Hence, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.
What is the cost?
The concept of cost is a key concept in Economics. It refers to the amount of payment made to acquire any goods and services.
Here given that,
Aarav has budgeted $ [tex]300[/tex] to spend on hanging planters and raised garden beds. Each hanging planter costs $ [tex]16[/tex], and a raised bed costs [tex]1. 5[/tex] times as much as a hanging planter.
So,
The total cash he used to buy the hanging planter is [tex]16(1.5)=24[/tex]$.
So, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.
Hence, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.
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what are numbers with exactly three prime factors?
Answer:30
Step-by-step explanation:
30 is the smallest number that has three different prime factors.
11 k x + 12kx= 6 for x
Answer:
x=1/4k
Step-by-step explanation:
Hope this helps please give me Brainliest!
help pls asap The polygon circumscribes a circle. What is the perimeter of the polygon?
Applying the two-tangent theorem, the perimeter of the polygon = 70 cm.
What is the Perimeter of a Polygon?To find the perimeter of a polygon, sum all the side lengths of the polygon all together.
What is the Two-tangent Theorem?If two tangent segment of a circle are drawn to meet at a point outside the circle, the two-tangent theorem says they are congruent together, that is, they have equal length.
Applying the two-tangent theorem, the following side lengths that are missing as labelled in the diagram attached below are:
a = 13 cm
b = 9 cm
c = 5 cm
d = 8 cm
Therefore:
Perimeter of the polygon = 13 + a + b + 9 + 5 + c + d + 8
Plug in the values
Perimeter of the polygon = 13 + 13 + 9 + 9 + 5 + 5 + 8 + 8 = 70 cm.
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If h(x)=5x-6 which expression is equivalent to (h+h)(2)?
A 5(2+2)-6
B 5[5(2)-6]-6
C 52-6+52-6
D 5(2)-6+5(2)-6
The equivalent of (h+h)(2) of the function h(x) = 5x - 6 is 5[5(2) - 6] -6 which is option B
What is a function?
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).
h(x) = 5x - 6
(h + h)(x) = h(x) in x. This means put the function in h(x)
so x = 5x - 6
so (h + h)(x) = 5(5x-6) -6
if x = 2,
we have (h + h)(2) = 5[5(2) -6] -6
In conclusion the expression 5[5(2) -6] -6 is equivalent to (h+h)(2)
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An urn contains 100 marbles. Fifty are purple, ten are green,
fifteen are red, and twenty-five are orange. Two marbles are drawn
at random one after another without replacement. Calculate each probability.
The probability of picking a purple and green marbles is 0.05.
What is a probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
Number of purple marble = 50
Number of green marbles = 10
Total number of marbles = 100
The probability of picking a purple and green marbles will be:
= 50/100 × 10/99
= 0.05
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Complete question
A urn contains 100 marbles. Fifty are purple, ten are green, fifteen are red, and twenty-five are orange. Two marbles are drawn at random one after another without replacement. Calculate the probability of picking a purple and green marbles
I can't figure out this graphing problem, please help!!!
The equation that represents the graph will be y = - (2)ˣ + 3.
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 equation is given below.
y = A · (2)ˣ + k
At x = 0, the value of y is 2.
2 = A + k ...1
At x = 1, the value of y is 1.
1 = 2A + k ...2
Subtract equation 1 from equation 2, then we have
A = -1
Then the value of k is given as,
2 = -1 + k
k = 2 + 1
k = 3
The equation that represents the graph will be y = - (2)ˣ + 3.
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As a construction worker, you are building a cylindrical grain silo with a radius of 10 meters and a volume of 6,280 cubic meters.
Which formula will determine the height of the silo? Rounded to the nearest whole number of meters, what is the height of the silo?
, 6 meters
, 14 meters
, 20 meters
, 25 meters
, 80 meters
Answer:
[tex]h=\frac{V}{\pi r^{2} }[/tex], 20 meters
Step-by-step explanation:
The formula for the volume of the silo is: [tex]V=\pi r^{2} h[/tex]
You are given:
Volume= 6,280 cubic meters
Radius= 10 meters
Therefore, you can solve for the height by getting h on it's own side.
The formula for the height of the silo is given by: [tex]h=\frac{V}{\pi r^{2} }[/tex]
Now solve using the given values: [tex]h=\frac{6,280}{\pi (10)^{2} }[/tex]
The height of the silo = 20 meters
PLEASE ANSWER ASAP
Beverly is trying to prove that △PQR is a right triangle.
The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3). Which TWO slope calculations
can she use to correctly show that △PQR is a right triangle?
Select TWO of the answers below.
Answer:
Triangle PQR is a right triangle. First we have to find the length of each side of the triangle. This can be done using the points provided, along with the Pythagorean theorem, which is a^2+b^2=c^2. PR^2 = (7- -2)^2+(3-5)^2 = 85 => PR = sqrt(85) QR^2 = (7- -1)^2+(3-1)^2 = 68 => QR = sqrt(68) QP^2 = (1-5)^2+(-1 - -2)^2 =17 => QP = sqrt(17) Now that we have the sides of the triangle, we can put them into the Pythagorean theorem again to see that it works out: (Sqrt(17))^2 + (sqrt(68))^2 = (sqrt(85))^2 17 + 68 = 85 85 = 85 Since the Pythagorean theorem works for right triangles, the triangle is indeed a right triangle.
Step-by-step explanation:
A medical researcher collects health data on many women in each of several small countries. One of the variables
measured for each woman in the study is her weight in pounds. The following list gives the five-number:
summary for the weights of adult women in one of the countries.
Country A:
92, 110, 120, 160, 240
About what percent of Country A women weigh between 110 and 240 pounds? Show your work.
(a) 50%
(b) 65%
(c) 75%
(d) 85%
(e) 95%
Option (c) 75% of Country A women weigh between 110 and 240 pounds.
What is the five-number summary?
When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.
Given, the five-number summary of Country A:
92, 110, 120, 160, 240
Then, we get
Minimum value = 92, First quartile = 110, Median = 120, Third quartile=160,
Maximum value = 240
Between 110 and 240 pounds, data lies from the First quartile to Maximum value which represents 75% of the data.
Hence, Option (c) 75% of Country A women weigh between 110 and 240 pounds.
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. Graph the function f(x) = x
^2 + 7x + 10 on the coordinate plane.
The graph of the function f(x) = x² + 7x + 10 is attached.
What is the general equation of a parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -
y = a(x - h)² + k
We have the following equation of a quadratic equation representing parabola as -
f(x) = x² + 7x + 10
Refer to the graph of the function f(x) attached. It can be seen that it is a parabola opening upwards.
Therefore, the graph of the function f(x) attached.
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Help please and asap thank you asap !!!!!!
Answer:
F(x) = m1/5
Step-by-step explanation:
For the functions f(x) = 2x-5 and g(x) = 3x²-x, find (fog)(x) and (gof)(x).
The fog(x) of the function will be 6x² -2x - 5 and gof(x) of the function will be 12x² + 62x - 80.
What is the domain of a function?
The collection of values that can be plugged into a function's domain is called its parameters. The x values for a function like f(x) are contained in this collection (x). The collection of numbers that the operator assumes is known as its range.
As per the given information in the question,
f(x) = 2x - 5 and,
g(x) = 3x² - x
fog(x) = 2x - 5 and,
gof(x) = 2x - 5
fog(x) = f(g(x))
= f (3x² - x) = 2(3x² - x) -5
= 6x² -2x - 5
gof(x) = g(f(x))
= g (2x - 5) = 3(2x - 5)² + 2x - 5
= 12x² - 75 + 60x + 2x -5
12x² + 62x - 80.
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Factor completely ^2-7r-18
Northside high school is having a spaghetti dinner funraiser. In order to adveritse, students place flyers on neighborhood doors. Margie hands out 100 flyers in 2 hours. Jaxon hands out 18 flyers in 15 minutes. Which equation can be used to determine f, the number of flyers Jaxon handed out in 2 hours.
A. 18/15 = f/2. B. 120/f = 2/15
C. 18/2 = f/120. D. 120/15 = f/18
120/15=f/18 is the equation can be used to determine f, the number of flyers Jaxon handed out in 2 hours
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
Margie hands out 100 flyers in 2 hours.
Jaxon hands out 18 flyers in 15 minutes.
We need to find the equation can be used to determine f, the number of flyers Jaxon handed out in 2 hours.
Let us convert hours to minutes
2 hours=120 minutes.
Let f be the number of flyers Jaxon handed out in 2 hour.
18/15=f/120
Apply cross multiplication
120/f=15/18
120/15=f/18
Hence, 120/15=f/18 is the equation can be used to determine f, the number of flyers Jaxon handed out in 2 hours
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If a six-sided number cube is rolled 5 times, what is the probability of getting at least one multiple of 3?
The probability of getting at least one multiple of 3 when a six-sided number cube is rolled 5 times is 1/7776 or 0.01%.
What is probability?Probability shows the likelihood of an event happening. it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1.
Probability of getting at least one multiple of 3 = 1/6.
Probability of getting at least one multiple of 3 five times = probability of getting at least one multiple of 3 first time×probability of getting at least one multiple of 3-second time×probability of getting at least one multiple of 3 third time ×probability of getting at least one multiple of 3 fourth time ×probability of getting at least one multiple of 3 fifths time.
Probability of getting at least one multiple of 3 five times
= (1/6) × (1/6) × (1/6) × (1/6) × (1/6)
= 1/7776.
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ASAP PLEASE FOR POINTS
A regular polygon is shown, with one of its angle measures labeled a
If m
z=15
z=20
Z=23
Z=41
Answer:
Step-by-step explanation:
Which ordered pair would make this set a function when it replaces (x, y)?
{(0, 1), (2, 6), (1, 7), (5, 7), (x, y)}
ANSWER CHOICES
(2, 4)
(5, 9)
(1, 6)
(4, 8)
Answer:
Step-by-step explanation:
(4,8)..Its the only one in which x doesnt repeat
Will this summer be especially hot? The Farmer's Almanac is calling for a particularly hot summer this year. A student would like to estimate the average temperature using a thermometer that she places outside. Prior to the start of summer, the student randomly selects 10 days that she will use as her sample. On each of those 10 days, she records the outside temperature at 3 p.m. Assume that all conditions for inference have been met. (a) After collecting her data, the student calculates a 95% confidence interval to estimate the population mean. In this case, what is the population? the temperature all days for that summer the time of the day the 10 days (b) Suppose the calculated confidence interval is (72, 88) degrees Fahrenheit. What is the value of the point estimate (in degees Fahrenheit)? °F (c) Based upon your calculated point estimate and the confidence interval given in Part (b), what is the estimated margin of error (in degees Fahrenheit)? °F
a) The population of the confidence interval is given as follows: The temperature all days for that summer.
b) The point estimate of the interval is of: 80 degrees Fahrenheit.
c) The margin of error of the interval is of: 8 degrees Fahrenheit.
What are the features of the confidence interval?A confidence interval for a population parameter is built taking a sample of this population.
Then, the interval for the population mean is given as the sample mean plus/minus the margin of error.
The sample in this problem is given as follows:
The temperature for 10 days of summer.
Hence the population is of:
The temperature all days for that summer.
The interval in this problem is given as follows:
(72, 88).
The point estimate is the mean of the bounds, hence:
Point estimate = (72 + 88)/2 = 80.
The margin of error is half the difference of the two bounds, hence:
Margin of error = (88 - 72)/2 = 8.
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Find the diameter of the circle.
9 cm
The diameter of the circle is
The solution is I
centimeters.
geomerty help please
Answer:
y = 10, x = 18
Step-by-step explanation:
Hope it helps!
Which rectangle has side lengths of 5 units and 6 units?
The rectangle that has side lengths of 5 units and 6 units is (b) the rectangle that has a perimeter of 22 units
How to determine the rectangle?The complete question is added at the end of this solution
From the complete question, we have the following parameters that can be used in our computation:
Side lengths = 5 units and 6 units
These side lengths can be represented as
Length = 5 units
Width = 6 units
The area of a rectangle is calculated as
Area = Length * Width
Substitute the known values in the above equation, so, we have the following representation
Area = 5 units * 6 units
Area = 30 square units
The perimeter of a rectangle is calculated as
Perimeter = 2 * (Length + Width)
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 * (5 units + 6 units)
Perimeter = 22 units
Comparing the above to the options, we have
(b) The rectangle with a perimeter of 22 units
Hence, the true statement is (b)
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Possible question
Which rectangle has side lengths of 5 units and 6 units?
(a) The rectangle with an area of 22 square units
(b) The rectangle with a perimeter of 22 units
(c) The rectangle with a perimeter of 22 square units
(d) The rectangle with an area of 30 units
Could someone please help me with this?
Answer: yes, 1/3, 1/3x
Step-by-step explanation:
Does x vary directly with y?
This basically means is this a linear function and the answer is yes it is.
What is the constant of variation?
The constant of variation is 1/3 because you have to multiply each x value by 1/3 to get the y value
What is the function rule?
y = 1/3x
What is the Minimum value of k=
Answer:
k = -3
Step-by-step explanation:
Lines in the form y=k are horizontal. The lowest point on the parabola has a y-value of -3. That is the value where y=-3 will intersect the parabola at exactly one point. Every k value above this will have 2 points of intersection.
