Answer:
Tuesday
Step-by-step explanation:
Let the days of the week be numbered 1–7, starting with Monday and ending with Sunday. Let <em>t</em> represent today. We can equate the number of skirts finished by Friday (day 5) with the ones finished by Sunday (day 7) at the lower rate. (days × (skirts/day) = skirts)
... (5-t)×5 = (7-t)×3
... 25 -5t = 21 -3t . . . . . eliminate parentheses
... 4 = 2t . . . . . . . . . . . . add 5t-21
... 2 = t . . . . . . . . . . . . . divide by 2
Day 2 corresponds to Tuesday.
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<em>Check solution</em>
(5-2)·5 = 15 = (7-2)·3 skirts are being made.
Answer:
The answer is B
Because the train will stop and speed decreases with increasing time
Answer:
The triangle has one solution. The remaining side c ≈ 4 and remaining angles B = 30°; C = 31°.
Option D is correct.
Step-by-step explanation:
if angle A is obtuse and if a > b then the triangle has one solution
We are given ∠ = 119° which is obtuse and side a= 7 and side b - 4 i.e 7>4 so, the triangle has one solution.
Finding remaining side c and ∠B and ∠C
Using Law of sines to find ∠B
a/sin A = b/sin B
7/sin 119° = 4/sin B
7 * sin B = 4 * sin 119
7*sin B = 4(0.874)
sin B = 3.496/7
B = sin^-1(0.4994)
B = 29.96 = 30°
We know that sum of angles of triangle = 180°
So, 180° = 119° + 30° +∠C
180° = 149° + ∠C
=> ∠C = 180° - 149°
∠C = 31°
Now finding c
b/sin B = c /sin C
4/Sin 30 = c/sin 31
4* sin 31 = c*sin 30
4*0.515 = c* 0.5
=> c = 4*0.515/0.5
c = 4.12 ≈ 4
So, Option D one solution; c ≈ 4; B = 30°; C = 31° is correct.
5a + s = 2662
a + s = 1198
4a = 1464
a = 366
5(366) + s = 2,662
1830 adult tickets sold
2662 - 1830 = 832
832 student tickets sold
Answer:
14a+35
Step-by-step explanation:
7×2a=14a
7×5=35
=14a+25