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4 years ago

Commom difference of an AP -4 , -4 , -4 ,............is...

Mathematics

1 answer:

svetlana [45]4 years ago

6 0

Answer:

Step-by-step explanation:

Common Difference = Difference between any two consecutive terms

= - 4 - (-4)

= - 4 + 4

= 0

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Barbara charges $3.50, plus $2.25 for each hour she babysits. If Barbara charges $21.50, how many hours does she babysit?

MAVERICK [17]

Answer:

8 hours

Step-by-step explanation:

The equation is 2.25X + 3.50 = 21.50

X represents the unknown amount of hours she worked. 2.25 is the cost per hour. 3.50 is the fee she charges for every gig. That fee only happens once a gig so naturally it wasn't the number x was placed with.

2.25X + 3.50 = 21.50

2.25X + 3.50 - 3.50 = 21.50 - 3.50

2.25X = 18

2.25X = 18

2.25 2.25

X = 8

8 0

3 years ago

If one of the angle is 60 degree and the other two are in the ratio 1:2, find the angles.

ololo11 [35]

Answer:

Let the two angles be x and 2x

Sum of angles of triangle=180°

60+x+2x=180

3x=180-60

x=120/3

x=40

2x=80

Step-by-step explanation:

40 and 80 are other two angles

3 0

3 years ago

An army contingent of 104 members is to march behind an army band of 96 members in a parade.

Trava [24]

You can dispose a number $x$ of elements in a matrix-like formation with $n\times m$ shape if and only if $n$ and $m$ both divide $x$ , and also $nm=x$ .

So, we need to find the greatest common divisor between $104$ and $96$ , so that we can use that divisor as the number of columns, and then.

To do so, we need to find the prime factorization of the two numbers:

$104 = 2^3\times 13$

$96 = 2^5 \times 3$

So, the two numbers share only one prime in their factorization, namely $2$ , but we can't take "too many" of them: $104$ has "three two's" inside, while $96$ has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include $3$ nor $13$ , because it's not a shared prime.