Answer:
Step-by-step explanation:
These are the first sentences in the short story, "The Gift of the Magi," by O. Henry:
"One dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies."
Model the scenario with an equation. Let q be the number of quarters, d be the number of dimes, and n be the number of nickels.
25 q + 10 d + 5 n + 60 = 1.87
0.25 q + 0.10 d + 0.5 n + 0.60 = 187
q + d + n + 60 = 187
25 q + 10 d + 5 n + 60 = 187
Answer:
25 q + 10 d + 5 n + 60 = 187
Step-by-step explanation:
$1.87 = 1.87 x 100 = 187 cents or 187 pennies
Each quarter is worth 25 pennies so q quarters = 25q pennies
Each dime is worth 10 pennies so d dimes = 10d pennies
Each nickel is worth 5 pennies so n nickels = 5n pennies
so 25q + 10d + 5n + 60 = 187
Ingrid earned a commission of $5,125 on sales of $88,000. What rate of commission was she paid? Round your answer to one decimal place.
Answer: 5.8%
Step-by-step explanation: .
Rewrite:
42/5% as a decimal.
Answer:
42/5% as a decimal is 8.4
In Tacoma, the tax on a property assessed at $330,000 is $4,950. If the tax rates in San Francisco are proportional to Tacoma, how much would the tax be on a property assessed at $860,000?
The tax on a property in San Francisco with an assessed value of $860,000 will be $
In San Francisco, the tax on a property with a $860,000 assessed value is $12900.
In Tacoma, the tax on a property assessed at $330,000 is $4,950.
The tax rates are proportional to this city.
Now, to find the tax on a property assessed at $860,000.
So, we need to determine the tax rate of Tacoma first.
Tax Rate = Tax / Property assessed × 100.
[tex]Tax {~}rate = \frac{4950}{330000} \times 100[/tex]
Tax rate = 0.015 × 100
Tax rate = 1.5%
From the question, the tax rates are proportional.
Now, we apply the same tax rate as Tacoma in this city:
Tax = tax rate of property assessed.
Tax = 1.5% of $860,000
[tex]Tax=\frac{1.5}{100} \times 860000[/tex]
Tax = 1.5 × 8600
Tax = $12900
Therefore, the tax on property in San Francisco assessed at $860,000 is $12900.
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Use the properties to rewrite logarithm expressions as a single logarithm
log subscript 4 7 plus space log subscript 4 10
The logarithm expression as a single logarithm is log 4 70.
Logarithm expression of Log 4 7 + log 4 10 = log 4 70.
Log 4 7 + log 4 10
The properties of logarithm is product rule.
Log 4 7 + log 4 10 = Log 4 7 * 10
= log 4 70
It should be noted that logarithm, is the exponent or power to which a base must be raised to get a given number.
We can apply the quotient rule to find the differentiation of a function.
In this case, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.
Hence, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.
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There are 10 girls and 20 boys in a class.
The class has a test.
The mean mark for all the class is 70
The mean mark for all the boys is 62
Work out the mean mark for the girls.
Answer:
the mean mark for girls is 86
Step-by-step explanation:
62x20+10xX=70*(10+20)
help
show all steps please
Answer: h=9 inches
Step-by-step explanation:
[tex]7.\\a.\\\displaystyle\\A=\frac{1}{2}bh \\[/tex]
Multiply both parts of the equation by 2:
[tex]2A=bh[/tex]
Divide both parts of the equation by b (b≠0):
[tex]\displaystyle\\\frac{2A}{b} =h\\\\Thus,\\\\ h=\frac{2A}{b}[/tex]
[tex]\displaystyle\\b.\\\\A=54\ in.^2\ \ \ \ b=12\ in.\\\\h=\frac{2*54}{12} \\\\h=\frac{2*54}{2*6} \\\\h=\frac{54}{6} \\\\h=9 \ in.[/tex]
n recent years, shopping malls have become a favorite site for companies to test consumers’ responses to new products through interviews. These interviews, called “mall intercepts,” have largely replaced door-to-door interviewing because they are relatively quick and inexpensive. Research has shown that 95% of American households shop at malls at least once a year and that two-thirds shop at malls at least once every 2 weeks. (a) Can consumers interviewed in this manner be considered a random sample of the population as a whole? Explain. (b) Is the sample a random sample of people who go to malls? Explain. (c) What about just for people who go to that mall? Explain. \
