Answers
Answer:
measure of angle 1=180-123=57°[exterior angle is supplementary]
Related Questions
Find two irrational numbers between 5 9 and 16 5
Answers
Answer:
Step-by-step explanation:
I am assumimg you mean 5/9 and 16/5.
2 irrational numbers between these values are e and π.
Two irrational numbers between 5 / 9 and 16 / 5 are,
⇒ 0.56674549....
⇒ 0.588454755....
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
Two rational numbers are,
⇒ 5 / 9 and 16 / 5
Now, We get;
⇒ 5 / 9 = 0.5555
⇒ 16 / 5 = 3.2
Hence, Two irrational numbers between 5 / 9 and 16 / 5 are,
⇒ 0.56674549....
⇒ 0.588454755....
Thus, Two irrational numbers between 5 / 9 and 16 / 5 are,
⇒ 0.56674549....
⇒ 0.588454755....
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excel's can be used to construct a crosstabulation. chart tools sum function pivottable report countif function
Answers
Excel's PivotReport Table can be used to construct a crosstabulation.
What is Pivot Report Table?
Data summaries are created using pivot tables. Large data sets can be processed automatically, and the resulting report can include groupings of the data as well as count totals, averages, sums, and other calculations. Pivot report tables offer insight that could be challenging to perceive otherwise.Here is a table with sales data in its original format as an illustration. It includes a list of the goods that salespeople offer. However, it is challenging to evaluate the effectiveness of each salesperson or determine which product brings in the most money. A pivot report table can be used to quickly access data and accurately answer these queries.To know more about pivot report table check the below link:
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Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.
Answers
Answer:
c = 5/Cos 35
Step-by-step explanation:
We are given the following
m<ACB = 90degrees
m<ABC = 35degrees
The side opposite to m<ABC is AC
BA = hypotenuse
CB = adjacent = 5inches
Required
Equation to solve BA which is c
Using the Pythagoras theorem;
Cos theta = Adjacent/Hypotenuse
Cos m<ABC = CB/BA
Cos m<ABC = 5/c
c = 5/cosm<ABC
c = 5/Cos 35
Hence the equation that can be used to solve for c is c = 5/Cos 35
A recipe for 1 batch of cookies calls for 1 cups of flour. How many cups of flour are needed
for 3 batches?
4 cups
3 cups
6 cups
4 cups
Dans
Answers
Answer:
3 Cups of flour
Step-by-step explanation:
1 batch of cookies = 1 cup of flour
2 batch of cookies = 2 cups of flour
3 batch of cookies = 3 cup of flour
I hope i helped you :)
Approximately how many liters are in 18 quarts?
Answers
Answer:
18 liquid quarts ≈ 17 litres
Answer:
18 us liquid quart =17.034 liters
Step-by-step explanation:
1) 1 us liquid quart = 0.946 liter
2) Multiply 0.946 *18 = 17.034
What is the degree form for 4π/5 radians?
Answers
Answer: 144 degrees
Step-by-step explanation:
Formulas:Radian ⇒ Degree = 180/π
Degree ⇒ Radian = π/180
\(\frac{4\pi }{5} *\frac{180}{\pi } =\frac{4}{5} *\frac{180}{1} =\frac{720}{5} =144\)
Therefore your answer is 144 degrees
Hello !
π rad <=> 180°
4π/5 rad <=> ?°
The calculation ils attached.
We found 144°.
Have a nice day ;)
Miranda purchased a coat for $101.50 that was regularly priced at $145, not including tax. what percentage did miranda save by purchasing a coat on sale?
Answers
If Miranda purchased a coat for $101.50 that was regularly priced at $145, not including tax then the percentage Miranda saved by purchasing the coat on sale is equal to 30%.
Percentage in mathematics can be described as a number expressed as a fraction of 100. The symbol % is used to indicate a percent.
The percentage Miranda saved by purchasing the coat on sale can be calculated as follows,
First, subtract the regular price from the price at which she purchased
145 - 101.50 = 43.5
Now, divide this number by the regular price of the coat,
43.5 ÷ 145 = 0.3
Now, the percentage Miranda saved can be calculated by multiplying the result by 100,
0.3 × 100 = 30%
Hence, the percentage Miranda saved by purchasing the coat on sale is calculated to be 30%.
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What is the stretching frequency (in cm
−1
) of the following carbony? 1685 1765 1715 1775 and 1810 Question 4 0.5pts What stretching frequencies ( in cm
−1
) are present in the structure below? none of these 1500 all of these 3095 2950 C=O Tweaks: Functional Group Ketone/Aldehyde/Carboxylic Acid: "normal" - Ester increases vibrational energy +30 cm
−1
- Amide decreases vibrational frequency −30 cm
−1
- Acyl halides/anhydride increase energy more than 30 - Complimentary Peaks: OH,CHO, C= O Tweaks: Strain/Conjugation - Conjugation decreases vibrational frequency −30 cm−1 - Conjugation on both sides of the carbonyl −60 cm−1 - Cyclohexane is strain-free and "normal" - Strain increases vibrational energy +30 cm−1 - More strain, higher energy
Answers
In IR (Infrared) spectroscopy, stretching frequency is the frequency at which the bond stretches. It is the frequency at which a bond oscillates most strongly, indicating the bond's stiffness or spring constant.
The stretching frequency is affected by various factors, including the bond's strength, mass of the atoms, neighboring atoms, etc. The effect of the conjugation on the stretching frequency is of particular interest to us in this question. Conjugation refers to a series of alternating double bonds in a molecule.
It results in the delocalization of electrons in the molecule, which reduces the stiffness of the bond, reducing the stretching frequency. This reduction in vibrational frequency, as mentioned earlier, can be up to 30 cm−1 for each double bond involved in the conjugation.
A conjugated molecule has fewer stretching frequencies than an unconjugated molecule, resulting in broader and weaker peaks.ACYL halides/anhydride increase the energy more than 30 cm−1. The stretching frequency of the bond decreases when the carbonyl compound is conjugated on both sides of the carbonyl. It decreases by -60 cm-
1.Cyclohexane is strain-free and "normal." However, when a molecule is strained, it has a higher vibrational energy. The vibrational energy increases by +30 cm-1 when there is more strain. Strain is the energy required to distort a bond from its natural shape. This occurs when the atoms or groups on each end of the bond come too close together or are too far apart from each other.
In addition to strain, conjugation, neighboring atoms, mass of the atoms, bond strength, and other factors affect the vibrational energy of a bond in IR spectroscopy. In summary, stretching frequency is a measure of the bond's stiffness, which is affected by various factors such as conjugation, neighboring atoms, bond strength, etc.
When a bond is conjugated, the vibrational frequency decreases, and when a molecule is strained, the vibrational energy increases.
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Convert the given from of the function into the other two forms
Answers
Step 1: Standard form to vertex form of rows 1 and 2:
\(\begin{gathered} S\tan dard\text{ form} \\ y=ax^2\text{ + bx + c} \\ \text{Vertex form } \\ y\text{ = }a(x-h)^2\text{ + k} \end{gathered}\)Standard form of row 1 to vertex form
\(\begin{gathered} y=x^2\text{ - 2x - 3} \\ y=x^2-2x+1^2-3-1^2 \\ \text{y = (x -1 )}^2\text{ - 3 - 1} \\ y=(x-1)^2\text{ - }4 \end{gathered}\)Intercept form of row 3 to vertex form.
