Answer:
12:8
Step-by-step explanation:
Bill receives £12, and Sue receives £8.
In order to divide £20 between Bill and Sue in the ratio 3:2, we first need to find the total number of parts in the ratio. The sum of the parts in a 3:2 ratio is 3 + 2 = 5.
Next, we determine the value of one part by dividing the total amount (£20) by the total number of parts (5): £20 ÷ 5 = £4.
Now, we can allocate the money to Bill and Sue according to their shares in the ratio. For Bill, who gets 3 parts, we multiply his share of one part (£4) by 3: £4 × 3 = £12. For Sue, who gets 2 parts, we multiply her share of one part (£4) by 2: £4 × 2 = £8.
Thus, Bill receives £12, and Sue receives £8.
In mathematical terms, we can represent the division of £20 between Bill (B) and Sue (S) as follows:
Let the ratio be represented as B:S = 3:2.
Total parts in the ratio = 3 + 2 = 5.
Value of one part (Vp) = Total amount / Total parts = £20 ÷ 5 = £4.
Amount received by Bill (Ab) = 3 parts × Vp = 3 × £4 = £12.
Amount received by Sue (As) = 2 parts × Vp = 2 × £4 = £8.
Thus, Bill receives £12, and Sue receives £8.
In summary, when dividing £20 between Bill and Sue in the ratio 3:2, we follow the steps of finding the total parts in the ratio, calculating the value of one part, and then distributing the amount based on each individual's share in the ratio.
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Simplify (2x+5)(2x−5).
A) ( 4x − 25 )
B) ( 4x^2 − 10 )
C) ( 4x^2 − 25 )
D) ( 4x^2 − 20x − 25 )
Answer:
Solve For X
A) X = 6.25
B) X =
Answer:
C See below
Step-by-step explanation:
Use FOIL to find answer
First, Outer, Inner, Last
First 2x times 2x = 4x²
Outer 2x times 5 = - 10x
Inner 5 times 2x = 10x
Last 5 times 5 = - 25
so equation ends up 4x² - 10x + 10x - 25
or 4x² - 25
Which of the following are equivalent to –(–5 – 7)? CHOOSE TWO. –5 + 7
5 + 7
5 – 7
–5 – 7
5 – (–7)
–5 – (–7)
Answer:
The only one I found equivalent to (–5 – 7) is (-5-7) sorry
What is the rate of change given the table?
х
у
-2
6
st
1
16
-9
O-6/5
0-5/6
O 5/6
O 6/5
Answer:
-3/6 is the slope which is -1/2
(6,0) is the X intercept
(0,3) is the Y intercept
Step-by-step explanation:
read the graph
WHAT is the scale factor of the dilation?
PLEASE HELPPp c:
Answer:
2.5
Step-by-step explanation:
We can see that the original length of RS is 2 units. The length of R'S' is 5 units.
2 * x = 5
2x = 5
x = 5/2
x = 2.5
65 + = 180 complete the steps to find the value of x
x = 115
Step-by-step explanation:
180 - 65
115
115+65 = 180
There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
The probability that this person does not make use of the facility is 7/130
How to solve for the probability61+68+60 - 25-28-19 + 6
= 123
The total number of person in the sport center is given as 130
We have 130 - 123 = 7
This means that there are a total of 7 persons that do not make use of this facility.
Hence the probability of a person not using the facility is 7/130
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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $3750 and his stock in Company B was worth $1860. The stock in Company A has decreased 24% since last year and the stock in Company B has decreased 20%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Plssssssss help ill give brainliesttttt
Answer: Heyy Bestie Your answer would be 22.7%
Love ya and stay sliving ❤️
Step-by-step explanation:
¿el número 5 es racional o irracional y por qué ?
Answer:
for what I think Es Irracional
If n(A) = 16. n( B) = 19 and n(AB) = 30. Find n(AB)
Answer:
309
Step-by-step explanation:
We have ,
n(A) = 16 n(B) = 19We know that the number of elements in Cartesian product of two sets is ,
n(AB) = n(A) * n(B) n(AB) = 16 * 19 n(AB) = 309certain store's sales increased by 167% compared to the previous year. How many squares would be shaded on 10 x 10 grids to represent 167%?167 squares
67 squares
100 squares
33 Squares
Answer:
alam nio ba filipino talaga ako hahahah
does anyone know how to do this asap! with a full explanation please !!! thank you have a great day !!
Answer: i think 30 minutes
What is the slope of the line on the graph
Answer:
M=12/2 let me know if I'm right or wrong
!30 points! Which angle corresponds to angle N? (Photo attached)
A. N
B. O
C. O'
D. P'
Answer:
The answer is D. "P". hope this helps you
Answer:
I believe the answer is A
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPp
what’s the range?
a: time
b:rainfall
c:not given
Step-by-step explanation:
option B is correct range is rainfall.
hope this answer helps you dear!
need help asap for exam prep
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As we know, the sum of measures of interior angles of a triangle sum up to 180°
so, according to above question ~
[tex]x + 20 + x + 10 + x = 180[/tex][tex]3x + 30 = 180[/tex][tex] 3x = 180 - 30[/tex][tex]3x = 150[/tex][tex]x = 150 \div 3[/tex][tex]x = 50[/tex]Step-by-step explanation:
Here is your solution.!
Plz mark me brainest
and follow me to get the answer faster.
Plz help fast
I will mark Brainlyist
Answer:
its side angle side
Step-by-step explanation:
the sides are equal and the angle in between is the same
Can someone please help me in 33 and 36!!
Answer:
33. x=4
This is because 2 and 14 equal 16 which is divided by 4 to sove for x. that is why that equals 4.
36. 60 degrees
180 divided by the 3 angles a triangle has equals 60.
Answer:
33. 4x=2+14
4x= 16
4x/4= 16/4
x= 4
36. 180° = the sum
to find one angle 180/3 since they're 3 angles in a triangle
180/3= 60°
A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.
Answer:
200 Software programs = $10,000 profit
225 video games = $7,875 profit
Please help!! GEOMETRY
Answer:
x = 70
Step-by-step explanation:
The 70-degree angle is a verticle angle to x, meaning, they are equal in measurements.
the formulas for area of a triangle require the length of any two sides of the triangle amd the measure of the included angle.True or false
Answer:
True
the answer to the above question is true
Prove segment BD = segment CA
Answer:
it is equal because in a rectangle there is a property: opposite sides are equal so BD=CA
Step-by-step explanation: PLS MARK BRAINLIEST
Answer:
BD = CA (Corresponding Element)
Step-by-step explanation:
BAC & BDC Triangle
BAC = BDC (right angle)
BA = DC (Opposite sides are Equal)
BC (equal to both)
BAC congruent BDC under the case of (Angle Side Side)
therefore BD = CA (corresponding angle)
PLZ HELP!!!! STUCK!!!!!
There are 15 tiles in a bag. Of these, 7 are purple, 5 are black and the rest are white.
Event A = drawing a white tile on the first draw
Event B = drawing a purple tile on the second draw
If two tiles are drawn from the bag one after the other and not replaced, what is P(B|A) expressed in simplest form?
A. 1/5
B. 1/3
C. 7/15
D. 1/2
Answer: C.
Step-by-step explanation: If I am wong I am sorry !
Probability of drawing two tiles from the bag one after the other and not replaced that is P(B/A) is equals to [tex]\frac{1}{2}[/tex].
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Conditional probability ' P(B/A)' = P(A∩B) / P(A)
According to the question,
Total number of tiles = 15
Number of while tiles represented by 'A' = 3
Number of purple tiles represented by 'B' = 7
Number of black tiles= 5
Total number of outcomes = 15 × 14
= 210
Favourable outcome for A = 3 × 14
= 42
Favourable outcomes for A∩B = 3 × 7
= 21
Probability of A
'P(A)' = [tex]\frac{42}{210}[/tex]
Probability of A∩B
'P(A∩B)' = [tex]\frac{21}{210}[/tex]
Substitute the value in the conditional probability we get,
Probability for P(B/A) = [tex]\frac{\frac{21}{210}}{\frac{42}{210} }[/tex]
= [tex]\frac{1}{2}[/tex]
Hence, Option(D) is the correct answer.
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can you guys do 1 and 3 for me
Answer:
1) DE = 18
3) [tex]x=18[/tex]
Solve for x:
[tex]x=18[/tex]
Step-by-step explanation:
1) [tex]19-1=18[/tex]
3) [tex]2x-32+2x-23=4x-55;4x-55=17;x=18[/tex]
Tip:
DE + EF = DF = 19
IJ + JK = IK = 17
Divide 18 in two parts so that sum of their reciprocals is 2/5
Answer:
3.6
Step-by-step explanation:
I think that is the answer but im not 100 percent sure
The big room measured 19 ft 10 in. by 22 ft 1 in. About how many square feet of carpet are needed to re-carpet the big room?
Answer:418 5/6
Step-by-step explanation:
First get everything into inches and multiply than divide to get it into feet and the remainder is the inches but you can have a fraction
help me please and thank u
Answer:
4
Step-by-step explanation:
Can you please help me with my homework I don’t get it.
Question 1
(a) Using Geometry Vocabulary, describe a sequence of transformations that maps figure X onto figure Y.
(b) Write the Transformation Mapping Rule(s) for the sequence you described in part (a).
- No text entered -
Question 2
Jonny is writing a program for a video game. For one part of the game he uses the rule given below to move objects on the screen.
Showing all your work, give the output that the rule gives for the inputs.
(x, y)→(x−7.5, y+6.8)
First input: (5.3, 2.7)
Second input: (9.4, -3.9)
Question 3
Triangle ABC has its vertices at the following coordinates:
A(-5, 2) B(-3, 1) C(-1, 5)
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise rotation about the origin.
Answer: Question 1 = reflection over y axis, transformation 1 unit to the left
Step-by-step explanation:
On Halloween night, Mack collects x pieces of candy and then eats 7 pieces. The next day he eats 10% of his candy pieces and has 63 pieces remaining. How many pieces of candy did he collect on Halloween night?
Answer:80 or 1,071
Step-by-step explanation:
first you add 7+10=17 then you do 17x63=1,071
if its not times then the answer would b 80