<h3>
Answer:</h3>
30.2833 L
<h3>
Step-by-step explanation:</h3>
(x L)/(8 gal) = (3.785411784 L)/(1 gal) . . . . exact conversion
Multiply by 8 gal.
... x L = (8 gal) × (3.785411784 L)/(1 gal) = 30.283294272 L
8 gallons ≈ 30.2833 L
Answer:
2<em>x </em>+ 7 = 25
<em>x </em>= 7
Step-by-step explanation:
Gary: 25
Sean: <em>x</em>
----------------------------
Let's break down the sentence into mathematical terms
Gary <u>is</u> 25 years old. That <u>is</u> 7 more than twice <u>Sean's age.</u>
In math, is means equal to. It is represented with an equal sign (=)
Gary = 25. 25 = 7 more than twice <u>Sean's age.</u>
7 more is represented by 7 +
Gary = 25. 25 = 7 + than twice <u>Sean's age.</u>
Twice means double which is 2 ·
Gary = 25. 25 = 7 + 2 · <u>Sean's Age</u>
<u>Sean's Age</u> will be represented by <em>x</em>
Gary = 25. 25 = 7 + 2<em>x</em>
We don't need it to say<em> "Gary = 25" </em>in our equation.
25 = 7 + 2<em>x</em>
Let's rewrite it with the associative property.
2<em>x </em>+ 7 = 25
---------------------
Now, solve
2<em>x </em>+ 7 = 25
<em>-7 -7</em>
2<em>x</em> = 18
<em>÷</em><em>2 </em><em>÷</em><em>2</em>
<em>x </em>= 7
----------------------
Sean is 7 years old.
Answer: x + 2x + x-40 = 180
First angle= 55º
Second angle= 110º
Third angle= 15º
Step-by-step explanation: The sum of the angles of a triangle is 180º
Take the values given and use x as the unknown first angle. then create terms for the other two angles based on that:
The second angle of a triangle is double the first angle becomes 2x
The third angle is 40 less than the first angle becomes x-40
x + 2x + x-40 = 180 Solve by adding like terms . x + 2x + x = 4x
4x -40 = 180 Add 40 to both sides to "cancel" the -40 on the left
4x + 40 -40 = 180 + 40 becomes
4x = 220 Divide both sides by 4 to "cancel" the 4 on the left side
4x/4 = 220/4
x = 55 This is the first angle. Substitute 55 for the "x" in the original terms
2(55) = 110 The second angle
(55) -40 = 15 the third angle
The point that the graphs of f and g have in common are (1,0)
<h3>How to get the points?</h3>
The given functions are:
f(x) = log₂x
and
g(x) = log₁₀x
We know that logarithm of 1 is always zero.
This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1
Therefore the point the graphs of f and g have in common is (1,0).
Learn more about graph on:
brainly.com/question/19040584
#SPJ1
A. y=-95x+665 y-intercept is 665
B. Ave rate of change is -95
C. y=0 so x=7 Domain is [0,7]
