Given :
[tex](\dfrac{X}{10}\times 0.24 )- \dfrac{15.5}{7.5} = 9\\\\[/tex]
To Find :
The value of x.
Solution :
[tex](\dfrac{X}{10}\times 0.24 )- \dfrac{15.5}{7.5} = 9\\\\(\dfrac{X}{10}\times 0.24 ) = 9 + \dfrac{15.5}{7.5}\\\\(\dfrac{X}{10}\times 0.24 ) = \dfrac{(9\times 7.5 )+ 15.5}{7.5}\\\\(\dfrac{X}{10}\times 0.24 ) = \dfrac{83}{7.5}\\\\X = \dfrac{83\times 10}{7.5\times 0.24}\\\\X = 461.11[/tex]
Therefore, the value of X is 461.11 .
A printer need to make a poster that will have a total poster area of 200 in^2 and will have 1 inch margins on the sides, a 2-inch margins on both the top and the bottom. What dimensions will give the largest printed area?
Answer:
The dimensions that will give the largest printed area of 132.1669 in^2 are
= Length x Width
= 15.20829 * 8.69045
Step-by-step explanation:
a) Data and Calculations:
Total poster area = 200 in^2
Side margins = 1 inch each
Top and bottom margins = 2 inches each
Let x = length of the full poster
then 200/x = width of the full poster
Therefore, the length of the printed area = x - 3.5
and the width of the printed area = (200/x)-2
Therefore, the Area of the Printed space = (x-3.5)((200/x)-2)
Solving for the Area (A) of the printed space, we have
A = (x-3.5)(-200/x2) + ((200/x)-2)
A = 700 -2x2
If the derivative is set to 0, we have:
0 = 700 -2x2
700 = 2x2
350 = x2
x = 18.70829 The original length
width = 10.69045
Therefore, the area of space available for printing is
15.20829 * 8.69045
= 132.1669 in^2
Randy saves money using an account which earns interest over the course of several years. Which statement is true?
Answer:
Step-by-step explanation:
What are the options?
Answer:
C. The value of money increases over time.
Step-by-step explanation:
Randy saves money using an account which earns interest over the course of several years. Which statement is true?
A.
The future value of his account is equal to the present value.
B.
The present value of money in his account is greater than the future value.
C.
The value of money in his account remains constant over time.
D.
The value of money in his account increases over time.
PLEASE HELP I'LL GIVE BRAINLIEST URGENT
In a scale drawing of a car, 2 centimeters represents 7 inches.
In the scale drawing, the length of the car is 41 centimeters. What is the length of the real car? If necessary, round your answer to the nearest tenth.
Answer:
287 inches so rounding its 290 inches
Match each vocabulary word to the picture.
A - Linear Pair
B - Vertical Angles
C - Angle Bisector
D - Parallel Lines
E - Ortho Center
F - Centroid
Answer:
p1 = F
p2 = D
p3 = B
p4 = A
p5 = E
p6 = C
Step-by-step explanation:
The following are matched.
P4 - Linear Pair
P3 - Vertical Angles
P6 - Angle Bisector
P2 - Parallel Lines
P5 - Ortho Center
P1 - Centroid
What is a triangle?
It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
P1.
It is the centroid of the triangle.
P2.
AB and CD are parallel lines.
P3.
∠AEB and ∠CED are vertical angles.
P4.
∠AEB and ∠AEC sum is 180.
It is a linear pair.
P5.
Point P is the orthocenter.
P6.
ABC and CBD are angle bisector.
Thus,
P4 - A
P3 - B
P6 - C
P2 - D
P5 - E
P1 - F
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
846.27 divided by 0.22
Answer:
3846.68182
Step-by-step explanation:
4 pairs of pants for 22.60. what is the unit rate?
Answer:
$5.65
Step-by-step explanation:
Divide 22.6 / 4.
5.65
Best of Luck!
Jenny peddled her bike 30 miles in 40 minutes. If she traveled at the same speed, how far would she travel in 3 hours?
Answer:
Jenny cycles the grand distance of 29 and one third of a mile.
