There are 318 fiction books in the class library.the number of nonfiction books is 47 less than the number of fiction books about how many nonfiction books are there in the class library?explain
Answer:
271 books
Step-by-step explanation:
Given: There are 318 fiction books in the class library.the number of nonfiction books is 47 less than the number of fiction books.
To find: About how many nonfiction books are there in the class library
Solution: It is given that 318 fiction books in the class library.
Also it is given that the number of nonfiction books is 47 less than the number of fiction books.
Let us assume that there are x nonfiction books,
So, we have
[tex]x=318-47[/tex]
[tex]x=271[/tex]
Hence, the number of nonfiction books is 271.
given the inequality 3(x - 4)>bx, for what value of "b" are there no solutions?
An investment of $750 earns 3.3% Interest compounded monthly. What is the equation that modelsThe value of investment
Final answer:
To find the value of an investment with monthly compound interest, you use the formula [tex]A = P(1 + r/n)^{nt}[/tex]. For a $750 investment at a 3.3% interest rate compounded monthly, the equation is [tex]A = $750(1 + 0.033/12)^{12t}[/tex]. The formula accounts for principal, interest rate, compounding frequency, and number of years.
Explanation:
To model the value of the investment with compound interest, we use the compound interest formula:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Where,
So for an investment of $750 at a 3.3% interest rate compounded monthly, the equation would be:
[tex]A = 750(1 + \frac{0.033}{12})^{12t}[/tex]
This equation can be used to calculate the value of the investment after t years. Monthly compounding means that the interest is calculated and added to the account balance 12 times a year.
an angle measures 16 degrees less than three times its supplement find the measure of the angle
Write the following equation in slope intercept form. y – 3 = -2 (x -5)
Anthony is making a collage for his art class by picking shapes randomly. He has five squares, two triangles, two ovals, and four circles. Find P(a square is not chosen first).
PLEASE HELP!
15 POINTS
Answer:
C) P = [tex]\frac{8}{13}[/tex]
Step-by-step explanation:
Square: 5
Triangle: 2
Ovals: 2
Circles: 4
Using formula of probability:
Probability = [tex]\frac{Favourable Outcomes}{Total Outcomes}[/tex] ----- 1
Total Outcomes: 5 + 2 + 2 + 4 = 13
Favourable Outcomes: 2 + 2 + 4 = 8 (Excluding 5 squares)
A sqaure is not chosen first, which means that any shape of the rest of 8 shapes can be chosen
so eq 1 becomes
P = [tex]\frac{8}{13}[/tex]
A line contains the points (−26, −37) and (−32, −61) .
What is the slope of the line in simplified form?
Enter your answer in the box.
Answer:
The slope of the line containing the points (-26,-37) and (-32,-61) is 4
Step-by-step explanation:
Given:
Two points of the line (-26,-37) and (-32,-61)
To find:
Slope(m) of the line =?
Solution:
The Equation of slope of two points is
[tex]Slope m=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
Let (-26,-37) be[tex](x_1,y_1)[/tex]
and (-32,-61) be [tex](x_2,y_2)[/tex]
Now substituting the values ,
[tex]m=\frac{(-61+37)}{(-32+26)}[/tex]
[tex]m=\frac{-24}{-6}[/tex]
m=4
Thus the slope of the line is 4
Someone help me please.
HELP ME PLEASE!!!!!!
what do you notice about the slopes of opposite sides
Find (3 × 10^4) + (7 × 10^2).
A) 3.07 × 10^2
B) 3.07 × 10^4
C) 3.70 × 10^2
D) 3.70 × 10^4
I need a correct answer please
what is the scientific notation of 97,700,000,000,000,000,000
A shop sells three types of boots sales are usually in the ratio of 6:2:3 last month 24 football boots were sold how many boots altogether were sold last month
Answer:
44 boots were sold last month. Not 22.
Step-by-step explanation:
x = football boots
y = rugby boots
z = hiking boots
Now we write the equations:
(x / y) = 6/2
(y / z) = 2/3
For x = 24 we have:
(24 / y) = 6/2
(24 / y) = 3
y = 24/3
y = 8
On the other hand:
(y / z) = 2/3
(8 / z) = 2/3
(8) * (3/2) = z
z = 12
So, the sum is:
x + y + z = 24 + 8 + 12 = 44
A giraffe can run up to 46.93 feet per second. How far could a giraffe run in 1.8 seconds? Justify your answer.
a geologist noticed that land along a fault line moved 24.8 cm over 175 yrs on average how much did the land move each year
In a company, 60% of the workers are men. 2,120 women work for the company, how many workers are there in all?
