Step-by-step explanation:
p=3, q=-11
Answer: The mixed number is 5 5/8 cups of trail mix.
Step-by-step explanation:
- Find the least common multiple of 4, 6, 2, 8, and 3, which is 24.
- Convert the fractions so they have 24 as their denominator.
- 2 1/4 ; 9/4 = 54/24
- 5/6 = 20/24
- 1/2 = 12/24
- 1 3/8 ; 11/8 = 33/24
- 2/3 = 16/24
3. Add the numerators, 54 + 20 + 12 + 33 + 16. 54 +16 = 70. 70 + 20 = 90. 90 + 12 = 102. 102 + 33 = 135.
4. The improper fraction is 135/24. Simplify it by 3 on both numerator and denominator which results in 45/8. 45/8 as a mixed number is 5 5/8 since 8 goes into 45, 5 times and the remainder is 5, which results the denominator to be 8.
Answer:
Triangle PTS is an equilateral triangle because all sides are equal lengths.
Angle TPS and angle TSP are equal because it is an equilateral triangle.
Triangle PQS and triangle SRP are congruent because of the side-angle-side theorem.
Segment PQ is congruent to segment SR because congruent sides of congruent triangles are congruent.
Segment PR is congruent to segment SQ because congruent sides of congruent triangles are congruent.
Triangle PQR and triangle SRQ are congruent because of the side-side-side theorem.
Answer:
Intersection Point: (0.4, 3.8)
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x + 3
x + 2y = 8
<u>Step 2: Graph</u>
<em>Where the 2 lines intersect is the solution set to the systems of equations.</em>
The answer is 8.the photos attached help
