Thus, the number of coin for each are- number of dimes be 5 and number of quarters be 1.
Explain about the substitution method:A linear system can be algebraically solved using the substitution approach. One y-value is substituted for another in the substitution procedure. Getting the value of the x-variable in regards of the y-variable is the method's most straightforward step.
Let the number of dimes be 'x'.
Let the number of quarters be 'y'.
Then,
Total amount of parking meter is 6.25.
x + y = 6.25
x = 6.25 - y ....eq 1
Now,
number of dimes is 2 more than 3 times the number of quarters.
So,
x = 3y + 2 ...eq 2
Equating eq 1 and 2
6.25 - y = 3y + 2
4y = 4.25
y = 1.062
y = 1 (approx)
x = 3(1.065) + 2
x = 5.195
x = 5 (approx)
Thus, the number of coin for each are- number of dimes be 5 and number of quarters be 1.
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This circle is centered at the point (2, 6), and the length of its radius is 4. What is the equation of the circle?
Option D: [tex](x-2)^2+(y-6)^2=16[/tex] is the equation of the circle.
Explanation:
Given that the circle is centered at the point and the length of its radius is 4.
We need to determine the equation of the circle.
The equation of the circle with center and radius r is given by the equation,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Substituting the center and the radius in the above formula, we get,
[tex](x-2)^2+(y-6)^2=4^2[/tex]
Simplifying the radius, we get,
[tex](x-2)^2+(y-6)^2=16[/tex]
Thus, the equation of the circle is [tex](x-2)^2+(y-6)^2=16[/tex]
Hence, Option D is the correct answer.
Math Journal Choose one of the following percents: 25%, 40%, or 60%. Use a
model and words to explain what that percent means. Write at least two fractions
that represent your percent.
End of Lesson Checklist
Two fractions that also represent 60% are 6/10 and 12/20, which can be simplified to 3/5.
What is percent?Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". Percentages are used in many areas, including finance, statistics, and science, to represent relative values or changes.
According to question:I choose 60%.
60% means 60 out of 100 or 60/100 or 3/5. It represents a fraction of a whole or a part of a group that is equivalent to 60 parts per 100 parts, or 3 parts per 5 parts.
For example, if there are 100 students in a class and 60 of them are girls, then 60% of the class are girls. Another example could be if a store is offering a 60% discount on a $100 item, then the discounted price would be $40.
Two fractions that also represent 60% are 6/10 and 12/20, which can be simplified to 3/5.
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Felipe used 40 percent off coupon on single item at the craft store which saved him $16.42. What would be the item have cost if he had not used the coupon?
Answer:
41.05
Step-by-step explanation:
Given that-
Felipe used 40% off couponSaved him $16.42Original Cost [?]Solve-
Let, "p" represents his original cost.
0.4p = $16.42
0.4p/0.4 = $16.42/0.4 >> Divide both sides by 0.4
p = $16.42/0.40 >> $16.42/0.40 = $41.05
Answer- $41.05
The price of the item was $41.05 if he had not used the coupon.
RevyBreeze
Answer:
$41.05
Step-by-step explanation:
.40c = $16.42
c = $41.05
In the data set below, what is the
interquartile
range?
23 33 45 48 76 78 94 94
The median in this situation is the average of the two middle values, which are 48 and 76: (48 + 76) / 2 = 62
what is median ?When a dataset is sorted in order of magnitude, the median, a statistical measure of central tendency, reflects the middle value of the dataset. The values must first be arranged from lowest to highest in order to determine the median (or largest to smallest). The median is the middle value when the dataset has an odd number of values. The median is indeed the average of the two middle values when the dataset does have an even number of values.
given
We must first determine the values of the first and third quartiles in order to determine the interquartile range (IQR) of a data set.
The median of the lower half of the data set makes up the first quartile (Q1), and the median of the higher half, the third quartile (Q3).
For this data set's Q1 and Q3, you can:
Sort the information from smallest to largest:
23 33 45 48 76 78 94 94
Determine the data set's overall median.
The median in this situation is the average of the two middle values, which are 48 and 76: (48 + 76) / 2 = 62 .
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Nickel-63 is a radioactive substance with a half-life of about 100 years. An artifact had 9.8 milligrams of nickel-63 when it was first measured. Write an equation to represent the mass of nickel-63, in milligrams, as a function of:
An equation to represent the mass of nickel-63, in milligrams, as a function of 9.8 [tex]e^{(-.00001899 d)}[/tex] .
What's a linear equation in calculation?
