The total number of books on the shelf is 12 books
Given the following parameters
Total number of puzzle books on the shelf = 30 books
If the number of puzzle books is 25 of all the books on the shelf, the total number of books on the shelf is expressed as:
= 2/5 of 30
= 2/5 * 30
= 2 * 6
= 12
Hence the total number of books on the shelf is 12 books
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Answer:
75
Step-by-step explanation:
Given that 7:3 = m:12 what is the value of m? POSSIBLE ANSWERS a) 8 b) 10 c) 16 d) 28
Answer:
option d
Step-by-step explanation:
7:3 is the same as 28:12 which means that m is 28
Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -
Given info:- X = √(4-√7) and Y = √(4+√7)
Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?
Explanation:-
Given that:
X = √(4-√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ X = √[2{(4-√7)}/2]
⇛ X =√[(8-2√7)/2]
⇛ X =√[{(7+1)-2√7{/2]
⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]
It is in the form of a²-2ab+b²
Where , a = √7 and b = √1
⇛X = √[{(√7-√1)}²/2] [∵(a-b)² = a²-2ab+b²]
⇛ X = (√7-√1)/√2
⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)
and
Y = √(4+√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ Y = √[{2(4+√7)}/2]
⇛ Y =√[(8+2√7)/2]
⇛ Y =√[{(7+1)+2√7}/2]
⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]
It is in the form of a²+2ab+b²
Where , a = √7 and b = √1
⇛Y = √[{(√7+√1)}²/2] [∵(a+b)² = a²+2ab+b²]
⇛ Y = (√7+√1)/√2
⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)
On adding Eqⁿ (1) & Eqⁿ(2)
→ X+Y = (√7-1)/√2+(√7+1)/√2
→ X+Y = (√7-1+√7+1)/√2
→ X+Y = (2√7 )/√2
→ X+Y = (√2×√2×√7)/√2
→ X+Y = √2×√7
→ X+Y = √14 — — — — Eqⁿ(3)
On Subtracting Eqⁿ(2) from Eqⁿ(1)
→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]
→ X-Y =[ (√7-1 )-(√7+1)]/√2
→ X-Y = (√7-1-√7-1)/√2
→ X-Y = (-1-1)/√2
→ X-Y = -2/√2
→ X-Y = -(√2×√2)/√2
→ X-Y = -√2 — — — — Eqⁿ(4)
On multiplying Eqⁿ(1)& Eqⁿ(2)
→ XY = [(√7-1)/√2][(√7+1)/√2]
→ XY = (√7-1)×(√7+1)/(√2×√2)
→ XY = [(√7)²-(1)²]/(2) [∵(a+b)(a-b) = a²-b²]
→ XY = (7-1)/2
→ XY = 6/2
→ XY = 3 — — — — — Eqⁿ(5)
Now,
The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²
It can be written as
⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²
From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)
⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²
⇛ (2/3) + (9×14)+(14)
⇛ (2/3)+(126)+(14)
⇛ (2/3)+140
⇛ [2+(3×140)]/3
⇛(2+420)/3
⇛ 422/3
Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.
If you have any doubt, then you can ask me in the comments.
At the end of which day does Tyler have 2750 feet left to climb?
jamie made 40 cupcake she frosted 1/2 of the cupcakes . of th frosted cupcake she put sprinkies on 1/5 of them , she ate 1/4 of the frosted cupcakes that had sprinkle
Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in a year? A: $360 b: $300 C: $30 D: $36
Answer:
d - $36
Step-by-step explanation:
I=Prt
(interest=principle*rate*time in years)
I=1200*.03*1
I=1200*.03
I=36
1+1
This is pretty easy I know
Answer: 2
Step-by-step explanation: i dont even need to explain
Answer:
2
Step-by-step explanation:
one apple plus one apple gives you two apples :)
Can some one please help me please
Answer:
j(10) (÷} =÷9
so let's check 89÷9= 9
A triangle has sides with lengths of 16 meters, 7 meters, and 12 meters. Is it a right triangle?
write 28 + 24 as a product of two factors using the greatest common factor and the distributive property
Answer:
4 * 13
Step-by-step explanation:
Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.
ted
Explain how to find each missing digit.
Display each 0-9 tile exactly once.
If you have a partner, take turns.
Answer:
What is a partner
Step-by-step explanation:
write an equation in standard form of the line that passes through (7, -3) and has a y intercept of 2
Answer:
Step-by-step explanation:
I would start with the form
y = mx + b
and then convert to standard form. Using the given point and the given y-intercept, find the slope from
-3 = 7m + 2 ⇒ m = -5/7
y = (-5/7)x + 2
7y = - 5x + 14
5x + 7y = 14 (standard form)
The equation in standard form of the line is 5x + 7y = 14
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, a line is passing through (7, -3) and has a y intercept of 2
The general equation of a line is y = mx + b
Using the given point and the given y-intercept, find the slope from
-3 = 7m + 2
m = -5/7
y = (-5/7)x + 2
7y = - 5x + 14
Converting into standard form;
5x + 7y = 14
Hence, the equation in standard form of the line is 5x + 7y = 14
For more references on equations, click;
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From a group of students, 28 students like rice, 23 students like dumplings, 16 students like both and 11 students do not like rice nor dumplings. How many students were interviewed?
78
Step-by-step explanation:
23+28+16+11=78
people who was interested in the restaurant
What is 1/16 divided by 3
Hello angeltomlin!
