Answer:
Rate per gallon in simplest form is,
Step-by-step explanation:
Unit rates defined as the rates are expressed as a quantity of 1, such as 5 feet per second or 6 miles per hour, they are called unit rates.
Given the statement: 252 miles per 8 gallons.
⇒ Number of miles = 252
and number of gallons = 8
Unit rate per gallons = =
Divide numerator and denominator both by 4 we get;
Unit rate per gallons =
Therefore, "252 miles per 8 gallons " as a rate in simplest form is,
Answer:
Step-by-step explanation:
x = 90 - 54 = 36
Answer:
x = 36
Step-by-step explanation:
The sum of all the angles in a triangle is 180
Add the known angles together
54 + 90 = 144
then subtract 180 and 144 to find x
180 - 144 =36
Answer:
h =
Step-by-step explanation:
given
A = bh ( isolate h by dividing both sides by b )
= ( cancel b on numerator and denominator )
= h
Answer and Step-by-step explanation:
We're asked to solve the equation for .
To solve it for h, we'll divide both sides by b.
It's now solved for h.
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Note: Solving for h means we're isolating h on one side of the equation. To do it we'll use basic algebra.
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To find the vertical asymptotic equations of the rational function, we must first find the points of intersection of the function with the x-axis. These points are the solutions of the equation f(x) = 0. We decompose the exponential function into the product of two expressions: f(x) = (x² + 9x)(x² - 2x - 15) Now we can set each of the expressions inside the parentheses equal to zero and solve the vertical asymptotic equations: x² + 9x = 0 or x² - 2x - 15 = 0 To solve the first equation, we can factor x out: x(x + 9) = 0 So the two vertical asymptote equations are x = 0 and x + 9 = 0 (that is, x = -9). To solve the second equation, we can use the analysis method or the quadratic formula. Using the analysis method, we can decompose the expression x² - 2x - 15 in the following form: (x - 5)(x + 3) = 0 Therefore, two vertical asymptote equations equal to x - 5 = 0 (that is, x = 5) and x + 3 = 0 (that is, x = -3). So the vertical asymptotic equations of the rational function f(x) = (x² + 9x)(x² - 2x - 15) are equal to x = 0, x = -9, x = 5 and x = -3.
Answer:
1-7i
17i
14
Step-by-step explanation:
7-5i-6-2i=1-7i
1+9i-1+8i=17i
3i+14-3i=14
B. 54
C. 216
D. 244
A correct option is an option (B).
Given,
The total area of the carpet is 270 square feet.
Fraction:
it is also termed as a portion or section of any quantity. It is denoted by using the ‘/’ symbol, such as a/b. For example, 2/4 is a fraction where the upper part denotes the numerator and the lower part is the denominator. A fraction is a word that is originated from Latin. In Latin, “Fractus” means “broken”.
Now, of the carpet padding leftover.
So, of 270 square feet is,
So, 54 square feet is left.
Learn more about the topic Fraction:
Answer:
c 216
Step-by-step explanation:
270 divide by 5 equals 54
54 times 5 equals 270
270 - 54 equals 216