Answer:
$108
Step-by-step explanation:
From the above question, we have the proportion:
Company A/Company B
= $9/$2 = x/x24
The next step is : We Cross Multiply
2x = $24 × $9
x = $24 × $9/2
x = $108
Therefore, she will invest in $108 company A if she invests $24 in company B.
Answer:
Step-by-step explanation:
The equations that she wrote are
6x+8y=133
2x=y
The following statements about the system are true
1.Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133
5. The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
The following statements are wrong because,
2. Because there was no relationship between the number of pipes sold and the size of each pipe.
3. x=2y shows that there are more 8 inches pipes
4. 6 and 8 are just size descriptions. It is only the cost of each size of pipe that related to the total cost
the anwser would most likely be 3 because you want the LCM
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
