Hi! I'm here to help. So what you're gonna wanna do is do 6 divided by 2.
6 / 2 = 3
Have a good day/night!
Answer:
[tex]2/6=1/3[/tex]
the scale on a map is 1 cm : 7km. if two cities are 15 cm apart of the map, what is the actual distance between the cities?
Answer:
x = 105 km
Step-by-step explanation:
We can use ratios to solve
1 cm 15 cm
------------ = ------------
7 km x km
Using cross products
1 * x = 7 * 15
x = 105 km
Answer:
[tex]105km[/tex]
c
Step-by-step explanation:
[tex]1cm = > 7km \\ 1cm = > 700000[/tex]
[tex]1 : 70000[/tex]
[tex]1cm = > 700000cm \\ 15cm = > x[/tex]
[tex] \: 1 \: \: \: : 700000 \\ 15 : x[/tex]
Use cross multiply
[tex] \\ 1x = 15 \times 700000 \\ x = 10,500,000 \\ [/tex]
so,
[tex]1cm = > 700000cm \\ 15cm = > 10,500,000 cm[/tex]
[tex]15cm = 10,500m \\ 15cm = 105km[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which of the following is the factored form of the quadratic *
12x^2+5x-2=0
1.(4x - 1)(3x - 2)
2.(4x - 1)(3x + 2)
3.(4x + 1)(3x - 2)
Answer:
2
Step-by-step explanation:
[tex]12x^2+5x-2=\\\\(4x-1)(3x+2)[/tex]
You can check this by working backwards and expanding:
[tex](4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2[/tex]
Hope this helps!
I will mark you brainliest!!!! What is the first step in adding these equations to eliminate y?
Answer:
I believe D
Step-by-step explanation:
If you multiplied -3 times 3 that would make -9
you can then add 9 + -9 and cross y off
Simplify this problem
Answer:
[tex] \boxed{ \frac{ \sqrt[3]{ {x}^{11} } }{4} } [/tex]
Step-by-step explanation:
[tex] = > \frac{ {x}^{4} }{ \sqrt[3]{64x} } \\ \\ = > \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} } )\times ({x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } ) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4 - \frac{1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{12 - 1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{11}{3} } }{4} \\ \\ = > \frac{ \sqrt[3]{ {x}^{11} } }{4} [/tex]
When thrown upward at a velocity of 16 feet per second, the height f of
an object in feet at the end of t seconds is given by the formula f =-16t+16t?
After approximately how many seconds will an object reach a height of 32 feet?
5 seconds
2 seconds
3 seconds
None of the choices are correct.
Answer:
b) 2 seconds
t=2 seconds will an object reach a height of 32 feet
Step-by-step explanation:
Explanation:-
Given height f =-16t+16t² ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{df}{dt} = -16(t) +16(2t)[/tex]
Equating Zero
- 32 t + 16(2t) =0
- 16 t = -32
t = 2 seconds
Given height f =-16t+16t²
f = - 16 (2) +16(4) = -32 +64= 32feet
Conclusion:-
t=2 seconds will an object reach a height of 32 feet
Mr. Malone is contemplating which chauffeured car service to take to the airport. The first costs $28 upfront and $2 per mile. The second costs $13 plus $5 per mile. For a certain driving distance, the two companies charge the same total fare. What is the distance?
Answer:
The distance is 8 miles.
Step-by-step explanation:
First, we need to write an equation for each of chauffeured car services.
The first one = 28 + 2x = ?
The second one = 13 + 5x = ?
Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.
I first plugged in 2 as x.
28 + 4 = 32
13 + 10 = 23
That didn't work, so I then plugged in 5.
28 + 10 = 38
13 + 25 = 38
So 5 would be the correct answer for what is the distance.
The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.
The number of times one needs to use the completely filled cone to completely fill the cylinder with water is
Well, we would find the volume of both the cylinder and the cone.
The formula to find the volume of a cylinder is V = \pi r^{2} h.
The formula to find the volume of a cone is V = \frac{1}{3} \pi r^{2} h.
Now, when using pi (the symbol \pi ), if the problem asks to use the approximate value of pi as 3.14, we'll use 3.14 to represent pi. If the problem asks for the exact answer, then we'll just put the pi sign next to our final answer we've gotten.
We can do both ways to solve with pi. Tho let's solve using the approximate value of pi.
One more thing. When there's an exponent in the problem, (such as r^{2} in the problem), that just means you would multiply the base, (which is r in r^{2} ), by itself the number of times the exponent, (which is the number 2 in r^{2} ), shows. For example, if it was 3^{2} , that would just mean we would multiply 3 times itself twice. So 3^{2} would be the same as 3 times 3, which is 9. When you deal with variables in a problem, (the letters used to represent a value in the equation, such as a, b, c, d, etc.), they're solved in multiple ways. If a number is next to a variable, (for example, 3b), it would mean you are supposed to multiply the number times the variable. If a number is next to parenthesis, that would mean you would multiply the number times the answer from the parenthesis. In formulas, when all the letters and numbers are squished together in one line, that means you would multiply all of them times each other after they're individually solved. In this problem, r = radius and h = height.
So without further-a-do, let's begin! :)
So the question says that the radius of the cylinder is 10 centimeters, and the height is 20 centimeters. According to the formula given above, we would multiply the radius times itself twice, which would be 10 times 10, which equals 100, then multiply it by the height which is 20, so 100 times 20 = 2,000. If we were to find the exact volume, it would be 2,000 with the pi sign next to it, which would be 2,000 \pi . Though, let's find the volume with the approximate value of pi, 3.14. So 2,000 times 3.14 is 6280. The exact volume of the cylinder is 2,000 \pi and the approximate volume is 6280.
Now after we find the volume of the cone, we would need to find out how many times we'd need to use the cone to fill up the cylinder's volume.
To find the volume of the cone, we would do the same as last time. Since the cone's radius is 5 centimeters, and its height is 10 centimeters, we would first multiply the radius times itself twice, which would be 5 times 5, which is 25, then multiply that by the height, which would be 25 times 10, which is 250. The fraction part of the formula means this- the numerator "1" means you would multiply what you have so far times 1, and the denominator "3" means you will divide what you have so far NOW by 3. So 250 times 1 = 250, and 250 divided by 3 = 83.3333333333, though we'd say that answer up to the hundredths place, which would be 83.33. If you need the exact answer, we'd put the pi sign next to it as 83.33 \pi , and you're done.Tho we didn't find the approximate volume of the cone.So we'd trace back to what answer we had before moving on to the step with the fraction \frac{1}{3} . Since we were on 250, we'd multiply that by 3.14, which is 785, and continue with what we did with the fraction. 785 times 1 = 785, and 785 divided by 3 = 261.666666667, and saying the answer up to the hundredths place, the approximate volume of the cone would be 261.66
Now since we know the volume of the cylinder, exact = 2,000 \pi and approximate volume = 6280, this means this is how much of the cylinder should be filled when we use the cone to pour in the water.
We could easily determine this by division.
Finding with the exact volume, you would do 2,000 (from cylinder's volume) divided by 83.33 (from cone's volume), which is 24.0009600384, and since it's not a whole answer, you would move it up a whole number. Why you may ask? Well you can't pour 0.0009600384 of a cone's volume into the cylinder now can you? :P So it would take 25 times of pouring the cone filled with water into the cylinder in order for the cylinder to be full using the exact volumes of both objects.
Now finding with the approximate volumes of both objects, we'd do the same we did last time. The cylinder's volume divided by the cone's volume, which is 6280 divided by 261.66, would be 24.0006114805, and saying the answer up to the hundredths place, 24.00, but for the same reason as the last one when we were using the exact volumes, we'd round 24 up a whole number, so it would approximately take 25 times to fill the cylinder with the cone.
Either way, using exact or approximate volumes, your final answer would be 25 times. =DI hope I helped! ^-^
By calculating the volume of cone and cylinder, we find that one need to 24 times use the completely filled cone to completely fill the cylinder with water.
What is volume of cone and cylinder?
The volume of cylinder is equal to the product of the area of the circular base and the height of the cylinder.
The volume of cone will be equal to one-third of the product of the area of the base and its height.
For a cylinder, the formula is πr²h. For a cone it is 1⁄3πr²h.
Volume of cylinder = π[tex]r^{2}[/tex]h = π * 10* 10 * 20 = 2000π
Volume of cone = [tex]\frac{1}{3}[/tex]*π[tex]r^{2}[/tex]h = 1/3 * π * 5 * 5 * 10 = 250 π/3
Number of times one needs to use the completely filled cone to completely fill the cylinder with water =
= Volume of cylinder/Volume of cone
= 2000π / (250π/3) = 24
Learn more about volume of cone and cylinder here
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Keep it 1000 someone who knows that they doing 20 points
Answer:
Box 1 is F and Box 2 is -62.1
Answer:
5/9( F -32) = -62.1
Step-by-step explanation:
5/9( F -32) = C
We have the Celsius temperature and want to find the Fahrenheit temperature
5/9( F -32) = -62.1
Find the midpoint of the line segment with end coordinates of: ( − 2 , − 5 ) and ( 3 , − 2).
