After James adds stamps , the ratio of number of stamps in James's collection to the number of stamps in Roy's collection is 2:3 , the correct option is (D) 2:3 .
In the question ,
it is given that
Number of stamps that James has = 6 stamps
Number of stamps Roy has = 12 stamps
also , James adds 2 stamp to his collection ,
So number of stamps in James collection become = 8 stamps
So the ratio of number of stamps in James's collection to the number of stamps in Roy's collection is given by
= (number of stamps in James's collection)/(umber of stamps in Roy's collection)
Substituting the values , we get
= 8/12
Simplifying , we get
=2/3
Therefore , After James adds stamps , the ratio of number of stamps in James's collection to the number of stamps in Roy's collection is 2:3 , the correct option is (D) 2:3 .
The given question is incomplete , the complete question is
James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collection. After James adds these stamps, what is the ratio of the number of stamps in James's collection to the number of stamps in Roy’s collection?
(A) 1 : 2
(B) 2 : 1
(C) 3 : 2
(D) 2 : 3
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The Sweet Slice pie shop sells organic pies with locally-sourced ingredients. One night after work, Lester brings home part of a bumbleberry pie to share between his mom, dad, sister, and himself. Lester cuts the leftover pie into 4 equal parts, and each family member gets 1 6 of a whole pie.
Based on the number of equal parts that Lester divided the cake into such that each family member got 1/6 of the whole pie, the proportion of the part of the leftover pie that Lester brought home was 2 / 3
How to find the amount of cake brought back?Lester brought back part of some pie from the Sweet Slice pie shop, and then divided it into 4 equal parts for his family. This led to the family getting 1/6 of the pie each.
To find out how much of the total pie that Lester brought back from Sweet Slice pie shop, you need to add the proportions received by his family:
= 1 / 6 + 1 / 6 + 1/ 6 + 1/6
= 4 / 6
At the simplest form this is:
= 4 / 6
= 2 / 3
Rest of the question is:
How much of the pie had Lester brought back from the pie shop?
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PLEASE ANSWER QUICKLY FIRST CORRECT ANSWER WILL GET BRAINLIEST
On a sunny day, a 3-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby eucalyptus tree is 7 feet long. Find the height of the tree.
the kangaroo real height is 3 feet and shadow height is 5 feet
if the height of the tree is 7 feet so the real height of the tree is 5 feet
Does anyone know the answer to (2n -9) - (2.4n +4)? It's for homework!!
The difference between the expressions (2n -9) - (2.4n +4) is -0.4n-13
What is an algebraic expression?An algebraic expression can be defined as an arithmetic expression made up of variables, coefficients, terms, factors and constants.
They are also known to be composed of mathematical operations which may include;
MultiplicationSubtractionDivisionBracketAdditionParentheses, including other operations.Given the expressions;
(2n -9)(2.4n +4)Let's determine their difference
(2n -9) - (2.4n +4)
expand the bracket
2n - 9 - 2.4n - 4
collect like term
2n - 2.4n -4 -9
Subtract like terms
-0.4n - 13
Hence, the difference is -0.4n - 13
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Graph the inequality on the axes below. y≥3/2x-1
The graph will be a shaded region above and including the straight line y = (3/2)x-1.
We are asked to graph the inequality y ≥ (3/2)x-1. Describing the graph of an inequality, it will be a region on one side of a straight line.
So first we need to sketch the straight line, y = (3/2)x-1.
So find two points (x, y) satisfying this equation of line because a line need at least two points.
x y
0 -1
2/3 0
So first sketch a line joining the points (0, -1) and (2/3,0). This line will lie below the origin. That is, origin lies on the region above this line.
So the line y = (3/2)x-1 divided the plane into two regions, one of which represents the inequality y ≥ (3/2)x-1. So to find this required region we will check if origin lies in the region for inequality.
Substituting (0, 0) into y ≥ (3/2)x-1,
0 ≥ -1, which is true.
Thus in the graph, the region for inequality is the region where the origin lies. Hence shade the region above the line y = (3/2)x-1. This is the graph of the inequality y ≥ (3/2)x-1.
