Answer:
$0.35 per cup
Step-by-step explanation:
<u>Step 1: Find the unit price per quart</u>
5.60 / 4
<em>$1.40 per quart</em>
<em />
Step 2: Find the unit price per cup
1 quart = 4 cups
1.40 quarts / 4 cups
<em>$0.35 per cup</em>
<em />
Answer: $0.35 per cup
In Polynomials all the exponents of x-variable must be positive integers, then polynomials are:
<span>a) -x^5+7x-1/2x^2+9, the exponents of x's are: 5, 1, and 2
b) x^3-4x-3, the exponents of x's are: 3, and 1
f) x^4+x^3√7+2x^2-√3/2x+π, the exponents of x's are: 4, 3, 2, and 1
Not polynomials are:
</span><span>c) 4 / x^2-4x+3 = 4x^(-2)-4x+3, the exponents of x's are -2, and 1
d) x^4+5/x^3-√x+8=x^4+5x^(-3)-x^(1/2)+8, the exponents of x's are 4, -3, and 1/2
e) </span>|x|^2+4√x-2=<span>|x|^2+4x^(1/2)-2, the exponents of x's are 2 and 1/2</span>
The number of multiple-choice questions is 30.
The number of open-response questions is 6.
<h3>What is an equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 is an equation.
We have,
Number of multiple choice questions = M
Number of open response questions = N
We can make two equations.
M + N = 36 _______(1)
3M + 5N = 120 ______(2)
From (1) we get,
M = 36 - N ______(3)
Putting (3) in (2) we get,
3(36 - N) + 5N = 120
108 - 3N + 5N = 120
2N = 120 - 108
2N = 12
N = 6
Now,
Putting N = 6 in (3) we get,
M = 36 - 6
M = 30
Thus,
The number of multiple-choice questions and open-response questions is 30 and 6.
Learn more about equations here:
brainly.com/question/17194269
#SPJ1
Answer:
all real numbers
Step-by-step explanation:
The domain are the values of the input values x that makes the given function exist
Given the function:
y= x^2+4x
Since x^2 is a perfect square, the value of x can exist on all real numbers
Hence the domain of the function is all real numbers
Answer:2.25 grams
Step-by-step explanation:
To find the remaining mass of an element, apply the following:
m0 = m/(2^n), where m0 is the remaining mass, m as the original mass and n as the number of half lives that have passed.
we have m, we just have to find n. To find n,
24/6 = 4 half lives have passed.
Applying the first formula,
m0 = (36)/(2^4) = 36/8 = 2.25 grams
Hope this helps, brainliest would be appreciated :)