X + y = 12 and y = x - 1. Find the value of 2x + 2y.

Mathematics

2 answers:

Mademuasel [1]3 years ago

5 0

Answer: 2x + 2y = 24

Explanation:

x + y = 12

2(x + y = 12)
2x + 2y = 24

So therefore, 2x + 2y = 24

Leni [432]3 years ago

3 0

Answer:

2x + 2y = 24

Step-by-step explanation:

You have to isolate y and then use substitution.

x + y = 12 and y = x - 1

-x -x

y = -x + 12 and y = x - 1

-x + 12 = x - 1

+x +x

--------------------

12 = 2x - 1

+1 +1

----------------

13 = 2x

2x = 13 [ divide both sides by 2]

x = 6.5

Now, you have to plug x (6.5) into y = x - 1.

y = x - 1

y = 6.5 - 1

y = 5.5

Finally, plug both x (6.5) and y (5.5) into 2x + 2y.

2x + 2y

= 2 (6.5) + 2 (5.5)

= 13 + 11

= 24

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Food allergies affect an estimated 7% of children under age 5 in the US. What is the probability that in a kindergarden class of

bezimeni [28]

Answer:

Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)

Step-by-step explanation:

Given: Probability of a children under age 5 has food allergies = 7%

= $\frac{7}{100}$

To find : Probability of atleast one of 12 student has food allergies

Probability of a chindren under age 5 does not have food allergies = $1-\frac{7}{100}$

⇒ prob = $\frac{93}{100}$

now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.

But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)

Probability of 0 student having allergy out of 12 student = $(\frac{93}{100})^{12}$