Answer:
X = 8
Y = 32
Z = 16
Step-by-step explanation:
X + Y + Z = 56
Y = 2Z
X = Z – 8
Substitute the values from the second and third equation into the first equation:
Z – 8 + 2Z + Z = 56
Simplify
-8 + 4Z = 56
4Z = 64
Z = 16
So if Y = 2Z, Y = 2(16) = 32
And if X = Z – 8, X = 16-8 = 8
Hey there!
<span>Two
waves are traveling through the same container of air. Wave A has a
wavelength of 2.0m. Wave B has a wavelength of 0.5m. The speed of wave B
must be ________ the speed of wave
Your answer is:
A. the same as
Hope this helps!
Have a great day (:
</span>
x = number of minutes used, y = total cost in dollars
Plan A: y = 0.09x + 24
Plan B: y = 0.14x + 20
Equate the two right hand side (RHS) expressions and solve for x
0.14x + 20 = 0.09x + 24
0.14x - 0.09x = 24 - 20
0.05x = 4
x = 4/0.05
x = 80
The two plans will cost the same amount of money if you use up 80 minutes
Plug in x = 80 into either equation to find y
y = 0.09*x + 24
y = 0.09*80 + 24
y = 31.20
or
y = 0.14*x + 20
y = 0.14*80 + 20
y = 31.20
So both plans will cost $31.20 if you use up 80 minutes
Answer:
<h2>Three-fourths</h2>
Step-by-step explanation:
<h3>
Triangle XYZ</h3>
<h3>
Triangle X'Y'Z'</h3>
To find the factor of dilation, we just need to divide the sides of the prime figure with the sides of the original figure.
Notice that 1.333333.... is equivalent to 4/3, but the factor of dilation is from the smaller figure to the bigger figure. That means it's the opposite: 3/4.
Therefore, the factor of dilation is three-fourths.
Answer:
$5,400
Step-by-step explanation:
7,500-28%=5,400
