The maximum possible total amount of money would be = 13.23 £
What is Linear Equation ?
Linear Equation can be defined as the equation in which the highest degree of the variable is one.
Given,
To the nearest pound, tim has £8
To the nearest 50p, sue has £4.50
so, to the nearest pound, tim has £8
=> 7.5 ≤ Tim has < 8.5
sue has £4.50
to the nearest 50 p
=> 4.25 ≤ Sue < 4.75
=> possible total amount of money
= 7. 5 + 4.25 ≤ Amount < 8.5 + 4.75
=> 11.75 ≤ Amount < 13.25
maximum possible total amount of money would be less than 13.25
and in term of paisa maximum < 4.75 = 4.74
and maximum less than < 8.5 = 8.49
Hence maximum possible total amount of money would be = 13.23 £
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Express the following in exponential notation: (-4) x ... x (-4) 11 times
Given:
The expression is:
[tex](-4)\times ...\times (-4) (11\text{ times})[/tex]
To find:
The exponential notation for the given expression.
Solution:
We know that
[tex]a\times a\times ...\times a(n\text{ times})=a^n[/tex] ...(i)
We have,
[tex](-4)\times ...\times (-4) (11\text{ times})[/tex]
Using (i), the given expression can be written as:
[tex](-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}[/tex]
Therefore, the exponential notation of the given expression is [tex](-4)^{11}[/tex].
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
86.2
Step-by-step explanation:
WOMENA NGO provides transport refund to every member who attend a seminar as below. a Trainer of trainers (TOT) is given 40% of the money, a Trainer is given 30% of the money,a student lead and other participants share the remaining percentage equally.As a learner,using the knowledge of angles,drawing figures and percentages, draw a pie chart that would help the organization distribute the Transport refund. (Use radius of 4cm)
Therefore , the solution to the given question of percentage comes out to be 7.89.
What is a percentage?A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.
Here,
Given : 40% of the money, a Trainer is given
30% of the money ,a student lead
Find the discount
40 * .15 = 6
Take this from the original price
0.30* 6.3 =1.89
The sale price is 6 + 1.89 =7.89
Therefore , the solution to the given question of percentage comes out to be 7.89.
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To win the game, the team must score at least 8 goals. What inequality represents the number of goals, g, the team must score
So, on solving the provided question, we can say that to form a inequality - x * y > 8
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
here to form a inequality-
let x = goals by each player
y = no. of players
x * y > 8
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Which best describes the required locus? all points in a plane equidistant from two given points in the plane.
A. two circles with the same radius, one around each point
B. a line on either side of the line through the points, both parallel to the line through the points and equally distant from it
C. the line that is a perpendicular bisector of the segment connecting the two points
D. the line that has the given points as endpoints
Answer:
C.
Step-by-step explanation:
The line that is a perpendicular bisector of the segment connecting the two points.
Answer:
C. The line that is a perpendicular bisector of the segment connecting the two points
Step-by-step explanation:
I took the test and got it right.
At a certain university, the average attendance at basketball games has been 2,925. This year the attendance for the first 15 games has been 2,515 with a standard deviation of 585. The athletic director claims that the attendance is the same as last year. If what are the critical values for this two-tailed t test
The absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.
population mean assumed to be 2925
sample mean = 2515
standard deviation of sample = 585.
sample size = 15
t-score is indicated because the standard deviation is taken from the sample rather than from the population.
t-score = (x - m) / s
x is the raw score
m is the raw mean of the population
s = standard deviation of sample/sqrt (sample size) = 585/sqrt(15) = 151.6217 rounded to 4 decimal places.
degrees of freedom = 15 minus 1 = 14.
t-score = (2515 - 2925)/151.6217 = -2.7123 rounded to 4 decimal places.
you need to know the confidence level.
at a 95% confidence level, the two-tailed critical t-score with 14 degrees of freedom = plus or minus 1.7613 rounded to 4 decimal places.
since the absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.
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A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height? E. 1.2 F. 3.5 G. 4.7 H. 14.1
Answer:
Step-by-step explanation:
A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height? E. 1.2 F. 3.5 G. 4.7 H. 14.1
Can you help me with this
The linear function that passes through (3,1) and has a slope of -1/2 is defined as follows:
y = -0.5x + 2.5.
The graph of the linear function is given by the image presented at the end of the answer.
How to define the linear function?The linear function for this problem is defined in slope-intercept format, as follows:
y = mx + b.
In which the coefficients of the function are given as follows:
m is the slope, representing the rate of change of the output variable relative to the input variable.b is the y-intercept, representing the value assumed by the output variable y when the input variable x assumes a value of zero.The slope of the function in this problem is given as follows:
m = -1/2 = -0.5
Hence:
y = -0.5x + b.