A linear equation is an algebraic equation of the form y = mxb. involving only a constant and a first- order( linear) term, where m is the pitch and b is the y- intercept. sometimes, the below is called a" linear equation of two variables," where y and x are the variables.
The equation for half life is
n = no [tex]e^{ (-kt)}[/tex]
Where no is the initial amount of a substance , k is the constant of decay and t is the time
no = 9.8
1/2 of that amount is 4.9 so n = 4.9 and t = 100 years
4.9 = 9.8 [tex]e^{ (-k 100)}[/tex]
Divide each side by 9.8
1/2 = [tex]e^{-100k}[/tex]
Take the natural log of each side
ln(1/2) = ln([tex]e^{(-100k)}[/tex]
ln(1/2) = -100k
Divide each side by -100
-ln(.5)/100 = k
Our equation in years is
n = 9.8 [tex]e^{(ln.5)/100 t)}[/tex]
Approximating ln(.5)/100 =-.006931472
n = 9.8 [tex]e^{(-.006931472 t) }[/tex] when t is in years
Now changing to days
100 years = 100*365 days/year
36500 days
Substituting this in for t
4.9 = 9.8 [tex]e^{(-k 36500)}[/tex]
Take the natural log of each side
ln(1/2) = ln([tex]e^{(-36500k))}[/tex]
ln(1/2) = -36500k
Divide each side by -100
-ln(.5)/36500 = k
Our equation in years is
n = 9.8 [tex]e^{(ln.5)/36500 d)}[/tex]
Approximating ln(.5)/365=-.00001899
n = 9.8 [tex]e^{(-.00001899 d)}[/tex] when d is in days
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Find the value of K , if x-1 is a factor of x^3+3x^2-4x+k
Step-by-step explanation:
These are the steps to this Question...
Carlos has at least as many action figures in his collection as Josh. Carlos has 5 complete sets plus 4 individual figures. Josh has 3 complete sets plus 14 individual figures. Which inequality represents how many action figures can be in a complete set? Responses
Answer:
x ≥ 5
Step-by-step explanation:
Let's represent the number of action figures in a complete set by the variable "x".
Carlos has 5 complete sets plus 4 individual figures, which is a total of:
5x + 4
Josh has 3 complete sets plus 14 individual figures, which is a total of:
3x + 14
The problem states that Carlos has at least as many action figures as Josh, so we can set up the inequality:
5x + 4 ≥ 3x + 14
Simplifying this inequality, we can subtract 3x from both sides:
2x + 4 ≥ 14
Then, we can subtract 4 from both sides:
2x ≥ 10
Finally, we divide both sides by 2:
x ≥ 5
Therefore, the inequality that represents how many action figures can be in a complete set is:
x ≥ 5
Select the correct answer. What are the solutions of this quadratic equation? x2 + 8x + 3 = 0 A. B. C. D. Reset Next
The sοlutiοns οf the quadratic equatiοn [tex]x^2 + 8x + 3 = 0[/tex] are:
[tex]x = -4 + \sqrt{(13)[/tex] and [tex]x = -4 - \sqrt{(13)[/tex]
What is quadratic equatiοn?it's a secοnd-degree quadratic equatiοn which is an algebraic equatiοn in x.
Tο find the sοlutiοns οf the quadratic equatiοn [tex]x^2 + 8x + 3 = 0[/tex], we can use the quadratic fοrmula:
[tex]x = (-b \± \sqrt{(b^2 - 4ac)}) / 2a[/tex]
where a = 1, b = 8, and c = 3.
Substituting these values intο the fοrmula, we get:
[tex]x = (-8 \± \sqrt{(8^2 - 4(1)(3))}) / 2(1)[/tex]
[tex]x = (-8\± \sqrt{(64 - 12)}) / 2[/tex]
[tex]x = (-8 \± \sqrt{(52)}) / 2[/tex]
[tex]x = (-8 \± 2\sqrt{(13)}) / 2[/tex]
[tex]x = -4 \± \sqrt{(13)[/tex]
Therefοre, the sοlutiοns οf the quadratic equatiοn [tex]x^2 + 8x + 3 = 0[/tex]are:
[tex]x = -4 + \sqrt{(13)[/tex] and[tex]x = -4 - \sqrt{(13)[/tex]
Sο the answer is οptiοn C.
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Complete Question:
What are the solutions of this quadratic equation?
x² + 8x + 3 = 0 A. B. C. D.
Chelsea and her two friends split a pizza. They each paid $5. Write a one-step equation for
Answer:
Step-by-step explanation:
$7
Answer:
7$
Step-by-step explanation:
URGENT!! Will give brainliest if right :)
If the formula X=.
