Answers
Answer:
1) x=14
2) n=21/8=2.625
Step-by-step explanation:
1)
So we have the equation:
[tex]\frac{x}{16}-\frac{1}{2}=\frac{3}{8}[/tex]
First, let's remove all the fractions. Multiply both sides by the LCM of 16, 2, and 8, which is 16. So:
[tex]16(\frac{x}{16}-\frac{1}{2})=16(\frac{3}{8})[/tex]
Distribute:
[tex]16(\frac{x}{16})-16(\frac{1}{2})=16(\frac{3}{8})[/tex]
Simplify:
[tex]x-8=6[/tex]
Add 8 to both sides:
[tex]x=14[/tex]
So, the value of x is 14.
2)
We have:
[tex]\frac{3n}{7}-1=\frac{1}{8}[/tex]
Again, let's remove the fractions by multiplying both sides by the LCM of 7 and 8, which is 56. So:
[tex]56(\frac{3n}{7})-56(1)=56(\frac{1}{8})[/tex]
Simplify:
[tex]24n-56=7[/tex]
Add 56 to both sides:
[tex]24n=63[/tex]
Divide both sides by 24:
[tex]n=63/24[/tex]
Reduce:
[tex]n=21/8=2.625[/tex]
And we're done!
Related Questions
Simplify 7(exponent 6) multiplied by 7 (exponent 5)
Answers
Thank you!
My favorite group, The Lumineers, is coming to Prescott and YC for a concert. Tickets are sold in three levels, $45, $65, and $95 depending on seats. The auditorium seats 1100 people total on the different levels; for them to come to YC we need to sell $66,500 worth of tickets and the auditorium has as many cheap ($45) tickets as the sum of the other two levels ($65 and $95).
Answers
Answer:
550 $45 tickets, so $24750 worth of $45 tickets
Step-by-step explanation:
If $45 tickets=x, $65=y, and $95=z, then the question is saying x=y+z. And if x+y+z=1,100, then x=1100/2, so 550 $45 tickets. 550*45 is $24750
Determine whether the equation is always, sometimes, or never true. 6(x + 1) = 2(5 + 3x)
Answers
Answer:
never true
Step-by-step explanation:
6(x + 1) = 2(5 + 3x)
distribute
6x + 6 = 10 + 6x
combine like terms by subtracting 6x and 6 from both sides
0 = 4
that is not a true statement, so this equation is never true
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomil. 3z−2 2x3+x−12 9b 9x−2
Answers
Given that:
The expressions are [tex]3z−2, 2x^3+x-12, 9b, 9x-2[/tex].
Solution:
Monomial : It contains single terms.
Binomial : It contains two terms.
Trinomial : It contains three terms.
Polynomial : It contains atleast one algebraic term.
Degree of polynomial : It is highest power of the variable.
[tex]3z-2[/tex] , here z is the variable. So, it is a polynomial with degree 1 and it is a binomial.
[tex]2x^3+x-12[/tex] , here x is the variable with highest power 3. So, it is a polynomial with degree 3 and it is a trinomial.
[tex]9b[/tex] , here b is a constant. So, it is not a polynomial and it is a monomial.
[tex]9x-2[/tex] , here x is the variable. So, it is a polynomial with degree 1 and it is a binomial.
Which represents where f(x) = g(x)?
f(2) = g(2) and fo) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)
Answers
Answer:
2
Step-by-step explanation:
hjjjjjjjiygiciyfcifycitytyx
Answer:
it would be letter c
Step-by-step explanation:
can someone pls help! is this correct?
Answers
Answer:
It's wrong
Step-by-step explanation:
Answer:yes it is correct
Step-by-step explanation:
In the expression 2x + 3, the 2 is called the A) coefficient B) power 09 product D) quotient
Answers
Answer:
D
Step-by-step explanation:
What output corresponds with I2?
Answers
Answer:
Solve for the input that corresponds to the given output value. (Round answers to three decimal places when appropriate. Enter your answers as a comma-separated list. Note: Even though the question may be completed without the use of technology, the authors intend for you to complete the activity using the technology you will be using.
Step-by-step explanation:
If f(x) = 6x – 1 and g (x) = StartFraction x + 1 Over 6 EndFraction, which expressions can be used to verify g(x) is the inverse of f(x)? Check all that apply.
Answers
Answer:
B and C
Step-by-step explanation:
Answer: B and C
Step-by-step explanation:
Light travels about 168,000 mi/s. The function d(t) = 168,000t gives the distance d(t) in miles that light travels in t seconds. How far does light travel in 44s?
