Answers
SOLUTION
We want to write 235% as a decimal and round to the nearest thousandth.
This becomes
[tex]\begin{gathered} 235\% \\ =\frac{235}{100} \\ =2.35 \\ =2.350 \end{gathered}[/tex]Hence the answer is 2.350 to the nearest thousandth
Related Questions
Flying against the wind, a jet travels 6320 miles in 8 hours. Flying with the wind, the same jet travels 5950 miles in 5 hours. What is the rate of the jet in stillair and what is the rate of the wind?Rate of the jet in still air:Rate of the wind:
Answers
Given,
A jet travels 6320 miles in 8 hours.
Flying with the wind, the same jet travels 5950 miles in 5 hours.
To find: The rate of the jet in still air, and the rate of the wind.
Solution:
The jet's velocity against the wind is
[tex]\frac{6320}{8}=790\text{ miles per hour}[/tex]The jet's velocity with wind is
[tex]\frac{5950}{5}=1190\text{ miles per hour}[/tex]Let the velocity of the jet in still air be x miles per hour and velocity of wind be y miles per hour.
As such its velocity against wind is x-y and with wind is x+y and therefore
[tex]\begin{gathered} x-y=790.......(1) \\ x+y=1190.......(2) \end{gathered}[/tex]Solve both equations (1) and (2)
[tex]\begin{gathered} 2x=1980 \\ x=\frac{1980}{2} \\ x=990 \end{gathered}[/tex]And
[tex]\begin{gathered} y=1190-990 \\ y=200 \end{gathered}[/tex]Hence, the velocity of the jet in still air is 990 miles per hour and the velocity of wind is 200 miles per hour.
What is the slope of the line that passes through the points (−2,2) and (−4,−1)? Write your answer in simplest form.
Answers
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The formula for slope is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
Using points (-2,2) and (-4,-1), this gives us:
[tex]\frac{-1-2}{-4-(-2)}[/tex], which simplifies to [tex]\frac{3}{2}[/tex].
log(10^6x) = ? A. 6x B. 60 O C. X O D. 106
Answers
Log (10^6x) =
6x ,
then
10^n = 10^6x
So then we obtain
n= 6x
Then answer is
OPTION A) 6x
Answer: A. 6x
Step-by-step explanation:
[tex]log10^{6x}=\\\\6x(log10)=\\\\6x(1)=\\\\6x[/tex]
Write the equation of a line with slope of- 2/3and goes through the point (−6,−5)in standard form. A. 2x + 3y = -27B. -2x + 3y = -27C. 2x + 3y = -3D. -2x + 3y = 3
Answers
We want to find the equation of a line with slope -2/3 and goes through the point (-6,-5).
We can write the general equation of a line as:
[tex]\begin{gathered} y=mx+b \\ \text{Where m is the slope and b is the y-intercept value} \end{gathered}[/tex]In this case, m=-2/3 and the point (-6,-5) must satisfy the equation, so:
[tex]\begin{gathered} y=-\frac{2}{3}x+b \\ We\text{ find the value of b with the point (x,y)=(-6,-5):} \\ -5=-\frac{2}{3}\cdot(-6)+b \\ -5=\frac{12}{3}+b \\ -5=4+b \\ b=-5-4=-9 \end{gathered}[/tex]Now, we replace the value of b and write the equation in the standard form:
[tex]\begin{gathered} y=-\frac{2}{3}x-9 \\ We\text{ can multiply al the equation by 3:} \\ 3\cdot y=3\cdot(-\frac{2}{3}x-9) \\ 3y=-\frac{2}{3}\cdot3\cdot x-9\cdot3 \\ 3y=-2x-27 \\ 2x+3y=-27 \end{gathered}[/tex]So, the option A is the correct answer.
