please help. 67.6 divided 16? do you know the answer and can you show me the work.
i got 4.225
so hope that helps a little!
The answer is 4.225. I also included my work
Carlos has $20 to spend on six avocados. After buying them he had $2. Him much did each avocado coast
Cost Carlos 3 dollars per avocodo
If we have $2 left then that means we used $18 dollars on the avocados.
All we have to do is divide $18 dollars by 6 avocados.
$18 / 6 = 3
So each avocado was $3
GOOD LUCK :)
How many solutions does the equation have?
9z+10=1−3(5−3z)
9z + 10 = 1 - 3(5 - 3z) use distributive property
9z + 10 = 1 + (-3)(5) + (-3)(-3z)
9z + 10 = 1 - 15 + 9z
9z + 10 = -14 + 9z subtract 9z from both sides
10 = -14 FALSE
NO SOLUTION
Answer: zero solutions.
Answer:
[tex] \sf \: z = no \: solution[/tex]
Step-by-step explanation:
Given equation,
→ 9z + 10 = 1 - 3(5 - 3z)
Now the value of z will be,
→ 9z + 10 = 1 - 3(5 - 3z)
→ 9z + 10 - 1 = -15 + 9z
→ 9z + 9 = -15 + 9z
→ 9z - 9z = -15 - 9
→ 0 = -24
→ [ z = no solution ]
Hence, there is no solution.
What is the independent, dependent, and constant in this sentence? A study was done to find if different tire treads affect the braking distance of a car.
different tire treads - independent
braking distance- dependent
car - constant
What is 3/8 + b/3= 5/12
Final answer:
To solve the equation 3/8 + b/3 = 5/12 for b, we find a common denominator, combine the fractions, and then isolate and solve for b. The solution for b is 1/8.
Explanation:
The equation presented by the student is 3/8 + b/3 = 5/12. To solve for b, we must first get a common denominator for the fractions to combine them. In this case, the common denominator is 24, since it is the least common multiple of 8 and 3. Multiplying each term by 24 yields:
(3/8)*24 + (b/3)*24 = (5/12)*24
9 + 8b = 10
Next, we isolate the variable b by subtracting 9 from both sides of the equation:
8b = 10 - 9
8b = 1
Finally, divide both sides by 8 to solve for b:
b = 1/8
Thus, the value of b that satisfies the given equation is 1/8.
Omar is born weighing 8 pounds, 3 ounces. The doctor says he should again about 5 ounces each week for the next 4 weeks. How much should Omar weigh after 4 weeks?
8 lbs 3 oz + 4 * 5 oz
8 lbs 3 oz + 20 oz
8lbs 23 oz there are 16 oz in a lb (23-16 = 7)
8 lbs + ( 1 lbs 7 oz)
9 lbs 7 oz
Answer:
Step-by-step explanation:
9 pounds, 7 ounces
A roller coaster car rapidly picks up speed as it rolls doen a slope. As it starts down the slope, it's speed is 4m/s. But 3 seconds later, at the bottom of the slope, it's speed is 22m/s. What is its average acceleration?
The average is 18m/s.
The average acceleration of the roller coaster car is [tex]\( 6\, \text{m/s}^2 \)[/tex].
The average acceleration of the roller coaster car is calculated using the formula:
[tex]\[ a = \frac{{v_f - v_i}}{{\Delta t}} \][/tex]
where [tex]\( v_f \)[/tex] is the final velocity, [tex]\( v_i \)[/tex] is the initial velocity, and [tex]\( \Delta t \)[/tex] is the time interval over which the acceleration occurs.
Given:
[tex]- Initial velocity (\( v_i \)) = 4 m/s \\- Final velocity (\( v_f \)) = 22 m/s\\ - Time interval (\( \Delta t \)) = 3 s[/tex]
Plugging in the values:
[tex]\[ a = \frac{{22\, \text{m/s} - 4\, \text{m/s}}}{{3\, \text{s}}} \] \[ a = \frac{{18\, \text{m/s}}}{{3\, \text{s}}} \] \[ a = 6\, \text{m/s}^2 \][/tex]
a spherical container with a radius of 4 ft is filled with gas that costs$12 per cubic foot what is the total value of the gas in the container
We calculate the volume of the sphere to find the amount of gas it can hold, then we multiply this volume by the price per cubic foot to get the total cost of the gas, which is $3216.96.
Explanation:The problem is asking us to determine the total value of gas in a spherical container given the radius of the sphere (container) and the cost of gas per cubic foot.
Firstly, we need to calculate the volume of the sphere using the formula: V = 4/3 * pi * r^3, where r is the radius of the sphere. Substituting the given radius, V = 4/3 * pi * 4^3 = 268.08 cubic feet
Then, we find the total value of the gas by multiplying the volume of the gas by the cost per cubic foot. So, the total value = volume * cost = 268.08 * 12 = $3216.96
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The total value of the gas in the container is $3216.96.
Explanation:To find the total value of the gas in the container, we first need to calculate the volume of the gas.
The formula to find the volume of a sphere is V = (4/3) * π * r^3, where r is the radius of the sphere.
Plugging in the given radius of 4 ft, we get V = (4/3) * π * (4^3) = 268.08 ft^3.
Next, we multiply the volume of the gas by the cost per cubic foot to find the total value.
Multiplying 268.08 ft^3 by $12/ft^3, we get a total value of $3216.96.
Therefore, the total value of the gas in the container is $3216.96.
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Help please
The cost, c(x), for parking in a hospital lot is given by c(x) = 5x + 3.00, where x is the number of hours. What does the slope mean in this situation?
The answer would be C since 3.00 would be the initial cost and 5 would be the hourly rate, with x being the amount of hours the car is in the parking lot.
The answer is C. In this situation, slope means the rate of change of the cost of parking in the lot is 5 dollar per hour.
What is slope?Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. That means the change in y due to change in x.
In an equation, y = mx + c, slope is m.
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What Is the domain of the function shown
Domain is the set of x values
so answer is D) {2, 4, 6, 8}
Hope it helps
someone please help me on this! it would be greatly appreciated
The answer you want
The answer you want is right around (0,0). Just follow the x axis. Go by colors. The pink color is x>0 not including 0
The light blue is x <= 3
Where they intersect is a very dark blue.
Each page of a book measures 12 inches by 8 inches. The cover extends beyond the shorter side one half inch in both directions.
What is the perimeter of the book’s cover in inches?
At an ice skating rink, there are 22 people who know how to ice skate and 18 people who do not know how to ice skate. What is the ratio of people who know how to ice skate to people who do not know how to ice skate?
Answer:
11:9
Step-by-step explanation:
Simply reduce the two numbers
22 over 18 is equivalent to 11 over 9 when you reduce by 2
For what value of a are the graphs of 6y=−2x+4 and 2y=ax−5 parallel? perpendicular?
Answer:
a) Parallel when a = -2/3
b) Perpendicular when a = 6
Explanation:
a) For two parallel lines slopes are equal.
So, 6y=−2x+4 and 2y=ax−5 parallel if they are slopes equal.
Slope of 6y=−2x+4, comparing with y = mx + c
So, m = -2/6 = =-1/3
For 6y=−2x+4 and 2y=ax−5 to b parallel we have slope of 2y=ax−5 equal to -1/3
Slope of 2y=ax−5
m = a/2
We have a/2 = -1/3
a = -2/3
b) For perpendicular lines product of slope is -1.
So we have
[tex]\frac{a}{2} *\frac{-1}{3} =-1\\ \\ a=6[/tex]
The value of 'a' that would make the graphs of the equations 6y = -2x + 4 and 2y = ax - 5 parallel is -1/3. Meanwhile, the value of 'a' that would make them perpendicular is 3.
Explanation:The question you've asked is about finding the values of a for which two graphs represented by the equations 6y = -2x + 4 and 2y = ax - 5 are either parallel or perpendicular. To solve this, we need to understand and apply the concept of slope in straight-line equations.
Firstly, rewrite the given equations in the form of y = mx + b, where m is the slope. For the first equation, it becomes y = -1/3x + 2/3, so the slope is -1/3.
Parallel lines have the same slope. Therefore, the value of 'a' for the second equation to be parallel with the first needs to be -1/3. Conversely, perpendicular lines have slopes that multiply to -1. Thus, for the second line to be perpendicular to the first, 'a' would have to be the negative reciprocal of -1/3, which is 3.
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How do you use elimination in math?
In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. Next add the equations, and solve for y or x. Once you find out the value of either y or x you can substitute into one of the original equations to find x or y.
WILL GIVE BRAINLIEST. is my answer correct
I’m pretty sure you are
A cone has a height of 2.5 in. and a radius of 5 in. What is the volume of the cone? (Use 3.14 for pi. Round the answer to two decimal places.)
Answer:
65.45
Step-by-step explanation:
you do 3.14*5^2*2.5/3
Answer:
65.42
The other answer was close, but missed some steps. Rounded up the answer is 65.42
Is it 15, 24, 30, 42, or 48?!
