The price of a shirt is 100 dollars. The store manager gives a discount of 50 dollars. A man and his brother bought 4 shirts and then shared the cost equally. Write a numerical expressions to represent this situation and then find the price paid by each brother.
Answers
Answer:
price paid by each brother: $100
expression: (50x)/2=y
where x is the number of shirts and y is the amount paid by each brother
Step-by-step explanation:
2 bros, $50 per shirt, 4 shirts, all divided by 2 because they split it
The numerical expression of sharing the cost equally is (50 x M)/2.
The price paid by each other is $100
Given,
The price of a shirt is 100 dollars.
The store manager gives a discount of 50 dollars.
We need to find a numerical expression to represent this situation and then find the price paid by each brother.
We have,
Price of the shirt = $100
Discount on each shirt = $50
Cost of shirt after discount = $100 - $50 = $50
A man and his brother bought 4 shirts and then shared the cost equally.
It can be written as:
Let the number of shirts de denoted by M
The numerical expression of sharing the cost equally is:
= (50 x M)/2
Here M = 4 so,
(4 x $50) / 2 = $200 / 2 = $100
Thus the numerical expression of sharing the cost equally is (50 x M)/2
The price paid by each other is $100.
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Related Questions
You have $45 to spend on notebooks and each one costs $5.
Write an inequality for the possible number of notebooks you
could buy, then find out the maximum number of notebooks
you could buy.
notebooks
Answers
Answer:
9notebooks
Step-by-step explanation:
5×y≤45( where y is number of notebooks)
$5=1notebook
$45=$45/$5x1
=9
therefore, you'll be able to buy nine notebooks with$45
Answer:
$5n = $45
n = 9
Step-by-step explanation:
Let n represent the amount of notebooks
$5n = $45
Divide each side by 5
$5n/5 = $45/5
n = 9
so the maximum number of notebooks you can buy is 9
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
You can use the division sign.
Step-by-step explanation:
48÷{2×[(6×5)-(9×3)]} =
48÷{2×[(30)-(27)]} =
48÷{2×[3]} =
48÷{6} =
8
Question 6 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. What may be false
B. What
may
be true
C. What must be true
o
D. None of these
Answers
Answer:
B. What must be true.
Step-by-step explanation:
hope that helps :)
Is -0.25 irrational or rational
Answers
Answer: Irrational
Step-by-step explanation:
-0.25 is irrational because it can be written as a terminating decimal.
Answer:
irrational
Step-by-step explanation:
In a community there are more children than adults. There are more boys than there are girls. Is this possible? Explain your answer. (4)
Answers
Step-by-step explanation:
????
if every adult couple (2 people, 1 man, 1 woman) has 3 or more children, then there are automatically more children than adults.
it is absolutely possible that there are more boys than girls, as it is also possible that there are more girls than boys.
after all, this is a 50% chance, and it is very unlikely that a 50% chance has a true 50/50 split in real events or experiments.
like when flipping a coin. heads and tails will almost never be mathematically precisely split. there will be more heads or more tails.
this might be due to imbalances in the flipping process or in the coin balance itself. or, if truly balanced, it will achieve the full 50/50 split after infinite attempts.
which fraction is equal to 0.5 7
Answers
The value of fraction 0.5 7 is equal to 1/2.
We are given that;
Number = 0.57
Now,
There are different ways to express a fraction as a decimal, but one common method is to divide the numerator by the denominator.
For example, 1/2 as a decimal is 1 ÷ 2 = 0.512.
Another method is to use a fraction to decimal conversion chart or calculator345. According to these sources, 0.5 as a fraction is equal to 5/10 or 1/2.
These fractions are equivalent because they have the same value when simplified or reduced.
To simplify a fraction, we can divide both the numerator and the denominator by their greatest common factor (GCF).
Therefore, by algebra the answer will be 1/2.
