Answer:
[tex]k = 0.5[/tex]
Step-by-step explanation:
Given
[tex](x,y) = (6,3)[/tex]
Required
Determine the constant of variation
Since it is a direct variation, the following relationship exists:
[tex]y = kx[/tex]
Where k represents the constant.
Substitute 6 for x and 3 for y
[tex]3 = k * 6[/tex]
[tex]3 = 6k[/tex]
Make k the subject
[tex]k = \frac{3}{6}[/tex]
[tex]k = 0.5[/tex]
Hence, the constant of variation is 0.5
Jill would like an increase in the hourly wage she receives from the Mathematics Research Center, where she works in the mail room. Her boss gives her an equation to solve, telling her that her raise is the solution to the equation, but only if she can solve it. The equation is x 2- 6x + 9 = 0. What was the amount of her raise per hour? Answer:
Answer:
Her raise per hour is $3.
Step-by-step explanation:
Quadratic Equation
The standard representation of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
It can be solved by using the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Jill asks for an increase in the hourly wage she receives. Since she works in a Maths Center, the increase comes as a maths equation.
She must solve the equation:
[tex]x^2-6x+9=0[/tex]
The solution to the equation is the increase in her hourly wage.
Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:
[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]
[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]
Since the square root is 0, there is only one solution:
[tex]\displaystyle x=\frac{6}{2}=3[/tex]
x = 3
Thus, her raise per hour is $3.
Evaluate 15 squared show work
Answer:
225
Step-by-step explanation:
15x15=225
There is a cool trick you can do. Lets take 28 and square it.
First you round the number up. 28 rounded is 30. You rounded up by 2 (30-28=2) so you minus 2 from 28.
You are left with these two numbers, 26 and 30. Add a zero to the 26.
You now have 260 and 3 (you remove 0 on the 30 since you added it to the 26)
Then you multiply by 3.
260x3=780
Then you add the square of the number you rounded up too, which is 2.
You are left with this equation.
(2^2)+780= 784
28x28=784.
This works for numbers below 100 and integers
after she drinks coffee, she reads_____.she checks her homework. A,Because B,Hence C,Next D,Before
because it is a good answer
Which of the numbers shown in the box below is the largest? 19/3, 31/5, 13/2, 25/4 pls help urgent
Answer: i think they are all the exact same 6 with a remainder of 1
Step-by-step explanation:
1/6 foot = how many inches
please help if you have the right answer
Answer: 2 inches
Step-by-step explanation:
1 foot=12 inches
1/6=1/6 foot
12/6=2 inches in 1/6 foot
I'm need help with this calculus question.
What is cos(5*20*34)?
Answer:
0.699
Step-by-step explanation:
cos(5*20*34)
cos(3400)
0.699
Lacey is buying a new car. She can get a station wagon, a truck, a hatchback, or a convertible. The outside paint comes in yellow or green. The seats can be covered with white leather or gray fabric. Given these choices, how many different combinations does Lacey have to choose from?
Step-by-step explanation:
4 different vehicles,
2 different paints,
2 different seats.
Total number of combinations = 4 * 2 * 2 = 16.
Solve the system of equations using ANY method.
y = 4x - 9
y = 2x + 5
y inter y = 4x - 9. X inter y =4x - 9
y = 4[0] -9. y = 4x - 9
y= -9. 9 ÷ 4 = 4x ÷ 4
x = 2 ¼
y inter y =2x + 5. X inter y =2x + 5
y =2x + 5. y=2x + 5
y =2[0] +5. -5 ÷2 =2x ÷2
y=>5. X= 2½
what is 48.75% of 204..............
On a piece of paper, graph y= -2x - 3. Then determine which answer
matches the graph you drew.
Benson is building cabinets he can build 1 1/2 cabinets in 3/4 hour how many cabinets can he build in one hour
Answer:
2
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]
cross-multiply: 6x = 12
x = 2
Answer:
2 cabinets
Step-by-step explanation:
In 3/4 hour he builds 1 1/2 cabinets.
1/4 hours is 1/3 of 3/4 hour.
In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.
In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.
Answer: 2 cabinets
Evaluate p + 2 for p = -8.
