The statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
0.1x + 0.25y = 19.9 and
x + y = 100
Let x = number of dimes
y = number of quarters
After solving the above system of equations by substitution method.
y = 66
x = 34
Thus, the statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
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Answer:C
Step-by-step explanation:
the square root of 12 is 3.46
Answer:
D) 20°
Step-by-step explanation:
Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.
57° + 30° + x = 180°
Simplify: 87° + x =180°
x=93°
By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.
67° + 93° + y = 180°
Simplify: 160° + y = 180°
y=20°
9514 1404 393
Answer:
3 minutes
Step-by-step explanation:
Let x represent Alysha's time to drive home from the market.
Speed and time are inversely proportional to each other (for the same distance), so we have ...
(walking speed)(walking time) = (driving speed)(driving time)
5(x +21) = (8·5)(x)
x +21 = 8x . . . . . . . . . divide by 5
21 = 7x . . . . . . . . subtract x
3 = x . . . . . . .divide by 7
It takes Alysha 3 minutes to drive home from the market.