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a cellular phone company offers several different service options. one option, for people who plan on using the phone only in emergencies, costs the user $4.90 per month plus $0.52 per minute for each minute the phone is used. (a) write a linear function for the monthly cost y of the phone in terms of the number of minutes x the phone is used.
52x - 100y + 490 = 0 , is the required linear function.
What does the term "linear function" mean?
A mathematical function where the variables only occur in the first degree, where the constants are multiplied, and where the only possible combinations are addition and subtraction.
Given, the monthaly cost = y
the number of minute used = x
Hence,
the monthly cost of the phone = (4.90 + 0.52 × the number of minute used)
Given the monthly cost = y
the number of minute used = x
Hence y = 4.90 + 0.52 * x
or y = [tex]\frac{490}{100} + \frac{52}{100 } * x[/tex]
or 100y = 455 + 52x
or 52x - 100y + 490 = 0 , is the required linear function.
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If p(x) = ax²-3x+10, for what value(s) of a is p(-2) = f(g(-2))? May you explain how you did this.
Answer:
If p(x) = ax²
-3x+10
p(-2) =
f(g(-2))
The two-way table shows information about the subjects studied by
some people.
a)
b)
Male
Female
Total
Chemistry Biology Physics
12
14
16
16
28
20
34
12
28
Total
42
48
90
How many people are male OR study Biology OR both?
What is the probability that any person is male OR
studies Biology OR both?
Part (a)
We can add the total number of males and the total number of students who take biology, and then subtract the intersection.
[tex]42+34-14=62[/tex]
Part (b)
There are 90 people in all, so the probability is [tex]\frac{62}{90}=\frac{31}{45}[/tex]
Please give me some help
Please help me ill give brainly to best answer
Assuming they work until their cost become the same, obviously.
The difference between the first charge of painter A and painter B = 376 - 280 = 96.
The hourly cost difference between painter B and painter A = 15 - 12 = 3.
So, painter A in the first hour has 96 more dollars than painter B, and as every hour pass, the difference goes down by 3 (as painter B gets 3 more dollars every hour)
Therefore, it would take 96 : 3 = 32 hours for the cost to be the same
Recheck : After 32 hours, painter A has 376 + 32 x 12 = 760 (dollars)
painter B has : 280 + 15 x 32 = 760 (dollars)
HELP PLS I NEED THIS TODAY
What are the similarities and differences between number 1 and 3?
What are the similarities and differences do you see between 3 and 4
For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous
WILL GIVE BRAIN
The correct responses for the arithmetic and exponential sequence and function are;
1. First part; 32 pennies
Second part; Approximately 50 days
2. 24.6 gallons
3,738.5 minutes
3. $67.2
Approximately 24 months
4. 1106.14 gallons
66.56 minutes
The difference is 1 is an arithmetic sequence while 3 is an exponential function
What is a an arithmetic sequence?An arithmetic sequence is a group of numbers in which the difference between subsequent terms is a constant
1. The given parameters are;
The initial amount Savannah placed in the piggy bank = 5 pennies
The amount given to Savannah each day = 3 pennies
Required;
First part;
The amount Savannah will have after 10 days
Solution;
The mathematical model for the situation is an arithmetic sequence or progression
The equation for an arithmetic progression is;
[tex]a_n = a_1 + (n - 1) \times d[/tex]
Where;
[tex]a_n[/tex] = The amount after n days
[tex]a_1 [/tex] = The first amount Savannah placed in the piggy bank = 5 pennies
n = The number of days
d = The common difference between the amount present in consecutive days = 3 pennies
The amount after 10 days is therefore;
[tex]a_{10} = 5 + (10 - 1) \times 3=32[/tex]
The money after 10 days is 32 pennies
Second part;
The number of days it would take for there to be $1.50 in the piggy bank.
