= 118
1=52
Ms. Boyd has 9 bills in her purse that consist
of five-dollar bills and twenty-dollar bills. The
value of the bills is worth $105. How many
five-dollars bills and twenty-dollar bills does
Ms. Boyd have?
Answer:
number of $20 bill = 4
Number of $5 bill = 5
Step-by-step explanation:
Given that:
Total number of $5 and $20 bills = 9
Let :
Number of $5 bills = x
Number of $20 bills = y
Combined worth of all bills = $105
x + y = 9 - - - (1)
5x + 20y = 105 - - - (2)
From (1)
x = 9 - y
Substitute x = 9 - y into (2)
5(9 - y) + 20y = 105
45 - 5y + 20y = 105
15y = 105 - 45
15y = 60
y = 60/15
y = 4
x = 9 - y
x = 9 - 4 = 5
Hence,
number of $20 bill = 4
Number of $5 bill = 5
what's the value of
\( \frac{2 {}^{2} }{ {5}^{2} } \)
Answer:
your answer will be 4/25
Step-by-step explanation:
.....
\( \sf Q) \frac{2 {}^{2} }{ {5}^{2} } = {?} \)
\( \sf \implies \frac{2 {}^{2} }{ {5}^{2} }\)
\( \sf \implies \frac{4}{25}\)is the required answer.
20 points please help me i need this answer
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B
Which is true of the data in the box plots? Select three choices.
The median weight for shelter A is greater than that for shelter B.
The median weight for shelter B is greater than that for shelter A.
The data for shelter A are a symmetric data set.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.
The statements that are TRUE regarding the box plots are:
A, D, and E.
The box plots are given in the image attached below.
The Five-number Summary Displayed by a Box PlotThe values displayed by a box plot for a given data are:
MedianMinimumMaximumFirst QuartileThird QuartileInterquartile range = Third Quartile - First Quartile.
Thus, shelter's A median is 21, shelter B's 18.
Interquartile range for shelter A = 28 - 8 = 20
Interquartile range for shelter B = 28 - 10 = 18
What is a Symmetric Data Set?If a data set is symmetric, a box plot that represents the data set will have the median in the middle of the box, while both whiskers will be about the same on both sides of the box.For example, the data set for shelter B is symmetric.Therefore, the statements that are TRUE regarding the box plots are:
A, D, and E.
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can someone help plz
Answer: 5/4x
Step-by-step explanation:
To solve this you'll need to use the slope formula which is
Y2 - Y1 over
X1 - X2
You already have two points so that's what we'll use.
(4, 7) (12, 17)
17 - 7
12 - 4 = 10/8
10/8 can be simplified further to 5/4
Why is the number that satisfies this equation not a real number?
x^2=--1
Answer:
I assume that says \(x^2=-1\), but that is the case because when we square a number, we can NEVER get a negative number. The smallest square we can get is 0. 1^2 is 1, and no real number squared gives us a negative number.
Step-by-step explanation:
Which student walked at the fastest rate down the hallway?
6th grader: Walked 120 feet in
15 seconds
7th grader:walked 100 feet in 10 seconds
8th grader: Walked 180 feet in 20 secs
Answer:
8th grader
Step-by-step explanation:
They walked the the fastest since they walked 50 feet more than the 6th grader in 5 more seconds ( im sorry if you dont understand! i tried my best explaining it! hope this helps :) )
if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
Prime numbers have ________.
Composite numbers have ________.
The number 1 is ________.
Answer:
1:eaxctly two factors 2:more than two factors 3:neither prime nor composite
Step-by-step explanation:
I GOT IT RIGHT!
Answer:
Answer time!!
1. exactly 2 factors
2. more than 2 factors
3. niether prime nor compisite
I need help with this math hw its' in the image
Answer:
x = 7y = 37Step-by-step explanation:
You want to know the values of x and y that make the angle measures consistent with the triangles being congruent in the given figure.
CongruenceThe side markings show congruent triangles with corresponding vertices (and angles) ...
L (3x+24)° ⇔ P (8x -11)°
M 84° ⇔ Q 84°
N (2x +y)° ⇔ R (no marking)
Corresponding angles L and P have the same measure, so ...
3x +24 = 8x -11
35 = 5x . . . . . . . . add 11-3x
7 = x . . . . . . . . . divide by 5
The measures of these angles are ...
