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Inessa [10]
3 years ago
13

A first number plus twice a second number is 14. twice the first number plus the second totals 31. find the numbers.

Mathematics
1 answer:
topjm [15]3 years ago
4 0
------------------------------------------------------------
Define the two numbers
-----------------------------------------------------------
Let the first number be x.
Let the second number be y.

------------------------------------------------------------
Form equations and solve x and y
------------------------------------------------------------
x + 2y = 14 ------------------ (1)
2x + y = 31 ------------------ (2)

------------------------------------------------------------
Equation (1) x 2
------------------------------------------------------------
2x + 4y = 28  ---------------(1a)

------------------------------------------------------------
Equation (1a) - 2
------------------------------------------------------------
3y = 28 - 31
3y = -3
y = -1

------------------------------------------------------------
Substitute y = -1 into (1)
------------------------------------------------------------
x + 2(-1) = 14
x -2 = 14
x = 14 + 2
x = 16

------------------------------------------------------------
Answer: x =16, y = -1
------------------------------------------------------------

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Answer:

Step-by-step explanation:

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8 0
2 years ago
What is the solution to the inequality –2.1x + 2.9 > 15.5?
Alexandra [31]
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5 0
2 years ago
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10. Select all that are true for the graph that represents
Likurg_2 [28]

Answer:

A, C and F

Step-by-step explanation:

The given function is

f(x)=5(3)^x

It is an exponential function of the form

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On comparing both the functions, we get

a=5,b=3

It means the initial value is 5 and growth factor is 3.

Since both values are positive it means the given functions is an exponential growth function, therefore,

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Hence, the correct options are A, C and F.

8 0
3 years ago
Please help <br> I will mark brainlist
Naya [18.7K]

Answer:

B x = sqrt(48)

Step-by-step explanation:

Half of the bottom side measures 4.

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16 + x^2 = 64

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x = sqrt(48)

Answer: B x = sqrt(48)

4 0
3 years ago
1. Jill had the following scores on quizzes. 1 quiz: 1 3 quizzes: 2 4 quizzes: 3
Irina-Kira [14]
The mean score is 3.08.

There is 1 quiz with score 1, so 1 point; 3 quizzes with score 2 for 3*2 = 6 points; 4 quizzes with score 3 for 4*3 = 12 points; 4 quizzes with score 4 for 4*4 = 16 points; and 1 quiz with score 5 for 5 points.

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This is out of 1+3+4+4+1 = 13 quizzes.

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7 0
3 years ago
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