The rate of inflation of potatoes is 0.019.
The rate of inflation of Oranges is 0.019.
The rate of inflation of Ground beef is 0.019.
What is Rate of Inflation?Inflation is an increase in the level of prices of the goods and services that households buy. It is measured as the rate of change of those prices.
Given:
Here, the annual rate of inflation r (in decimal form) is given by
r = [tex](p_2/ p_1)^{1/n[/tex] - 1
Now, The average price of a potatoes increased from $0.620 in 2009 to $0.749 in 2019.
Thus, The required rate of inflation,
r = [tex](0.749/ 0.620)^{1/10[/tex] - 1
r = 1.019 - 1
r = 0.019
Now, The average price of a Oranges increased from $0.910 in 2009 to $1.280 in 2019.
Thus, The required rate of inflation,
r = [tex](1.280/ 0.910)^{1/10[/tex] - 1
r = 1.034 - 1
r = 0.034
Now, The average price of a Ground beef increased from $2.251 in 2009 to $3.375 in 2019.
Thus, The required rate of inflation,
r = [tex](3.775/ 2.251)^{1/10[/tex] - 1
r = 1.0321 - 1
r = 0.0321
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Check Understanding th
Math
Board
1 There are 46 swimmers and 7 lanes. The same number of
swimmers will go in each lane. Any remaining swimmers will
practice diving. How many swimmers will each lane have?
• Write a division equation to model the problem.
• Use the space at the right to show how you can use
repeated subtraction to solve.
Each lane will have ______
Module 6 Lesson 5
swimmers.
Answer: To model the problem with a division equation, we can write 46 ÷ 7 = x, where x represents the number of swimmers that each lane will have.
To solve the equation using repeated subtraction, we can subtract 7 from 46 several times until we reach a number that is less than 7. The number of times we subtract 7 will give us the number of swimmers each lane will have. Here's one way to do it:
46 - 7 = 39
39 - 7 = 32
32 - 7 = 25
25 - 7 = 18
18 - 7 = 11
11 - 7 = 4
As you can see, we are able to subtract 7 from 46 a total of 6 times before we get a number less than 7. This means that each lane will have 6 swimmers, and the remaining 4 swimmers will practice diving. So each lane will have 6 swimmers.
So the equation 46 ÷ 7 = 6, and also by repeated subtraction method it shows the same result of 6 swimmers each lane.
Step-by-step explanation:
Which problem situation matches the
equation $95.25 = 15p?
A Cassie is paid $95.25 for 15 hours
of work. Find p, the amount she
was paid per hour.
B Kris is paid $6.35 per hour for
mowing the lawn. Find p, the
amount he is paid for 15 hours of
mowing.
CA iPad was on sale for $95.25. Find
p, the amount Noah needs to buy
the iPad if he already has $15.
D Fifteen friends spend $95.25 each
for tickets to a Cowboy's game.
Find p, the amount they paid total.
Answer:
Step-by-step explanation:
Which problem situation matches the
equation $95.25 = 15p?
So We Can Just Cross B Cause $6.35 Wasnt Even In The equation
Lets look at A.
So Im pretty sure its A, But Lets look at the rest.
.
D Wouldnt Work Cause It Says The Spend $95.25 EACH
C dont work so its A.
Akira is setting tables at the restaurant where she works. She starts with a pile of 85 napkins, and she places 6 napkins on every table she sets
Write an equation that shows how the number of napkins remaining, y, depends on the number of tables akira sets, x
Answer: y = 85 - 6x
Step-by-step explanation:
Number of napkins remaining: y
Number of tables set: x
Akira starts out with 85 napkins. So, every time she sets a table, she is losing 6 napkins. The steady rate of napkins lost can be written with the following expression, as she is losing 6 napkins per table.
[tex]-6x[/tex]
These napkins are being removed from the total of 85 napkins:
[tex]85 - 6x[/tex]
The above equation also expresses the number of napkins remaining. Writing it as a proper equation:
[tex]y = 85 - 6x[/tex]
The final answer is: y = 85 - 6x
A line has a slope of 3/8 and passes through the point (15.2,-7)
The equation of the line in point-slope form is???
ANSWERS↓↓
Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)
where:
m is the slope.(x₁, y₁) are the coordinates of the point.Equation of a line in this caseIn this case, you know:
A line has a slope of 3/8.The line passes through the point (15.2,-7).The point-slope form of the line is written as:
y- (-7)= 3/8(x- 15.2)
y + 7= 3/8(x- 15.2)
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A pre-paid cell phone company charges $10.35 as a monthly access fee and $0.08 per minute of calling time.
Express the monthly cost C in terms of minutes of call time ?
What will the monthly cost be if you make 280 minutes of calls this month?
Answer: $32.75
Step-by-step explanation:
If each call costs $0.08 and you make 280 minutes worth of calls this month you'll have made $22.04 worth of phone calls plus the monthly access fee ($10.35) if you add both those fees you'll be left with a bill of $32.75.
