Answer:
x=2, y=3
Step-by-step explanation:
This is a <u>system of equations</u>.
To solve a system of equations, we use the substitution method.
We can plug in the first equation, 
, into the value for <em>x</em> in the second equation. Now, the second equation looks like this:
We simplify and solve for <em>y</em>:
→ 
→ 
→ 
Now, we plug in the value for <em>y</em>, which is 3, into either equation. I will just use the first equation:
→ 
→ 
Let me know if my explanation is unclear.
Step-by-step explanation:
Annie: 4 dollars = $4 11 dimes = 11 x 0.10 = $1.1 ( since 1 dime = 0.10 dollars)
4 pennies =4 x 0.01= $0.04 ( since 1 penny = 0.01 dollars)
Tommy 3 dimes = 3 x 0.10 = $0.3 3 pennies = 3x 0.01 = $0.03
Adding the values: 4 +1.1+0.04+0.3+0.03 = $5.47
Answer:
a. x=2, y=13
b. x=14, y=25
c. x=−4, y=13
Step-by-step explanation:
Answer:
210 hours
Step-by-step explanation:
<u>Step 1: Make an expression</u>
(2/3 * 1575) / 5
<u>Step 2: Multiply</u>
(2/3 * 1575)/5
(1050) / 5
<u>Step 3: Divide</u>
(1050) / 5
210 hours
Answer: 210 hours
Let the side of the garden alone (without walkway) be x.
Then the area of the garden alone is x^2.
The walkway is made up as follows:
1) four rectangles of width 2 feet and length x, and
2) four squares, each of area 2^2 square feet.
The total walkway area is thus x^2 + 4(2^2) + 4(x*2).
We want to find the dimensions of the garden. To do this, we need to find the value of x.
Let's sum up the garden dimensions and the walkway dimensions:
x^2 + 4(2^2) + 4(x*2) = 196 sq ft
x^2 + 16 + 8x = 196 sq ft
x^2 + 8x - 180 = 0
(x-10(x+18) = 0
x=10 or x=-18. We must discard x=-18, since the side length can't be negative. We are left with x = 10 feet.
The garden dimensions are (10 feet)^2, or 100 square feet.
