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Rufina [12.5K]
3 years ago
13

Find three numbers such that their sum is 12, the sum of the first, twice the second, and three times the third is 31, and the s

um of the third and nine times the second is 1
Mathematics
2 answers:
Tpy6a [65]3 years ago
8 0

Answer:

a = 3, b = -1, c = 10

Step-by-step explanation:

Let the three numbers be a, b and c.

Equation 1: a + b + c = 12

Equation 2: a + 2b + 3c = 31

Equation 3: 9b + c = 1

Equation 2 - Equation 1:

Equation 4: b + 2c = 19

Equation 3 times by the number 2

Equation 5: 18b + 2c = 2

Equation 5 - Equation 4

17b = -17

b = -1

Substitute into Equation 4:

2c - 1 = 19

2c = 20

c = 10

Substitute into Equation 1:

a + b + c = 12

a - 1 + 10 = 12

a = 3

KatRina [158]3 years ago
3 0

Answer:

3,-1,10

Step-by-step explanation:

let the numbers be x,y,z.

x+y+z=12

x+2y+3z=31

z+9y=1

z=1-9y

subtract 1st from 2nd

y+2z=19

y+2(1-9y)=19

y+2-18y=19

-17 y=17

y=-1

z=1-9(-1)=1+9=10

x-1+10=12

x=12+1-10=3

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Step-by-step explanation:

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3 years ago
Hey can you please help me posted picture of question
mote1985 [20]
Two events are occurring:

1) Rolling a die
Sample Space = {1,2,3,4,5,6}
Total number of outcomes in sample space = 6
Favorable outcomes = Odd number
Number of Favorable outcomes = 3

Probability of getting an odd number = 3/6 

2) Tossing a coin
Sample Space = {H, T}
Probability of getting a head= 1/2

The probability of getting odd number and head will be the product of two probabilities, which will be = 3/6 x 1/2 = 3/12 

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4 0
3 years ago
Read 2 more answers
Seven cakes cost £2.10 how much do 10 cakes cost
Len [333]
Ten cakes costs $2.19 (pounds, but I don't have a pounds symbol on my computer) because if you divide $2.10 by seven you get $0.3, and if you add 3×0.3 (because we have seven, and we need to add three more to get ten) we get $0.9.
 
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7 0
3 years ago
If x and ​(19x+30​) are the measures of complementary​ angles, what is the measure of each​ angle?
Alisiya [41]

Answer:

3° and 87°

Step-by-step explanation:

<em>here's</em><em> your</em><em> </em><em>solution</em>

<em> </em><em>=</em><em>></em><em> </em> we know that measure of complementary angle is 90°

=>. one angle is. = x

=> other angle is .= (19x + 30)

=> so, x + 19x + 30° = 90°

=> 20x + 30° = 90°

=> 20x = 60°

=> x = 60/20

=> x = 3°

hence one angle is 3° and other is 87°

hope it helps

7 0
3 years ago
The admission prices for a small fair are $1.50 for children and $4.00 for adults. In one day there was $5050 collected. If we k
aliina [53]

Answer: 475 adults paid admission

Step-by-step explanation:

1.50c+4a=5050 (1.50 per child and 4 per adult)

1.50(2100)+4c=5050 (2100 children times 1.5 each)

3130+4a=5050

4a=1900

a=475

3 0
3 years ago
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