I hope this answer helped you. :)
Answer:
$32.75
Step-by-step explanation:
10.35 + (0.08×280)
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average? Tasha, because she has the lowest ratio since 0.9 > 0.8
B) Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
C) Jana, because she has the lowest ratio since 0.9 > 0.8
D) Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30
Step-by-step explanation:
as the description says, the higher the ratio the better.
9/10 = 0.9
12/15 = 4/5 = 0.8
so, Tasha has the better batting average, as she has the higher ratio.
9/10 = 27/30
12/15 = 24/30
27/30 is higher than 24/30.
a restaurant offers 7 appetizers and 9 main courses. In how many ways can a person order a two-course meal
If an 8-foot pole casts a 6-foot shadow at the same time a nearby tree casts
a 33-foot shadow, how tall is the tree (in feet)?
Answer:
The tree is 44 feet
Step-by-step explanation:
[tex]\frac{8}{6}[/tex] is equivalent to [tex]\frac{4}{3}[/tex] (divide the numerator and denominator by 2)
[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{33}[/tex]
3 x 1 = 33, so 4 x 11 = 44
what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right
Answer:
To calculate the percent of change for your grade, you will need to know your original grade and your revised grade. If you originally got 5 questions right and you checked your work and ended up with 15 questions right, you can calculate the percent of change as follows:
Subtract your original score from your revised score to find the difference: 15 - 5 = 10
Divide the difference by your original score and multiply by 100 to express the change as a percentage: (10 / 5) x 100 = 200%
This means that your grade increased by 200%.
Step-by-step explanation:
Is (7, 9) a solution of y > 2x − 5?
HELP
Answer:
no
Step-by-step explanation:
y > 2x - 5
9 > 2(7) - 5
9 > 14 - 5
9 > 9. not a solution
9=9
-|-5| what is the absolute value
Answer:
-5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
negative times negative equals positive
eva invest $120 at a rate of 3% per year compound interest. calculate the total amount eva has after 2 years
Answer:
Eva has $127.31 after 2 years.
Step-by-step explanation:
Here is the formula for compound interest
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the initial amount, [tex]r[/tex] is the interest rate as a decimal, [tex]n[/tex] is the number of times the interest applied per time period, and [tex]t[/tex] is the number of time periods.
We are given
[tex]P=120\\r=0.03\\n=1\\t=2[/tex]
Substitute our numbers into the equation
[tex]A=120(1+\frac{0.03}{1})^{1*2}[/tex]
[tex]A=120(1.03)^{2}[/tex]
[tex]A=120*1.03^{2}[/tex]
[tex]A=120*1.0609[/tex]
[tex]A=127.308[/tex]
Simplify (3x^2y^5)^3
Work Shown:
[tex]\left(3\text{x}^2\text{y}^5\right)^3\\\\\left(3\right)^3\left(\text{x}^2\right)^3\left(\text{y}^5\right)^3\\\\27\text{x}^{2*3}\text{y}^{5*3}\\\\27\text{x}^{6}\text{y}^{15}\\\\[/tex]
Explanation:
The outer exponent 3 is "distributed", so to speak, to each term inside the parenthesis. This isn't the actual distribution rule. But we can think of it as such. This is what's happening in the second step.
So we'll cube the coefficient 3 to get 3^3 = 27, and we'll cube x^2 to get x^6, and finally cube y^5 to get y^15.
I used the rule [tex](a^b)^c = a^{b*c}[/tex] for the third step.
Which graph represents the solution to 1/7 m < - 1/22
The graph representing the solution will be of the form a line tending towards left from the point -7/22.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Here the given inequality is less than inequality.
1/7 m < -1/22
Dividing both sides by 1/7, we get,
m < -1/22 ÷ 1/7
m < -1/22 × 7/1
m < -7/22
Hence the graph of the solution will be of the form a straight line tending leftwards from -7/22.
Hence the graph of the given inequality is a straight line tending leftwards from -7/22.
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Write 49D2
in the base-ten system.
Each position in base 10 is worth ten times the place to its right, and there are ten numbers (0–9). 49D2 in the base-ten system is equal to 204064.
What does base-10 value 2 have?When you come to "two," you discover that there isn't a single digit in base-two math that stands for "two." Instead, you enter a "1" for "1 two" and a "0" for "0 ones" in the twos and units columns, respectively.
[tex]49D2 in the base-ten system is 4916^3 + 1316^2 + 216^1 \\\\= (494096) + (13256) + (216) \\\\= 200704 + 3328 + 32\\ \\= 204064[/tex]
Binary has a basis of 2 or 10.A binary counting system simply employs the numerals 0 and 1 in each place. Base 2 is another name for binary. In binary, a second place is required to represent a number greater than 1.
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Compare.
2.2O 14/4
A. <
B. >
C. =
Answer:≤ sorry if it's wrong I'm not a fan of math
Step-by-step explanation:
Tony purchased a total of 18 bikes and magazines.Each book costs $12.How many books and magazines did he buy for $240
(You must define you variables and show your equations)
Tony purchased 12 books and 6 magazines for a total of $240.
What is equation?An equation is a mathematical statement that expresses two or more mathematical expressions as equal. It typically consists of an equals sign (=), two or more variables, and a number or operation that links them. Equations are often used to solve problems, model real-world situations, and to make predictions.
