Answer:
Quarters = q = 200
Dimes = d = 756
Step-by-step explanation:
Let
Dimes = d
Quarter = q
Value of each Dime = 0.10
Value of each Quarter = 0.25
d + q = 956 (1)
0.1d + 0.25q = $125.60 (2)
From (1)
d = 956 - q
Substitute d = 956 - q into (2)
0.1d + 0.25q = $125.60
0.1(956 - q) + 0.25q = $125.60
95.6 - 0.1q + 0.25q = $125.60
- 0.1q + 0.25q = 125.60 - 95.6
0.15q = 30
Divide both sides by 0.15
q = 30 / 0.15
= 200
q = 200
Substitute q = 200 into (1)
d + q = 956
d + 200 = 956
d = 956 - 200
= 756
d = 756
Therefore,
Quarters = q = 200
Dimes = d = 756
Answer:
The length of AB is 
units
Step-by-step explanation:
The rule of the distance between two points (x1, y1) and (x2, y2) is
∵ The endpoints of AB are (-4, 5) and (2, -7)
→ Let point (-4, 5) be (x1, y1) and point (2, -7) be (x2, y2)
∴ x1 = -4 and y1 = 5
∴ x2 = 2 and y2 = -7
→ Substitute them in the rule above to find the length of AB
∵ 
∴ 
∴ 
∴ The length of AB is units
The GCF would simply be 1 because 19 is a prime number. This means that the only factors of 19 are 1 and 19, while the factors of 22 would be 1, 2, 11, and 22. The only factor they share is 1, so their greatest common factor is 1.
Answer:
4. A
8. D
9. B
Step-by-step explanation:
4. started with 10 points: +10
lost 20 points: -20
won 45 points: +45
10-20+45
8. 11-(-8)
=19
9. 100-(-50)-2
=150-2
=148
PLS GIVE BRAINLIEST