[tex]\mathfrak{\frac { \frac { 1 } { 16 } } { 3 }}\\ = \mathfrak{\frac{1}{16\times 3}} \\ = \boxed{\mathfrak{\frac{1}{48} \approx 0.0208}}[/tex]
Steps :
Our question is 1/16/3.To do this, at first, we need to bring 16 to the denominator along with 3.1/16 × 3 = 1/48So, our answer is 1/48 which is aproximately equal to 0.0208.Refer to the attached picture if the steps are not clear.
____________
Lucazz
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.50 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
1/8+3/4= ______________
Answer:
7/8
you need a common denominator so multiply 3/4 by 2 to get 6/8 so now to have a common denominator then just add 1/8+6/8
Answer:
The answer is 7/8.
Step-by-step explanation:
First convert the 3/4 into eighths to get a common denominator. This will add everything together easier. Since 3/4 = 6/8, that means 1/8 + 6/8 = 1/8 + 3/4. The answer is 7/8. You can't simplify the answer any further.
Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome to walk 1 mile?
Answer:
5/6
Step-by-step explanation:
3 hours= 2 1/2 miles
1 hour= 2 1/2 divided by 3
It would take him 5/6 of an hour
Hop this helps!
What is 52 divided by 2? please help meeeee
A. 16 B. 26 C. 27 D. 36
Answer:
D. 26
Step-by-step explanation:
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╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲
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Brainliest?
What is 9% as a fraction or mixed number in simplest form?
Answer:
9/100
Step-by-step explanation:
9×100 = 9/100 I think
Solve for x
9(x + 5) = -9
Answer:
x = -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
9(x+5)=−9
(9)(x)+(9)(5)=−9(Distribute)
Step 2: Subtract 45 from both sides.
Step 3: Divide both sides by 9.
Hello there! :)
9(x+5)=-9
Use the Distributive Property:
9(x+5)=-9
9x+45=-9
9x=-9-45
9x=-54
Divide both sides by 9:
x=-6
Hope it helps you! :) Feel free to ask me if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Please help x
Answer:
SteThe difference between climate change mitigation strategies and climate change adaptation is that mitigation is aimed at tackling the causes and minimising the possible impacts of climate change, whereas adaptation looks at how to reduce the negative effects it has and how to take advantage of any opportunities thap-by-step explanation:
What is the slope of the graph?
5-(-5) please i need a answer ASAP
Answer:
10.
Step-by-step explanation:
If you're subtraction a negative number, you are basically adding a positive number. 5-(-5) = 5+5.
Hey there!
GUIDE:
2 negatives = positive
2 positives = positive
1 negative & 1 positive = negative
1 positive & 1 negative = negative
Negatives are BELOW 0 and they are to the LEFT of 0
Positives are ABOVE 0 and they are to the RIGHT of 0
ANSWERING the QUESTION
5 - (-5)
= 5 + 5
= 10
Therefore, your answer is: 10
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the slope of this graph?
Answer:
-3
Step-by-step explanation:
1. To find the slope of this line, we can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] since we're given the two points from the line.
2. (Solving)
[tex]\frac{0-6}{3-1}[/tex] [tex]\frac{-6}{2}[/tex] [tex]-3[/tex]Therefore, the slope is -3.
y = -3x + 5
y = 7 + 3(x - 2)
y = 2(x - 1) - 4
y = x - 6
determine if they represent a linear or nonlinear function.
Answer:
linear
Step-by-step explanation:
Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?
Usando un sistema de ecuaciones, se encuentra que:
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Para el sistema, considera-se que:
x es el peso de una caja grande.y is el peso de una caja pequeña.Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:
[tex]3x + 5y = 112[/tex]
Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:
[tex]6x + 2y = 118[/tex]
Simplificando por 2 :
[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]
Reemplazando en la primera ecuación:
[tex]3x + 5y = 112[/tex]
[tex]3x + 5(59 - 3x) = 112[/tex]
[tex]3x + 295 - 15x = 112[/tex]
[tex]12x = 183[/tex]
[tex]x = \frac{183}{12}[/tex]
[tex]x = 15.25[/tex]
[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Un problema similar es dado en https://brainly.com/question/24646137
g(x) = 3x + 1, evaluate g(-2).
Answer:
-5
Step-by-step explanation:
g(x)= 3x+1
g(-2)
g(-2)= 3x+1
g(-2)= 3(-2)+1= -5
3. Given: DE is a midsegment of AABC. Show all work.
a. Find the value of x and y.
b. What is the length of AC?
Answer:
x = 10
y = 1
DE = 7
AC = 14
Step-by-step explanation:
x + 2 = 24/2
x = 12 - 2
x = 10
y + 6 = x - 3
y = 10 - 3 - 6
y = 1
Match the Vocab Word to the definition.
Remember, you are allowed to use your notes to help you!
Question 1 options:
Multiply a sum by multiplying each addend separately and then adding the products.
∙a(b + c) = ab + ac
∙k(m – n) = km - kn
Part of an expression that is added or subtracted.
∙These can be a single number or a variable, or
numbers and variables multiplied together.
A letter or symbol that represents a value.
It's a number on its own, it has a fixed value.
The number in front of a variable.
1.
Distributive Property
2.
Term
3.
Variable
4.
Constant
5.
Coefficient
At Abdul’s Swimwear, 85% of the 60 swimsuit styles are bikinis. How many bikini styles are there?
What is the slope of this line?
−15
15
5
−5
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair
Step-by-step explanation:
if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).
the slope is in a line equation always the factor of x.
anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
so, we are simply going from (0, 2) to (5, 3).
x changes by +5 (from 0 to 5).
y changes by +1 (from 2 to 3).
so, the slope is y/x = 1/5.
Answer:
B. [tex]\frac{1}{5}[/tex]
Step-by-step explanation: