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How can you make 50 cents using exactly 22 coins
The combination of coins adds up to 10 + 30 + 40 + 50 = 130 cents, or $1.30, but it uses exactly 22 coins and makes 50 cent
One possible solution to make 50 cents using exactly 22 coins is:
10 pennies (10 x 1 cent = 10 cents)
6 nickels (6 x 5 cents = 30 cents)
6 dimes (6 x 10 cents = 60 cents)
No quarters (0 x 25 cents = 0 cents)
This combination of coins adds up to 10 + 30 + 60 + 0 = 100 cents, or $1.00. However, we only want to use 22 coins to make 50 cents, so we can remove 10 of the dimes, leaving us with:
10 pennies (10 x 1 cent = 10 cents)
6 nickels (6 x 5 cents = 30 cents)
4 dimes (4 x 10 cents = 40 cents)
2 quarters (2 x 25 cents = 50 cents)
This combination of coins adds up to 10 + 30 + 40 + 50 = 130 cents, or $1.30, but it uses exactly 22 coins and makes 50 cents.
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Given that 3 feet equal 1 yard, how many yards
equal 7 feet?
Answer:
7/3
Step-by-step explanation:
because 3/7 is less then two
The correct option is B. 7/3
Given that 3 feet equal 1 yard, to find out how many yards equal 7 feet,
To convert a length in feet into yards, we need to use the conversion factor that states 1 yard is equal to 3 feet. If a length of "a" feet, you can convert it into yards by dividing "a" by 3.
For example, convert 12 feet it into yards.
Using the conversion factor, set up the proportion:
3 feet / 1 yard = 12 feet / s yards
To find the value of "s," by cross-multiplication
3 feet x s yards = 12 feet x 1 yard
3s = 12
Dividing both sides of the equation by 3:
s = 12/3
s = 4
Thus, 12 feet is equal to 4 yards.
Set up a proportion using the ratio of feet to yards.
Let "x" represent the unknown number of yards that is equivalent to 7 feet. The proportion can be written as:
3 feet / 1 yard = 7 feet / x yards
To solve for "x," by cross-multiplication,
3 feet x x yards = 7 feet x 1 yard
3x = 7
Dividing both sides of the equation by 3:
x = 7/3
So, 7 feet is equal to 7/3 yards, which can also be expressed as 2 and 1/3 yards or approximately 2.33 yards.
Therefore, 7 feet is equivalent to 7/3 yards.
Hence, the correct option is B. 7/3
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5, -15, 45, -135 identify the common ratio , then write the sequence as a geometric series
Answer:
Common ratio: -3
Geometric sequence: an=5(-3)^n-1
Step-by-step explanation:
Each number multiplied by -3 gets the product of the next number. (5*-3= -15)
5. Write an equation of a line in standard form for the given conditions. passes through (0,0) and is perpendicular to the line 2- y=6
Answer:
69
Step-by-step explanation:
Find the equation of the line that passes through the points (-2,0) and (1,-6)
Answer:
y=−32x+4
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When using BINOM.DIST to calculate a probability mass function, which argument should be set to FALSE?
The question is incomplete. Please read below to find the missing content.
D) cumulative is an argument that should be set to FALSE.
If we use cumulative =fake then we are able to get a precise probability
If we use cumulative= genuine, we will get less than or equal to possibility.
A sequence of actions wherein the effects are always unsure. I was tossing a coin, deciding on a card from a deck of playing cards, and throwing a cube. occasion. It is a single final result of a test. Getting a Head at the same time as tossing a coin is an occasion.
When using BINOM.DIST to calculate a probability mass function, which argument should be set to FALSE? Select an answer
A) number_s
B) probability_s
C) trials
D) cumulative
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solve for x
pls show work
1/4 + x = -7/12
can u please do step by step with this problem`-5(x-4)
Answer:
-5x+20
Step-by-step explanation:
Distribute the -5: -5(x) and -5(-4)
-5x+20
Since you cannot combine like terms, this is your final answer
Answer:
-5 × 4x = -20x
Step by Step Explanation:
Start with parenthesis
x - 4 = 4x
Multiply
-5 × 4x = -20x
A PVC Pipe open at the ends has an internal diameter of 13 inches and a thickness of 0.25 in. A) If it carries water flowing at 21 psi pressure, determine the stresses in the pipe walls. B) If the water flow within the pipe is stopped due to closing the valve and the water pressure is 21psi, determine the stresses in the pipe walls. In both cases, neglect the weight of the water.
