Answers
Answer:
£15.10
x + 20
64 counters in the bag
Total money = £21.30
Step-by-step explanation:
20p = £0.20
50p = £0.50
100p = £1.00
Total value:
⇒ 8 × 20p + 5 × 50p + 11 × £1 = 8 × 20p + 5 × 50p + 11 × 100p
= 160p + 250p + 1100p
= 1510p
= £15.10
-----------------------------------------------------------------------------------------------------
20 more than x: x + 20
-----------------------------------------------------------------------------------------------------
If one quarter of the counters in a bag are yellow, and there are 16 yellow counters in the bag:
⇒ total number of counters in the bag = 16 × 4 = 64
-----------------------------------------------------------------------------------------------------
Let x = number of 20p coins
Let y = number of 50p coins
Let z = number pf £1.00 coins
Given:
20p coins are worth £2.80⇒ 0.20x = 2.80
⇒ x = 2.80 0.20
⇒ x = 14
Therefore, there are 14 twenty pence coins.
Given:
One third of the coins are 20p coinsWe have calculated that there are 14 twenty pence coins, therefore:
⇒ total number of coins = number of 20p × 3
= 14 × 3
= 42
As the total number of coins is 42:
⇒ x + y + z = 42
⇒ 14 + y + z = 42
⇒ y + z = 42 - 14
⇒ y + z = 28
Therefore, the total number of 50p and £1 coins is 28.
Given:
10 more 50p coins than £1 coins⇒ y = z + 10
Substitute y = z + 10 into y + z = 28 and solve for z:
⇒ (z + 10) + z = 28
⇒ 2z + 10 = 28
⇒ 2z = 18
⇒ z = 9
Therefore, there are 9 one pound coins
total number of coins:
⇒ x + y + z = 42
substituting the found values of x and z:
⇒ 14 + y + 9 = 42
⇒ 23 + y = 42
⇒ y = 19
Therefore, there are 19 fifty pence coins
20p coins = 14
50p coins = 19
£1 coins = 9
Therefore, total money:
= 14 × 20p + 19 × 50p + 9 × 100p
= 280p + 950p + 900p
= 2130p
= £21.30
Related Questions
Which point is located at -8.65−8.65minus, 8, point, 65?
Answers
The question is an illustration of a number line, and the point located at -8.65 is B
How to determine the point?From the complete question, we have the following highlight
Point B is between -8 and -9, and point B is closer to -9 than -8
No other point is between -8 and -9
So, we can conclude that the point located at -8.65 is point B
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What is the mean absolute deviation of 10,9,3,8,10
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Answer:9
Step-by-step explanation:
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Answer:
Upward
Step-by-step explanation:
On a standard graph, the horizontal line is the x-axis and thr vertical is the y-axis
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Answer:
c would be a good answer I am not sure but c would be the answer
help me pls! giving out brainliest
Answers
Answer:
1) 3/2
2) 13/10
3) 1/3
4) 9/7
5) 13/20
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 4, 20,100. WILL GET BRAINLIEST!!!!!
Answers
Answer:
aₙ = 4(5)ⁿ⁻¹
Explanation:
To identify a geometric series: second term = √(first term * third term)
Here given:
1st term: 42nd term: 203rd term: 100check ============
20 = √(100*4)
20 = √400
20 = 20 Hence its a geometric term.
Find common difference (r):
20/4 = 5 or 100/20 = 5
Geometric term formula:
aₙ = a₁(r)ⁿ⁻¹ [where a1 is the 1st term, r is common difference]
insert values found
aₙ = 4(5)ⁿ⁻¹ ......this is the nth term.
4,20,100
First term=a=4Common ratio
r=20/4=5Now
explicit formula
a_n=ar^{n-1}a_n=4(5)^{n-1}When building a house, the number of days required to build is inversely proportional to with the number of workers. One house was built in 110 days by 8 workers. How many days would it take to build a similar house with 44 workers?
Answers
Answer:
605
Step-by-step explanation:
1. 110:8
2. 110÷8=13.75
3. 13.75×44=605
A train travels from City A to City B. The table below shows the distance and
the amount of time it takes on the train.
Distance (km)
12
24
42
Time (in minutes)
2 4 7
O The train does not always go the same distance each minute.
O The train appears to go the same distance each minute.
Predicted distance traveled in 9 minutes: km
Answers
Based on the information provided in the table, the train appears to go the same distance each minute.
Does the train go the same distance each minute?
In order to determine if the train travels the same distance each minute, the average speed of the train has to be determined. Average speed is the total distance travelled per time.
