Answer:
4 batches
Step-by-step explanation:
Total syrup made by Tamita = 18.5 ounces
Amount of ounces per batch = 4 ounces
If 1 batch = 4 ounces
x batches = 18.5 ounces
Cross multiply
4 * x = 18.5
x = 18.5/4
x = 4.625
Hence she can only make 4 batches of syrup
Assuming that the cost per minute is the same for both months and the plan fee is the same, you can use y=mx+b for this
y is the cost of the phone plan, x is the cost per minute and b is the start cost.
so 19.41=25x+b for the first month
and 45.65=380x+b for the second month
solve both for b you get:
19.41-25x=b and 45.65-380x=b. from this we get
19.41-25x=45.65-380x
solve for x
328x=26.24 and x=0.08
this means the cost per minute is 0.08c/min (answer A)
rewrite the equation to calculate b, and where this time, the x is the number of minutes talked.
y=0.08x+b and plug in one of the two months
45.65=0.08 * 380 + b
Solve for b and b is 15.25
so the final equation is
y=0.08x+15.25 (answer B)
Answer:
Hypotenuse = 14.1421 inches (rounded off to four decimal values)
Step-by-step explanation:
The legs of an isosceles triangle both measure 10 inches
Since the triangle is a right triangle,
We apply the Pythagorean Theorem to find the height of the hypotenuse
a² + b² = c²
a = 10 inches, b = 10 inches and (c) is the hypotenuse whose value we don't know.
So; 10² + 10² = c²
c² = 100 + 100
c² = 200
c = 
= 14.1421356237 inches
The hypotenuse is 14.1421 inches (answer rounded off to four decimal values)
Answer:
Step-by-step explanation:
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln
(
6
x
)
=
ln
(
66
)
Expand
ln
(
6
x
)
by moving
x
outside the logarithm.
x
ln
(
6
)
=
ln
(
66
)
Divide each term by
ln
(
6
)
and simplify.
Tap for more steps...
x
=
ln
(
66
)
ln
(
6
)
The result can be shown in multiple forms.
Exact Form:
x
=
ln
(
66
)
ln
(
6
)
Decimal Form:
x
=
2.33829083
…