(3(7) +24)° = 45°
Angle sum theoremThe sum of the angles in each triangle is 180°, so the measure of angle N is found to be ...
L +M +N = 180°
45° +84° +N = 180°
N = 51°
This lets us find the value of y from ...
(2x +y)° = 51°
2(7) +y = 51
y = 37 . . . . . . . . subtract 14
The value of x is 7. The value of y is 37.
I need help!! im stuck and dont understand and this is due at 12
Answer:
K is the midpoint of JL.
I hope this helps:)
A landscaper buried a water line around a rectangular lawn to serve as a supply line for a sprinkler system. The length of the lawn is 6 times its width. If 630 feet of pipe was used to do the job, what is the length and the width of the lawn
Answers:
Length = 270 feet
Width = 45 feet
========================================================
Work Shown:
x = width
6x = length, since it is 6 times the width
P = perimeter of rectangle
P = 2*(Length + Width)
P = 2*(6x + x)
P = 2*(7x)
P = 14x
Plug in the given perimeter P = 630 and solve for x.
P = 14x
14x = P
14x = 630
x = 630/14
x = 45
The width is 45 feet.
The length must be 6x = 6*45 = 270 feet.
The required length and width of the lawn is given as Length = 270 feet and Width = 45 feet.
Given that,
A landscaper buried a water line around a rectangular lawn to serve as a supply line for a sprinkler system. The length of the lawn is 6 times its width. If 630 feet of pipe was used to do the job, what is the length and the width of the lawn is to be determined.
Perimeter is the measure of the figure on its circumference.
Here,
let the length be l and the width be w,
According to the question,
l = 6w
and
Perimeter of the lawn = 630
2 [l + w] = 630
2 [6w + w] = 630
14w = 630
w = 45
Now,
l = 45[6] = 270
Thus, the required length and width of the lawn is given as Length = 270 feet and Width = 45 feet.
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It is estimated that the world's population is growing at a rate of 1.14% per year. On January 1st 2014 the population was 7.23 billion. (a) Find the expected population on January 1st 2020. (b) Find the year when the population is expected to reach 10 billion.
Answer:
\(f(t) = 7.23( {1.0114}^{t} )\)
t = 0 represents January 1, 2014
(a)
\(f(6) = 7.23( {1.0114}^{6} ) = 7.739\)
The population of the world is expected to be about 7.739 billion people on January 1, 2020.
(b)
\(7.23( {1.0114}^{t} ) = 10\)
\(t = about \: 28.61 \: years\)
The population of the world is expected to be 10 billion people in about 28.61 years after January 1, 2014 (sometime in August 2042).
Solve the following inequality:
- 4x + 14 = 54
the answer to this question is -10.
For this pair of functions, explain how you can tell if the two functions are inverses?
The inputs and outputs match up with each other implying that they are inverses of each other.
How to determine if the functions are inverse?To determine if the functions are inverses of each other, you need to check two conditions:
Composition of Functions: If two functions, let's call them f(x) and g(x), are inverses, then when you compose them in either order, you should get the identity function. Domain and Range: The domain of one function should match the range of the other function, and vice versa.According to the previous information we can conclude that the inputs and outputs match up with each other implying that they are inverses of each other.
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only one of the following graphs could be the graph of a polynomial function. which one? why are the others not graphs of polynomials? (select all that apply.) the graph could be that of a polynomial function. the graph could not be that of a polynomial function because it has a cusp. the graph could not be that of a polynomial function because it has a break. the graph could not be that of a polynomial function because it does not pass the horizontal line test. the graph could not be that of a polynomial function because it is not smooth. the graph could be that of a polynomial function. the graph could not be that of a polynomial function because it has a cusp. the graph could not be that of a polynomial function because it has a break. the graph could not be that of a polynomial function because it does not pass the horizontal line test. the graph could not be that of a polynomial function because it is not smooth. the graph could be that of a polynomial function. the graph could not be that of a polynomial function because it has a cusp. the graph could not be that of a polynomial function because it has a break. the graph could not be that of a polynomial function because it does not pass the horizontal line test. the graph could not be that of a polynomial function because it is not smooth. the graph could be that of a polynomial function. the graph could not be that of a polynomial function because it has a cusp. the graph could not be that of a polynomial function because it has a break. the graph could not be that of a polynomial function because it does not pass the horizontal line test. the graph could not be that of a polynomial function because it is not smooth.
