Hey :)
x= -12
Use the distributive property to multiply −4 by 2x+13
−8x−52=3x+80
Subtract 3x from both sides
−8x−52−3x=80
Combine −8x and −3x to get −11x
−11x−52=80
Add 52 to both sides
−11x=80+52
Add 80 and 52 to get 132
−11x=132
Divide both sides by −11
x= 132/-11
Divide 132 by −11 to get −12
x=−12
Hope this helps :)
Given:
A figure of a right angle triangle.
To find:
The value of Tan R.
Solution:
Trigonometric Ratio: In a right angle triangle,
Using the above trigonometric ratio in the given triangle, we get
Therefore, the correct option is C.
Answer: 3.84 · 10^5
Step-by-step explanation:
Answer:
180 hamburgers
120 hotdogs
Step-by-step explanation:
In this question, we are asked to calculate the number of hamburgers and hotdogs sold by a company given the amount made by them and the total number of these snacks sold
We proceed as follows;
Let the amount of hotdogs sold be x and the amount of hamburgers sold be y.
We have a total of 300 snacks sold, mathematically;
x + y = 300 ..........(I)
Now let’s look at the prices.
x number of hotdogs sold at $2, this give a total of $2x hotdogs
y number of hamburgers sold at $3, this give a total of $3y.
Adding both to give total, we have ;
2x + 3y = 780.......(ii)
This means we have two equations to solve simultaneously. From equation 1, we can say x = 300 -y
Now let’s insert this in the second equation;
2(300-y) + 3y = 780
600-2y + 3y = 780
y = 780-600 = 180
Recall; x + y = 300
x = 300 -y
x = 300-180 = 120
Step-by-step explanation:
Distance = rate × time
If B is the rate of the boat, and C is the rate of the current, then we can write two equations:
18 = (B + C) × 3
18 = (B − C) × 9
Simplifying the equations:
6 = B + C
2 = B − C
Add the equations together to eliminate C:
8 = 2B
B = 4
Plug into either equation to find C:
C = 2
The boat's rate is 4 mph, and the current's rate is 2 mph.