Give coordinates as decimals where appropriate.
Answer:
Midpoint of the line segment = ( 0.5 ,-3.5) =
Step-by-step explanation:
Given the co-ordinates of two points are
(-2 , -5) and ( 3, -2)
Let (x₁ , y₁) = ( -2 , -5)
(x₂ , y₂) = ( 3 , -2 )
Midpoint of the line segment
= [tex](\frac{x_{1} +y_{1} }{2}, \frac{x_{2}+ y_{2} }{2} )[/tex]
Midpoint of the line segment
= [tex](\frac{-2 +3 }{2}, \frac{-5- 2 }{2} )[/tex]
Midpoint of the line segment = ( 0.5 ,-3.5)
The Retained earnings account has a credit balance of $54,000 before closing entries are made. Total revenues for the period are $72,200, total expenses are $48,300, and dividends are $15,800. What is the correct closing entry for the revenue accounts?
Answer: $62100
Step-by-step explanation:
The following can be deduced from the information given in the question:
Credit balance = $54000
Total revenues = $72,200
Total expenses = $48,300
Dividends = $15,800
Closing entry= Credit balance + Total revenues - (Total expenses + Dividends)
= $54000 + $72,200 - ($48300 + $15800)
= $126200 - $64100
= $62100
Factor −1/9 out of −1/9x−3.
Answer:
-1/9 (x+27)
Step-by-step explanation:
Divide the whole expression by -1/9.
-1/9x becomes x
-3 becomes + 27
Henry decides to start an investment savings account. He initially deposits $500 dollars to the bank. Every year, Henry's bank account increases by 15%. Assume x represents the number of years and y is the amount of money in the bank. Which function models this situation below?
Answer:
[tex]y= 500(1+0.15)^x[/tex]
Step-by-step explanation:
This problem can be solved using concept of compound interest
In compound interest
if p is the principal amount
and r is the interest rate
then value of principal amount(A) after n years time is given by
A = p(1+r)^n
=>[tex]A = p(1+r)^n[/tex]
__________________________________
in the problem
in place of n we have x years
y is the amount which is the total amount after n years
p is the principal money deposited = $500
r = 15%
substituting these value in the formula for amount after n years we have
[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]
Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]
What is the value of x?
Answer:
4
Step-by-step explanation:
LJK is a special right triangle with angle measures of 90° 60° 30°
If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2
LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4
What is the slope of the line in the graph?
Answer:
-3/2
Step-by-step explanation:
Take any two points on the line and calculate the slope using the formula
(y2-y1) / (x2-x1) and you should get your slope.
Does the graph change between point A and point B
Select the correct answer from each drop-down menu.
Let e(x) be the elevation, in meters, of a cable car from the ground, x minutes after it begins descending from the top
e(t) = 840 – 52.51
meters from the ground
minutes after it
Since e(14) = , the elevation of the cable car will be
from the top of the hill,
Corrected Question
e(x)=840-52.5x
Let e(x) be the elevation, in meters, of a cable car from the ground, x minutes after it begins descending from the top of a hill. Since e(14) = ?, the elevation of the cable car will be meters from the ground minutes after it begins descending from the top of the hill.
Answer:
e(14) =105 meters
Elevation of the cable car 14 minutes after it begins descending from the top of the hill= 105 meters from the ground
Step-by-step explanation:
Given the elevation, e(x) in meters, of a cable car from the ground , x minutes after it begins descending from the top of a hill.
e(x)=840-52.5x
e(14)=840-52.5(14)
e(14)=840-735
e(14)=105 meters
Since e(14) =105 meters, the elevation of the cable car will be 105 meters from the ground 14 minutes after it begins descending from the top of the hill.
Which expression is equivalent to this one??? Cuhhhhhhhhhh...,,,!!!
Answer : The equivalent expression of the given expression is 1.
Step-by-step explanation :
According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).
The given expression is:
(11²)⁴ ÷ 11⁸
First we have to solve bracket.
= (11)⁸ ÷ 11⁸
By dividing this expression, we get:
= 1
Therefore, the equivalent expression of the given expression is 1.
C. 0.045
What is the length of line DE in the figure
bellow?
20cm
cm
13cm
D
21cm
9cm
racing car Covered
B. 16cm
D. 11cm
d:
Answer:
can you please give a correct question next time or please make the question clear for the answerer.
thank you
What does a small Mad tell you about a set of data?
Answer:
The numbers are closer to each other and the range will be smaller. The numbers will also be closer to the mean and median.