The answer would be
H. 30
Thanks for using Brainly, and Please make sure to make my answer the Brainliest!
3 feet is equivalent to 36 inches. So it starts as a 36-inch diameter.
Then it need to hang down another 5 inches. 36 + 5 = 41. Then he will need another inch to sew down all the way around so that becomes 41 + 1 = 42. 42 inches in diameter.
The table cloth needs to be 42 inches in diameter.
What is 6n to the second power +1+7n to the second power? Thanks!
Answer:
#1. (6n) to the second power = (6^2) * (n^2)
n^2 means n to the second power, by the way
#2. (1+7n) to the second power = 1+14n+49n^2
Step-by-step explanation: You would just seperated square for the first one, since it involves the multiplication of squares, which is the same as squaring the product.
For the second one, you would expand the product to a^2+2ab+b^2, which is the same as 1^2 + 2(1*7n)+7n^2, which simplifies to 1+14n+49n^2
I am at the Kruger National Park in Skukuza with the latitude and longitude coordinates (-24.98,31.58). My friends are exploring the Nelson Mandela Musuem in Mpumalanga at (-29.82,31.58). We are going to meet exactly in between our coordinates Where will we be meeting?
Given Kruger National Park in Skukuza coordinate : (-24.98,31.58).
Nelson Mandela Musuem in Mpumalanga coordinate : (-29.82,31.58).
We need to find exactly in between given coordinates.
We know, mid - point formula :
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right).[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-24.98,\:31.58\right),\:\left(x_2,\:y_2\right)=\left(-29.82,\:31.58\right)[/tex]
[tex]=\left(\frac{-29.82-24.98}{2},\:\frac{31.58+31.58}{2}\right)[/tex].
[tex]=\left(-27.4,\:31.58\right)[/tex].
Therefore, will be meeting at (-27.4, 31.58).
Keelah's Clothing Store buys coats for $50 and then sells them for $80. What is the percent of mark up on the price of the coat?
with work
Answer:
37.5%
Step-by-step explanation:
subtract 80 by 50 to find the increase of money
80-50=30
then divide the number you got by the increase of price Wich is 80
30÷80=0.375
then multiply 0.375 by 100 to put it in percentage form
0.375x100=37.5%
A toll collector on a highway receives $8 for cars and $9 for buses. At the end of a 4-hour period, she collected $368. How many cars and buses passed through the toll booth during that period? Select ALL THAT APPLY: 40 cars and 5 buses!!37 cars and 8 buses!!22cars and 21 buses!!28 cars and 16 buses!!0 cars and 41 buses!!46 cars and 0buses!!4cars and 37 buses!! 10 cars and 32 buses!! 1car and 40 buses!!19 cars and 24 buses
Applying the concept of Algebra, the toll collector processed 40 cars and 5 buses during a 4-hour period. This is found by checking each option against the equations 8c + 9b = 368 and c + b = total number of vehicles (where c = cars and b = buses).
Explanation:To solve this problem, we need to find the number of cars and buses that make up the total toll collected, which is $368. We can set up a system of equations to solve for the two variables: number of cars (c) and number of buses (b).
So, we have two equations: 8c + 9b = 368 and c + b = total number of vehicles. By checking each option, only 40 cars and 5 buses match these equations, because 8*40 + 9*5 = 368.
So, the toll collector processed 40 cars and 5 buses during the 4 hour period.
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How to find the derivative of y=1/x-2
[tex]y=\dfrac{1}{x-2}=(x-2)^{-1}\\\\\text{use}\ (x^n)'=nx^{n-1}\ and\ f'(g(x))=f'(g(x))\cdot g'(x)\\\\y'=\left[(x-2)^{-1}\right]'=-1(x-2)^{-2}\cdot(x-2)'=-(x-2)^{-2}\cdot1=-\dfrac{1}{(x-2)^2}[/tex]
Name two points on a line that has a slope of 5/8
The two points on a line such that it has a slope 5/8 is:
(0,0) and (8,5)
Step-by-step explanation:We know that the slope of a line is the ratio of the change in the y-coordinates to the change in the x-coordinates.
Now, let us assume that the equation of a line with slope 5/8 be given by:
[tex]y=\dfrac{5}{8}x[/tex]
Hence, the point (0,0) lie on the line.
( since, when x=0 we have:
[tex]y=\dfrac{5}{8}\times 0\\\\y=0[/tex] )
and also the point (8,5) lie on the line.
