Answer:
1/4
Step-by-step explanation:
Simplify the following:
(3^2/6^2)/(2^2/2^2)
Multiply the numerator by the reciprocal of the denominator, (3^2/6^2)/(2^2/2^2) = 3^2/6^2×2^2/2^2:
(3^2×2^2)/(6^2×2^2)
(3^2×2^2)/(6^2×2^2) = 2^2/2^2×3^2/6^2 = 3^2/6^2:
3^2/6^2
6^2 = 36:
3^2/36
3^2 = 9:
9/36
The gcd of 9 and 36 is 9, so 9/36 = (9×1)/(9×4) = 9/9×1/4 = 1/4:
Answer: 1/4
100 points. Easy question.
Topic: Fractions.
ONLY COMPLETE QUESTION 1
Answer: 1/4 full.
Step-by-step explanation:
The question is asking for how much gas will be left in the tank after 2/3 of the gas in the tank is used.
There is currently 3/4 of the tank remaining.
To find 2/3 of 3/4, you can multiply the fractions together.
Do this by multiplying both numerators and both denominators:
[tex]\frac{2}{3} *\frac{3}{4} = \frac{2*3}{3*4} = \frac{6}{12}[/tex]
Then, subtract 6/12 from 3/4. You can do this by simplifying the first fraction to 2/4 (divide both the numerator and denominator by 3).
3/4 - 2/4 = 1/4
There will be 1/4 of the tank left.
Answer:
1/4
Step-by-step explanation:
We have 3/4 of a tank
We will use 2/3 of the gas in the tank
See the diagram That will leave us 1/4
Mathmatically
3/4*2/3 = 2/4 =1/2 this is the amount that is used
Subtract this from the amount in the tank
3/4 -1/2
3/4 -2/4 = 1/4
This is the amount that is left in the tank
help me with this for brainitest
Answer:
The top two are 3 and 4.
The bottom two are both 6.
Step-by-step explanation:
You see how the top one is a 7, you divide it into 2 in any way.
Like how I did 3 and 4 which would equal to 7, it can also be 6 and 1 etc..
And for the bottom one it doesn't change.
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
Find the remainder when x square-5x+3 is divided by x-3.
(PLEASE ANSWER ASAP I NEED IT IN A FEW MINUTES I WILL MARK BRAINLIEST) Jenna bakes pie at her bakery. She gets a 10 pound block of butter for $30.30. Each pound of butter is 2 cups. Each pie she makes requires 3/4 cup of butter. How many pies can she make? What is the cost of butter per pie?
Answer:
With that amount of butter she can make 26 pies.
For each pie she spends $1.13625 of butter.
Step-by-step explanation:
We first need to convert the total amount of butter she has from pounds to cups, to do that we need to multiply by 2, since for each pound she has 2 cups of butter, therefore:
butter in cups = 10*2 = 20 cups
Since each pie requires 3/4 cups of butter in order to calculate the number of pies she can make we need to divide the total amount of butter she has by the amount required for each pie. We have:
number of pies = total butter in cups / butter for one pie
number of pies = 20 / (3/4) = 20*(4/3) = 80/3 = 26.667
Since she can't make 0.66 pies, we will need to take only the integer part in consideration, therefore she can make 26 pies.
In order to know the cost for each pie we first need to know the cost for each pound of butter, to calculate that we take the total amount paid by her and divide it by the amount of butter she got.
price of butter per pound = 30.3/10 = 3.03
So each pound of butter costs $3.03 and is equivalent to 2 cups, we can make a rule of three to find the cost for each pie as shown below:
2 cups -> $3.03
3/4 cups -> $x
2/(3/4) = 3.03/x
2*(4/3) = 3.03/x
8/3 = 3.03/x
8x = 9.09
x = 9.09/8 = $1.13625
For each pie she spends $1.13625 of butter.
The volume of a cylinder is 48piπ cubic feet. The area of the base is 12piπ square feet. What is the height of the cylinder?
Answer:
h = 4
Step-by-step explanation:
The volume of a cylinder is [tex]\pi r^2*h[/tex]
V = 48π
AB = 12π
So since the area of the base is 12π, you can find the height by simply dividing 48π by it.
48π ÷ 12π = 4
2(2x + 7) - 7(x+1)= 28
2(2x+7)-7(x+1)=28
4x+14-7x-7=28
4x-7x=28+7-14
-3x=28-7
-3x=21
pls mark mine as brainliest :D
x=-7
Celia drank 2 3 liter of water Monday before going jogging. She drank 3 7 liter of water after her jog. How much water did Celia drink altogether? Write your answer as a mixed number.
