Answer:
A) £1440 in the ratio of 3:5:7 is - £288: £480: £672
After Fran gives her sister Ali a share in the ratio 4:1, Fran was left with £537.60 and her sister was left with £134.40
B) Fran to Seth = £537.60: £480 → £28: £25
Step-by-step explanation:
To find 1 part of £1440 in the ratio of 3:5:7 you have to add 3+5+7= 15
Then you divide £1440 by 15 which is = £96
Next you take 96 and times it by 3 then 5 then 7 and put it in the ratio 3:5:7= £288: £480: £672
To find out how much Fran and her sister Ali end up with you have to add 4 & 1 = 5
Then divide Fran’s share, £672, by 5= £134.40
£134.40 is Ali’s share and now we need to find Fran’s by multiplying £134.40 by 4 which is= £537.60
F: A = £537.60: £134.40
As we now know Fran is left with £537.60 and we have to put that into a ratio with what Seth has. Earlier we found out that Seth has a total of £480 from the original share (£1440). If we put this knowledge into a ratio it becomes:
£537.60: £480
But we need to simplify them. So we need to change the values to whole number.
Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places. We then have: 480: 537.6 = 4800: 5376
Try to reduce the ratio further with the highest common factor (HCF). The HCF in our case is 192.
We need to divide both terms by the HCF:
4800 ÷ 192= 25
5376 ÷ 192= 28
Answer:
Step-by-step explanation:
Since we don't know how much each one of them gets, we will call that unknown amount x. Luiz gets 3x of the total amount, Seth gets 5x of the total amount, and Fran gets 7x of the total amount. The total amount is 1440, so the equation to find out how much that unknown amount x is looks like this:
3x + 5x + 7x = 1440 and
15x = 1440 so
x = 96.
That means that Luiz gets 3(96) = 288,
Seth gets 5(96) = 480,
and Fran gets 7(96) = 672. But Fran shares her portion in the ratio 4:1 with her sister. That's a separate equation that looks like this:
4x + 1x = 672 and
5x = 672 so
x = 134.40
That means that Ali gets 134.40, leaving Fran with 537.60.
That answers a. Now for b, the ratio of Fran's portion (what she's left with, at least) to Seth's is the fraction
[tex]\frac{537.60}{480}=\frac{28}{25}[/tex] or in decimal form, 1.12
determine the value of x for which r parallels s. then find measure of angles one and two
measure of angle one= 30-4x
measure of angle two= 50-44x
the value for which r parallels s is .....
measure of angle one.....
measure of angle two ......
Answer:
[tex] m\angle 1 = 28\degree
m\angle 2 = 28\degree [/tex]
Step-by-step explanation:
[tex]\because line\: r || line\: s\\
m\angle 1 = m\angle 2\\(corresponding \: \angle s) \\
\therefore 30 - 4x = 50 - 44x\\
\therefore 44x - 4x = 50 - 30\\
\therefore 40x = 20\\
\therefore x = \frac{40}{20}\\
\therefore x = 0.5\\
m\angle 1 = 30 - 4x = 30 - 4(0.5) = 30 - 2 \\
m\angle 1 = 28\degree \\
\implies m\angle 2 = 28\degree [/tex]
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers,
Express in exponential form.
logo0.001 =3
In order to write log10(0.001) = -3 in index form, we have [tex]10^{-3} = 0.001[/tex].
Exponential form of logarithmThe logarithm of a number refers to the power to which a given base is raised to give the number. In this case, the base is 10 and the index is 3. Our task is to write log10(0.001) = -3 in index form.