13. What is the length of the missing side, x?40 in74035 in51049 in.74°55°
Answers
Okay, here we have this:
Considering the provided triangle, we are going to calculate the side "x", so we obtain the following:
To find this measure we will use the law of sines, so we have:
[tex]\begin{gathered} \frac{c}{\sin(C)}=\frac{a}{\sin(A)} \\ c=\frac{a\cdot\sin(C)}{\sin(A)} \\ x=\frac{49*\sin(74)}{\sin(180-74-55)} \\ x=\frac{49*\sin(74)}{\sin(51)} \\ x\approx60.61\text{ in} \end{gathered}[/tex]Finally we obtain that the measure of x is approximately 60.61 in.
summer is planning to build a small snowcone shed that is walkable from three different schools. It is7/8 miles from north junior high .0.68 from South elementary, and 5/6 miles from Westside Elementary. Order the schools from closest to farthest away from summer snow cones.
Answers
The order of the schools from the closest to farthest away from summer snow cones is South Elementary < West Side Elementary < North Junior High .
In the question ,
it is given that
the Summer is planning to build a small snow cone shed .
the distance from north junior high = 7/8 miles = 0.875 miles
the distance from South elementary = 0.680 miles
the distance from West Side elementary = 5/6 miles = 0.833 miles
From , above result we see that
the farthest from summer snow cone is north junior high which is 0.875 miles .
the nearest from summer snow cone is South Elementary which is 0.680 miles .
So , the order from closest to farthest is
South Elementary < West Side Elementary < North Junior High
Therefore , The order of the schools from the closest to farthest away from summer snow cones is South Elementary < West Side Elementary < North Junior High .
Learn more about Order here
https://brainly.com/question/13949477
#SPJ1
Eric jogged 3 1/4 on Mon, 5 5/8 >; Tues and 8 miles on Wed. Suppose he continues this pattern for the remainder of the week. how far will Eric jog on Fri?
Answers
Sequences
The distance in miles jogged by Eric in the week are shown below:
Mon: 3 1/4
Tue: 5 5/8
Wed: 8
The distances form a pattern which we will recognize below.
Let's compute the differences in the distance of each day with respect to the previous day:
[tex]r=5\frac{5}{8}-3\frac{1}{4}[/tex]Converting each mixed fraction into improper fractions:
[tex]r=(5+\frac{5}{8})-(3+\frac{1}{4})=\frac{45}{8}-\frac{13}{4}[/tex]The LCM of the denominators is 8, thus:
[tex]r=\frac{45}{8}-\frac{13}{4}=\frac{45}{8}-\frac{26}{8}=\frac{19}{8}[/tex]Now we find the same difference between the third and the fourth terms of the sequence:
[tex]r=8-\frac{45}{8}=\frac{64-45}{8}=\frac{19}{8}[/tex]Since both differences have the same value, the terms of the distances jogged by Eric form an arithmetic sequence. The general term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)\cdot r[/tex]Where a1 is the first term, n is the number of the term, and r is the common difference.
We have the values a1=3 1/4= 13/4. r=19/8, thus the distance jogged by Eric on Friday (n=5) is:
[tex]a_5=\frac{13}{4}+(5-1)\cdot\frac{19}{8}[/tex]Calculating:
[tex]a_5=\frac{13}{4}+4\cdot\frac{19}{8}=\frac{13}{4}+\frac{19}{2}[/tex]The LCM of 2 and 4 is 4, thus:
[tex]a_5=\frac{13}{4}+\frac{38}{4}=\frac{51}{4}[/tex]Converting to mixed fraction:
[tex]a_5=\frac{51}{4}=\frac{48+3}{4}=12+\frac{3}{4}=12\frac{3}{4}[/tex]Eric jogged 12 3/4 miles on Friday
Each lap around The track is 400 meters .A. How many laps does someone run if they run 2 laps , 5 laps , x laps .
Answers
Each lap around the track is 400 m.
Therefore, if someone run 2 laps, we have,
[tex]400\times2=800m[/tex]Similarly, when someone runs 5 laps, we have,
[tex]400m\times5=2000m[/tex]Therefore when someone runs x laps,
[tex]400m\times x=400x\text{ m}[/tex]When x= 1,
[tex]400m\times1=400m[/tex]Write an equation in slope-intercept form for the line that passes through (4,-3) and is parallel to the line described by y=1/2+5
Answers
Given:
The point, (4, -3)
The line,
[tex]y=\frac{1}{2}x+5[/tex]To find an equation in slope-intercept form for the line that passes through (4,-3) and is parallel to the given line:
The slope of the line is,
[tex]m=\frac{1}{2}[/tex]Since the given line is parallel to the new line, so the slope will be same for the both.
Using the point-slope formula,
[tex]y-y_1=m(x-x_1)[/tex]Substitute the point and slope we get,
[tex]\begin{gathered} y-(-3)=\frac{1}{2}(x-4) \\ y+3=\frac{1}{2}x-2 \\ y=\frac{1}{2}x-2-3 \\ y=\frac{1}{2}x-5 \end{gathered}[/tex]Hence, the equation in slope-intercept form for the line is,
[tex]y=\frac{1}{2}x-5[/tex]The revenues of a company increased by 40% in year one and decreased by 28% in year two. What is the overall change over the two-year period?
What is the overall change?
Answers
The revenues of a company increased by 40% in year one and decreased by 28% in year two, then the overall change over the two-year period is 0.8%
Consider the revenue of the company = x
The revenues of a company increased by 40%
New revenue = x + x(40/100)
= (1+0.4)x
= 1.4x
In next year the revenue decreased by 28%
= 1.4x - (1.4x ×28/100)
= 1.4x - 0.392x
= 1.008x
The over all change in revenue = [tex]\frac{1.008x-x}{x}[/tex] × 100%
= 0.008×100%
= 0.8%
Hence, the revenues of a company increased by 40% in year one and decreased by 28% in year two, then the overall change over the two-year period is 0.8%
Learn more about revenue here
brainly.com/question/12056808
#SPJ1
Which of the following transformations would map CD on C'D'
Answers
hello, first we need to know what color represents each line segment.
Look at the figure: CD is represented in green, and C'D is represented in blue.
Now, let's look at the points of each one:
CD: (2,1) and (3(-4)
C'D': (-1,2) and (4,3)
To solve this question, we need to rotate the green line segment to the same position as the blue line segment.
So, if we rotate 90 degrees in the clockwise, we will have:
(-2, 1) and (-3, -4)
If we rotate 90 degrees in the counterclockwise, we will have:
(-1,2) and (4,3). This are the same points of the line segment C'D'
Look at Picture for further clarification round to nearest minute
Answers
To determine A we will use the inverse function of the sine ( the arcsine):
[tex]\begin{gathered} \sin ^{-1}(\sin A)=\sin ^{-1}(0.573) \\ A\approx34.9596^{\circ}. \end{gathered}[/tex]Now, we convert A from degrees to degrees and minutes:
[tex]A\approx34.9596^{\circ}=34^{\circ}57.576^{\prime}\approx34^{\circ}58^{\prime}\text{.}[/tex]Answer:
[tex]A\approx34^{\circ}58^{\prime}\text{.}[/tex]Two friends, Andrew and Liz, are playing a game using this spinner. If thespinner lands on region 4, Andrew wins. If it lands on region 3, Liz wins. If itlands on any other region, neither wins. Is this a fair game?
Answers
Since we have the following probabilities:
[tex]\begin{gathered} P(1)=P(4)=\frac{1}{4} \\ P(2)=P(3)=P(5)=P(6)=\frac{1}{8} \end{gathered}[/tex]then, this is not a fair game, since Andrew has a 1/4 probability of winning and Liz has a 1/8 probability of winning
What is the value of x − 9 if x = −24?
Options :33 15 −15 −33
Answers
The value of x - 9 is -33 when x is -24
Given,
x - 9
x = -24
In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown."
Apply arithmetic operations to both sides of the equation to bring the variable to one side and all other values to the other side in order to find the value of x. To determine the outcome, simplify the values.
