Hey friend in order to figure that out, we need to solve all of these proportions.
Lets start with A!
What you first want to do is cross multiply so...
10 * 100 = 25 * 40
Simplify
1000 = 25 * 40
1000 = 1000
Add -1000 to both sides
1000 - 1000 = 1000 - 1000
0 = 0. (This proportion is true)
Moving on to B
Same steps!
18 * 50 = 48 * 20
900 = 48 * 20
900 = 960 (This is false therefore B is our answer however we want to check the others as well)
C is...
25 * 135 = 45 * 75
3375 = 45 * 75
3375 = 3375
3375 - 3375 = 3375 - 3375
0 = 0 (True)
D is....
24 * 25 = 30 * 20
600 = 30 * 20
600 = 600
600 - 600 = 600 - 600
0 = 0 (True)
Answer:
<em>m∠EBC = 34° </em>
Step-by-step explanation:
m∠DBC = m∠DBE + m∠ EBC
m∠DBC - m∠DBE = m∠EBC
(12x - 3)° - (5x + 12)° = (3x + 13)°
12x - 5x - 3 - 12 = 3x + 13
4x = 28
x = 7
<em>m∠EBC </em>= (3(7) + 13)° <em>= 34° </em>
T=number of tiles bought
cost at store 1 is 0.79t+24
cost at store 2 is 1.19t
when will be equal cost?
0.79t+24=1.19t
minus 0.79t from both sides
24=0.4t
divide both sides by 0.4
60=t
answer is 60 tiles
Answer:
P(X < 4) = 0.5
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this question, we have that:
Find the probability that the number of correct answers is fewer than 4:
This is
So
P(X < 4) = 0.5
Answer:
(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)
Step-by-step explanation:
Factor all the expressions,
1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)
2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)
3rd expression=2x^2 + x - 21=(x - 3) (2 x + 7)
HCF=Commo factor=(x-3)
LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)