For a PVC pipe open at the ends with an internal diameter of 13 inches and a thickness of 0.25 inches, we need to determine the stresses in the pipe walls under two scenarios: A) when water is flowing at 21 psi pressure, and B) when the water flow is stopped due to valve closure but the pressure remains at 21 psi. In both cases, the weight of the water is neglected.
To calculate the stresses in the pipe walls, we can use the formula for hoop stress, which is given by the equation stress = (pressure * radius) / thickness. In case A, when water is flowing at 21 psi pressure, the stress in the pipe walls can be determined using the internal radius of the pipe. In case B, when the water flow is stopped but the pressure remains at 21 psi, the stress in the pipe walls can be calculated using the external radius of the pipe (internal radius + thickness).
By substituting the given values into the formula, we can calculate the stresses in the pipe walls for both scenarios.
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Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
Blue and yellow dye are mixed in an 8:4 ratio to make 44 litres of a green-coloured dye. A further 8 litres of yelling dye are added to the mixture . What is the next ratio of blue to yellow dye in its simplest form ?
In its most basic form, the new blue-to-yellow color ratio is 19/12
44 litres of a teal-colored dye are created by combining blue and green dye in a 7:4 ratio. The liquid is then dyed with green for an additional 8 liters. What has to be determined is the new blue-to-green dye ratio in its most basic form.
The percentage of blue and green in the teal dye may be calculated.
Dye for blue = 8/(4+8) * 44
Dye for blue = 8/11 * 44
32 liters = blue dye
The formula for yellow dye is 4/11*44.
yellow color = 16
Blue dye now equals yellow dye, which makes 32 plus 16 equal 48.
yellow dye has now been increased by 8 liters.
green dye's new volume fraction is 16 + 32 = 24.
A portion of the blue dye is constant, and the ratio of
the blue to fresh yellow dye ratio.
= 48/24
=19/12
The new blue to yellow dye ratio is now 7/6 in its most basic form.
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what is the sum of the values of x that are solutions to the equation x^2 - 10x - 22 = 2 ? a. -12 b. -10 c. -2 d. 2 e. 10
Answer:
\(x = 2, 12\)
Your correct answer is D, since I don't see a -12.
Step 1: Subtracting 2 from both sides
Since we have to find the value of x, we have to factor the equation. To do so, we first have to subtract the two from both sides of the equation so all the values are on one side of the equation.
\(x^2-10x-22(-2)=2(-2)\\x^2-10x-24=0\)
Step 2: Factoring the equation
Part 1
After subtracting 2 from both sides of the equation, we have to factor the polynomial to be able to get it into two sets of parentheses, so in order to do that, we will ignore the equal sign and the 0 for now. We are now left with:
\(x^2-10x-24\\\)
First, we find the multiples of the first term, \(x^2\\\), and the last term, -24. Since there is an invisible 1 before the first term, we are basically finding the multiples of \(1x^2\), which is \(1x\) and \(1x\), or x and x. Now we have to find the correct set of numbers for -24. Do do that, we have to make sure that when we multiply the first set of numbers (x, x) with the second set (?, ?) and add them together, then we would get the number in the middle (-10x). So: Two of the most obvious multiples for 24 are 6 and 4, 12 and 2, and 3 and 8. But, this is a negative 24, so we have to work ahead to find out which pair we use first. If we multiply 8 and 3 with x and x, we get 8x and 3x. When we add them together, we do not get 10x, but instead, we get 11x, so it is the wrong pair. If we do the same thing to 6 and 4, we would get 10x, but since 24 is negative, it is not correct because we would need one of the numbers to be negative. In this case, they equal to 10x, but one of the numbers would have to be negative because (if 6 was the negative):
\(-6 * 4=-24\\\)
But:
\(4-6\neq 10\\\)
So this is not the correct set either. Our last set is 12 and 2, and when we multiply by x (12x and 2x) and we set one of the numbers to be a negative (-12) and subtract them, we get -10x, so, therefore, this is the correct number pair.
\(-12*2=-24\\2-12=-10\)
Part 2
With all that done, we now have to factor the numbers. We take the first numbers (x and x), and we place them in front of each of the two parentheses.
\((x,?)(x,?)\)
Now, we place -12 and 2 in those places.
\((x,-12)(x,2)\)
To find x, we have to plug in the equal sign and 0 from the beginning.
\((x,-12)(x,2)=0\)
Since they both have to equal to 0, then that means there would be two different answers because, for example: 12 - 12 = 0, but 12 - 2 ≠ 0.