Step-by-step explanation:
II. Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.A. And if the first payment of $10,000 is received at the end of 10 years
Answer:
$26934.56
Step-by-step explanation:
The present value of an annuity is the current value of payments gotten from an annuity in the future, given a rate of return, or discount rate. The present value of an annuity (PVOA) is given by the formula:
[tex]PVOA=payment*\frac{[1-(1+r)^{-n}]/r}{(1+r)^{t-1}}[/tex]
n = 20 years, t = 10 years, r =12% = 0.12, payment = $10000
[tex]PVOA=10000*\frac{[1-(1+0.12)^{-20}]/ 0.12}{(1+0.12)^{10-1}}[/tex] = $26934.56
Which model represents a fraction greater than Three-fifths? A circle divided into 5 equal parts. One part is shaded. A circle divided into 10 equal parts. 5 parts are shaded. A circle divided into 6 equal parts. 2 parts are shaded. A circle divided into 10 equal parts. 8 parts are shaded.
Answer: A circle divided into 10 equal parts with 8 parts shaded
Step-by-step explanation:
Alright, there are a lot of words here so lets write them down as fractions so its easier to compare.
A circle divided into 5 parts with 1 part shaded = 1/5
A circle divided into 10 parts with 5 parts shaded = 5/10
A circle divided into 6 parts with 2 parts shaded = 1/3
A circle divided into 10 parts with 8 parts shaded = 8/10
Okay so looking at this we can see that they don't have a common denominator so lets fix that
1/5 = 6/30
5/10 = 15/30
1/3 = 10/30
8/10 = 24/30
3/5 = 18/30
Now lets find which one is greater than 3/5
Only the 24/30 one is greater, and looking back that is the circle divided into 10 parts with 8 of them shaded.
Answer: B for short
Step-by-step explanation:
All credit to the person above me! <3
85 percent of 2500cm
Answer:
2125
Step-by-step explanation:
of means multiply
85% * 2500
Change to decimal form
.85* 2500
2125
Given f(x) = 3/4x + 12, find the value of x when f(x) = x.
Answer:
48 =x
Step-by-step explanation:
3/4x + 12 = x
Subtract 3/4 x from each side
3/4x + 12-3/4x = x-3/4x
12 = 1/4x
Multiply each side by 4
12*4 =1/4x *4
48 =x
Answer:
x=48
Step-by-step explanation:
f(x) is basically just another way to write y.
If f(x)=x, then y=x.
x=3/4x+12 (Original Equation Substituting x for f(x), equal to y)
1/4x=12 (Subtract 3/4 from both sides of the linear equation)
x=48 (Multiply both sides by 4)
a woman buys a pair of shoes at a sale.she pays $60,saving $15 on the regular price.The percentage discount on the shoe is
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?
Answer:
There are 8 more girls
Step-by-step explanation:
If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.
Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.
Which number sentence below matches this word problem? Grandma's house is 12 miles away. Aunt Millie's house is only 9 miles away. How much farther is Grandma's house than Aunt Millie's?
Answer:12-9=3
Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9
B^7 divided b^4 simplified
Answer:
[tex] = {b}^{3} [/tex]
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \frac{ {b}^{7} }{ {b}^{4} } \\ = {b}^{7 - 4} \\ = {b}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
a) The ratio 20 minutes to 1 hour can be written in the form 1:n.
Find the value of n.
n =
Answer:
n =3
Step-by-step explanation:
20 minutes to 1 hour can also be written as 20 minutes to 60 minutes.
when simplified, you get 1:3
Answer:
1:30
Step-by-step explanation:
minutes : hour
20 : 1
convert the hour into minutes
1 hr = 60 minds
20 : 60
it was simplified so that 20 = 1
so they did 20 divided by 20 to get it to equal to 1
1 : _____
u need to equalise it and do the same to the other side so 60 divided by 20 as well ( this equals 30)
now the ratio is:
1 : 30
Find (fg)(x) using long division for f(x)=2x3−12x2+7x−27 g(x)=2x2+5 The quotient is The remainder is
Answer:
f(x)/g(x) = x - 6 + (2x+3)/(2x^2+5)
Quotient = x - 6
Remainder = (2x+3)/(2x^2+5)
Step-by-step explanation:
Getting x-6:
What number multiplies with 2x²+5 to get 2x³+...?
that number is x, so that's your first number. You multiply it with 2x²+5 and subtract it like how you would do divison by hand back in elementary school.
Now what number multiplies with 2x²+5 to get -12x²+ ...?
that number would be 6, so that's your second number. Multiply 2x²+5 with 6 and subtract it from -12x²+ ....
Now you have 2x+3. What number multiplies with 2x²+5 to get 2x+3? That number doesnt exist so 2x+3 is your remainder.