( when x=8 we have:
[tex]y=\dfrac{5}{8}\times 8\\\\y=5[/tex] )
Which shows one more way to determine the factors of x^3 -9x^2 + 5x -45 by grouping. X^2 (x-9) -5(x-9)
X^2(x+9)-5(x+9)
The given equation is :
[tex]x^3-9x^2+5x-45[/tex]
Take out GCF from the first pair and the second pair
[tex]x^2(x-9)+5(x-9)[/tex]
Now (x-9) is common so
[tex](x-9)(x^2+5)[/tex]
finding terms of an arithmetic sequence with a recursive formula
a1 =12 an= an-1+7
Hey there!!
Recursive formula :
... a( n ) = a ( n - 1 ) + 7
The first term is 12
To find the second term, we will need to substitute 2 in place of ' n '
2 term :
... a( 2 ) = a ( 2 - 1 ) + 7
... a( 2 ) = a( 1 ) + 7
We know a( 1 ) = 12
... a( 2 ) = 12 + 7
... 19 is the second term and we will need to use this to find the other terms.
Hope my answer helps!
Can someone find the unit rate of $46 for 5 toys, and add an explanation and how to do it?!?!? ASAP HELP!!
Not sure if I am right but I looked online for you and it said divide the numerator and the denominator by the given rate so I guess you do 46 divided by 5 I'm sorry if I am wrong nd let me know
The unit rate of $46 for 5 toys is calculated by dividing the total cost by the number of toys, resulting in $9.20 per toy.
This question demands complete basic understanding of mathematical concepts in general and division in particular.
To find the unit rate of $46 for 5 toys, you divide the total cost by the number of toys. This calculation will give you the cost of one toy. Here's how it's done step-by-step:
Write down the total cost for all the toys, which is $46.Write down the total number of toys, which is 5.Divide the total cost by the number of toys to find the unit rate: $46 / 5 toys = $9.20 per toy.So, as per the above explaination, the unit rate is $9.20 per toy.
Solve each system by substitution. Show ALL work!!!!
1) y=2x-1
6x-3y=7
Solution:
Work:
To solve the given system of equations by substitution, 'y' from the first equation is substituted into the second, resulting in x = 4/3. Substituting this into the first equation yields y = 5/3. Therefore, the solution to the system is x = 4/3, y = 5/3.
Explanation:To solve the given system of equations by substitution, we will start with the first equation y = 2x - 1 and substitute it into the second equation 6x - 3y = 7.
Substituting 'y' from the first equation into the second, we get: 6x - 3(2x - 1) = 7.
Solving this, we find 'x': 6x - 6x + 3 = 7 => x = 7/3 = 4/3.
Next, we substitute 'x' into the first equation to find 'y': y = 2(4/3) - 1 = 8/3 - 1 = 5/3.
So, the solution to the system of equations is x = 4/3, y = 5/3.
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examine the diagram on the right and explain how it illustrates the value of n^+n/2
the key is to write [tex]n^2 + n[/tex] as [tex]n(n+1)[/tex] which can be easily seen as an area of a rectangle with one side length n and the other (n+1). That explains the rectangle made of dots - 3 x 4
Now you only have half of them because of the 1/2. So that explains the lower "triangle" of dots being greyed out - they do not count in the area (upper triangle). So the count of the dark dots corresponds to the original expression.
For n=5 you can draw a similar rectangular matrix with 5 x 6 dots. And count only the upper triangular part.
A total value of $6,000 is invested into two simple interest accounts. The annual simple interest rate on one account is 9%; on the second account, the annual simple interest rate is 6%. How much should be invested in each account so that both accounts earn the same amount of annual interest.
hello there this one was tricky i looked at it for sevrel minutes and solve dit
the answer is 50%
To obtain the same annual interest on both accounts, $3,600 should be invested at 9%, and $2,400 should be invested at 6%.
Explanation:To solve this problem, we need to use the formula for simple interest, which is I = PRT, where P is the principal amount (the initial amount of money), R is the annual interest rate in decimal form, and T is the time the money is invested for in years. Here, we want both accounts to earn the same annual interest, so we'll let x be the amount of money invested at 9%, and 6000 - x be the amount of money invested at 6%. The annual interest for both should be the same, so:
x × 0.09 = (6000 - x) × 0.06
Solving for x, we get x = $3,600. So, $3,600 should be invested at 9%, and $2,400 ($6,000 - $3,600) should be invested at 6% to obtain the same annual interest.
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