As all of the bundles have the same content inside, so assuming that there is x number of Fiction books and y number of Non-fiction books in each bundle.
Let n be the total number of bundles that my team can send.
There are 64 Fiction books, so
nx=64 ...(i)
Or x=64/n ...(ii)
also, there are 48 Non-Fiction books, so
ny=48 ...(iii)
Or y=48/n ...(iv)
Observing that the numbers x, y, and n are counting numbers and from equations (i) and (iii), n is the common factor of 64 and 48.
The possible common factors of 64 and 48 are,
n=1,2,4,8, and 16.
So, my team can send 1,2,3,4,8 or 16 bundles of books.
Now, from equations (ii) and (iv),
For n=1:
x=64/1=64
y=48/1=48
So, for 1 bundle the number of Fiction and Non-fictions books are 64 and 48 respectively.
For n=2:
x=64/2=32
y=48/2=48
So, for 2 bundles, the number of Fiction and Non-fictions books are 32 and 24 respectively.
For n=4:
x=64/4=16
y=48/4=12
So, for 4 bundles, the number of Fiction and Non-fictions books are 16 and 12 respectively.
For n=8:
x=64/8=8
y=48/8=6
So, for 8 bundles, the number of Fiction and Non-fictions books are 8 and 6 respectively.
For n=16:
x=64/16=4
y=48/16=3
So, for 16 bundles, the number of Fiction and Non-fictions books are 4 and 3 respectively.
Describe the translation of figure ABCD. Use the drop-down menus to explain your answer.
AlternativeText
Figure ABCD is translated
unit(s) right and
unit(s) up.
Answer:
Is Figure A'B'C'D' a translation of Figure ABCD? Explain. Yes; it is translated 2 units left and 2 units up.
Step-by-step explanation:
In what ratio is the line joining the points.
(-1,8) and (5,2) divided by the point (3,4)
Answer:
2:1
Step-by-step explanation:
use k:1 as ratio, and then apply the section formula.
let's use the x co-ordinate pf the point in between the other two which is=(3)
section formula says,
x=mx2 + nx1/(m+n)
m=k , n=1
substitute all the values,
3=5k+(-1)/(k+1)
take k+1 to left side,
3(k+1)=5k-1
3k+3=5k-1
5k-3k=3+1
2k=4
(÷2)
k=2
hence, the ratio = 2:1
You lay a ladder against a building window. The building makes a right angle to the ground. The building is 30 feet tall, and the distance from the bottom of the building to the bottom of the ladder is 12 feet. What is the distance from the bottom of the ladder to the window?
Answer:
32.3 feet.
Step-by-step explanation:
I attached a picture to show u the work!! sorry I spelled pythagorean theorem
Please help!! Thank you
Evaluate n^3 + 12 when n=2
Answer:
20
Step-by-step explanation:
2^3=8
8+12=20
I hope this helps.
Help *QUICK!!!* please
Answer:
a. 8x+5
b. 7x+1
c. 14x²+6x+8
d. x²+6x+5
What’s the value of the underlined digit?
Answer:
C
Step-by-step explanation:
Do 300,000/3 and count 0 to find answer
The L.C.M of 4 and 8 is what?
Answer:
8 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
[tex]8 \: is \: the \: lcm \: of \: 4 \: and \: 8[/tex]
Jordan has $30.00 to spend. What combination of watermelon, pineapple, and mango can Jordan buy for $30.00? Draw a picture and write a number sentence that shows two different ways he could spend his money if he .00. Cut out the manipulatives on the last page, or draw your own pictures on a separate sheet of paper to help you solve the problem.
Answer:
he could get like 30 things for a $$$$$$$$$
Step-by-step explanation:
10 watermelon = $10
10 mango = $10
10 pineapple = $10
Susan walks into a coffeeshop. The shop charges $3 for a small coffee and $2 one-time tip for the barista. Consider the following: y = 3x + 2, y is the total cost for coffees and x is the number of coffees purchased. Based on the information, which statement is TRUE?
[tex]x^{2} \sqrt{x} \neq \geq \leq[/tex]Answer:
B
Step-by-step explanation:
Its so easy
Tammy has planted a small young tree in her yard. To allow for the trees growth she needs 15 ft in all directions around the base of the tree to remain open and unplanted which best describes the section of ground surrounding the base of the tree that should remain unplanted? Area of an isosceles triangle, area of a equilateral triangle, area of ellipse, area of a square, or the area of a circle?
Answer:
area if square or area of ellipse
Step-by-step explanation:
I think so if I get it word don't get made at me
The required area that is best for the planting of the tree is the area of the circle.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Given that, Tammy has planted a small young tree in her yard. To allow for the growth of the tree she needs 15 ft in all directions around the base of the tree to remain open.