Ex, is used to find the mean of the following sample,
what is the value of n?
51, 37, 83, 44, 52, 19, 99, 7, 36, 88
A. 11
B. 10
C. 9
D. 12
Answer:
Correct option is Option A
Step-by-step explanation:
factorize quadratic expressions x-+x+6
After answering the presented question, we can conclude that Therefore, the factorization of the quadratic expression is: x =2 , x= -3
What is quadratic equation?A quadratic equation is x[tex]ax2+bx+c=0,[/tex]which is a single variable quadratic polynomial. a 0. Because this polynomial is of second order, the Basic Theorem of Algebra implies that it has at least one solution. Simple or complex solutions are possible. A quadratic equation is a quadratic equation. This means it has at least one word that must be squared. One of the most common solutions for quadratic equations is [tex]"ax2 + bx + c = 0.[/tex]" where a, b, and c are numerical coefficients or constants. where the variable "X" is unnamed.
In a quadratic equation
[tex]ax2+bx+c=0, to solve one splits the middle term in two parts so that their sum is b and product is ac.Hence, in x2+x−6=0 one needs to split 1×(−6)=−6 in two parts whose sum is 1. It is apparent that these are 3 and −2, hence x2+x−6=0 can be written asx2+3x−2x−6=0 orx(x+3)−2(x+3)=0 or(x−2)(x+3)=0i.e. either x−2=0 i.e. x=2or x+3=0 i.e. x=−3[/tex]
Therefore, the factorization of the quadratic expression is:
x = 2, x=-3
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question is - How do you factor and solve
[tex]x2+x−6=0?[/tex]
Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−6, −6), B(6, 6), C(0, 6). Determine the scale factor used.
2
one half
3
one third
Answer:
the scale factor is 2
Step-by-step explanation:
Take each x and y value and multiply it by 2 and you get the coordinates for the image.
Helping in the name of Jesus.
The scale factor is 2. Point B goes from (3,3) to (6,6). 6/3 is 2. Similar triangles have the same shape and the three angles' measurements are likewise the same.
Their sides are the only thing that differs. The scale factor, which is what is referred to here as this, is the ratio of one triangle's sides to those of another triangle. To calculate the scale factor for the smaller triangle to the bigger triangle, divide one of the sides in the bigger triangle by its corresponding side in the smaller triangle. In the example, the scale factor would be 2 if you divided 40 by 20.
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HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
- - 4 turns into + 4
then 3/4 + 7/12 + 4 find common denominator to add or subtract fractions
9/12 + 7/12 + 48/12 = ( 9+7+48 ) / 12 = 64/12 = 5 1/3
(3х2^y- 2 -7*2^y-2)÷( 5*2^y-2)
To simplify this expression, we can follow the order of operations:
1. Simplify the expression inside the parentheses first:
(3x2^y - 2 - 7x2^(y-2))
2. Combine like terms:
3x2^y - 7x2^(y-2) - 2
3. Rewrite the denominator with a common base of 2:
5x2^(y-2)
4. Divide the numerator by the denominator:
(3x2^y - 7x2^(y-2) - 2) ÷ (5x2^(y-2))
5. Simplify by dividing each term in the numerator by 5x2^(y-2):
(3x2^y)/(5x2^(y-2)) - (7x2^(y-2))/(5x2^(y-2)) - (2/(5x2^(y-2)))
6. Simplify the exponents:
(3/5)x^(y-2) - (7/5) - (2/5)x^(-2)
So the final simplified expression is:
(3/5)x^(y-2) - (7/5) - (2/5)x^(-2)
Awarding 15 points for best answer!
Answer:
Step-by-step explanation:
First
PLEASE HELP IF YOU DO THEN I WILL GIVE CROWN
Answer: Dog show 1 was a dog show for smaller dogs while dog show 2 was a dog show for larger dogs.
Step-by-step explanation:
what type of relation exists between the number of absences and the final grade? be sure to state the type, direction, and strength
There is a linear relationship between the number of absences and grade point average.
Number of absencesThe total number of absences depend on the number of students enrolled in a class. Therefore, a measure independent of the number of students is needed. This leads to the introduction of the concept of normalized absences.
It is defined as: Number of Absences / (Number of Students x Number of Contact Hours).
final gradeA Final Grade is the installation of specific materials - such as screened topsoil - on top of a clay base called, "Rough Grade" that promotes proper drainage and flow of excess water away from existing structures.