To find both solutions, we treat the numbers in each of the parentheses as its own equation, and we solve it from there.
x - 12 = 0
12 - 12 = 0
x - 2 = 0
2 - 2 = 0
12 and 2 are our solutions! Hope this helps :)
Answer:
12 and 2
Step-by-step explanation:
factor the euqation x^2-10x-22=2 and you get (x,-12)(x,2)=0 and when you solve that you get 12 and 2
solve the following equation showing all of your steps: 3x-3=4x+2
Step 1 : We have the following equation: 3x - 3 = 4x + 2
Step 2: Let's solve it, this way:
A. Like terms (Variable x and coefficients on the left and integers on the right)
3x - 4x = 2 + 3
-x = 5
Multiplying by - 1 at both sides, we have:
-x (-1) = 5 (-1)
x = -5
Step 3: Let's prove that x = -5 is correct, this way:
3x - 3 = 4x + 2
3 (-5) - 3 = 4 (-5) + 2
-15 - 3 = -20 + 2
- 18 = - 18
We just proved that x = -5 is correct for the equation given!
My pleasure to help you out today, Devin!
Answer:
See below
Step-by-step explanation:
3x -3 = 4x + 2 subtract 3x from both sides of the equation to get
-3 = x + 2 subtract 2 from both sides
-5 = x Done !
can someone help me
Answer:
Pretty sure that you have it right, B
Step-by-step explanation:
HI AGAIN BLUE DINO PERSON
Please help
2x−9≥17
Ancwers:
x≤3
x≤13
x≥3
x≥13
Venus and her cousin Ursula recently celebrated their birthdays on the same Sunday in December 2021. Ursula is now four times as old as Venus was when Ursula was the same age as Venus is now. Venus is a teenager. How old are Venus and Ursula? On which day of the week was Venus born?
The date are given by the expressing the given information as functions,
and evaluating based on the constraints.
Response:
Venus is 15 years, and Ursula is likely 24 years oldVenus is likely born on a ThursdayHow can the ages and date of birth be calculated?Let x represent the number of years age when Ursula's age was the
same as Venus's age now and let y represent the age of Venus, we
have;
Ursula's age = y + x = 4 × (y - x)
y > 12
Which gives;
y + x = 4 × (y - x) = 4·y - 4·x
y + x = 4·y - 4·x
5·x = 3·y
\(y = \dfrac{5}{3} \cdot x\)
y, and x are whole numbers, which gives;
When x = 9
\(Venus's \ age \ y = \dfrac{5}{3} \times 9 \, years =\underline{ 15 \, years}\)Ursula's age = 15 years + 9 years = 24 yearsFrom the calendar, we have;
Sundays in December 2021 includes the 7th, 14th, 11st and 28th of
December
The year Venus is born = 2021 - 15 = 2006 Calendar
7th, 14th, 11st and 28th of December 2006 are on Thursdays
Therefore;
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help please I'm failing
Answer:
Step-by-step explanation:
show picture
If the perimeter of the square is 36 cm. What is the area of the non-shaded region?
Answer:
either 20.25π or around 63.6173
Step-by-step explanation:
So first you find the side length of the square which is the perimeter/4 so in this case, 9. 9/2 will give you the radius of the circle and just solve for the area using the formula a=πr^2
find the area of this circle
Radius: 7ft
Area of circle =153.86ft²
Answer:
Solution given;
Radius[r]: 7ft
To find;
Area of circle;
Step-by-step explanation:
use formula:
Area of circle =πr²
Calculation:
Area of circle =πr²
substitute value
.Area of circle =3.14*7²=153.86ft²
Jay interpreted the meaning of the given data set, 7.76, as meaning half the couch weigh less than 7.76 pounds in weighed half more. What was his error? Explain.
Jay's error is that he misinterpreted the concept of the mean of the data set. The mean, also known as the average, is the sum of all numbers in a data set divided by the total number of data points. In this case, we do not know the context of the data set, so we cannot assume it refers to weight or the weight of a couch.
Jay's interpretation of the mean as "half the couch weight less than 7.76 pounds and half weighed more" is incorrect because it assumes that the data follows a symmetrical distribution, which may not be the case. The mean can be influenced by the values on either side of it, and it does not necessarily divide the data set in half.
If we assume that the data set refers to the weight of couches, then Jay's interpretation is incorrect because it is impossible for half the weight of a couch to be less than its weight. Rather, weight is always a positive value, so it would be more appropriate to describe the data in terms of a range or distribution rather than in terms of half and half.
In conclusion, Jay's error was in misinterpreting the meaning of the mean, assuming a symmetrical distribution, and making assumptions about the data set without the necessary context. It is important to understand the context and statistical properties of data before making any conclusions or interpretations.
