A tank holds 1,000 gallons of syrup. Danielle filled 65 5-gallon cans with syrup. How much syrup was left in the tank when she finished? 3. Draw a picture or a chart that shows the information and the question.
675 gallons
935 gallons
325 gallons
350 gallons
Answers
Draw a picture of someone taking away 325 gallons of syrup from a 1000 gallon bin.
Hope that helped;)
Answer:
the answer is 675
Step-by-step explanation:
1. there is a tank with 1000 gallons, and we have 65 cans with a capacity of 5 gallons, so if we multiply the 65 cans with the capacity we would have as result
65 x 5 = 325
2- already having the value of gallons used (325) we can subtract this difference to the 1000 gallons that were in the tank at first.
1000 - 325 = 675
Related Questions
Mark made a business trip of 250250 miles. he averaged 50mph50mph for the first part of the trip and 60mph60mph for the second part. if the trip took 4.54.5 hours, how long did he travel at each rate?
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What happened to the cat who swallowed a ball of yarn?
Answers
List the following stocks and bonds in order from lowest default risk to highest default risk.
A. foreign government bond, common stock, preferred stock
B. foreign government bond, preferred stock, common stock
C. common stock, preferred stock, foreign government bond
D. preferred stock, common stock, foreign government bond
Answers
Foreign government bond, preferred stock, common stock.
Government bonds are generally referred to as a low risk investment as they have a very low chance of default.
Preferred shared holders are considered first in the disbursement of dividend before common stockholder are considered. Thus, preferred stock is of less risk than common stock.
What is the value of x?
Answers
total of the 3 known angles: 140 + 34 + 56 = 230
so x = 360 - 230
x = 130 degrees
Share out £80 between Tom and jerry in the ratio 3:2
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3n + 2n = £80
5n = £80
n = 16
3(16):2(16)
48:32
Tom gets £48, and Jerry gets £32
Jerry gets- 32
Hope I helped! tell if I missed something! :)
This is a "water tank" calculus problem that I've been working on and I would really appreciate it if someone could look at my work and tell me if I did it properly! Thank you.
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Everything looks good but line 4. You need to put all of the "2h" in parenthesis so the teacher will know you are squaring all of 2h. As you have it right now, you are saying "only square the h, not the 2". Be careful as silly mistakes like this will often cost you points.
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Part B
It looks like you have the right answer. Though you'll need to use parenthesis to ensure that all of "75t/(2pi)" is under the cube root. I'm assuming you made a typo or forgot to put the parenthesis.
dh/dt = (25)/(2pi*h^2)
2pi*h^2*dh = 25*dt
int[ 2pi*h^2*dh ] = int[ 25*dt ] ... applying integral to both sides
(2/3)pi*h^3 = 25t + C
2pi*h^3 = 3(25t + C)
h^3 = (3(25t + C))/(2pi)
h^3 = (75t + 3C)/(2pi)
h^3 = (75t + C)/(2pi)
h = [ (75t + C)/(2pi) ]^(1/3)
Plug in the initial conditions. If the volume is V = 0 then the height is h = 0 at time t = 0
0 = [ (75(0) + C)/(2pi) ]^(1/3)
0 = [ (0 + C)/(2pi) ]^(1/3)
0 = [ (C)/(2pi) ]^(1/3)
0^3 = (C)/(2pi)
0 = C/(2pi)
C/(2pi) = 0
C = 0*2pi
C = 0
Therefore the h(t) function is...
h(t) = [ (75t + C)/(2pi) ]^(1/3)
h(t) = [ (75t + 0)/(2pi) ]^(1/3)
h(t) = [ (75t)/(2pi) ]^(1/3)
Answer:
h(t) = [ (75t)/(2pi) ]^(1/3)
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Part C
Your answer is correct.