Solution;
100 pennies = $1.00
Therefore;
$1.50 = 150 pennies
Which gives;
150 = 5 + (n - 1) × 3
(n - 1) × 3 = 150 - 5 = 145
(n - 1) × 3 = 145
n - 1 = 145 ÷ 3
n = 145 ÷ 3 + 1 ≈ 49.3 ≈ 50
It will take approximately 50 days for the amount in the piggy bank to be $1.50
2. The volume of the pool = 1,500 gallons
The initial amount of water in the pool = 5 gallons
The rate at which water enters the pool = 2 gallons in 5 minutes
Required;
First part
The volume of water in the pool after 50 minutes
Solution;
2 gallons in 5 minutes = (2/5) gallons/minute = 0.4 gallons/minute
Therefore;
[tex]a_{50} = 5 + (50 - 1) \times 0.4 =24.6[/tex]
After 50 minutes, 24.6 gallons will be in the pool
Second part;
The time it will take to fill the pool is given by the equation;
[tex]1500 = 5 + (n - 1) \times 0.4[/tex]
number
Which gives;
n = 3738.5
It will take 3,738.5 minutes to fill the pool
3. The formula for finding the amount in the account is the compound interest formula;
[tex]\displaystyle{A = P\cdot (1 + r)^n }[/tex]
Where;
A = The amount in the account after n months
P = The initial amount in the account = $50.0
r = The interest rate = 3.0%
n = The number of periods (months)
After 10 months, we have;
[tex]\displaystyle{A = 50 \times (1 + 0.03)^{10} \approx 67.2 }[/tex]
The amount in the account after 10 months is therefore, approximately $67.2
Second part;
Double the initial amount is 2×$50 = $100
Which gives;
[tex]100 = \displaystyle{50 \times (1 + 0.03)^{n} \approx 67.2 } [/tex]
Which gives;
n ≈ 23.45
Therefore it will take approximately 23.45 months or approximately 24 months for the amount to double
4. Using the exponential function formula, we have;
Number of 5 minutes in 50 minutes = 10
[tex] \displaystyle{1500 \times (1 - 0.03)^{10} \approx 1106.14} [/tex]
The water remaining after 50 minutes is approximately 1106.14 gallons
The time it takes for there to be less than 1,000 gallons in the pool is given as follows;
[tex] \displaystyle{ 1000= 1500 \times (1 - 0.03)^{n}} [/tex]
Which gives;
n = 13.3
Therefore;
The water in the pool will be less than 1000 gallons after 13.3, 5 minute periods or 13.3 × 5 minutes≈ 66.56 minutes
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Could somebody help me please how did they get this answer
The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. Two cells are measured using this method: Cell C: 7.76\times 10^{-2}7.76×10 −2 centimeters Cell D: 8.4\times 10^{-4}8.4×10 −4 centimeters How many times larger is the diameter of cell C than the diameter of cell D? Write your answer in standard notation, rounding to the nearest tenth.
The number of times larger that the diameter of cell C is more than the diameter of cell D is 9.2 × 10^-6
How to illustrate the information?It should be noted that standard notation simply means writing in standard form. This is illustrated as a × 10ⁿ.
In this case, the cells are measured using this method: Cell C is 7.76 × 10^ {-2} and Cell D is 8.4×10^ −4 centimeters
It should be noted that in order to know the number of times that the cell is larger will be gotten by dividing. This will be;
= (7.76 × 10^-2) / (8.4 × 10^-4)
= 9.2 × 10^-6
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The points A(0,5), B(4,2), and C(0,2) form the vertices of a right triangle in the coordinate plane.
What is the equation of the line that forms the hypotenuse?
The equation of the line that forms the hypotenuse is y = -3/4 x + 5
Equation of a lineA line is defined as the shortest distance between two points. The equation of a line in slope-intercept form is expressed as:
y = mx + b
where:
m is the slope
b is the intercept
The coordinate points that gives the largest distance will be used. the points form the largest distance;
Using the coordinate points A(0,5), B(4,2)
Slope = 2-5/4-0
Slope = -3/4
The intercept is (0,5)
Determine the equation
y = mx + b
y = -3/4 x + 5
This gives the required equation.
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Helllllppppp plssssssssss
Answer:
A. Opens up with a vertex at (-3, -4)
Step-by-step explanation:
y = (x + 3)² - 4
Vertex: (-3, -4)
Min: y = -4
min = up
I hope this helps!
