The larger of two numbers is 7 more than 5 times the other. Their sum is 55. Find the two numbers.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

8 and 47

Answer 2
Answer:

Final answer:

The question involves finding unknowns from a system of linear equations. By assigning 'x' as the smaller number and 'y' as the larger number, we establish two equations based on the provided information. Solving these equations, we find the smaller number to be 8 and the larger number to be 47.

Explanation:

This question involves the system of linear equations in Mathematics. To find the two numbers, establish two equations based on the information given. Let's denote the smaller number as 'x' and the larger one as 'y'.


1. The larger of two numbers is 7 more than 5 times the other, which translates into the equation: y = 5x + 7.


2. Their sum is 55, which gives us the second equation: x + y = 55.


Substitute the first equation into the second, we get: x + 5x + 7 = 55.Simplifying it gives us 6x + 7 = 55, further simplifying leads to 6x = 48, thus x = 8. Substituting x = 8 into y = 5x + 7, we get y = 47. So, the smaller number is 8 and the larger number is 47.

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Which of these is the algebraic expression for the verbal expression "ten times the difference of a number and twelve?"10(x − 12)
x − 12 ⋅ 10
12(x − 10)
10 ⋅ x − 12

Answers

Hello,

Answer A

10*(x-12)
first x-12 (parenthesis) : difference of some number and 12
second 10* the result before==> the product of 10 by the diffrence of x and 12.


Answer:

Step-by-step explanation:

10(x − 12)

x − 12 ⋅ 10

12(x − 10)

10 ⋅ x − 12

What is 8/5+ (-1/3)​

Answers

Answer:

19/15

Step-by-step explanation:

19/15 is the answer

Given: 5 > x + 7. Choose the solution set.

{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}

Answers

Answer:

{x | x R, x < -2}

Step-by-step explanation:

Answer:

x is less than negative 2

Step-by-step explanation:

Using the properties of addition, we move the 7 over to the five, making it negative.

This makes negative 2 because we subtract 7 from 5.

Then, we can flip the equation to understand it better, making the x in the front.

This makes the final solution x is less than -2

If f(x) = 3x + 2 and g(x) = x^2 - x, find the value of g(-6).

Answers

Answer:

g(x)=(-6)2-(-6)=42

by substitute -6 in g(x) we get 42

Solve the system algebraically. Check your work. 4x + 2y = 10 3x + 2y = 6
Make sure there are NO SPACES in your answer. Be sure to include a comma.

Answers

no spaces? like t h i s? or    like    thiiiss???  is      this  bugging    you      ????


anyway
use elimination
multiply secn equation by -1
-3x-2y=-6

add to other equation
-3x-2y=-6
4x+2y=10 +
1x+0y=4

x=4
sub back to solve for y

3x+2y=6
3(4)+2y=6
12+2y=6
minus 12 both sides
2y=-6
divide 2
y=-3

(4,-3)

If BC is parallel to DE, then all of the following are equivelient to each other acceptA) AD/AB
B) DE/BC
C) CE/AC
D) AE/AC

Answers

Answer:

The answer is C, I just got it right on a quiz. Good luck!

Step-by-step explanation: