0,4) C Infinite solutions

Mathematics

1 answer:

nika2105 [10]2 years ago

4 0

Answer:

Step-by-step explanation:

y = 3x - 4

4y = 12x - 4

divide the bottom equation by 4

y = 3x - 4

y = 3x - 1

y = -3

3x - 1 = -3

3x = -2

x = -2/3

(-2/3, -3) is the answer. by this logic, there is a splution so can't be a, the answer is not (0, 4) so not b so it must be c

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Holly spends 7 3/5 hours in school each day. Her lunch is 1/2 hour long, and she spends 7/10 of a hour switching classes. The re

Ira Lisetskai [31]

<span>
y = 7 + 3/5
y = 35/5 + 3/5
y = 38/5
y = 2*(38/5)
y = 76/10
---
lunch time:
z = 1/2
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15

x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666

answer:
1.07 hours</span>

5 0

3 years ago

In the spinner below, what is true about the probability of landing on 3 and the probability of landing on 4?

Karo-lina-s [1.5K]

Answer:

C.The probabilities are equal.

The above statement is the only TRUE statement.

Step-by-step explanation:

Here, the given number of total possibilities are { 0,1,2,3,4,5,6,7,8,9}

So, number of total outcomes = 10

Let E : Event of spinner landing on 3

and E' : Even of spinner landing on 4

{Probability of Event E} = $\frac{\textrm{Total number of favorable outcomes}}{\textrm{Toatl outcomes}}$

$\implies P(E) = \frac{1}{10}$

⇒ P( landing on 3 ) = 1/10

and $P(E') = \frac{1}{10}$

P( landing on 4 ) = 1/10

Now, the given statements are

A.The probability of landing on 3 is less than probability of landing on 4.

FALSE, as both the probabilities are equal to 1/10.

B.The probability of landing on 3 is greater than probability of landing on 4.

FALSE, as both have same probabilities.

C.The probabilities are equal.

TRUE, both have same probability = 1/10

D.The probabilities cannot be predicted

FALSE, the probability are predictable.

3 0

3 years ago

Read 2 more answers

ustin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he

Tema [17]

Answer:

I would say that it should be 48 ft long and 46 ft wide, the area would be 2208 square feet

Step-by-step explanation:

I will try my best to answer this.

I would start by dividing 188 by 4

this gives you a 47*47 square

if it needs to be a rectangle I would then make the sides 48, 48, 46, and 46

48*46 would be the dimensions

the area would be 2208 square feet

5 0

3 years ago

15 - 4x = -9x + 75

algol13

Answer:

x=12

Step-by-step explanation:

8 0

2 years ago

You spin a spinner numbered 1 to 9, and roll a dice numbered 1 to 6. What is the probability of the compound event "getting an e

inna [77]

Answer:

2/27

Step-by-step explanation:

Probability to get an even number on a spinner is 4/9.

Probability of getting a 5 on a die is 1/6.

4/9*1/6=4/54=2/27

3 0

3 years ago