The line passing through point (3,1) means that when x = 3, y = 1, and thus the intercept b is obtained as follows:
1 = -0.5(3) + b
1 = -1.5 + b
b = 2.5.
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A large consumer goods company ran a television advertisement for one of its soap products. On the basis of a survey that was conducted, probabilities were assigned to the following events. The probabilities assigned were , , and a. If an individual recalls seeing the advertisement, what is the probability that the individual purchased the product (to 1 decimals)
0.30 is the probability that the individual purchased the product
What is probability?A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
The proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.
Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.
Let, B = individual purchased the product
S = individuals recalls seeing the advertisement.
Here, P(B) = 0.20
P(S) = 0.40
P(B ∩ S) = 0.12
Thus, P(B | S) = P(B ∩ S) / P(S)
= 0.12/0.40
= 0.30
P(B) = 0.20 < P(B | S) =0.30
Yes, thus the probability that an individual will purchase the product will increase if the individual sees the advertisement first.
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The complete question is as follows:
Based on the number of claims filed, a homeowners insurance company periodically reevaluates its premiums. It will either increase or decrease its premiums for all customers. Which measure provides the best information for its reevaluation?
The measure that provides the best information for the reevaluates of premiums by the homeowners insurance company, is A. claims per dollar value of property.
What influences a reevaluation of premiums ?Homeowners insurance companies may reevaluate premiums for a variety of reasons, including:
Changes in risk: Insurance companies regularly assess the risk associated with insuring a home, and if a home's risk profile changes, the premium may be adjusted. For example, if a home is located in an area that is prone to natural disasters such as floods or wildfires, the premium may be higher than for a home located in a safer area.Changes in the home: Homeowners insurance companies may reevaluate premiums if the homeowner makes changes to the home that increase its value or make it safer. For example, if the homeowner installs a new roof or a security system, the premium may be lowered as a result.Changes in claim history: Insurance companies may also reevaluate premiums if the homeowner makes a lot of claims or if the value of claims is higher than expected. This could lead to premium increase as the company has to cover that additional cost.This shows that claims per dollar value of a property can affect how an insurance company reevaluates rates.
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Options for this question include:
A. claims per dollar value of property
B. claims per year per city
C. claims per year
D. claims per sub-division
If a bag contains 16 red, 4 yellow, 20 blue, and 8 white balloons, what is the part-to-whole ratio of red balloons to all balloons?
A) 1:3
B) 1:4
C) 1:5
D) 1:6
Answer:
A
Step-by-step explanation:
There are 16 red balloons to 48 total. The ratio is 16:48. Simplified, it’s 1:3
What is the volume of the figure?
Answer:
yes
Step-by-step explanation:
maybe
HELP!
What is the distance between points (6, -9) and (-3, 4)?
Answer:
4 or [tex]\sqrt{250}[/tex]
Step-by-step explanation:
I used M a t h w a y. it's really helpful. Good luck.
what number is in the same ratio to 64 as 5 is to 8
Answer: 102.4
Given ratio 5:8
Let's assume the answer to be x
5÷8 should be equal to 64÷x
∴ x= (64×8) ÷ 5
=102.4
The number that has the same ratio to 64 as 5:8 is gotten as; 40
How to Calculate Ratio?
We have the ratio 5:8.
Now, we want to find the number that has the same ratio to 64 as 5:8. Thus, we will use proportion to get this;
x/64 = 5/8
Cross multiply to get;
x = 64 * 5/8
x = 40
A Find the value of the expression.
6/11 x 5/8
Please reduce your answer!
Answer:
You would multiply across and then simplify ur answer. So you would do 6*5 which is 30 and then do 11*8 which is 88. 30/88 reduced is 15/44
Hope this helped
[tex]\dfrac{6}{11} \times\dfrac{5}{8}[/tex]
When multiplying fractions, you have to multiply the numerator by numerator and the denominator by denominator.
[tex]\dfrac{6\time}{11} \times\dfrac{5}{8}[/tex]
[tex]\dfrac{6\times5}{11\times8}[/tex]
[tex]=\dfrac{30}{88}[/tex]
Reduce to simplest form:
[tex]\dfrac{30\div2}{88\div2}[/tex]
[tex]=\fbox{$\dfrac{15}{44} $}[/tex]
Solve for X. The question is what does X equal. This is a grade 7 math question.
Answer:
Step-by-step explanation:
Multiply both sides by - 21
-21 x x/-21 + 15 = 13 x -21
x + 15 = - 273
x = - 273 - 15
x = - 288
Find three consecutive positive integers such that the product of the median and largest integer is 8 times the sum of the smallest and largest interger.
The positive integers are 14, 15 and 16
What is an algebraic expression?
An algebraic expression can be defined as an expression that is made up of coefficients, terms, variables, factors and constants.