The graphs that are not graphs of polynomials are the ones that have a cusp, a break, do not pass the horizontal line test, or are not smooth.
The graph could be that of a polynomial function if it meets the following criteria: it is smooth, continuous, and does not have any cusps or breaks.
Reasons why the other graphs are not polynomial functions:
1. The graph has a cusp: Polynomial functions have smooth curves without any sharp points (cusps).
2. The graph has a break: Polynomial functions are continuous, meaning there should not be any breaks or gaps.
3. The graph does not pass the horizontal line test: This is not a criterion for polynomial functions. The horizontal line test checks if a function is one-to-one, which is unrelated to polynomial functions.
4. The graph is not smooth: Polynomial functions have smooth, continuous curves.
Based on these criteria, only the graph that is smooth and continuous without any cusps or breaks could be the graph of a polynomial function.
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A factory makes 160 vans and cars.
the ratio of cars to the ratio of vans is 3:7
1/8 of the cars are electric cars
25% of the cars are diesel cars
the rest are petrol cars.
work out how many petrol cars there are.
The number of petrol cars, given the ratio of cars to vans and the proportion of types of cars, is 30 cars
How to find the number of cars ?First, find the number of cars made :
= Number of cars and vans made x Ratio of cars / ( Sum of ratio of cars and vans )
= 160 x 3 / ( 3 + 7 )
= 160 x 3 / 10
= 48 cars
The number of petrol cars would be:
= Number of cars made - Number of electric cars - Diesel cars
= 48 - ( 1 / 8 x 48 ) - ( 25 % x 48 )
= 48 - 6 - 12
= 30 cars
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Find the x-coordinate of the vertex of a parabola if the x-intercepts are (3,0) and
(-9,0)
Answer:
x = -3
Step-by-step explanation:
The vertex lies on the axis of symmetry, whose x-coordinate is halfway between -9 and 3: x = -3
Decide which shipping box (or combination of boxes) she should use to ship exactly 270 necklaces.
28. Given M₁ = 35, M₂ = 45, and SM1-M2= 6.00, what is the value of t? -2.92 -1.67 O-3.81 2.75
The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
Given, M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.
To calculate the t-value,
the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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consider an experiment in which a fair coin is flipped 4 times. define the random variable d to be the number of flips that come up heads minus the number of flips that come up tails. what is the range of d? a. {0, 1, 2, 3, 4} b. {-4, -2, 0, 2 ,4} c. {-4, -3, -2, -1, 0, 1, 2, 3, 4} d. {-4, -3, -2, -1, 0}
The range of the random variable d is {-4, -2, 0, 2, 4}, so the correct answer is option b.
To find the range of the random variable d, we need to consider all possible outcomes of the experiment and calculate the value of d for each outcome.
In this experiment, a fair coin is flipped 4 times. Each flip can result in either a "heads" or "tails" outcome.
Let's consider the possible outcomes and calculate the corresponding values of d:
1. Four heads (HHHH): d = 4 - 0 = 4
2. Three heads and one tail (HHHT, HHTH, HTHH, THHH): d = 3 - 1 = 2
3. Two heads and two tails (HHTT, HTHH, THHH, TTHH, HTTH, HHTH): d = 2 - 2 = 0
4. Three tails and one head (TTTH, TTHT, THTT, HTTT): d = 1 - 3 = -2
5. Four tails (TTTT): d = 0 - 4 = -4
The range of d is the set of all possible values that d can take on, which is {-4, -2, 0, 2, 4}.
Therefore, the correct answer is option b. {-4, -2, 0, 2, 4}.
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The __________forecasting model uses nonlinear optimization to forecast the adoption of innovative and new technologies in the marketplace.
The Bass diffusion model is a forecasting model that uses nonlinear optimization to predict the adoption of innovative and new technologies in the marketplace.
It was developed by Frank Bass in 1969 and has since become a widely used method for predicting the spread of new products in the market.
The Bass model assumes that the adoption of a new technology is driven by two factors: the innovative individuals who are the first to adopt, and the imitative individuals who adopt based on the influence of others. The model uses a combination of these two factors to predict the rate of adoption over time.
