Answer:
y=5x+9
Step-by-step explanation:
Firstly, we have to use the equation y=mx+b, where m is the slope and b is the y intercept.
We know that m=5, x=0 and y=9.
So why not plug them into the equation to find b?
9=5(0)+b
9=0+b
9=b
Therefore, y=5x+9 is your final answer.
Answer:
9
Step-by-step explanation:
let the number
=
x
then 4 times the number
=
4
x
and 4 times the number increased by 15
=
4
x
+
15
also 6 times the number
=
6
x
and 3 less than 6 times the number
=
6
x
−
3
equating the two expressions gives the equation
4
x
+
15
=
6
x
−
3
←
solve for x
subtract 6x from both sides
4
x
−
6
x
+
15
=
6
x
−
6
x
−
3
⇒
−
2
x
+
15
=
−
3
subtract 15 from both sides
−
2
x
+
15
−
15
=
−
3
−
15
⇒
−
2
x
=
−
18
divide both sides by
−
2
−
2
x
−
2
=
−
18
−
2
⇒
x
=
9
As a check
(
4
×
9
)
+
15
=
36
+
15
=
51
(
6
×
9
)
−
3
=
54
−
3
=
51
⇒
the number is 9
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
U can use the second last one
X + 90 = 2x + 40
Marlene owes a total of $20,710.75 in taxes.
If we are using the same tax schedule then $95,000 belongs to this bracket:
Over - But not over - of the excess over -
$77,100 but not over $160,850.. 15,698.75 plus 28% 77,100
Get the 28% of the difference between $95,000 and $77,100:
$95,000 - $77,100 = $17,900
$17,900 * .28 = $5,012
$15,698.75 + $5,012 = $20,710.75
