Let's represent Nemo's age with an n.
Barney is 8 years older so his age is nemo's plus 8. That is, Barney's age is n + 8
In seven years they will each be the age they are now plus 7. So, Nemo will be n + 7 and Barney will be n + 8 + 7. If the sum of their ages will be 46 we know that when we add these expressions we should get 46, so let's set the sum to 46 and solve for n.
n + 7 + n + 8 + 7 = 46
2n + 22 = 46
2n = 46 - 22
2n = 24
n = 12
That means that Nemo's age is 12.
Since Barney is 8 years older his age is 12 + 8 = 20.
To check our work we see that in 7 years Nemo will be 12 + 7 = 19 and Barney will be 20 + 7 = 27. Together that is 19 +27 = 46 as expected.
Answer:
(z) + (z) + (z-1) + (z-1) = 4z-2
Step-by-step explanation:
Perimeter is the sum of all the sides
a. The lightbulb uses the energy of 960 W or 9.60 kW.
Step-by-step explanation:
Step 1:
To determine the energy used by the appliances we need to understand the equation
To determine the energy used, we multiply the power of the appliance with the amount of time it has been used for.
Step 2:
The lightbulb has a power of 60 W and is used for a period of 16 hours.
The energy used by the lightbulb 
W = 0.96 kW.
The toaster oven has a power of 1,500 W and is used for 0.75 hours.
The energy used by the toaster oven 
W = 1.125 kW.
Answer:
Segment AB || Segment CD
Step-by-step explanation:
Two lines are said to be parallel (||) if they do not meet, even when extended to infinity.
Given: <1 ≅ <3, ΔACD is an isosceles triangle.
Proof: Segment AB || Segment CD
From the diagram given,
AC ≅ AD (side property of isosceles triangle)
<3 = <4 (base angle property of an isosceles triangle)
<1 = <4 (alternate angle property)
Therefore, segment AB is parallel to segment CD.
When p is down 7 units you are just going to go up