Answer:
23/21 liters
Step-by-step explanation:
Celia drank
Before going jogging=2/3
After jogging=3/7
Total amount of water drank by Celia=2/3+3/7
L.C.M of the denominators 3 and 7 is 21
=14+9/21
=23/21
=1 2/21 liters
Answer: 23/21
Step-by-step explanation:
Litre of Water drank before jogging = 2/3
Litre of water drank after jogging = 3/7
The total amount of water drank altogether ;
2/3 + 3/7
The lowest common factor of 3 and 7 = 21
= (14 + 9)/21
= 23/21 litres
= 1 2/21 litres [1 whole number 2/21]
A rectangular sign measures 8 m by 6.5 m. One litre of paint covers 14 square meters. How many litres of paint are needed to paint the sign with 2 coats of paint? (Answer to 1 decimal place)
Answer:
7.4
Step-by-step explanation:
find the area of rectangular sign8times6.5)=52,take if 1l=14m^2 what about 52 then multiply by 2Which of the following tables represents the equation y=2x-1
Answer:
There are no tables, but... I made a quick graph.
Step-by-step explanation:
y=2x-1 means that you start at (0,-1), one down from the origin (0,0). From there, you go up 2 and right one (1, 2), as well as down 2 and left 1 (-1, -2), since the slope is 2 (or [tex]\frac{2}{1\\}[/tex]). The lines continues in both directions, of course.
The table for the equation is y = 2x - 1
x y
0 -1
1 1
2 3
How to determine the tableTo determine which table represents the equation y = 2x - 1, we substitute the values of x into the equation and check if the resulting y values match those given in the table.
Substitute the values 0, 1, and 2 into the equation y = 2x - 1 and calculate the corresponding y-values:
For x = 0:
y = 2(0) - 1
y = 0 - 1
y = -1
For x = 1:
y = 2(1) - 1
y = 2 - 1
y = 1
For x = 2:
y = 2(2) - 1
y = 4 - 1
y = 3
The corresponding y-values for x = 0, 1, and 2 are -1, 1, and 3, respectively.
Learn more about tables at
https://brainly.com/question/12151322
#SPJ6
Heng Roth invests $9000 at 2%
per annum compound interest daily. What
is his amount at the end of the third day?
(1 year =365 days)
Answer:
After three days Heng will have 9000.15 in his account.
Step-by-step explanation:
In order to solve this problem, we must apply the correct formula, which is given below:
[tex]M = C*(1 + r/n)^{n*t}[/tex]
Where M is the final amount, C is the money invested, r is the annual interest rate, n is the number of times the money gets compounded in a year and t is the time elapsed. Since in this account the money is compounded daily, it means that for each year it gets compounded 365 times, therefore n = 365. The ammount will be compounded for 3 days, therefore we must convert this value to years in order to apply it in the "t" variable, we do that by dividing it by 365. With this knowledge we can solve the problem as shown below:
[tex]M = 9000*(1 + \frac{0.002}{365})^{365*\frac{3}{365}[/tex]
[tex]M = 9000*(1.000005479)^{3}\\M = 9000.15\\[/tex]
After three days Heng will have 9000.15 in his account.
A 2-column table with 3 rows. Column 1 is labeled Item with entries salad, soup, drink. Column 2 is labeled Cost with entries 7 dollars, 3 dollars, 2 dollars and 50 cents.
The table shows the cost of several items at a restaurant including tax.
Pia ordered a salad and a drink. She paid with a $20 bill. How much change should she receive?
$
Answer:
10.50
Step-by-step explanation:
Answer:
C and D on E2020
Step-by-step explanation:
Can somebody give me a quick answer will mark brainliest.
Answer:
The value of [tex]x[/tex] :
[tex]x = 16[/tex]
Step-by-step explanation:
-To find the value of x, you need to use [tex]3x + 18[/tex] and [tex]66\textdegree[/tex] written as in equation like this:
[tex]3x + 18 = 66[/tex]
-Then, you solve for it:
[tex]3x + 18 = 66[/tex]
[tex]3x + 18 -18 = 66 -18[/tex]
[tex]3x = 48[/tex]
[tex]\frac{3x}{3} = \frac{48}{3}[/tex]
[tex]x = 16[/tex]
So, therefore the final answer is [tex]x = 16[/tex].
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a side of 15. If the volumes of the two prisms are equal, what is the height of the second prism?
picture is here
Answer:
Step-by-step explanation:
the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.
the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height
v = length x width x height
2700 = (15)(15)h
2700/225 = h
the height is 12
Eric is preparing for a regional swim meet that is a month away. He swims the same distance and clocks his best time on several different days. He plots the best time (in minutes) he swam each day as his y-variable and the day he swam it as his x-variable. When he plots his times and finds a line of best fit, he gets the equation y=−0.03x+3.45.
If Eric continues to practice, on the 15th day his best time for the day should be _[blank]_ minutes.
Enter the value that correctly fills in the blank, like this: 42
Do not round your answer.