Average speed = total distance / total time
Average speed when distance is 12km = 12 km /2 = 6km/hrAverage speed when distance is 24km = 24 km /6 = 6km/hrAverage speed when distance is 42km = 42 km /7 = 6km/hrTo learn more about average speed, please check: https://brainly.com/question/21734785
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Match each equation to its graph. use the drop-down menus to describe the equations. y = x 1 y = x2 y = ( 3 2 ) x y = x2 2 x2 − 2
Answers
The following equations are described as follows:
y = x+1 Lineary = x² Quadraticy=[tex](3/2)^{x}[/tex] Exponentialy = x²+2/x²-2 Rational.What are equations?An equation is a mathematical expression that shows the relationship between two or more mathematical variables that are equal to one another using the equal sign.
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Find the equation of a line that is parallel to 2x + 6y - 7 = 0 and crosses the x - axis at x=3
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Bottom part, I need a answer quick please help!
Answers
Answer: 1/2, -12
Step-by-step explanation:
[tex]y = (2x - 1)(2x + 24)[/tex]
Set both sets of expressions in parenthesis equal to 0
[tex]2x-1=0, 2x+24 = 0[/tex]
solve...
[tex]x=\frac{1}{2}, x=-12[/tex]
Steven's family traveled 7/10 of the distance to his aunt’s house on Saturday. They traveled 2/3 of the remaining distance on Sunday. What fraction of the total distance to his aunt’s house was traveled on Sunday?
Answers
Answer:
Step-by-step explanation:
Answer: 1/5 of the total distance to his grandmothers house was traveled on Sunday
The total distance to to his grandmothers house is assumed to be 1
Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. The remaining distance would
1 - 7/10 = 3 /10
They traveled 2/3 of the remaining distance on Sunday. This means that the distance that they travelled on Sunday is
2/3 × 3/10 = 2/10 = 1/5
3.
In the diagram shown below, AC is tangent to circle o at A and to circle Pat C, OP intersects AC at B, OA
AB = S, and PC = 10.
10
X
B
Р
5
A
What is the length of BC?
A. 6.4
B. 8
C 12.5
D. 16
Answers
Answer: 12.5
Step-by-step explanation:
12.5 is the length of BC.
Here, we have,
given that,
In the diagram shown below, AC is tangent to circle o at A and to circle Pat C, OP intersects AC at B, OA = 5, AB = 5, and PC = 10.
now, we know that,
∠OAB and ∠BCP are right angles, because of the tangents.
and, ∠OBA ≅ ∠CBP (vertical angles)
thus, we get,
ΔAOB ≅ ΔCBP, by AA rule.
so, we can set up the proportion:
10/4 = x/5
or, x = 12.5
Hence, 12.5 is the length of BC.
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Help me with this question please
Answers
The figure of the cube of the length of a side is given as 18.5 in. Hence, The volume of that cube will be 6331.62 cubics in.
How to find the volume of a cube?Suppose that:
The side length of the considered cube is L units.
Then, we get:
The volume of that cube = L³ cubic units.
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WE need to find the volume of the cube,
The volume of that cube = L³ cubic units.
The volume of that cube = 18.5³ cubic in.
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Jacob wants to buy a $500,000 15-year term life policy, and the annual premium rate (per $1000 of face value) for his age group is $6.78. if jacob lives until the end of the term of his policy, how much will jacob have paid in premiums overall? a. $101,700 b. $3,390 c. $50,850 d. $73,746
Answers
If Jacob lives until the end of the term of his policy, the total amount he would have paid in premiums overall is $50,850.
How much would he have paid in premiums?
Total premium payment = (face value / average premium rate) x number of years x premium
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Answer:
C
Step-by-step explanation:
mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes ( red, blue, black, and white). if mary picks each part of her outfit randomly, what is the probability that mary's outfit will be black bouse, black pants, black shoes?
Answers
The probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have:
Mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes (red, blue, black, and white).
P(black blouse) = 1/3
P(black pants) = 1/2
P(black shoes) = 1/4
Probability that Mary's outfit will be black blouse, black pants, black shoes:
= (1/3)(1/2)(1/4)
= 1/24
Thus, the probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.
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What is the exact value of the other root?
Answers
The exact value of the other root to the quadratic equation is [tex]x = -2 - \sqrt 6[/tex]
How to express the solution?One of the root is given as:
[tex]x = -2 - \sqrt 6[/tex]
As a general rule, the solution to a quadratic equation is represented by:
[tex]x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
This means that the actual root of the given root is:
[tex]x = -2 \pm \sqrt 6[/tex]
Split the equation
[tex]x = -2 - \sqrt 6[/tex] and [tex]x = -2 + \sqrt 6[/tex]
Hence, the exact value of the other root to the quadratic equation is [tex]x = -2 - \sqrt 6[/tex]
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Find the value of x in each of the following
2x/7-3=2
Answers
Answer:
22x/7=52x=35x= 35/2
Step-by-step explanation:
hope this helps
If a galapagos tortoise lives for an average of 180 years how many years. How many years in total will be accumulated for 8 tortoises of the same age
If only half of those tortoise live to be that old and other half are half that age what is the total number of years between them now?
Answers
Answer:
1440 Years
Step-by-step explanation:
hope it helps
anyone knows this?!
Answers
Answer:
I would get two news article that have done research on lets say the weather next week, and compare how they used data, and probability citing sources of course i know it sounds complicated
Step-by-step explanation:
i dont know if this helps- but i hope it does Lol
10. The Harlem Renaissance of the 1920’s could be described as:
a) a period when African Americans gained political leadership
b) a major urban renewal project providing new houses for African Americans
c) a time of increased recognition of African American athletes
d) a rebirth of African American culture as seen through the experiences of musicians and writers
Answers
Answer:
Answer is A.
Step-by-step explanation:
I'm pretty sure lmk if I'm wrong.
Maria is camping when she starts to smell smoke. She turns on her radio and hears
that a forest fire is heading her way. How can Maria's organ systems interact to help
keep her safe? Include at least five organ systems in your response.
Answers
Maria's organ systems interact to help keep her safe Nervous system, Respiratory system, Endocrine System, Integumentary System and Muscular System.
What are the organ systems?The organ systems is the system of body which consist of different organs of the body. These organs help to work the body freely.
Maria is camping when she starts to smell smoke. She turns on her radio, to get the news that a forest fire is heading her way. The organs which help her to keep safe from fire are listed below:
Nervous system- It helps to react the body against the hazard.Respiratory system-This organ system help Maria to keep breath with increasing the breathing rate.Integumentary System-This system help to protect her inner body from external environment.Endocrine System- It will help to maintain energy level. Muscular System-This system will help to run and do physical task in the fire.Thus, Maria's organ systems interact to help keep her safe Nervous system, Respiratory system, Endocrine System, Integumentary System and Muscular System.
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please help me find area and circumference!!!
Answers
Answer:32.16
Step-by-step explanation:
AREA
A=πr2
π x 3.22≈32.16991
CIRCUMFERENCE
C=2πr
2 x π x 3.2≈20.10619
Solve this system of linear equations. Separate
the x- and y-values with a comma.
7x = -63 - 11y
Answers
Adding both
15x=30x=2Putting in second one
8(2)=93+11y11y=16-9311y=-77y=-7Answer:
2, -7
Step-by-step explanation:
QuestionSolve the system of linear equations:
8x = 93 + 11y7x = -63 - 11y-------------------------------------------------------------------------------------
SolutionAdd the equations together to eliminate y:
8x = 93 + 11y
+ 7x = -63 - 11y
-------------------
15x = 30
⇒ x = 30 ÷ 15
⇒ x = 2
Now substitute the found value of x into one of the equations and solve for y:
⇒ 7x = -63 - 11y
⇒ 7(2) = -63 - 11y
⇒ 14 = -63 - 11y
⇒ 11y = -63 - 14
⇒ 11y = -77
⇒ y = -77 ÷ 11
⇒ y = -7
Therefore, x = 2 and y = -7
A quantity y varies inversely with the square of x. If y=8 when x=3, find y when x is 4
A. 3/2
B. 7/3
C. 9/2
D. 5/3
Answers
Answer:
look at the explanation
Step-by-step explanation:
In order to solve this, we'll set up a proportion.
Since y is inversely related to the square of x, therefore:
y=4/63 ----->9 (square of x)
y=?
25 (square of x)
According to the inverse relation:
y=4/63------->25
y=? --------
-->9 and y=4/175
The length of a rectangle 3yd is less than twice the width, and the area of the rectangle is 14yd^2. Find the dimensions of the rectangle.
Answers
Answer: 4 yd x 3.5 yd
Step-by-step explanation:
A = LW
L = 2x - 3
W = x
14 = (2x - 3)(x)
14 = 2x^2 - 3x
2x^2 - 3x - 14 = 0
(x + 2)(2x - 7)
x = - 2, 7/2 or 3.5 (length cannot be negative)
x = 3.5 (width)
Length
2x - 3
2(3.5) - 3
7 - 3 = 4
Mark as brainliest please TT. Thank you :D
Hope it helps!!!
reflect the point worksheet
Answers
Answer:
I don't know the answer I thinkDoes anyone know a math equation using the distributive property that equals 15
Answers
Answer:
3(5)=x
Explenation:
3*5 is equal to 15
Please help me!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
120(I'm not definitely sure)
Step-by-step explanation:
IQR= Q3- Q1= 170 - 50 = 120
find the value of sinx if tanx=5/4
Answers
Answer:
sinx=5/√41
Step-by-step explanation:
tanx=5/4=p/b
According to Pythagoras's theroem;
h=√p^2+b^2
or, h=√5^2+4^2
or, h=√25+16
:-h=√41
Now,
sinx=p/h
=5/√41