Recall that;
[tex]a^{x}[/tex] = PHence, to write log10(0.001) = -3 in index form we have to write, [tex]10^{-3} = 0.001[/tex]
Learn more about logarithm: https://brainly.com/question/7302008
HELP PLEASEEE !!! 50 POINTS
Answer:
haha
Step-by-step explanation:
first off thats not 50 points
Answer:
Step-by-step explanation For the first on 5 and -4 all u do is divide y over x so it wpuld be -4/5 which would be -0.8
just keep doing the process of dividing y over x
the second 1 would be 0/3 which is 0
just keep doing this process
Can someone help me with this please
Answer: 19
Step-by-step explanation:
[tex]a-4b\\\\=7-4(-3)\\\\=7-(-12)\\\\=7+12\\\\=19[/tex]
WILL MARK BRAINLIEST ONLY HAVE 30 MINUTES
Answer:
Step-by-step explanation:
the answer is 21
Answer:
its 21
Step-by-step explanation:
you add 9 +12= 21 inches
The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for each flower. The October price was a 20% increase of the September price. Part A: What was the price of the flowers in September? Part B: The seventh-grade class earned 40% of the selling price of each flower. In September, they sold 900 flowers. In October, they sold 700 flowers. Did they earn more money in September or October? How much more?
La serie de el 2 12 32 62 al 1902
Answer:
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Step-by-step explanation:
Which country boarders the Horn of Africa in the West?
The answer is Ethiopia.
There are 4 countries in the horn of Africa.They are Eritrea,Ethiopia,somalia and Djibouti
2,704 rounded to the nearest thousand
Answer:
3000,
Step-by-step explanation:
5 or above round up, 4 and below keep it the same
5. If a = -6 and b = 7, then 4a(3b+5)+2b=?
A. 638
B. -485
C. 850
D.-610
Answer:
D.-610
Step-by-step explanation:
-6 ×4 =-24
7 times 3 =21
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The weight of body is 420 N. Calculate is mass
0.34 m 11.67,000 g 1,72.800 s 1 day
LOSSARY
the ratio of mass and volume
the rate of change of velo
the rate of displacement of be
Answer:
42.857 kg
Step-by-step explanation:
Given that :
Weight of body = 420N
Recall : Weight (W) = mass(m) * acceleration due to gravity(g)
Thus ;
Mass, m = Weight, W / acceleration due to gravity
Acceleration due to gravity is a constant, g =, 9.8 m/s²
Mass = 420N / 9.8m/s²
Mass = 42.857142kg
Joey makes 20 less dollars than Jeremy. If they make a total of $72, how much does
Joey make? You must write two let statements and an equation to solve this problem.
Answer:
Joey makes 52 dollars
Step-by-step explanation:
The price of some Beats by Dre were reduced from $125 to $100. By what percentage was the price of the Beats reduced?
Answer:
10% of 100=10
20%of 100=20
5% of 100=5
50%=50
125
Can someone help solve this please
Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x+3)/8 = (x+6)/10
x+3 = 8(x+6)/10
x+3 = 4(x+6)/5
x+3 = (4x+24)/5
x +3 = 4x/5 + 24/5
x - 4x/5 = (24/5)-3
x/5 = 9/5
x = 9
There are 9 times as many cubes in the black bag as in the green bag. The green bag has 12 cubes. How many cubes are in the black bag?
Answer:
108 cubes
Step-by-step explanation: 9 times 12 equals 108
9 • 12 = 108 cubes
Answer:
108
Step-by-step explanation:
9×12=108
That's it!
An aquarium holds 12 liters of water.
How many aquariums can we fill with 48 liters of water?
Include fractions of aquariums, if applicable.
Answer:
4 aquariums
Step-by-step explanation:
because each aquarium can hold 12 liters and if there is 48 liters total you divide 48 by 12 and get a total of 4 aquariums
Suppose a small cannonball weighing 16 lb is shot vertically upward with an initial velocity
v_0 = 300v 0 =300 ft/s.(a) Suppose air resistance is ignored. If the positive direction is upward, then a model for the state of the cannonball is given by d^2s/dt^2 = -gd 2 s/dt 2 =−g.Since ds/dt = v(t)ds/dt=v(t) the last differential equation is the same as dv/dt = -gdv/dt=−g, where we take g = 32g=32 ft/s^2 2 . Find the velocity v(t)v(t) of the cannonball at time tt.(b) Use the result obtained in part (a) to determine the height s(t)s(t) of the cannonball measured from ground level. Find the maximum height attained by the cannonball.
