About .26 gallons, 3.4 cups, and about 35.2 fluid ounces. Anything else?
I’m guessing that this is for systems of equations?
n - nickels
d - dimes
These are the equations you start off with.
n = 5d-2
0.95 = 0.10d+0.05n
Substitute the top equation for n into the variable n in the bottom equation.
0.95 = 0.10d+0.05(5d-2)
Solve for d.
0.95 = 0.10d+0.25d-0.10
1.05 = 0.35d
3 = d
Substitute d into the top equation and solve for n.
n = 5(3)-2
n = 15-3
n = 12
There are 3 dimes and 12 nickels in the coin purse! Hope this helped <3
Deductive thinking: When you start with a given set of rules and conditions and determine what must be true as a consequence.
So the answer is true.
Looks as tho' you'll need to derive a function whose input and output values are represented by the given table. First, let's assume that the function is a linear one and that its general form is y=mx+b, where m=slope and b=y-intercept.
Take any two pairs of input-output and find the slope of the line segment that connects these two points. Call the slope "m."
Now use the point-slope form of the equation of a straight line to determine the equation of the line in point-slope form: y-k=m(x-h). You already know the value of m here, and you can pick any set of x- and y-values from the table to replace (h,k).
Good idea to double-check that your equation really does represent every pair of x- and y-coordinates in the table.
Assuming that it does, solve your equation (above) for x. Substitute 16 for y in this equation for x. Calculate the x-value that corresponds to y=16.
Answer:
16.6 in
Step-by-step explanation:
The volume (V) of a pyramid is
V = area of base × h
where h is the perpendicular height and area of base = 14² = 196
here V = 980, so
× 196h = 980 ( multiply both sides by 3 )
196h = 2940 ( divide both sides by 196 )
h = 15
Consider the right triangle formed by the height h from the vertex to the midpoint of the base and the slant height (s) ← the hypotenuse
Using Pythagoras' identity in the right triangle
s² = 15² + 7² = 225 + 49 = 274 ( take the square root of both sides )
s = ≈ 16.6