Below is an alternative way to find the same answer
--------------------------------------
Plug in the given height; solve for t
h(t) = [ (75t)/(2pi) ]^(1/3)
8 = [ (75t)/(2pi) ]^(1/3)
8^3 = (75t)/(2pi)
512 = (75t)/(2pi)
(75t)/(2pi) = 512
75t = 512*2pi
75t = 1024pi
t = 1024pi/75
At this time value, the height of the water is 8 feet
Set up the radius r(t) function
r = 2*h
r = 2*h(t)
r = 2*[ (75t)/(2pi) ]^(1/3) .... using the answer from part B
Differentiate that r(t) function with respect to t
r = 2*[ (75t)/(2pi) ]^(1/3)
dr/dt = 2*(1/3)*[ (75t)/(2pi) ]^(1/3-1)*d/dt[(75t)/(2pi)]
dr/dt = (2/3)*[ (75t)/(2pi) ]^(-2/3)*(75/(2pi))
dr/dt = (2/3)*(75/(2pi))*[ (75t)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (75t)/(2pi) ]^(-2/3)
Plug in t = 1024pi/75 found earlier above
dr/dt = (25/pi)*[ (75t)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (75(1024pi/75))/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (1024pi)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*(1/64)
dr/dt = 25/(64pi)
getting the same answer as before
----------------------------
Thinking back as I finish up, your method is definitely shorter and more efficient. So I prefer your method, which is effectively this:
r = 2h, dr/dh = 2
dh/dt = (25)/(2pi*h^2) ... from part A
dr/dt = dr/dh*dh/dt ... chain rule
dr/dt = 2*((25)/(2pi*h^2))
dr/dt = ((25)/(pi*h^2))
dr/dt = ((25)/(pi*8^2)) ... plugging in h = 8
dr/dt = (25)/(64pi)
which is what you stated in your screenshot (though I added on the line dr/dt = dr/dh*dh/dt to show the chain rule in action)
At a local baseball game there are 3 hot dog vendors. collectively the vendors sold 1,700 hot dogs. if vendor a sold 456, vendor b sold 607, and vendor c sold 637, what percentage of the total did each vendor sell? (round to the nearest percent.) a) 26 percent, 40 percent, 44 percent b) 45 percent, 37 percent, 18 percent c) 27 percent, 36 percent, 37 percent d) 30 percent, 35 percent, 35 percent
Answers
Vendor A= 456/1700, which is .268 or 27%
Vendor B= 607/1700, which is .357 or 36%
Vendor C= 637/1700, which is .374 or 37%
For a total of 100%
Lynh manages a small company with 12 employees. He offers profit sharing where 5% of profits at end of year is distributed evenly to the employees. Each employee earned $2,300 in profit sharing in 2013. What was the total profit?
Answers
We need to find the total profit of Lynh Mangoes. It is given that the 5 % of profit to be distributed equally between 12 employees.
Profit received by each employee = $ 2,300
Total profit received by 12 employees = $ 2,300 × Profit received by each employee
Total profit received by 12 employees = $ 27,600
It is given that 5 % to be distributed.
Thus, 5 % of total profit = $ 27,600
Total profit = $ 27,600 ÷ 5 %
Total profit = $ 552,000
The total price of an article is $7.02, including tax. If the tax rate is 8%, what is the retail price of the article?
Answers
x = 7.02 / 1.08
x = $6.50
6.50
Hope this helps.
5 out of 8 bags of m&ms had exactly 32 pieces in them. How many bags out of 40 should have exactly 32 pieces
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So 8*?= 40
8*5=40
Then 5*5=25 that means 25 bangs is the answer
Find d: ??? Ft. Plz help idk this question
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What is the surface area of the right cone Below
WILL MARK BRAINIEST !!
Answers
Answer:
Option C
Step-by-step explanation:
Given in the picture is a right circular cone with base radius = 3 units and length = 15 units.
We have to find the surface area of the cone.