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Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?
there are 312 cubic inches of wood left after cutting out a square hole with side lengths of 5 inches from a cube-shaped block with side lengths of 8 inches.
How to find the volume ?
To find the volume of the remaining wood, first find the volume of the cube-shaped block. To find the volume of a cube use V = s³ where s is the side of the cube. In this case, s = 8 inches, so V = 8³ = 512 cubic inches.
Then, find the volume of the hole using the side lengths of the hole and the same depth as the cube, which is 8 inches. The hole has side lengths of 5 inches, so its volume is V = 5² * 8 = 200 cubic inches.
To find how much wood is left after cutting out the hole, subtract the volume of the hole from the volume of the cube:
512 - 200 = 312 cubic inches
Therefore, there are 312 cubic inches of wood left after cutting out a square hole with side lengths of 5 inches from a cube-shaped block with side lengths of 8 inches.
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last year an organization spent $500 on food for an event 100 people attended this year they plan for 120 people to attend the event .Food costs the same per person as it did last year .From last year to this what is the percent change in the money the organization seconds on food? Show Your Work.
Answer: wassup, so basically the price just increases by like 20% because of how many more people are coming thats the best way i can say to help u understand it. hope I helped a bit
diego says the expression 14-0.6t helps him understand this situation. in this situation, what does this expression represent, and what does the variable t stand for?
The given expression 14 - 0.6t is representing the amount of fuel that has been remaining after "t" days of use.
14 - 0.6t is an algebraic expression. The car had 14 gallons of fuel at first and after each day of use, the car used 0.6 gallons which means that the amount of fuel that is remaining in the car at the end of the day is continuously decreasing by 0.6 per day. So, after "t" days of use, the car must have 0.6×t gallons of fuel, and the amount of fuel that remains in the car will be 14 - 0.6t.
When the warning light comes on, the remaining fuel is 1.5 gallons or less. So we can set the expression 14 - 0.6t to 1.5 and solve for t to find the number of days it takes for the warning light to come on:
14 - 0.6t = 1.5
0.6t = 12.5
t = 20.83
Therefore, it takes approximately 20.83 days of use for the warning light to come on.
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Find the value of x and round to the nearest tenth
Answer:
x ≈ 22,6°
Step-by-step explanation:
Use trigonometry:
[tex] \cos(x°) = \frac{12}{13} [/tex]
Use the reverse (SHIFT, cos (12/13)) function on your calculator to find the approximate value of x:
x ≈ 22,6°
twice a number is fourteen
The number such that twice a number is fourteen is 7
Calculating the numberIf we let the number be "x", we can write the given information as an equation:
2x = 14
To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides by 2:
2x/2 = 14/2
x = 7
Therefore, the number is 7.
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What is the angle ABC to the nearest angle
By using a protractor or visual estimation, we can estimate the measure of angle ABC to the nearest degree.
To answer your question, let's first start with defining what an angle is. An angle is formed by two rays or line segments that share a common endpoint, called the vertex. The measure of an angle is usually given in degrees and is determined by how much the two rays are turned away from each other.
Now, let's look at the specific angle you asked about, angle ABC. Without a diagram or any additional information about the position of point B and C, it is impossible to determine the measure of angle ABC. However, we can make some general assumptions based on the fact that angle measures range from 0 to 360 degrees.
Assuming that angle ABC is a standard angle and not a reflex angle (i.e. it measures less than 180 degrees), we can estimate the measure of angle ABC to the nearest degree by using a protractor or by visual estimation. A protractor is a tool used to measure angles in degrees, and can be found at most office supply stores or online.
If we don't have access to a protractor, we can still estimate the measure of angle ABC by comparing it to other angles we know the measure of. For example, if angle ABC looks to be about halfway between a right angle (90 degrees) and a straight angle (180 degrees), we can estimate that angle ABC measures around 135 degrees.
In summary, without additional information about the specific position of points B and C, we cannot determine the exact measure of angle ABC. However, by using a protractor or visual estimation, we can estimate the measure of angle ABC to the nearest degree.
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whats the answer. I am confused on this please help
Answer:
All of the above.
Step-by-step explanation:
It is 2 and 3 because they are next to each other and when added together equal to 180 degrees.
It is 5 and 8 for the same reason and so on for the rest.
Answer:
All of the above
Step-by-step explanation:
Supplementary means two angles that add up to 180 degrees.
now, since all of the angles are beside each other, it's automatic that they add up to 180 degrees.
I'm guessing you are learning about transversals and rules on lines.
