Ninety-six percent of the newcomers caviled every time an event was announced. If 140 newcomers did not cavil, how many newcomers were there?
Answers
Given:
a.) Ninety-six percent of the newcomers caviled every time an event was announced.
b.) If 140 newcomers did not cavil.
Let's determine how many newcomers were there,
\(\text{ Percentage of newcomers who caviled = }\frac{\text{ Total no. - No. of those who didn't caviled}}{\text{ Total number}}\text{ x 100}\)Let,
x = Total no. of newcomers
We get,
\(\text{ 96\% = (}\frac{\text{ x - 140}}{\text{ x }})(\text{100)}\)\(\text{ }\frac{\text{96\% }}{100}\text{= }\frac{\text{ x - 140}}{\text{ x }}\)\(\text{ (0.96)(x) = x - 140}\)\(\text{ 0.96x = x - 140}\)\(\text{ 140 = x - 0}.96\text{x}\)\(\text{ 140 = 0.04x}\)\(\text{ }\frac{\text{140}}{0.04}\text{ = }\frac{\text{0.04x}}{0.04}\)\(\text{ 3,500 = x}\)Therefore, there were 3,500 newcomers there.
Related Questions
differentiate with respect to x
4x3-12x2+14x
Answers
Answer:
You are differentiating with respect to x
with the formula X^n = nX^n-1
dy/dx= 12x2 - 24x + 14
Find the solution of the system for which
Answers
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
Which mathematical figure has length but no beginning or end?
O a point
O a segment
O a line
O a ray
Answers
Answer:
a line
Which of the following graphs shows the solution set for the inequality below? 3|x + 1| < 9
Answers
Step-by-step explanation:
The absolute value function is a well known piecewise function (a function defined by multiple subfunctions) that is described mathematically as
\(f(x) \ = \ |x| \ = \ \left\{\left\begin{array}{ccc}x, \ \text{if} \ x \ \geq \ 0 \\ \\ -x, \ \text{if} \ x \ < \ 0\end{array}\right\}\).
This definition of the absolute function can be explained geometrically to be similar to the straight line \(\textbf{\textit{y}} \ = \ \textbf{\textit{x}}\) , however, when the value of x is negative, the range of the function remains positive. In other words, the segment of the line \(\textbf{\textit{y}} \ = \ \textbf{\textit{x}}\) where \(\textbf{\textit{x}} \ < \ 0\) (shown as the orange dotted line), the segment of the line is reflected across the x-axis.
First, we simplify the expression.
\(3\left|x \ + \ 1 \right| \ < \ 9 \\ \\ \\\-\hspace{0.2cm} \left|x \ + \ 1 \right| \ < \ 3\).
We, now, can simply visualise the straight line, \(y \ = \ x \ + \ 1\) , as a line having its y-intercept at the point \((0, \ 1)\) and its x-intercept at the point \((-1, \ 0)\). Then, imagine that the segment of the line where \(x \ < \ 0\) to be reflected along the x-axis, and you get the graph of the absolute function \(y \ = \ \left|x \ + \ 1 \right|\).
Consider the inequality
\(\left|x \ + \ 1 \right| \ < \ 3\),
this statement can actually be conceptualise as the question
\(``\text{For what \textbf{values of \textit{x}} will the absolute function \textbf{be less than 3}}"\).
Algebraically, we can solve this inequality by breaking the function into two different subfunctions (according to the definition above).
Case 1 (when \(x \ \geq \ 0\))\(x \ + \ 1 \ < \ 3 \\ \\ \\ \-\hspace{0.9cm} x \ < \ 3 \ - \ 1 \\ \\ \\ \-\hspace{0.9cm} x \ < \ 2\)
Case 2 (when \(x \ < \ 0\))\(-(x \ + \ 1) \ < \ 3 \\ \\ \\ \-\hspace{0.15cm} -x \ - \ 1 \ < \ 3 \\ \\ \\ \-\hspace{1cm} -x \ < \ 3 \ + \ 1 \\ \\ \\ \-\hspace{1cm} -x \ < \ 4 \\ \\ \\ \-\hspace{1.5cm} x \ > \ -4\)
*remember to flip the inequality sign when multiplying or dividing by
negative numbers on both sides of the statement.
Therefore, the values of x that satisfy this inequality lie within the interval
\(-4 \ < \ x \ < \ 2\).
Similarly, on the real number line, the interval is shown below.
The use of open circles (as in the graph) indicates that the interval highlighted on the number line does not include its boundary value (-4 and 2) since the inequality is expressed as "less than", but not "less than or equal to". Contrastingly, close circles (circles that are coloured) show the inclusivity of the boundary values of the inequality.
Joe makes tomato sauce to sell at a craft fair. He makes it in 5 gallon batches. How many pint jars does he need to hold 5 gallons of sauce?
Answers
By doing a change of units, we know that he will need 40 pint jars to hold the whole volume of sauce.
How many pint jars does he need?
We know that Joe makes tomato sauce to sell at a craft fair, and we know that he did make that sauce in 5-gallon batches.
We want to see how many jars do he need to hold these 5 gallons, so we need to perform a change of units.
Remember the relation:
1 gallon = 8 pints.
So, for each gallon, he will need 8 pint jars, then for the 5 gallons, he will need:
5*8 pint jars = 40 pint jars.
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during flu season there was. 124 students out of school on a particular day if there are 775 students in the school what percent of them have the flu ?
Answers
Answer:
16% of the Students
Step-by-step explanation:
\(\frac{124}{775} * \frac{x}{100} \\124 * 100 = 12400\\12400 / 775 = 16\\x = 16\\\frac{124}{775} *\frac{16}{100} \\\)
What formula do I use for this? How do I get the points to graph?
Answers
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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Two systems of linear equations in two variables, x and y, are given.
System P:
(3x-10y=8
7x+2y=6
The two systems have the same solution..
What are the values of b and c?
b=
System T:
bx - 10 y + 10 y = 38
cx + 10 y = 30
=
C =
Answers
Answer:
Step-by-step explanation:
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answers
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
Find the area of a rectangle whose length (L) = 15 in. and width (W) = 2 in.
(a) 17 in ²
(c) 13 in. ²
(b) 30 in.²
(d) 68 in.²
Answers
Cuz area is LxW
Enter the number that belongs in the green box. 4 51° 109°
Answers
The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.
What is the length of the longest side?It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.
Consequently, it follows from the sine law that;
4 / sin 20° = x / sin 109°
x = 4 sin 109° / sin 20°
x = 11.06.
Ultimately, the number that belongs in the green box is; 11.06.
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Which of the following inequalities are correct?
Some of the numbers involved are shown on the number line below.
Answers
The correct inequalities in this problem are given as follows:
A. 7.5 > 5.7.
B. 5.7 > -7.5.
C. -7.5 < -5.7.
What are the inequalities symbols?The four inequalities symbols are given as follows:
>: greater than.>= : greater than or equal.<: less than.<: less than or equal.In item a, the numbers 7.5 and 5.7 are compared, and in fact, 7.5 is greater than 5.7, hence the inequality is correct.
In item b, the numbers -7.5 and 5.7 are compared, and in fact, 5.7 is greater than -7.5, hence the inequality is correct. This is because a positive number is always greater than a negative numbers, as it is always positioned to the right on the number line.
For negative numbers, the lower absolute values mean that the number is greater, hence -7.5 is less than -5.7, that is, -5.7 is greater than -7.5, meaning that statement C is also correct.
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Find the supplementary angle of 92 ½ and steps given
Answers
Answer:
87.5°
Step-by-step explanation: so 92 1/2° is = 92.5°
and a supplementary angle is = 180°
So We Just do some simple math
180° - 92.5° = 87.5
hope this helped :)
Subtract 92.5 from 180 to get your second angle
180-92.5 = 87.5
The supplementary angle is 87 1/2
Simplify the expression 5x2+6x+4+x2+x
.
Thank You!
Answers
The simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
The given expression is 5x²+6x+4+x²+x
Simplifying the given expression
5x²+6x+4+x²+x
Firstly, put the similar terms together
5x²+x²+6x+x+4
Adding the similar terms
6x²+7x+4
∵ The expression cannot be solved further, 6x²+7x+4 is the final solution.
Therefore, the simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
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you have 51 coins in your pocket, all dimes and quarters. You have $10.20. How many dimes and quarters do you have?
Answers
To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.
To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.
We know that there are 51 coins in total, so we can write the equation: d + q = 51.
We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
Rearrange the first equation to solve for d: d = 51 - q.
Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.
Simplify and solve for q: 510 - 10q + 25q = 1020.
Combine like terms: 15q = 510.
Divide both sides by 15: q = 34.
Now substitute this value back into the first equation to solve for d: d + 34 = 51.
Subtract 34 from both sides: d = 17.
Therefore, you have 17 dimes and 34 quarters.
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what is a parralel line
Answers
Answer:
A parallel line is something that is equivalent on the other end. This mean if you cut a shape, a square for example, in half,the sides will be of equal length.
Answer:
a parallel line is diagonal
find the value of each variable in the parallelogram
Answers
Answer:
Step-by-step explanation:
for the width
16-h=7
16-7=h
h=9
(g+4)=65
g=65-4
g=61degrees
The value of each variable in the parallelogram:
h = 9 and g = 61°.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
Given:
The shape is a parallelogram.
That means, the opposite sides are parallel and equal.
16 - h = 7
h = 16 - 7
h = 9
And opposite angles of a parallelogram are also equal.
g+4 = 65
g = 65 - 4
g = 61°
Therefore, the values are g = 61° and h = 7.
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Which of the following is(are) the solution(s) to 17x+12= 12?
Answers
Answer:
17x+12=12
17x=12-12
17x=0
divide both sides by 17
x=0
rough check
17(0) = 12-12
0=0
I hope this helps
Given a = 4, b = -2 and c = 8, evaluate ab - bc. -4 -24 8
Answers
Answer:
-244
Step-by-step explanation:
(4)(−2)−(−2)(8)−4−248
Answer:
8
Step-by-step explanation:
ab - bc
(4)(-2) - (-2)(8)
= 8
To solve (6.5) + (5.5), which direction would you move on the number
line? A total of how many times?
Answers
Answer:
the answer of it is 35.75
Step-by-step explanation:
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
By what percent does the number of wolves change each year?
Answers
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
Percent calculation.
To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.
The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.
To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:
Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
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Correct answer gets brainliest
Answers
Answer:
D. its a two dimensional object
Answer:
A. It is a polygon
C. It is a one-dimensional object
The shape is a polygon in two dimensions since a polygon must have at least three straight sides.
Reread the three paragraphs that begin at the top of page 2 and end on page 3. How does the flashback in these paragraphs advance the plot
Answers
The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.
What is Flashback Narrative?The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.
The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.
Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather
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Find x in this equation
Answers
Answer:
5
Step-by-step explanation:
\(\triangle HBK \cong \triangle NBK\) by SAS. Using CPCTC, \(3x=x+10 \implies 2x=10 \implies x=5\).
What is x in 3x - 7 = 11
Answers
Answer:
x = 6
Step-by-step explanation:
3x - 7 = 11
3x = 11 + 7
3x = 18
x = 6
Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answers
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
Can some help with the answer please it’s very much needed and apprIeciated
Answers
Answer:
A
Step-by-step explanation:
The degree of the Polynomial is 3
it’s MATH who knows how to do this i’m down bad
Answers
Answer/Step-by-step explanation:
1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)
Collect like terms
7x - 5x = -2 + 22
2x = 20
2x/2 = 20/2
x = 10
2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)
Collect like terms
13x - 10x = 6 + 24
3x = 30
3x/3 = 30/3
x = 10
3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)
12x + 26 + 46 = 180
12x + 72 = 180
12x + 72 - 72 = 180 - 72
12x = 108
12x/12 = 108/12
x = 9
4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)
5x + 5 + 135 = 180
5x + 140 = 180
5x + 140 - 140 = 180 - 140
5x = 40
5x/5 = 40/5
x = 8
Please help i need help!!!!!
Answers
The multiplication and 1 division equation represent the relationship that will be 2 5/12 × l = 3 1/3 . Option A is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that,
Kalani had a length of 3-m of cloth and cut 2- strips the full width of the cloth. Let / 12 represent the length, in meters, of each whole strip.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
The equation represents the relationship as,
2 5/12 × l = 3 1/3
Thus, the multiplication and 1 division equation represent the relationship that will be 2 5/12 × l = 3 1/3. Option A is correct.
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Simplify: ( 3x + 4xy + 6y ) + ( 4y - 2x + 3xy )
Answers
Answer:
x + 7xy + 10y
Step-by-step explanation:
Remove parenthesis:
3x + 4xy + 6y + 4y - 2x + 3xy
Group like terms:
3x + 4xy + 6y + 4y - 2x + 3xy
x + 4xy + 6y + 4y + 3xy
x + 7xy + 6y + 4y
x + 7xy + 10y
hope this helps!