Answers
Explanation: 3/4 Multiplied by 36 equals 27
If I understand this right:
3/4=24
24/3=8
8*4=32
You divide the number by the numerator, and then multiply that number by the denominator.
If you mean you want 3/4 of 24 then you divide 24 by 4, which equals 6. And then multiply 6 and 3, which equals 18
Related Questions
The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 26 gallons.
Tank size (gal)(x)
Total cost ($)f(x)
11
24.15
12
26.05
17
35.55
Answers
Answer:
Step-by-step explanation:
If this is linear, then the difference between each x/y coordinate is constant, representing the slope of a straight line. We can find the slope of that line by using the slope formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
For use we will use the coordinates (11, 24.15) and (12, 26.05) from the data as our x and y values respectively. Filling in the formula:
\(m=\frac{26.05-24.15}{12-11}\) which gives us the cost per gallon of gas as
m = 1.90
Now that we know the cost per gallon of gas (which is also the slope of the line we are looking for), we will use that slope value, m, and write the equation in point-slope form and then solve it for y. Point-slope form of a line is
\(y-y_1=m(x-x_1)\) where y1 and x 1 are the coordinates from a given data point. We can use either one; regradless of the point we choose as x and y, we'll get the same exact answer every time. Let's use the coordinate (12, 26.05) and fill in the point-slope form of the line:
y - 26.05 = 1.90(x - 12) and then we will distribute and solve for y:
y - 26.05 = 1.90x - 22.80 and
y = 1.90x + 3.25
That's the equation we need to solve for what the second part of the question is asking us to, which is to find the cost, y, of filling a tank that is 26 gallons, x. Fill in 26 for x and solve for y:
y = 1.90(26) + 3.25 and
y = 49.40 + 3.25 so
y = $52.65
house designer uses computer-aided drawings to illustrate new houses. She likes to show her drawings to clients on a large screen. She often uses the zoom-in function to enlarge the drawings so that clients can see certain features better.
Each click of the zoom-in button results in a 10 percent increase in the size of a drawing.
(a) On a certain drawing of a house, the width of the front door is 3 inches on screen, using the default settings. Make a table of values to show the width of the door on screen after each of the first four clicks of the zoom-in button. These values should be accurate to the thousandths place.
(b) Write an algebraic rule for the function that will give the display size of the door for any number of clicks.
c) To show clients a detail on the front door, she needs to zoom in so the door is approximately 3 feet wide on screen. How many clicks of the zoom-in button will be needed to make this enlargement? Explain how you got your answer.
d) Suppose one click of the zoom-out button results in a 10 percent decrease in the size of the drawing. How many clicks of the zoom-out button would it take to transform the display of the door from 3 feet wide back to a width of approximately 3 inches?
Explain how you got your answer.
Answers
(a) Clicks Width of Door (inches)
1 3.3
2 3.63
3 3.99
4 4.39
(b) The function is y = 3 (1.1)ˣ.
(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.
(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.
(a)
Clicks Width of Door (inches)
1 3.3
2 3.63
3 3.99
4 4.39
(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:
y = 3 (1.1)ˣ
(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:
3 (1.1)ˣ = 36
Dividing both sides by 3, we get:
(1.1)ˣ = 12
Taking the logarithm of both sides (with base 1.1), we get:
x = log(12) / log(1.1) ≈ 14.7
So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.
(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):
36 (0.9)ˣ = 3
Dividing both sides by 36, we get:
(0.9)ˣ = 1/12
Taking the logarithm of both sides (with base 0.9), we get:
x = log(1/12) / log(0.9) ≈ 11.5
So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.
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s is inversely proportional to t . When s = 0.9 , t = 2 Work out t when s = 30
Answers
Hope you will understand
Answer:
Step-by-step explanation:
we can assume that s=k/t,k is unknown constants,0.9=k/2 >> k=1.8,so
30=1.8/t >> t=0,06
You were watching a one hour and 30 min movie, and then you got up and went to the bathroom, when you came back, there was only 34 min left of the movie.
How much have you watched before you went to the bathroom?
Answers
Answer:
56 minutes
Step-by-step explanation:
90-34=56
If it says how long you spent in the bathroom, that should be factored in as well, in which case the answer would be 90-34-(time spent in the bathroom = your answer
Answer:
90-34=56
Step-by-step explanation:
so the answer is 56
Solve the equation 24 = 13n – 4n +9.
n =
Answers
Answer:
n=5/3
Step-by-step explanation:
\(24=13n-4n+9\\24=9n+9\\15=9n\\\\n=15/9\)
simplified it would be 5/3
(If you wouldn't mind, if this helped you, please give brainliest, I'm trying to get an achievement)
In 2010, the population of some countries was 1,200,000 people. From 2010 to 2050, the population is expected to increase by 50%. Find the expected population of the country in 2050.
