Answer:
Multiplying the numerators and denominators, we get 21 / 48 = 7 / 16.
Students in a school are asked to pick either football, rugby or tennis to play in their lessons. the number of students who picked football and rugby are in the ratio of 4:3 the number of students who picked rugby and tennis in the ratio of 9:19 57 students picked tennis work out how many student picked football
Answer: 36 Students picked football
Step-by-step explanation: When calculating values by the use of given ratios, it is important to note that the ratio of one value as compared to the other is the same as the actual value compared to the other.
The ratio of students who picked rugby and tennis is given as ratio 9 : 19, which means for every 28 students (that was derived by 9 + 19), 9 would choose rugby and 19 would choose tennis. However, we have been given the total number of students who chose tennis as 57, hence the value 57 would now replace the ratio of 19. However the total number of those who chose rugby is not yet known, so we can write out an equation as shown below;
19/28 = t/x
Where t is the number of tennis players as represented by ratio 19 and x is the total number of both tennis and rugby players as represented by 28.
By cross multiplication we now have
19 * x = 28 * 57
x = (28 * 57)/19
x = 1596/19
x = 84
If a total of 84 students play both rugby and tennis, and 57 of them play only tennis, then the number of rugby players is derived as
r = x - t
r = 84 - 57
r = 27
Having determined that 27 students played rugby, and the ratio of football to rugby players is given as 4 : 3, the relationship can be mathematically represented as follows;
3/7 = r/y
Where r is the total number of rugby players and y is the total number of both football and rugby players
3/7 = 27/y
By cross multiplication you now have
3 * y = 7 * 27
y = (7 * 27)/3
y = 189/3
y = 63
If the total number of football and rugby players is 63 and out of these 27 play rugby only, then the number of football players is derived as;
f = y - r
f = 63 - 27
f = 36
Therefore the number of students who chose football is 36
if f(x) = 3x-2 and g(x) =2x+1 fine (f-g)(x)
Answer:
=x -3
Step-by-step explanation:
f(x) = 3x-2
g(x) =2x+1
(f-g)(x) = 3x-2 -(2x+1)
Distribute the minus sign
= 3x-2 -2x-1
Combine like terms
=3x-2x-2-1
=x -3
A figure is located entirely in the third quadrant if it is reflected over the y axis in which quadrant will it's image lie
Answer:
It will land in quadrant 1 (quadrant 1)
Step-by-step explanation:
4m (2mn-8m) +3n (5n-6mn) please help me
Answer:
-32m-4mn+15n
Step-by-step explanation:
BODMAS means Bracket of Division Multiplication Addition Subtraction.
So any time you have lot of signs use BODMAS.
Thank you do you understand
AB and BC are perpendicular lines Find the value of x Please answer quick!!
Answer:
32 degrees
Step-by-step explanation:
If AB and BC are perpendicular, that means the angle is 90 degrees. They already give you 24 and 24 which add up to 48 and then you subtract 90 by 48 to find the missing value
5 Write the first five terms of the sequence with nth term.
a 4n
b 2n+1
c 3n -2
d 1/2n +1
e 20 -5n
f -2n +3
Answer:
its a lot u'll see at the end
Step-by-step explanation:
a) 4n = 4,8,12,16,20
b) 2n+1= 3,5,7,9,11
c) 3n-2= 1,4,7,10,13
d) 1÷2n+1= [tex]\frac{3}{2}[/tex], [tex]\frac{5}{4} ,\frac{7}{6} ,\frac{9}{8} ,\frac{11}{10} ,[/tex]
e) 20-5n= 15,10,5,0,-5
f) -2n+3= 1,-1,-3,-5,-7
took me a while hope it is helpful
Please help
AOB = ?
BOC = ?
BOD = ?
Answer: in between a and b it could be 12x
in between b and c it could be 55x
in between d and c it could be [tex]4x^{o}[/tex] than probably half that
in between b and c it could be [tex]x^{o}[/tex]
or this
From the diagram, we know that it is an angle that adds up to 360
So
x+4x+2x+10+5x+50=360
Gather like terms
12x+60=360
Move sixty to the other side as a negative number
12x=300
Divide both sirs by twelve
x is equal to 25
AOB is 2x+10
Sub x in 2*25+10
AOB is 60
BOC is 5x+50
5*25+50, which is 175
BOD is x+2x+10
Which is 3x+10
Sub x
3*25+10 which is 85
Step-by-step explanation:
i think it could be like this
Which statement is true about f(x) + 2 = 1/6 |x-3| ?
