Solve for y: 4x + 5y = 12

Mathematics

1 answer:

Kryger [21]2 years ago

3 0

Answer:

y = (12 - 4x)/5

Step-by-step explanation:

5y = 12 - 4x

y = 12/5 - 4x/5

y = (12 - 4x)/5

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Please help :)

dangina [55]

Answer: b. 51 - 3

Step-by-step explanation:

Given, Easha has 3 less than 5 times the number of quarters (I) that Isabelle has.

Here I is the number of quarters that Isabelle has.

Then, as per given,

Number of quarters Easha has = 5 ( number of quarters that Isabelle has) -3

= 5I-3

Hence, the expression shows the number of quarters Easha has is "5I-3"

So the correct option is b.

7 0

3 years ago

From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha

Ede4ka [16]

Answer:

D. 2/7

Step-by-step explanation:

The probability is calculate as a division between the number of ways in which Andrew will be selected and karen will not and the total ways in which they can select 4 people from a group of 8 volunteers.

The number of ways in which they can select 4 people from a group of 8 volunteers can be calculated using:

$nCk=\frac{n!}{k!(n-k)!}$

Where nCk give as the number of ways in which we can form groups of k elements from a group of n elements.

So, if we replace n by 8 and k by 4, we get:

$8C4=\frac{8!}{4!(8-4)!}=70$

Then, there are 70 ways to select 4 people from a group of 8 volunteers.

At the same way, the number of ways in which Andrew will be selected and karen will not can be calculate replacing n by 6 and k by 3 in the same equation as:

$6C3=\frac{6!}{3!(6-3)!}=20$

We replace n by 6 because from the 8 volunteers, Andrew is going to be selected and Karen will not, so, the people that affect the result are just the 6 remaining volunteers. Also, k is equal to 3 because Andrew is already selected and we just need to select 3 more people.

Finally, the probability is:

$P=\frac{20}{70} = \frac{2}{7}$