In the library at Lenape Elementary School, there are
3/8
as many fiction books as there are nonfiction books. There are 44 books in the school library. How many books are fiction books?
Solution:
we are given that
In the library at Lenape Elementary School, there are 3/8 as many fiction books as there are nonfiction books.
There are 44 books in the school library.
we have been asked to find How many books are fiction books?
Let there are x non fiction books in the library. Then there will be [tex] \frac{3}{8}x [/tex] fiction books.
Hence we can write
[tex] x+\frac{3}{8}x=44\\\\\text{Now solve for x}\\\\\frac{8x+3x}{8}=44\\\\\frac{11x}{8}=44\\\\11x=44*8\\\\x=\frac{44*8}{11}\\\\x=4*8=32\\ [/tex]
Hence there are 32 non-fiction books in the library.
and 44-32=12 fiction books in the library.
Final answer:
To find out how many fiction books are at Lenape Elementary School's library, the total number of books is divided in the ratio of fiction to nonfiction books, which is 3:8. Solving the equation 11/8x = 44, where x is the number of nonfiction books, we find there are 32 nonfiction books and 12 fiction books.
Explanation:
The question asks us to determine how many fiction books there are in Lenape Elementary School's library, given the total number of books and the ratio of fiction to nonfiction books. We know that there is a total of 44 books and that the fiction books are 3/8 the number of nonfiction books.
Let's denote the number of nonfiction books as x. So, the number of fiction books would be 3/8 of x, or 3/8x.
The sum of fiction and nonfiction books is given by x + 3/8x, which equals the total number of books:
1x + 3/8x = 44
Combining like terms, we get:
11/8x = 44
Now, we can solve for x by multiplying both sides by the reciprocal of 11/8:
x = 44 * 8/11
Simplify:
x = 32
Thus, there are 32 nonfiction books and the number of fiction books is:
3/8 * 32 = 12
There are 12 fiction books in the library.
the perimeter of a rectangular sandbox is 34 ft if the length of the sandbox is 8 ft what is the width of the Sand box
find an inequality that you can use to disprove John statement. explain your thinking.
1) The paint company says that we need to buy one gallon of paint for each 350 square feet of walls that we want to paint. How many gallons of paint do we need to buy?
1
2
3
4
2) We don't really need to paint the door and the window, so we want to subtract their areas from the area of the walls. What is the total area in square feet that we actually need to paint?
399
419
439
459
3) Let's say that our room also has one window. The window is 4 feet wide and 3 feet tall. What is the total area of the window put together in square feet?
7
12
14
24
4) Let's say that our room has one door. The door is 3 feet wide and 7 feet tall. What is the total area of the door in square feet?
10
20
21
42
5) Let's say that you want to paint a room in your house. The room has rectangular walls. Each wall is 8 feet high. Two of the walls are 15 feet long, and the other two walls are 12 feet long. Based on these measurements, what is the total area of the walls of the room in square feet? (Hint: Calculate the area of each wall, and add the 4 areas together.)
416
432
454
488
please answer it
a hippopotamus weighs 1.5 tons. What is its weight in ounces?
We can use unitary method here.
First let us use the basic conversion from tons to ounces.
1 ton =32000 ounces
Now we have to find how many ounces are there in 1.5 tons.
Weight of hippopotamus in tons =1.5 tons
Weight of hippopotamus in ounces = 1.5 *32000 = 48000 ounces.
So the weight of hippopotamus in ounces is 48000 ounces.
A building is 200ft long and 140 ft wide a 1/500 model is built of the building how long and how wide is the model?
Blaine,Eric, and Melissa are running for president of the student council. Some of the students in the school were randomly surveyed about whom they will vote from in the election. The results are recorded in the table shown below.
Candidate Survey Results
Blaine ---------- 17
Eric ----------- 14
Melissa --------- 19
If there are 600 students in the school, approximately how many will vote for Eric?
2. WALKING Laura starts at the origin. She walks 8 units to the right and then 12 units up. How far away from the origin is she? Round your answer to the nearest tenth
Final answer:
Laura is approximately 14.4 units away from the origin after walking 8 units to the right and 12 units up, found by applying the Pythagorean theorem.
Explanation:
The question asks how far Laura is from the origin after walking 8 units to the right and 12 units up. To solve this, we can use the Pythagorean theorem, which is a fundamental principle in geometry that deals with the lengths of sides in a right-angled triangle. Here, we consider Laura's walk as the two perpendicular sides of a triangle, with her movement to the right representing the horizontal side (8 units) and her movement upwards representing the vertical side (12 units).
