Answer: We can start by using the information given to set up an equation. We know that:
a = 2,352% of (b + c)
b = 84% of c
We can express the first equation in terms of percentages by dividing both sides by 100:
a = 23.52(b + c)
We can also express the second equation in terms of percentages by dividing both sides by 100:
b = 0.84c
Now we can substitute the second equation into the first equation:
a = 23.52(0.84c + c)
a = 23.52(1.84c)
So a = 43.1184c
To find the percentage of b, we divide b by a and multiply by 100:
percentage of b = (b / a) * 100
Now we substitute values of a and b
percentage of b = (0.84c / 43.1184c) * 100
percentage of b = (0.84 / 43.1184) * 100
Which simplify to
percentage of b = 1.9425 %
Step-by-step explanation:
Solve the following expression where a=-2 b=3
-4a + 2b
Answer:
14
Step-by-step explanation:
so first our equation is: -4a+2b so a is -2 right? okay so your going to do
-4 x -2 which you get 8 (minus times minus is postive). and now for 2b: 2x3 is 6 so 6+8 is 14
2 1/2 dividesd by 3 5/8
In 8 hours, Badria reads 48 chapters of a book. What is her rate in chapters per hour?
Answer:
6chapters per hour
Step-by-step explanation:
Take 48 chapters divided by the no hrs which are 8
Anyone help me please and thanks you
:)
Answer:
71.43%
Step-by-step explanation:
100/7 = 14.29
14.29 times 5 = 71.428 rounded to 71.43
Check Understanding th
Math
Board
1 There are 46 swimmers and 7 lanes. The same number of
swimmers will go in each lane. Any remaining swimmers will
practice diving. How many swimmers will each lane have?
• Write a division equation to model the problem.
• Use the space at the right to show how you can use
repeated subtraction to solve.
Each lane will have ______
Module 6 Lesson 5
swimmers.
Answer: To model the problem with a division equation, we can write 46 ÷ 7 = x, where x represents the number of swimmers that each lane will have.
To solve the equation using repeated subtraction, we can subtract 7 from 46 several times until we reach a number that is less than 7. The number of times we subtract 7 will give us the number of swimmers each lane will have. Here's one way to do it:
46 - 7 = 39
39 - 7 = 32
32 - 7 = 25
25 - 7 = 18
18 - 7 = 11
11 - 7 = 4
As you can see, we are able to subtract 7 from 46 a total of 6 times before we get a number less than 7. This means that each lane will have 6 swimmers, and the remaining 4 swimmers will practice diving. So each lane will have 6 swimmers.
So the equation 46 ÷ 7 = 6, and also by repeated subtraction method it shows the same result of 6 swimmers each lane.
Step-by-step explanation:
A kite is flying 95 feet off the ground in a string is pulled toward the angle of elevation of the kite is 40° find the length of the string.
Answer:
It is 127.5 feetStep-by-step explanation:
[tex] \sin(40) = \frac{95}{x} \\ x = \frac{95}{ \sin(40) } \\ x = 127.5 \: feet[/tex]
I hope that is useful for you :)
show that x^4-1=0 has four solutions
Step-by-step explanation:
Why can't I plus x² to each side of the inequality x²+4x > -x² ?
(Note: one adds things; one does not plus them.)
You can easily add x² to both sides here:
(x² + 4x) + x² > (-x²) + x², or
2x² + 4x > 0, or
x² + 2x > 0, or
x(x + 2) > 0.
For this to be true, x > 0 and x+2 > 0; or else x < 0 and x+2 < 0.
Case 1: x > 0 and x+2 > 0.
Rewrite this as x > 0 and x > -2.
This is true for all x > 0.
Case 2: x < 0 and x+2 < 0.
Rewrite this as x < 0 and x < -2.
This is true for all x < -2.
The solution set for the inequality, in interval notation, is then (-∞,-2) ∪ (0,∞).
done its a good question btw ....
Help please! How do I write an equation in standard form using the information on the graph?
Answer:
3x -y = 2
Step-by-step explanation:
You want a standard form equation for the line through the points (0, -2) and (2, 4).
