Answer:
x = -6
Step-by-step explanation:
You can insert the second equation in for the y-variable in the first equation
x + 4(2x+14) = 2
The next step is to distribute the 4
x + 8x + 56 = 2
Then we combine like terms
9x + 56 = 2
Subtract 56 from both sides
9x = -54
Divide by 9 on both sides
x = -6
Answer:
The speed of the current is 2 miles per hours
Step-by-step explanation:
Given as :
The speed of motorboat = x = 15 miles per hour
The time taken by motorboat trip upstream = 51 minutes
The time taken by motorboat trip downstream = 39 minutes
Let The speed of the current = y miles per hour
Let The total distance cover = A miles
So ,
Speed = 
So, x - y =
I.e 15 - y =
And x + y =
I.e 15 + y =
=
I.e
=
Or, 17 × (x - y) = 13 × (x + y)
Or, 17 x - 17 y = 13 x + 13 y
Or, 17 x - 13 x = 13 y + 17 y
Or, 4 x = 30 y
Now, ∵ x = 15 miles per hour
So, 4 × 15 = 30 y
Or, y =
∴ y = 2 miles per hour
Hence The speed of the current is 2 miles per hours Answer
Answer:
x = 16
∠A = 39
∠B = 54
∠C = 87
Step-by-step explanation:
Make a equation of all of the angles added together is equal to 180 since the angles of a triangle added together is 180
(4x-10)+(2x+7)+(7x-25)=180
combine like terms
4x+2x+7x-10+7-25 = 180
13x-28=180
solve for x
13x=208
x = 16
plug in x to find the measure of the angle
∠A = 2(16) + 7 = 39
∠B = 4(16) - 10 = 54
∠C = 7(16) - 25 = 87
Add them together to double check your answer
39 + 54 + 87 = 180
hope this helps
To solve this, we simply add up the total amount of money she spent that day:
21.50 + 10.58 + 5.88 + 7.51 + 2.95 = 48.42
50 - 48.42 = 1.58
She was $1.58 under the average.