Answer:
a) v(t)=-32t+300
b) s(t)=-16t^{2}+300t
[tex]s_{max} =\frac{5625}{4}ft=1406.25 ft[/tex]
Step-by-step explanation:
A good way to start solving this problem out is to draw a diagram of the situation (see attached picture).
a)
For part a, we need to find an equation for the velocity of the cannon ball. We have an equation of its acceleration:
[tex]a=\frac{dv}{dt}=\frac{d^{2}s}{dt^{2}}=-g[/tex]
we know that:
[tex]g=32 ft/s^{2}[/tex]
so we got the following differential equation:
[tex]\frac{dv}{dt} =-32[/tex]
we can find the function for velocity by integrating, so we get:
[tex]v =\int\limits {-32} \, dt[/tex]
which yields:
v(t)=-32t+C
we need to find the value of C. The problem tells us that v(0)=300 ft/s so we can use this to find c:
300=-32(0)+C
so
C=300
therefore the equation for velocity is:
v(t)=-32t+300
b)
For part b) we need to find an equation for the height of the cannonball. We know that:
[tex]v=\frac{ds}{dt}[/tex]
so:
[tex]\frac{ds}{dt}=-32t+300[/tex]
so we can integrate this equation to find the function for height of the ball, so we get:
[tex]s=\int\limits {-32t+300} \, dt[/tex]
which yields:
[tex]s(t)=-\frac{32t^{2}}{2}+300t+C[/tex]
which can be simplified to:
[tex]s(t) =-16t^{2}+300t+C[/tex]
We know the height is measured from the ground level, this means that s(0)=0 so we can find C with this information:
[tex]0=-16(0)^{2}+300(0)+C[/tex]
so C=0, therefore our equation is:
[tex]s(t)=-16t^{2}+300t[/tex]
in order to find the maximum height attained by the cannonball, we can set the velocity function equal to zero and solve for t, so we get:
0=-32t+300
-32t=-300
[tex]t=\frac{300}{32}[/tex]
[tex]t=\frac{75}{8} s[/tex]
and substitute it into our position function so we get:
[tex]s(\frac{75}{8})=-16(\frac{75}{8})^{2}+300(\frac{75}{8})[/tex]
which yields:
[tex]s_{max} =\frac{5625}{4}ft=1406.25 ft[/tex]
given that y varies inversely with x, and y = 100 when x + 3, find x if y = 60
Step-by-step explanation:
xy = k, where k is a real constant.
y = 100 when x = 3, therefore (3)(100) = k.
=> k = 300.
Hence when y = 60, x(60) = (300), x = 5.
Answer:
cchhgfhhfhçhuyffffffcghhhh
who wants brainlest?
what is 5 + 5
(hardest question in the galaxy)
what is the name of that oger in shrek?
(very hard)
what is the name of the most popular web browser?
hint: not internet explorer
(starts with a g)
bonus question:
(heart)
who is the 2nd most popular robl0x yt channel
(pls sub to him)
and pewds
if you want to compete in the next brainlest competition, you could friend me or, follow my questions to keep yourself updated...........
Answer:
10
shrek
g00gle
denis or flamingo?
Step-by-step explanation:
Buddy and Michael get into a
snow fight with some boys on the
way home from school. It seems
as though Buddy can throw 4
times as many snowballs as the
boys can. If Buddy throws 1200
snowballs, how many did the boys
throw? Write an equation and
solve.
Answer:
1500
Step-by-step explanation:
1200/4=300
1200+300=1500
Answer:
This means the boys throw 300 snowballs while Buddy throws 1200 snowballs
Step-by-step explanation:
Equations
Let's call
x = number of snowballs the other boys throw.
4x = number of snowballs Buddy throws.
