Answer:
Step-by-step explanation:
Set up two equations with the information given-- and things you know from experience: a penny is worth 1 cent and a nickel is worth 5 cents. $ 2.38 is 238 cents (so you can eliminate decimals for now)
Put those values into an equation about the total value:
p + 5n = 238
and you know the total number of coins is 66.
p + n = 66
get a value for p by "solving" (subtract n from both sides)
p = 66-n
Substitute that value for p in the first equation. Then solve.
(66 -n) + 5n = 238
4n = 238-66 Then isolate n by dividing both sides by 4
n = 172/4
n = 43 Substitute that in the second equation, then solve for p
p + 43 = 66 p = 66 - 43
p = 23
So Chuck has 23 pennies and 43 nickels
Answer:
#14) B) 7 cars
#15) C) 37
Step-by-step explanation:
Hope this helps
Step-by-step explanation:
Step-by-step explanation:
Given the table:
Month f(x) = Number of imports g(x) = Number of exports
January (1) 3 1
February (2) 4 3
March (3) 5 5
April (4) 6 7
From the table, it is clear that:
Number of imports = number of month + 2
so
also
Number of exports = 2(number of month) + 1
so
Therefore, the number of imports equals the number of months plus one. i.e., which is a linear function.
If we compare it with the slope-intercept form of the line
Then,
slope = m = 1
y-intercept = 2
Also number of exports equals is also a linear function.
i.e.
Here,
slope = m = 2
y-intercept = -1
Step-by-step explanation:
K is an upper bound for│f"(x)│on the interval [0, 1], so x ≤ 1.
Sine and cosine have maximums of 1, so an upper bound of │f"(x)│is:
│f"(x)│≤ (76 · 1 + 152 · 1 · 1)
│f"(x)│≤ 228
A parallelogram has 4 sides, 2 of them are parallel to each other along with the others.
You can see how far (from the middle of the quadrilateral) is one end of the line and then indicate how far the other end is. If those numbers are equal to the other lines distance then they are parallel
