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Furkat [3]
3 years ago
7

Write an equation to find the number. Solve. Twenty-four less than 4 times a number is equal to 30 more than -2 times the number

.
Mathematics
2 answers:
vova2212 [387]3 years ago
6 0
Let's call the number x
4x - 24 = -2x + 30
+ 2x
6x - 24 = 30
+ 24
6x = 54
÷ 6
x = 9

So x is 9, and the equation is 4x - 24 = -2x + 30, I hope this helps!
Amanda [17]3 years ago
5 0
4x - 24 = -2x + 30

4x + 2x = 30 + 24
6x = 54
x = 9

answer: the number is 9

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Translate then Solve for the variable:
Sergeu [11.5K]

The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Translate then Solve for the variable:

The sum of two times a number and 10 is five times the difference between a number and six.

Let the number be x.

Then the equation will be

2x + 10 = 5(x - 6)

Then the value of x will be

2x + 10 = 5x - 60

5x - 2x = 60 + 10

      3x = 70

        x = 23.33

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

8 0
2 years ago
Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 8x+4 intersect are the solutions o
Luda [366]
Part 1)
We have two lines:  y = 2-x   and   y = 8x+4
Given two simultaneous equations that are both required to be true.
the solution is the points where the lines cross
Which is where the two equations are equal
Thus the solution that works for both equations is when
2-x = 8x+4
because
where that is true is where the two lines will cross and that is the common point that satisfies both equations.

Part 2) Make tables to find the solution to 2−x = 8x+4. take the integer values of x between −3 and 3

see the attached table
The table shows that none of the integers from [-3,3] work because in no case does
<span>2-x = 8x+4
</span>
To find the solution we need to rearrange the equation to the form x=n
2-x =8x+4
8x+x=2-4
9x=-2
x=-2/9

 The only point that satisfies both equations is
where
 x = -2/9
Find y:
   y = 2-x  = 2 - (-2/9) = 2 + 2/9 = 20/9
Verify we get the same in the other equation
y = 8x+4   =  8(-2/9) + 4 = 20/9 
Thus the only actual solution, being the point where the lines cross,
 is the point (-2/9, 20/9)------> (-0.22,2.22)

Part 3) how can you solve the equation 2−x = 8x+4 graphically?
<span>The point on the graph where the lines cross is the solution to the system of equations
</span>
using a graph tool
see the attached figure

the solution is the point (-0.22,2.22)

4 0
3 years ago
What fractional part of the day do you spend sleeping if you sleep 8 hours?
fomenos

You sleep 1/3 of the day.

5 0
2 years ago
Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. Ralph's
IgorLugansk [536]
Let
R = Ralph's age
S = Sara's age

First statement is translated as:
S = 3R

Second statement is translated as:
S + 4 = 2(R + 4)

Use the first equation to be substituted into the second one in terms of R which is the one we are actually going to solve for Ralph's age.
Since S = 3R, then
3R + 4 = 2(R + 4)
3R + 4 = 2R + 8
3R - 2R = 8 - 4
R = 4 years old
7 0
2 years ago
Read 2 more answers
Can someone help me !
castortr0y [4]

Answer:

4 x 4 is 12

3 x 2 is 6

12 plus 6 is 18

Answer is 18

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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