According to the calculation, 24 books can fit on the shelf.
Given that a set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide, to determine how many books can fit on the shelf the following division must be performed:
36 / 1.5 = X 24 = XTherefore, 24 books can fit on the shelf.
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is 4.57691 rational?
Answer:
Possibly
Step-by-step explanation:
Depending on how the number is depicted, there are some easy tells. If the number is an integer, or a finite decimal, or decimal with an infinitely repeating portion (like ), or a fraction with integers, finite decimals, or repeating decimals
Kimi and Jordan are each working during the summer to earn money in addition to
their weekly allowance, and they are saving all of their money. Kimi earns $9 per hour
at her job, and her allowance is $8 each week. Jordan earns $7 per hour, and his
allowance is $16 each week.
Their earnings would be the same after 4 hours
Let the number of hours be x, and the weekly earning be y
So, the given parameters are:
Kimi
Earnings = $9 per hourWeekly allowance = $8So, the equation for Kimi's weekly earning is:
[tex]y =9x + 8[/tex]
Jordan
Earnings = $7 per hourWeekly allowance = $16So, the equation for Jordan's weekly earning is:
[tex]y = 7x + 16[/tex]
Equate both equations
[tex]7x + 16 = 9x + 8[/tex]
Collect like terms
[tex]9x - 7x = 16 - 8[/tex]
[tex]2x =8[/tex]
Divide both sides by 2
[tex]x =4[/tex]
Hence, their earnings would be the same after 4 hours
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-4+6p+18+3p=9(p+1)+5
What is the answer?
Answer:
Step-by-step explanation:
Expand
-4 + 6px + 18 + 3p = 9p + 9 + 5
Simplify
14 + 9p = 9p + 14
Solve
Take away 14 from both sides
9p = 9p
p = p
p = 0
Step-by-step explanation:
as shown in the photo
p equals to p
can someone help me with this
Answer: i think you should label it with numbers first
maybe??
Step-by-step explanation:
If the polynomial
[tex] {x}^{19} + {x}^{17} + {x}^{13} + {x}^{11} + {x}^{7} + {x}^{5} + {x}^{3} [/tex]
is divided by (x² + 1), then the remainder is:
(a) 1
(b) x² + 4
(c) -x
(d) x
Please solve this for me. Spam free answer required. Thank you.
Answer:
(C) - xStep-by-step explanation:
Given polynomial:
x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³Group as follows:
(x¹⁹ + x¹⁷) + (x¹³ + x¹¹) + (x⁷ + x⁵) + (x³ + x) - x = x¹⁷(x² + 1) + x¹¹(x² + 1) + x¹⁵(x² + 1) + x(x² + 1) - xAs we see all terms have (x² + 1) as factor apart from the last one.
It means the remainder is - x
Correct choice is C
Solve for x. x^2+6x+9=0
Answer:
x=-3
Step-by-step explanation:
x^2+6x+9=0
Factor
(x+3)(x+3) =0
Using the zero product property
x+3 =0 x+3=0
x=-3 x=-3
Solution
x=-3
Find the value of x.
Answer:
Step-by-step explanation:
The line which 3x represents is twice as big as the 48. That's because both sides other than the base are bisected.
3x = 2 * 48
3x = 96 Divide by 3
3x/3 = 96/3 Combine
x = 32
Find 51% of the number 93.
Answer:
47.43
Step-by-step explanation:
To find 51% of the number 93, multiply the latter by 0.51:
0.51(93) = 47.43
Answer:
47.43
Step-by-step explanation:
51% of 93
[tex]\frac{51}{100}\times \frac{93}{1}[/tex]
[tex]=\frac{4743}{100\times \:1}[/tex]
[tex]=\frac{4743}{100}[/tex]
The lines represented by the equations y=-2x-6 and 2y+x=-16 are
Answer:
Is that the entire question? I want to help but I don't see a full question it looks like half of one
Find the greatest common factor. 54,81
54: 1, 2, 3, 6, 9, 18, 27, and 54
81: 1, 3, 9, 27, and 81
Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? (1 point)
Please help me on this it’s due tomorrow:(((
Answer:
Bro
Step-by-step explanation:
sorry
13)The final grade on your math exam was determined by the function f(x) = 100 - 2x. Which statements are correct?
A) 100 is the maximum grade,
B) y equals your final grade..
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems
Answer:
A, B, D
Step-by-step explanation:
from this function, we can see that 2x is being subtracted from 100. x is the number of incorrect problems, so this can not be a negative value. therefore, the maximum score you can get is 100. y is equal to your final grade as calculating the right side of the equation results in the grade you receive based on the number of incorrect answers. this is a linear function since its highest power is 1. each question is worth 2 points as 2 is being multiplied by the number of incorrect questions (x).
A town’s population increased from 25200 to 26460. Find the percent of increase.
Answer:
5%
Step-by-step explanation:
Based on the given conditions, formulate: (26460-25200)÷25200
Calculate the sum or difference: 1260/25200
Cross out the common factor: 1/20
Multiply a number to both the numerator and the denominator: 1/20 * 5/5
Write as a single fraction: 5/20*5
Calculate the product or quotient: 5/100
Rewrite a fraction with denominator equals 100 to a percentage: 5%
Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answer:
$20,073.38
Step-by-step explanation: Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.
Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.
Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.
Enter the explicit rule for the geometric sequence ...