\(\begin{gathered} y\text{ = (}x\text{ + 2)(x - 3)} \\ y=x^2\text{ - 3x + 2x - 6} \\ y=x^2\text{ - x - 6} \\ y=x^2\text{ - x + (}\frac{1}{2})^2\text{ - 6 - (}\frac{1}{2})^2 \\ y\text{ = (x - }\frac{1}{2})^2\text{ - 6 - }\frac{1}{4} \\ y\text{ = (x - }\frac{1}{2})^2\text{ - }\frac{25}{4} \end{gathered}\)Standard form to intercept form row 1
\(\begin{gathered} y=x^2\text{ - 2x - 3} \\ \text{method: factorize} \\ y=x^2\text{ - 3x + x - 3} \\ y\text{ = x(x - 3) +1( x - 3)} \\ y\text{ = (x + 1)(x - 3)} \end{gathered}\)Intercept form to standard form row 3
\(\begin{gathered} y\text{ = (x + 2)(x - 3)} \\ y\text{ = x(x - 3) + 2(x - 3) by distribution} \\ y=x^2\text{ - 3x + 2x - 6} \\ y=x^2\text{ - x - 6} \end{gathered}\)Vertice form to intercept fomr
Which is true about the polynomial 3x - 4 + 5x2?
A
It is a binomial with a degree of 2.
B
It is a trinomial with a degree of 2.
C
It is a binomial with a degree of 3.
D
It is a trinomial with a degree of 3.
Answers
Answer:
b its a trinominal with a degree of 2
The polynomial, 3x - 4 + 5x², is a trinomial with a degree of 2.
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
We have the polynomial,
3x - 4 + 5x²
To find the degree of a polynomial:
We take the highest powered variable, and the order of that variable is equal to the degree of the polynomial.
Here, the highest power is 2.
So, the degree is 2.
And the polynomial has three terms.
So, the polynomial is trinomial.
Therefore, it is a trinomial with a degree of 2.
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how do i solve \(2x^{5} y -3x^{2} y
Answers
Lucy bought 4 pairs of pants for $21.79 each. She paid the cashier using as few $20 bills as necessary. How much change did she receive?
Answers
The amount of change Lucy receives if she paid with few $20 bills is $12.84
How to find amount of change to receiveCost of each pair of pants = $21.79Number of pairs of pants = 4Total cost of pants = $21.79 × 4
= $87.16
Amount paid to the cashier = few $20 billsIf the total cost of the pants exceeds $80, then she paid with 5 $20 bills
5 $20 bills = $100
Her change = $100 - $87.16
= $12.84
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the sum of three times a number (x) and −23 is 28
Answers
Answer:
x=17
Step-by-step explanation:
3x-23=28
3x-23+23=28+23
3x=51
x=17
the point (4, -3) is reflected across the y-axis. graph the new coordinate.
Answers
-4,-3
Step-by-step explanation:
If you reflect over the y axis only the x #
The economy is in a recession. Real GDP is well below potential GDP. If the government wants to increase real GDP so that it is closer to potential GDP, it could ____. (Select all that apply.) Group of answer choices -increase government spending -decrease government spending -decrease taxes -increase taxes
Answers
To increase real GDP and bring it closer to potential GDP during a recession, the government could increase government spending and/or decrease taxes.
During a recession, when real GDP is below potential GDP, the government can use fiscal policy tools to stimulate economic growth and close the GDP gap. The two options that can be effective in this situation are increasing government spending and decreasing taxes.
Increase government spending: By increasing spending on infrastructure projects, education, healthcare, or other sectors, the government can create demand in the economy, which leads to increased production and employment, ultimately raising real GDP.
Decrease taxes: Reducing taxes can provide individuals and businesses with more disposable income, encouraging consumption and investment. This increased spending and investment can boost aggregate demand, leading to higher production levels and closing the GDP gap.
Decreasing government spending and increasing taxes, on the other hand, would have contractionary effects, potentially exacerbating the recessionary conditions by reducing overall demand in the economy. Therefore, these options are not suitable for increasing real GDP during a recession.
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Please help asap. No links for a answer or I will report you
8th Grade
Answers
Answer:
S
Step-by-step explanation:
it takes 222 wooden sticks and 1.51.51, point, 5 square feet of paper to make a kite, and it takes 121212 wooden sticks and 888 square feet of paper to make a lamp.
Answers
To make a kite, you need 222 wooden sticks and 1.5 square feet of paper. For a lamp, you need 12 wooden sticks and 88 square feet of paper.
Now, let's calculate the number of wooden sticks and square feet of paper needed for the kite and the lamp separately.
For the kite:
- Number of wooden sticks: 222
- Square feet of paper: 1.5
For the lamp:
- Number of wooden sticks: 12
- Square feet of paper: 88
it takes 222 wooden sticks and 1.5 square feet of paper to make a kite, while it takes 12 wooden sticks and 88 square feet of paper to make a lamp.
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Let A and B be events with P(A) 0.3 and P(AUB) 0.7. a. For what value of P(B) will A and B be mutually exclusive? b. For what value of P(B) will A and B be W1 independent?
Answers
The value of P(B) when A and B are mutually exclusive is 0.4 and when A and B are independent is zero.
Mutually exclusive events are those events which do not occur at the same time. For a mutually exclusive event we have the formula,
P(A∪B) = P(A) + P(B) - P(A∩B)
Here P(A∩B) is equal to zero and P(A) = 0.3 and P(A∪B) = 0.7
Now when we substitute the values we get
0.7 = 0.3 + P(B)
=> P(B) = 0.7 - 0.3
=> P(B) = 0.4
Now, if the events are independent then we have the formula
P(A∩B) = P(A)×P(B)
Since we already know that P(A∩B) = 0 then
0 = 0.3×P(B)
=> P(B) = 0 which means that the event will not take place.
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how many years after the 1972 ban did it take for ddt levels to move from a rapid to slower rate of decline
Answers
According to all Reports of U.S media and other,
approx. 97 years after in 1972 ban did it take for ddt levels to move from a rapid to slower rate of decline.
DDT (dichloro-diphenyl-trichloroethane) has been one of the most commonly used pesticide chemicals in the United States for many years and was first synthesized in 1874. However, its efficacy as an insecticide was not discovered until 1939. Shortly thereafter, especially during World War I, the United States began producing large amounts of DDT abroad to combat vector-borne diseases such as typhoid fever and malaria. It declined sharply, falling from a peak of about $80m that year to just under $12m in the early 1970s. Over 80% of the amount of pesticides used between 1970 and 1972 was on cotton, with the rest mainly on peanuts and soybeans. The decline in DDT use is due to
(1) increased resistance to insects
(2) development of more effective alternative pesticides
(3) Growing public concern about adverse environmental impacts.
(4) Strengthening government restrictions on the use of DDT.
Residues of the pesticide DDT in the food supply, human tissues, and the environment have declined in recent years, especially since the EPA banned the chemical from major uses in 1972.
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researchers typically report the adjusted r-square value because they lack confidence in the actual r-square.
T/F
Answers
Answer: False
Step-by-step explanation:
Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.
The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.
In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.
Two cow gauri and bindiya are grazing in a field they are tethered uing end of ame rope fixed at point O gauri move from a to b and bindiya move from c to d total area grazed by the cow i 10 pie m q. Length of robe i 12 cm
Answers
The total distance traveled by the cows are 3.58 meters. To calculate that we need to calculate fourth area before.
It sounds like you are trying to solve a problem involving two cows grazing in a field and the area that they graze. Here is a possible solution:
First, draw a diagram to represent the situation. Let O be the point where the rope is fixed, and let A and B be the points where Gauri moves between. Similarly, let C and D be the points where Bindiya moves between. Draw the lines connecting these points to form four sides of a quadrilateral.Next, measure the lengths of the sides of the quadrilateral. Since the total area of the quadrilateral is 10 square meters, and the length of the rope is 12 cm.We can use the formula for the area of a quadrilateral to solve for the fourth side:
Area = (1/2) x (12 cm) x (fourth side)
Solving for the fourth side, we get:
Fourth side = (20 cm)/(12 cm) = 1.67 meters
Finally, add up the lengths of the four sides to find the total distance traveled by the cows:
Total distance = (1.67 meters) + (12 cm) + (1.67 meters) + (12 cm) = 3.58 meters
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an exam consists of 50 multiple choice questions. based on how much you studied, for any given question, you think you have a probability of 0.65 of getting the correct answer. consider the sampling distribution of the sample proportion of correct questions out of 50 questions.
Answers
The answer to all the subparts are:
(A) The standard error is 0.068 and the mean is 32.(B) The anticipated shape will be roughly normal.(C) The probability of receiving a score below 60% is 0.278.What do we mean by probability?Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.The four most common approaches to probability are axiomatic, classical, empirical, and subjective.So, the formula for mean calculation:
E(x) = npSo, we obtain:
E(x) = 50 × 0.64E(x) = 32The formula for standard error:
\(S E=\sqrt{\frac{p+(1-p)}{n}}\)So, we get:
\(\begin{aligned}&S E=\sqrt{\frac{0.64+(1-0.64)}{50}} \\&S E=\sqrt{0.004608} \\&S E=0.068\end{aligned}\)
So, the standard error is 0.068, and the mean is 32.
Given the size of the sample, a roughly normal shape can be anticipated.
In order to determine the likelihood of scoring less than 60%, we must first determine the z-score using:
\(z=\frac{x-\mu}{\sigma}\)So, we obtain:
\(\begin{aligned}&z=\frac{0.60-0.64}{0.068} \\&z=-0.588\end{aligned}\)
Then,
P (x < 60%) = P (z < -0.588)P (x < 60%) = 0.278Consequently, the probability of receiving a score below 60% is 0.278.
Therefore, the answer to all the subparts are:
(A) The standard error is 0.068 and the mean is 32.(B) The anticipated shape will be roughly normal.(C) The probability of receiving a score below 60% is 0.278.Know more about probability here:
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The complete question is given below:
An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of 0.64 of getting the correct answer. Consider the sampling distribution of the sample proportion of correct questions out of 50. (a) Find the mean and standard error of the sampling distribution of this proportion. Mean = (2 decimal places) Standard error = (3 decimal places) (b) What do you expect for the shape of this sampling distribution? approximately normal because n is large cannot be determined because p is greater than 0.5 cannot be determined because n is large approximately normal because the population is normal (c) If truly p = 0.64, calculate the probability of getting a sample proportion less than 0.60? (correct answers on less than 60% of the questions) Probability = (3 decimal places)
If there are about 5 × 10^6 hair follicles on the human body and about 7 × 10^9 people on the planet, approximately how many total human follicles are there? Give your answer in scientific notation.
Answers
Explanation:
Multiply the number of hair follicles per human to the number of people on the planet
There are about 3.5 * 10¹⁶ human hair follicles.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
given, If there are about 5 × 10^6 hair follicles on the human body and about 7 × 10^9 people on the plane.
=35×10⁹⁺⁶
=35x10¹⁵
=3.5×10¹⁶
So the answer is "There are about 3.5 x 10¹⁶ human hair follicles"
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Pls Pls help asap! no f links pls n will give brainliest n points?
How could you show
Answers
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Consider ΔKML and ΔRTL, we get
RL/KL =15/(15+9)
= 15/24
= 5/8
TL/ML =12.5/(12.5+7.5)
= 12.5/20
= 5/8
Here, RL/KL=TL/ML
Here, ∠KLM≅∠RLT
By SAS similarity, ΔKML and ΔRTL are similar triangles
So, ∠KMT≅∠RTL
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
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Answer:
a
Step-by-step explanation:
got it right in edmentum
A quote website includes a "Surprise me!" button that randomly selects a quote from its database. For every 4 quotes in the database, 3 of them are from dead people. Let Q be the number of quotes a user requests using the "Surprise me!" button until the quote is by a living person. What is the mean and stan dev
Answers
The mean and standard deviation will be 4 quotes and 3.46 quotes respectively
Mean and Standard DeviationA mean is the simple mathematical average of a set of two or more numbersThe standard deviation of a random variable, sample, statistical population, data set, or probability distribution is the square root of its varianceWhat are steps to solve this problem?The steps are given below:
Sine we have a fixed number of successes and count the number of trials needed to obtain that first success, we have a geometric distribution.The mean and standard deviation of a geometric distribution can be calculated by using the formulae :Mean = \(\frac{1}{p}\)
Standard deviation = \(\frac{\sqrt{1-p}}{p}\)
Where p is the probability of success which is \(\frac{1}{4}\) = 0.25 quotesSo mean is \(\frac{1}{0.25}\)= 4 quotesStandard deviation is \(\frac{\sqrt{1-\ 0.25}}{0.25}\ \approx\ \frac{0.866}{0.25}\ \approx3.464\)So the mean is 4 quotes and standard deviation will be 3.46 quotes
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What happens to the shape of a sampling distribution of sample means as n increases?
answer choices
O The skew gets bigger
O The skew is reversed
O It becomes narrower and more normal.
O The shape is the same, but wider
Answers
The shape of the sampling distribution of sample means becomes narrower and more normal as the sample size (n) increases.
As the sample size (n) increases, the shape of the sampling distribution of sample means tends to become narrower and more closely resemble a normal distribution.
This is known as the Central Limit Theorem (CLT). The CLT states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of sample means will approach a normal distribution.
This occurs because as the sample size grows, the effect of random sampling and the Law of Large Numbers lead to the reduction of sampling variability. As a result, the means of larger samples tend to cluster more closely around the true population mean, leading to a narrower and more symmetric distribution.
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6. A linear function f(x) contains the coordinates (-9, 4) and (6,4). Joy says f(x) is a horizontal
line, and Lu says f(x) is a vertical line. Which student correctly described the function?
Explain.
Answers
Answer: Horizontal Line
Step-by-step explanation:
Joy is correct. This is a horizontal line. It has the same y coordinates so it will be a horizontal line.
Joy is saying correct by saying it is a horizontal line.
What is coordinates?Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
Given:
coordinates (-9, 4) and (6,4)
If we plot these point on the graph it will have the y- coordinates same for both coordinates.
Also, if the graph have same y- coordinates then the line joining these points are horizontal in nature.
Hence, Joy is saying correct by saying it is a horizontal line.
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On a horizontal number line, the opposite of the opposite of 2 is to the of zero and is written as .
Answers
On a horizontal number line, the opposite of the inverse of 2 is 2 to the of zero.
What is the opposite of a number?The number on the other side of the 0 number line and at the same distance from 0 is the opposite of a number.
Given:
A number line is a horizontal line.
And a given number is 2.
Zero in the number line represents the origin.
The opposite of 2 to the zero is -2.
So, the opposite of the opposite of 2 means the opposite of -2.
That is -(-2).
And we know that - x - = +.
So, -(-2) = 2.
Therefore, the required value is 2.
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Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1 x = 2 y w y minus 2 x = 4 y w 2 y minus 2
Answers
The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
According to the given question.
We have an equation
2x + 2/y = 4w + 2
Since, we have to find the value of x for the given equation
2x + 2/y = 4w + 2
Thereofore,
2x + 2/y = 4w + 2
⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)
⇒ (x + 1)/y = 2w + 1
⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)
⇒ x + 1 = 2yw + y
⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)
Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
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Arthur has x pennies. His father gave him 6 dimes, and his mother gave him 4 nickels. Which expression represents the number of coins Arthur has now?
a) x+80
b) x+10
c) 6x+4
d) 4x+6
Answers
The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.
How to calculate for the number of coinsWe shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.
A penny = 1 cent, so
x pennies = x cents
A dime = 10 cents so;
6 dimes = 6 × 10cents
6 dimes = 60 cents
A nickel = 5 cents so;
4 nickels = 4 × 5 cents
4 nickels = 20 cents
Arthur's coins in total = (x + 60 + 40) cents
Arthur's coins in total = (x + 80) cents.
Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.
Learn more about pennies, nickels and dimes here: https://brainly.com/question/5193496
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