I would say its 3/4 because there was only one blue and all together there is 4 now and the probability of picking a purple should be 3 out of 4.
<u>Answer-</u> C. For every extra person served, the time it takes to prepare a meal increases by 7 minutes.
<u>Solution- </u>
<em>y = 7x+25</em>
Where y = the number of minutes it takes to prepare a meal
x = the number of people being served.
If the number of persons increased by one, so x' = (x+1)
Then y' = 7x' + 25 = 7(x+1) + 25 = 7x + 7 + 25 = 7x + 25 + 7 = y + 7
∴ As y gets increased by 7 for every 1 more person , so C is the correct answer.
Answer:
D. 105 students and 150 guests
Step-by-step explanation:
105 students and $1 for each ticket is $105.(105 x 1 = 105)
150 guests and $5 for each ticket is $750.(150 x 5 =750)
$105 + $750 = $855
STEP 1:
determine equations needed
x= # of $10 tickets
y= # of $14 tickets
QUANTITY EQUATION
x + y= 800
COST EQUATION
$10x + $14y= $9,040
STEP 2:
multiply quantity equation by -14
-14(x + y)= -14(800)
-14x - 14y= -11,200
STEP 3:
add new quantity equation in step 2 to cost equation of step 1 to solve for x using elimination
-14x - 14y= -11,200
10x + 14y= 9040
y term cancels out
-4x= -2160
divide both sides by -4
x= 540 ten dollar tickets
STEP 4:
substitute x value in step 3 into either original equation
x + y= 800
540 + y= 800
subtract 540 from both sides
y= 260 fourteen dollar tickets
ANSWER: There were 540 $10 tickets and 260 $14 tickets sold.
Hope this helps! :)
Let's set the original price as x.
1/4 off the original price would be
x-1/4x=3/4x
Set it equal to 75
3/4x=75
3x=300
x=100
The original price was $100.
Hope this helps!