- Adult male Florida panthers have an
average weight of 52.6 kg. What is the
average weight of a male Florida panther
rounded to the nearest whole number?
The average weight of a male Florida panther rounded to the nearest whole number is 53 kg
What is average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
Average weight = 52.6 kg
52.6
The number after decimal point is 6 which is more than 5.
So add 1 to the 52, we get 53
Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg
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PLEASE HELP!
Which translation rule matches the transformation for congruent triangles?
The translation applied to the triangle is:
T(x, y) → (x +4, y - 5)
Sp the correct option is the first one.
Which is the rule of the translation from GHI to G''H''I''?To analyze the translation we only need to compare the coordinates of one of the vertices.
Let's see the vertex H.
The coordinates of H are (-4, 1)
The coordinates of H'' are (0, -4)
Then the translation is defined by the difference between these coordinates:
(0, -4) - (-4, -1) = (4, -5)
Then the translation here is:
T(x, y) → (x +4, y - 5)
So the correct option is the first one.
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The table shows the percent of each type of sandwich a cafe had available on Sunday. Sandwich Percent Ham 35 Roast Beef 25 Turkey 40 There are a total of 225 ham and turkey sandwiches. How many sandwiches did they have in all on Sunday? sandwiches Part B Fill in the blank question. If the cafe sells all the sandwiches at $4.50 each, how much money will the cafe earn?
The total number of sandwiches they have in all on Sunday is 375 sandwiches.
The amount earned by the cafe if each sandwich cost $4.50 is $1,687.5
What is the total number of sandwiches?Ham sandwich = 35%Roast beef sandwich = 25%Turkey sandwich = 40%Total ham and turkey sandwiches = 225Total number of sandwiches = xTotal percentage of ham and turkey sandwiches = 35% + 25%
= 60%
So,
225 = 60% of x
225 = 0.60 × x
225 = 0.60x
divide both sides by 0.60
x = 225/0.60
x = 375
Hence,
Total number of sandwiches = 375
If the cafe sells all the sandwiches at $4.50 each
The total money earned by the cafe = cost of each sandwich × total number of sandwiches
= $4.50 × 375
= $1,687.5
Therefore, the total sandwiches sold in the cafe on Sunday is 375 sandwiches.
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Given f(x) =(4-x)², what is the value of f(16)?
Answer:
144
Step-by-step explanation:
Answer:48
Step-by-step explanation:
Wherever you see an x on the right, you put a 16. That's what f(16) means.
f(16) = 1/3 (4 - 16)^2
f(16) = 1/3 (- 12)^2
f(16) = 1/3 (144)
f(16) = 48
What is the probability of drawing an odd number or a heart
out of a deck of cards?
Answer:100/10000000000
Step-by-step explanation:qazwsxeedcrfvtgbyhn
John's bank account was overdrawn. The status of his account was -107. He did not realize the problem and wrote another check for $43. The bank charged him a $22 fee for being overdrawn.
Answer: -$155
Step-by-step explanation:
Using this formula
New status=(-Account status-Cheque amount)-Bank charges
Let plug in the formula
New status= (-$112-$22)-$21-
New status=-$134-$21
New status=-$155
Inconclusion The new status of John's account at this point is -$155
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Write a situation that can be represented by 2.5x - 15
Answer:
Linda starts the month with $15 in debt. Each hour, she makes 2.5 dollars. How many hours will it take for Linda to get out of debt?
A situation that can be represented by the expression 2.5x - 15 is given below.
Let's consider a situation where you are tracking the amount of money you earn from selling handmade crafts. In this scenario, the expression 2.5x - 15 can represent your net earnings after deducting the initial investment and expenses.
Suppose you invest a certain amount of money in materials and supplies to create your crafts. The variable x represents the number of crafts you sell. Each craft generates a profit of $2.50. Therefore, the term 2.5x represents the total profit you earn from selling x crafts.
However, running a business incurs expenses. In this case, the expression -15 represents $15, which is the total expense or cost associated with producing and selling your crafts.
So, 2.5x - 15 calculates your net earnings after subtracting the expenses from the profit. It provides you with a measure of how much money you've made after covering the costs.
By plugging in different values for x, you can evaluate the expression to determine your earnings for various levels of craft sales, allowing you to analyze your profitability and make informed decisions regarding your business.
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