SlopeThe slope of the line is the "rise" divided by the "run". The given point on the right is 3 grid squares above the one on the left. It is one grid square to the right. So, the slope is ...
m = (squares above)/(squares to the right) = 3/1 = 3
If we consider the actual x- and y-values represented by these grid squares, then the slope is ...
m = (4 -(-2))/(2 -0) = 6/2 = 3
InterceptThe point (0, -2) tells you the y-intercept is -2. That is where the line crosses the y-axis.
Slope-intercept equationWith this information, we can write the slope-intercept form equation for the line:
y = mx +b . . . . . . . line with slope m and y-intercept b
y = 3x -2 . . . . . . . . line with slope 3 and y-intercept -2
Standard formThe standard form of an equation for a line is ...
ax +by = c
where a, b, c are generally mutually-prime integers with a ≥ 0. If a=0, then b > 0.
We can rearrange the slope-intercept equation to put it into this form.
y = 3x -2
3x -y -2 = 0 . . . . . subtract y
3x -y = 2 . . . . . . . add 2. This is the standard-form equation of the line.
3. A table has a length of 3.4 meters and a width of 1.5 meters. Mang Jose painted the to portion approximately 3.75 m². What was the area left unpainted?
A. 5.1 m²
B. 3.75 m²
C. 5.2 m²
D. 1.35 m²
4. A trapezoidal piece of land having 998.50 m2 area is to be sharedby the two brothers Alex and Ben. Alex in his desire wants to have a square lot having 18.6 m² side. How big is Ben's share?
A. 652.54 m²
B. 345.96 m²
C. 862.5 m²
D. 900.1 m²
5. Find the area of a circular pool whose radius is 2 meters.
A. 12.56 m²
B. 15. 65 m²
C. 18.9 m²
D. 22,45 m²
Answer:
#3
What was the area left unpainted?
3.4*1.5 - 3.75 = 1.35 m²Option D
#4
How big is Ben's share?
998.50 - 18.6² = 652.54 m²Option A
#5
The area of a circular pool whose radius is 2 m:
A = π² = 3.14*2² = 12.56 m²Option A
Barrett is comparing the membership fees for two museums. The art museum charges a one-time fee of $8.25 plus $2.25 per month. The science museum charges a one-time fee of $10.75 plus $3.50 per month. How much does Barrett save by joining the art museum instead of the science museum? Enter your answers in the boxes.
(blank) $ + (blank) $ m put answers in blanks
Barrett saves by joining the art museum instead of science museum is $2.50 plus $1.25 per month.
What is concept of savings?Saving money is one of the essential aspects of building wealth and having a secure financial future. Saving money gives you a way out of the uncertainties of life and provides you with an opportunity to enjoy a quality life.Savings represents an individual's unspent earnings. It is the amount that remains after meeting the household expenses.
What are benefits of membership?Member benefits are the perks, services, and access that members receive as part of their membership. In other words they are what members get in exchange for joining the organization and if applicable, paying member dues.
Now we have
Fee charged by science museum= $10.75
Fee charged by art museum =$8.25
Now by subtracting he saves =$2.50
Again
he saves =amount charged by science - amount charged by arts
= $3.50 -$2.25
= $1.25
In the results he saves $2.50 +$1.25 per month.
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step bye step problem
Answer:
D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Drag each graph to show if the given data has a positive correlation, a negative correlation, or no correlation.
The solution is:
the first graph is positive correlation
The second is No correlation
The third is positive correlation
The fourth is negative correlation.
Here, we have,
each correlation would mean:
A positive correlation : As one variable increases, so does the other
In other words, the line would be going 'up'
A negative correlation : As one variable increases, the other decreases
In other words, the line would be going 'down'
No correlation : there is no connection between the two
In a visual way, you won't be able to see a 'line'.
so, from the given graph we get,
Therefore, the first graph is positive correlation
The second is No correlation
The third is positive correlation
The fourth is negative correlation.
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What is the common denominator of y + StartFraction y minus 3 Over 3 EndFraction in the complex fraction y + StartFraction y minus 3 Over 3 EndFraction divided by five-ninths + StartFraction 2 Over 3 y EndFraction?