From the given information, we have that;
Let the consecutive integers be;
x, x+ 1, x+ 2
This can be represented as;
(x+1)(x+2) = 8(x + x+ 2)
Now, expand the bracket
x² + 2x + x + 2 = 8(2x + 2)
x² + 3x + 2 = 16x + 16
collect like terms
x² + 3x - 16x + 2 - 16 = 0
Add or subtract like terms
x² - 13x - 14 = 0
Solve the quadratic equation
x² -14x + x - 14 = 0
factor in pairs
x(x- 14) + 1(x -14) = 0
Then,
x = -1
x = 14
Take 'x' as 14
smallest integer = 14
Median = 14 + 1 = 15
Largest integer = 16
Hence, the values are 14, 15 and 16
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2/2+1/4 b hh b b b b b b b b b b b b
Answer:
[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{2} + \frac{1}{4}[/tex]
Required
Solve
[tex]\frac{2}{2} + \frac{1}{4}[/tex]
Take LCM
[tex]\frac{2}{2} + \frac{1}{4} = \frac{4 + 1}{4}[/tex]
[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]
Answer:
2/2 + 1/4 is 1.25 and b hh b b b b b b b b b b b b b b
Step-by-step explanation:
surface area of this triangle
On solving the provided question we can say that - area of the given triangle will be A = 60 cm sq.
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
here,
B = 8cm
H = 15 cm
A = 1/2 BH = 1/2 X 8 X 15 = 60cm sq.
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What word describes the genotype TT?
Answer: It's a homozygous dominant genotype.
Step-by-step explanation: Two capital letters or two lowercase letters are homozygous.
what is the equation for this graph pls help me and pls make sure it’s right:))
Answer:
y = 5x + 4
Step-by-step explanation:
First I found the slope by using the the definition that slope is rise/run so I saw that the y value went up from 4 to 9 which is 5 units and then the x value went up one in that same time. This means that the slope is 5/1. Then I found the y intercept by seeing where x = 0. On the graph you can see the line touches the y - axis at a value of 4 which means that the y - intercept is 4. Plugging these values into the y = mx + b equation you get y = 5x + 4.
Answer:
y = 5x + 4
Step-by-step explanation:
Slope-intercept form uses the formula y = mx + b where m is the slope and b is the y-intercept.
The slope is 5, because from one point to another, you go up 5 and over one (5/1)
So you can substitute the slope into the formula:
y = (5)x + b
The y intercept is 4 because that is where the line crosses the y axis.
So substitute that:
y = (5)x + (4)
y = 5x + 4
Eric lost 65 dollars from his pocket.
Write a signed number to represent this change.
select all pairs of vertical angles (ANSWER ASAP)
A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation to complete the function table.
The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.
The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.
When t = 0
V = 3 + 2(0) = 3 liter
When t = 1
V = 3 + 2(1) = 5 liter
When t = 2
V = 3 + 2(2) = 7 liter
When t = 3
V = 3 + 2(3) = 9 liter
When t = 4
V = 3 + 2(4) = 11 liter
When t = 5
V = 3 + 2(5) = 13 liter
Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.
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Evaluate C=2 pi r for r=8
A. C=10 pi
B. C=16 pi
C. C=28 pi
D. C=16
Answer:
If `r` and `R` and the respective radii of the smaller and the bigger semi-circles then the area of the shaded portion in the given figure is: (FIGURE) `pir^2\ s qdotu n i t s` (b) `piR^2-pir^2\ s qdotu n i t s` (c) `piR^2+pir^2\ s qdotu n i t s` (d) `piR^2\ s qdotu n i t s`
Step-by-step explanation:
Answer:C
Step-by-step explanation:Because I did this
Which graph best represents the equation x^2 + (y - 1)^2 = 3?
Answer:
smallest circle. last option
Step-by-step explanation:
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Two numbers have a sum of 21 and a difference of 6. What are these two numbers?
If the sum of 21 and a difference of 6 then the numbers are 27/2 and 15/2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The two numbers be a and b.
Therefore, (a + b) = 21 and (a - b) = 6.
Adding these two equations, The variable 'b' will cancel out and we'll have
2a = 27.
a = 27/2.
And, 27/2 + b = 21.
b = 21 - 27/2.
b = (42 - 27)/2.
b = 15/2.
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What is 37/6 - 5.25 I really need this answer ASAP
Answer:
11/12
Step-by-step explanation:
Find angle M and angle J of the isosceles trapezoid
What scale factor was used to create the dilation below centered at point C?
Answer:
-2
Step-by-step explanation:
You want to know the dilation scale factor that gives triangle A'B'C from triangle ABC.
Scale factorWe notice that point A' is 4 units down and 2 units right of C, whereas A is 2 units up and 1 unit left of C. The ratio of these distances is the scale factor.
If up and right are positive, then ...
k = (A' -C)/(A -C) = (2, -4)/(-1, 2) = -2
The dilation scale factor is -2.