Step-by-step explanation:
I want to answer this using fractions and without multiplying by an awkward recurring decimal.
Cycling 11 miles in 45 minutes and continuing at the same speed means she will go 22 miles in 90 minutes
To scale up 90 mins to the required 120 mins (2 hours) multiply by 4/3.
22 x (4/3) = 88/3
Jenny will travel 88/3 miles in 2 hours.
Not happy with top heavy fractions?
Let's round up 88/3 to 90/3 by adding 2/3.
90/3 = 30 and to get back to the answer we just take away the two thirds we added when rounding up.
Jenny cycles the grand distance of 29 and one third of a mile.
I think that is the correct answer.
Which of the following is the largest Customary Unit of time?
Answer:
The largest Custorary Unit of time is a year
Which description best fits the graph?
Answer:
decreasing, then increasing
Answer:
always increasing
Step-by-step explanation:
i did the iready lesson
. Tickets to a baseball game are $20 for an adult and $15 for a student. A school buys tickets for 45 adults and 600 students. How much money will the school spend for the tickets?
Do not include the dollar sign ($) in your answer.
Answer:
Step-by-step explanation:
900 for adults 9000 for kids in all 9900
Answer:
20 X 45=900 + 15 X 600=9000
the answer is 9900
Step-by-step explanation:
74. A friend devises a game that is played by rolling a single six-sided die once. If you roll a 6, he pays you $3; if you roll a 5, he pays you nothing; if you roll a number less than 5, you pay him $1. Compute the expected value for this game. Should you play this game
Answer:
The expected value is -$0.17
Since it gives a negative expected value, the game is not favorable and should not be played
Step-by-step explanation:
Here, we want to calculate the expected game value and decide if the game is worth playing
Probability of rolling a six is 1/6
Probability of rolling a 5 is 1/6
Probability of rolling a number less than 5 is 4/6 = 2/3
So the only way to win is rolling a six
The expected value is thus;
1/6(3) - 0(1/6) - 2/3(1)
= 1/2 - 2/3
= -$0.17
Since the game gives a negative expected value, it is not favorable and should not be played
In this exercise we want to use probability to calculate the value we will have in total after the event occurs, like this:
The value is -$0.17, with thw negative value, the game should not be played.
Let's organize the information given in the statement, in this way, we will have to:
Probability of rolling a six is 1/6Probability of rolling a 5 is 1/6Probability of rolling a number less than 5 is 2/3So the only way to win is rolling a sixWith this combination of values, we find that the probability will be calculated as:
[tex]1/6(3) - 0(1/6) - 2/3(1)= 1/2 - 2/3\\= -$0.17[/tex]
See more about probability at brainly.com/question/795909
Find n(0)
n(x) = -3x+7
n(x) = -3x + 7
n(0) = -3(0) + 7
n(0) = 0 + 7
n(0) = 7
Hello can you help me the question is:write two equivalent fractions?
Answer:
Step-by-step explanation:
1)8/12=12/18
2)12/20=18/30
3)4/16=6/24
Liana is making muffins.she uses 2 cups to make 12 muffins. How much flour is needed for each muffin
Solution is in image
Answer:
6 cups
Step-by-step explanation:
Best answer gets BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
Which expression is equivalent to 60 - 3y - 9?
A: 3(17 - y)
B: 3(20 - y) -3
C: 17(3 - y)
D: 20(3 -3y) -9
Answer:
the answer has to be 3(17-y)
Step-by-step explanation:
I'm pretty sure about that cause what I did at first is subtract the numbers.
60-3y-9
=51-3y
factor our 3 from the expression.
3(17-y)
Answer:
option A
Step-by-step explanation:
the expression given is equal 60-3y-9= -3y+51
The option A doing the distributive property will give you the same answer
3(17) and 3(-Y) = 51 - 3y
Whit is (1/4x + 3/4x + -1/2x) + 1 + -2/3) =
Answer:
[tex]\dfrac{x}{2}+\dfrac{1}{3}[/tex]
Step-by-step explanation:
We need to find the value of [tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))[/tex]
We can solve it as follows :
[tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))\\\\=(\dfrac{x+3x-2x}{4})+1-\dfrac{2}{3}\\\\=\dfrac{2x}{4}+\dfrac{1}{3}\\\\=\dfrac{x}{2}+\dfrac{1}{3}[/tex]
Hence, the value of [tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))[/tex] is equal to [tex]\dfrac{x}{2}+\dfrac{1}{3}[/tex].