A) The graph of f(x) has a vertex of (–3, 2).
B) The graph of f(x) is a horizontal compression of the graph of the parent function.
C) The graph of f(x) opens downward.
D) The graph of f(x) has range of f(x) ≥ –2.
Answer:
Option D.
Step-by-step explanation:
Statement given,
f(x) + 2 = [tex]\frac{1}{6}|x - 3|[/tex]
Or f(x) = [tex]\frac{1}{6}|x-3|[/tex] -2
Parent function, g(x) = |x|
Absolute value function g(x) when shifted 3 units right,
g'(x) = |x - 3|
Vertically compressed by [tex]\frac{1}{6}[/tex] units and shifted 2 units down, then the new function will be
f(x) = [tex]\frac{1}{6}|x - 3|-2[/tex]
Characteristics of the graph of this function:
1). Vertex at (3, -2).
2). Vertical compression of the parent function by [tex]\frac{1}{6}[/tex].
3). Graph opens upwards.
4). Range of the graph f(x) is f(x) ≥ -2.
Therefore, Option D will be the answer.
ran 42 miles per hour in 8 hours whats his miles per hour
What is the exponential regression equation that fits these data? X y 1 3 2 8 3 27 4 85 5 240 6 570 A. Y = 2.93(1.03x) B. Y = 38.73x2 – 168.58x + 158.1 C. Y = 102.54x – 203.4 D. Y = 1.03(2.93x)
Answer:
D) [tex]Y = 1.03(2.93^x)[/tex]
Step-by-step explanation:
To Find the exponential regression equation that fits these data, we substitute the value of x into the equation and see if it produces the value of y.
x: 1 2 3 4 5 6
y: 3 8 27 85 240 570
A. Y = 2.93([tex]1.03^x[/tex])
Substituting x = 1 to get
Y = 2.93(1.03) ≅ 3
Substituting x = 2 to get
Y = 2.93([tex]1.03^2[/tex]) ≅ 3.1
Option A is wrong
B. Y = 38.73x² – 168.58x + 158.1
Substituting x = 1 to get:
Y = 38.73(1)² – 168.58(1) + 158.1 = 28.25
Therefore option B is wrong
C. Y = [tex]102.54^x - 203.4[/tex]
Substituting x = 1 to get:
Y = 102.54 – 203.4 = -100.86
D) [tex]Y = 1.03(2.93^x)[/tex]
Substituting x = 1 to get:
[tex]Y = 1.03(2.93^1)=3[/tex]
Substituting x = 2 to get:
[tex]Y = 1.03(2.93^2)=8.84[/tex]
Substituting x = 3 to get:
[tex]Y = 1.03(2.93^3)=25.9[/tex]
Option D is the closest, it is the correct option
< Salir
Topic 14 Online Assessment
Esperado 06/10/20 11:59 pm
00:00
Kurt and Drew walk the same distance to school. Their start and end times are different.
Who got to school faster, and by how many minutes?
Kurt
Answer:
Option C.
Step-by-step explanation:
Kurt started for the school at 07:35 and ends at 08:25.
Time taken by Kurt to reach the school
= 08:25 - 07:35
= (07 hours + 85 minutes) - (07 hours + 35 minutes) [Since 08 hours + 25 minutes = 07 hours + (60 + 25)minutes]
= 85 minutes - 35 minutes
= 50 minutes
Time taken by Drew to reach the school
= 08:30 - 07:55
= (07 hours + 90 minutes) - (07 hours + 55 minutes) [Since 08 hours + 30 minutes = 07 hours + (60 + 30)minutes]
= 90 minutes - 55 minutes
= 35 minutes
Difference in the time taken by Kurt and Drew = 50 - 35 = 15 minutes.
Therefore, Drew is 15 minutes faster than Kurt.
Option C. is the answer.
What ratios are equivalent to 10:16? What Apply
Answer:
The answer is option 1 and 3.
Step-by-step explanation:
Firstly, you have to find the simplest form of the ratio by dividing the common numbers :
[tex]10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8} [/tex]
Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :
Option 1,
[tex]30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)[/tex]
Option 2,
[tex]25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)[/tex]
Option 3,
[tex] \frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)[/tex]
Option 4,
[tex]8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)[/tex]
Option 5,
[tex]5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)[/tex]
You buy 1.65 pounds of apples and 1.85 pounds of plums. Apples and plums sell for the same price per pound. The total cost, after using a 65cents-off coupon, is $3.20. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?