60, 12, 12/5, 12/25, 12/125
Answer:
an = 60 x 1/5^n-1
Step-by-step explanation:
correct me if i am wrong, but I just learned about this stuff so hopefully this helps. The explicit rule/formula is an = a1 x r^n-1. In this formula, a1 is the first term (60), and r is the common ratio (1/5). Now all that is left to do is to write the equation which would be 60 x 1/5^n-1.
How long does it take him to make $375.25
Which graph shows a dilation?
Greg is recording the changes in his bank account balance. In the morning, he records a deposit of $7. In the afternoon, he records a purchase of
$8
Create two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase. Move numbers
to the lines to create the expressions.
Expression a: _-_
Expression b: _-_
Choices -8, -7, 7, 8
Answer:
Step-by-step explanation:
i think that it is either -7 - -8 or -7 + 8 or -7+-8.
Two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase are
Expression a = 7 - 8
Expression b = -8 - (-7)
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
For example, x + y is an expression, where x and y are terms having an addition operator in between.
Given,
Greg records deposit of $7
He records purchase of $8 b
Total change = 7 + (-8)
Expression a = 7 - 8
Expression b = -8 - (-7)
Hence, 7 - 8 and -8 - (-7) are the two expressions for total change in Greg's bank account after his deposit and purchase.
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#SPJ2
×-2+2×+4+2×-2=180 what does x equal in this equation.
Answer:
x = 36
Here's how I got that:
- Group like terms -
x - 2 + 2x + 4 + 2x - 2 = 180
↓
5x - 2 + 4 - 2 = 180
↓
5x = 180
- Divide both sides by 5 -
5x/5 = 180/5
↓
x = 36
~ That's all folks ~
-Siascon
4. Jeremy is starting a juice-bar business. The cost to start the business is $32,000 and the
monthly costs are $4,000. He has been earning $5,600 every month in revenue. In how many
months will Jeremy's business break-even and earn a profit?
Answer:
Step-by-step explanation: Ok so the important thing is to figure out how much he makes each month. if he earns 5,600 but the cost are 4,000 he makes 1,600 every month. To figure out how many months it will take we divide 32,000 by 1,600 to get 20. that is when he breaks even, 20 months. To make a profit it will be 21 months.
rút gọn (x-4) (x-3) -x(x+5) +82
Answer:
-12x + 94
Step-by-step explanation:
Simplify:
[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]
[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]
[tex]=x^2-7x+12-x^2-5x+82[/tex]
[tex]=x^2-x^2-7x-5x+12+82[/tex]
[tex]=-7x-5x+12+82[/tex]
[tex]=-7x-5x+94[/tex]
[tex]=-12x+94[/tex]
Is there a relationship between deforestation and Global climate change
Answer:
There is a relationship between Deforestation and Global Climate Change.
Step-by-step explanation:
Deforestation is a cause of global climate change.
20 Points Please Help
A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building
Answer: 102 foot / feet tall
Step-by-step explanation:
First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1
Second, multiply . . . what is 1.2 x 85 ? 102
( sorry if this is wrong - I forgot how to do the second part for a sec )
Need help with properties if dilations homework
With a dial action, although the dilated image may get smaller or larger the angles/ slope of lines would remain the same.
Slope = change I. Y over the change in X
Slope = (5-4) /(3-2) = 1/1 = 1
Slope = 1
I giv Brainliest
Please select the best answer from the choices provided
A
B
C
D
Answer:
c
Step-by-step explanation:
Answer:
The best answer is option C.
Step-by-step explanation:
Option A is a linear function, Option D is translating the non-linear function 4 units up but nowhere right or left, and I don't know about Option B...
y=1.5x+8 which represents the equation when solved for x?
[tex]y=1.5x+8\\\\\implies 1.5x = y-8\\\\\implies x = \dfrac{y-8}{1.5}\\\\\implies x = \dfrac{y-8}{\tfrac 32}}\\\\\implies x = \dfrac{2(y-8)}{3}\\\\\implies x = \dfrac 23 y- \dfrac{16}3[/tex]
A culture of bacteria has an initial population of 74000 bacteria and doubles every 3 hours. Using the formula
P
t
=
P
0
⋅
2
t
d
P
t
=P
0
⋅2
d
t
, where
P
t
P
t
is the population after t hours,
P
0
P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 13 hours, to the nearest whole number?
Using an exponential function, it is found that the population of bacteria in the culture after 13 hours is of 1,491,747.
An exponential function, with a doubling time of d, after t hours, is given by:
[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]
In which A(0) is the initial amount.In this problem:
The doubling time is of 3 hours, hence [tex]d = 3[/tex].The initial population is of 74000 bacteria, hence [tex]A(0) = 74000[/tex].Then:
[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]
[tex]A(t) = 74000(2)^{\frac{t}{3}}[/tex]
After 13 hours:
[tex]A(13) = 74000(2)^{\frac{13}{3}} = 1491747[/tex]
The population of bacteria in the culture after 13 hours is of 1,491,747.
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The perimeter of the figure is given. Find the length of the indicated side. 4x -4 is one side what's the unknown slide the figure is a rectangle Perimeter = 12x + 4 The length of the indicated side is
Answer:
2x+6
Step-by-step explanation:
Perimeter of a rectangle= 2(length + width)
12x+ 4= 2(length + 4x-4)
2(6x+2)= 2(length + 4x-4)
divide both sides by 2
6x+2= length+4x-4
length = 2x +6