The number of hardback books that are on the bookshelf is 29 books.
Let the total number of books be T.Let the number of hardback books be H.Let the number of paperback books be P.Given the following data:
Total number of books = 36 booksTo determine the number of hardback books that are on the bookshelf:
Translating the word problem into an algebraic expression, we have;
The total number of books is:
[tex]T = H+P[/tex]
The number of hardback books is 15 more than twice the number of paperback books:
[tex]H =2P+15[/tex]
Substituting the given parameters into the formula, we have;
[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]
P = 7 books
For number of hardback books:
[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]
H = 29 books
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What are the outliers for 7,1,9,9,12,25,9,7,7,
On a coordinate plane, 2 lines are parallel to each other.This system of equations has .
PLS HELP
Answer:
No solutions
Step-by-step explanation:
The lines never meet, there for have no intersection point leading to no solution for the system of equations.
Hope that helps
8-kg lead brick falls from a height of 1.6 m.
(a) Find its momentum as it reaches the ground.
Ikg-m/s
(b) What Impulse is needed to bring the brick to rest?
N-s
(c) The brick falls onto a carpet, 2.0 cm thick. Assuming the force stopping it is constant, find the average force the carpet exerts on the brick
N
(d) If the brick falls onto a 6,0 cm foam rubber pad, what constant force is needed to bring it to rest?
The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.
The correct responses are;
(a) 44.8 kg·m/s(b) 44.8 N·s(c) 6,278.4 N(d) 2,092.8 NReasons:
The velocity of the brick as it reaches the ground is given by the formula;
v² = 2·g·h
v = √(2·g·h)
Where;
h = The height of the brick, h = 1.6 m
g = The acceleration due to gravity ≈ 9.81 m/s²
Therefore;
v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s
(a) Momentum = Mass × Velocity
The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s
(b) Impulse = Force × Δt = Mass × Δv
Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s
Therefore, the impulse = 44.8 N·s
(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m
Initial energy in the brick, E = m·g·h
Which gives;
E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J
Energy = Force × Distance
[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]
The average force the carpet exerts, F = 6,278.4 N
(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;
Distance = 6.0 cm = 0.06 m
Therefore;
[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]
The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N
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What is the measure of each angle of a regular heptagon? If necessary, round to the
nearest tenth.
Answer:
Umer F. 51.43∘ is the measure of each exterior angle in a regular heptagon.
To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
31. One serving of party drink is comprised of 3oz of syrup, 4oz of water, and 3oz of apple juice. If a large bowl of the drink contains 237oz of apple juice, how much of the total drink is in the bowl
Answer:
790 oz
Step-by-step explanation:
Ratio:
3oz syrup : 4oz water : 3oz apple juice: 1 serving: 10oz total mixture
We know there is 10oz total mixture because 3oz of syrup + 4oz of water + 3oz of apple juice = 10oz total mixture
We want to find
237oz apple juice: ?oz total mixture
To do this, we can multiply the ratio
3oz apple juice: 10oz total mixture by 237/3, because 237/3 * 3 = 237, getting us to 237oz apple juice on one side and maintaining the ratio so that we can find the total mixture amount, so we have
237oz apple juice: 10*237/3 oz total mixture = 10*79 = 790 oz
How do you add 11/11 + 23/45? And what is the answer? Explain how you got that answer
Answer:
90
Step-by-step explanation:
first you do 11 + 11 =22
23+45=68
now im postitive you add 68 and 22 and get you final answer which is ...
90
Answer:
1 23/45
Step-by-step explanation:
Start by multiplying numerators and denominators to get the LCD in all fraction denominators
=11×45/11×45+23×11/45×11
Then rewriting the equation with the equivalent fractions
=495/495+253/495
With like denominators we can operate on just the numerators
=495+253/495
=748/495
Simplifying the answer
=68/45
=68/45
=1 23/45
Y=x2+3x+1
when х= 5, y=?
Answer:
y = 41
Step-by-step explanation:
Substitute x = 5 into the equation
y = 5² + 3(5) + 1 = 25 + 15 + 1 = 41
solve the equation below.
2/3 (9x - 12) - 6x
48
Step-by-step explanation:
idek I just need tge points so don't put what I put
Answer:
-8
Step-by-step explanation:
1. Simplify
2/3 (9x - 12) -6x —-> 2 (9x - 12) -6x/3
2. Distribute
2(9−12)/3 -6x
18x - 24/3 -6x
3. Find common denominator
18 −24/3 + 3(-6)x/3
4. Combine fractions with common denominator
18−24+3(−6)/3
5. Multiply the numbers
18−24+3(−6)/3 ——> 18−24−18/3
6. Combine like terms
18−24−18/3 ——> -24/3
7. Cancel terms that are in both the numerator and denominator
−24/3
−8
Hope it helps! Have a great day! :D
3 ½ pints = ___ cups
Answer:
8.40665 cups
Step-by-step explanation:
hope this is helpful!