Answer:
On the 15th day his best time for the day is 3 minutes.Step-by-step explanation:
The line that best fits is
[tex]y=-0.03x+3.45[/tex]
Where [tex]x[/tex] is days and [tex]y[/tex] is time in minutes. So, we have [tex]x=15[/tex], replacing this in the equation and solving for [tex]y[/tex], we have
[tex]y=-0.03(15)+3.45=-0.45+3.45=3[/tex]
Therefore, on the 15th day his best time for the day is 3 minutes.
What is the answer to 150% of 224?
Answer: 336
Step-by-step explanation:
Answer:
336
Step-by-step explanation:
answer of 150% of 224 is336
Area of the plane figure
Answer:
Area = 16.8 * 7 / 2 = 58.8 ft2
Step-by-step explanation:
Have
18.2^2 = 7^2 + a^2
-> a^2 = 18.2^2 - 7^2
-> a^2 = 282.24
-> a = 16.8
Area = 16.8 * 7 / 2 = 58.8 ft2
Can someone help me with this
Answer:
Rectangle. length x width = area
10x4=40
triangle. base x height / 2 = area
3x4=12/2=6
40+6= a total of 46 square meters
Step-by-step explanation:
Simplify the expression by combining like terms.
22+5−4+7−8
Answer:
22
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
22 add 5 subtract 4 add 7 and subtract 8
Find m∠ABD
picture is attached
Answer:
DC = DA Given
DB = BD Reflexive property
ΔDCB ≅ ΔDAB LH
∠DBC = ∠ABD = 20°
Hope this helps!
List all the factors of 6
Is American Dream for Everyone? Explain.
Answer:
There are many ideals that appear in American literature such as, but not limited to, all people are equal, The United States of America is the Land of Opportunity, independence is valued, The American Dream is attainable, and everyone can succeed with hard work and determination.
Determine the equation of a line that passes through the point (-8,5) and is perpendicular to 4x - y + 3 = 0
Please help me
Answer:
y= -1/4x+3
Step-by-step explanation:
What do u add to 5 4/9 to make 8
Answer:
erm
Step-by-step explanation:
2 5/9
Answer:
2 5/9
Step-by-step explanation:
8-5 4/9=2 5/9
what’s the answer to this math problem?plz answer
Answer:
B
Step-by-step explanation:
Graph B represents a linear function.
Notice that graph D also shows a line, but it is not the graph of a function, since it doesn't pass the vertical line test for functions.
Graph A shows a quadratic function, and graph C shows likely an exponential function. It is graph B the one that is linear, and a function as well.
Answer: It is B.
Step-by-step explanation:
A is a quadratic function
B is a linear function because it is a straight line and every input has exactly one output.
C is a is not straight
D failed the vertical line test.
Last question: What equation represents three less than five times a number is twelve?
A. 3 - 5x = 12
B. 5x - 3 = 12
C. 5(3 - x) = 12
D. 5(x - 3) = 12
Answer:
B, 5x - 3 = 12
Step-by-step explanation:
3 less means subtracting, it's going to be -3.
It says 3 less than five times a number, meaning we don't know the number, so we can put it as x.
3 less means your subtracting from something, which would make it 5x - 3.
Finally, they state that it equals 12, making the equation 5x - 3 = 12.
Solve the inequality. Graph the solution.
−1.4 ≤ h + 1.1
Answer:
Step-by-step explanation:
- 1.4 < h + 1.1
Solve for H. Get H by itself by subtracting 1.1 on both sides of the equation.
-1.4 - 1.1 = - 2.5
-2.5 < h
_
Determine if the question posed is a statistical question (yes) or not (no). How many students passed the math test?
Answer:
How to add a great answer
How to add a great answer
Step-by-step explanation:Determine if the question posed is a statistical question (yes) or not (no). How many students passed the math test?Bună ziua. La pagina 169 aveți o altă piesă de teatru. Vă rog să o citiți și să răspundeți la întrebările 1,2,4,7,8/ pag. 170.
Sper că vă scrieți toate lecțiile în caiet! Sunt copii care încă nu mi-au trimis nicio temă. Vă rog să vă mobilizați! Când ne întâlnim vă verific caietele. Mult spor!
Brainliest question please please help me now plz
Answer:
[tex] \frac{8}{17}[/tex]
Step-by-step explanation:
[tex] \because \cos (\beta) =\frac{BC}{AB}\\\\
\huge \red {\boxed {\therefore \cos (\beta) =\frac{8}{17}}} [/tex]
Determine the area of the rhombus base 6 height 4
Pleaseeeeee helpppppppp i will mark brainlest
Answer:
a. x = 61 degrees.
Step-by-step explanation:
By the External angle of a Triangle Theorem:
116 = 55 + x
x = 116 - 55
x = 61 degrees.
Answer:
a) 61
Step-by-step explanation:
The classic way to do this is to subtract 116 from 180, then adding that result to 55 and subtracting this second result from 180.
But another way that I have discovered is to subtract 55 from 116. You will get the same answer of 61.