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galina1969 [7]
2 years ago
4

What is the fewest number of consecutive primes, starting with 2, that when summed produce a number divisible by 7?

Mathematics
1 answer:
inysia [295]2 years ago
3 0

Answer:

5

Step-by-step explanation:

The consecutive primes starting from 2 are

2, 3, 5, 7, 11

Summing gives 2 + 3 + 5 + 7 + 11 = 28

and 28 is divisible by 7

Thus the required number of primes is 5

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If SYSTEM is coded as '131625', and KARMA is coded as '94854' then MARKET is coded as _____? (A) 845926 (B) 548926 (C) 629845 (D
MArishka [77]

Answer:

B. 548926

Step-by-step explanation:

Given

SYSTEM => '131625', and KARMA => '94854'

Required

MARKET is coded as?

To solve this, we simply map out each letter to the given characters;

This is done as follows:

S-> 1

Y-> 3

S-> 1

T-> 6

E -> 2

M-> 5

K-> 9

A-> 4

R-> 8

M-> 5

A -> 4

Remove repetitions

S-> 1

Y-> 3

T-> 6

E -> 2

M-> 5

K-> 9

R-> 8

A -> 4

Now, we can code MARKET using the same system

M-> 5

A -> 4

R-> 8

K-> 9

E -> 2

T-> 6

MARKET => 548926

5 0
2 years ago
Ernie earned $121.50 more than Kaylin. Tria earned $35 less than 3 times the amount Kaylin earned. Ernie, Tria, and Kaylin earne
Dvinal [7]
X - Ernie, y - Kaylin, z - Tria
x = y + 121.50
z = 3y - 35
x + y + z = 579
-------------------------
z = 3 y - 35      =>   - 3 y + z = -35
y + 121.50 + y + z = 579
---------------------------------
- 3 y + z = - 35        / · ( -1 )
 2 y + z = 457.50     (we will use the elimination method) 
---------------------------------
3 y - z = 35
2 y + z = 457.50
----------------------
5 y = 492.5,            y = 492.5 : 5 = 98.5
z = 3 · 98.5 - 35
z = 260.5
Tria earned $260.5 
8 0
2 years ago
Read 2 more answers
Worth 10 POINTS<br><br> can someone help me answer this question! Thank you.
tiny-mole [99]

Answer:

y=2x^2-8x+10

Step-by-step explanation:

y=2x^2-8x+10

vertex (2,2)

y=a(x-h)^2+k

y=2(x-2)^2+10

5 0
2 years ago
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an
galben [10]

Answer:

y=32000(1+0.08)^x

Step-by-step explanation:

Exponential growth function is y=a(1+r)^x

Where 'a' is the initial population

r is the rate of growth and x is the time period in years

a steady population of 32,000. So initial population is 32,000

an increase of 8% per year. the rate of increase is 8% that is 0.08

a= 32000 and r= 0.08

Plug in all the values in the general equation

y=a(1+r)^x

y=32000(1+0.08)^x

y=32000(1+0.08)^x

4 0
2 years ago
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A gas engine is 6% efficient. What portion of a 12 gallon tank of gas is wasted?
Softa [21]

Answer:19.74 gallons of the gas in the tank is wasted.

Step-by-step explanation:

Since the efficiency of the gas engine is 6%, wastage is #= 100 - 6 = 94%.

Therefore wastage = 94% x 21=94 x21/100=19.74 gallons

5 0
2 years ago
Read 2 more answers
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