What additional information can be used to prove AZDX = AXYZ by SSS?
XZ=ZD
DX=YZ
DZ=YX
XZ=XY
Answer:
B. DX = YZ
Step-by-step explanation:
a point f(–3, 1) is translated along the vector ⟨5, –1⟩.what are the coordinates of the image f′ ?
Which of the following is in the range of the function based on the input-output table below?
Answer:
A.
Step-by-step explanation:
The answer is A because first:
1. we are looking for y so B and D are off the table
2. It goes from least to greatest so C is also gone
3. You are left with A
Answer:
A
Step-by-step explanation:
The range is the y value.
In this table the y value is pay per month.
(7g+2)(5g+4)=
help please !
Answer:
35g^2+38g+8
Step-by-step explanation:
(7g+2)(5g+4)
35g^2+10g+28g+8
35g^2+38g+8
Which is the value of x?
10
7
Answer: 12.2
Step-by-step explanation: Pythagorean Theorem
Lizzy wants to solve the equation 6(2x + 1) = 4x – 5. Which step would be an appropriate first step for Lizzy to take to solve for x?
Answer:
distribute parenthesis
Step-by-step explanation:
6(2x + 1) = 4x - 5 ← distribute parenthesis on left side
12x + 6 = 4x - 5 ( subtract 4x from both sides )
8x + 6 = - 5 ( subtract 6 from both sides )
8x = - 11 ( divide both sides by 8 )
x = - [tex]\frac{11}{8}[/tex]
which translation vector moves every point of a preimage 4 units left and 6 units up?
Evaluate the expression if a = 4, b = 9, and c = 1.
3b÷c1−a
–27
–9
9
27
Answer:
I used the discriminant which is √-4ac
Then I filled the numbers in, and found that 9 gets plug in for b and this becomes 9 squared, and that becomes 81. 4 is multiplied to 4 and 1 and becomes 16. Then 81 and 16 are subtracted and we get 65. We then find the square root, and will find that the answer is C.
Step-by-step explanation:
Answer:
3b÷c1−a
=3×9÷1×1-4
=27÷1-4
=27-4
=23
using the letters from the word equation, how many 5-letter patterns can be formed in which q isfollowed immediately by u?
Using the arrangements formula, it is found that there are 720 words that can be formed.
The number of possible arrangements of n elements is the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem:
The non-qu letters of the word equation will be arranged in 5 positions.The "qu" can be positioned in 6 ways(letters 1-2 to letters 6-7), hence:[tex]T = 6 \times 5! = 6! = 720[/tex]
There are 720 words that can be formed.
To learn more about the arrangements formula, you can take a look at https://brainly.com/question/24648661
please help me with this
Answer:
MN=9.1 cm
LM= 9.9 cm
Step-by-step explanation:
in a dilation, what is preserved and what is altered?
Answer:
Preserve angles
Step-by-step explanation:
i think sorry if its wrong
Answer:
to preserve angles
Step-by-step explanation:
The blueprint for Moreno's living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new blueprint? (The width is 8)
Change one digit from the number 238882 so that it is divisible by 3 not not divisible by 2
Answer:
238882 -> 238881
Step-by-step explanation:
To make it not divisable by 2, you have to change the rightmost digit.
Simply divide the number by 3, round it, then multiply it by 3 again.
What is 100 plus 300??????
Answer:
The answer is 400
Step-by-step explanation:
...........
Answer:
the answer is 400 darlin
Step-by-step explanation:
Can someone please help me with this
Step-by-step explanation:
when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.
and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.
and all angles around a single point on one side of a line are together 180°.
because of all that,
angle 2 = angle 3 = angle 6 = angle 7 = 76°
angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°
Find the volume of the figure below.
Answer:
0.6
Step-by-step explanation:
10ft of object and 6ft of ground side
Joseph invests money in an account paying a simple interest of 2.9% per year. If he invests $60 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?
Help please and thank you.
Answer:
b
Step-by-step explanation:
Austin didn’t win first or last place. The snowmen wearing scarves with stripes were in second and last place. Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman. Keira placed better than Shelby but not as good as Matthew.
Answer:
1st - Matthew
2nd - Kiera
3rd - Jeffrey
4th - Austin
5th - Shelby
The sequence of the statement will be Matthew is in the first place, Kiera is in second place, Jeffrey is in third place, Austin is in fourth place, and Shelby is in fifth place.
What is sequence?An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.
Given:
Austin didn’t win first or last place,
The snowmen wearing scarves with stripes were in second and last place,
Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman,
Keira placed better than Shelby, but not as well as Matthew,
The sequence of the above statement can be written as,
1st - Matthew
2nd - Kiera
3rd - Jeffrey
4th - Austin
5th - Shelby
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HURRY PLS
What is the equation of this line?
y=2x-3
y= -1/2x-3
y= -2x-3
y=1/2x-3
read what on the image then answer
Fraction 10/12 would be greater than 3/4