We have to find the value of x - 9 when x = -24.
That is,
x - 9
-24 - 9 = -33
Here,
The value of x - 9 is -33 when x is -24
Learn more about value here;
https://brainly.com/question/24058997
#SPJ1
Answer:
what de person said above ME
Which of the following equations has a graph that is a rose?
Answers
Solution
The answer is
You created a blog and after 2 weeks you get your first subscriber. The number of subscribers grows quickly, tripling each week afterwards. Excited about your blog's popularity you wonder, how many subscribers will the blog have 20 weeks after you created it?
Answers
From the information provided, we know that the first subscriber came after two weeks. This means as at the 20th week, your blog would have been growing for 18 weeks. Also take note that the first term in this sequence is 1, and the common ratio is 3. We know this because the number of subscribers triples each week after the first subscriber.
Therefore, for the geometric sequence, we have the following;
[tex]\begin{gathered} a_1=1 \\ r=3 \\ \end{gathered}[/tex]The nth term of a geometric progression is given as;
[tex]a_n=ar^{n-1}[/tex]For the 18th term, which is the number of subscribers after the 20th week, we would have;
[tex]\begin{gathered} a_{18}=a\times r^{18-1} \\ a_{18}=1\times3^{17} \\ a_{18}=129,140,163 \end{gathered}[/tex]ANSWER:
This means 20 weeks after the blog was created, you now have
129,140,163 subscribers
Answer these questions please ?
Answers
In the parallelogram PQRS
PS = 5 and ∠Q = 105 What is defined as the parallelogram?A parallelogram is a type of quadrilateral created by parallel lines. A parallelogram's angle between adjacent sides can vary, however the opposite sides must be parallel in order to be a parallelogram. A parallelogram is formed when the opposite sides of a quadrilateral are parallel as well as congruent.For the given question;
In the parallelogram PQRS,
QR = PS = 5 (opposite side of parallelogram are parallel and equal).
Sum of all angles is 360.
∠Q = ∠S (opposite angles of parallelogram are equal)
∠P + ∠Q + ∠R + ∠S = 360
2∠P + 2∠Q = 360
2∠Q = 360 - 2∠P
2∠Q = 360 - 1502∠Q = 210
∠Q = 105
Thus, the angle Q is found as 105 degrees.
To know more about the parallelogram, here
https://brainly.com/question/970600
#SPJ1
What are the zeros of the function represented by the quadratic expression?A. x= 3/2 and x = 1B. x= -2/3 and x = 1c x= -1 and x = 2/3d. x= -1 and x = -3/2
Answers
so the zeros of the function are 1 and -3/2. So the answer is option A
Samantha is designing a vidèo game where players get 3 free revives per level. She wanted O test howmany revives players might use on a new level.Samantha recruited 50 players to play the level, and she recorded how many revives each player used.Fill in the blanks to complete the probability distribution.Do not round your answers.Revives used023Frequency6228Probability0.120.44 0.16
Answers
Frequency = 14
Probability = 0.28
Explanation:The sample size is given to be 50
Frequency must sum to 50
Let the missing frequency be x
6 + x + 22 + 8 = 50
x + 36 = 50
x = 50 - 36 = 14
The corresponding probability for the frequency above is:
14/50 = 0.28
Frequency = 14
Probability = 0.28
find the x- and y-intercepts of the graphs of each equation6x+12y=24-5x+3y=-24
