Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents
70 = 8b + 15c
he made a total of 7 copies
b + c = 7
system of equation:
70 = 8b + 15c
b + c = 7
--------------------------
b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c
plug in 7 - c for b
70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)
70 = 56 - 8c + 15c
Simplify like terms
70 = 56 - 8c + 15c
70 = 56 + 7c
Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides
70 (-56) = 56 (-56) + 7c
14 = 7c
divide 7 from both sides to isolate the c
14 = 7c
14/7 = 7c/7
c = 14/7
c = 2
c = 2
---------------
Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5
Jake made 5 black-and-white copies, and 2 color copies
hope this helps
Answer:
V = 678.24cubic cm
Step-by-step explanation:
Volume of a cylinder
V = πr^2h
V - volume of a cylinder
π - pie
r - radius of a cylinder
h - height of a cylinder
Given:
π - 3.14
h - 6
d = 12
d = 2r
Divide both sides by 2
d/2 = 2r/2
d/2 = r
r = d/2
r = 12/2
r = 6
Insert the values into the formula
V = πr^2h
V = 3.14 * 6^2 * 6
= 3.14 * 36 * 6
= 678.24cubic cm
Given the equation of a line of the form: y = mx + c, where m is the slope and c is the y-intercept.
y is the dependent variable while x is the independent variable.
The value c represents the initial value of the situation represented by the line. i.e. the value of the dependent variable (y) when the independent variable (x) is 0.
The value m is the slope and represents the amount with hich the dependent variable increases for each additional increase in the value of the independent variable.
Thus, given the equation: <span>y=11.984x+15.341,
where: y represents the total number of shorts sold each day, and x represents the day’s high temperature in °F.
The slope is 11.984 or approximately 12 and it represents the increase in the number of shorts sold for each additional increase in temperature.
Therefore, </span><span>the slope of the equation represents in context of the situation that '</span><span>The vendors will sell an additional 12 pairs of shorts for every 1° increase in temperature.' (option B)</span>
Answer:
10 to power of -8 so 0.00000001 I think
Hello, there!
5/4 = 1.25
So, we know that the answer is not A or B.
1.25 = 125%
Now, we know that the answer is not D ether.
So, the answer must be C.
I hope I helped!
Let me know if you need anything else!
~ Zoe