Answer:
I have a solution.
Step-by-step explanation:
(2n+12) and 3n+18
=2n+12=3n+18
=2n+3n=12+18
=5n=30
=n=30÷5
=n=6
therefore,x=n=6
Miko has a vast collection of books in her library. English books make up
3
8
of her collection.
5
7
of the remaining books are Chinese books and the rest are German books. How many books are there in her book collection if there are 75 Chinese books?
Answer:
168 books
Step-by-step explanation:
Given
[tex]English = \frac{3}{8}[/tex]
[tex]Chinese = \frac{5}{7}[/tex] of the remaining books
Required
Determine the total number of books
If the proportion of the English books is 3/8, the the remaining is:
[tex]Remaining = 1 - English[/tex]
[tex]Remaining = 1 - \frac{3}{8}[/tex]
Take LCM
[tex]Remaining = \frac{8 - 3}{8}[/tex]
[tex]Remaining = \frac{5}{8}[/tex]
From the question, we understand that:
[tex]Chinese = \frac{5}{7}[/tex] of the remaining books
This means:
[tex]Chinese = \frac{5}{7} * \frac{5}{8}[/tex]
[tex]Chinese = \frac{5*5}{7*8}[/tex]
[tex]Chinese = \frac{25}{56}[/tex]
From the question, we also understand that 75 are Chinese books.
The total number of books can then be calculated using:
[tex]Chinese = \frac{25}{56} * Total[/tex]
Substitute 75 for Chinese
[tex]75 = \frac{25}{56} * Total[/tex]
Make Total the subject:
[tex]Total = \frac{56 * 75}{25}[/tex]
[tex]Total = \frac{4200}{25}[/tex]
[tex]Total = 168[/tex]
There are 168 books are there in her book collection if there are 75 Chinese books.
Given
Miko has a vast collection of books in her library.
English books = 3/8
Chinese books = 5/7.
Ratio proportion;A ratio is a comparison of two or more numbers that indicates their quantities in relation to each other.
The proportion of the English books is 3/8, the remaining is:
[tex]\rm Remaining\ books=1-\dfrac{3}{8}\\ \\ Remaining\ books=\dfrac{8-3}{8}\\\\ Remaining\ books=\dfrac{5}{8}[/tex]
Then,
Chines books = ratio of Chinese book × ratio of remaining books × Total books
[tex]\rm 75=\dfrac{5}{7}\times \dfrac{5}{8}\times Total \ books\\\\Total \ books =\dfrac{75 \times 7\times 8}{5\times 5}\\\\Total \ books =3\times 56\\\\Total \ books=168\\[/tex]
Hence, there are 168 books are there in her book collection if there are 75 Chinese books.
To know more about proportion click the link given below.
https://brainly.com/question/12674321
A van traveled 242 km at a speed of 55 km/h. How long did it travel?
Answer:
Your answer would be 4 hrs and 24 minutes for how long the van traveled
Step-by-step explanation:
A radio DJ frequently announces how much money is currently in a jackpot. Every day several randomly selected residents are called and asked to identify the amount, and thereby win it. Those who keep track of the jackpot amount are most likely to be reinforced on a __________ schedule.
Answer:
"Variable interval" is the right solution.
Step-by-step explanation:
A variable-interval timetable seems to be a fiber-reinforced routine where another sensitivity or reaction would be commended because an unanticipated or unstable transaction has taken place, which would be the exact reverse of either a fixed-interval routine. The whole such schedule results in a slow or predictable, fairly constant targeted respondents.Joe made $42 in 6 hours. How many hours would he have to work to make $56? (Do not solve)
Answer:
42 dollars for 6 hrs means that each hour, he gets 7 dollars, assuming that this is a proportional relationship.
56-42=14, he needs 14 more dollars
14/7=2
2 more hrs
Step-by-step explanation:
Factoring
a. 35x+49y
b. 77x-56y
Answer:
a. 7 ( 5 x + 7 y )
b.7 ( 11 x − 8 y )
Step-by-step explanation:
im pretty sure that this is correct and hope it helps!
What is the perpendicular slope of m=0?
Answer: The slope of a line perpendicular to a line with a slope of 0 is undefined. The perpendicular line is a vertical line. A line with a slope of 0 is a horizontal line.
Step-by-step explanation:
(-4f + 9) - (8f + 9) =
Math pls help
Answer:
[tex]-12f[/tex]
Step-by-step explanation:
First, expand the equations with the distributive property. [tex](-4f+9)[/tex] becomes [tex]-4f+9[/tex]. [tex]-(8f+9)[/tex] becomes [tex]-8f-9[/tex]. Now create the expanded version of the equation, [tex]-4f+9-8f-9[/tex]. This becomes [tex]-12f[/tex].
If there are 22 students in a class and each student makes 4 posters how many posters will the class make
Answer:
88 is the answer 22 × 4 =88
Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s radius r 35 kilometers arc length s 85
Answer:
Step-by-step explanation:
s=rtheta
s/r=theta
11.5/25=theta
theta=.46
Two similar triangles are show below:
Answer:
Third one!! I thinkk number 3
3 ounces of 1/4 of the package of sunflower seeds. How many ounces of sunflower seeds are in the whole package? Show or explain your reasoning.
Answer:
12 oz.
Step-by-step explanation:
I'm not 100% sure what you mean exactly, but I'll answer as well as can. So since 3 ounces makes up 1/4 of the bag, to find what the whole bag would be, we'd just have to take 3 x 4, which means there are 12 oz. in a bag.
What is one third time two hundred twenty two?
Answer:
74
Step-by-step explanation:
how to cut one pice of paper into three exact circles
Answer:
Use a math compass and cut out the circle
Answer:
Concept: Area
Assuming you have a 8.5 inch × 11 inch sheet of paper. You will have to divide all by 3!!!10 points + brainly!!!
