Answer:
70 is the answer choise I picked it and got it correct
Step-by-step explanation:
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.
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:
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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?
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
The formula for the volume of a right triangular pyramid is V=1/6bhx , where b is the base of the triangle, h is the height of the triangle, and x is the height of the pyramid./
x= v/6hh
x= b/6vh
x=6vbh
x= 6v/bh
genus/ace/expert's PLEASE HELP
Which of the following is another way to represent 5 2/6?
A 6 8/6
B 5 6/8
C 4 12/6
D 4 8/6
(20 pts :D)
The answer would be D, because 4 8/6 is equal to 5 2/6.
Hope this helps ;}
Final answer:
The mixed number 5 2/6 simplified is 5 1/3 and when represented as an improper fraction it is 16/3. Upon reviewing the given options, only D) 4 8/6 is equivalent to 5 2/6 or 5 1/3.
Explanation:
To represent the mixed number 5 2/6 in another form, first simplify it by reducing the fraction to its lowest terms. The fraction 2/6 can be simplified to 1/3 because the numerator and denominator share a common factor of 2. So the number becomes 5 1/3. Now, to find an equivalent representation from the given options, you can convert it to an improper fraction: (5 × 3) + 1 = 15 + 1 = 16, so the equivalent improper fraction is 16/3. Looking at the choices provided, none match 5 1/3 exactly, but we can look at them to determine if any are equivalent:
A) 6 8/6 is equivalent to 6 + 8/6 = 6 + 1 + 2/6 = 7 2/6, which is not equivalent to 5 1/3.B) 5 6/8 can be simplified to 5 + 3/4, which also is not equivalent to 5 1/3.C) 4 12/6 is equivalent to 4 + 12/6 = 4 + 2 = 6, which is not equivalent to 5 1/3.D) 4 8/6 is equivalent to 4 + 8/6 = 4 + 1 + 2/6 = 5 2/6, which is equivalent to 5 1/3.Therefore, the correct answer is D) 4 8/6 as it is another way to represent 5 2/6.
find two consecutive positive odd integers such that the square of the smallest integer, added to 3 times the median integer, is 24
Final answer:
The two consecutive positive odd integers that satisfy the given condition, where the square of the smaller plus three times the median equals 24, are 3 and 5.
Explanation:
The question asks to find two consecutive positive odd integers such that the square of the smallest integer, added to 3 times the median integer, is 24. Let's denote the smallest of these integers as n. Since they are consecutive odd integers, the next integer would be n+2. The equation based on the given condition would be n² + 3(n + 2) = 24.
Expanding and solving the equation gives:
n² + 3n + 6 = 24
n² + 3n - 18 = 0
(n+6)(n-3) = 0
Solving for n, we find n = 3 (since we are looking for positive integers and n+6=0 leads to a negative value).
Thus, the two consecutive positive odd integers are 3 and 5, meeting the given conditions.
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,
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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
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
Polynomials are closed under the operation of addition. Which statement best explains the meaning of closure of polynomials under the operation of addition?
When any two polynomials are added, the result is always a polynomial with positive coefficients.
When any two polynomials are added, the result is always a polynomial.
When any two polynomials are added, the coefficients of like terms are always added.
When any two polynomials are added, the result is always a monomial or a binomial.
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?
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.
What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)?
Answer:
(0,-24)
hope this helps you!
(p.s please mark me as brainlyest)
Step-by-step explanation:
I just took the test and got 100%
Plz help to all the
answers
from a point on the ground 47 feet from the foot of a tree, the angle of evelation of the top of the tree is 35 degrees. find the height of the tree to the nearest foot
For a better understanding of the solution provided here please go through the diagram in the attached file.
In the diagram, F is the foot of the tree.
T is the top of the tree. Then TF will be the height of the tree.
P is the point on the ground 47 feet from the foot of a tree. Therefore, PF=47.
Now, we know that the tree grows vertical from the ground and thus [tex] \angle F=90^{\circ} [/tex]
Thus, the triangle [tex] \Delta PFT [/tex] is a right triangle.
Now, we can apply the trigonometric ratio, tan in this triangle as:
[tex] tan(\angle P)=\frac{Perpendicular}{Base} =\frac{TP}{PF} [/tex]
[tex] \therefore tan(35^{\circ})=\frac{TF}{47} [/tex]
[tex] TF=47\times tan(35^{\circ})\approx32.91\approx33 [/tex]
Thus, the the height of the tree to the nearest foot is 33 feet.
The height of the tree is 32.90 feet.
P is the point on the ground, T is the top of the tree, and h is the height of the tree. We are given that PT = 47 feet and the angle of elevation from P to T is 35 degrees.
We want to find the height of the tree, which is represented by h in the diagram. We can use the tangent function to solve for h.
The tangent of an angle is defined as the ratio of the opposite side to the adjacent side in a right triangle.
In this case, the opposite side is h and the adjacent side is PT = 47 feet. Therefore, we have
tan(35°) = h/47
Solving for h, we get:
h = 47 * tan(35°) ≈ 32.90 feet
Rounding to the nearest foot, we find that the height of the tree is 33 feet.
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:
if x > 2, then (x²-x-6)/(x²-4) = ?
please don't just answer, explain HOW to solve
What is the measure of XHY
What is a example of a composite figure in your home or community? How would you decompose it to find the area? Can you think of another reason that it would be helpful to decompose these figures in addition to making it easier to find the area? EXPLAIN.
A house is an example of a composite figure that can be decomposed into rectangles and triangles to find the area, which aids in calculating material requirements.
An example of a composite figure in a home or community could be a house, which often consists of several rectangles and triangles. To find the area of a house, you would decompose it into its simpler shapes, calculate the area of each shape, and then sum those areas. Aside from finding the area, decomposition is useful for estimating materials needed for construction or renovations, such as flooring, paint, or roofing. For instance, knowing the areas of separate walls can help determine how much paint is needed for each.
What is the volume of this rectangular prism ? 5/2 cm 1/3 cm 3/4 cm
find the total number of four-digit numbers you can write using only digits that are even numbers?
To function properly a rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance . A design calls for a drainage pipe to drop 25 inches as it crosses a building 45 feet wide.will the drainage pipe function properly?
Answer:
We know that the rainwater outflow pipe must drop 1 inch per 25 horizontal inches, this ratio would be:
[tex]\frac{y}{x}=\frac{1}{25}=0.04[/tex]
So, if the drainage pipe has this ratio, then it will function properly. Let's find out:
[tex]\frac{y}{x}=\frac{25}{540}[/tex]
Because, 45 feet is equivalent to 540 inches.
So, the ratio would be:
[tex]\frac{25}{540} \approx 0.046[/tex]
Therefore, the drainage pipe function will function properly because it has the same approximately ratio.Monica earned $18.50, $23.00, and $15.00 mowing lawns for 3 consecutive weeks She wanted to earn an average of at least $18 per week. What is the minimum she should earn during the 4th week to meet her goal?
What is the measurement of angle z in this figure?
Answer:
56
Step-by-step explanation:
A container at a deli has exactly 5 pounds of cheese slices. Each cheese slice weighs exactly 2 ounces. How many total cheese slices are in the container?
Jill drives 75 1/3 miles every hour how many miles can Jill Drive in 8 and 3/4 hours
what is the exact value of x
Debby was packing up some of her old stuff into a box a box can hold 9 pounds but she only filled it up 8/10 full how much weight was in the box
Julian walked a distance of 2 meters. Keira walked a distance of 300 centimeters. Which distance is longer?