Answer:
$134.49
Step-by-step explanation:
Multiply the rate by the salary:
7.65% × $1758 = $134.49
Tyler's employer should deduct $134.49.
Answer:
x = 6
Step-by-step explanation:
<em>Let's solve y for x + 2y = 8.</em>
x + 2y = 8
2y = -x + 8
y =
x + 4.
<em>Let's solve y for x - y = 5.</em>
x - y = 5
y = x - 5
<em>Since both equations have been solved for y, we can combine them together into one!</em>
x - 5 =
x + 4
x
x = 4 + 5
1.5x = 9
x = 6
Hope this helped! If not, please let me know!
Given:
The ratio of the cost of a shirt to the cost of a jacket is 2:5.
The jacket cost $240 more than the shirt.
To find:
The cost of the shirt and the cost of the jacket.
Solution:
Let x be the cost of the shirt.
The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).
The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,



Subtract 2x from both sides.


Divide both sides by 3.


So, the cost of shirt is $160.
Now, the cost of jacket is:

Therefore, the cost of shirt is $160 and the cost of jacket is $400.
Answer:
1,467.6 cm³
Step-by-step explanation:
Volume of the solid = volume of the rectangular prism - volume of the cylinder
= L*W*H - πr²h
L = 12
W = 10
H = 16
r = ½(6) = 3
h = 16
Plug in the values
Volume of the solid = 12*10*16 - π*3²*16
= 1,920 - 452.40
= 1,467.6 cm³
Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y