Answer:
210 student's
Step-by-step explanation:
80 students chose the aquarium.
60 students chose the science center.
30 students chose the planetarium.
40 students chose the farm.
The students can't vote for more than one place, so you just add all the numbers together.
80 + 60 + 30 + 40 = 210 students
Answer:
$4,600
Step-by-step explanation:
Carson:
g(x) = 185 + 0.015x
Avery:
f(x) = 1 + 0.055x
Determine the value of x, in dollars, that will make their weekly pay the same.
Equate both functions
Carson = Avery
185 + 0.015x = 1 + 0.055x
Collect like terms
185 - 1 = 0.055x - 0.015x
184 = 0.040x
Divide both sides by 0.040
x = 184 / 0.040
= 4,600
x = $4,600
The value of x, in dollars, that will make their weekly pay the same is $4,600
Answer:
yes
Step-by-step explanation:
because the longest side of a triangle must equal less than the sum of the other two, 3+7=10 which is greater than 8 means it is a triangle.
<h3>
Answer:</h3>
- 21π(10)^2 – 21π(6)^2
- 2,100π – 756π
<h3>
Step-by-step explanation:</h3>
The volume of metal is the difference of the overall volume of the cylinder and the volume of the hole in it. The formula for the volume of a cylinder is ...
... V = π·r^2·h . . . . . radius r and height h
For the overall dimensions, the radius is half the diameter, so is 10 mm. The hole is said to have a radius of 6 mm. The overall "height" is 21 mm, so the volume in mm³ will be ...
... V_overall -V_hole = π(10)^2(21) -π(6)^2(21)
... = 21π·10^2 -21π·6^2 . . . . . . . matches the first selection
... = 2100π -756π . . . . . . . . . . . matches the third selection
... = 1344π . . . . . . . . . . . . . . . . doesnt' match any selection
Answer:
<em>Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,</em>
<em>Part 2 : Value of x ⇒ 45°,</em>
<em>Part 3 : Measure of Angle U ⇒ 126°</em>
Step-by-step explanation:
~ Part 1 ~
We know that ∑ of angles in a triangle is 180;
m∠ U + m∠ V + m∠ W = 180°,
<em>Equation: ( 3x - 9 ) + 30 + 24 = 180</em>
~ Part 2 ~
Now let us simplify the equation above to solve for x;
3x - 9 + 30 + 24 = 180,
3x - 9 = 126,
3x = 135,
x = 45 degrees ( ° ) ⇒
<em>Value of x ⇒ 45°</em>
~ Part 3 ~
If it is known that m∠ U ⇒ 3x - 9;
m∠ U = 3 * ( 45 ) - 9,
m∠ U = 135 - 9,
m∠ U = 126 degrees ( ° ) ⇒
<em>Measure of Angle U ⇒ 126°</em>
