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
Answer:
8.6 in²
Step-by-step explanation:
The area of the entire circle is A = πr², or A = π(2 in)².
This corresponds to a central angle of 2π radians, or 6.28 radians.
The area of the sector described above is just a certain fraction of that:
4.3 rad
-------------- * Area of circle = 0.685(4 * 3.14) = 8.6 in²
6.28 rad
Answer:
Yes
I hope this answers your question!
Step-by-step explanation:
How do you estimate a division problem?
You can use multiplication to check your division answer this way.
1) Do the division problem.
2) Multiply the quotient times the divisor.
3) If there is a remainder, add it to the multiplication product.
4) Compare this answer to the dividend. They should be the same number (630 = 630).
Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
, where (h,k) is the vertex
h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.
The answer is 1290
43 ones x 3 tens = 43 x 30