Answer:
-6
Step-by-step explanation:
Help please.....its due today
Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow.
Answer:
Step-by-step explanation:
Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow. Cash receipts Cash payments July $ 24,600 28,900 August $32,600 30,600 September $ 40,600 32,600 Prepare a cash budget for July, August, and September. (Negative balances and Loan repayment amounts (if any) should be indicated with minus sign. Round your final answers to the nearest whole dollar.) KARIM CORP. Cash Budget For July, August, and September July August $ 9,000 September Beginning cash balance Total cash available Preliminary cash balance Ending cash balance Loan balance $ 0 Loan balance - Beginning of month Additional loan (loan repayment) Loan balance - End of month
help me pls ill mark brainly
Answer:
First step: 8% as a decimal is 0.08 if you move the decimal of 8 twice to the left.
Second step: I think it would be 0.08 x 25.
Third step: 2. I'm pretty sure there are 2 people that wear glasses in his class because 0.08 times 25 is 2.
Fourth step: Friendly percent is 10%. It is always even.
Hope this helps!
MY NOTES ASK YOUR TEACHER Jack has decided to advertise the sale of his car by placing flyers in the student union and the dining hall of the college. He estimates that there is a probability of 0.4 that a potential buyer will read the advertisement and that, if it is read, the probability that the reader will buy his car will be 0.1. Using these estimates, find the probability that a potential buyer will read the ad and will buy Jack's car.
Answer:
The probability that a potential buyer will read the advert and will buy Jack's car is 0.04
Step-by-step explanation:
Estimate 1: There's a 0.4 probability that a potential buyer will read the advert.
Estimate 2: There's a 0.1 probability that whoever reads the advert will buy his car.
- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.
- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.
- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.
- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1
In the calculation of probability, "and" represents multiplication. Hence,
0.4 × 0.1 = 0.04
40:10 = 12 :
Equivalent ratio
Gas prices at a gas station rose from $2.50/gallon to $3.25/gallon. What is the percent of increase in the gas prices?
Answer:
30%
Step-by-step explanation:
3.25 minus 2.50 equals 0.75. 0.75 is 30 percent of 2.50.
Solve:
-3(1 + 4x) = 33
x =
Solve:
-4(-6y – 3) = 12
y =
Solve:
-(x – 8) = -2
x =
Solve:
−3(4r − 8) = −36
r =
Solve:
6(−x − 3) = 24
x =
Solve:
3(x − 2) = 18
x =
Solve:
2(4x + 4) = 24
x =
Please help
Answer:
−
3
(
1
+
4
)
=
3
3
Step-by-step explanation:
Answer:
1: -3
2: 24
3: 10
4: 5
5: -7
6: 8
7: 2
Step-by-step explanation:
hope this helps:)
PLZ HELP
Do the ones you know!
How would I write f(x) = -4(x-2)+ 7 in standard form
Answer:
The standard form of the given equation is f(x) = 0x²-4x+15=0
Step-by-step explanation:
The standard form is ax²+bx+c=0
Given f(x) = -4(x-2)+ 7
we can write the standard form
= 0x² -4(x-2)+7 =0
⇒ 0x² -4x +8 +7 =0
⇒ 0x² -4x + 15 =0
now comparing the standard form ax²+bx+c=0
a = 0 , b= -4 and c =15
please answer 44 mins remaining
Answer:
y=x-2
Hope this helps.
please help me!!!
asap please please please
Answer:
I'm pretty sure its the 3rd answer
Answer:C
Step-by-step explanation:
For every white square there is 3 blue squares, so you look around the white swuare and around each white square is 3 blue squares
Show solutions please
Answer:
1. Their ages are:
Steve's age = 18
Anne's age = 8
2. Their ages are:
Max's age = 17
Bert's age = 11
3. Their ages are:
Sury's age = 19
Billy's age = 9
4. Their ages are:
The man's age = 30
His son's age = 10
Step-by-step explanation:
1. We make the assumption that:
S = Steve's age
A = Anne's age
In four years, we are going to have:
S + 4 = (A + 4)2 - 2 = 2A + 8 - 2
S + 4 = 2A + 6 .................. (1)
Three years ago, we had:
S - 3 = (A - 3)3
S - 3 = 3A - 9
S = 3A - 9 + 3
S = 3A – 6 …………. (2)
Substitute S from (2) into (1) and solve for A, we have:
3A – 6 + 4 = 2A + 6
3A – 2A = 6 + 6 – 4
A = 8
Substitute A = 8 into (3), we have:
S = (3 * 8) – 6 = 24 – 6
S = 18
Therefore, we have:
Steve's age = 18
Anne's age = 8.