He bought 12 books for $12 each, and 6 magazines for $12 each. Thus, the total cost of 18 books and magazines was $240.
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Whoever answers the previous question after this gets 50 points and brainliest if correct.
Step-by-step explanation:
I said it I knew it I did it I submit for you so I'm the one that is if if you know me.
What is the reciprocal of 1 4/13
Answer:
[tex]\frac{13}{17}[/tex]
Step-by-step explanation:
just a tip use math-way in the future it's always been great
Hope this helps!
An English teacher reviewed 2 3 of an essay in 1 4 of an hour. At this rate, how many essays can she review in 1 hour? Simplify your answer and write it as a proper fraction, mixed number, or whole number. essays
The essays that she can review in 1 hour would be; 2 2/3.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.
Thus, Fraction of the essay reviewed = 2/3
Amount of time used = 1/4
Therefore, the fraction of essay for an hour can be calculated as;
= Fraction of the essay reviewed / Amount of time used
= 2/3 ÷ 1/4
= 2/3 × 4
= 8/3
= 2 2/3
Hence, She will review 2 2/3 essay.
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The manager of a theatre recorded the number of people that brought tickets for each movie. What is the probability that next person in line will purchase a ticket to see movie #2
how many movies were there?
A women went to Shopping.First she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining. Now she has 10$ left. How much money did she spent?
The amount of money that was spent is $120.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
In this case, the women went to Shopping and first she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining.
The fraction of money left will be:
= 1 - 4/5 - (2/3 × 1/5)
= 1 - 4/5 - 2/15
= 1/15
Since she had $10 left the original amount will be:
= $10 ÷ 1/15
= $10 × 15
= $150
The amount spent will be:
= 4/5 × $150
= $120
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Simplify. Negative square root of 16y^2 if y<0
Answer:
The square root means that IF you square the square root, you will get the original number. Thus, 16 squared = 256 and y^2 squared = (y^2)(y^2) = y^4
Step-by-step explanation:
The length of a rectangle is four times its width. If the area of the rectangle is 196 yd², finds its perimeter.
Answer:
perimeter = 70 yards
Step-by-step explanation:
⭐What is the area of a rectangle?
area = length * width⭐What is the perimeter of a rectangle?
perimeter = 2(length) + 2(width)Strategy1. Make the equation for the area of the given rectangle and solve for x
2. Substitute x into the expressions of the length and width and solve for the perimeter
Working1. Define the expressions of the length and width of the rectangle
width: x
length: 4x
2. Make the equation for the area of the rectangle
[tex]196yd^2 = 4x * x\\196yd^2 = 4x^2[/tex]
3. Solve for x
[tex]\frac{196}{4} = x^2[/tex] . . . . . . . . . . divide both sides by 4
[tex]49 = x^2[/tex]
[tex]\sqrt{49} = \sqrt{x^2}[/tex] . . . . . . . . square root both sides to isolate x
∴ [tex]7 = x[/tex]
4. Substitute x into the expressions of the length and the width
width: x
width = 7
height: 4x
height = 4(7) = 28
5. Solve for the perimeter
[tex]perimeter = 2(length) + 2(width)[/tex]
[tex]perimeter = 2(28) + 2(7)\\perimeter = 56 + 14\\perimeter = 70[/tex]
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What is the sum of 1/2 + 3/10?
Answer:
The answer is 3/20 or 0.15
I wish you luck in your assignments.
Geometry homework :/
The length of PZ is 7 units.
What is Centroid Property?According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the side midpoints.
Given:
As, Centroid is the point where all median of a Triangle intersect.
Here, we have centroid 'P'.
Now, using the property of Centroid that the Centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.
So, SP = 1/3 SZ => SZ = 3SP
and, PZ = 2/3 SZ => SZ = 3/2 PZ
Then, 3SP = 3/2 PZ
3(3.5) = 3/2 PZ
10.5 x 2 = 3 PZ
21 = 3PZ
PZ = 7 units
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Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which results are
probable to happen according to theoretical probability? Select TWO answers.
On solving the question, we can say that - the probability of given will be P(a/c) = 3/6 = 1/2
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
here,
the probability that event the dice will roll is 6
and chances of geting even numbers are = 3
so P(a/c) = 3/6 = 1/2
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PLEASE HELP ASAP DUE TODAY NOW!!!!!!!!!!!
Answer:
0.910
Step-by-step explanation:
since it'snot perfect it can't be one and since it a positive slope it is 0.9102.
The function f(x)= square root of x is translated using the rule (x,y) (x-7,y+2) to create f(x)what is the domain of f(x)?
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be [7, ∞).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = √x
The function after the transformation, then we have
f(x) = √(x - 7) + 2
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be given as,
x - 7 ≥ 0
x ≥ 7
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Is this a polynomial? 3x^-2-5
On solving the provided question, we can say that - the value of the following polynomial will be 3x^2 = 5 => x^2 = 5/3
what are polynomials?A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.
here,
[tex]3x^{-2}-5[/tex]
3x^2 = 5
x^2 = 5/3
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