Answer:
An equation modeling the situation is : 4 m + 6 n = 180
Step-by-step explanation:
Here, the total number of guests in the banquet hall = 180
Let us assume number of tables ordered with capacity of
4 people each = m
And number of tables ordered with capacity of 6 people each = n
So, total number of people in m tables = m x ( Capacity of 1 table)
= m x (4) = 4 m
And, total number of people in n tables = n x ( Capacity of 1 table)
= n x (6) = 6 n
So, the total capacity of ( m + n) tables = 4 m + 6 n
Also, the total required capacity = 180
⇒ 4 m + 6 n = 180
Hence, an equation modeling the situation is : 4 m + 6 n = 180
Answer:
The three numbers are 341, 342, and 343
Step-by-step explanation:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 1026
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 1026
3X + 3 = 1026
3X + 3 - 3 = 1026 - 3
3X = 1023
3X/3 = 1023/3
X = 341
Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.
341 + 342 + 343 = 1026
We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.
Betina is 155 centimeters tall or 1 meter and 55 centimeters
1 meter = 100 centimeters
100 + 87 = 187 , Brian’s height in centimeters
Since Bonnie is 58 centimeters shorter we will subtract 187-58 which gives us 129 centimeters.
Betina is 26 centimeters taller than Bonnie so we add 26+129 =155
Therefore Betina is 155 centimeters tall or 1 meter and 55 centimeters.
Hope this helped! :)
Answer:
try to use socratic
Step-by-step explanation:
Where is the number line I can't solve without it