The common denominator of the given expression is 5y+6.
What is division?Division is the process of splitting a number or an amount into equal parts.
here, we have,
Given expression,
(y+(y-3)/3)/(5/9+2/3y)
We have to find the common denominator.
On solving the numerator and denominator of the given expression,
=3y(4y-3)/5y+6
Hence the common denominator of the above expression is given by 5y+6
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The numbers 1 through 20 printed on a lottery ticket. A player circles three numbers. At the official lottery drawing, balls with the numbers 1 through 20 are randomized in an urn. Three balls are drawn at random, one at a time without replacement. The player wins if the circled numbers match the three numbers drawn from the urn. What is the probability that the player wins?
Answer:
The answer is "0.00088"
Step-by-step explanation:
Many ways of selecting r articles of n,[tex]\to ^nC_r = \frac{n!}{(r! \times (n-r)!)}[/tex]
P(wins the player) = [tex]\frac{1}{\text{Any combinations of possible numbers}}[/tex]
[tex]= \frac{1}{^{20} C_3}\\\\[/tex]
[tex]= \frac{1}{\frac{20!}{(3!\times 17!)}}\\\\= \frac{1}{1140}\\\\= 0.00088[/tex]
Edgar accumulated $1,000 in credit card debt. If the interest is 10% per year and he does not make any payments for 4 years, how much will he owe on this debt in 4 years by compounding continuously?
Provide your answer below:
A= $ __
Y= 25x + 115
What is the rate of change and what does it represent?
Answer:
Step-by-step explanation:
y= 265
The rate of change of the equation is 25.
The rate at which one quantity changes in relation to another quantity is known as the rate of change function. Simply put, the rate of change is calculated by dividing the amount of change in one item by the corresponding amount of change in another.
Given that the linear equation is y = 25x + 115. The rate of change of the equation is represented by the slope or gradient of the equation of the line.
Here in the equation y = 25x + 115 the rate of change is 25. Which is equivalent to the slope of the line.
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Which option best describes the polynomial?
4x^6+6x^2-1
1. second degree polynomial with two terms
2. sixth degree polynomial with three terms
3. fourth degree polynomial with two terms
4. third degree polynomial with three terms
A rectangular prism had a volume of 198 cubic centimeters. The height of this prism was changed
from 3 centimeters to 6 cm to create a new rectangular prism. The other dimensions stayed the
same. What is the volume of this new prism?
Answer:
(C) 369 cm
Step-by-step explanation:
because i got it right :D
Question 2(Multiple Choice Worth 5 points)
(Two-Step Linear Inequalities MC)
Find c for the inequality three fifths times c plus 7 is less than or equal to two fifths.
c ≤ −11
c ≥ −11
c ≤ −5
c ≥ −5
The value of c obtained from the linear inequality (3/5)·c + 7 ≤ 2/5 is the option;
c ≤ -11
What is an inequality?An inequality is a (non equal) comparison between two expressions that have different values.
The specified inequality can be expressed as follows;
[tex]\dfrac{3}{5} \times c + 7 \leq \dfrac{2}{5}[/tex]
Simplifying the above inequality by subtracting 7 from both sides, we get;
[tex]\dfrac{3}{5} \times c + 7 - 7 \leq \dfrac{2}{5} - 7[/tex]
Evaluating and simplifying the right hand side into a fraction, we get;
[tex]\dfrac{3}{5} \times c + 0 \leq \dfrac{2}{5} - 7 = \dfrac{2 - 35}{5} = \dfrac{-33}{5}[/tex]
[tex]\dfrac{3}{5} \times c \leq \dfrac{-33}{5}[/tex]
Multiplying both sides by 5, we get;
[tex]5\times \dfrac{3}{5} \times c \leq 5 \times \dfrac{-33}{5}[/tex]
[tex]\dfrac{5}{5} = 1[/tex], therefore;
3·c ≤ -33
Dividing both sides of the above inequality by 3, we get;
3·c ÷ 3 ≤ -33 ÷ 3
c ≤ -11
The correct option is; c ≤ -11
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A certain type of fertilizer contains 8% nitrogen. If 2 kilograms of nitrogen are needed to fertilize a lawn, how many kilograms of fertilizer are needed?
