A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that the lodging and dinner costs per night are the same for both plans, how much does one dinner cost?
Answer:
$37
Step-by-step explanation:
Plan A: 4n + 3d = 467
Plan B: 5n + 4d = 593
4n + 3d = 467
4n = 467 - 3d
4n/4 = 467/4 - 3d/4
n = 116.75 - 3/4d
5n + 4d = 593
5(116.75 - 3/4d) + 4d = 593
583.75 - 3.75d + 4d = 593
0.25d = 593 - 583.75
0.25d = 9.25
0.25d/0.25 = 9.25/0.25
d = 37
PLZZ HELP !! Select the correct answer. What are the zeros of the function y= (x-4)(x^2 - 12x+36)
A. -6,4 and 6
B. 4 and 6
C. -6 and -4
D. 0, 4, and 6
The zeroes of any function are where the function touches or passes through the x-axis.
To find these zeroes, we can factor, and set each part equal to 0.
y = (x - 4)(x^2 - 12x + 36)
It looks like some of the factoring was already done for us! All we have to do is factor the quadratic. To do so, we need two numbers that multiply to equal (a * c) and add up to b. In this case those two numbers are -6 and -6.
y = (x - 4)(x - 6)(x - 6)
Finally, set each part equal to 0!
x - 4 = 0
x = 4
x - 6 = 0
x = 6
x - 6 = 0
x = 6
Therefore, the zeroes of the function are 4 and 6, option B.
Hope this helps!! :)
Find the value of each variable.
Enter 72% as a fraction in the simplest form
Answer:
18/25
Step-by-step explanation:
72% = 72/100
72/100 simplified
=18/25
I need help bad!!! Please help!
Answer:
Both Question (bottom right corner)
Step-by-step explanation:
Question 2 is obviously a variable because the amount of goals you can score in a game varies, one game it could be 10 then next it could be 5, But for question 1 the amount of work hours she puts in, (assuming she choses when to work and when not to) is also a variable because the amount she works varies from day to day.
Both these examples how data that varies from day to day.
Hope this helps!
Hamda and Layla get paid per project.
Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.
Layla is paid a project fee of AED 18 plus AED 14.25 per hour.
Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Show your steps
Answer:
[tex]Company: 43 + 24.75h[/tex]
Step-by-step explanation:
Given
Hamda:
[tex]Project\ Fee = 25[/tex]
[tex]Hourly\ Rate = 10.50[/tex]
Layla:
[tex]Project\ Fee = 18[/tex]
[tex]Hourly\ Rate = 14.25[/tex]
Required
Derive an expression for total pay
Represent the number of hours with h.
For Hamda and Layla, their pay for h hours is:
[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]
For Hamda, we have:
[tex]Hamda : 25 + 10.50 * h[/tex]
[tex]Hamda : 25 + 10.50 h[/tex]
For Layla, we have:
[tex]Layla: 18 + 14.25 * h[/tex]
[tex]Layla: 18 + 14.25 h[/tex]
For h hours, the company will pay:
[tex]Company: Hamda + Layla[/tex]
[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]
Collect like terms
[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]
[tex]Company: 43 + 24.75h[/tex]
The students at Job's high school
were surveyed to determine their
favorite foods. The results are shown
in the table below. Suppose students
were randomly selected and asked
what their favorite food is. Find the
probability of each event. Write as a
fraction in simplest form.
Favorite Food Responses
Pizza 19
Steak 8
Chow-mein 5
Seafood 4
Spaghetti 3
Cereal 1
16. P(steak)
17. P(Spaghetti)
18. P(cereal or seafood)
19. P(not chow-mein)
19. P(pizza)
20. P(cereal or steak)
21. P(not steak) 22. P(not cereal or seafood)
23. P(chicken) 24. P(chow mein or spaghetti)
Simplify the expression: 12x+3x+4x
Answer:
19x
Step-by-step explanation:
12+3+4=19
19x
Answer:
12x+3x+4x=19x
Step-by-step explanation:
Dawn has two bank accounts she has been using to save money for a car. The difference between account A and account B is $100. If she uses StartFraction 3 Over 8 EndFraction of account A and StartFraction 7 Over 8 EndFraction of account B, Dawn will have a down payment of $2000. Choose the statements that are true when solving for the amount Dawn has in each account. Check all that apply.
One of the equations that represents this scenario is A – B = 100.
One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
To eliminate the A variable, multiply the first equation by 3 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by –8.
Answer:
1) One of the equations that represents this scenario is A – B = 100.
2)One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
4) To eliminate the B variable, multiply the first equation by 7 and the second by 8.
Step-by-step explanation:
Answer:
a b and d
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
$4x-5$ is less than 25$
HELP MEEEEE this is so harddd. the picture is above.
Answer:
A)
Step-by-step explanation:
V=1/3([tex]\pi[/tex]r²)h
3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side
3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)
3V/(πr²)=h is the final answer so that matches A
i hate math whats 5 + 5
ANSWER FAST PLS HAVE 5 MIN FOR THIS
Employees of a painting service paint the interior walls of homes and office buidings.
The following table shows the number of cons of point the employees use, and the
number of square feet they cover.
Cans of paint
3
Area painted (square feet) 375
1125 1500
Which equation describes the relationship between the number of cons of paint
used, and the number of square feet that are covered?
1
2
750
A
y = 375x + 375
B
y=+*
375
y = 50x + 325
D
y = 375x
Answer:
Y=375x
Step-by-step explanation:
thats the answer
Help plis
17. Find the sum of (10x + 3) and (- 4x - 2).
Answer:
6x + 1
Step-by-step explanation:
1. (10x + 3) + (-4x -2) --> sum means to add.
