Answer:
she would need 7 ounces
Step-by-step explanation:
Answer: 
Step-by-step explanation:
1. To find the equation asked, you must add the times:
Where 
is the time takes Lilly in her path to work and 
is the time takes Lilly in her path to home.
2. You must use the following formula of speed and solve for the time
Where n is the distance, V is the speed and t is the time.
3. You know that Lilly takes a train each day to work that averages 35 miles per hour, then, you can write the following expression:
4. And her train ride follows the same path at 45 miles per hour:
5. Then, you obtain the following equation:
Answer:
It is right
Step-by-step explanation:
Because the hypotenuse must be greater than all the legs, we have that 
is the hypotenuse. So, we want to determine if 
.
This means the triangle is indeed right!
Answer: XI = 10.35 mm
Step-by-step explanation:
Considering the given triangle XIF, to determine XI, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
XI/SinF = XF/SinI = FI/SinX
The sum of the angles in a triangle is 180°. It means that
F + 63 + 52 = 180
F = 180 - (63 + 52)
F = 65°
Therefore
XI/Sin 65 = 9/Sin 52
Cross multiplying, it becomes
XISin52 = 9Sin65
0.788XI = 9 × 0.906
0.788XI = 8.154
XI = 8.154/0.788
XI = 10.35
Answer:
Step-by-step explanation:
Number of adults = a
Number of children = c
Total people = 430
a + c = 430 --------------(I)
Total amount =$890
3a + c =890 -----------(II)
Multiply equation (I) by (-1)
(I)*(-1) -a - c = -430
(II) <u>3a + c = 890</u> {Now add and thus c will be eliminated}
2a = 460
a = 460/2
a= 230
Plug in the value of a in equation (I)
230 + c = 430
c = 430 - 230
c = 200
Number of adults = 230
Number of children = 200