A. The consumers interviewed in this manner can be considered a random sample of the population as a whole.
B. The sample is a random sample of people who go to malls.
C. It should be noted that the sample applies for just for people who go to that mall.
How to illustrate the information?It should be noted that in a random sample, everyone has an equal chance of being selected.
In this case, the consumers interviewed in this manner can be considered a random sample of the population as a whole. Here, everyone had an equal chance of being picked.
In this case, the sample is a random sample of people who go to malls.
It should be noted that 95% of American households shop at malls at least once a year and that two-thirds shop at malls at least once every 2 weeks. This will give the random sample of the people.
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Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. if the reception hall charges a $80 clean-up fee plus $37 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
The maximum number of people that can be invited is 65.
Step-by-step explanation:
Based on the information given in the question, the equation to solve the question will be:
80 + 37x = 2500
80+37x=2500
Step 1: Simplify both sides of the equation.
37x+80=2500
Step 2: Subtract 80 from both sides.
37x+80−80=2500−80
37x=2420
Step 3: Divide both sides by 37.
37x/37 = 2420/37
x= 2420/37
x = 65.4
x ≈ 65
Question 5
Consider the following regression equation on number of sales based on phone calls made by a seller:
No. of Sales 18.9476+ 1.1842Xphone_calls
If an agent calls 20 clients, how much sales can be expected?
The no. of sales made by the agent if he calls 20 clients is 43.
What are linear equation in one variables?The basic equation used to represent and solve for an unknown quantity is a linear equation in one variable. It is always a straight line and can be represented graphically. A linear equation is a straightforward way of representing a mathematical statement. Unknown quantities can be represented by any variable or symbol, but in most cases, in a linear equation with one variable, a variable 'x' is used to represent the unknown quantity.
No. of sales =18.9476+1.1842x
Here x = no. of phone calls
The agent calls 20 client.
So, x = 20
Put x = 20 in the given no. of sales. equation
No. of sales = 18.9476 + (1.1842)(20)
No. of sales = 18.9476+23.684
No. of sales = 42.6316
Since the number of sales can't be in decimal numbers, so we will round off the given no. of sales.
Therefore, the no. of sales = 43
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123 people went to a movie, both adults and children. If twice as many children went as adults how many of each were there?
Answer:
41 adults and 82 kids
Step-by-step explanation:
divide 123 by 3 two parts are kids one part is adults.
Order each set of numbers from least to greatest.
√200,14,41/3
Answer:
3/14,41,200√ least to greatest
A company mixes two types of lawn seed.
Britegreen grass seed costs £18 per kilogram.
Grassgreen grass seed costs £21 per kilogram.
The company mixes the seed in the ratio Britegreen: Grassgreen = 2:3.
a How much Grassgreen will the company need to mix with 15 kg of Britegreen?
The Grassgreen required by the company to mix with 15 kg of Britegreen is 22.5 kg.
What is termed as the ratio?The ratio has been defined as a comparison of two amounts of the same unit to determine that much of one amount is present in the other. Ratios are divided into two types. The first is a part-to-part ratio, and the second is a part-to-whole ratio.The price of Britegreen grass seed = £18 per kilogram.
The price of Grassgreen grass seed = £21 per kilogram.
Let the weight of Grassgreen mixed be 'x'.
The weight of Britegreen mixed be 'y' = 15 Kg.
The ratio of of the weight s given as Britegreen: Grassgreen = 2:3.
Thus,
y/x = 2/3
Cross multiplying;
3y = 2x
Or,
x = 3y/2
Put y = 15
x = (3×15)/2
x = 22.5
The the weight of the Grassgreen be mixed with the 15 kg of Britegreen is 22.5 kg.
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Can anyone answer this question please
Answer:
30/5
15/5
-15/5
-10/5
Step-by-step explanation:
The probability that an event will happen is P(E)= 20/31 Find the probability that the event will not happen.
The probability that the event will not happen is
(Type an integer or a simplified fraction.)
[/tex]P(E)+P(E')=1 \\
P(E')=1-P(E)\\
where E and E' are opposite events
[tex]
P(E')=1-P(E) \\ P(E')=1- \frac{20}{31} \\ P(E')= \frac{31 - 20}{31} \\ P(E')= \frac{11}{31} \approx0.3548[/tex]
how would bivariate data be displayed?
The way that bivariate data would be displayed is through analysis of them visually by the use of scatterplots.
What format does bivariate data often take?A scatter plot is one that is typically used to show the bivariate data. Here, the y-axis is said to be plotted against the x-axis and this is one that is often done a grid of paper to show or depict the relationship between the provided data sets.
The act of Comparing the two sets of data or knowing a correlation between the two variables is the main goal of bivariate data.
Therefore, the use of scatterplot is the best way to graphically show bivariate data.
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Please answer I need this grade also I have more like these feel free to answer my other questions
Based on the graph of the function shown, we can logically deduce the following:
The domain of this graph is equal to (-1, 4).The range of this graph is equal to (-2, 3).The function which this graph represents is a discrete function.How to identify the range and domain of this graph?The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
Similarly, the horizontal extent of a graph represents all domain values and they are also read and written from smaller to larger numerical values, and from the left of the graph to the right.
By critically observing the graph of the discrete function shown, we can infer and logically deduce the following:
Domain = (-1, 4).Range = (-2, 3).In conclusion, the function which this graph represents is a discrete function because both the domain and range have discrete set of values, rather than intervals.
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Select the correct numeral form of this number written in scientific notation.5.0 × 10 10
5,000,000,000
50,000,000,000
0.000 000 000 5
500,000,000,000
Kadeesha spends a winter day recording the temperature once every three hours for
science class. At 9 am, the temperature was -6.9°F. Between 9am and noon, the
temperature increased by 5.4°F. Between noon and 3pm, the temperature increased
by 7.2°F. Between 3pm and 6pm, the temperature dropped 15.5°F. What was the
temperature at 6pm?
By using basic arithematic operations we concluded that the temperature at 6 pm was - 9.8°F.
What are fundamental arithematic operations?Arithmetic operation is the study of numbers and the operations on numbers that are used in all other branches of mathematics. It primarily consists of basic operations like addition, subtraction, multiplication, and division.
The temperature at 09:00 am = -6.9°F.
The tempertaure increased by 5.4°F till noon
So, the final tempertaure at noon = - 6.9°F + 5.4°F
= - 1.5°F
Then, again the temperature increased by 7.2°F from noon till 3 pm.
So, the final tempertaure at 3 pm = - 1.5°F + 7.2°F
= 5.7°F
Then, again the temperature by dropped 15.5°F from 3 pm to 6 pm.
So, the final tempertaure at 6 pm = 5.7°F - 15.5°F
= - 9.8°F
Therefore the temperature at 6 pm was - 9.8°F.
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If the New York is 3,000 miles from the Bay area, and a car you are road tripping in can travel
500 miles a day, how many days will it take to reach New York?
Answer:
Step-by-step explanation:
3,000 divided by the 500 is 6. It would take 6 days.
When you come across problems like this usually the best way to answer them is d (distance) divided by s (speed, miles per day, miles per hour, miles per second, etc.).
Which expression shows how 5 +25 can be written using the distributive property?
5 (1 + 5)
5 x 5
25 +5
15 (3 + 10)
I WILL GIVE BRAINLEY
Answer:
5 (1 + 5)
Step-by-step explanation:
It would be this because the 5 would distribute itself multiplying into the 1 and other 5 equaling 5 + 25 and it is in the distributive property.
12,983+z=21,137 can you please help me with the question!?
Sarah only had $12.75 left after buying a new pair of shoes. Identify the dependent variable.
Answer:
the shoes
Step-by-step explanation:
the shoes never changed, and the amount money sarah has remaining will depend on the shoes.
Find the measure of the missing angle.
Answer:
88
Step-by-step explanation: The measure of the exterior angle is equal to the sum (adding together) of the interior angles. 42+46=88.
What is the rate of acceleration for a skateboarder going down a hill starting 10 m/s to 40 m/s in 15 seconds?
The rate of acceleration of the skateboarder is 2m/s²
What is acceleration ?Acceleration can be described as the speed of an object during a period of time
The formula is
v= u + at
v= 40m/s
u= 10m/s
time= 15 seconds
40 = 10 + 15a
40-10= 15a
30= 15a
a= 30/15
a= 2
Hence the rate of acceleration of the skateboarder is 2m/s²
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lesson 6.4NEED HELP!!!!!!
Graph the image of the figure using the transformation given.
last 3 pics are the options to choose from .
Answer: Option 1
Step-by-step explanation:
We need to multiply each coordinate by 3/2.
A store is having a sale on walnuts and chocolate chips. For 4 pounds of walnuts and 8 pounds of chocolate chips, the total cost is 21$. For 2 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $9. Find the cost for each pound of walnuts and each pound of chocolate chips.
The cost for each pound of walnuts is $ 2.25 and each pound of chocolate chips is $ 1.5.
We are given that:
Cost of 4 pounds of walnuts and 8 pounds of chocolate chips = $ 21.
Cost of 2 pounds of walnuts and 3 pounds of chocolate chips = $ 9.
Let the cost of pounds of walnuts be x and the cost of pounds of chocolate chips be y.
So, we get the following equations:
4 x + 8 y = 21 …(1)
2 x + 3 y = 9
2 x = 9 - 3 y
x = 1 / 2 (9 - 3y) …(2)
Put the value of x in (1)
4 ( 1 / 2 (9 - 3y) ) + 8 y = 21
2(9 - 3y) + 8 y = 21
18 - 6 y + 8 y = 21
2 y + 18 = 21
2 y = 21 - 18
2 y = 3
y = 3 / 2
y = 1.5
x = 1 / 2 (9 - 3y)
x = 1 / 2 ( 9 - 4.5)
x = 1 / 2 ( 4.5)
x = 2.25
Therefore, we get that, the cost for each pound of walnuts is $ 2.25 and each pound of chocolate chips is $ 1.5.
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Represent the number 41,685 on the place value chart below.
Answer: The answer is in the picture!
Step-by-step explanation:
11. PARKS The Hillsborough State Park in Thonotosassa, Florida, charges an admission fee of $4 plus a camping fee
of $20 per night. This can be represented by the function f(x)=20x +4, where f(x) is the total cost and x is the
number of nights spent camping. What is the value of f(5), which is the cost of 5 nights camping?
A. 80
B. 100
C. 104
D. 120
The cost of staying at Hillsborough State Park in Thonotosassa, Florida, for 5 nights is 104 dollars.
What is a function ?A function can be thought of as an output for the given set of inputs.
According to the given question PARKS The Hillsborough State Park in Thonotosassa, Florida, charges an admission fee of $4 plus a camping fee of $20 per night.
This can be represented by the function f(x)=20x +4, where f(x) is the total cost and x is the number of nights spent camping.
∴ The cost of staying for 5 nights we can determine by putting x = 5 in f(x).
So, f(5) = 20(5) + 4.
f(5) = 100 + 4.
f(5) = 104 dollars.
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8. William gave the cashier $20, for 3 hamburgers. The cashier gave him back $4.70. Each hamburger cost the same amount. What was the cost of each hamburger in dollar and cents?
Please help me!!