Answer:
The number of fours divided by the total number of possibilities. If there are two fours and 8 spaces, the probability is 2/8 = 1/4.
Step-by-step explanation:
Can someone help me?
Answer:
12xe=d
Step-by-step explanation:
PLEASE HELP ME ILL GOVE BRAINLY OR WHATEVER
?
What is the y-intercept of f(x) =(1/4)^x
a. (0,1)
b. (0,0)
c. (1,0)
d. (1, 1/4)
Answer:
(0,1)
Step-by-step explanation:
i recommend if you ever need a faster answer use desmos!
Use the Table below to find the Average Rate of Change from x = -2 to x = 1. Show your work for full credit.
x f(x)
-3 0
-2 3
-1 4
0 3
1 0
Answer:
We conclude that:
The average rate = -1
Step-by-step explanation:
We need to find the Average Rate of Change from x = -2 to x = 1.
From the table it is clear that:
at x₁ = -2, f(x₁) = 3
at x₂ = 1, f(x₂) = 0
The formula to determine the average rate of change from x = -2 to x = 1.
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [0 - 3] / [1-(-2)]
= -3 / 3
= -1
Therefore, we conclude that:
The average rate = -1
Eight less than the product of a number n and 1/4 is no more than 98
Answer:
1/4n-8<98, make sure to put the line up under the inequality sign
helpppppzzzz
1 HOUR LEFT
1. y = x - 1
y = -x + 1
Answer:
hdbjjvdskj djjvdvbkhhbvhj s
Step-by-step explanation:
Can u guys help me please I need a correct answer
Answer:
4 4/7
Step-by-step explanation:
You multiply the n by 7 first because you are cross multiplying. So it would be 7n = 32.
So to simplify you would divide 32 by 7 to get n= 4 4/7
4 4/7 is a mixed number 4 is the whole and 4/7 is the fraction just to clarify
Or as a fraction it would be 32/7
Which is the equation of the parabola?
y = −one eighth(x + 3)2 + 2
y = one eighth(x − 3)2 − 2
y = one eighth(x + 2)2 + 3
y = −one eighth(x − 2)2 − 3
The equation that represents the given parabola is -
[tex]$y=\left(-\frac{1}{\left(8\right)}\right)\left(x-3\right)^{2} - 2[/tex]
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a graph showing a parabola.
Refer tot the graph attached. It shows a step by step process of how the general function of a parabola : y = x² is modified step by step to give the resulting graph. The graph shown in the image is given by equation -
[tex]$y\ +2=\left(-\frac{1}{\left(8\right)}\right)\left(x-3\right)^{2}[/tex]
Therefore, the equation that represents the given parabola is -
[tex]$y=\left(-\frac{1}{\left(8\right)}\right)\left(x-3\right)^{2} - 2[/tex]
To solve more questions on functions, expressions and polynomials, visit the link below -
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A triangle has sides with lengths of 8 miles, 15 miles, and 18 miles. Is it a right triangle?
Answer:
No
Step-by-step explanation:
for it to be a right triangle, a² + b² = c². C must be the larger of the 3 sides, which in this case is 18. if you substitute 8 for a and 15 for b, you do not get C = 18, meaning that this is not a right triangle
21 X 372
Try to find the answer
Answer:
7812 is what i got
Answer:
7812
Step-by-step explanation:
brainliest plzzzzzz
Which of the following is an irrational number
Answer:
D) any number that isn't a perfect square is irrational
Step-by-step explanation:
Answer:
D PLEASE MARK BRANLIEST
50 POINTS!!
What is the cost of a $1,200 washing machine after a discount of 1/5 off the original price??
use the given function F(x)= 0.08x+4.02 to evaluate the values below
a) f (12.6) =
b) f (-1.09) =
I am really stuck it would mean the world if you could help :)
Step-by-step explanation:
Substituting value of x in the equation we get the answers.
The required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function is given in the question as:
F(x) = 0.08x + 4.02
We have to evaluate the values F(12.6) and F(-1.09) for given function.
As per the question, we have
F(x) = 0.08x + 4.02 ....(i)
For evaluate the value F(12.6),
Substitute the value of x = 12.6 in the given function,
F(12.6) = 0.08(12.6) + 4.02
F(12.6) = 1.008 + 4.02
F(12.6) = 5.028
For evaluate the value F(-1.09),
Substitute the value of x = -1.09 in the given function,
F(-1.09) = 0.08(-1.09) + 4.02
F(-1.09) = -0.0872 + 4.02
F(-1.09) = 3.9328
Thus, the required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
Learn more about the function here:
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he label on a juice carton says there are 50 calories in a 4-ounce serving of juice.
Arthur drinks 12 ounces of juice.
How many calories will he consume?
48 calories
58 calories
150 calories
200 calories
Answer:
Step-by-step explanation:
150
A roll of fabric was 132 inches long.A customer bought 2 feet of fabric. How many feet of fabric were remaining?
Answer:
9 FEET
Step-by-step explanation:
YOU CONVERT THE INCHES TO FEET THEN SUBTRACT THE 2 FEET YOU GET 9 FEET
when Larissa's watch is fully charged, it can last for up to 20 hours before running out of battery. It has been 12 hours since Larissa's watch was fully charged. Write an inequality to describe the situation, then complete the sentence
Answer:
x + 12 ≤ 20 x=8
Step-by-step explanation:
Since Larissa is able to use it up for 20 hours and she has been using it for 12 hours now so add 12 with 12 and 20 with 12 then subtract the sum from the added numbers and you will get 8
So Larissa has 8 hours left on her watch before it needs to charge
