Answer:
Correct answer is:
Step-by-step explanation:
Given that Number of bracelets with yellow beads is represented by 
Each bracelet with yellow beads is sold for $5.
Total money raised by bracelets with yellow beads = Number of bracelets sold 
Money raised by sale of one such bracelet = 
Also Given that Number of bracelets with Orange beads is represented by 
Each bracelet with orange beads is sold for $6.
Total money raised by bracelets with orange beads = Number of bracelets sold Money raised by sale of one such bracelet = 
Given that total money raised by sale of both type of bracelets is $660.
so, the first equation becomes:
It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"
So, by equation (1) and (2), the system of equations is:
Answer:
ABCD is a parallelogram
Step-by-step explanation:
Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a
parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC
1. given 2. ∠CAD and ∠ACB are alternate interior ∠s 2.
definition of alternate interior angles 3. ∠CAD ≅ ∠ACB 3.
alternate interior angles are congruent 4. AC ≅ AC 4.
reflexive property 5. △CAD ≅ △ACB 5. SAS congruency
theorem 6. AB ≅ CD 6. ? 7. ABCD is a parallelogram 7.
<span>The dimensions are 40 inches by 55 inches.
Explanation<span>:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.
Combining like terms, we have
2y+22/8y=190.
Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.
Divide both sides by 4 3/4:
(4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4)
y=190</span></span>÷<span><span>(4 3/4).
Convert the mixed number to an improper fraction:
y=190</span></span>÷<span><span>(19/4).
To divide fractions, flip the second one and multiply:
y=190*(4/19)=760/19=40.
Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>
The options of the problem are
we have
we know that
<u>The Rational Root Theorem </u>states that when a root 'x' is written as a fraction in lowest terms
p is an integer factor of <u>the constant term</u>, and q is an integer factor of <u>the coefficient of the first monomial</u>.
So
in this problem
the constant term is equal to 
and the first monomial is equal to 
-----> coefficient is 
therefore
<u>the answer is the option </u>
D. 