The population of the country in 2050 is expected to be ______people. (Simplify your answer.)
Answers
Answer:
7,200,000
Step-by-step explanation:
The cylindrical can below will be covered by a label on its lateral surface. Find the surface area of the label to the nearest tenth.
4.5 in height
2.25 in. Radius
O 14.1 in²
O 71.5 in²
O 63.6 in²
O 95.4 in²
Answers
Choose correct way to write three dollars and seventeen cents using the dollar symbol.
Answers
Answer:
$3.17
Step-by-step explanation:
2.865 in expanded form
Answers
Answer: 2.865
Step-by-step explanation:
Write each expression in radical form
\(\sqrt[4]{6^5}\)
Answers
Step-by-step explanation:
This expression in radical form :4√65 =2.838412Part BSales associates at an electronics store eam different commissionpercentages based on the items they sell. The table shows the totalsales and commission earnings for four sales associates at theelectronics store last month.Electronics Store Sales and CommissionsTotal SalesCommissionEarnings5673$22$1.298$37$3,277S101$5.180$150The table below shows the total sales of two sales associates at theelectronics store last month.Electronics Store SalesSales TotalAssociate SalesJon $2,881Tia $4,163Use the model you created in Part A to estimate how much moremoney, in dollars, Tia eamed in commission than Jon. Show orexplain your workEnter your answer and your work or explanation in the boxprovided
Answers
From the table shown:
we need to find the relationship between the commission earnings and the total sales
John's sales = $2881
Tia's sales = $4163
Note that:
$2881 falls between $1298 and $3277
Using the extrapolation formula:
\(\begin{gathered} Y(x)\text{ = Y(1) + }\frac{x-x(1)}{x(2)-x(1)}\times\text{ \lbrack{}Y(2)-Y(1)\rbrack} \\ 2881\text{ = 1298 + }\frac{x-37}{101-37}\times\lbrack3277-1298\rbrack \\ 51.2\text{ = x - 37} \\ x\text{ = 51.2 + 37} \\ x\text{ = 88.2} \end{gathered}\)Jon's commission = $88.2
For Tia's commission:
PLEASE HELP
A busy candy stores going to replace their current gumball machine with a giant gumball machine. The globe on the current gumball machine is 22 inches in diameter and the volume is 5575 in.³ compared to what has been ordered the current gumball machines volume is 532 in.³ less than 1/4 of the volume of the globe of the giant gumball machine.
3. Carry out your plan from question to what is the volume of the globe on the new gumball machine you can round your final answer to the nearest whole number. Be sure to check your work.
4. Is your answer to question through the real solution or an extraneous solution explain how you?
Answers
3. The volume of the new gumball machine is of 861.75 in³.
4. This is a real solution, as it is a positive number.
How to obtain the volume of the new machine?The volume of the old machine was of:
5575 in.³
(as stated in the problem)
The volume of the new machine is obtained as follows:
532 in.³ less than 1/4 of the volume of the globe of the giant gumball machine.
One fourth of the volume of the old machine is obtained as follows:
1/4 x 5575 in³ = 1393.75 in³.
532 in.³ less than that is obtained as follows:
1393.75 - 532 = 861.75 in³.
An extraneous volume is a negative value to the volume, as the volume cannot be negative. Since the number is positive, it represents a real solution.
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HELP ASAP WILL MARK BRAINLIEST!!!!
Answers
Answer:
(-14,0)
Step-by-step explanation:
lets find the equation of the line first
so lets take two points (-74,18) and (-54,12)
so slope is rise/run= -6/ 20 or -3/10
plugging into the equation
y= mx+b
we get
12= 5.4*3+b
12= 16.2+b
b= -4.2
so equation is y= -.3x-4.2
simplyfying we get
10y= -3x-42
3x= -10y-42
x= -10y-14
so we see that the x intercept is (-14,0)
if my answer helps please mark as brainliest.
Answer:
-14,0
Step-by-step explanation:
I have another riddle.
If you buy one rabbit and a rabbit can produce 5 per year, then how many rabbits will you have in 9 years?
Answers
Total number of rabbits produced in 9 years will be 45.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a rabbit can produce 5 new rabbits per year
Total number of rabbits produced in 9 years will be -
n = 5y = 5 x 9 = 45 new rabbits
Therefore, total number of rabbits produced in 9 years will be 45.
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Object A is moving at 30 ft per sec. Object B is moving at 20 mph.
Answers
Answer:
what we have to find or to prove.
Solve the system of equations x+y=-1 and 5x-7y=79 by combining the equations.
Answers
9514 1404 393
Answer:
(x, y) = (-6, -7)
Step-by-step explanation:
Multiply the first equation by 7 and add that to the second.
