Solve the following:2(x+3)=x-4
Answers
1. Distribute the 2 on the left side of the equation to both terms inside the parentheses:
2x + 6 = x - 4
2. Now, let's isolate x on one side of the equation. You can do this by subtracting x from both sides:
2x - x + 6 = -4
3. Simplify the left side by combining like terms (2x - x):
x + 6 = -4
4. To isolate x, subtract 6 from both sides of the equation:
x + 6 - 6 = -4 - 6
5. Simplify both sides:
x = -10
So, the solution to the equation is x = -10.
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Answers
The expression (1/2)[x+10] represents the one half of the sum of a number and 10.
What is an expression?
It is defined as the combination of constants and variables with mathematical operators.
We have:
One half of the sum of a number and 10
Let's suppose the number is x:
So from the problem, the one half of the sum of a number and 10 is:
The above expression represents the one half of the sum of a number and 10.
Thus, the expression (1/2)[x+10] represents the one half of the sum of a number and 10.
Learn more about the expression here:
#SPJ2
One half of the sum of a number and 10
n - a number
4x - y = 7
2) 2x - 3y = 12
x = 4y + 1
3) y = 5 - x
x - 4y = 10
Answers
y=2x-5
sub that for y
4x-(2x-5)=7
distribute
4x-2x+5=7
2x+5=7
2x=2
x=1
sub back
y=2x-5
y=2(1)-5
y=2-5
y=-3
(1,-3)
2. x=4y+1
sub that for x
2(4y+1)-3y=12
8y+2-3y=12
5y+2=12
5y=10
y=2
sub back
x=4y+1
x=4(2)+1
x=8+1
x=9
(9,2)
3. y=5-x
sub that for y
x-4(5-x)=10
x-20+4x=10
5x-20=10
5x=30
x=6
sub back
y=5-x
y=5-6
y=-1
(6,-1)
soluitons
1. (1.-3)
2. (9,2)
3. (6,-1)
Answers
Answer:
y = 12
Step-by-step explanation:
We first need to solve for x
(6x - 11)° and (4x + 23)° are vertically opposite angles and are congruent, so
6x - 11 = 4x + 23 ( subtract 4x from both sides )
6x - 4x - 11 = 4x - 4x + 23 ( simplify both sides )
2x - 11 = 23 ( add 11 to both sides )
2x - 11 + 11 = 23 + 11 ( simplify both sides )
2x = 34 ( divide both sides by 2 )
x =
, that is
x = 17
Then
4x + 23 = 4(17) + 23 = 68 + 23 = 91
(9y - 19)° and 91 are a linear pair and sum to 180°
sum the 2 angles and equate to 180
9y - 19 + 91 = 180 ( simplify left side )
9y + 72 = 180 ( subtract 72 from both sides )
9y + 72 - 72 = 180 - 72 ( simplify both sides )
9y = 108 ( divide both sides by 9 )
y =
, that is
y = 12
Answers
Answer:
3 1/6
Step-by-step explanation:
Since it says HOW MANY MORE, you need to subtract.
Answer:
I don't know but maybe 3 in a half
Answers
Answer:
Step-by-step explanation:
$26.25/3 scarves=$8.75/1 scarf
the cost of 1 scarf is $8.75
Answers
1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2
2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2
the nth term is denoted by
the first term is represented by
for arythmetic sequences, the nth tem is
for geometric sequences the nth term is
[tex] a_{n}=a_{1}r^{n-1} where r=ratio betwen consecutive terms