The total surface area of the cone is the sum of base area + lateral surface area
Base area = area of a circle = [tex]\pi r^2[/tex]
Lateral area of cone = [tex]\pi rl[/tex] where l = length of the cone.
Hence total surface area
= [tex]\pi r (r+l)\\=\pi (3)(3+15)\\=54\pi[/tex] square units
Option C is the answer.
The length of a rectangle is increasing at a rate of 6 cm/s and the width is increasing at a rate of 4 cm/s. when the length is 16 cm and the width is 12 cm, how fast is the area of the rectangle increasing?
Answers
What phrase can you use to represent m-4? M less then 4/ 4 less then m/ m plus 4 or 4 less m
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The phrase 'm less 4' or '4 less than m' can be used to represent the expression 'm-4'. The other phrases mentioned do not accurately represent the mathematical expression 'm-4'.
Explanation:The phrase that you can use to represent the expression m-4 is 'm less 4' or '4 less than m'. The phrase suggests that we are subtracting 4 from variable m. The phrase 'm plus 4' would be used to represent m+4 and does not apply here. So, in expressing the concept of subtraction in a phrase, we often say things like '4 less than m' which clearly conveys that 4 is being subtracted from m.
Learn more about Mathematical Phrasing here:
https://brainly.com/question/33441052
#SPJ11
Please help me with this
Answers
Now we need to complete square for (x²+10)
It should look like this
a²+2ab+b²=(a+b)²
y=3(x²+2*5x+5²)-3*5²+71
y=3(x+5)²-75+71
y=3(x+5)²-4
Vertex has coordinates x=-5, y=-4.
Vertex in this case is the extreme value (-5,-4)
find the surface area of each figure. Round your answer to the nearest tenth, if necessary
Answers
b=8
h=4.3
s=7
l=5
A= b²+bl+bs+bh
A= 8²+8*5+8*7+8*4.3
A= 194.4 m³
Bart can paint one house in 3 hours. ann can paint one house in 5 hours. how long would it take bart & ann to paint one house if they worked together?
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Find the missing term of the geometric sequence. 45 ___ 1620
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[tex]45,45r,45r^{2}[/tex]
You know that the third term is 1620, so just solve for r:
[tex]45r^{2}=1620 \\ r^{2}=36 \\ r=\pm6[/tex]
So the common ratio is either 6 or -6. That means there are two possible missing terms:
[tex]45r \\ =45(\pm6) \\ =\pm270[/tex]
The missing term in the geometric sequence 45, ___, 1620 is 270.
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Given the geometric sequence: 45, ___, 1620, we need to find the missing term.
Let's denote the missing term as a2 and the common ratio as r. The terms of the geometric sequence are determined by the formula:
an = a1 * rn-1
For our sequence:
The first term, a1, is 45.The third term, a3, is 1620.We express the third term in terms of the first term and common ratio:
1620 = 45 * r2
Solving for r2:
r2 = 1620 / 45
r2 = 36
r = 6
Since the common ratio, r, is 6, we can find the missing second term, a2:
a2 = a1 * r
a2 = 45 * 6 = 270
Thus, the complete sequence is 45, 270, 1620.
Will give brainliest! How many distinct triangles can be made? I think I have to first find the measure of length b and then compare measure a with b and h to find the answer. Please help me out on how to find measure length b
Answers
this is a case of the ambiguous case with an SSA, AC and CB are the sides and the angle is at A.
the ambiguous case has two triangles, the case when B is acute, CB sticks out, and the case when B is obtuse, CB sticks inside, it just so happen that those two angles for B are "supplementary" angles.
if you check the sin⁻¹ of that, we'll get the acute version of B, that's because of the constraints on the range of the inverse sine function, and we get ∡B ≈ 36.86989765°.
and of course, the other angle for B will be 180 - 36.86989765.