We know Buddy throws 1200 snowballs, thus
4x = 1200
Divide by 4:
x = 1200/4
x = 300
This means the boys throw 300 snowballs while Buddy throws 1200 snowballs
Find the equation of the graphed line.
a. y= - 6x-7
b. y = 6x -7
c. y = - 6/7 × -6
b. y = - 7/6x - 7
Compare continuous functions f, g, and h, and match the statements with the function they best describe.
Drag each description to the correct location on the table.
Answer: see attached
Step-by-step explanation:
From the given properties of the functions,
Function 'f' is decreasing in the longest interval [-0.8, 0.6]Lowest y-intercept → y = -1 (function g)Highest y-intercept → y = 3 (function h)Function 'h' in increasing in the longest interval → (-∞, ∞)Functions given in the picture are 'f', 'g' and 'h'.
From the graph given for function 'f',
y - intercept = 1
Increasing in the interval → (-∞, -0.8] and (0.6, ∞)
Decreasing in the interval → [-0.8, 0.6]
From the table given for the function 'g',
Decreasing in the interval → [-2, 2]
y-intercept = -1
For function 'h',
h(x) = 4x³ + 3
Table of the input-output values for function will be,
x h(x)
-2 -29
-1 -1
0 3
1 7
2 35
Therefore, function 'h' will increase in the interval → (-∞, ∞)
y-intercept → y = 3
Therefore, from these properties of the functions we conclude,
Function 'f' is decreasing in the longest interval [-0.8, 0.6]Lowest y-intercept → y = -1 (function g)Highest y-intercept → y = 3 (function h)Function 'h' in increasing in the longest interval → (-∞, ∞)Learn more,
https://brainly.com/question/13508893
plzzzzzzz help help help. A sum of money put out at compund interest in increased by Rs.180 at the end of first year and by Rs. 188.10 at the end of second year. find out the sum and rate of interest . plzzzzz help
Answer:
This is the answer. Do it fast. All the best
55/(4+1)+3-three cubed
Answer:38
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
First you have to do 4+1=5, then you do 55/5 and get 11, once you do that you do 11+3=14.
I hope that this helps!!!
Ştiind că a . b = 2 019 şi a c= 2019, calculați a. (b-c)
Answer: a × ba × c = a (bc) = 0
a × ba × c = 2019-2019 = 0
Step-by-step explanation:
The temperature on the moon vary from -173*C to 127C find the difference between the maximum and minimum temperatures
Answer:
300°
Step-by-step explanation:
Difference means to subtract:
127 - (-173) = 300
Therefore, the temperatures have a difference of 300°.
Answer: 300
Step-by-step explanation:
The max temp is 127C
The min temp is -173C
The difference between the maximum and minimum temperatures = max temp - min temp= 127-(-173) = 127+173=300
In a large population, 61 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated
Answer:
0.94
Step-by-step explanation:
Computation for what is the probability that AT LEAST ONE of them has been vaccinated
Based on the information given this is a binomial Distribution therefore Let;
Number of people represent n= 3 people
Population represent p = .61
Using this formula
Probability(AT LEAST ONE vaccinated) = 1 - [ 1*(1-Population vaccinated^People randomly selected)]
Let plug in the formula
Probability(AT LEAST ONE vaccinated) = 1 -[1*(1-.61^3)]
Probability(AT LEAST ONE vaccinated) = 1 - [1×(1-.61^3)]
Probability(AT LEAST ONE vaccinated) = 1 - (1×.39^3)
Probability(AT LEAST ONE vaccinated) = 1 - 0.059319
Probability(AT LEAST ONE vaccinated) = 0.940681
Probability(AT LEAST ONE vaccinated) = 0.94
Therefore the probability that AT LEAST ONE of them has been vaccinated is 0.94
Figure ABCD is a kite. Find the
value of x.
Answer:
x=5
Step-by-step explanation:
i think you posted this question twice, but here it is:
in order for this figure to truly be a kite, AD and AB have to be equal.
So:
4x=x+15
now we must solve the equation:
3x=15
x=5
Explain why Josue is correct?