When the curve is drawn at 15 ft from the plant the curve came out to be a circle,
Thus, the required area that is best for the planting of the tree is the area of the circle.
Learn more about the surface area here: https://brainly.com/question/2835293
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Write out the steps to find the solutions for the following quadratic: (x-2)^2 = 25
(Please help me out with this one!)
Answer:
x=7
Step-by-step explanation:
Starting with (x-2)² = 25
First, square root both sides to get rid of the square on the left. You'll get:
x-2 = 5
Add 2 to both sides to get x alone. You'll get:
x=7
Check your answer by filling in 7 for x:
(7-2)² = 25
(5)² = 25
25 = 25
Beatrice traveled the last 220 miles of the trip at 55 miles per hour. The entire trip
covered 430 miles and took 7 hours. What was her rate for the first 210 miles?
Answer:
Beatrice traveled the last 220 miles of the trip at 55 miles per hour. The entire trip covered 430 miles and took 7 hours. What was her rate for the first 210 mile?
Let Beatrice's average speed for the first 210 miles = S
220/55 + 210/S
Solve for S:
4 + 210/S = 7
Bring 4 + 210/S together using the common denominator S:
(2 (2 S + 105))/S = 7
Multiply both sides by S:
2 (2 S + 105) = 7 S
Expand out terms of the left hand side:
4 S + 210 = 7 S
Subtract 7 S + 210 from both sides:
-3 S = -210
Divide both sides by -3:
Answer: |S = 70 - miles per hour, her speed for the first 210 mStep-by-step explanation:
Write an equation for the description
The length of a rectangle is twice its width. The perimeter of the rectangle is 131 feet.
_____=_____
Answer:
[tex]131=6w[/tex]
Step-by-step explanation:
[tex]l=length\\\\w=width\\\\\Longrightarrow l=2w\\\\\Rightarrow Perimeter=l+l+w+w\\\\P=2l+2w\\\\P=2(2w)+2w\\\\P=4w+2w\\\\P=6w\\\\P=131\\\\131=6w\\\\w=\frac{131}{6}\\\\w=21.8\overline{3}\\\\l=43.\overline{6}[/tex]
Answer:
A) l = 2 * w
B) 131 = 2l + 2w
B) 2l = 131 -2w
B) l = 65.5 -w
Substituting this into A)
65.5 -w = 2w
3w = 65.5
width = 21.8333333333
length = 43.6666666666
Double - Check
131 = 2 * 21.833333333 + 2 * 43.6666666666
131 = 43.6666666 + 87.33333333
131 = 131
Step-by-step explanation:
answer please!!! asap
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Less Than
Step-by-step explanation:
Given;
The equation of one exponential function is
[tex]g(x)=-9(0.1)^x[/tex]
Solve for (y-intercept of g(x))
⇒ [tex]g(x) = -9(0.1)^x[/tex]
⇒ [tex]y = -9(0.1)^0[/tex]
⇒ [tex]y = -9[/tex]
Note;
The y-intercept is when x = 0
y-intercept of h(x) = 6
Hence, knowing that -9 < 6.
Thus, y-intercept of g(x) is less than the y-intercept of h(x).
~Learn with lenvy~
Answer:
less than
Step-by-step explanation:
The y-intercept is when x = 0
Function g(x)
[tex]g(x)=-9(0.1)^x[/tex]
Input x = 0 into the equation and solve:
[tex]\implies g(0)=-9(0.1)^0=-9[/tex]
Therefore, the y-intercept of g(x) is (0, -9)
Function h(x)
From inspection of the table, the y-intercept of h(x) is (0, 6)
As -9 < 6, the y-coordinate of the y-intercept of g(x) is less than the y-coordinate of the y-intercept of h(x)
An emperor penguin dives down into the ocean at a constant rate. From the surface, he dives 1,760 feet in 8 minutes. The number -1760 represents the location of the penguin in relation to the surface. What number represents the location of the penguin in relation to the surface 2 minutes after beginning his dive?
Answer:
location after 2 minutes dive from the surface = -440 feet
Step-by-step explanation:
We are told that he dives 1,760 feet in 8 minutes.
Now, we are told that he dives down at a constant rate.
Thus means that the distance he dives per minute can be gotten.
Distance dived per minute = 1760/8 = 220 feet/minutes
Now, we want to find the location of the penguin in relation to the surface 2 minutes after beginning his dive.
Thus;
Distance after 2 minutes = 220 feet/minutes × 2 minutes = 440 feet
Now, because the dive is below the surface, the location will be negative.
Thus, location after 2 minutes dive from the surface = -440 feet
A bird flies from the bottom of a canyon that is 87 7/10 feet below sea level to a nest
that is 829 7/10 feet above sea level. What is the difference in elevation between the bottom of the
canyon and the bird's nest?