If the area is 72 and the perimeter is 34, what are it's dimensions
Answers
2x + 2y = 34 (Im assuming uts a rectangle or square)
2 (72/y) + 2y = 34
144 + 2y^2 = 34y
2y^2 - 34y + 144 = 0
y = 9 or 8
So the length is 9 and width = 8
Trains on the line reached an average speed of 125 miles per hour. Approximately, what is this speed in kilometers per hour?
Answers
A child is standing at point c and flying a kite located at point a, 25 ft above the ground. as the child lets out more string, the kite rises to a point b, directly above point
a. if the angle of elevation changes from 50º to 65º, how much higher to the nearest foot, is the kite than it was initially?
Answers
Final answer:
To calculate the height increase of the kite, we can use trigonometry and the formula tan(angle) = h / distance. By plugging in the values, we find that the kite is approximately 25 * tan(65º) ft higher than it was initially.
Explanation:
To find how much higher the kite is than it was initially, we need to determine the difference in height between points a and b. Since point b is directly above point a, the difference in height can be calculated using trigonometry.
We can use the tangent of the angle of elevation to find the height increase. The tangent of an angle is equal to the opposite side divided by the adjacent side.
In this case, the opposite side is the height increase (h) and the adjacent side is the distance between points a and c. We can use the formula tan(angle) = h / distance to solve for h.
Given that the angle changes from 50º to 65º, we can calculate the height increase as follows:
tan(65º) = h / distance
Solving for h:
h = tan(65º) * distance
Plugging in the values:
h = tan(65º) * distance
h ≈ tan(65º) * 25 ft
Rounding to the nearest foot, the kite is approximately 25 * tan(65º) ft higher than it was initially.
Write the equation of the perpendicular bisector of RS. Point R is located at (–1, 3), and point S is located at (3, 1).
Answers
Point R is located at (–1, 3), and point S is located at (3, 1)
we know that
the perpendicular bisector of RS go through the midpoint of RS
step 1
find the midpoint RS
midpoint M (Mx,My)
Mx=(x1+x2)/2
My=(y1+y2)/2
Mx=(-1+3)/2------> Mx=1
My=(3+1)/2-------> My=2
the midpoint M is (1,2)
step 2
find the slope RS
m=(y2-y1)/(x2-x1)-------> m=(1-3)/(3+1)-----> m=-2/4-----> m=-1/2
we know that two lines are perpendicular if the slopes
m1*m2=-1
step 3
find the slope of the perpendicular bisector of RS
m2=-1/m1------> m2=2
step 4
with m=2 and the midpoint M (1,2) find the equation of a line
y-y1=m*(x-x1)------> y-2=2*(x-1)----> y=2x-2+2-----> y=2x
the answer is
y=2x
see the attached figure
Which transformation of Figure A results in Figure A'?
a reflection across the y-axis
a reflection across the x-axis
a clockwise rotation of 90° about the origin
a translation 12 units right and 2 units down.
Answers
Answer:
A translation 12 units right and 2 units down.
Step-by-step explanation:
Given : Figure A and figure A'.
To find : Which transformation of Figure A results in Figure A'.
Solution : We have given that
Parent Triangle A with coordinates ( -6 ,-3) ; ( -4 ,-5) ; ( -8 , - 4)
Transformed triangle with coordinates ( 6 ,-5) ; ( 8 ,-7) ; ( 4 , - 6)
We can see from the coordinates
( -6 +12 ,-3-2) = ( 6 ,-5)
( -4+ 12 ,-5 -2) = ( 8 ,-7)
( -8 + 12 , - 4 -2) = ( 4 , - 6).
Therefore, A translation 12 units right and 2 units down.
At the local grocer, the prices for apples are the following: 9 ounces for $1.89 or 1 pound for $2.49. How much will you save per pound, by buying the least expensive? Round to the nearest cent.
A.) $0.87
B.) $0.10
C.) $0.60
D.) $0.21
Answers
Answer: Option 'A' is correct.
