Answer:
1. x = 7
Step-by-step explanation:
12x + 16 = 100
12x = 84
x = 7
Answer:
E1. 1/x^5
E2. not totally sure how to use positive exponents here
E3. x^4/y^2
E4. x^2/2
Step-by-step explanation:
remember if there is a negative exponent in the numerator, moving it to the denominator makes it positive. vice versa for the denominator to numerator
Answer:
x = -7 and y = 5
Step-by-step explanation:
y = 3x + 19 equation(i)
y = 5x + 33
substitute the value of y
3x + 19 = 5x + 33
3x - 5x = 33 - 19
-2x = 14
x = 14/-2
x = -7
now substitute the value of x in equation (i)
y = 3x + 19
y = 3*-7 + 19
y = -14 + 19
y = 5
The answer is 21/34.
There are in total 34 children: 20 girls + 14 boys = 34 children
There are in total 11 seniors: 7 senior girls + 4 senior boys = 11 senior children
When we have two events that do not occur together, so only one of the events can happen (<span>there is OR in a sentence), then we use the addition rule and add up probabilities of the events. We have two events not occurring together:
</span>1. The probability of selecting a boy is 14/34 (because there are 14 boys among 34 children).
2. The probability of selecting a senior is 11/34 (because there are 11 seniors among 34 children).
Now, we just need to add them up. However, we have already counted 4 senior boys in the probability of the first event and thus, must subtract the probability of selecting a senior boys (4/34):
14/34 + 11/34 - 4/34 = (14+11-4)/34 = 21/34
Answer:
x= -6
Step-by-step explanation:
Isolate the variable by subtracting 4 from both sides
5x - 14 = 8x + 4 -4
5x - 18 = 8x -5x
-18 = 3x /3
-6 = x