1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x
1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x
2) The equation will be; y = ²/₃ +¹/₄x
How to solve Algebraic Word Problems?1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;
The addition of both gives to the book thickness of;
1/4 + 1/4 = 1/2 inch, despite how many pages the book has.
We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:
y = ¹/₂ + ¹/₄x
where;
y is the width of the book in inches.
x is every hundred pages printed on bond paper.
1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;
y = ¹/₂ + ²/₅x
2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;
y = 2(1/3) +¹/₄x
y = ²/₃ +¹/₄x
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Solve the equation.
3(x−9)=30
Answer:
x = 19
Step-by-step explanation:
3(x - 9) = 30
Divide both sides by 3 to isolate the binomial.
x - 9 = 10
Add 9 to both sides to isolate x.
x = 19
Check your answer by plugging x = 19 back into the equation.
3(x - 9) = 30
3(19 - 9) = 30
Subtract.
3(10) = 30
Multiply.
30 = 30
Your answer is correct.
Hope this helps!
Answer:
x = 19
Step-by-step explanation:
First, we must distribute 3(x-9) = 30
[tex]3x - 27 = 30[/tex]
Now, that we've distributed this equation, we can proceed.
Secondly, since there is a subtraction sign in front of 27, we must do the opposite, addition.
Add 27 to 27 and 30:
[tex]3x - 27 = 30[/tex]
[tex]-27 + 27 = 0[/tex]
[tex]30 + 27 = 57[/tex]
Furthermore, -27 + 27 is 0, so it cancels itself out. Also, since we added 30 and 27 and got 57, replace 30 with 57.
[tex]3x = 57[/tex]
Lastly, divide 57 by the number in front of coefficient, 3.
[tex]57/3=19[/tex]
Therefore, [tex]x=19.[/tex]
**TO MAKE THIS MORE UNDERSTANDING, THIS IS HOW YOUR EQUATION SHOULD LOOK WHILE SOLVING**
Helppp can’t figure this one out
Answer:
x = 5.9
Step-by-step explanation:
Reference angle = 26°
Opposite = x
Adjacent = 12
Apply TO A:
Tan 26 = Opp/Adj
Substitute
Tan 26 = x/12
Multiply both sides by 12
12*Tan 26 = x
5.85279107 = x
x = 5.9 (nearest tenth)
What is the mode of the quiz scores 2?3?4?5?
Answer:
2
Step-by-step explanation:
Frequency means the number of times the number appears.
2 appears the most since its frequency is the largest. 2 appeared 5 times.
Answer:
To find the mode, you have to find the number that appears the most.
Here, I see that 2 appears the most.
2 is the mode.
Step-by-step explanation:
There are a lot of lazy students.
I hope you are not one of them!
The sum of two numbers is 210 and their difference is 30. What are the two numbers?
Answer:
120 and 90
Step-by-step explanation:
let one number be x and the other y
x + y = 210 (sum = 210)
x - y = 30 (difference = 30)
add the two equations together
2x = 240
divide both sides by 2 to isolate x
x = 120
plug into 1st equation
120 + y = 210
subtract 120 from both sides
y = 90
We take the 2 numbers as 'x' and 'x-30' in order to find those numbers
We plug the values into the given equation
[tex]x + x - 30 = 210\\2x - 30 = 210\\\\2x = 240\\x = \frac{240}{2} \\x = 120\\x - 30 = 120 - 30 = 90\\[/tex]
[tex]120 - 90 = 30[/tex]
Hence , the two numbers are 120 and 90
Ques below: please answer that
An ice cream store offers waffle cones or sugar cones. Each is equally likely to be chosen.
Which of the following models could be used to simulate this situation?
(HINT: Choose the model with the same number of possible outcomes as cone choices.)
Group of answer choices
A rolling a 6-sided number cube
B spinning a spinner with 3 equal sections
C flipping a coin
D using a random number generator that generates numbers 1 through 9
Answer:
C
Step-by-step explanation:
hopes it helps you!
Answer:
Flipping a coin
Step-by-step explanation:
It is the best answer, because the other choices do not represent a 50% chance. Rolling a 6-sided number cube would be good if you had 6 things, spinning a spinner would be ideal for 3, and using a number generator would be good for 9 things.
The total weight of 15 bags of groceries is 45 pounds. If each bag weighs the same amount, how much would 7 bags of groceries weigh?
Approximate the solutions to this system. y=3x^2+x-6
y=x-4
Round your answer to the nearest hundredth.
in last weeks volleyball game Ashley served 15 times and made 2 errors. What was her serving percentage? (what percent did she serve it in?
What is the following difference?
2ab(√/192ab²)-5[√/81a¹b³
O-3ab √3ab²
O 18ab² (2/3a)-45a2b² (2√3b)
0-7ab(2√3ab²)
O
8ab(√3ab²-15ab² (2√3ab)
Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)
what are expressions ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.
given
Rewrite the above expression as:
[tex]2ab\sqrt[3]{3*4^{3} *ab^{2} } - 5\sqrt[3]{3*3^{3} * a^{4}b^{5} }[/tex]
Evaluate the cube roots
[tex]2ab {4\sqrt[3]{3ab^{2} } } - 5 {3ab\sqrt[3]{3ab^{2} }[/tex]
Evaluate the differences
-7ab(2√3ab²)
Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)
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A cone has a radius of 7cm and a height of 12 cm. Find the volume
Answer:
615.75m cubed
Step-by-step explanation:
mr.jim would like to plant carrots all around base of the fence surrounding his square feet. the area of his garden is 100 sq feet. in feet what is tje perimeter
Which expression results in a rational number?
Answer:
3
Step-by-step explanation:
It equal .4, which is rational because it doesn't repeat.
Answer:
3
Step-by-step explanation:
What is 20 minus 2 equal?
Answer:
18
Step-by-step explanation:
20-2=18
please brainiest
its 18
------------------
bye! <3
A jar contains 6 blue gumballs, 4 yellow gumballs, and 8 red gumballs. What is the probability of choosing a yellow gumball and then a red gumball if the first gumball is placed back into the jar before the second is chosen?
Answer:
2/9 or 22.22% and 4/9 or 44.44%
Step-by-step explanation:
6+4+8=18 4/18=2/9 8/18=4/9
dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. What is his gross monthly earinings for february?
The gross monthly earnings for February will be $1012.2
How to illustrate the expression?It should be noted that gross monthly earnings simply means the earnings that an individual makes for a particular month.
In this case, Dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. His gross monthly earnings for February will be:
= ($200 × 4) + (4.1% × $5175.50)
= $1012.2
Therefore, $1012.2 will be the earnings.
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100 POINTS TO WHOEVER ANSWERS CORRECT
if you could ask any 2 questions about a 5th degree polynomial function what would they be and why. HURRY
Answer:
Why is there no general symmetry?
Does it always take six points or six pieces of information to describe a quintic function?
Why are the roots not solvable by radicals?
I really don't know the "why", I just steer away from them when I can.
Lena sells two types of fidget toys. The price for each fidget toy A is x and the price for each Fidget B is y. Write an equation that will let her earn a profit of $3500 if she sells 20 of Fidget A and 60 of Fidget B
Answer:
3500 = 20x + 60y
Step-by-step explanation:
Its just the answer
A diver made 6 dives in 30 days. At this rate how many dives did the diver make in 50 days?
HELP IM GIVING BRAINLIEST!!!! :))
This is worth half of my grade
Answer:
[tex]y = 8 - 8\sin(2x) [/tex]
Match the parametric equations with the correct graph.
x=t cos (t), y=t, z=t sin(t), t ≥ 0
The given parametric equation represents the graph mentioned in Option A.
What is the parametric equation?A parametric equation is defined as a kind of equation that inherit an independent variable called a parameter, and where dependent variables are defined as continuous functions of the parameter.
here,
For equation, x = t cos (t), y = t, z = t sin(t), t ≥ 0.
Since,
x² + y² = t²cos²(t) + t² sin²t
x² + y² = t²
x² + y² = z²
Here, the x-z cross-section of the curve is a circle. But as t accumulates, the radius of the circle also advances in the y direction, and those circular cross-sections extend as the value of the parameter t increase.
The curve will draft as circles in x-z planes while moving towards y direction and also the radius of those circular cross sections increases at the same rate as its advancement towards y direction.
Thus, the given parametric equation represents the graph mentioned in Option A.
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In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students
who do not have any siblings. What is the probability that a student chosen randomly
from the class has a brother and a sister?
HELPPPPPP
Find the 27th term of a sequence where the first term is – 7
and the common difference is 7.
Sara had 222 dollars to spend on 9 books after buying then she had 15 dollars how much did each book cost
Answer:
Each book cost 222 - 15 = 207 / 9 = 22.88 dollars.
Jason bought 3/4 of jelly beans for $12.60 how much would a pound cost Jason
Beverly Hobbs earns $683 a week she is single and claims 2 allowances what amount is withheld weekly for federal income tax
Therefore, $52.25 is the answer to the inquiry about what percentage of a person's income is withheld each week for federal income tax.
What is percentage?A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.
Here,
The Federal Insurance Contribution Act is the American legislative framework in use here, and it contains the criteria and guidelines that are utilized to determine payroll taxes on an employee's paychecks. The social security and Medicare programs are funded through taxation, which is paid by both employers and employees.
The amount of federal income tax deducted from the weekly cheque is:
6.2% from Social Security plus 1.45% from Medicare.
= 7.5 percent of the weekly gross salary.
The amount of federal income tax withheld each week from Beverly Hibbs's $683.00 weekly salary is:
= 0.0765 × 683
= $52.25
Therefore, $52.25 is the answer to the inquiry about what proportion of a person's income is withheld each week for federal income tax.
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At a local shop Sissi spends one third of her money on milk and two fifths of her money on bread and a one ninth on a lolipop
(A) what fraction of Sissi's money did she spend in the local shop?
(B) what fraction of Sissi's money does she have left?
Answer:
the answer for a is 38 over 45 that is the total fraction of her money that she spent in the local shop for b the answer is 7/45
This came about as for a when we added the total number of expenditures that CeCe had made that is 1/3 + 2/5 + 1/9 and that is 38/45 so that is the fraction of money that she said that she spent in the local shop.
as for b it said what fraction of sissies money does she have left and we know that the total fraction is 38 over 45 and we are going to subtract it from 1.
and that will give us 7/45
identify the part of following expression 4x-2y + 6/ 2x
Coefficients:
Constants:
Variable Terms:
Like Terms:
identification of the expression 4x- 2y + 6 = 2x is
Coefficient: 4, -2, 2Constant: 6Variable term: 4x, -2yLike terms: 4x and 2xWhat is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, a linear expression 4x-2y + 6 = 2x
Coefficient:
Coefficients are the numbers by which the variables in an equation are multiplied
Thus, the Coefficient terms for this equation = 4x, -2y, 2x
Constants:
the constant is the part of the expression that does not vary with the value of x and y.
Thus, constant terms for this equation = 6
variable terms:
These are the terms that vary at the different values of x and y.
Thus, variable terms for this equation = 4x, -2y
Like terms:
Terms that have identical variable parts (same variable(s) and same exponent(s))
thus, Like terms for this expression = 4x, 2x
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Which of the following equations expresses the
relationship between x and y in the table below?
A y = 10x + 1
B. y = 2x - 1
C. y = -x + 45
D. y = -3x + 53
E. y = -7x + 81
Answer:
D
Step-by-step explanation:
ummm.....
PLEASE HELP ITS DUE TOMORROW maths
Answer:
Average speed: 698 kmh^-1
Step-by-step explanation:
In 1440 earth days, there are 34560 hours (1440 × 24)
Solving for the average speed, km/h
[tex]\frac{24~130000km}{3450hr}[/tex] ≈ [tex]698.21 km[/tex]
so, the average speed is [tex]698 kmh^{-1}[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!