Answers
Answer:
The nuclear utility environment is one of strict cost control under prescriptive regulations and increasing public scrutiny. This paper presents the results of A Total Quality approach, by a dedicated team, that addresses the need for increased on-site spent fuel storage in this environment. Innovations to spent fuel pool reracking, driven by utilities' specific technical needs and shrinking budgets, have resulted in both product improvements and lower prices. A Total Quality approach to the entire turnkey project is taken, thereby creating synergism and process efficiency in each of the major phases of the project: design and analysis, licensing, fabrication, installation and disposal. Specific technical advances and the proven quality of the team members minimizes risk to the utility and its shareholders and provides a complete, cost effective service. Proper evaluation of spent fuel storage methods and vendors requires a full understanding of currently available customer driven initiatives that reduce cost while improving quality. In all phases of a spent fuel reracking project, from new rack design and analysis through old rack disposal, the integration of diverse experts, at all levels and throughout all phases of a reracking project, better serves utility needs. This Total Quality environment in conjunction with many technical improvements results in a higher quality product at a lower cost
The prediction of minor actinides amounts accumulated in the spent fuel in China
International Nuclear Information System (INIS)
Zhou Peide
2000-01-01
The amounts of the Minor Actinides accumulated in the spent fuel are predicted according to the Nuclear Power Plant development plan envisaged in China. The Minor Actinides generated in the spent fuel unloaded from a typical PWR per year are calculated. The decay characteristics of the Minor Actinides during storage and cooling period are also calculated. At last, the Minor Actinides amounts accumulated in all spent fuel which were unloaded before sometime are given
Can anyone help with number one?
Answers
|9x - 9| = 36
To solve for the first solution, simply disregard the absolute value signs.
9x - 9 = 36
Add 9 to both sides
9x = 45
Divide both sides by 9
x = 5
To find the second solution, disregard the absolute value signs and change 36 to -36
9x - 9 = -36
Add 9 to both sides
9x = -27
Divide both sides by 9
x = -3
Now, we need to find the sum of these two solutions.
5 + (-3) = 5 - 3 = 2
The area of a rectangle is 136 square centimeters. The
rectangle is 8 centimeters wide how long is the rectangle
Answers
Answer:17
Step-by-step explanation: count 8, 17 times and that is how you get your answer
The length of the rectangle is 17 cm if the area of a rectangle is 136 square centimeters.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is given that:
The area of a rectangle is 136 square centimeters.
A = 136 square cm
w = 8 cm
A = lw
136 = 8l
l = 17 cm
Thus, the length of the rectangle is 17 cm.
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I need help with this :) (easy)
Answers
2.4x.7=1.68
3.9x.4=1.56
.9x.1=.09
.2x1.5=.3
.6x.6=.36
Answer:
Step-by-step explanation:
0.2 times 0.8 =0.16
2.4 times 0.7 = 1.68
3.9 times 0.4 = 1.56
0.9 times 0.1 = 0.09
0.2 times 1.5= 0.3
0.6 times 0.6= 0.36
pls mark brainliest
4(2-4x)-3x=65 Whats the answer and how did you solve it?
Answers
Answer:
x= -3
Step-by-step explanation:
Distribute 4(2-4x) which leaves you with 8-16x-3x=65
combine the like terms which leaves you with 8-19x=65
subtract 8 from both sides 8-19x-8=65-8 which leaves you with -19x=57
lastly divide -19 from both sides which leaves you with x= -3
Explain what a ratio is and provide two examples- Please help it would help me out a lot.
Answers
Answer:
A ratio is basically how much of one thing there is compared to another thing. They can be showed using a colon like "3:1" or using the word "to" like "3 to 1" or lastly, they can also be shown as a fraction "3/1".
2 examples:
2:5
4 to 3
5/6
need help with this question.. PLEASE HELP!
Answers
x + 84 = 4x
These are equal because they're vertical angles. Now, let's subtract x from both sides.
84 = 3x
Divide both sides by 3
28 = x
x + 84 = 28 + 84 = 112 degrees
Question: 0.4p + 1.7 < 3.3
Answers
Answer:
p < 4
Step-by-step explanation:
We are given 0.4p + 1.7 < 3.3.
We solve it like a normal equation by isolating the variable p. Subtract 1.7 from both sides:
0.4p + 1.7 - 1.7 < 3.3 - 1.7
0.4p < 1.6
Divide both sides by 0.4:
p < 1.6/0.4
p < 4
Thus, our possible solutions are p < 4.
~ an aesthetics lover
HELP ME PLEASE <33 I NEED THIS
Answers
The measure of DE = 90 degrees because its corresponding central angle = 90 degrees.
What is the value of x?
1/4x + 17 = x - 4
Please explain:
Answers
Answer:
x=28
Step-by-step explanation:
6 bakers shared 7.5 kg of flour equally. How much did each
person get?
Answers
Steps: You would need to divide 7.5 kg by the 6 bakers. 7.5➗6= 1.25.
2 is multipled by the difference of a number and 4 equation
Answers
Answer:
This is confusing.. so all ill say involving 2 and 4.
