Divide total spent by price per ticket:
47.50 / 9.50 = 5
5 tickets were purchased.
Mariko and her friend spent $24.50 on
lunch. Their lunches cost the same amount,
and they used a $4 off coupon. Determine
the cost of each lunch.
The cost: $14.25
Equation: 24.5=2c-4
The cost of each lunch is $10.25.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given;
Mariko and her friend spent $24.50 on lunch.
Their lunches cost the same amount,
and they used a $4 off coupon.
That means,
they spent = 24.5 - 4
= 20.50
And 20.50 divided by 2,
we get,
20.50/2
= 10.25
Therefore, $10.25 is the cost of each lunch.
To learn more about the division;
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The area of a rectangle is 125 ft. The ratio of the width to the length is 1:5. Find the length and width.
Answer:
Length of the rectangle = 25 ft
Width of the rectangle = 5 ft
Step-by-step explanation:
Ratio of the width to the length is 1:5
So, let
Width = x
and length = 5x
Area of the rectangle = 125
[tex]x \times 5x = 125 \\ \\ 5 {x}^{2} = 125 \\ \\ {x}^{2} = \frac{125}{5} \\ \\ {x}^{2} = 25 \\ \\ x = \sqrt{25} \\ \\ x = 5 \: ft \\ \\ 5x = 5 \times 5 = 25 \: ft[/tex]
Length of the rectangle = 25 ft
Width of the rectangle = 5 ft
The length and the width of the rectangle are 25 ft and 5 ft respectively.
How to find the area of a rectangle?The area of a rectangle can be found by using the following formula:
Area = length * width
Let the constant be x, therefore the length is 5x and the width is x.
Area = length * width
125 = 5x*x
⇒125 = 5x²
⇒x² = 25
⇒x = √25
⇒x = 5
We can substitute the value of x to find the length and the width:
Length = 5x = 5*5 = 25 ft
Width = x = 5 ft
Thus, we have found the length and width of the rectangle to be 25 ft and 5 ft.
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-.25z=-1.25 What is Z?
Answer:
z=5
Step-by-step explanation:
PLEASE HELP I WILL LITERALLY CASHAPP YOU IF YOU CAN ANSWER THIS CORRECTLY THIS IS NOT A JOKE
the members of a middle school Business Club want to raise money to attend a conference for young entrepreneur is so far the club has raised $450 members suggest a few new ideas Gina suggest that the club hold a carwash of Club will need to spend $30 on cleaning supplies before making a profit Gina present her plan to the club using the table below make a graph of the data to show the relation
*please include a graph of the data
part b: is the relation a function? if so write an equation for the function.
Answer:
f(x) = 5x - 30
Yes it is a function
Step-by-step explanation:
Because when you input 0 you get -30 we know it starts at 0 or (0,-30). This gives us b in the equation y = mx + b.
We know that for every 4 cars washed it increases by 20. So 20/4 is 5. This tells us m = 5.
Plug it all in and you get y = 5x - 30 or f(x) = 5x - 30
Joe earned $25500 per annum and received a 6.35% raise. How much does he earn now?
Answer:
1619.25
Step-by-step explanation:
25500 x 6.35 % = 1619.25
Suppose someone takes out a home improvement loan for $30000. The annual interest on the loan is 6% and is compounded monthly. The monthly payment is $600. Let a denote the amount owed at the end of the nth month. The payments start in the first month and are due the last day of every month - this means in a given month interest is added first, and then the payment is applied to the resulting loan Balance.
a. Give a recursive definition for a,. including the recurrence relation and the base case.
b. Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month?
Answer:
a) Initial (Base) a[tex]_0[/tex] = 30000
b) the monthly payment needs to $150
Step-by-step explanation:
Given the data in the question;
a. Give a recursive definition for a,. including the recurrence relation and the base case.
the annual interest on the loan is 6% compounded monthly;
⇒ i = 6% / 12
i = 0.5%
so, the recurrence relation is a[tex]_n[/tex] = a[tex]_{n-1}[/tex]( 1 + i/100) - 600
Here Initial (Base) a[tex]_0[/tex] = 30000
b) Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month
Let p be the required monthly payment,
then the condition will be; a[tex]_n[/tex] ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - p ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - a[tex]_{n-1}[/tex] ≤ p
a[tex]_{n-1}[/tex]( 1 + i/100 - 1) ≤ p
a[tex]_{n-1}[/tex]( i/100 ) ≤ p
a[tex]_{n-1}[/tex] ≤ p ( 100/i )
a[tex]_{1-1}[/tex] ≤ p ( 100/0.5 )
a[tex]_0[/tex] ≤ p (200)
we know that; a[tex]_0[/tex] = 30000
so
30000 ≤ p (200)
p ≤ 30000 / 200
p ≤ 150
Therefore, the monthly payment needs to $150
when comparing data quickly, it’s best to use a
A. bar graph
B. pie graph
C. line graph
D. scatter plot
Answer:
line graph
Step-by-step explanation:
usa testprep
José bought for notebooks more than twice of a number he has now 12 notebooks what is the number
Answer:
is it 24
Step-by-step explanation:
twice of a number thats 12???
dont use answer unless your sure
PLSS I need help please
Answer:
The Last One
Step-by-step explanation:
Hope This Helps ; )
Answer:
2/6
Step-by-step explanation:
K.8 Complete a table and graph a proportional relationship 7th grade math
but it has to be in a zooom bc its alot of questions
Answer:
Someone gave me da link to dis
Step-by-step explanation:
Work out the following.