To find the distance (hypotenuse) from the origin, we apply the Pythagorean theorem as follows:
Calculate the square of both the horizontal and vertical distances: 8^2 = 64 and 12^2 = 144.Add the squares of the two sides: 64 + 144 = 208.Take the square root of the sum to get the hypotenuse: sqrt(208) ≈ 14.4 units.Hence, Laura is approximately 14.4 units away from the origin, rounded to the nearest tenth.
456 000 has been rounded to the nearest thousand.
What was the smallest possible number this could have been?
The mean score of a competency test is 82, with a standard deviation of 2. Between what two values do about 99.7% of the values lie?
Answer:
99.7% lies between 76 and 88
Step-by-step explanation:
mean = 82, standard deviation = 2
3 standard deviation has 99.7%
so we need to find 3 standard deviation above and below the mean.
To find 3 standard deviation above the mean , we add standard deviation 2 with mean
82 + 2= 84 first SD
84 + 2= 86 second SD
86 + 2= 88 third SD
88 is the third SD above the mean 82
To find 3 standard deviation below the mean , we subtract standard deviation 2 from mean
82 - 2= 80 first SD
80 - 2= 78 second SD
78 - 2= 76 third SD
76 is the third SD below the mean 82
So , 99.7% lies between 76 and 88
What is the 10th term in the pattern with the formula 2n + 5?
A. 25
B. 20
C. 15
D. 17
Please help 4th grade 3 questions
b for number 1 do u need all of them
Answer:
good luck
Step-by-step explanation:
1- a
2- c
3- b
Which of the following are geometric sequences?
(check all that apply)
A. 2,-2,2,-2,2,-2,2
B. 1,4,9,16,25,36,49
C. 10,5,2.5,1.25,0.625,0.1325
D. 1,2,4,8,16,32
Answer:
A,D,C APEX
Step-by-step explanation:
A rectangular prism has a volume of 60 in³. what is the least possible surface area of the prism?
and
A rectangular prism has a volume of 24 m³. What is the least possible surface area of the prism?
Which is j = 4rb solved for r?
We are given the equation,
[tex] j= 4rb [/tex]
Here we have to solve for r.
r is in multiplication with 4b on the right side of equation.
So we apply opposite operation of multiplication on the left side.
opposite operation of multiplication is division.
So dividing left side by 4b,
[tex] \frac{j}{4b} =r [/tex]
So answer is r=j/4b.
find the total number of four-digit numbers you can write using only digits that are even numbers?
What is the value of x?
Enter your answer in the box.
x =
A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 121/3 feet per minute for 4.5 minutes. This depth is represented by the numerical expression: -200 + 121 3 (4.5) Simplify the expression using the order of operations. What is the diver’s depth? -200 + 37 3 (4.5) -200 + 55.5
−200+
37
3
(4.5)
=−200+55.5
=−144.5 You can use order of operations or pemdas to solve problems like this. Just remeber to go left to right and multiplaction can be before division and multiplacation can be before divison (same with subtaction and addition)
The diver’s depth is 18.5 feet below from sea level.
Given that, A diver begins at sea level and dives down 200 feet.
He ascends at a steady rate of 121/3 feet per minute for 4.5 minutes.
This depth is represented by the numerical expression is,
[tex]=-200 +\frac{121}{3}*(4.5) \\\\=-200+(121*1.5)\\\\=-200+181.5\\\\=-18.5feet[/tex]
Negative sign indicate that below the sea level.
Hence, The diver’s depth is 18.5 feet below from sea level.
Learn more:
https://brainly.com/question/482297
find the greatest common factor of the following monomials 26n5 12n2
Final answer:
The greatest common factor of 26n^5 and 12n^2 is 2n^2, as the prime factor 2 and the variable n to the second power are the highest powers common to both monomials.
Explanation:
The greatest common factor (GCF) of two monomials, 26n5 and 12n2, is found by identifying the highest power of each prime factor that is present in both monomials. To find the GCF of 26 and 12, we factor both numbers into their prime factors:
26 = 2 × 1312 = 22 × 3Since 2 is the only common prime factor between 26 and 12, and its lowest power in both numbers is 21, we take this as part of our GCF. For the variable part, we look at n5 and n2 and take the lowest power, which is n2. Hence, the GCF of 26n5 and 12n2 is 2n2.
What is 5h + 6f - 5h + f
Jennifer Lopez met her 9 cousins at a family reunion. The number of male cousins (x) was 2 less than the number of females cousins (y)
To find the number of male and female cousins Jennifer Lopez met at a family reunion, we can set up a system of equations based on the given information. By solving the system, we can determine the values of the variables and find the answer.
Explanation:The subject of this question is Mathematics and the grade level is Middle School. The question asks about the number of male and female cousins Jennifer Lopez met at a family reunion. Let's define the number of male cousins as x and the number of female cousins as y. From the given information, we know that x is 2 less than y.