25 kilograms of fertilizer would be needed to fertilize the lawn.
what is the percentage?In essence, percentages are fractions with 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage.
given, A certain type of fertilizer contains 8 percent of nitrogen. If 2 kilograms of nitrogen are needed to fertilize a lawn.
Since fertilizer contain 8% nitrogen in it
thus for 80 grams of nitrogen = 1 kg of fertilizer
for 1 gram of nitrogen = 1/80 kg fertilizer
for 2000 gram of nitrogen = (1/80)* 2000 kg fertilizer
for 2 kilograms of nitrogen = 25 kg fertilizer
therefore, To fertilize the yard, 25 kg of fertilizer would be required.
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A deck of cards ..something I don't get ..Please help
=======================================================
Explanation:
I'm assuming your teacher meant to say "same number or letter" instead of "same number of letter" at the very end of the problem.
The best case scenario is that the person selecting the cards is very lucky to select say a king of hearts and king of clubs. This shows that 2 cards is the lowest amount of cards to select here.
----------
Of course, such a scenario is not that likely. That person is likely to get some other card compared to the 1st selection.
Let's assume the person selecting the cards has the worst luck possible. This means they select each card 1,2,3,...,10,J,Q,K exactly once in any order. If this happens, then the person does not have any pairs just yet. The person has selected 13 cards so far with this worst case scenario.
The 14th card is guaranteed to pair up with some other card previously chosen. There simply aren't any other options left once you've exhausted all possibilities. See the pigeonhole principle for more information.
So this is why you would need to select 14 cards to guarantee having at least two pair up together (i.e. you would have 2 or more pairs).
Use the figure to answer the question,
Triangle ABC is similar to triangle ABC.
B
Which series of transformations shows that ABC is similar to ABC1
A. Reflect ABC across line I and translate 2 units right.
B. Reflect ABC across line I and translate 6 units up
C. Reflect ABC across line I and dilate from point A by a factor of 2.
D. Reflect ABC across line I and dilate from point A by a factor of
On solving the provided question, we cans ay that - here in triangles, triangle ABC is congruent to triangle A`B`C`
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
Here,
two triangles are there
triangle ABC and triangle A`B`C`
AB =A`B`
BC = B`C`
AC =A`C`
So, by sss property
both are congruent
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Pls help with my math
This is the hard question for me
Thnx
8. Find the cos(C).
.
5
13
1
C. 12.
5
b. 12.
0
26
13
d. 13
5
Answer:
A. 5/13
Step-by-step explanation:
Cos is the adjacent side/hypotenuse
Cos C = 10/26 = 5/13
If 1 day equals 1 hour, what does 1 year equal?
1 day = 1 hour
1 year = 365 days
365 x 1 = 365
= 365 hours
Answer:
if one day equals one hour then a year is equal to 365 hours
PLEASE HELP-30 PTS-WILL MARK BRAINLIEST
Determine whether the table expresses the second variable as a function of the first variable.
x y
–5 6
–2 7
–5 –10
–1 –8
Choose the expression which represents the phrase, “the sum of 12 and a number H”
Answer:
the correct answer is option C
Answer:
Hello There!!
Step-by-step explanation:
The answer is c. 12+h as sum means adding 12 and then with h.
hope this helps,have a great day!!
~Pinky~
Martin is paid an hourly rate of d dollars per hour for the first 40 he works per week. for each hour he works in excess of 40 per week Martin was paid 770 for working 50 hours in one week, which equation can be
A cone has a diameter of 7.5 ft and a height of 4.25 ft. What is the volume of the cone to the nearest tenth? Use 3.14 for π.
Answer:
5,024 ft³
Step-by-step explanation:
I took the k12 quiz
Between 2020 and 2021, the population of a city increased by 20% In 2021, the population of the city was 420 000. What was the population of the city in 2020?
Answer:
350,000.00
Step-by-step explanation:
420,000.00 - 20% = 350,000.00
Increase percentage: 70,000.00