4y-8>10
Add 8
4y-8+8>10+8
4y>18
Now divide both sides by 4
4y/4 > 18/4
y>9/2
Now let's see if it will be true
Replace y by its value
4(9/2)-8>10
36/2 -8 > 10
18-8 > 10
10 > 10
That's false because 10 can not smaller than 10
so it should be = instead
Answer : False
I hope that's help:)
Answer:
$280
Step-by-step explanation:
Step one
Given data
A mechanic makes $350 /week
20% of his income is deducted for taxes
Required
the mechanic's take-home pay for the week
Step two:
let us find 20% of $350
=20/100*350
= 0.2*350
=$70
Therefore the take-home pay is
= 350-70
= $280
Answer:
11. x=15 , 12. x=-16, 13 x is greater than or equal to 15 , 14 x=-3 , 15 x=-3, 16 x=15/2 , 17 x is greater than is equal to -4, 18: x is greater than -11
Step-by-step explanation:
11. 4x+15=75
subtract 15
4x=60
divide
x=15
12. 2x = -32 (subtract 13 from each side)
divide
x=-16
13. multiply each side by
-3/2
x is greater than or equal to 15
14. -3x -18 + 5 = -4
isolate x
-3x=9
x=-3
15. -5x-30 +5=-10
isolate x
-5x = 15
x= -3
16. 2x + 16 = 6x - 14
isolate x
4x = 30
x= 15/2
17 isolate x
x is greater than is equal to -4
18. isolate x
x is greater than -11
Answer:
-5.5
4.5
Step-by-step explanation:
Given:
The numbers to order from least to greatest is given as:

In order to compare these numbers, we have to convert them in same form.
Let us simplify each number in decimal form.

So, the least number is one which has the largest value with a negative sign.
Here, -5.5 is the least number.
The next smallest number is -4.47. So, 
The next smallest number is 2. So, 
The next smallest number is 3.14. So, 
The greatest number is 4.5.
Therefore, the order from the least to greatest is:
-5.5 <
<
<
< 4.5
For this case, what we must do is solve the following system of equations:
tan (50) = h / x
tan (40) = h / (x + 50)
Solving the system we have:
(x + 50) * tan (40) = h
(x) * tan (50) = h
Matching:
(x + 50) * tan (40) = (x) * tan (50)
Rewriting:
x (tan (50) - tan (40)) = 50 * tan (40)
x = 50 * tan (40) / (tan (50) - tan (40))
x = 118.9692621
Substituting:
h = (x) * tan (50)
h = (118.9692621) * tan (50)
h = 141.7820455
Answer:
The height of the building is:
h = 141.7820455 ft