<span>The correct answer is 12/17m+30/17 yellow ribbons.
Explanation:
Setting up a proportion to represent the ratio of red to yellow, we have
r/y = 17/6.
Cross multiply:
6r=17y.
To isolate y, cancel 17 by dividing:
6r/17 = y, or (6/17)r=y.
Substituting 2m+5 for r, we have
(6/17)(2m+5)=y.
Use the distributive property:
(6/17)*2m+(6/17)*5=y
(12/17)m+30/17=y.</span>
Answer:
Step-by-step explanation:
Answer:
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
Solution:
Step 1: Set up a table with quantity and value.
quantity value total
$3 tickets
$2 tickets
together
Step 2: Fill in the table with information from the question.
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
quantity value total
$3 tickets x 3 3x
$2 tickets y 2 2y
together 350 950
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
The answer would be 
In 1.23, we know that 1 is a whole number and .23 is part of a whole, so it is a fraction.
.23 can be written as 
because the decimal is till the hundredths place.
We cannot simplify any further so we leave it as is.
The answer would then be .
Answer:
(C) Perpendicular bisector theorem
Step-by-step explanation:
(A) Right angle theorem : The right angle theorem states that if two angles are supplementary and congruent, then these two angles are right angles.
(B) Converse of perpendicular bisector theorem: The converse of perpendicular bisector theorem states that If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of that segment.
(C) Perpendicular Bisector Theorem: The Perpendicular Bisector Theorem states that If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
(D) Pythagorean theorem: The Pythagorean theorem states that in the right angled triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides that is:
Since, the given statement is the statement of the Perpendicular bisector theorem, thus option C is correct.