33 + 8 x 9 =
(31 - 20) x 3 =
102 - 6 = (8-5) =
120 = (12 + 4 x 7) - 2 =
8 × 9 = 72
33 + 72 = 105
The answer is 105
2nd Equation:31 - 20 = 11
11 × 3 = 33
The answer is 33
3rd Equation:102 - 6 = 8 - 5
102 - 6 = 96
96 = 8 - 5
8 - 5 = 3
96 = 3
93 = 3 is false so therefor, this equation has no solution.
4th Equation:
102 = 12 + 4 × 7 - 2
4 × 7 = 28
102 = 12 + 28 - 2
12 + 28 = 40
102 = 40 - 2
40 - 2 = 38
102 = 38
102 = 38 is false so, it means that this equation has no solution.
helpppppppppppppppppppppppppppppppppppppp
Answer:
Area of a rectangle = l × w
= 1.4 × 2.1
= 2.94 meters ^2
hope it helps. sorry if its wrong. this is my own knowledge
For the function: f(x) = 12 + 10x − 5x2
Find f(-6)
Answer:
-228
Step-by-step explanation:
I Used the given functions to set up and simplify f(-6)
Hope this helps:)
A certain disease has an incidence rate of 0.7%. If the false negative rate is 5% and the false positive rate is
3%, compute the probability that a person who tests positive actually has the disease.
Give your answer accurate to at least 3 decimal places
What equation is equivalent to 6x + 13 - (3x - 7)
Answer:
6x + 12 - (3x - 7)
6x + 12 - 3x + 7
3x + 19
Step-by-step explanation:
Simplifying
6x + 13 + -3x + -7 = 0
Reorder the terms:
13 + -7 + 6x + -3x = 0
Combine like terms: 13 + -7 = 6
6 + 6x + -3x = 0
Combine like terms: 6x + -3x = 3x
6 + 3x = 0
Solving
6 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 3x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = 0 + -6
3x = 0 + -6
Combine like terms: 0 + -6 = -6
3x = -6
Divide each side by '3'.
x = -2
Simplifying
x = -2
need help on edge 6th grade math
Answer: a, 7ft
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?
2x + y ≤ 10
2x − 4y < 8
a. A, C, D, K
b. E, F, G, J
c. A, C, D, H, K
d. E, F, G, H, J
Answer:Correct answer's :A,C,D,K
because H∉ x-2y<4.
Step-by-step explanation:
Simplify the complex fraction. 2/3m-1/2m 3m/3+4/5m
Answer:
131m/210 I THINKKKKK
Step-by-step explanation:
RNDJDJDJSJD
What is 1 1/3 - 3/4=?
Answer:
[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3} -\frac{3}{4} \\\\\frac{4}{3} -\frac{3}{4} \\\\\frac{16}{12} -\frac{9}{12} \\\\\frac{7}{12}[/tex]
Answer: 2 11/12 or 35/12
Step-by-step explanation:
11/3 - 3/4
44/12 - 9/12
44 - 9 = 35
35/12
2 11/12
Charmaine runs each lap in 5 minutes. She will run less than 35 minutes today. What are the possible numbers of laps she will run today?
Answer:
7
Step-by-step explanation:
it is just 35÷5=7 and if she runs every 5 minutes she runs 7 laps.
Pless help I want to hang my self
A rectangular prism has a length of 1į yards, a width of 25 yards, and a height of 4 yards. Enter the volume of the prism as a mixed number in simplest form in the box. yd3
Point P is (1,2)
Point Q is (7,6)
Which of the following best represents the length of segment PQ?
If 15×5 equals what what times five equals what
Answer:
15 x 5 = 75 x 5 = 375
Step-by-step explanation:
Not sure what you were saying but its just some spelling errors but i think i did what you said. You multiply the product of it to 5.
what the total area of a rectangular prism with a hight of 17feet a width of 12 feet and a thickness of 10 feet ?
Answer:
988ft^2
Step-by-step explanation:
Total area of a rectangular prism = 2(lw+wh+lh)
length l = 17feet
width w = 12feet
thickness = 10feet
TSA = 2(17(12)+17(10) + 12(10))
TSA = 2(204+170+120)
TSA = 2(494)
TSA = 988ft^2
Hence the total surface area is 988ft^2
ill mark brainlist plss help
Answer:
Milligram
Step-by-step explanation:
milligram b/c kilogram and gram are too big of a mass measurement for a strand of hair and meter does not measure the mass of the strand of hair it could measure the length
please show all work i’ll mark brainliest
Answer:
a. r=4
b. 8pi or 25.13 when rounded to nearest hundreth
c. once
d. twice
Step-by-step explanation:
a)
16pi=pi*r^2
16=r^2
4=r
b)
2(4)pi
8pi or 25.13 when rounded to nearest hundreth
c) once
d) twice
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer ☺️☺️☺️
Find the vertex and focus of the
parabola.
y2 – 12y + 4x + 4 = 0
Answer:
t y = 6 and x = 8, or the vertex is at (8,6).
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertex: (8,6) Focus (7,6)
Step-by-step explanation:
32/4=8
Half of 12=6
A local school is holding a fundraising event. Everyone that attends receives a raffle ticket. At the end of the night the raffle is held.
Assume 1,000 people attend the event, and hence there are 1,000 tickets in the raffle.
There will be
• 85 tickets that each win $10
• 60 tickets that each win $20
• 20 tickets that each win $50
• 10 tickets that each win $100
• and the rest of the tickets win nothing
What is the variance of the winnings from this raffle?
Do not round until you have your answer. Round your answer to 2 decimal places.
Find the area of each parallelogram below. Show all of your work.
Answer:
i
Step-by-step explanation: