<u>Part 1)</u> "Four times the difference of a number and
is
"
Let
x--------> the number
we know that
the expressions is equal to

therefore
<u>the answer part 1) is</u>

<u>Part 2)</u> "One third of a number is
less than the number itself"
Let
x--------> the number
we know that
the expressions is equal to

therefore
<u>the answer part 2) is</u>

<u>Part 3)</u> "Ten increased by the quotient of a number and
is
"
Let
x---------> the number
we know that
the expressions is equal to

therefore
<u>the answer Part 3) is</u>

<u>Part 4)</u> "One less than the product of a number and
is
more than the number itself"
Let
x---------> the number
we know that
the expressions is equal to

therefore
<u>the answer Part 4) is</u>

Answer:
5.75 - 5 3/4
Step-by-step explanation:
1 Cup = 0.0625 gallons
92 cups = 5.75 gallons
Answer:
C.<em> </em><em>The quotient of the natural logarithm of 2 and e.</em>
Step-by-step explanation:
The position of a particle on the x-axis at time t, t > 0, is given by

with t is in seconds and s(t) is in feet.
The rate of change is,
=
So rate of change of position or average velocity, for e ≤ t ≤ 2e will be,




Therefore, option C is the correct answer.
Answer:
Step-by-step explanation:
1. sin 30 = x/16
x= 16 sin 30
x = 8
2. cos 60 = 22/x
x = 22/cos 60
x = 44
3. tan 45 = x/19
x = 19 tan 45
x= 19
4. tan 16 = x/13
x = 13 tan 16
x= 3.73
5. sin 54 = x/45
x = 45 sin 54
x= 36.41
6. sin 35 = z/23
z = 23 sin 35
z = 13.19
Answer:
a): 68
b): 32
Step-by-step explanation:
In a triangle, there is a total of 180 degrees
We are given 2 out of the 3 angles, 54 and 58 degrees
180-54-58= 68 degrees
In the other angle, both lines form a 90-degree angle
We are given 58 degrees, so the rest must be 32.