So the equation can be written as: x = y - 2
Since Jennifer met a total of 9 cousins, we can write another equation: x + y = 9
Now we can solve this system of equations to find the values of x and y. Subtracting the first equation from the second equation, we get: (x + y) - (y - 2) = 9 - (y - 2)
Simplifying further, we have: x + 2 = 11 - y
Bringing the variables to one side, we get: x + y = 11 - 2
Combining like terms, we have: x + y = 9
Therefore, the value of x is 4 and the value of y is 5. So Jennifer Lopez met 4 male cousins and 5 female cousins at the family reunion.
does the graph represents a function
In this situation, we would use something called the vertical line test. In other words, if we can draw a vertical line that passes more than one point on the graph, then the relation is not a function.
If we use the vertical line test in this situation, it is not possible to draw a vertical line that passes through more than one point. Therefore, this does represent a function.
genus/ace/expert's PLEASE HELP
Which type of graph would best show the number of geese, the number of ducks, and the number of pigeons in two different city parks?
double bar graph
pictogram
bar-graph
steam-and-leaf bar
HELP ME PLEASE
What is the MAD of the data set?
{13, 6, 3, 7, 11}
Enter your answer in the box.
The MAD value of the given data set is "3.2".
Mean absolute deviation (MAD)The average distance between each data value and the mean is defined as the mean absolute deviation of a data set. It is a measure of variation in a data set.
Calculation of the MAD value:
Given:
[tex]\to \{ 13, 6, 3, 7, 11\} \\\\[/tex]
Calculating the sum of the given value:
[tex]\to 13 + 6 + 3 + 7 + 11 = 40\\\\[/tex]
Calculating the average value:
[tex]\to \frac{40}{ 5} = 8\\\\[/tex]
Subtracting the average value from the given set:
[tex]\to 13 - 8 = 5\\\\\to 6 - 8 = | -2 | = 2\\\\\to 3 - 8 = | -5 | = 5\\\\\to 7 - 8 = | -1 | = 1\\\\\to 11 - 8 = 3\\\\[/tex]
Calculated set value:
[tex]\to 5, 2, 5, 1, 3\\\\[/tex]
Adding the set value:
[tex]\to 5 + 2 + 5 + 1 + 3 = 16[/tex]
Calculating the average value of the set:
[tex]\to \frac{16}{5} = 3.2\\\\[/tex]
So, the
[tex]\to \text{MAD} = 3.2[/tex]
Therefore, the final value of MAD is "3.2"
Find out more information about the MAD here:
brainly.com/question/452971
Elise pays $21.75 for 5 student tickets to the fair.What is the cost of each student ticket
I’m not sure how to do this
The area of a quarter circle is 0.785 square kilometers. What is the quarter circle's perimeter?
The quarter circle's perimeter is 3.57 when the area of a quarter circle is 0.785 square kilometers.
Area of quarter circle is 0.785
This is a given value in the question.
Hence radius is 1 using the formula (pi*r*r)/4. This is derived after working out this formula.
Since radius is 1, perimeter is 3.57 using the formula (2*pi*r)/(4 + 2*r). This is also derived after working out this formula.
Hence this is the answer for the perimeter of the quarter circle since the given area of the quarter circle tends to be 0.785 square kilometers.
To learn more about area of the circle,
https://brainly.com/question/28642423
Final answer:
The perimeter of a quarter circle with an area of 0.785 km² is 1.57 kilometers.
Explanation:
Let's call the radius of the circle "r".
Since the area of a quarter circle is a quarter of the whole circle's area, we can set up the following equation:
0.785=(1/4)πr^2
To solve for the radius (r), we can:
Multiply both sides by 4: 3.14=πr ^2
Divide both sides by π: r^2=1
Take the square root of both sides to find the radius: r=1 kilometer
Now that we know the radius, we can find the perimeter of the quarter circle.
The perimeter of a whole circle is 2πr, so the perimeter of a quarter circle is:
Perimeter=(1/4)×2πr=(πr)/2
Plugging in the value of r (1 kilometer):
Perimeter=(π×1)/2= 0.5π kilometers = 1.57 kilometers
Find two consecutive whole numbers that square root 62 lies between
The square root of 62 lies between the two consecutive whole numbers 7 and 8, since 7^2=49 is less than 62 and 8^2=64 is more than 62.
Explanation:The square root of 62 falls into the range of two whole numbers. To ascertain the exact numbers, you need to find the square roots of the whole numbers around 62. These numbers would be 7 and 8, since the square of 7 is 49 and the square of 8 is 64. Therefore, the two consecutive whole numbers that square root of 62 lies between are 7 and 8.
Learn more about Square root here:
https://brainly.com/question/3120622
#SPJ3
i need duh helpssssssssssss