Answer:
742 feet
Step-by-step explanation:
829 7/10 - 87 7/10=742
How many pieces of 3 1/2 in. Wood can be cut from a 63 in. Piece of wood?
Answer:
18
Step-by-step explanation:
So, it's a 63 in piece of wood, being cut into 3 1/2 in pieces, (or 3.5)
So do 63 / 3.5 = 18
18 pieces of 3 1/2 in pieces of wood
(30PTS and PLEASE HELP!!) What is the function rule that describes the pattern in the table?
X: -2, -1, 0, 2, 1
Y: -6, -5, -4, -3, -2
A. x = y - 4
B. y = x + 4
C. y = x - 4
D. x = y + 4
9514 1404 393
Answer:
C. y = x - 4
Step-by-step explanation:
We notice that values of x are consistently 4 more than the corresponding values of y. One way this can be written is ...
x = y + 4 . . . (matches choice D)
However, we usually consider y to be the dependent variable. Rearranging this to "y = " form, we have ...
y = x - 4 . . . matches choice C
Please help me solve Question no C anyone?
Answer:
Step-by-step explanation:
help please! could someone also show how they got the answer?
Answer:
420
Step-by-step explanation:
1. Find the area of the square:
5 x 5 = 25
2. Find the area of the triangle:
1/2 x base x height
1/2 x 5 x 4 = 10
3. Add the two areas:
25 + 10 = 35
4. Multiply 35 by 12:
35 x 12 = 420
How many solutions can be found for the equation 5x 3(x − 1) = 10x − 2x − 3? None One Two Infinitely many.
Answer:
D.∞
brainliest would be appreciated!
Could someone please help me? I'm lost on how to solve this.
here is the multiple-choice for the question:
A) $21.83
B) $21.65
C) $22.37
D) $22.08
Answer:
$22.08
Step-by-step explanation:
As long as the night power is not greater than 50%, then the rate is $8.71365.
The day power plan is $13.3672, according to the narration the sum of both variable is required, which is $22.08085.
Which graph represents the inequality 3y−5x>−6?
Answer:Top Left
Step-by-step explanation:
Graph A represents the given inequality 3y−5x>−6. Option A is correct.
From the graphs, the graph is to choose which best describes the inequality 3y−5x>−6
What is inequality?Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Given inequality,
3y−5x>−6.
Since the inequality contains only greater than sign, so options B and C will be omitted because both the graphs show boundary conditions that are wrong for the given inequality.
Now, graph A and D show now boundary condition and shaded portions
3y−5x>−6
Since the inequality is shown greater than -6 so the inequality will start from a negative y toward the positive y i.e.
3y−5x > −6
3y > 5x - 6
y > (5x - 6)/3
The above expression shows the value of y lies above the line y =5x/3-2 which implies graph A is correct.
Thus, Graph A represents the given inequality 3y−5x>−6. Option A is correct.
Learn more about inequality here:
http://brainly.com/question/14098842
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What is 3 to the sixth power times 3 there is a picture please help worth 12 pts.!!!!!
Answer:
2187 ( 3 to the 7th)
Step-by-step explanation:
3 to the 6th= 729
729 x 3 = 2187
Can anyone please help me I am not sure if it’s the correct answer but someone please help me!
Answer:
doing the inverse operationStep-by-step explanation:
You can tell how to isolate a variable by listing the operations done to it, as prescribed by the order of operations. Then, you work backwards up the list performing inverse operations as you go.
__
Additional comment
Where mixed powers of the variable are involved, as in polynomials of degree higher than 1, there is generally not an inverse operation you can use to isolate the variable. Rather, special forms are used that facilitate isolating the variable. The variable in a quadratic, for example, can be isolated by "completing the square." Similar procedures are available for solving cubic and quartic equations, though those tend to be somewhat more complicated.
There are many kinds of equations in which there are no methods for isolating the variable. In general, any mix of polynomial terms and logarithmic, exponential, or trigonometric function terms are in that category: x +sin(x) -3 = 0, for example. (A graphing calculator shows the solution is near x=2.18, where the angle is in radians.)
PLEASE HELP ME ima dumb and really bad at math :(((( !!
Answer:
-27,0
Step-by-step explanation:
I think, not entirely sure tho.
x²+x-56=0 quadratic equations
Step-by-step explanation:
To solve the equation, factor x
2
+x−56 using formula x
2
+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=1
ab=−56
Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −56.
−1,56
−2,28
−4,14
−7,8
Calculate the sum for each pair
−1+56=55
−2+28=26
−4+14=10
−7+8=1
The solution is the pair that gives sum 1.
a=−7
b=8
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−7)(x+8)
To find equation solutions, solve x−7=0 and x+8=0.
x=7
x=−8
help plz!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
3x = 105
x = 35
3(35) = 105