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Solve for x. -x + 4 = 32 x = -28 x = 36 x = 28 x = -36
Answer:x=-28
Step-by-step explanation:
-x+4=32
Subtract 4 from each side
-x=28
Multiply each side by (-1)
x=-28
Answer: -28
Step-by-step explanation:
write a function that represents the number of emergency responses professionals in the town in terms of the towns total population
The exponential growth function will be: y = 4000(1 + 0.04)⁴
How to solve Exponential growth unctions?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
We are given;,
Initial population = 4000
Rate of increase = 4%
Let current population be p.
Let number of years passed be t.
Thus, the exponential growth function will be:
y = 4000(1 + 0.04)⁴
Complete question is;
A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.
Part A
Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.
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Answer:
number of emergency response professionals = 3% of population
e = 0.03p
e is a function of p
e(p) = 0.03p
Step-by-step explanation:
edumentum
how many ways can 4 baseball players and 4 basketball players be selected from 8 baseball players and 13 basketball players?
The total number of ways to select 4 baseball players and 4 basketball players from 8 baseball players and 13 basketball players is 70 × 715 = 50,050.
The number of ways to select 4 baseball players and 4 basketball players from 8 baseball players and 13 basketball players is equal to the number of combinations without repetition (denoted as C(n,r) n≥r) of 8 baseball players taken 4 at a time multiplied by the number of combinations without repetition of 13 basketball players taken 4 at a time.
The number of ways to select 4 baseball players from 8 baseball players = C(8,4)
= 8!/4!(8-4)!
= (8×7×6×5×4!)/(4!×4!)
= 8×7×6×5/(4×3×2×1)
= 2×7×5
= 70
The number of ways to select 4 basketball players from 13 basketball players = C(13,4)
= 13!/(13-4)!4!
= (13×12×11×10×9!)/(9!×4!)
= (13×12×11×10)/(4×3×2×1)
= 13×11×5
= 715
Therefore, the total number of ways to select 4 baseball players and 4 basketball players from 8 baseball players and 13 basketball players is 70 × 715 = 50,050.
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-7s+3s-6=14 what is the s
Answer:
s= -5
Step-by-step explanation:
-7s + 3s - 6 = 14
-4s = 20
s = -5
Answer:
-5
Step-by-step explanation:
-7s+3s-6=14
combine like terms
-4s-6=14
add 6 to both side
-4s=20
divide by 4
-1=5
x-1
1=-5
(-7x-5)+(3x-5)-6
(-4x-5)-6=14
20-6=14
What is the equation of a line with a slope of zero and goes through the point (6, -7) ?
pleade hurry!! A function, f(x), is shown below. It is a shifted graph of y = x². Choose the equation for f(x) that matches the graph shown.
Answer: B. f(x) = (x - 2)^2 - 3
Step-by-step explanation:
What is the base if the portion is $4,560 and the rate is 65%? Solve for the base (in $). Round to hundredths when necessary.
The base of the $4,560 which is 65% of the base is $7,015.38.
What is percentage?This represented by the symbol %, is the division of any number by 100. The expression 25%, for example, means that 25 parts of a whole were divided into 100 parts.
The portion of 65% means that the amount given as $4,560 is only a part of the whole amount known as base, which is unknown as the base, in other words, the base amount can be determined the portion divided by the percentage of the portion:
65%=$4560
1%=$4560/65
1%=$70.1538461538462
100%=$70.1538461538462*100
100%=$ 7,015.38
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Jacobi wants to install an underground sprinkler system in her backyard the backyard is rectangular with side length 17 m and 26 m .the water pipe will run diagonally across the yard about how many metres of water pipe does Jacobi need .
The length of the pipe required would be 31.06 meters
The length of the pipe is the hypotenus of the triangle formed :
hypotenus = √opposite² + adjacent²substituting the values into our equation:
length of pipe = √17² + 26²
length of pipe = √965 = 31.06
Therefore, the length of the pipe needed is 31.06 meters
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Which choice shows y=2x+2 and y=2^x correctly paired with their graphs
The Second graph represent the equations with perfectly paired form.
According to the statement
we have to find that the which graph is a correctly paired or not.
So, For this purpose, we know that the
A Graph is a diagram that represents the variation of a variable in comparison with that of one or more other variables.
And from the given information:
The equations are:
y=2x+2 and y=2^x
And from the image it is clear that the second graph is a correctly paired rather than other graphs.
because it shows a perfect arrangement on the graph with respect to the points.
for more understanding please see the image below.
So, The Second graph represent the equations with perfectly paired form.
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find the equation of the line parallel to y=5x+7 and passing through (3,-8)
Answer:
hope it helps you thank you
Step-by-step explanation:
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