The number of bills worth $20 is found to be 18 and the number of bills worth $5 is 12.
What is defined as the linear equation in two variables?A linear equation in two variables is one that is written in the form;
ax + by + c=0, where a, b, and c are real numbers and also the coefficients of x and y, i.e. a and b, are not equal to zero.
Now, as per the given question;
Let 'X' be the number of bills worth $20.
Let 'Y' be the number of bills worth $5.
Then, the total cost of the bills $330 is written as;
330 = 20X + 5Y
Now, if 6 more $5 bills is added to than $20 bills.
Y = X + 6, as there are 6 more $5 bills than $20 bills.
Substitute the value of Y in original equation.
330 = 20X + 5(X+6)
330 = 20X + 5X + 30
Further solving the equation.
300 = 25X
X = 300/25
X = 12 (number of bills worth $20)
Substitute the value in Y to find the number of bills worth $5.
Since, there are 6 more $5 bills than $20 bills, Y = 12+6 = 18
Thus, there are 18 number of bills worth $20.
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Which point belongs on the line y = 2x - 5?
(1,3)
(0.7)
(2,-1)
(3.-11)
Answer:
(2, - 1 )
Step-by-step explanation:
to determine which point belongs on the line, substitute the x- coordinate into the right side and if the value obtained is equal to the y- coordinate then it lies on the line.
(1, 3 ) : y = 2(1) - 5 = 2 - 5 = - 3 ≠ 3 ← not on line
(0, 7 ) : y = 2(0) - 5 = 0 - 5 = - 5 ≠ 7 ← not on line
(2, - 1 ) : y = 2(2) - 5 = 4 - 5 = - 1 ← lies on line
(3, - 11 ) : y = 2(3) - 5 = 6 - 5 = 1 ≠ - 11 ← not on line
The lengths of the four sides of a quadrilateral (in inches) are consecutive integers. If the perimeter is 110110 inches, find the value of the longest of the four side lengths.
The lengths of the four sides of such a quadrilateral as indicated in the task content are; 26, 27, 28 and 29.
What is the Length of the four sides of the quadrilateral?It follows from the task content that the length of the four sides of the quadrilateral in discuss be determined.
Since the lengths are consecutive integers, we can take.the lengths as;
x, (x+1), (x+2), (x+3).
Hence, the sum of the lengths is equal to 110 as follows;
x + (x+1) + (x+2) + (x+3) = 110
4x + 6 = 110
4x = 104
x = 26 which is the shortest of all sides.
Ultimately, the length of the four sides are; 26, 27, 28 and 29.
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According to the given information, segment uv is parallel to segment wz, while angles squ and vqt are vertical angles. angle vqt is congruent to angle squ by the vertical angles theorem. because angles squ and wrs are ________ angles, they are congruent according to the ________ angles theorem. finally, angle vqt is congruent to angle wrs by the transitive property of equality. which term accurately completes the proof? a alternate interior b corresponding c same-side interior d vertical
Angle vqt is congruent to Angle squ by the vertical angles theorem. because angles squ and wrs are corresponding angles, they are congruent according to the Corresponding angles theorem.
Option b is true.
Here,
Segment uv is parallel to segment wz,
Angles squ and vqt are vertical angles.
Angle vqt is congruent to Angle squ by the Vertical angles theorem.
What is corresponding angles?
Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Now,
Angle vqt is congruent to Angle squ by the vertical angles theorem.
When, two angles are corresponding angle then, Angle vqt is congruent to Angle squ by the Vertical angles theorem.
And, they are congruent according to the Corresponding angles theorem.
Hence, Segment uv is parallel to Segment wz, while Angles squ and vqt are Vertical angles. Angle vqt is congruent to Angle squ by the vertical angles theorem. Because angles squ and wrs are corresponding angles, they are congruent according to the corresponding angle theorem. finally, Angle vqt is congruent to Angle wrs by the transitive property of equality.
So, Option b is true.
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let x1, x2 ..., x100 all be independent bernoulli variables, which take a value of 1 with probability 0.5
Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.
What is the missing information?This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:
n = 100, p = 0.5.
The mean and the standard deviation are given by:
[tex]\mu = np = 100(0.5) = 50[/tex].[tex]\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5[/tex]Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (59.5 - 50)/5
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.
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g(x)=4x^2-3x+5, g(x) - g(2)
Solve the question.
f
(
4
x
2
−
5
)
=
12
x
2
−
20
Step-by-step explanation:
Given the polynomial below, identify the following: variable, exponent, constant, and coefficient
-14q^5 - 6
In the polynomials;
The value of variable = q
The value of exponent = 5
The value of constant = -6
The value of coefficient = -14
Here,
The given polynomial is;
-14q⁵ - 6
We have to find the variable, exponent, constant, and coefficient in the polynomial.
What is an Exponent?
An exponent is refer to number of times a number is multiplied by itself.
Now,
In the given polynomial;
-14q⁵ - 6
The variable is = q
Since, the power of q is 5.
Hence, The value of exponent = 5
And, The value of constant term = -6
And, The value of coefficient = -14
Therefore, In the polynomials;
The value of variable = q
The value of exponent = 5
The value of constant = -6
The value of coefficient = -14
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please help!
not sure how to find 3 and 4
Find a linear function that models the relationship between the two variables and describe the slope and intercept (For example, if P = 7.5s +80 gives weekly pay P, as a function of number of units sold s, then the slope of 7.5 is the pay per unit sold and the intercept of 80 is the amount of the employees base pay each week.)
Housing prices in a particular neighborhood increased at rate of $1,200 per year. If you bought a home in 1960 for $45,000, what would it be worth today? Let H be the price of the house and let t be the number of years since 1960 and find a formula for that relates the two, then use it to answer the question.
The linear function that models the relationship between the two variables is y = 1200x+ 45000
How to find a linear function that models the relationship between the two variables and describe the slope and intercept?The given parameters are
Rate = $1200 per year
Initial price in 1960 = $45000
In a linear function, we have
Slope, m = Rate
Y-intercept, c = Initial price
A linear equation is represented s
y = mx + c
So, we have
y = 1200x+ 45000
Hence, the linear function that models the relationship between the two variables is y = 1200x+ 45000
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write the ratio 9:4 in the form n:1
The ratio in the form of n:1 is 2.25:1.
what is ratio?When comparing two amounts of the same sort, ratio is utilised. For two numbers, a and b, the ratio formula is written as a: b or a/b. Two or more ratios are said to be in proportion if they are all equal.
A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same sort and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
ratio 9:4
Now we have to write the ratio in the form of n:1
So, divide the ratio by 4
=9 /4 : 4/4
=9/4: 1
=2.25 :1
Hence, the ratio in the form of n:1 is 2.25:1.
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3:00 pm, 12:30 pm, 10:00 pm,…. conjecture: next term:
The next arrival in the sequence 3:00 pm, 12:30 pm, 10:00 pm,... is 7:30 A.M.
The given sequence is 3:00 pm, 12:30 pm, 10:00 pm,...
Let us first find the difference between the arrivals from the given sequence
3:00 pm - 12:30 pm = 2:30
12:30 pm - 10:00 pm = 2:30
Since, each arrival time is 2 hours and 30 minutes prior to the previous arrival time.
Therefore, the next arrival is:
10:00 pm - 2:30 = 7:30 am
Thus, the next arrival in the sequence is 7:30 A.M.
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f(x)=-x-4 solve when f(x)=6
Answer: Pretty sure the answer is -10
Step-by-step explanation: If you replace f(x) with 6, you can figure out the answer more quicker.
6 = -x-4
10 = -x
x=-10
Answer:
2
Step-by-step explanation:
Since f(x) is 6, we can plug that into the equation:
6-4,
which gives us 2
ab - cd=?
A=2
B=-3
C=4
D=5
Answer:
x = -26
Step-by-step explanation:
ab - cd = ?
2(-3) - 4(5) = x
-6 - 20 = x
-26 = x
what the answerr need help asap
The answer is B
since sqrt x = x ^1/2 one being the power of the x and two being the number of radical
in this case 7sqrt x^3 = x ^ 3/7 which is B
what is the range of h(x) = |x| − 2??? please help
Answer:
it's C_67$-$(?9
Step-by-step explanation:
it's )3)384((3(# 920
Find the difference. –8 – (–11)
Answer:
3.Step-by-step explanation:
Subtract:
-8 - (-11)= -8 + 11 or 11 + (-8)= 3.The table shows a proportional relationship between the mass, in kilograms (\text{kg})(kg)left parenthesis, start text, k, g, end text, right parenthesis, of a dog and the milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of flea medicine a veterinarian prescribes.
Using a proportional relationship, the numbers that could be used as the missing values in the table are:
35 kg, 1.4 ml.
What is the missing information?The table is given by:
50 kg, 2 ml.10 kg, 0.4 ml.5 kg, 0.2 ml.x kg, x ml.It asks for the missing value in the table, and the options are given as follows:
15 kg, 0.9 ml.25 kg, 0.8 ml.40 kg, 1.6 ml.35 kg, 1.4 ml.20 kg, 1.2 ml.What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Considering point (50,2), the relationship is given by:
y = 0.04x.
