For the total cost to be equal, the volleyball team must buy 10 T-shirts from each company at $105.
Answer:
66
Step-by-step explanation:
since BD and BC are congruent, angle C and angle D are equal. this means 6x-9=3x+24. If you solve this equation you get x=11. If you plug it into either 6x-9 or 3x+24 you get 57. 180-(57+57)=66
Answer:
The number is 27
Step-by-step explanation:
Let the 10s digit be x
Let the units digit be y
y = x + 5
10x + y = 3(x + y) Remove the brackets
10x + y = 3x + 3y Substitute the x + 5 into the second equation for y
10x + x + 5 = 3x + 3(x + 5) Remove the brackets on the right.
10x + x + 5 = 3x + 3x +15 Collect like terms on each side.
11x + 5 = 6x + 15 Subtract 5 from both sides
11x + 5 - 5 = 6x + 15 - 5 Collect like terms
11x = 6x + 10 Subtract 6x from both sides
11x - 6x = 6x - 6x + 10
5x = 10 Divide by 5
5x/5 = 10/5
x = 2
y = x + 5
y = 2 + 5
y = 7
Answer:
C) 3x - 6
Step-by-step explanation:
Let the unknown number be represented by placeholder x.
Then the product of 3 and the number is represented by 3*x or 3x.
This value diminished by 6 corresponds to 3x-6.
So the expression representing the required overall construct mathematically is given by 3x-6
Option a, 6x-3 represents the difference of 6 times x and 3.
Option b, 3-6x represents the difference of 3 and (6 times x).
Option d, 6-3x represents the difference of 6 and (3 times x).