Answers
To find the x-intercept we replace y=0 and solve for x
To find the y-intercept we repalce x=0 and solve for y
First equation
[tex]6x+12y=24[/tex]x-intercept
[tex]\begin{gathered} 6x+12(0)=24 \\ 6x=24 \\ x=\frac{24}{6} \\ \\ x=4 \end{gathered}[/tex]x-intercept is
[tex](4,0)[/tex]y-intercept
[tex]\begin{gathered} 6(0)+12y=24 \\ 12y=24 \\ y=\frac{24}{12} \\ \\ y=2 \end{gathered}[/tex]y-intercept is
[tex](0,2)[/tex]Second equation
[tex]-5x+3y=-24[/tex]x-intercept
[tex]\begin{gathered} -5x+3(0)=-24 \\ -5x=-24 \\ x=\frac{-24}{-5} \\ \\ x=\frac{24}{5} \end{gathered}[/tex]x-intercept is
[tex](\frac{24}{5},0)[/tex]Y-intercept
[tex]\begin{gathered} -5(0)+3y=-24 \\ 3y=-24 \\ y=\frac{-24}{3} \\ \\ y=-8 \end{gathered}[/tex]y-intercept is
[tex](0,-8)[/tex]Which expression results in a rational number? (1) V2.VIS (3) V2 + 2 (2) 5.5 (4) 3V2 +213
Answers
Step 1
Consider all options
[tex]\begin{gathered} \sqrt[]{2}+\sqrt[]{2}=\text{ 2}\sqrt[]{2}\text{ and 2}\sqrt[]{2\text{ }}is\text{ irrationl} \\ 5\times\sqrt[]{5}=\text{ 5}\sqrt[]{5}\text{ and 5}\sqrt[]{5\text{ }}is\text{ irrational} \end{gathered}[/tex][tex]\begin{gathered} 3\sqrt[]{2\text{ }}+\text{ 2}\sqrt[]{3}=\text{ 3}\sqrt[]{2\text{ }}_{_{_{_{_{_{_{_{_{_{_{}}}}}}}}}}}+2\sqrt[]{3}\text{ and this is irrational} \\ \sqrt[]{2}\times\sqrt[]{18}=\sqrt[]{36\text{ }}=6\text{ and 6 is rational} \end{gathered}[/tex]Hence the answer is option A
Let g(x) = 2x and h(x) = x^2 + 4. Find the value.(g o h) (0)a) 4b) 8c) 0d) 16
Answers
Solve for (g o h)(x)
[tex]\begin{gathered} (g\circ f)(x)=g\big(f(x)\big) \\ (g\circ f)(x)=g(x^2+4) \\ (g\circ f)(x)=2(x^2+4) \\ (g\circ f)(x)=2x^2+8 \end{gathered}[/tex]Next substitute x = 0
[tex]\begin{gathered} (g\circ f)(x)=2x^2+8 \\ (g\circ f)(0)=2(0)^2+8 \\ (g\circ f)(0)=8 \end{gathered}[/tex][tex]\text{Therefore, }(g\circ f)(0)=8[/tex]farmer has 100 m of fencing to enclose a rectangular pen.
Which quadratic equation gives the area (A) of the pen, given its width (w)?
Answers
Considering the area and the perimeter of a rectangle, the quadratic equation that gives the area (A) of the pen, given its width (w), is:
A = -w² + 50w.
What are the area and the perimeter of a rectangle?Considering a rectangle of length l and width w, we have that the area and the perimeter have equations presented as follows:
The area is given by A = lw.The perimeter is given by P = 2(l + w).In the context of this problem, the farmer has 100 m of fencing to enclose a rectangular pen, meaning that the perimeter is of 100 m, hence:
2(l + w) = 100
l + w = 50
l = 50 - w.
Hence the area of the pen is given by the following quadratic equation:
A = lw
A = (50 - w)w
A = -w² + 50w.
More can be learned about the area and the perimeter of a rectangle at https://brainly.com/question/10489198
#SPJ1
Find the domain and the range please help fast 20 points
Answers
Answer:
See below
Step-by-step explanation:
Domain is the values of x a graph can have
-5 < x <= 6
Range is the y-values a graph can have
-5 < y <= 3
Christina works at Candletree Bakery. She spent the morning making chocolate chip cookies. To make b batches of cookies, Christina uses 12b ounces of chocolate chips. This morning she made 7 batches of cookies. How many ounces of chocolate chips did Christina put in the cookies?