2 x 4 = 8
2 + 4 = 6
2 - 4 = 2
2 dived by 4 = 2
Decimal form:
2.4 or 4.2
Fraction form:
2/4 or 4/2
jose bought 750 bags of peanuts for $375.00. He tends to sell each bag for 0.15 more than he paid. how much he change for each bag
Answers
Answer:
$0.65
Step-by-step explanation:
Jose bought 750 bags for $375.00
Each bag cost $375/750= $0.50
He intends to sells them for $0.15 more
He should charge : $0.5 +$0.15=$0.65
Answer:
cost of 750 bags =$375
cost of 1 bag = 375/75=5
he want 0.15 more for each
so he had to sell each bag in 5 +0.15=5.15
Step-by-step explanation:
Given the midpoint and one endpoint. Find the other endpoint. B) Endpoint (-3,7), Midpoint (-1,-1)
Answers
Answer:
Step-by-step explanation:
(x - 3)/2 = -1
x - 3 = -2
x = 1
(y + 7)/2 = -1
y + 7 = -2
y = -9
(1, -9) the other endpoint
rewrite 1/4 books over 1/3 hour as a unit rate. A. 1 1/3 bookss/hour B. 1/12 books/hour C. 3/4 books/hour D. 12 books/hour
Answers
Answer:
The Answer would be option C. 3/4 books per hour
Step-by-step explanation:
You would flip 1/3 to 3/1 which makes it a whole number. then multiply
1/4 and 3.
Therefore your answer is 3/4
I hope this helped you,
y ∝ 1 √ x If y = 5 when x = 49 find, y when x = 25
Answers
Answer:
y = 1/7
Step-by-step explanation:
y ∝ 1/√x ⇒ y = k/√xy = 5, x = 49 ⇒ 5 = k/√49 ⇒ 5 = 7k ⇒ k = 5/7y = 5/(7√x) ⇒ x = 25 ⇒ y = 5/(7√25) = 5/(7·5) = 1/7The value of x is 25 then y is 7.
What is Proportionality?In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.
Given:
y ∝ 1 √ x
and, y= 5 when x= 49
So, the relation will be
y ∝ 1/√x
y = k/√x
So, 5 = k/√49
5 = k /7
k = 35
Now, k = y/ √x
35 = y √25
35 = 5y
y = 7
Hence, when x is 25 then y is 7.
Learn more about Proportionality here:
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1. How many quadrants are on the Premiere Pro Screen?
Answers
Answer:
four quadrants on the monitors: Left, Right, Top Middle and Bottom Middle.
Step-by-step explanation:
chole is baking cookies to sell in boxes of 12 cookies.if she bakes 122 cookies,calculate the number she can fill and the number of cookies that will be left over.explain your answer
Answers
Answer:
she can fill 10 boxes of 12 cookies and the the left over will be 2 cookies.
Step-by-step explanation:
first we have to find out what multiple of 12 is closest to 122 which is 12 x 10=120.
then minus 120 from 122 which gives 2 remaining cookies
What is the x-intercept of the equation below? 5x - 8y = 10 A. ( 2 , 0 ) B. ( 0 , 2 ) C. ( 0 , -5/4 ) D. ( -5/4 , 0 )
Answers
Answer:
A. ( 2 , 0 )
Step-by-step explanation:
[tex]5x - 8y = 1[/tex]
Let y = 0
[tex]5x-8(0) =10[/tex]
Multiply ; 8×0=0
[tex]5x-0=10[/tex]
Collect like terms and simplify
[tex]5x =10+0\\\\5x =10[/tex]
Divide both sides of the equation by 5
[tex]\frac{5x}{5}= \frac{10}{5}[/tex]
Simplify
[tex]x =2\\\\(2,0)[/tex]
Answer:
Yes the answer is A. I just did this.
Step-by-step explanation:
What is the product of 2x - 5 and 3x² + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) Is the product of 2x - 5 and 3x² + 5x - 7 equal to the product of 5x - 2 and 3x² + 5x - 7? Explain your answer.
Answers
Answer:
see below
Step-by-step explanation:
(a)
[tex]( 2x - 5 )(3x^{2} + 5x - 7)\\\\=2x(3x^2+5x-7)-5(3x^2+5x-7)\\\\=6x^3+10x^2-14x-15x^2-25x+35\\\\=6x^3+(10x^2-15x^2)+(-14x-25x)+35\\\\=6x^3-5x^2-39x+35[/tex]
(b)
[tex](2x-5)(3x^2+5x-7)=(5x-2)(3x^2+5x-7)\\\\\frac{1}{(3x^2+5x-7)}(2x-5)(3x^2+5x-7)= \frac{1}{(3x^2+5x-7)}(5x-2)(3x^2+5x-7)\\\\2x-5=5x-2\\\\2x-5x=-2+5\\\\-3x=3\\\\x=-1[/tex]
only happens when x=-1, not always
Evaluate 4/3
please help!
Answers
Answer:
1.33333333333
Step-by-step explanation: