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Tju [1.3M]
3 years ago
8

The numbers on two consecutively numbered gym lockers have a sum of 143. What are the locker numbers

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
8 0
A + a + 1 = 143

2a + 1 = 143

2a = 142

a = 71

b = 71 + 1

b = 72

check;

71 + 72 = 143

143 = 143

so your answer is 71 and 72. hope this helps, God bless! 
Romashka [77]3 years ago
8 0
143 divided by 2 = 71.5
71.5 - .5 = 71
.5 + .5 = 1
71 + 1 = 72
So the answer is 71 and 72
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The polar form of this is?
prohojiy [21]

Answer:

2, 120 degrees

Step-by-step explanation:

The first step in finding the polar form is finding the modulus, r

r= sqrt( x^2 + y^2)

r = sqrt( (-1)^2 + sqrt(3)^2)

r = sqrt(1+3)

r= sqrt(4)

r =2


The next step is finding the angle

theta = arctan (y/x)

theta = arctan (sqrt(3)/-1))

theta = arctan (-sqrt(3))

theta = -60


The point (-1, sqrt(3)) is in the 2nd quadrant, but our angle is in the 4th quadrant, so we add 180 degrees

theta = -60 + 180 = 120

theta = 120 degrees

6 0
3 years ago
A class of 30 students took midterm science exams. 20 students passed the chemistry exam, 14 students passed physics, and 6 stud
sergejj [24]

Answer:

Step-by-step explanation:

Given :

Total students = 30

Students passed chemistry exam = 20

Students passed physics exam = 14

Students passed both exams = 6

To find: Venn diagram

Solution:

Total students = 30 i.e. U = 30

Students passed chemistry exam = 20

Students passed physics exam = 14

Students passed both exams = 6

Students passed only chemistry = 20-6 =14

Students passed only Physics = 14-6=6

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4 0
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Assuming that the 4.8% interest rate is an annual interest rate, then, after one year, with a principal of $3,000 we would be able to win 4.8% of $3000:

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\frac{144}{12}=12

Therefore, with a principal of $3,000 we would be earning $12 interest in 1 month.

For the earnings on the first month to be equal to $10, then you would have to win $120 annually, and $120 must be 4.8% of the principal. To find which quantity satisfies that 4.8% of it is equal to $120, divide 120 over 4.8%:

\frac{120}{4.8\text{ \%}}=\frac{120}{(4.8/100)}=\frac{100}{4.8}\times120=2500

Therefore, the principal must be equal to $2500 for you to win $10 on the first month, and it would indeed be correct to say that if you open an account with $3000 you will earn at least $10 interest in 1 month.

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