Answer:
-2.9
Step-by-step explanation:
-10x + 1 + 7 = 37
Combine like factors.
-10x + 8 = 37
Subtract 8 from both sides.
-10x = 29
Divide both sides by -10.
x = -2.9
Answer:
Angle TSW = angle UTV because they are corresponding congruent angles.
Angle STW = angle TUV because they are corresponding congruent angles.
Triangle STW is congruent to triangle TUV because of the Angle-Angle-Side Similarity theorem.
Answer: 1) 5040 and 2) 165
Step-by-step explanation:
1) Here total number of letters = 10
The number of permutations that can be formed using 4 letters at a time
= P (10, 4)
= 
= 
= 
= 
= 10 × 9 × 8 × 7
= 5040
2) Here the total number of machine = 11
The different combinations of machines can Geoff choose from to use
= 
= 
= 
= 
= 11 × 5 × 3
= 165
The answer would be Nine.
Answer:
xy < 60
Where x is the amount of subscription per month and y is the number of months
Step-by-step explanation:
Given Anna wants to spend less than $60 for the subscription
Let the amount of subscription per month be x
Let the number of months which Anna can enjoy her music be y
The total amount of money spent by Anna on subscription = ( The amount of subscription per month )( Number of months )
Total amount = xy
Given total amount < 60
So xy < 60
Therefore the above is the inequality recquired.