7(x +y) +(5x -7y) = 7(-1) +(79)
12x = 72
x = 6
y = -1 -x = -1 -6 = -7
The solution is (x, y) = (6, -7).
If f(x)= 5x + 40, what is f(x) when x = -5?
Answers
Answer:
f(x) = 15
Step-by-step explanation:
"If f(x)= 5x + 40, what is f(x) when x = -5?"
Substitute x for -5:
f(x) = 5x + 40
f(x) = 5(-5) + 40
f(x) = -25 + 40
f(x) = 15
Function and notaion.
Answers
Answer: 45
Step-by-step explanation:
Function notation: is another way of writing a function to make it easy to understandInstead of the independent and dependent variables being x and y they are now x and f(x)f(x) can be interpreted as the y value at a given x value in this case f(-5) must be solved for, essentially saying what is y when the x value is -5\(f(-5)=2(-5)^{2} -5\)
\(f(-5)= 2(25) -5\)
\(f(-5) = 50-5\)
\(f(-5) = 45\)
Identify the focus and directrix of the parabola represented by the equation (y-2)^2= 24 (x-5)
Answers
Answer: Directix= -1
Focus (11, 2)
Step-by-step explanation:
Explanation it’s 1
Using only addition and multiplication, combine the single -digit numbers 1,2,3,4,5,6,7,8,9. So they total 100. the number must stay in the same order (Parentheses are not needed)
Answers
It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.
To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:
1 + 2 + 3 + 4 + 5 + 6 + 78 + 9
In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:
1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108
Unfortunately, the sum obtained from this expression is 108, not 100 as required.
It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.
Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.
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Need done soon pls! Super easy
Answers
Answer:
choose 3rd option
Step-by-step explanation:
How does the value of 874.12 change if the decimal point is moved two places to the left?
Answers
I would think it would be 8.7412
I need help with this ion understand it
Answers
Answer:
c. 30
Step-by-step explanation:
Reference angle = \( /theta \) = ?
Hypotenuse = 23
Adjacent side = 20
Thus, applying CAH:
\( Cos(/theta) = \frac{adj}{hyp} \)
\( Cos(/theta) = \frac{20}{23} \)
\( /theta = cos^{-1}(\frac{20}{23}) \)
\( /theta = 29.5918458 \) ≈ 30° (nearest degree)
Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
Answers
Answer:
y=-1/3x+6 .Hope this helps
Answer:
3y = -x + 18
Step-by-step explanation:
Given the equation y = 3x + 2;
By comparison with the general equation
y = mx + C ; where m is the slope
We see that m = 3
Now for a perpendicular line and it's slope is -1/m = -1/3 and let it be M2
But the new slope cuts across points (3,5) .
It means M2 = y - 5/ x-3
-1/3 = y-5/ x-3
-1(x-3) = 3(y-5)
-x +3 = 3y -15
3y = -x + 18
√40 is a rational number.
O False
O True
Answers
Answer:
false because simplifying it would be 2(square root 10) so it will be an irrational number
Emilia and Joshua shared some money in the ratio 1:6.
Emilia received £15.
How much did Joshua receive?
Answers
Answer:
15x6
Step-by-step explanation:
do 15x6 and what that is, is the answer
A television regularly costs $180, but it is on sale for 40% off. There is a 5% sales tax on the sale price. How much does the television cost after the discount and sales tax?
Answers
Answer:
$113.4
Step-by-step explanation:
If it is 40% off then it is 100-40 = 60% of original price.
So we do 180$ * .6 = $108 before tax.
To add on tax we do: 100 + 5 = 105% of that price.
So we do: $108 * 1.05 = $113.4 after discount and tax.
BRAINLIEST!!! (Please help)
In the diagram, assume that y= 7. Find x and z.
A)
<= 7 V3; 2= 14
B)
x = 14; 2= 7 V3
©
x= 7 V2; 2 = 14
D)
x = 14; 2= 7V2
Answers
Answer:
A
Step-by-step explanation:
- to find x we use tan 60 = x/7
- rearrange, tan60*7 = x, x = \(7\sqrt{3}\)
- now you have two sides so you can use pythagoras to find z
y^2 + x^2 = z^2
z = \(\sqrt{(7\sqrt{3})^2 + (7)^2 }\)
z = 14
Determine the measure of the arc CED
Answers
Answer:kbef;eohrjkvoubwe
cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?
A.
Kendall might be determined to be insane and not qualified to testify.
B.
The evidence in Kendall’s case is inconclusive and doesn’t prove anything.
C.
Kendall is an expert witness who has testified many times before.
D.
The police think it will hurt their case if Kendall chooses to testify.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Arc length= \(\frac{interior angle}{360} 2\pi r\)
y = 8x- 18
y-intercept:
x-intercept
:
Answers
Answer:
the y-intercept is -18
Step-by-step explanation:
hope i couldve help :)