Answer:the value is 20
Step-by-step explanation:
What is the area of the rhombus shown below?
Answer:
A. 97.5 square units
Step-by-step explanation:
==>Given:
Rhombus ABCD with the following dimensions:
diagonal 1 (d1) = BD = 15
diagonal 2 (d2) = AC = 13
AB = 9.9
==>Required:
Area of the rhombus
==>Solution:
Since we know the length of the 2 diagonals, area of the rhombus can be calculated using A = ½ × d1 × d2
Area = ½ × 15 × 13
A = ½ × 195
A = 97.5 square units
Answer:
A
Step-by-step explanation:
A water grist mill has a radius of 8ft and takes 6 seconds to make a complete rotation. A bucket starts at position (8,0). What are the coordinates of the bucket's location after 4 seconds? Round values to the nearest tenth.
(8.7, −3.5)
(−4, −6.9)
(4, −6.9)
(−8.7, −3.5)
Answer:
(−4 -6.9 )= x, y rotation 240 degree anti clockwise
Step-by-step explanation:
We are told radius = 8 so the center point or point of origin is 0.0
360/3 = 120 degree x 2 = 240 degree is where we need to be.
(8,0) circulating anti clockwise = -8,0 at 180 = 180 degree.
This is 3 seconds.
We divide 8/3 to find the 4th and know it will be negative in the 3rd quadrant across the negative y axis, the lower and left point on the graph.
We know both are negative if going anti clockwise 240 degree.
We also know that the hands of a clock or mechanics of a mill cannot increase in length they shorten so they cannot be 8.7 even though triangles slants do increase this is independent of completing the lengths in a triangle. The lengths shorten.
-4 = x this is because it crosses -4 x axis to reach to -6.9 y coordinate.
Y= 6.9 as the length of 8 is shortened by 1.1 units between each 180 degree line we have 210deg (shows (-6.35, -2.4) also; 240 deg (-6.9, -4 ) and a 270 deg (this shows (0,8)
if 240/6.9 = 34% reduction
As 8 6.9 of 8 as a percentage = 86.25
As a ratio decrease we have 13.75% with the size of the coordinates at 240 degrees from 180 degrees the highest point is 270 degrees and is half again 1.1/2 = 0.55 increase in coordinates of y.
y would show -6.35 at 210 degrees and x would show 1.1 whole ratio change and show -2.4 at 210 degrees. The reason for this is that it is cutting the axis line and is a narrowing crossing for x axis shortly before 180 degree change.
The shortest point of the hand and central to 240 and 180 is 210 degree.
Make a magic square using only first nine odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17. (In a magic square, the numbers in each row, in each column, and along each diagonal have the same sum.)
Answer: [tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]
Step-by-step explanation:
A magic cube is something like:
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Where the numbers that we must use are:
1, 3, 5, 7, 9, 11, 13, 15, 17
If we take the addition of those 9 numbers, we get 81.
Now, we divide it by 3 (the number of numbers in each row or column) and get:
81/3 = 27
so the sum in each row, column and diagonal must be 27.
1 + 9 + 17 = 27
13 + 11 + 3 = 27
5 + 7 + 15 = 27
9 + 13 + 5 = 27
You can keep playing with this, and then start forming our number cube, some of the hints tat we can use is that the median of the group is 9, so it must be in the middle of the cuve, and the extremes, 1 and 17, must be in the same column or row as 9.
so we start with:
[tex]\left[\begin{array}{ccc}x&x&x\\1&9&17\\x&x&x\end{array}\right][/tex]
and start to fill the empty spaces, now we can use that
1 + 11 + 15 = 27 and get:
[tex]\left[\begin{array}{ccc}11&x&x\\1&9&17\\15&x&x\end{array}\right][/tex]
now for the diagonals:
11 + 9 + 7 = 27
15 + 9 + 3 = 27
[tex]\left[\begin{array}{ccc}11&x&3\\1&9&17\\15&x&7\end{array}\right][/tex]
and for the last one:
11 + 3 + 13 = 27
15 + 7 + 5 = 27
[tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]
(Number 8)!!!!!!!!!!!!!!!!
