Answer: x=-4
Step-by-step explanation:
Given
7(2x+5)=4x-9-x
Expand parenthesis
14x+35=4x-9-x
Combine like terms
14x+35=3x-9
Subtract 35 on both sides
14x+35-35=3x-9-35
14x=3x-44
Subtract 3x on both sides
14x-3x=3x-44-3x
11x=-44
Divide 11 on both sides
11x/11=-44/11
x=-4
Hope this helps!! :)
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Answer:
Step-by-step explanation:
Note that:
Two angles are Complementary when they add up to 90 degrees
Two angles are supplementary when they add up to 180 degrees
Let the angle = x
If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.
90 - x = 180 - 4x
Answer:
Given expression is equal to 1/32
Step-by-step explanation:
Given that:
= 4^(-5/2)
To eliminate "-" sign we will invert the fraction as follows:
= (1/4)^ 5/2
Or it can be written as:
= 
This is the simplified expression.
i hope it will help you!
The answer is the third option which is AEF and FED, AEG and CEG
Answer:
$55+$9x≥$199
You must work for at least 16 hours to be able to buy the bicycle.
Step-by-step explanation:
Let x represent the number of hours you need to work to buy the bicycle.
You already have $55.
⇒$55+ −−−−−≥ −−−−−
You also earn $9 per hour.
Algebraically, this can be written as 9x.
⇒$55+$9x≥ −−−−−
You need to earn at least $199 to buy the bicycle.
⇒$55+$9x≥$199
The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.
Let's find out how many hours you need to work to buy the bicycle.
Subtracting $55 from both sides of the inequality:
⇒$55−$55+9x≥$199−$55
⇒$9x≥$144
Dividing both sides by $9:
⇒$9x$9$=$144$9
∴x≥16
Therefore, you need to work at least 16 hours to afford the bicycle.