The given equation represents the equation of a parabola and it represents the curve open up with vertex (-3, -4).
Hence, option A is correct.
A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).
The given equation is:
y = (x +3)² - 4
Since we know that,
An equation of the parabola is
y = a(x - h)² + k
Where (h, k) is the vertex.
Comparing these equations we get
a = 1
h = -3
k = -4
So, its vertex is (h, k) = (-3, -4)
Hence,
The graph opens up with vertex (3, -4).
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What numbers are greater than 4/7 as a fraction
Answer: 1/2
Step-by-step explanation:
its greater than 4/7
1/7 would be greater
If 5.2 cm= 96% what does 4cm equal?
We calculate the ratio (in percentage) of 5.2cm to 4cm
5.2 : 4 = 1.3
Because 4cm is 1.3x less than 5.2, its percentage must also be 1.3x less than 96%
-> 4cm = 96% : 130% = approx. 73.85% (2 d.p)
PLS HELP ASAP!!! WILL GIVE BRAINLIEST
Answer:
[tex]a_5 = \frac{17}{20}[/tex]
Step-by-step explanation:
Use the general progression formula where
[tex]d=\frac{3}{20}\\a_n=\frac{1}{4}+\frac{3n-3}{20}[/tex]
Solving this for the 5th term returns the answer
[tex]a_5=\frac{17}{20}[/tex]
What transformations take f(x)=3x+1 to g(x)=-3x-5?
The transformation is:
g(x) = -f(x) - 4
So is a reflection across the x-axis followed by a translation of 4 units downwards.
What transformations take f(x) to g(x)?Here we have the two functions:
f(x) = 3x + 1
g(x) = -3x - 5
So we start at f(x), first we apply a reflection across the x-axis so we change the sign to get:
g(x) = -f(x) = -3x - 1
Now we can apply a translation of 4 units downwards so we get:
g(x) = -f(x) - 4 = -3x - 1 - 4 = -3x - 5
And in this way we transformed f(x) into g(x).
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slope and y intercept of −0.75x + y = 4
pls help!!!! will give brainliest
Answer:
x(-5.3,0)
y(0,4)
slope 0.75
Step-by-step explanation:
Complete each ordered pair so that it is a solution of the given linear equation.
x-2y=5 ( ,1) (15, )
The first ordered pair is ?
The second ordered pair is?
Answer:
it
should be something along the lines of math
please help with question fast and provide explanation so I can understand
Answer:
A
Step-by-step explanation:
C means the number of miles into the city, while H means the miles on the highway. If (c,h) becomes (138,200), this means that c=138 and h=200. So, 138 miles can be traveled into the city while 200 can be traveled on the highway. hope this helps!
What is the product of 28x32
Answer:
896
Step-by-step explanation:
28x32 gives u 896 so that will b your product
list two ways you can maximize a tax-sheltered retirement program
The ways that you can maximize a tax-sheltered retirement program include:
1. when the contributions made by the employer are not taxable
2. when the employee has started making contributions early in life,
What is a tax-sheltered retirement?A tax-sheltered is a retirement savings plan that enables self-employed individuals and workers of tax-exempt organizations to invest pretax money to create retirement income. A dependable source of income in retirement, tax-sheltered annuities are made to pay out consistently throughout time.
The fact that employer contributions are tax-free is one of the best features of retirement programs. Only when an employee takes money out of their retirement accounts do taxes need to be paid. If the employee starts making contributions early in life, the plans also allow the employee the chance to maximize returns, which is another benefit that the employee can get from them.
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What is the slope of the line?
You can use the formula to help.
◄) slope =
11
3/2 - Y1
2₂-1
?
10043
90
80
70
60
50
40
30
20
10
0
0 1
2
3
(4, 100)
(3,75).
4
5 6 7 8
9
H
10
The slope of the given line is m =25.
The two points of the given line is (3,75) and (4,100).
