Answer:
5 shelves
Step-by-step explanation:
Given the following :
Width of shelves = 56cm
Maximum thickness of books = 16cm
When placed side-by-side, the entire collection of books takes up 2.4m
Minimum number of shelves required to guarantee that all of the books can be displayed in the book case.
Entire book collection = 2.4m = (2.4 × 100) = 240cm
Width of shelf = 56cm
In other to guarantee that the bookshelf contains all the books, we can assume that the each book is of maximum width, 16cm
Hence, maximum number of books each shelf can hold with guarantee
Width of shelf / max. Width of book
= 56cm / 16cm = 3.5
Hence, a shelf can hold 3 books with full guarantee.
If books are all 16cm thick, then the number of books ;
240 cm / 16 cm = 15 books
If one shelf can hold 3 books, then,
15/3 = 5 shelves are required to hold the books with maximum guarantee.
Find the value of x in the triangle shown below.
Answer:
50
Step-by-step explanation:
Because this is an isosceles triangle, the two bottom angles are equal.
180-80=100
100÷2=50°
A new Youth Activity Center is being built in Hadleyville. The perimeter of the rectangular playing field is 430 yards. The length of the field is 5 yards less than quadruple the width. What are the dimensions of the
playing field?
The width is yards.
The length is yards.
Answer:
Width = 44 yards
Length = 171 yards
Step-by-step explanation:
Given:
Perimeter of the rectangular field = 430 yards.
Let:
The length of the field be L
The width of the field be W.
From the question:
The length of the field is 5yards less than quadruple the width. This implies that;
L = 4W - 5
But.
Perimeter (P) of a rectangle is given by:
P = 2(L + W) ---------------(i)
Substitute the values of P = 430, L = 4W - 5 and W into equation (i) as follows;
430 = 2(4W - 5 + W)
430 = 2(5W - 5)
430 = 10W - 10
10W = 430 + 10
10W = 440
Divide both sides by 10
W = 44
Therefore, the width of the field is 44 yards.
Remember that,
L = 4W - 5
[Now substitute W = 44]
L = 4(44) - 5
L = 176 - 5
L = 171
Therefore, the length of the field is 171 yards
Solve for x: 5 − (x + 5) > −2(x + 4)
A: x > −8
B: x < −8
C: x > −18
D: x < −18
Answer:
Step-by-step explanation:
5 - x - 5 > -2x - 8
-x > -2x - 8
x > -8
answer is A
I NEED HELP DUE RIGHT NOW PLZZZZZ
I NEED HELP PLEASE !!!!!!!
Answer:
[tex]9^{-16}[/tex]
Step-by-step explanation:
Whenever you are adding exponents that have the same base (in this case the base is 9), you simply add the exponents. The base will stay the same because you are just adding the exponents
[tex]-53 + 37=-16[/tex]
So, your answer is [tex]9^{-16}[/tex]
Hope this helps!
x + 9 = 18 + -2x what does x epual
Answer:
x = 3
Step-by-step explanation:
Step 1: Write out equation
x + 9 = 18 - 2x
Step 2: Add 2x on both sides
x + 2x + 9 = 18 - 2x + 2x
3x + 9 = 18
Step 3: Subtract 9 on both sides
3x + 9 - 9 = 18 - 9
3x = 9
Step 4: Divide both sides by 3
3x/3 = 9/3
x = 3
solve the equation for x
Answer
x = 15Step-by-step explanation:
[tex] \sf{ \frac{40}{x + 1} = \frac{15}{6} }[/tex]
Do cross multiplication
[tex] \dashrightarrow{ \sf{15(x + 1) = 40 \times 6}}[/tex]
Distribute 15 through the parentheses
[tex] \dashrightarrow \sf \: 15x + 15 = 40 \times 6[/tex]
Multiply the numbers : 40 and 6
[tex] \dashrightarrow{ \sf{15x + 15 = 240}}[/tex]
Move 15 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{15x = 240 - 15}}[/tex]
Subtract 15 from 240
[tex] \dashrightarrow \: \sf{15x = 225}[/tex]
Divide both sides by 15
[tex] \dashrightarrow{ \sf{ \frac{15x}{15} = \frac{225}{15} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 15}}[/tex]
Hope I helped!
Best regards! :D
How are the expressions 8 - 15 and 8 +(15) alike? How are they different?
Well, one thing they ahve in common is that they are both adding or subtracting the same numbers and of course, they are both expressions.
They are different because one expression is subtract both numbers while one expression is adding both numbers.
8 - 15 = -7
8 + 15 = 23
Best of Luck!
help ASAPPP !!!!!!!!!!!!!!!!!!!Find the midpoint of the line segment joining points A and B.
A(6,- 7); B(2,3)
Answer:
(4,-2)
Step-by-step explanation:
coordinate of midpoint(x1+x2)/2, (y1+y2)/2
x1=6, x2=2 , y1=-7, y2=3
x=6+2/2 ⇒8/2=4
y=-7+3/2 ⇒ y=-4/2=-2
(4,-2)
Four students all took a different approach to solve the equation below. 3 students did something correctly, but one student made a mathematical error. Choose the student who made a mistake. -9+3(4x-5)=21 A)Jesus: Divide everything by 3 B)Kim: Add 5 to both sides C)David: Add 9 to both sides D) Sonja: Distribute the 3
Answer:
meeting id is 79939285299
password is 123456a
Step-by-step explanation:
starts meeting id
Min-jun has a swimming pool that needs to be drained. His pool holds
10,874.5 gallons of water and will need to drain completely in 10.7
hours. What is the change in the water level per hour for Min-jun's
swimming pool? Round your answer to the nearest hundredth.
Answer:
The change in the water level per hour for Min-Jun's swimming pool is 1016.31 Gallons per hour.
Step-by-step explanation:
Since we have a total amount of 10,874.5 gallons and 10.7 hours total to drain the full pool we divide the total amount by the total time, assuming that the pool drains at a constant rate. When we divide 10,874.5 by 10.7 we get 10.16.3084... and rounding it to the nearest hundreth or the second decimal place we get 1,016.31 gallons per hour.
The Ideal selling price for a certain car is $26,000. The make a good deal app indicates that local prices could vary by 6 percent. What is the lowest price you could expect to find?
Answer:
($26,000/100)*94 = $24,440
Step-by-step explanation:
Divide 26,000 by 100 and multyply by 94 (100% - 6%) = $24,440
What is the slope of the line that goes through the points (-15, 70) and (5, 10)?
If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC
this is the answer of this question you have send If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC
find the value of n: 8n+3=19
Answer:
n=9/8 ..................
Answer:
n=2
Step-by-step explanation:
8n+3=19
8n=19-3
8n=16
n=2
9x9+3x3=
what does that equal too
Answer:
252
9x9=81 +3=84
84x3=252
Answer:
90
Step-by-step explanation
(9x9)+(3x3) so first i multiplied 9x9= 81.
then i did 3x3 which is 9
then i added 9+81=90
so the answer is 90
Compare [tex]2^{\frac{1}{2} }[/tex] and [tex]3^{\frac{1}{3} }[/tex]
Greetings from Brasil...
Before comparing mixed fractions, let's make them inappropriate
2 1/2 = 5/2
3 1/3 = 10/3
Comparing fractions. (MMC - Maximum Common Multiple - I don't know that term in English)
2 1/2 = 5/2 = 15/6
3 1/3 = 10/3 = 30/6
30/6 > 15/6 then
3 1/3 > 2 1/2Karyn wanted to cut three lengths of wood from a 10 foot long board. The length of threepieces she wanted to cut were feet, feet, and feet. How much of the 10 footboard would be left over?
Answer:
[tex]Wood\ remain = 1\frac{3}{4}[/tex]
Step-by-step explanation:
Note; given question is incomplete
Size of pieces = [tex]1\frac{2}{3} ,2\frac{3}{4} , 3\frac{5}{6}[/tex]
Given:
Size of wood = 10 ft
Find:
How much wood remain
Computation:
Wood remain = [tex]10-1\frac{2}{3} -2\frac{3}{4} - 3\frac{5}{6}[/tex]
[tex]Wood\ remain = 10-\frac{5}{3} -\frac{11}{4} - \frac{23}{6}\\\\Wood\ remain = 10 - \frac{99}{12} \\\\Wood\ remain = 1\frac{3}{4}[/tex]
Ricardo está lendo um livro. Em um dia ele leu 1/3 do livro e no dia seguinte leu 1/6 do livro. Então calcule: a) A fração do livro que ele já leu b) A fração do livro que falta para ele terminar a leitura
PLEASE HELP ASAP!! Ben worked 6 hours at x dollars per hour. Julie worked 9 hours and earned twice as much as Ben per hour. Phil worked 16 hours and earned 3 dollars an hour less than Julie. Choose the expression that is correctly simplified and best represents their total wages. A. 56x – 48 B. 40x – 48 C. 31x – 3 D. 40x – 3
Answer:
A
Step-by-step explanation:
Given that Ben worked 6 hours at x dollars per hour. That is,
Ben earns = 6x
Julie worked 9 hours and earned twice as much as Ben per hour. That is,
Julie earns = 9 × 2x = 18x
Phil worked 16 hours and earned 3 dollars an hour less than Julie
That is,
Phil earns = 16 × ( 2x - 3 )
= 32x - 48
Total wages = 6x + 18x + 32x - 48
Total wages = 56x - 48
Option A is therefore the best option which is the answer to the question.
Answer:
a is right trust me just took test
Step-by-step explanation:
Question is given in picture below. Help will be greatly appreciated!
Answer:
C
Step-by-step explanation:
Th explicit formula of a geometric sequence has the following format:
[tex]x_n=a(r)^{n-1}[/tex]
Where a is the initial term and r is the common ratio.
From the recursive formula, we can see that each subsequent term is multiplied by 13. Thus, the common ratio is 13.
Also, we are given that the first term is 7.
So, substituting these in, we have:
[tex]x_n=7(13)^{n-1}[/tex]
Our answer is C
And we're done!
You try to start your car, but it does not start. Which of these is a hypothesis? Group of answer choices my car is too old to function properly what is wrong with my car? my car batteries might be dead if I recharge the car battery then the car will start
Answer:
If I recharge the car battery, then the car will start.
Step-by-step explanation:
Hypothesis' are if and when statements
How to write 100.01 as fraction
Answer:
Step-by-step explanation:
10001/100
Answer:
[tex]\frac{10001}{100} [/tex]A group of 24 students have recess together. They are making teams to play a game. Each team has to have exactly 5 players, and no one can be than one team. How many teams can they make? ( it is possible that not everyone can be on a team.)
Determine whether the graphs of y=8x+5 and -y=-8x-5 are parallel ,perpendicular,coincident , or none of these.
Answer:
Below
Step-by-step explanation:
The equations are:
● y = 8x + 5
● -y = -8x + 5 => y = 8x - 5
Both lines have the same slope wich means that they are parallel
Answer:
A: coincident
Step-by-step explanation:
what is the solution to -5x-7≤2?
Answer:
Step-by-step explanation:
-5x - 7 ≤ 2
+ 7 ≤ +7
---------------
-5x ≤ 9
---- -----
-5 -5
X=-1.8
-5(-1.8)-7 ≤ 2
Answer:
x ≥ -9/5
Step-by-step explanation:
-5x≤9
then divide -5
Which numbers are rational? The dots, . . . , indicate that the pattern continues. I. 9.9999999 . . . II. 9.234 III. 9.90990999 . . . Which numbers are rational?
PLEASE HELP ASAP
I don’t quite understand what it means im stuck between multiplication and Like Terms. Can someone please help me?
two sides of a triangle measure 9cm and 23cm. Which could be the measure of the third side of the triangle
Whoch of the following statements are true? Select all that apply
Answer:
C and D
atleast 20 characters to explain it well