Answer:
Larry would be wrong if 2(as a prime number) is part of the numbers that has 2 at its ones place, but if 2 is not there, then he is correct.
Step-by-step explanation:
Firstly, we need to know what a composite number is. In simple terms, a composite number is a number that is not a prime number. Meaning that, if a number has more than two factors (1 and itself which is the definition for a prime number), then the number is a composite number.
Larry says all numbers that have 2 in their ones place are composite. It depends, if 2 is the only number that makes up the digit, that is the number itself is 2, then it's obviously a prime number. But any other number having 2 at its ones place is definitely a composite number because the number has more than 2 factors; 1, itself and 2. Example:
12, some of the factors is 1, 12 and 2. Therefore it is a composite number.
Larry would be wrong if 2(as a prime number) is part of the numbers that has 2 at its ones place, but if 2 is not there, then he is correct.
Answer:
use Pythagoras theorem
the missing side is base
Step-by-step explanation:
pythagoras theorem
h^2 = p^2 + b^2
73^2 = 48^2 + b^2
5329 = 2304 + b^2
5329 - 2304 = b^2
3025 = b^2
√3025 = b
55 = b
Ax^2 + bx + c is a quadratic trinomial. Therefore, ur expression is a quadratic trinomial......it is a trinomial because it has 3 terms.....quadratic means the highest exponent is 2.
Answer:
Step-by-step explanation:
A) The constant of proportionality in terms of minutes per bracelet is
15/3 = 5 minutes per bracelet
B) The constant of proportionality represents man hour rate
C) let k = constant of proportionality, t = time in minutes and b = number of bracelets produced. Therefore,
t = kb
D) the constant of proportionality in terms of number of bracelets per minute is
3/15 = 1/5
E) The constant of proportionality represents production rate
F) let k = constant of proportionality, t = time in minutes and b = number of bracelets produced. Therefore,
b = kt
G) The constants of proportionality are reciprocals
H) Two equations are equivalent if they have the same solution. They are not equivalent. By inputting the different values of k, the solutions will always be the same. Therefore, they are equivalent.
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900
Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%
method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