Jeremy 3 pounds of ground beef to make hamburgers how many 1/3 pound hamburgers can he make?
Answer:
its 9
Step-by-step explanation:
3x1/3 you don't do nothing with the 1 so don't
multply it then what you do is 3x3 then you get 9
hope it helps!
Help Please!
Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.
Pls tell me how to convert a fraction into a decimal! I’m having sm trouble understanding:(
Ps: NOT MY COMPUTER!
Sorry if it’s dirty.
Answer:
1. 0.875 2. 0.666… 3. 2.25 4. 0.8333…
Step-by-step explanation:
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number. Hope you get it! :)
he elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x − y = 14
A.
Multiply the second equation by -3. The solution is x = 12, y = 9.
B.
Multiply the second equation by -2. The solution is x = 12, y = 10.
C.
Multiply the second equation by 2. The solution is x = 15, y = 9.
D.
Multiply the second equation by 3. The solution is x = 12, y = 10.
Answer:
D. Multiply the second equation by 3. The solution is x = 12, y = 10.
Step-by-step explanation:
First, look at the y variable of the first equation. It is 3y.
To solve by elimination, the variables have to add together to 0.
So, -3y needs to be added to -3y to eliminate the y variable.
The second equation has the y variable of -y, so it has to be multiplied by 3.
So, answer choice D is the correct answer.
PLEASE HELP ME!!! taking a test rn & need help!!!!
A sample of 600 grams of a radioactive substance decays according to
the function At=600e-0.036t, where t is the time in years. How much of the
substance will be left in the sample after 30 years? Round to the nearest
whole gram.
A. 0 g
B. 2947 g
C. 204 g
D. 1 g
Answer:
After 30 years 204 g of the substance will be left.
Option C is correct option.
Step-by-step explanation:
The function given is: [tex]A=600e^{-0.036t}[/tex]
where t is time in years.
We need to find how much of the substance will be left in the sample after 30 years?
So, we have t= 30
Putting value of t and find value of A
[tex]A=600e^{-0.036t}\\A=600(\frac{1}{e^{0.036*30}})\\A=\frac{600}{e^{1.08}} \\A=\frac{600}{2.94467}\\A=203.75 \approx 204[/tex]
So, After 30 years 204 g of the substance will be left.
Option C is correct option.
The price of a shirt was reduced from $40 to $28. By what percentage was the price of the shirt reduced?
Answer:
10% of 28=2.8
40% of 28=11.2
Step-by-step explanation:
11.2
Answer:
12
Step-by-step explanation:
Jannelle can drive an average of 295 miles on one tank of gas. How many miles
can she drive on 16 tanks of gas?
P
Jannelle could go 4,720 miles hope this helps
Help me please give brainlyest
Answer:
the correct order is 0, then 1/13 then 49/100 then 1/2 then 11/20 then 8/9 and the greatest is 1
Step-by-step explanation:
What is the surface area of a cone with a height of 15 and the diameter of 12?
Answer:
417.62
[tex]A=πr(r+\sqrt{x} h2+r2)[/tex]Step-by-step explanation:
because radius is half of diameter and then you would use this equation to solve
Find the sum of the geometric series.
/3-3/2+3|3/4-9/8+...
Answer:
none of these
Step-by-step explanation:
it's infinite series so answer is in appox.
Expand.
Your answer should be a polynomial in standard form.
(7g+3)(-g-3)=
The slope of the line is m=3/4. One point is (x, 2) and (3,-4)
Find X
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
what is the equation of a line that passes through the points -3,5 and has the slope of zero
Answer:
All lines with zero slope is a horizontal line.
y=mx+c slope is m. If m were zero, any x value substituted in would make y=(0)x+c, y=c.
Sub in the values 5=(0)(-3)+c, c would then be 5. So the equation would be y=5.