I did this ixl as well and I understand why you're confused
based on my guessing on what you are learning in school, 4 and 5 would also be supplementary because they are consecutive interior angles
I don't know if you learned this term but that's the best I can explain it.
What is the system of equation for this equation ?
Y=-2,4x-3y=18
Answer:
x = -30
y = 18
Step-by-step explanation:
-2,4x - 3y is equal to both 18 and y
Since there are two equal signs, we have a double equation (we can write each equation seperately and put them in a system):
{y = -2,4x - 3y,
{-2,4x - 3y = 18;
.
We move 3y to the left, so we change the sign to the opposite:
{4y = -2,4x, / : 4 (put y and 3y together)
{-2,4x - 3y = 18;
.
y = -0,6x,
-2,4x - 3y = 18;
Replace y in the 2nd equation with its value from the 1st equation:
-2,4x - 3 × (-0,6x) = 18
-2,4x + 1,8x = 18
-0,6x = 18 / : (-0,6)
x = -30
y = -0,6 × (-30) = 18
The circle graph shows how the annual budget for a company is divided by department. If the total annual budget is $12,500,000, what amount is budgeted for Marketing?
In the circle graph, the amount budgeted for marketing is
4,750,000What is circle graphA circle graph is another term for a pie chart, which is a type of data visualization that represents data as a circle, divided into sectors or slices, each representing a proportion or percentage of the total data set.
The size of each sector is proportional to the value it represents, so larger sectors indicate larger values, and smaller sectors indicate smaller values.
In the circle graph, when the total annual budget is $12,500,000. The amount budgeted for marketing is
= 38/100 * 12,500,000
= 4,750,000
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the time required to assemble a part of a machine follows an exponential probability distribution with a mean of 14 minutes. what is the probability that the part can be assembled in 7 minutes or less? (4 decimal format
The probability that the part can be assembled in 7 minutes or less is 0.2592.
To solve the problem, we need to use the cumulative distribution function (CDF) of the exponential distribution. The CDF gives the probability that the random variable X (in this case, the time required to assemble the part) is less than or equal to a certain value x.
The CDF of the exponential distribution is given by:
F(x) = [tex]1 - e^{(-λx)}[/tex]
where λ is the rate parameter of the exponential distribution, which is equal to 1/mean. In this case, the mean is 14 minutes, so λ = 1/14.
To find the probability that the part can be assembled in 7 minutes or less, we plug x = 7 and λ = 1/14 into the CDF formula: F(7) = [tex]1 - e^{(-(1/14)*7)} \approx 0.2592[/tex]
So, there is a chance of about 25.92% (rounded to four decimal places) that the part can be assembled in 7 minutes or less.
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please help me with this quick. i’ll mark you brainy.
Answer:
[tex] {( - 7)}^{2} - 4(6)( - 1) = 49 + 24 = 73[/tex]
Josephine did not distribute the -1 correctly. -4(6)(-1) = 24.
Here are the correct solutions:
x = (7 + √73) / 12
x = (7/12) + (1/12)√73
please help will give brainliest
The correct explicit rule is f(n) = 50 + 30n
What is Explicit Rule?An explicit rule is a mathematical formula that directly gives the n-th term of a sequence or the value of a function for a given input, without the need to find other terms first. It can be expressed using variables, constants, and operations such as addition, subtraction, multiplication, and division.
To determine who is correct, we need to first understand the meaning of the variables in the explicit rules.
Let n be the number of days the car is rented for.
Let f(n) be the cost of renting the car for n days.
The deposit is a one-time charge and is not dependent on the number of days rented. Therefore, the constant term in the explicit rule should be 50.
Now, for each day rented, the cost is $30. This means that the cost for n days should be 30n.
So the correct explicit rule is:
f(n) = 50 + 30n
Therefore, Kevin is correct with the explicit rule f(n) = 50 + 30(n-1). This is because we subtract 1 from n since the deposit is charged only once at the beginning and is not included in the daily rate.
Suzanne's explicit rule, f(n) = 80 + 30(n-1), adds an extra $30 to the cost of renting the car, which is not correct.
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The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Sunny Town is skewed
IQR, because Desert Landing is symmetric
Range, because Sunny Town is skewed
Range, because Desert Landing is symmetric
Answer:
Range, because it measures the difference between the highest and lowest values in a dataset, providing a clear measure of variability for both sets of data. It is not affected by skewness or symmetry, which makes it a useful measure of variability for comparing the temperature consistency between Desert Landing and Flower Town.
Step-by-step explanation:
Hope this helps!=D
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