Answers
The number of chocolate chips used to make 7 batches of cookies with maintaining the given ratio will be 12 × 7 = 84.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
To make b batches of cookies, Christina uses 12b ounces of chocolate chips.
The ratio of ounces of chocolate to the number of batches will be,
⇒ 12b/b = 12
Let's suppose Christina uses x ounces of chocolate to make 7 batches of cookies.
The ratio of ounces of chocolate to the number of batches will be,
⇒ x/7
Both ratios must be the same.
Therefore, x/7 = 12
x = 84
Hence "The number of chocolate chips used to make 7 batches of cookies with maintaining the given ratio will be 12 × 7 = 84".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ1
Give exact values, not decimal approximations. If the sum does not exist, click on "No sum". [tex](5) + (5) {}^{2} + (5) {}^{3} + ...[/tex]
Answers
first
[tex]undefined[/tex]Please help with part a b and c, C says “compre the functions algebraically by rewriting them using a common denominator”
Answers
Given:
[tex]\begin{gathered} f(x)=\frac{x+2}{x+3} \\ g(x)=\frac{x+5}{x} \end{gathered}[/tex]Required:
To find the values of the given functions at the given values of x.
Explanation:
At x = 0.5, Put x=0.5 in f(x) and g(x).
[tex]\begin{gathered} f(0.5)=\frac{0.5+2}{0.5+3} \\ f(0.5)=\frac{2.5}{3.5} \\ f(0.5)=0.714 \\ g(0.5)=\frac{0.5+5}{0.5} \\ g(0.5)=11 \end{gathered}[/tex]Now put x=1 in f(x) and g(x)
[tex]\begin{gathered} f(1)=\frac{1+2}{1+3} \\ f(1)=\frac{3}{4} \\ f(1)=0.75 \\ g(1)=\frac{1+5}{1} \\ g(1)=6 \end{gathered}[/tex]Now put x=2 in f(x) and g(x).
[tex]\begin{gathered} f(2)=\frac{2+2}{2+3} \\ f(2)=\frac{4}{5} \\ f(2)=0.8 \\ g(2)=\frac{1+5}{2} \\ f(2)=\frac{6}{2} \\ f(2)=3 \end{gathered}[/tex]Similarly, we will put the other values of x in f(x) and g(x), and then make the table by putting the values.
These points are linear.Find the slope.x234567y 10 15 20 25 30 35
Answers
points
(2,10), (3,15), and (4,20)
as x increases by 1, y increases by 5
rise / run
5 / 1, 5
slope is 5
There are 10 boys and 13 girls in an eighth grade class.Which of the following is a correct way to write the ratio of boys to girls?A) 10 to 13B) 10:13C) /D) 13:10
Answers
Answer:
D) 13:10
Explanation:
Given:
Total number of boys = 10
Total number of girls = 13
We can show ratios in different ways. We can use the ":" to separate the values , and we also use the word "to". In addition, we can also write like a fraction.
Since "boys" is mentioned first, the correct ways to write the ratio of boys to girls are:
Using the word "to":
By using the colon or ":"
By using fraction,
Therefore, 13:10 is NOT the correct way to write the ratio of boys to girls.
hannah is purchasing x t-shirts that cost $13.50 each before tax. the function g(x) = 13.5x models the cost to purchase x t-shirts. the function f(x) = 0.25(13.6x) models the discount that will be applied to the cost of x t-shirts. what is the value of k if the function m(x) = kx represents the cost of x t-shirts after the discount but before tax?
Answers
Step-by-step explanation:
for the basic costs of x t-shirts
g(x) = 13.5x
for the discount on the costs of x t-shirts
f(x) = 0.25(13.6x) are you sure ? to apply 25% discount we do this for the basic price of every t-shirt, and that is $13.50. not $13.60. I think you made a typo here and the true function is
f(x) = 0.25(13.5x)
m(x) = g(x) - f(x) = 13.5x - 0.25(13.5x) =
= (1 - 0.25)×13.5x = 0.75 × 13.5x = 10.125x
k = 10.125