The Bass model takes into account the potential market size, the rate of innovation, and the rate of imitation. It is based on the assumption that the number of potential adopters is finite and that the rate of adoption will slow down as the market becomes saturated. The model also assumes that the rate of innovation will decrease over time as the technology becomes more established in the market.
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What is the perimeter of 6(1/2x + 5)
Answer: The perimeter of a rectangle is the sum of the lengths of all four sides. If one of the sides is 6(1/2x + 5), then we can find the perimeter by multiplying that by 2.
Perimeter = 2*6(1/2x + 5)
Perimeter = 12(1/2x + 5)
To simplify the expression, we can distribute the 12:
Perimeter = 121/2x + 125
Perimeter = 6x + 60
So the perimeter of 6(1/2x + 5) is 6x + 60.
Step-by-step explanation:
The table shows the linear relationship between the total cost of orders of t-shirts and the number of t-shirts ordered.
Based on the table, what is the rate of change of the total cost in dollars with respect to the number of t-shirts ordered
Answer:
$9.95 per shirt.
Step-by-step explanation:
Rate of change = \( \frac{y_2 - y_1}{x_2 - x_1} \)
Using the values of two pairs, (13, 154.50) and (24, 263.95),
rate of change = \( \frac{109.45}{11} \)
rate of change = 9.95 \)
(Note: you'd get the same rate of change if you use the values of any two pairs on the table.)
The rate of change of the total cost of t-shirt with respect to the number of ordered t-shirt is $9.95 per shirt.
A fish swims at a speed of 12 miles per hour a boy swims at a speed of 4.44 feet per second. How much faster does the fish swim than the boy in yards per minute?
3ft = 1yd
5280= 1 mile
Answer:
I don't know it
Step-by-step explanation:
try with an textbook you have
Julio says, "If you subtract 12 from my number and multiply the difference by -5, the result is -40." What is Julio's number?
Answer:
Julio's number is 212
Step-by-step explanation:
(x - 12) ÷ -5 = -40
x - 12 = -40 times -5
x - 12 = 200
x = 200 + 12
x = 212
Check:
(x - 12) ÷ -5 = -40
((212 - 12)) ÷ -5 = -40
200 ÷ -5 = -40
-40 = -40
ASAP NEED HELP!!!!!!!!!
B=R/H Solve for H
Answer:
h = r/b
Step-by-step explanation:
Answer:
H = R BStep-by-step explanation:
H = R
B
Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.
Step-by-step explanation:
v = u + at
v-u = at
a = (v -u)/t
When t = 4, u=10, v=50
a = (50-10)/4
a= 40/4
a = 10
(a) why does the mean accurately summarize a normal distribution? (b) why does the mean inaccurately summarize a skewed distribution?
The mean accurately summarize a normal distribution because it is the center point. While the mean inaccurately summarize a skewed distribution because the mean is meant to balance the distribution with a tail, it is pulled to a tail and therefore the mean would not be in the center.
The mean is the mathematical average and it is probably the measure of central tendency that is most familiar. One can calculate the mean by adding all the values and dividing it with the total number of observations in a set of data. The normal distribution of mean is observed when the distribution of data near the mean are more frequent in occurrence than data far from the mean, it is also referred as Gaussian distribution. Skewed distribution is not symmetrical nor equal, it is deviated in one or the other side of the graph.
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Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
The baseball team can bring 11 players to the tournament based on their budget.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An equation is a mathematical statement that represents the equality of two things.
It is made up of two expressions, one on each side of the equal to symbol. An equation, in other words, is a statement that the values of two mathematical expressions are equal.
Let x represent the number of players the team can bring to the tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals, hence:
24.75x + 856.5 = 1128.75
x = 11
The baseball team can bring 11 players to the tournament based on their budget.
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If two sides of the triangle are congruent then the triangle is called as _____ triangle
Answer:
isosceles triangleStep-by-step explanation:
If two sides of the triangle are congruent then the triangle is called as isosceles triangle.
If no sides of the triangle are congruent then the triangle is called as scalene triangle.
A triangle in which one of the interior angles is 90° is called a right triangle.
Answer:
\(\huge\boxed{\sf Isosceles\ triangle}\)
Step-by-step explanation:
Isosceles triangle:A triangle having two equal sides and angles is called an isosceles triangle.Characteristics:Two equal sidesTwo equal angles\(\rule[225]{225}{2}\)