Step-by-step explanation:
Let's solve your equation step-by-step.
2(x+2)−3(x−3)=x+7
Step 1: Simplify both sides of the equation.
2(x+2)−3(x−3)=x+7
(2)(x)+(2)(2)+(−3)(x)+(−3)(−3)=x+7(Distribute)
2x+4+−3x+9=x+7
(2x+−3x)+(4+9)=x+7(Combine Like Terms)
−x+13=x+7
−x+13=x+7
Step 2: Subtract x from both sides.
−x+13−x=x+7−x
−2x+13=7
Step 3: Subtract 13 from both sides.
−2x+13−13=7−13
−2x=−6
Step 4: Divide both sides by -2.
−2x
−2
=
−6
−2
x=3
Answer:
x=3
Answer:
71 (or 7.... read explanation)
Step-by-step explanation:
If you mean | -71 | then it's 71.
If you mean | -7 | then it's 7
Absolute values turn negative numbers into positive numbers.
Answer:
total number of parts of a 2:5 ratio are 7 as 2+5 = 7
let us assume are number to be 49
the first part will be 49/7 × 2 = 14
the second part will be 49/7 × 5 = 35
Answer:
6 dm
Step-by-step explanation:
Triangle DBE is similar to triangle ABC, so their side lengths are proportional.
DE/AC = DB/AB
The length of DB can be found from ...
DB +AD = AB
DB = AB -AD = (15 -10) dm = 5 dm
So, we can fill in the proportion:
DE/(18 dm) = (5 dm)/(15 dm)
DE = (18 dm)·(1/3) . . . . . . . . . . simplify, multiply by 18 dm
DE = 6 dm
_____
It can be helpful to draw and label a figure.
The inequality is:
x + $488.04 ≥ $500
And the solution is
x ≥ $11.96
<h3>How to write and solve the inequality?</h3>
First, let's define x as the amount that she needs to deposit.
Now, we know that at the moment Evely has $638.54 in her bank account. Then she pays for $638.54, then she writes a check for $159.50, then we need to subtract that:
$638.54 - $159.50 = $488.04
Now she needs to deposit an amount x, such that her balance is at least $500, then we can write the inequality:
x + $488.04 ≥ $500
Solving that for x, we get:
x ≥ $500 - $488.04 = $11.96
She needs to deposit at least $11.96.
If you want to learn more about inequalities:
brainly.com/question/24372553
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