The slope of the given line can be found using the formula point-slope equation.
y₂-y₁ = m(x₂-x₁)
We need to find the slope, so let us rearrange the equation,
m = y₂-y₁ / x₂-x₁
where (x,₁y₁) and (x₂,y₂) is (3,75) and (4,100) respectively
So let us substitute these values in the above equation, we get
m = 100 - 75 / 4 -3
m = 25/1
m = 25
Therefore, the slope of the line passing through the point (3,75) and (4,100) is 25
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Richard and teo have a combine age of 19 Richard is 4 years older than twice teo age how old are Richard and teo
A student calculated that a toy cart would roll 15.6 centimeters before stopping. After conducting an experiment, she found that her calculation had a 30% error. What are two possible values for the actual distance that the toy cart rolled before stopping?
Possible values for the actual distance that the toy cart rolled before stopping with 30% error in the calculation conducted earlier is equal to 10.92centimeters.
As given in the question,
Distance covered by toy cart before stopping =15.6
Percentage of error found in calculation= 30%
30% of 15.6
= (30/100) × 15.6
= 4.68cm
Possible value for the actual distance that toy cart rolled before stopping
= Calculated distance - error distance
= 15.6 -4.68
=10.92centimeters
Therefore, possible values for the actual distance that the toy cart rolled before stopping with 30% error in the calculation conducted earlier is equal to 10.92centimeters.
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Find the value of f(4) for the function.
f(x) = -7(x + 2)
=(Simplify your answer.)
f(4)=
Answer:
Substitute x = 4 into f(x).
f(4) = -7(4+2)
= -28-14
= -42
find the value of $a 2 a 4 a 6 \dots a {98}$ if $a 1, a 2, a 3, \dots$ is an arithmetic progression with common difference 1, and $a 1 a 2 a 3 \dots a {98}
value of a2+a4+a6+……+a98 IS EQUAL TO 93.
Given, the common difference (d) =1
Let a1=a Given, a1+a2+……+a98=137
⇒(98/2)(2a+97)=137 [Sn=n/2[2a+(n−1)d]
⇒2a+97=137/49…eq.(1)
a2+a4+…+a98 (n=49 terms)
a2+a4+…+a98=49/2(a2+a98)
a2+a4+…+a98=49/2[(a+1)+a+97]
a2+a4+…+a98=49/2[2a+97+1]
a2+a4+…+a98=49/2[(137/49)+1] [using eq. 1]
a2+a4+…+a98=137/2+49/2
a2+a4+…+a98=186/2 =93
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Which table shows a proportional relationship? Responses b 2 3 8 9 14 c 4 6 16 18 28b 2 3 8 9 14 c 4 6 16 18 28 , x 1 2 3 4 5 y 4 5 6 7 8x 1 2 3 4 5 y 4 5 6 7 8 , p 1 3 5 7 9 q 3 7 11 15 19p 1 3 5 7 9 q 3 7 11 15 19 , r 2 3 4 5 6 s 3 5 6 8 9
The tables that shows a proportional relationship include the following:
x 1 2 3 4 5
y 4 5 6 7 8
p 1 3 5 7 9
q 3 7 11 15 19
What is a proportion?A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.
In Mathematics, the graph of any proportional relationship is characterized by a straight line because as the values on the x-axis (x-coordinate) increases or decreases, the values on the y-axis (y-coordinate) increases or decreases simultaneously as shown in tables B and C.
In conclusion, tables B and C comprises data values that shows proportional relationship in a graph.
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10) There are 5 times as many fiction books in the class library as there are nonfiction books. The number of information books is 7 more than the sum of the number of fiction and nonfiction books. There are 19 information books in the library. How many nonfiction books are there? How many fiction books are there?
The number of fiction and non fiction books are 10 and 2 respectively.
How to find the number of fiction and non fiction books?There are 5 times as many fiction books in the class library as there are nonfiction books.
Therefore,
let
x = number of non fiction book.
number of fiction book = 5x
The number of information books is 7 more than the sum of the number of fiction and nonfiction books.
Therefore,
number of information book = 7 + x + 5x
number of information book = 7 + 6x
There are 19 information books in the library.
Hence,
19 = 7 + 6x
19 - 7 = 6x
6x = 12
x = 12 / 6
x = 2
Therefore,
The number of non fiction book = 2
The number of non fiction book = 5(2) = 10
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