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Nastasia [14]
3 years ago
8

If a, b, and c are prime numbers, do (a + b.and c have a common factor that is greater than 1 ?

Mathematics
1 answer:
valina [46]3 years ago
8 0

Let's do the math. In the example a =2, b = 3, c = 5. If we are trying to see if the sum of these numbers has a common factor more than 1 do the math. 2 + 3 + 5 = 10. Ten has four factors which are 1, 2, 5, and 10. So the answer to your question is yes.

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Whats the answer to: 3x + 5y = 2 9x + 11y = 14
valkas [14]

\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}

{

3x+5y=2

9x+11y=14

∣⋅(−3)

−9x−15y=−6

9x+11y=14

add both sides of equations

. −4y=8 ∣:(=4)

. y=−2

substitute the value of y to the first equation

3x+5⋅(−2)=2

3x−10=2 ∣+10

3x=12 ∣:3

x=4

Answer: x=4; y=−2→(4; −2)

5 0
3 years ago
Walking100
vredina [299]

Complete question :

The Venn diagram relating to the question can be found in the picture attached below :

Answer:

A.) 15 ; b.) 17 ; c.) 20 ; d.) 19 ; e.) 55 ; 67; 76 ;100 ; F.) 369

Step-by-step explanation:

Let :

Cars = C ; Motorcycle = M ; Tricycle = T ; Walking = W

a) How many students ride in a tricycle, motorcycle and car going to their school

Intersection of the 3 modes;

(C n M n T) = 15 ; it is the number which sits in between all the three circles.

B.) How many students ride in both a motorcycle and a tricycle?

(M n T) = 17 ; number in the middle of both circles representing motorcycle and tricycle

C.) How many students ride in both a motorcycle and a car?

(M n C) = 20 ; number in the middle of both circles representing motorcycle and Car

D) How many students ride in both a car and tricycle?

(C n T) = 19 ; number in the middle of both circles representing Car and tricycle

e.)How many students go to school

in a car only = 55

in a motorcycle only = 67

Tricycle only = 76

Walking = 100

F.) How many Grade Seven students of Koronadal National Comprehensive High School are there in all?​

(100 + 67 + 76 + 55 + 19 + 20 + 17 + 15) = 369

5 0
3 years ago
Please help!!!
marusya05 [52]

Answer:

the answer is B.FALSE

Step-by-step explanation:

hope it helps

5 0
2 years ago
-3.25 (5 continues forever) ○ -3.2 (2 continues forever) Greater than or less than​
vazorg [7]

Answer:

Less than.    <

Step-by-step explanation:

8 0
2 years ago
Which of the following lists the angles from smallest to largest?
ioda

Here is your answer

The angle opposite of the larger side is greater and vice versa.

Here

smallest side= AC (8cm)< BC (9cm) <AB (10cm)

So,

angles opposite to these sides are

B <A <C

HOPE IT IS USEFUL

5 0
3 years ago
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