As k = 2/50 = 0.04.
When x = 35, we have that:
y = 0.04 x 35 = 1.4.
Which means that the point is:
35 kg, 1.4 ml.
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Answer:
c and d
Step-by-step explanation:
Find the distance between -452 and 12.
Answer: 440
Step-by-step explanation: You add 12 to -452
I believe how you find the difference between two numbers is by adding their absolute value. The absolute value ignores the negative and positive values and is really just the distance of the number from 0.
So, with -452 and 12, the distance between them is 464 units
answer: 464
Im sorry if that was confusing!
-3(x+5)= 3(x-1) solve for x
Answer: x=-2
Step-by-step explanation:
-3(x+5)= 3(x-1)
-3x-15=3x-3
-3x-15=3x-3
-15=6x-3
6x=-12
x=-2
i need help (30 pt) + brainliest
Answer:
x + y
Step-by-step explanation:
x + y = - [tex]\frac{11}{8}[/tex] + (- [tex]\frac{11}{4}[/tex]) = - [tex]\frac{11}{8}[/tex] - [tex]\frac{11}{4}[/tex] = - [tex]\frac{11}{8}[/tex] - [tex]\frac{22}{8}[/tex] = - [tex]\frac{33}{8}[/tex]
x - y = - [tex]\frac{11}{8}[/tex] - (- [tex]\frac{11}{4}[/tex] ) = - [tex]\frac{11}{8}[/tex] + [tex]\frac{11}{4}[/tex] = - [tex]\frac{11}{8}[/tex] + [tex]\frac{22}{8}[/tex] = [tex]\frac{11}{8}[/tex]
then
x + y < 0 , that is x + y is negative
there are nine blocks in a bag: three red, three white, and three blue. three blocks are selected at random and without replacement. the probability that at least two of the blocks will be different colored is where are relatively prime. what is
The probability that the three balls have different colours is [tex]\frac{2}{7}[/tex]
Given that An bag contains nine balls, three of which are red, four of which are blue, and two of which are green. Three balls are drawn at random from the bag without replacement and asked to find the probability that the three balls have different colours is [tex]\frac{2}{7}[/tex]
Selecting of 3 balls=9c3
selection of 3 different colour balls=3c1×4c1×2c1
probability:
probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To determine how likely an event is to occur, mathematics has created the concept of probability.
probability=[tex]\frac{3c1.4c1.2c1}{9c3}[/tex]
probability= [tex]\frac{2}{7}[/tex]
Therefore,The probability that the three balls have different colours is [tex]\frac{2}{7}[/tex]
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the manufacturer of brand a automobile tires claims that its tire can save gallons of fuel over miles of driving, as compared to a popular competitor (brand b). if gasoline costs $ per gallon, how much per mile driven does this tire save the customer (brand a versus brand b)?
This tire will save $0.008 per mile
Step-by-step explanation:First of all the given information is
110 gallons per 55,000 miles
We need to find
Money saved per mile
55000 = 110
1 = 110/55000
1 miles = 0.002 gallons
Price of 1 gallon = $4.00
Price for 1 mile = 0.002 x 4.00
Price for 1 mile = $0.008
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The question is missing vital information. Therefore, complete question is
The manufacturer of Brand A automobile tires claims that its tire can save 110 gallons of fuel over 55,000 miles of driving, as compared to a popular competitor (brand B). If gasoline costs $4.00 per gallon, how much per mile driven does this tire save the customer (Brand A versus Brand B)?
Find an equation for the line below.
To find the equation of a line, you need to use the formula [tex]m=\frac{y-y_0}{x-x_0}=\frac{rise}{run}[/tex] to find the slope first.
To find the respective points that we need to plug into this formula, we need to use the axes and their values.
We can see that the first point (point on the left) has a position of (-1, -1). For the second point, we see that it has a position of (5, 1).
** remember, whenever you find the position of a point, it's always (x, y). Now that we have our values, we can plug and chug!
[tex]m=\frac{y-y_0}{x-x_0}\\m= \frac{1-(-1)}{5-(-1)} \\m=\frac{1+1}{5+1} \\m=\frac{2}{6} \\m=\frac{1}{3}[/tex]
So your answer should be 1/3 for your slope.
Now you need to find your y intercept, or what y will equal if x = 0. We can find this by using the information we now have. Remember, the equation for a linear line is [tex]y=mx+b[/tex]. So now, we plug in any of the two points (it doesn't matter which pair!) and solve for b!
