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Aleksandr [31]
4 years ago
12

What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)?

Mathematics
1 answer:
Kisachek [45]4 years ago
3 0
So firstly, you'll want to multiply 1/2 and (n-4) and also reverse the signs in (2n+3), and your equation will look like this: \frac{1}{2} n-2-3=3-2n-3

Next, you'll want to combine like terms, and your equation will look like this: \frac{1}{2} n-5=2n

Next, subtract 1/2n on each side. Your equation will look like this: -5=1 \frac{1}{2} n

Lastly, you'll divide 1.5 on each side, and your answer should be -3 \frac{1}{3} =n
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Alex and Bryan are giving an exam. The probability Alex gets an A is 0.9, the probability Bryan gets an A is 0.8 and the probabi
VARVARA [1.3K]

Answer:

The probability that either Alex or Bryan get an A is 0.9

Step-by-step explanation:

Before we proceed to answer, we shall be making some important notation;

Let A = event of Alex getting an A

Let B = event of Bryan getting an A

From the question, P(A) = 0.9, P(B) = 0.8 and P(A ∩ B^{c} ) = 0.1

We are to calculate the probability that either Alex or Bryan get an A which can be represented as P(A ∪ B)

We can use the addition theorem here;

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)  .......................(i)

Also,

P(A) = P(A ∩ B^{c} )  +   P(A ∩ B)   .........................(ii)

We can insert ii into i and we have;

P(A ∪ B) =  P(A ∩ B^{c} )  +   P(A ∩ B)  + P(B) - P(A ∩ B) =   P(A ∩ B^{c} ) + P(B) = 0.1 + 0.8 = 0.9

5 0
3 years ago
In this figure, m∠3 = (2x + 15)° and m∠6 = (3x + 10)°. What value of x makes a∥b? Enter your answer in the box.
Dvinal [7]
For First Question:
As, we find the value  of x for parallel condition of line a and b
so, m∠3 = m∠1 and m∠2 = 180°-m∠1 = 180°-(2x+15)° [ As straight line contain total 180°]
Now,
m∠2 = <span>m∠6 [ Because they are corresponding angles]
180</span>-(2x+15)=(3x+10)
180=3x+10+2x+15
x= 31 satisfies the condition of a||b

For second Question:
As, it is issoceles triangle So side AC = side BC So, m∠A=<span>m∠B
</span>4x+5=5x-1
x=6
So,
m∠A=29° and triangle contain total 180° 
<span>m∠C=180-29-29
</span>       =122°
Option D is correct

8 0
4 years ago
Simplify 4cd + 6d + 9c - 4cd​
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5 0
3 years ago
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Three odd numbers that add up to 30​
Jlenok [28]

Answer:

11.5+5.5+13

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help please this is khan academy
IRISSAK [1]

Answer:

9800 cm^2

Step-by-step explanation:

The area of a square is just the length of one of the sides squared. In the first image it's given that one of the sides is 70 cm and the shape is also a square pyramid so the base is going to be a square. So the area the base is (70 cm) ^ 2 = 4,900 cm^2. The area of a triangle is 1/2 bh. The base is given in the first image which is 70 cm and the height is also given which is 140 cm. This gives you the equation 0.5 * 140 cm * 70 cm = 4900 cm^2. Adding these two values gives you 9800 cm^2

6 0
2 years ago
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