Answer:
Paul had £40 originally.
Step-by-step explanation:
Given
Let d be the money Dan has and p be the money Paul has
Then according to the given situation,
[tex]\frac{d}{p} = \frac{9}{5}\\d = \frac{9p}{5}\ \ \ Equation\ 1[/tex]
Now from the statement, "Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1"
[tex]\frac{d-32}{p} = 1[/tex] Eqn 2
From 2
[tex]d - 32 = p\\[/tex]
Putting d = 9p/5
[tex]\frac{9p}{5} - 32 = p\\9p - 160 = 5p\\9p-5p = 160\\4p = 160\\\frac{4p}{4} = \frac{160}{4}\\p = 40[/tex]
Checking
[tex]d = \frac{9(40)}{5} = \frac{360}{5} = 72\\\frac{d}{p} = \frac{72}{40} = \frac{9}{5}[/tex]
Hence,
Paul had £40 originally.
Divide. Express your answer in simplest form.
8/9 ÷ 8
○7 1/9
○1/9
○8/72
○9
Answer:
1/9
Step-by-step explanation:
8/9 ÷ 8/1
8/9 x 1/8 = 8/72
The GCF for 8 and 72 is 8
[tex]\frac{8}{72}[/tex]÷[tex]\frac{8}{8}[/tex]=[tex]\frac{1}{9}[/tex]
Answer: 1/9
see below for work ⤵
algebra 2. pls help:(
so i have this question that says I was at a grocery store and my total is 35.25 but I get to the register and find out it is 25% off. what would be my final total?
25% off of 35.25 would be $26.4375
Calculate the present value PV of an investment that will be worth $1,000 at the stated interest rate after the stated amount of time. 7 years, at 3% per year, compounded annually.
Answer:
PV= $813.09
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $1,000
Number of periods (n)= 7 years
Interest rate (i)= 3% compounded annually
To calculate the present value (PV), we need to use the following formula:
PV= FV/(1+i)^n
PV= 1,000 / (1.03^7)
PV= $813.09
(2.5 x 10^6) + (1.2 x 10^3)
whats the answer to this???
Hey
[tex]\text{there}[/tex]
[tex](2.5 \times {10}^{6}) + (1.2 \times{10}^{3}) [/tex]
[tex] {10}^{6}=1000000[/tex]
[tex](2.5\times1000000) + (1.2\times{10}^{3})[/tex]
[tex] {10}^{3} = 1000[/tex]
[tex](2.5 \times 1000000) + (1.2 + 1000)[/tex]
[tex](2.5\times1000000) = 2,500,000[/tex]
[tex](2,500,000) + (1.2 \times 1000)[/tex]
[tex](1.2\times1000)=1,200[/tex]
[tex](2,500,000)+(1,200)=2,501,200[/tex]
[tex] \boxed{ \boxed{ \bf{Answer: \boxed{ \boxed{ \bf{2,501,200}}}}}} \checkmark[/tex]
Good luck on your assignment and enjoy your day!~
[tex] \dfrac{ \frak{LoveYourselfFirst}}{:)}[/tex]
what is 40/17 rounded to the nearrst hundreth as a decimal
Answer:
★ 40 over 17 is roughly 2.35294, which can be rounded to the nearest hundredth as 2.35
Step-by-step explanation:
Hope you have a great day :)
In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is:_________.
Answer: H0 : β1 = β2 = β3 = β4 = 0
Step-by-step explanation:
The null hypothesis refers to a hypotheses that simply states that no relationship exists between two phenomenons that are being tested.
In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is H0 : β1 = β2 = β3 = β4 = 0.
Which expression is equivalent to 2(m − 5) + 6?
2m − 1
2m + 22
2m − 4
2m + 16
Answer:
The answer is c
Step-by-step explanation:
2. Joanne's car insurance is reduced by 10% for each year that she has not had an
accident.
The normal cost of her insurance is £420 but she has a 3-years' no claims bonus.
How much is her insurance?
Answer:
220
Step-by-step explanation:
1. (01.02)
Given that f(x) = 6x + 2 and g(x)
2x + 4/5
solve for g(f(1)). (5 points)
1
3
4
8
Answer:4
Step-by-step explanation:
f(1)=6(1)+2
=8
g(f(1))=2(8)+4/5
=20/5
=4
the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percentage change in its area.
No change in area if sides of rectangle are equal.
Hope this helps.
help
Please!!!!!!!!
Will appreciate it :)
Answer:
-5(-6x² + x + 2)
Step-by-step explanation:
-5(-6x² + x + 2)
= (-5)(-6x²) + (-5)(x) + (-5)(2)
= 30x²-5x-10
Ratios
Express each ratio as a fraction in the simplest for
MI
1) 18 pounds to 22 pounds
Answer:
h
Step-by-step explanation:
eteujj
7 apples cost $2.10. How many apples can I buy for $6.30
Answer:
21
Step-by-step explanation
If 7 apples are 2.10 then for 4.20 its 14 apples. And 3 apples is 90 cents. 1 apple is 0.30. So the amount you can buy is 21 because 6.30/0.3 is 21
Answer:
21
Explanation:
If 7 apples cost y cents, how many can you buy for x dollars?
As y cents buy 7 apples, y dollars will buy 7×100 apples.
Hence one dollar will buy 7×100y=700y apples and,
x dollars will buy 700y × x apples or 700x y apples.
Hence 7 apples multiplied by $6.30 divided by $2.10 will get you 21 apples.
Have a beautiful day! v(⌒o⌒)v♪
What is the domain of the function for this situation?
Answer:
There is no problem. If you put the problem then i'll help
Step-by-step explanation:
Cindy wants to buy new jeans. She already has $40 in her savings account. If she puts $2 a week in her savings account, she wants to know how many weeks she must save to have at least $80. Which inequality matches the situation?
Answer: 21 weeks. i counted it up
Step-by-step explanation: so its
Kayla drives 144 miles in 3 hrs. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on an average?
Answer:
12 miles per hour more
Step-by-step explanation:
Answer:
Kendra drives 8 hours more on average.
Step-by-step explanation:
We divide 144/3 to get Kayla's mile to hour.
That is 48 miles.
We divide 224/4 to get Kendra's mile to hour.
That is 56 miles.
56 - 48 = 8.
hope this helped!
Please help asap
What is 3/5 simplified
Answer: Its already in its simple form
Step-by-step explanation:
What is greater, 500 g or 0.5 kg?
Answer:
they are equal
0.5kg is 500g
Using reasoning, determine the number of marbles that you would expect to fit if you doubled the diameter
Original diameter was 8cm, could fit 40 marbles. New diameter is 16cm. How many marbles would I fit?
Answer:
80 marbles
Step-by-step explanation:
8 times 2=16
40 times 2=80
Carmen spent 88.00 at the mall the money she spent was 25% of the total amount she had in her wallet how much money did Carmen have in her money
Answer:
$352
Step-by-step explanation:
x = total money she had
spent 25% of x = 88
solve for x
x = 88/0.25
x = $352
Malloy solved the equation -5x - 16 = 8 his work is shown below. Identify the error and where it was made
Answer:
in the above equation 35 x 6 = 210, a teacher who looks closely at the work might.
Step-by-step explanation
i have a deep feeling inside of me!
does anyone like 4freakshow if so start a convo in comments 11-16 pleasee
Answer:
mhm
Step-by-step explanation:
Answer:
Bet
Step-by-step explanation:
you want 75,000 in your savings account 12 years from now and you are prepared to make equal annaul deposits into the account at the end of the year. if the account pays 6.8 percent interest, what amount must you deposit each year
Answer:
Annual deposit= $3,474.39
Explanation:
Giving the following information:
You want to have $60,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. The account pays 6.4 percent interest.
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (60,000*0.064)/[(1.064^12)-1]= $3,474.39
plz mark brainly
The Equestrian club has 10 members. if the club wants to select a president, vice president, rodeo clown, and a secretary, how many ways can this be done?
Answer:
Many ways.
They can vote on it.
They can elect a council that will choose all the positions.
One person can just declare himself a position.
PLEASE HELP I HAVE 8 min left
Answer:
I would help but I can't see the picture... sorry good luck
Step-by-step explanation:
The factors of a number are given below: 2, 4, 5, 8, 10, 16, 20, 40. What is the number?
Answer:
the answer would be 80 because it is divisible with all the numbers shown above
A pizzeria charges $4 per slice of pizza, plus an additional $0.50 per topping. If Erica has at most $13.50 to spend on her pizza, how many toppings could she get on ONE slice of pizza? Write an inequality expression that represents the situation and solve! Explain your reasoning
Answer:
19 topings
t=(13.5-4)/.5
Step-by-step explanation:
13.5-4
=9.5
9.5/.5
=19
Solve 8x - 2(x + 1) = 7x + 8.
The answer is
X = -10
Apologies though, I am not good at explaining.
Which linear function is represented by the graph?
O f(x) = -2x + 1
O f(x) = -1/2x + 1
O f(x) = 1/2x + 1
O f(x) = 2x + 1
Answer:
The answer is B
Step-by-step explanation: