6/x= -2/18
Cross multiply. ( Multiply the numerators together ) . ( Multiply the denominators together (.
6*18= - 2*x
108= -2x
Divide by -2 for 108 and -2x
108/-2= -2x/2
x= -54
Answer: x= -54
The inequality representation of the scenario is :
- 5m + 8c ≤ 25
- m = 1 and c = 1
- Number of mugs = m
- Cost per mug = $5
- Number of ground coffee = c
- Cost per ground coffee = $8
- Total amount to spend = $25
- (Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend
- Representing as an inequality : 5m + 8c ≤ 25
Combination of m and c that makes the inequality true :
- Using trial by error :
- m = 1 and c = 1
- 5(1) + 8(1) ≤ 25 ; 13 ≤ 25
Hence, m = 1 and c =1 are valid values for the expression.
Learn more : brainly.com/question/15748955
Answer:
6:10pm
Step-by-step explanation:
At 6:00 the hands are 180° apart.
The hour hand moves 1/12 of circle per hour = 30° per hour = 0.5° per minute.
The minute hand moves 1/60 of the circle per minute = 6° per minute
Angle between the hands decreases by 6-0.5 = 5.5° per minute.
180 - 5.5t = 125
t = 125/5.5 = 10 minutes
The hands are 125° apart at t minutes after 6:00, or 6:10.
The rate per minute (speed per minute) = 174/3 = 58 words/minute
In 1 minute he can type 58 words, in 8 minutes he can type 8 times more:
58 x 8 = 464 words in 8 minutes