Let
x------> Cathy's<span> ages
</span>y------> Tony's ages
we know that
x+y=65-----> x=65-y-----> equation 1
y-8=(2/5)*(x-8)-----> equation 2
substitute equation 1 in equation 2
y-8=(2/5)*(65-y-8)---> y-8=22.8-0.4y----> y+0.4y=22.8+8
1.4y=30.8-----> y=22
x=65-y-----> x=65-22----> x=43
the answer is
Cathy's ages is 43 years
Tony's ages is 22 years
Step-by-step explanation:
<h3>Given</h3>
- Side 1: 3x² - 2x - 1
- Side 2: 9x + 2x² - 3
- Perimeter: 5x³ + 4x² - x - 3
<h3>Part A</h3>
Sum of side lengths 1 and 2
- 3x² - 2x - 1 + 9x + 2x² - 3 =
- 5x² + 7x - 4
<h3>Part B</h3>
The perimeter is the sum of all three sides.
<u>The length of the third side is</u>
- P - (side 1 + side 2) =
- 5x³ + 4x² - x - 3 - (5x² + 7x - 4) =
- 5x³ + 4x² - x - 3 - 5x² - 7x + 4 =
- 5x³ - x² - 8x + 1
Part A - addition
Part B - subtraction
Answer:
<h2>x = 3</h2>
Step-by-step explanation:
Look at the picture.
We have the triangles 45° - 45° - 90° and 30° - 60° - 90°.
The sides of those triangles are in ratio:
1 : 1 : √2 and 1 : √3 : 2
Therefore
If AC = 6√2 then AB = BC = 6
If BC = 6 then x = 6 : 2 = 3
Remember that parentheses come first. Follow PEMDAS
Answer:
The rate of change is of 2.25 degrees per hour.
Step-by-step explanation:
The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).
In this question:
From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours
The change in temperature was of 76 - 58 = 18º
Rate of change:
18º/8 = 2.25º
The rate of change is of 2.25 degrees per hour.