2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.
3. 6x + 1
Four co-workers contributed $2.58, $10.20, $19.89, and $12.89 respectively to purchase a retirement gift for their boss. What is the maximum amount they can spend on a gift?
Answer:
the answer is $45.56!
Step-by-step explanation:
you just have to add all of there amounts to find how much money they have
Compare 0.55 ____ 0.525 using , or =
Answer:
0.55 > 0.525
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.55=0.550
0.550>0.525
so 0.55>0.525
SECTION B.
7. After 12 years Raghav will be three times as old he was four years ago. Find his present age.
29) Which equation describes this graph?
graph that contains the points (-2,0) and (8,-10)
A. y=−2x−2
B. y=2+x
C. y=−x
D. y=−2−x
PLEASE NEED HELP aS FASt
Answer:
The second choice
Step-by-step explanation:
The second choice is correct because:
1.5*4=6
Jasper Diaz apostrophe Balance Sheet. Total assets are 15,800 dollars. Total liabilities are 4,400 dollars.
Consider Jasper’s balance sheet.
What is the total value of Jasper’s assets?
What is the total value of Jasper’s liabilities?
Answer:
the total value of jaspers assets is: $15,800
the total value of jaspers liabilities is: $4,400
Step-by-step explanation:
Answer:
the total value of jaspers assets is: $15,800
the total value of jaspers liabilities is: $4,400
Step-by-step explanation:
hope this helps :D
Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?
Answer:
58.50
Step-by-step explanation:
4.012+ S equals 5.313
Answer:
S= 1.301
Step-by-step explanation:
5.313-4.012=S
Tina is ordering pizza for a party.Peats pizza is offering a special of 4 pizza for $26. Pizza palace is selling 10 pizza for $75. If Tina need to order 40 pizza, should she order 10 orders of the 4-pizza deal or 4 orders of the 10-pizza deal?
Answer:
She should order 10 orders of the 4-pizza deal from Peat's Pizza
Step-by-step explanation:
Peat's Pizza deal:
4 x 10 = 40 | 26 x 10 = 260 | so if you choose the Peat's Pizza deal then Tina would have to pay $260.
Pizza Palace deal:
10 x 4 = 40 | 75 x 4 = 300 | so if you choose the Pizza Palace deal then Tina would have to pay $300.
Hope this helps :D
what is $7.50 with a added 6% sales price.
Answer:
0.0125 dollars per sales
hope this helps
Step-by-step explanation:
Answer:
7.89 i believe i looked it up
If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?
Answer: It would be 43 mittens
Step-by-step explanation:
find the surface area of the triangular prism help plzzz
Answer:
790 m^2
Step-by-step explanation:
well in the figure we have to areas
the rectangle of the side (2)the triangle (2)the rectangle of the base (1)the rectangle of the side
well the area of the rectangle is base times height
we have a base of 11 and a height of 17
[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]
the triangle
well the area of a triangle is base times height over 2
we have a base of 16 and a height of 15
[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]
the rectangle of the base
we have a base of 16 and a height of 11
so
[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]
so the total area is
[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]
so that's our answer the surface area is 790 m^2
PLEASE SOMEONE I REALLY NEED HELP THIS IS DUE TODAY!!!!!!!!!!
Carla paints 34 of the fence in 1 hour. Which rates are equivalent to Carla’s rate of painting? SELECT ALL THAT APLLY.
A) 3/10 hour to complete 2/5 of the fence
B) 4/5 hour to complete 3/5 of the fence
C) 2/3 hour to complete 1/2 of the fence
D) 9/4 hour to complete 1/3 of the fence
Ivy and Andrey were asked to find an explicit formula for the sequence -100,-50,0,50,...−100,−50,0,50,...minus, 100, comma, minus, 50, comma, 0, comma, 50, comma, point, point, point, where the first term should be f(1)f(1)f, left parenthesis, 1, right parenthesis.
Ivy said the formula is f(n)=-100+50(n-1)f(n)=−100+50(n−1)f, left parenthesis, n, right parenthesis, equals, minus, 100, plus, 50, left parenthesis, n, minus, 1, right parenthesis.
Andrey said the formula is f(n)=-150+50nf(n)=−150+50nf, left parenthesis, n, right parenthesis, equals, minus, 150, plus, 50, n.
Which one of them is right?
Answer:
both
Step-by-step explanation:
Johnny gets $40 per week as an allowance. If he goes to the movies and spends $3 for popcorn and $5 on soda, what percent of his allowance did he spend? *
Mikhael wanted to rewrite the conversion factor "1 yard ≈ 0.914 meter" to create a conversion factor to convert meters to yards. Complete the explanation to tell how Mikhael should finish his conversion. If necessary, round to three decimal places.
(select)
1 yard by 0.914 m gives the rate of yards per meter. So 1 meter ≈
yards.
plz need help
Answer:
[tex]1\ meter = 1.094\ yard[/tex]
Step-by-step explanation:
Given
[tex]1\ yard = 0.914\ meter[/tex]
Required
Create a convert meter to yard expression
[tex]1\ yard = 0.914\ meter[/tex]
Divide both sides by 0.914
[tex]\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}[/tex]
[tex]\frac{1\ yard}{0.914} = 1\ meter[/tex]
[tex]1.09409190372\ yard = 1\ meter[/tex]
[tex]1\ meter = 1.09409190372\ yard[/tex]
[tex]1\ meter = 1.094\ yard[/tex] --- approximated
Answer:
Step-by-step explanation: