25q + 10d = 425
q + d = 20
First thing's first, picture 4 quarters. Do you know how much these 4 quarters are worth? Obviously, you'd answer one dollar, but take the time to think about how exactly you came up with this answer.
"Well, it's simple," you might think, "Multiply 0.25 by 4."
Similar to this train of thought, the first equation is formulated by doing exactly that. 'q' represents an unknown number of quarters, and 'd' an unknown number of dimes. We use 25q and 10d, because, well, we're multiplying their value by the number of coins. They're equivalent to 425 because the 20 unknown coins make $4.25 (I converted it to cents to get rid of the pesky decimals, but if you want to keep it as dollars that works too).
Because the equation states that there are 20 coins in total, we know that we can make the equation 'q + d = 20' since there are 20 quarters and dimes in total.
Let me know if you need any further explanation :)
-T.B.
Answer:
<h2>
y = - x </h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -1
(-5, 5) ⇒ x₀ = -5, y₀ = 5
The point-slope form of the equation:
y - 5 = -1(x + 5)
So:
y - 5 = -x - 5 {add 5 to both sides}
y = -x ← the slope-intercept form of the equation
Answer:they are
Step-by-step explanation:
Answer:
102.222 square yards of light.
Step-by-step explanation:
From the above question, the yard had the dimensions 40 feet long and 23 feet wide.
Hence, the yard is rectangular in shape.
We have to find the area of the yard.
The formula is given as:
Area = Length × Width
= 40 feet × 23 feet
= 920 square feet
Converting to yards
1 square foot = 0.111 square yard
920 square feet = x
Cross Multiply
x = 920 × 0.111 square yard
x = 102.222 square yards.
Therefore, Robbert would need 102.222 square yards of light.
50 mph for 3 hours = 150 miles
70mph for 2.5 hours = 140 + 35 = 175
175 miles - 150 miles = 25 miles