In a recent 10 year period, the change in the number of visitors to U. S. National Park was about -11,150,000.
Answer:
1115000
Step-by-step explanation:
Sophia has read 75 pages in a 250-page book. What percent of the book has Sophia read?
B
ryn had $525 which was 70%of the total amount needed for a deposit on an apartment. what was the total deposit needed
It takes Olive 20 minutes to read 5 pages of her book. At what unit rate is olive reading?
For this case we can find the unit rate in number of minutes per page.
To do this, we divide the total time between the number of pages.
We have then:
[tex]r = \frac {20} {5} \frac {min} {pag}\\r = 4 \frac {min} {pag}[/tex]
Answer:
The unit rate olive is reading is:
[tex]r = 4 \frac {min} {pag}[/tex]
−0.9+2.0 Please answer
Answer: 1.1 hope i helped u guys
Step-by-step explanation:
The preventative maintenance plan for your automobile is $896. If you were required to replace your water pump and starter for $316 and $443, respectively, how much did the repairs cost you?
A. $896 (Would the maintenance plan cover it so it would just be 896?)
B. $316
C. $661
D. $1,655
Answer:
Option A is correct because the maintenance plan covers the cost of repair.
Step-by-step explanation:
We are supposed to replace water pump and starter for $316 and $443, respectively.
So, total cost = [tex]316+443[/tex]
= $759
Since we are given that the preventative maintenance plan for your automobile is $896.
The total cost of repair is under the maintenance plan .
So, the answer is $896.
Option A is correct because the maintenance plan covers the cost of repair.
the coffee pub has cans of coffee that weight 3 1/4 pounds each. the pub has 8 1/2 cans of coffee left. What is the total weight of 8 1/2
To find the total weight of 8 1/2 cans of coffee, multiply the weight of each can by the number of cans. The total weight is 27 1/2 pounds.
The total weight of 8 1/2 cans of coffee can be found by multiplying the weight of each can (3 1/4 pounds) by the number of cans left (8 1/2).
3 1/4 pounds x 8 1/2 = 27 1/2 pounds
Therefore, the total weight of 8 1/2 cans of coffee is 27 1/2 pounds.
78 is three times a number
solve for y, then find the value of y when given x = -2. 6x = 7 - 4y
To solve for y in the equation 6x = 7 - 4y, isolate the y-term by subtracting 7 and dividing by -4. When x = -2, y = 15/4.
Explanation:To solve for y in the equation 6x = 7 - 4y, we can start by isolating the y-term. First, subtract 7 from both sides of the equation to get 6x - 7 = -4y. Then, divide both sides by -4 to isolate y and change the sign, giving us y = -6x/4 + 7/4. To find the value of y when x = -2, we substitute -2 into the equation:
y = -6(-2)/4 + 7/4 = 3 + 7/4 = 3 3/4 = 15/4
Learn more about Solving linear equations here:https://brainly.com/question/29775795
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Convert 12 over 5 to a decimal using long division.
The Masons are driving home from a trip. The function graphed models the Masons' distance from home, y, in miles, after x hours of driving.
What do the key features of the graph indicate in this situation?
Drag and drop the answers into the boxes.
ANSWER
The key features are:
1. The y-intercept which is [tex](0,400)[/tex].
This means that at time [tex]x=0[/tex], the Masons are [tex]400[/tex] miles away from home.
2. The x-intercept which is [tex](8,0)[/tex].
This means after [tex]8[/tex] hours the Masons reached home.
The reason is that [tex]y=0[/tex] miles. This means that there is no distance between the Masons and their home.
3. The slope of the graph which is [tex]\frac{distance}{time}[/tex] tells us the speed at which they travel towards their home.
[tex]Speed=|\frac{0-400}{8-0}| =|-50|=50[/tex].
This means they traveled at a speed of [tex]50miles/hour[/tex].
The negative slope of the graph tell us that the distance is reducing as they approach their home.
Which unit rate is the lowest price per ounce? Choice A: 25 ounces of potato chips for $3.49. Choice B: 45 ounces of potato chips for $4.79
Choice A
Choice B
Both are equal
Not determined
which is bigger 3/8 or 0.38
0.38 is bigger than 3/8.
Explanation:To compare 3/8 and 0.38, we need to convert them to the same form. Since 0.38 is already in decimal form, we need to convert 3/8 to decimal form as well. Dividing 3 by 8 gives us 0.375.
Comparing 0.375 and 0.38, we can see that 0.38 is bigger than 0.375. So, 0.38 is bigger than 3/8.
12 is a percentage of 43