2. We make the assumption that:
M = Max's age
B = Bert's age
Five years ago, we had:
M - 5 = (B - 5)2
M - 5 = 2B - 10 .......................... (3)
A year from now, it will be:
(M + 1) + (B + 1) = 30
M + 1 + B + 1 = 30
M + B + 2 = 30
M = 30 – 2 – B
M = 28 – B …………………… (4)
Substitute M from (4) into (3) and solve for B, we have:
28 – B – 5 = 2B – 10
28 – 5 + 10 = 2B + B
33 = 3B
B = 33 / 3
B = 11
If we substitute B = 11 into equation (4), we will have:
M = 28 – 11
M = 17
Therefore, their ages are:
Max's age = 17
Bert's age = 11.
3. We make the assumption that:
S = Sury's age
B = Billy's age
Now, we have:
S = B + 10 ................................ (5)
Next year, it will be:
S + 1 = (B + 1)2
S + 1 = 2B + 2 .......................... (6)
Substituting S from equation (5) into equation (6) and solve for B, we will have:
B + 10 + 1 = 2B + 2
10 + 1 – 2 = 2B – B
B = 9
Substituting B = 9 into equation (5), we have:
S = 9 + 10
S = 19
Therefore, their ages are:
Sury's age = 19
Billy's age = 9.
4. We make the assumption that:
M = The man's age
S = His son's age
Therefore, now, we have:
M = 3S ................................... (7)
Five years ago, we had:
M - 5 = (S - 5)5
M - 5 = 5S - 25 ................ (8)
Substituting M = 3S from (7) into (8) and solve for S, we have:
3S - 5 = 5S – 25
3S – 5S = - 25 + 5
-2S = - 20
S = -20 / -2
S = 10
Substituting S = 10 into equation (7), we have:
M = 3 * 10 = 30
Therefore, their ages are:
The man's age = 30
His son's age = 10
If LM = MP, then M must be the midpoint of LP? True or False? Im so confused on this!
Answer:
true
Step-by-step explanation:
if you have a line LP and midpoint M means M divides LP in to two equal parts ie LM and MP
2 3/4 2 11/12 in simplist form
Answer:
2 9/12 and 2 11/12
Step-by-step explanation:
if that is what u are asking. simplist form is 2 3/4 and 2 11/12.
Hope that helps and good luck :)
The wages of 5 men and 6 boys amount to $114 per day. The wages of 7 men and 8 boys amount to $157 per day. Find the daily wages each man and each boy.
Answer:
let the wages of men and boys be x and y respectively
then
5x+6y = 114
7x + 8y = 157
multiplying equation first by 4 and second by three and subtracting equations
20x + 24y = 456
21x + 24y =471
-x = -15
x= 15 men wages
substituting value of x in equation
5x + 6y = 114
5*15 + 6y = 114
6y = 114 -75
6y = 39
y = 6.5 each boys wages
Step-by-step explanation:
Choose a true statement
g(x) is not a function because f(x) is not a
function.
g(x) is not a function because f(x) is not one-
to-one.
gx) is a function because f(x) is one-to-one.
g(x) is a function because f(x) is not one-to-
O
one.
I think it is the first one
Answer:
Keep it simple: part one. D, part two. C
Step-by-step explanation:
If the trip is 865 miles about how many miles will David drive
Answer:
865
Step-by-step explanation:
the trip is 865 miles so that is how many miles he will drive
Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save.
Answer:
75.23=10.27x
Step-by-step explanation:
x will represent how many months Luis will save and it will equal 75.23. To find the value of x, divide 10.27 on both sides and get x=7.32. That means Luis will need to earn 10.27 for 7.32 months to get Jordans.