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Your credit card has a limit of $9,500 and you have a current balance of $3,200. Answer the following questions using complete sentences: is the debt ratio more or less than 43%(if you could show work for this i would apricate it )
Answers
Answer:
Step-by-step explanation:
9500/3200=296.88% i believe i did it backwards at first sorry
Please answer if your good at math and I will give brainlest.
Tell whether the pair of polygons is similar. Explain why or why not.
Answers
What is the slope of the graph shown below?
Answers
Answer:
Option 3: -2
Step-by-step explanation:
The slope of the graph is negative, and the only option with a negative term for the slope is -2.
So the slope of the graph is -2.
What is the volume, in cubic inches, of a cone that has a radius of 8 inches and a height of 12 inches? Use 3.14 for π , and round to the nearest hundredth. if you answer this WITH NO LINK I will give extra points!
Answers
Answer:
803.84 in^3
Step-by-step explanation:
First of all we have to find the base area
base area = radius^2 x 3.14 = 8^2 x 3.14 = 64 x 3.14 = 200,96 in^2
the volume can be find with this formula:
V = (base area x height)/3
V = (200.96 x 12)/3 = 803.84 in^3
Betsy, a recent retiree, requires $6,000 per year in extra income. She has $60,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
Answers
$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.
The total amount to be invested is $60,000. We are given two options for investing the money.The money can be invested either in B-rated bonds, which pays 13% interest per year, or in a certificate of deposit (CD), which pays 5% interest per year.Let the amount to be invested in B-rated bonds be 'x'. The amount to be invested in a certificate of deposit equals 60,000-x. The requirement is to get an exact amount of interest that equals $6000. The total interest per year = 13% of 'x' + 5% of (60,000-x).6,000 = 13x/100 + 5(60,000-x)/100.6,00,000 = 13x + 5(60,000-x)6,00,000 = 13x + 300,000-5x6,00,000 = 8x + 300,0008x = 300,000x = 300,000/8x = 37,500Now calculate the value of 60,000-x.60,000-x = 60,000-37,50060,000-x = 22,500Thus, the amount to be invested in B-rated bonds is $37,500 and the amount to be invested in a certificate of deposit is $22,500.To learn more about interest, visit :
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The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. If a college football player is randomly selected, find the probability that he weighs between 170 and 220 pounds.
Answers
Answer:
\(P(170<X<220)=P(\frac{170-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{220-\mu}{\sigma})=P(\frac{170-200}{50}<Z<\frac{220-200}{50})=P(-0.6<z<0.4)\)
And we can find this probability with this difference:
\(P(-0.6<z<0.4)=P(z<0.4)-P(z<-0.6)=0.655-0.274= 0.381 \)
Step-by-step explanation:
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
\(X \sim N(200,50)\)
Where \(\mu=200\) and \(\sigma=50\)
We want to find the following probability:
\(P(170<X<220)\)
And we can use the z score formula given by:
\(z=\frac{x-\mu}{\sigma}\)
And using this formula we got:
\(P(170<X<220)=P(\frac{170-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{220-\mu}{\sigma})=P(\frac{170-200}{50}<Z<\frac{220-200}{50})=P(-0.6<z<0.4)\)
And we can find this probability with this difference:
\(P(-0.6<z<0.4)=P(z<0.4)-P(z<-0.6)=0.655-0.274= 0.381 \)
An Airplane uses the equation y=0.28x+24 to calculate the fare y, in dollars, for a trip of x miles. What is the fare for 500-mile trip?
Answers
The fare for a 500-mile trip is 164.
What is the fare for a 500-mile trip?The equation provided in the question is known as a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.
The general form of a linear equation is:
y = mx + b
Where:
m = slope b = interceptIn the equation used to calculate the fare, y=0.28x+24, 0.28 is the variable cost and 24 is the fixed cost.
Cost of a 500-mile trip = y=0.28(500) +24
y = 140 + 24
y = 164
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Which expression can you use to find the area of the rectangle? 3 times 6, 4 times 6 ,9 times 4. 4 times 3
Answers
Answer:
9 times 4
Step-by-step explanation:
Answer:
9 x 4.
Step-by-step explanation:
i got it right
What is the IQR for 10, 14, 15, 15, 16, 18, 19, 21
Answers
Answer:
15-18
Step-by-step explanation:
The IQR is the middle 50% of a set of numbers
There are 8 numbers, so its the middle 4
The middle 4 consists of 15,15,16,18
The range is 15-18
1
13. Mark has a board that is 12 feet long. He
cuts the board into 8 pieces that are the
same length. How long is each piece?
pany. Image Credits: (b) Cjupit
Answers
Answer:
1.5 feet
Step-by-step explanation:
12/8 = 1.5 feet
answer to all of this please!!! worth 50 points!!
Answers
A: (x^a) / (x^a) = x^(a - a) = x^0
B: Anything divided by itself is 1, so x^a / x^a = 1.
C: If x^a / x^a = x^0 from Part A and x^a / x^a = 1 from Part B, then x^0 = 1.
Reflect: 1. To complete Part A, we used the quotient rule for exponents.
Hope this helps!
Answer:
Step-by-step explanation:
A
\(\frac{x^{a} }{x^{a} } = x^{a-a} =x^{0}\)
B
Anything divided by itself is 1, so \(\frac{x^{a} }{x^{a} } = 1\)
C
If \(\frac{x^{a} }{x^{a} } = x^{0}\) from part A, and \(\frac{x^{a} }{x^{a} } =1\) from part B, then \(x^{0} = 1\)
Reflect:
Properties of exponents
A musical group performs two concerts. a total of 512 people attend the two concerts. the bar model represents the number of people that attend each concert. which expression models the number of people attending concert 1?
Answers
The expression that models the number of people attending concert 1 is given as follows:
512/6.
How to obtain the number of people attending concert 1?The number of people attending concert 1 is obtained applying the proportions in the context of the problem.
From the bar model, the fractions corresponding to each concert are given as follows:
Concert 1: 1/6.Concert 2: 5/6.The total number of people is given as follows:
512.
Hence the expression that models the number of people attending concert 1 is given as follows:
512/6.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
0.2356, 0.1444
Step-by-step explanation:
Is 100 points even possible?
Here it states that 62% of them go on vacations. If 2 people are selected, each one ( technically ) has a 62/100 chance of going on a vacation. So the chance that one goes on vacation and one doesn't is .62 * .38 or .2356. The chance that none of them go on vacation is 0.38 * 0.38 or 0.1444.
Hope this helps
11) Which of the following is NOT an assumption of Simple Linear Regression?
a. There is constant variance with the residuals
b. The residuals are normally distributed
c. The independent variables are not collinear
d. The values of the residuals are independent of one another.
12) Which of one the following graph types would be best if you wanted to show the number of
occurrences (frequency) of data that are divided into categories?
a. Strip chart
b. Bar graph
c. Box plot
d. Histogram.
13) When standardizing measures of distance what do the Z-values refer to?
a. Units of distance from the mean
b. All P-values contained in the Probability Distribution Table
c. Areas to the right in the histogram
d. The range of data contained in the histogram.
14) In regression analysis if the R2 value is high, this means what?
a. There are other factors that explain or predict the dependent variable that are not
included among the independent variables
b. Y values cannot be predicted based on given X values
c. The model does not fit the data very well
d. None of the above.
15) In an OLS regression model the residual error can be defined as which of the following?
a. The difference between the regression line and the observed X
b. The difference between predicted Y and observed Y
c. The estimated ~1 value
d. The estimate of the regression.
16) If a Moran's I value equals zero this means ...
a. A dispersed pattern
b. There is negative spatial autocorrelation
c. There is no spatial autocorrelation
d. A clustered pattern.
17) A GWR model is "Miss-Specified" if...
a. It has a low Adjusted R2
b. There is randomness (dependence) in the model residuals
c. It has a high Adjusted R2
d. A single variable explains 100% of the geographic phenomena being tested.
18) A "leverage point" in an ordinary least squares regression refers to:
a. An outlier
b. An observation that is similar to its neighbours
c. A point that can influence the regression in a way that reflects the value of most
other points
d. None of the above.
19) A Type I Error means which of the following:
a. Accepting the Null hypothesis
b. Accepting the Null hypothesis incorrectly
c. Rejecting the Null hypothesis incorrectly
d. Rejecting both the Alternative and the Null hypothesis.
20) If points do not align with the diagonal lines in a QQ-Plot this tells us that ...
a. There is skewness in the data
b. The variable has a weak positive correlation
c. The variable is not normally distributed
d. None of the above.
Answers
Answer:
11) c. the independent variables are not col-linear
12) b. Bar graph
13) a. Units of distance from the mean
14) d. None of the above
15) b. The difference between the predicted Y and observed Y
16) c. There is no spatial auto-correlation
17) a. It has a low Adjusted R²
18) c. A point that can influence the regression in a way that reflects the value of most other points
19) c. Rejecting the Null hypothesis incorrectly
20) c. The variable is not normally distributed
Step-by-step explanation:
11) With simple linear regression there is a col linear relationship between the dependent variable and the independent variables
Therefore, the correct option is c. the independent variables are not col linear
12) The bar graph which is also known as a bar chart, is used for the frequencies of data that are categorized
Therefore, the correct option is b. Bar graph
13) The z-value is a measure of the distance from the mean, therefore, the correct option is a. Units of distance from the mean
14) The higher the R² value the increased correlation between the factors of the dependent variable and the independent variable
Therefore, the correct option is d. None of the above
15) In an OLS residual error = Observed value of Y - Predicted value of Y
Therefore, the best option is b. The difference between the predicted Y and observed Y
16) A Moran's I value of zero indicates perfect randomness or no auto-correlation
The correct option is therefore, c. There is no spatial auto-correlation
17) The adjusted R² value increases when the added variable improves the model to the observation correlation more than would be expected by chance alone, therefore, the correct option is a. It has a low Adjusted R²
18) A leverage point is a point that is far from the other points in the observation, therefore, the correct option is c. A point that can influence the regression in a way that reflects the value of most other points
19) A type 1 error occurs when an accurate (statistically acceptable) null hypothesis is rejected therefore, the correct option is c. Rejecting the Null hypothesis incorrectly
20) The Quantile-Quanttile (QQ) plot is a technique used for checking the commonness of the sources of two sets of data, therefore sources of data that are from the source (hence normally distributed) align with the diagonal lines in a QQ-Plot
The correct option is therefore c. The variable is not normally distributed
Find the surface of the rectangular solid
Answers
Answer: 80.28 square feet
Step-by-step explanation:
\(2(6.1\cdot 3+3\cdot 2.4+2.4 \cdot 6.1)=80.28\)
A book has 200 pages. If I have read 1/10 of the part of the book then how much part of the book is left to read.
A) 10
B) 20
C) 180
D) 190
Please give correct answer with explanation.
Answers
Answer:
180 pages
Step-by-step explanation:
200*1/10
= 200/10
= 20 pages
total pages =200
read = 20 pages
left to read =200-20
=180 pages
What is the volume of a box where all sides measure 7 cm ?
Answers
Answer:
V = 343 cm³.
Step-by-step explanation:
Recall that to find the volume of a cube, the formula used would be:
V = s³ ('s' being the side length of the cube)
Therefore, if s = 7, plug that into the equation:
V = 7³
V = 343 cm³.
Ian suffered a loss of 10% when his watch was sold at $90. How much should he have sold his watch if he wanted to make a gain of 20%?
Answers
Explanation:
This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.
Which is the slope of the line in this grape? 5/4 -5/4 -4/5 4/5
Answers
Answer:
6/5
Step-by-step explanation:
the whole equation w would be y=6/5x+2
you can tell this bc that's where the line touches a whole point and it's a positive slope since the line is moving up
Answer:
(4/5)
Step-by-step explanation:
(0, 2) (5, 6)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 6 - 2 4
m = ------------ = ------------ = -------
x₂ - x₁ 5 - 0 5
I hope this helps!
Snacks at the Art Walk are sold in containers shaped like a cone or a cylinder. The dimensions of each container are shown in the drawing. 8.7A) Which statement about the volumes of the cylinder and cone is true? 2 The volume of the cylinder is about 6.28 cubic inches less than the volume of the cone. The volume of the cylinder is about 6.28 cubic Inches greater than the volume of the cone. The volume of a cone is about 6.28 cubic inches oreater than the volume of the D. The volume of the cone is congruent to the volume of the cone.
Answers
In order to compare both volumes we want to find the volume of each figure:
Volume of the cylinderIn order to find its volume we first find the area of its base.
Since its base is a circle, its area is given by
base area = π · r²,
where π and r are numbers:
π is pi and r is the radius of the base.
Since
π = 3.14
and
r = 2 in,
then
base area = 3.14 · (2 in)²
= 3.14 · 4 in²
= 12.56 in²
The volume is the product of the base area by the height of the cylinder:
volume cylinder = base area · height
volume cylinder = π · r² · h
= 12.56 in² · 8 in
= 100.48 in³
Then, the volume of the cylinder is 100.48 in³.
Volume of the coneAs we did before, in order to find its volume we first find the area of its base.
We use the equation
base area = π · r²,
where
π = 3.14
and
r = 3 in.
Then
base area = 3.14 · (3 in)²
base area = 28.26 in²
We multiply the base area by 1/3 the height (10 in) of the cone
cone volume = 1/3 · base area · height
cone volume = 1/3 · π · r² · h
= 1/3 · 28.26 in² · 10 in
= 94.2 in³
Then, the volume of the cone is 94.2 in³.
ComparisonSince the volume of the cylinder is 100.48 in³ and the volume of the cone is 94.2 in³. We observe that the volume of the cylinder is bigger (it takes up more space than the cone).
Since
100.48 in³ - 94.20 in³ = 6.28 in³
Then the volume of the cylinder is 6.28 in³ greater than the cone's volume.
Answer: B
Maria has decided to invest to help with her retirement savings. How much would she have to invest to have $113,400 after 20 years, assuming an interest rate of 3.57% compounded annually?
Do not round any intermediate computations, and round your final answer to the nearest dollar.
Answers
Answer:
$56,226
Step-by-step explanation:
x = investment
Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;
Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;
We can formulate an equation to solve to get the initial investment:
x(1.0357)²⁰ = 113400
(2.01687752)x = 113400
x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎
x = 56225.5263 → 56226
If you were to sketch a circle graph for the data shown in the table below, about what fraction of the circle would represent comedy?
Favorite Types of Movies
Votes
Type
Comedy
45
Adventure
56
Mystery
39
Ο Α. 1
2
11 /
OB. 1
3
0 C
4
O D. 1
Answers
The fraction of the circle that would represent comedy is approximately equal to: B. 1/3.
What is a pie chart?In Mathematics, a pie chart is sometimes referred to as a circle graph and it can be defined as a type of graph that is used for the graphical representation of the proportional relationship between each part to a whole, especially by dividing a circle into various sectors or sections.
Next, we would determine the total number of votes as follows;
Total votes = 45 + 56 + 39
Total votes = 140 votes.
Now, we can calculate the fraction of the circle that would represent comedy by using this mathematical expression;
Fraction of comedy = votes of comedy/total votes
Fraction of comedy = 45/140
Fraction of comedy = 9/28 ≈ 1/3.
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Simplify the following expression:
9x-12+4x+4+10x
Answers
Answer:
15x-8
Step-by-step explanation:
9x-12+4x+4+10x
9x+4x+10x -12+4
15x-8
Answer:
23x-8
Step-by-step explanation:
1. First add the numbers
2. then C.L.K Combine Like Terms
9x-8+4x+10x
23x-8
What is an angle that is adjacent to
CED?
