Answer:
$31 per ticket
$0.33 per volleyball
2 strikeouts per inning
Step-by-step explanation:
Price per ticket:
279 = 9x
Divide both sides by 9
31 = x
Price per volleyball:.
6 = 18x
Divide both sides by 18
6/18 = x
Both the numerator and denominator have a common factor of 6
6 ÷ 6 / 18 ÷ 6 = x
1/3 = x
Convert to decimal for money
0.33 = x
Number of strikeouts per inning:
54 = 27x
Divide both sides by 27
2 = x
Answer:
a= -1
B
Step-by-step explanation:
My opinion:
the slope m = (y2 - y1) / (x2 - x1)
slope m is -5
y2 is 7
y1 is 2
x2 is -2
x1 is a
so the equation will be
-5 = (7 - 2) / (-2 -a )
10 + 5a = 5
5a = -5
a = -1
Then you can plug the value a = -1 into the equation of the slope m to double check it.
A cube is a 3d object bounded by 6 square faces.
Each side of the display case is 3 times longer than the width of the artifact.
width of the artifact = w
side of the cube = 3w
<span>a. Write an expression for the volume of the case.
volume of a cube is the measure of its side raised to the power of 3.
Volume = (3w)</span>³
<span>Volume = 27w</span>³<span>
</span>
The sum of the ages of Bryce and Sonya is 72 years old. 6 years ago, Bryce’s age was 3 times Sonya’s age. How old is Bryce now?
Answer:
D. N(a) = (a + 20)/3
Step-by-step explanation:
A(n) = 3n - 20
A is a function of n. The inverse will be: N is a function of a.
Change A(n) to y and n to x.
y = 3x - 20
Switch x and y.
x = 3y - 20
Solve for y.
x + 20 = 3y
3y = x + 20
y = (x + 20)/3
Now switch y to N(a) and x to a.
Answer: N(a) = (a + 20)/3