Answer:
B=29
Step-by-step explanation:
you have on the right hand side [tex](7x^{3} y^{3/4}) ^{2}[/tex] which is equal to [tex]49x^{6}yx^{3/2}[/tex] so B=49
Find f(2) if f(x) = (x + 1)2
Answer:
2x
Step-by-step explanation:
f(2)=(2x+1)2
f(2)=(4x+2)
÷ both by two
f(2)=(2x)
// have a great day //
PLEASE HELP!!!!!!! Which of the following sets of data does not contain an outlier? A.25, 33, 29, 31, 33, 33, 78, 28 B.101, 99, 98, 111, 11, 101, 103 C.45, 45, 45, 45, 35, 45 D.6, 7, 5, 8, 9, 1
Answer:
Choice C.
Step-by-step explanation:
Choice C has the most numbers close together, and not far away like an outlier.
Please mark me BRAINLIEST! Thanks!
Answer:
D.6, 7, 5, 8, 9, 1
Step-by-step explanation:
A.25, 33, 29, 31, 33, 33, 78, 28 78 is an outlier
B.101, 99, 98, 111, 11, 101, 103 11 is an outlier
C.45, 45, 45, 45, 35, 45 35 is an outlier
D.6, 7, 5, 8, 9, 1 no outliers the numbers are within 1.5 of the IQR
work out the area of a circle with diameter 1.8cm take pie to be 3.142 and give your answer to 1 decimal place.
A car travels 0.75 miles every minute.explain how you could use proportional reasoning too find how far the car travels in a hour
Answer:
The car travels 45 miles in one hour.
Step-by-step explanation:
Knowing that one hour is 60 minutes and that the car travels 0.75 miles every minute, you can multiply 60 and 0.75 which gives you 45 miles per hour meaning in one hour the car travels 45 miles.
Which number is irrational?
-4
2/9
8.26
11
Answer:
C. Square Root of 11
Edg 2020
Answer:
C
Step-by-step explanation:
edge 2020
6= -3 + r
solve for r
Answer:
6=-3+r
r=9
Step-by-step explanation:
Answer:
9=r
Step-by-step explanation:
6=-3+r
+3 = +3
add 3 to both sides
9=r
What is the slope of the line shown below?
Answer:
4
Step-by-step explanation:
(9 - 1) / (3 - 1) = 8/2 = 4
Answer:
4
Step-by-step explanation:
To find the slope using two points
m= (y2-y1)/(x2-x1)
= (9-1)/(3-1)
= 8/2
= 4
The queen received a diamond brooch for her birthday. The largest gem weighed 5.1 carats. There were three other gems that weighed 0.7 carats, 1.4 carat, and 2.6 carats. What was the total weight of the gems?
Answer:
9.8 carats.
Step-by-step explanation:
5.1 + 0.7 + 1.4 + 2.6
= 9.8
What is the result of subtracting the second equation from the first?
-2x+y=0
7x+3y=2
Answer:
5x -2y = -2
Step-by-step explanation:
-2x+y=0
-7x+3y=2
Subtract the second equation from the first
-2x+y=0
7x-3y=-2
------------------
5x -2y = -2
what’s the perimeter
Answer:
the answer is 10
Step-by-step explanation:
the other shape is half of all the degreed of the first one
Answer: 10
Step-by-step explanation:
AB: 3.0/2 = 1.5 = EF
BC: 5.0/2 = 2.5 = FG
CD: 4.0/2 = 2.0 = GH
DA: 8.0/2 = 4.0 = EH
1.5+2.5+2.0+4.0 = 10
anyone know the answer ? :(
The smallest x value allowed is x = 0, as shown as the leftmost point on the graph at (0,0).
The largest x value allowed is x = 11 because of the right-most point (11,100).
The domain is the set of any real number between those endpoints. We can pick any fractional or decimal number in this interval since time can be subdivided however you want, so the set of integers isn't enough.
An acite triangle has sixes measuring 10 cm and 16 cm .the length of the third side is unknown .which best describes the range of the possible values for the third side of the triangle ?
Answer:
6 < x < 26
Step-by-step explanation:
let x be the third side, then
difference of 2 sides < x < sum of 2 sides , that is
16 - 10 < x < 16 + 10
6 < x < 26
Help me answer this
Answer:
The answer would be 10.
Step-by-step explanation:
10 is the number that has the most number of dots above it.
