Step-by-step explanation:
the equation of the line that is parallel to
x – 3y = 9
=> the slope = -1/-3 = ⅓
passes through the point (3, -1) =>
y -(-1) = ⅓(x -3)
y+1= ⅓x - 1
y = ⅓x -1-1
y = ⅓x - 2
or
x -3y = 6
Answer:
yes
Step-by-step explanation:
4/6 is 2/3 doubled
Answer:
<em>Answers below</em>
Step-by-step explanation:
<u>Equation</u>
Let's call:
p = number of pennies Janesa has in her pocket
n = number of nickels Janesa has in her pocket
She has 24 coins in total, thus:
![p + n=24\qquad\qquad [1]](https://tex.z-dn.net/?f=p%20%2B%20n%3D24%5Cqquad%5Cqquad%20%5B1%5D)
Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:

Multiplying by 100:
![p+5n=100\qquad\qquad [2]](https://tex.z-dn.net/?f=p%2B5n%3D100%5Cqquad%5Cqquad%20%5B2%5D)
A. Completing the equation:

B.
From [1]:

Substituting into [2]:

Simplifying:

Rearranging:



B. There are 5 pennies in Janesa's pocket
C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05
The total value of the pennies is $0.05
D. The total value of the nickels is 19*$0.05 = $0.95
E. Jackson should say she has 19 nickels and 5 pennies
A simple answer is because 4 and 5/4 is equal to 5 and 1/4. Because 5/4 is 1/4 more than 4/4, or 1.
No, yes, no, yes
What part of comparing number values do you not understand? Most folks figure out enough about place value to be able to answer this by 3rd grade. If there's something about this question that really stumps you, please advise in the comments.