Answer:
6x + 3.5y is greater than 60
Step-by-step explanation:
Cost of x bags of popcorn = 6x
Cost of y bottles of soda = 3.5y
Total cost = 6x + 3.5y
To get a souvenir poster, this cost must exceed 60
Answer: a. x=4 b. x=17.5
Step-by-step explanation:
a. 5x/2+1=11
subtract 1 from both sides : 5x/2=10
multiply both sides by 2 : 5x=20
divide both sides by 4 : x=4
b. 2x/7-3=2
add 3 to both sides : 2x/7=5
multiply both sides by 7 : 2x=35
divide both sides by 2 : x=17.5
Answer:
- (x + 10)² + (y + 4)² = 232
Step-by-step explanation:
<h3>Given </h3>
- Center = (-10, -4)
- Point on circle = (4, 2)
<h3>To find </h3>
<h3>Solution</h3>
<u>Remember the standard equation of circle:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center and r is radius
<u>We have</u>
Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.
<u>Here we are finding the distance between points (-10, -4) and (4, 2)</u>
- r² = (-10 - 4)² + (-4 - 2)²
- r² = 14² + 6²
- r² = 232
<u>So the equation is:</u>
- (x + 10)² + (y + 4)² = 232
Answer:
1. 50 * 1,000 = 50,000
2. 49,001 + 999 = 50,000
3. 5 * 10,000 = 50,000
4. 100,000/2 = 50,000
5. 20,000 + 30,000 = 50,000
6. 50,000/1 = 50,000
7. 90,000 - 40,000 = 50,000
8. 10 + 49,990 = 50,000
9. 5,000 * 10 = 50,000
10. 1,000,000/20 = 50,000
Answer:
a^2 + b^2 = c^2
a^2 + 32^2 = 58^2
a^2 + 1024 = 3364
a^2 = 2340
a = 48.37
Step-by-step explanation:
