Mrs. Barker bought some books at a book sale, including 4 paperback books. 20% of all the books she bought were paperback. How many books did Mrs. Barker buy in all?
Answers
Answer:
20
Step-by-step explanation:
Number of paperback books = 4
Percentage of total books that were paperbacks = 20%
Let total number of books = x
Hence,
20% of total books = paperback books
20% of x = 4
0.2 * x = 4
0.2x = 4
0.2x / 0.2 = 4 / 0.2
x = 20
Total number of books = 20
Related Questions
The area of undeveloped land in a suburban town is decreasing at a rate of 17.3% annually. in 2016, there were 3,400 acres of undeveloped land. if t represents the number of years since 2016, which equation can be used to determine after how many years the town will have 900 acres of undeveloped land remaining?
Answers
Based on the rate of decrease and the acres of undeveloped land, the equation to determine the number of years till 900 acres is remaining is B)900 = 3,400(0.827)^t.
Which equation shows the number of years till 900 acres are remaining?As 900 acres is the target number of acres to remain, this will be on the left side of the equation as the y value.
The right side of the equation would be:
= Current number of acres remaining x ( 1 - rate of decrease) ^ number of years
= 3,400 x ( 1 - 17.3%) ^ number of years
Putting them together:
900 = 3,400(0.827)^t.
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8. Hannah ordered books for her son from an online retailer. Each book costs $7.00, and there is a shipping fee of $5.00 for the entire order. a. Define the variables, and write an equation to represent the problem situation. b: c: Equation: b. Suppose Hannah spent a total of $61.00 on her order, including the shipping fee. How many books did Hannah order for her son? Hannah ordered books for her son.
Answers
Answer:
b- number of books
t- total spent
b7+5=t
she ordered 8 books
Step-by-step explanation:
$61 minus the $5 shipping fee = $56
$56 divided by $7 (the cost of each book) is 8
7b+5=61
-5 -5
7b = 56
-------------
7b
b= 8
so she bought 8 books
Next Londell needs a total of $400 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Londell have to deliver papers to have enough money to buy the bicycle?
Answers
Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.
Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.
To calculate the number of weeks Londell needs to work, we can set up an equation:
$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)
Simplifying the equation:
$40 + $15 = $400
Subtracting $40 from both sides of the equation:
$15 = $400 - $40
$15 = $360
Dividing both sides of the equation by $15:
= $360 / $15
≈ 24
Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.
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a. List all the factors of 42 in ascending order:
b: List all the factors of 77 in ascending order:
c.List all the factors that are common to both 42 and 77:
d. List the greatest common factor of 42 and 77:
e: Fill in the blank: GCF(42,77) For parts
a.= and enter your answers as lists separated by commas and surrounded by parentheses_ For example the factors of 26 are (1,2,13,26).
Now prime factor 42 Enter your answers as lists separated by commas and surrounded by parentheses. Include duplicates.
Next, move every factor they have in common under the line_ Above the line write the lists that have not bccn movcd and bclow thc Iinc writc thc Uists that havc bccn movcd_ 42: 77: Enter your answers as lists separated by commas and surrounded by parentheses. Include duplicates. there are no numbers in your list, enter "DNE Finally , find the greatest common factor by multiplying what is below either of the two lines:
Answers
Step-by-step explanation:
you need the factors, or the prime factors ? or both ?
it is not clear what you need, I will try to give you a much as possible for this topic, abd you will need to pick from there what you need.
it seems clear that we are dealing with 42 and 77.
let's start with prime factorization. you know what prime numbers are ? numbers that can only be divided without remainder by 1 and by itself. we always start with the smallest prime factor (2) and then work our way up until we get 1 as result :
42 ÷ 2 = 21
21 ÷ 2 no
21 ÷ 3 = 7
7 ÷ 3 no
7 ÷ 5 no
7 ÷ 7 = 1
finished
77 ÷ 2 no
77 ÷ 3 no
77 ÷ 5 no
77 ÷ 7 = 11
11 ÷ 7 no
11 ÷ 11 = 1
finished
so,
42 = 2×3×7
prime factors (2, 3, 7)
the factors are the prime factors and all possible combinations plus 1 and the number itself :
2×3 = 6
2×7 = 14
3×7 = 21
factors are (1, 2, 3, 6, 7, 14, 21, 42)
77 = 7×11
prime factors (7, 11)
there are no additional combinations.
factors are (1, 7, 11, 77)
the GCF is the product of the longest chains of prime factors they have in common.
the only prime factor chain 42 and 77 have in common is one time 7.
GCF (42, 77) = 7
FYI : there is also a thing called the smallest of least common multiple LCM. this is the smallest possible number that can be divided by both numbers without remainder.
it is the product of the longest chains of all prime factors in both numbers.
so, we have
LCM (42, 77) = 2×3×7×11 = 462
This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?
Answers
Complete question is;
In a hydraulic system, a 100-newton force is applied to a small piston with an area of 0.0020 m².
This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?
Answer:
A2 = 1 m²
Step-by-step explanation:
Using Pascal's Law which is here applied to mechanical advantage of a hydraulic piston, we can find the area of the large piston from;
F1/A1 = F2/A2
We are given;
Force of small piston: F1 = 100 N
Area of small piston; A1 = 0.0020 m²
Force of small piston: F2 = 50000 N
Thus;
Making A2 the subject, we have;
A2 = (F2/F1)A1
A2 = (50000/100) × 0.0020
A2 = 1 m²
A production line is equipped with two quality control check points that tests all items on the line. At check point =1, 10% of all items failed the test. At check point =2, 12% of all items failed the test. We also know that 3% of all items failed both tests. A. If an item failed at check point #1, what is the probability that it also failed at check point #22 B. If an item failed at check point #2, what is the probability that it also failed at check point =12 C. What is the probability that an item failed at check point #1 or at check point #2? D. What is the probability that an item failed at neither of the check points ?
Answers
The probabilities as follows:
A. P(F2|F1) = 0.3 (30%)
B. P(F1|F2) = 0.25 (25%)
C. P(F1 or F2) = 0.19 (19%)
D. P(not F1 and not F2) = 0.81 (81%)
To solve this problem, we can use the concept of conditional probability and the principle of inclusion-exclusion.
Given:
P(F1) = 0.10 (Probability of failing at Check Point 1)
P(F2) = 0.12 (Probability of failing at Check Point 2)
P(F1 and F2) = 0.03 (Probability of failing at both Check Point 1 and Check Point 2)
A. To find the probability that an item failed at Check Point 1 and also failed at Check Point 2 (F2|F1), we use the formula for conditional probability:
P(F2|F1) = P(F1 and F2) / P(F1)
Substituting the given values:
P(F2|F1) = 0.03 / 0.10
P(F2|F1) = 0.3
Therefore, the probability that an item failed at Check Point 1 and also failed at Check Point 2 is 0.3 or 30%.
B. To find the probability that an item failed at Check Point 2 given that it failed at Check Point 1 (F1|F2), we use the same formula:
P(F1|F2) = P(F1 and F2) / P(F2)
Substituting the given values:
P(F1|F2) = 0.03 / 0.12
P(F1|F2) = 0.25
Therefore, the probability that an item failed at Check Point 2 and also failed at Check Point 1 is 0.25 or 25%.
C. To find the probability that an item failed at either Check Point 1 or Check Point 2 (F1 or F2), we can use the principle of inclusion-exclusion:
P(F1 or F2) = P(F1) + P(F2) - P(F1 and F2)
Substituting the given values:
P(F1 or F2) =\(0.10 + 0.12 - 0.03\)
P(F1 or F2) = 0.19
Therefore, the probability that an item failed at either Check Point 1 or Check Point 2 is 0.19 or 19%.
D. To find the probability that an item failed at neither of the check points (not F1 and not F2), we can subtract the probability of failing from 1:
P(not F1 and not F2) = 1 - P(F1 or F2)
Substituting the previously calculated value:
P(not F1 and not F2) = 1 - 0.19
P(not F1 and not F2) = 0.81
Therefore, the probability that an item failed at neither Check Point 1 nor Check Point 2 is 0.81 or 81%.
In conclusion, we have calculated the probabilities as follows:
A. P(F2|F1) = 0.3 (30%)
B. P(F1|F2) = 0.25 (25%)
C. P(F1 or F2) = 0.19 (19%)
D. P(not F1 and not F2) = 0.81 (81%)
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The scores on a certain standardized test follow a normal distribution. The mean score is 76, and the standard deviation is 8.
Find the percentage of test scores that are greater than 90. Round to the nearest percent and type your numerical answer below.
Answers
About 4.01% of the test scores in the normal distribution that are greater than 90
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
Z score is given by:
z = (raw score - mean) / standard deviation
Given that mean score is 76, and the standard deviation is 8.
For x > 90:
z = (90 - 76) / 8 = 1.75
P(z > 1.75) = 1 - P(z < 1.75) = 1 - 0.9599 = 0.0401
About 4.01% of the test scores in the normal distribution that are greater than 90
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Please help me out!
Use the table. Write an equation for number of subscribers Jayden has during any given month. Use m to represent the number of months and j to represent number of subscribers. I don't know if this will help but he's also trying to get to 1000 subs. along with his friend Keiko.
I said it was J=8m+48 but that's probably very wrong..
Answers
Answer:
j = 8m + 48 is correct
Step-by-step explanation:
You see that the y-intercept where x is equal to is 48, and after one month it increases by 8, so we have j = 8m + 48. You were correct
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
Determine P(not yellow) if the spinner is spun once.
75%
37.5%
25%
12.5%
Answers
The probability of the spinner is P(not yellow) = 37.5%.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
If the spinner is spun once, the probability of not landing on yellow (sections 2 and 3) is equal to the probability of landing on purple (sections 1 and 8), blue (sections 4, 5, and 6), or orange (section 7).
The total probability of these sections is 1- (2/8) = 1-(1/4) = 3/4.
So P(not yellow) = 3/4 = 37.5%.
Hence, the probability of the spinner is P(not yellow) = 37.5%.
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What is the change in the breaking weight of the pennies, for each increase in one unit of the length of the bridge?
Answers
The change in the breaking weight of the pennies for each increase in one unit of the length of the bridge is dependent on several factors.
These factors include the material and design of the bridge, the weight and distribution of the load on the bridge, and the strength and composition of the pennies themselves.
For example, if the bridge is made of a strong, sturdy material like steel, and the load on the bridge is evenly distributed, then the breaking weight of the pennies may not change significantly with each increase in one unit of the length of the bridge. However, if the bridge is made of a weaker material or has an uneven distribution of weight, then the breaking weight of the pennies may decrease with each increase in one unit of the length of the bridge.
Additionally, the strength and composition of the pennies themselves can also impact the change in breaking weight. If the pennies are made of a weaker material, they may break more easily, resulting in a larger decrease in breaking weight with each increase in one unit of the length of the bridge.
In summary, the change in breaking weight of the pennies for each increase in one unit of the length of the bridge is dependent on several factors, including the material and design of the bridge, the weight and distribution of the load on the bridge, and the strength and composition of the pennies themselves.
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Do the ratios 11 14 and 1 2 form a proportion?
Answers
Answer:No
Step-by-step explanation:
Cross multiply
11x2=22; 14x1=14
14 and 22 are not equal, Thus it does not form a proportion.
Cuánto es -a +28 =14
Answers
a = -14
-14+28= 14
14 x 2 = 28
1/2 of -28 --> -14
This means a equals -14.
Esto significa A=-14
(sorry my spanish is not good, hope this helps)
solve for n (look at attachment)
Answers
Which expressions are equivalent to
5
12
⋅
5
8
Answers
Answer: is (5^5)^4
Step-by-step explanation:
im inmiddle school but someone already answered this question befor trust me
Calculate the population
data set;
mean for the following
40, 50, 55, 78,58,60,73, 35, 43, 48.
Answers
Answer:
I think it’s 11.8
Step-by-step explanation:
Every year a man is paid $500 more than the previous year. If he receives $17800 over four years, what was he paid in the first year
Answers
The amount paid to the man in the first year given the total he received in four years is $3,700.
EquationAmount paid in the first year = xAmount paid in the second year = (x + 500)Amount paid in the third year = x + 500 + 500= (x + 1000)
Amount paid in the fourth year = x + 500 + 500 + 500= (x + 1500)
Total payment = $17800Total payment = first year + second year + third year + fourth year
x + (x + 500) + (x + 1000) + (x + 1500) = 17,800
open parenthesisx + x + 500 + x + 1000 + x + 1500 = 17800
collect like terms4x + 3000 = 17,800
4x = 17,800 - 3000
4x = 14,800
divide both sides by 4x = 14,800/4
x = $3,700
Therefore, $3,700 was paid to the man in the first year.
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what is the value of √121 + ∛125
Answers
Answer:
16
Step-by-step explanation:
11 x 11 = 121
5 x 5 x 5 = 125
11+5 = 16
Find the product. (a-6)^2=
Answers
Answer:
a^2-12a+36
Step-by-step explanation:
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The graph of a polynomial function continues down on the left and continues up on the right. Which of the following must be true about this polynomial function?
a The function is even, with a positive leading coefficient. b The function is odd, with a positive leading coefficient. c The function is even, with a negative leading coefficient. d The function is odd, with a negative leading coefficient.
Answers
Answer:
The given information that the graph of a polynomial function continues down on the left and continues up on the right is an indication that the degree of the polynomial is odd.
If the degree of the polynomial is odd, then the leading coefficient must be either positive or negative depending on the end behavior of the graph.
Since the graph continues down on the left and up on the right, the end behavior indicates that the leading coefficient is negative.
Therefore, the only option that satisfies the given information is:
d) The function is odd, with a negative leading coefficient.
What is the value of x?
Enter your answer in the box.
X =
Answers
Answer:
x=54
Step-by-step explanation:
2x + 2 = 3x - 52
subtract 2x from both sides, now u have:
2 = x - 52
add 52 from both sides, now u have
54 = x
Answer:
X=54
Step-by-step explanation:
I got it right on the test :)
A charity organization had a fundraiser where each ticket was sold for a fixed price. After selling 200 tickets, they had a net profit of $12,000.
They had to sell a few tickets just to cover necessary production costs of $1,200.
Let y represent the net profit (in dollars) when they have sold x tickets.
Which of the following could be the graph of the relationship?
Answers
Answer:
Step-by-step explanation:
y = 66x - 1200
The charity organisation has to sell a number of tickets to cover their production costs of $1,200. It is given that after selling 200 tickets they retain a net profit of $12,000. Net profit is deduced as: Total sales - total costs. Sales is calculated as total tickets x selling price per ticket.
If we let b represent the sales earned from selling tickets, then:
Net profit = total sales - total costs
12,000 = 200b - 1,200
We can then solve for b by taking the 1200 to the other side of the equal sign. When we do that the sign of that number changes. This is also the same as adding 1200 to both sides of the equal sign:
∴12000 + 1200 = 200b
13200 = 200b
To get the price of one single ticket, b, we need to divide both sides by 200.
∴ b = 66
This means that each ticket's selling price is $66.
So when when we take it back to the calculation of net profit then it becomes:
Net profit = total sales - total costs
y = 66x - 1200
To test:
y = 66x - 1200
= 66 (200 tickets) - 1200
= $12,000
denise measured a community college and made a scale drawing. in real life, a building at the college is 122 meters long. it is 183 centimeters long in the drawing. what scale did denise use?
Answers
The scale Denise used is as follows:
3 centimetres: 2 metres
How to find the scale of a drawing?Denise measured a community college and made a scale drawing. In real life, at the college is 122 meters long. it is 183 centimetres long in the drawing.
The scale of Denise use can be calculated as follows:
Using the proportional relationship,
3 / x = 183 / 122
cross multiply
122(3) = 183x
366 = 183x
divide both sides by 183
x = 366 / 183
x = 2 metres.
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Multiply
(9w + 1) (9w-1)
Answers
Answer:
81w^2 - 1
Step-by-step explanation:
81w^2 - 9w + 9w - 1
81w^2 - 1
Consider a graph of the equation y = −3x + 4. What is the y-intercept? 4 −4 3 −3
Answers
Answer:
The y-intercept is 4
Step-by-step explanation:
in y=mx+b, the b will always be your y-intercept
Place commas in the number 4978.
Answers
Answer:
4,978 because after 3 digits you have to put a coma
Answer:
4,978
Step-by-step explanation:
What is the value of x? Use an informal argument to justify your answer *
Answers
Answer:
68°+47°+ x = 180°
115°+ x = 180°
115°-115°+x = 180°-115°
x = 65°
hope it's helpful ❤❤❤❤
THANK YOU.
CAN SOMEONE PLEASE HELP ME WITH THIS!! IMAGE BELOW
ILL GIVE YOU BRAINLIST ANSWER
Answers
If it takes an airplane 3 hours to fly 3600 miles, how long will it take to fly
5400 miles. Use a decimal for your answer rounded to the nearest tenth.
Answers
The number of hours it will take the airplane to fly the given distance would be = 4.5 hours
How to calculate the number of hours that can be used for the distance?To calculate the number of hours that can be used for the distance, the following needs to be done. That is;
The number of hours it take to complete 3600 miles = 3 hours
Therefore the number of hours it will take to complete 5400miles = X hours.
That is;
3600 miles = 3 hours
5400 miles = X hours
make X the subject of formula;
X = 5400×3/3600
= 16,200/3600
= 4.5 hours.
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Flashlight problem: you shine a flashlight, making a circular spot of light on the wall with radius 5cm. As you back away from the wall, the radius increases at the rate of 7 cm/s. Find the radius at times 4s and 7s after you start backing away.
Answers
It is given that the radius increases at the rate of 7 cm per second, that is 7 cm in 1s.
It follows that after 4s since backing away, the increase in radius is:
\(7\times4=28\text{ cm}\)Add the increase to the initial length of the radius:
\(28+5=33\text{ cm}\)Hence, the radius 4s after you start backing away is 33 cm.
After 7s, the increase in radius will be:
\(7\times7=49\text{ cm}\)Add this increase to the initial length of the radius:
\(49+5=54\text{ cm}\)Hence, the radius 7s after you start backing away is 54 cm.
the probability that house sales will increase in the next 6 months is estimated to be .25. the probability that the cost of lawn care will go up in the next 6 months is estimated to be .74. what is the probability that house sales will increase and the cost of lawn care will go up in the next 6 months (assuming these events are independent)? .74 x .25
Answers
The probability hat house sales will increase and cost of lawn care will go up in the next 6 months is 0.185.
We know that if A and B are independent events then the probability i.e.
P(A and B) = P(A)*P(B)
Now let A be the event that house sales will go up in next 6 months.
Given P(A) = 0.25
and B be the event that the cost of lawn care will go up in the next 6 months.
Given, P(B) = 0.74
Since A and B are independent event.
Thus the probability that house sales will increase and cost of lawn care will go up in the next 6 months is,
P(A and B) = P(A)*P(B) = 0.25*0.74 = 0.185
Hence the probability hat house sales will increase and cost of lawn care will go up in the next 6 months is 0.185.
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