[tex]y=mx+b\\-1=\frac{1}{3}(-1)+b\\ -1=-\frac{1}{3}+b\\-1+\frac{1}{3}=b\\b=-\frac{2}{3}[/tex]
Now we have b!
So now, we can fully finish the equation of this line. Your final answer should be: y = (1/3)x - 2/3 or [tex]y=\frac{1}{3}x-\frac{2}{3}[/tex].
Hope this helps!
Use the trapezoid shown to mark each statement below as true or false. if false, please rewrite the statement correctly in the space below the statement!
Q: The perimeter of the trapezoid shown is 22 units.
True false?
FIRST TO ANSWER IS MARKED BRAINLIEST!!!
Answer:
False
The perimeter of the trapezoid shown is 23 units
Step-by-step explanation:
How to do rate of change using a table ? (7th grade math)
To find the rate of change in a tablet the same process applies:
1. find the coordinates of the given points, it's optional to label them.
2. find the difference between the output values.
3. find the difference between the input values.
4. calculate the ratio between the change in y to the change in x: ∆y∆x.
That's the correct answer stated above.
A equals two, B equals -3, sequels, four, D equals five
Answer:
i dont get what the question is
10 POINTS FOR THE ANSWER
Explain in your own words using appropriate vocabulary on how you determine what side is opposite, adjacent and the hypotenuse.
It should be noted that the hypotenuse is the longest side in the triangle. The opposite is the side facing the angle and the adjacent is the last side.
How to illustrate the information?The hypotenuse is the longest side of a right triangle. An "opposite" side is one that is across from a given angle, while a "adjacent" side is one that is close to a given angle.
According on the angle requested, adjacent and opposing sides can differ. The side that is opposite to the requested angle is the opposite side, and the side that is immediately adjacent to the requested angle is the adjacent side.
In conclusion, the opposite is the side facing the angle and the adjacent is the last side.
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1-87 Plot the points A(3,2) B(3,6) C(5,4) on a piece of graph paper and translate the figure up 2 units
and left 5 unita.
the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.
We are given the coordinates of the points:
A (3 , 2)
B (3 , 6)
C (5 , 4)
We need to plot them on the graph paper.
Now, we need to translate the points 2 units to the up and 5 units to the left.
So, the coordinates will change from ( x , y ) to ( x - 5 , y + 2)
So, we get that:
A (3 , 2) will become A' ( - 2 , 4)
B (3 , 6) will become B' ( - 2 , 8)
C (5 , 4) will become C' ( 0 , 6)
Therefore, we get that, the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.
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At the Throw Factory, the assembly line produces 122 baseballs in a batch. The baseballs are packaged in boxes with 11 each. If 8 batches are made in one day, how many baseballs will be leftover at the end of it?
The baseballs produced in a day would fill 88 boxes and there would be 8 baseballs leftover.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
The assembly line produces 122 baseballs in a batch, If 8 batches are made in one day hence:
Total baseballs produced = 8 batches * 122 balls per batch = 976 balls
Each box contain 11 baseballs each, hence:
number of boxes = 88 boxes and 8 baseballs remaining
The baseballs produced in a day would fill 88 boxes and there would be 8 baseballs leftover.
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researchers collect continuous data with values ranging from 0-100. in the analysis phase of their research they decide to categorize the values in different ways. given the way the researchers are examining the data - determine if the data would be considered nominal, ordinal or ratio (you may use choices more than once).
The data in the given three questions can be considered as nominal, ordinal and ratio, respectively.
The frequency (or absolute frequency) of an event in statistics is the number of times the observation occurred or was recorded in an experiment or research.Within a variable, nominal data is data that may be labelled or categorized into mutually exclusive groups. These categories cannot be meaningfully arranged.Ordinal data is a sort of categorical, statistical data in which the variables have natural, ordered categories but the distances between them are unknown.Two categories ( low vs high): frequency of values between 0-49 and frequency of values between 50-100 : nominal Three frequency (count) categories (low, medium, and high) of values ranging from 0 to 25, 26 to 74, and 75 to 100 : ordinalAnalyze each number in the set individually : ratioTo learn more about frequency, visit :
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if a student received 13/15 on their math quiz, what percentage did the student get on that quiz? (round to the nearest whole percentage)
The student got 87% in the quiz.
Given,
Marks obtained by student = 13/15
percentage received = 13/15 × 100
= 86.6%
= 87%(nearest whole percent)
What is meant by percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.
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