<span>2/3 (x-7)= -2
x - 7 = -2 * 3/2
x - 7 = -3
x = -3 + 7
x = 4</span>
Answer:
<em>$195</em>
Step-by-step explanation:
15a + 12c
5 adults and 10 children means a = 5 and c = 10
15a + 12c = 15(5) + 12(10) = 75 + 120 = 195
Answer:
The speed of the Zach travelling is 8 miles per hour.
The speed of the Warren travelling is 15 miles per hour.
Step-by-step explanation:
Given : Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zach and after 7 hours they are 161 miles apart.
To find : How fast is each traveling?
Solution :
Let the speed of Zach is x mile per hour.
If Warren travels 7 mph faster than Zach
The speed of the Warren is x+7 miles per hour.
Zach and Warren both leave the coffee shop at the same time, but in opposite directions.
The distance covered is 161 miles in 7 hours.
We know, 
Substitute,






The speed of Warren is 8+7=15
The speed of the Zach travelling is 8 miles per hour.
The speed of the Warren travelling is 15 miles per hour.
Answer:
∠VXW = 57°
∠XVW = 56°
Step-by-step explanation:
Firstly, we need to remember the sum of a triangle's angle ALWAYS equals 180°.
Next, we see that two angles of △XYZ are given to us; 58° and 65°. Adding these two numbers would give us 123°. Now we need to subtract 123 from 180 to find the ∠YXZ; 180° - 123° = 57°.
Once we have this number, we need to remember a straight line also measures 180°. Line YW is important to find our answer, but first we need to find the answer to ∠WXZ. Since ∠YXZ and ∠WXZ come together and create the line YW, we can easily find the answer to ∠WXZ by subtracting ∠YXZ with 180; 180° - 57° = 123°
Now we need to find ∠VXW keeping the previous things I mentioned in mind; 180° - 123° = 57°. This is the answer to our first angle ∠VXW.
Since a triangle's angles always equal to 180° and we have the answer to two angles in △XVW, all we need to do is add then subtract;
67° + 57° = 124°
180° - 124° = 56°
And that is your answer!
∠VXW = 57°
∠XVW = 56°
Answer:
0.0786
Step-by-step explanation:
It is given that Bartholemew had drawn the replacement of 160 tickets.
There are five tickets = [0, 0, 0, 1, 2]
Now we need to find the estimate of the ticket that has 1 on it and it turns up on the 32 draws exactly.
Since the probability of the drawing 1 out of 5 tickets is given by, 
So the binomial with the parameter of n = 160 and p = 0.2, we get
P (it turns up on exactly 32 draws) = P(X = 32)
Therefore,

= 0.0786