The inequality is
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Step-by-step explanation:
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Answer:
For a sale value greater than $7200 the plan a is profitable.
Step-by-step explanation:
Let us assume for a sale of $x, Chris will choose plan a.
Now, in plan a, a commission of 8% of sales and $370 per month, is the salary.
So, for a sale of $x the salary is $(370 + 0.08x) per month.
And, in plan b, a commission of 3% of sales and $730 per month, is the salary.
So, for a sale of $x the salary is $(730 + 0.03x) per month.
Now, for selecting plan a, the condition is
(370 + 0.08x) > (730 + 0.03x)
⇒ 0.05x > 360
⇒ x > 7200
Therefore, for a sale value greater than $7200 the plan a is profitable. (Answer)
Every triangle has 180 degrees when you add there angles so you know that they will add up to 180
they are right triangles so the right angle has 90 degrees
so for the yellow triangle
90+45+x=180
135+x=180
45=x
we can tell where the purple and yellow triangle touch is 90 so 45+x=90 to find that angle which is 45
and the other one is 45
so there are two 90 degree angles and three 45 degree angles.
I hope that made sence
Answer:
X > -4
Step-by-step explanation:
Collect the like terms which literally leaves you with -x<4
Then just changes the signs, hence the answer.
Please mark brainliest!
Hey there!!
In order to solve this equation, we will have to use the distributive property.
What is distributive property?
We will need to distribute one term to the other terms preset.
Example : 4 ( 3x - 1 )
sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1
( 4 × 3x ) + ( 4 × -1 )
12x + ( -4 )
= 12x - 4
This is after implementing the distributive property.
Now moving back onto the question
4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )
Let us first solve 4 ( x + 5 )
Distribute 4 to x and 5
( 4 × x ) + ( 4 × 5 )
4x + 20
Now let's solve 3 ( x - 2 )
Distribute 3 to x and -2
( 3 × x ) + ( 3 × - 2 )
3x - 6
Solve for -2 ( x + 2 )
Distribute -2 to x and 2
( -2 × x ) + ( -2 × 2 )
-2x - 4
Now, let's get everything back together
4x + 20 = 3x - 6 - 2x - 4
Combine all the like terms
4x + 20 = x - 10
Adding 10 on both sides
4x + 20 + 10 = x - 10 + 10
4x + 30 = x
Subtracting 4x on both sides
4x - 4x + 30 = x - 4x
30 = -3x
Dividing by -3 on both sides
30 / -3 = -3x / -3
- 10 = x
<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>