Answer:
Without any studying, the score would be about 328
Step-by-step explanation:
The y-intercept of an equation represents the point where its graph crosses the y-axis. At this point the value of x is always equal to 0.
The y-intercept of the equation in this context would represent the Math SAT score of a student who did not do any studying, that is the number of hours spent studying, x = 0.
Substitute x = 0 in the given equation and solve for y;
y = 24.387(0) + 328.182
y = 328.182
Therefore, Without any studying, the score would be about 328
Answer:
a). x = 135°
b). y = 45°
c). z = 67.5°
Step-by-step explanation:
Since sum of interior angles of a regular polygon is represented by,
Sum of interior angles = (n - 2) × 180°
Here n = number of sides
For a regular octagon, n = 8
Sum of interior angles = (8 - 2) × 180° = 1080°
And measure of one interior angles = 
x = 
x = 135°
From the figure attached,
Angle C has been divided in 6 equal parts,
Therefor, m∠ECD = 
= 22.5°
Since ∠ECD ≅ ∠CED,
m∠CED = 22.5°
Since m∠E = 135°
m∠FEC = 135 - 22.5 = 112.5°
In ΔFEC,
m∠FEC + m∠ECF + m∠CFE = 180°
112.5 + 22.5 + z = 180
z = 180 - 135
z = 45°
Similarly, in ΔCGF,
m∠CGF + m∠CFG + m∠GCF = 180°
(135 - y)° + (135 - z)° + 22.5° = 180°
270 - (y + z) + 22.5 = 180
292.5 - (y + 45) = 180
247.5 - y = 180
y = 247.5 - 180
y = 67.5°
1. it describes what the cost would be for two medium lattes and one small latte all together.
2. it would be the first one which is 2x + y = 7.15
Step-by-step explanation:
Answer: -3p^2-8p-3
Step-by-step explanation: By distributing we get, -3p^2-6p-2p-3. Then simplify accordingly.
Answer:
3
Step-by-step explanation:
Note that 24 - 10 = 14 don't have black fur
And suppose that these 14 are part of the 17 that don't catch mice
Then.....3 that catch mice must also have black fur....and this is the smallest number that do not catch mice but have black fur