Explanation:
Cost of 9 ounces of apples = $1.89
Cost of 1 ounce of apple is given by
[tex]\frac{1.89}{9}=\$0.21[/tex]
Now, if he bought 1 pound of apple,
Cost of 1 pound of apple = $2.49
Cost of 16 ounces = $2.49
(∵ 1 pound = 16 ounces)
Cost of 1 ounce of apple is given by
[tex]\frac{2.49}{16}=\$0.156[/tex]
So, Second option is the least expensive if he bought 1 pound of apple for $2.49
Then, he will save which is given by
[tex]0.21-0.156=0.054\times 16=$0.87\ per pound[/tex]
Hence, option 'A' is correct.
Final answer:
You will save $0.87 per pound by purchasing apples at the price per pound rate ($2.49) compared to the 9-ounce rate ($1.89 for 9 ounces), with the savings calculated by converting the 9-ounce price to a per pound rate and comparing it to the given per pound price.
Explanation:
To determine how much you will save per pound by buying the least expensive option for apples, first convert the price for 9 ounces into the equivalent price per pound. Since there are 16 ounces in a pound, you need to calculate the price per ounce and then multiply by 16 for the pound equivalence. The price per ounce for the first option is $1.89/9 ounces = $0.21 per ounce. Hence, the price per pound would be $0.21 per ounce × 16 ounces/pound = $3.36 per pound.
Now compare the price per pound of both options. The specified price per pound is $2.49, and the calculated price per pound for the 9-ounce option is $3.36. The savings per pound when buying the least expensive option ($2.49 per pound) would be $3.36 - $2.49 = $0.87 per pound, rounded to the nearest cent.
Therefore, the correct answer is (A) $0.87.
You spend 60 on clothes and buy 3 dvd movies. your friend spends nothing on clothes and buys 8 dvd movies. you both spend the same amount of money. how much does each dvd movie cost?
Answers
Each DVD movie costs $12. This is calculated by setting up and solving an equation where the total spending on clothes and 3 DVDs equals the spending on 8 DVDs, as both parties spent the same amount.
To find out how much each DVD movie costs, we need to set up an equation based on the given information. You spent $60 on clothes and bought 3 DVD movies, while your friend spent $0 on clothes and bought 8 DVD movies. It is given that both of you spent the same amount of money. Let's denote the cost of each DVD movie as x.
The total amount you spent is the cost of the clothes plus the cost of the 3 DVD movies, which can be expressed as $60 + 3x. Your friend spent the cost of the 8 DVD movies, which is 8x. Since both amounts are equal, we have:
60 + 3x = 8x
Solving this equation for x:
Subtract 3x from both sides: 60 = 5xDivide both sides by 5: x = $12Therefore, the price of each DVD movie is $12.
The line graphed below passes through the points (-2, 0) and (0, -3). Use the slope formula to calculate the slope between the given points. Verify the slope by counting the rise over the run on the graph.
Answers
Answer:
The answer is -4/5
Step-by-step explanation:
It just is. The test said so.
Simon invested $1,550 at 6.5% simple interest. He earned $302.25 in interest after t years. What is the value of t?
Answers
0.065t(1550) = 302.25
100.75t = 302.25
t = 3
3 years
Answer:
Marco deposited $500 in a savings account earning 4% simple interest over 5 years.
What was the total amount of interest earned at the end of 5 years?
$40
$50
$100
$200
Step-by-step explanation:
Have you found a positive o negative correlation between the independent and dependent variables
Answers
Is quadrilateral JKLM the result of a dilation of quadrilateral ABCD by a scale factor of 2? Why or why not? Yes, because sides JK and ML are twice as long as sides AB and DC. Yes, because both figures are parallelograms, so corresponding sides are parallel. No, because sides JK and ML are not twice as long as sides AB and DC. No, because sides JM and KL have different slopes from sides AD and BC.
Answers
Answer:
(d) No, because sides JM and KL have different slopes from sides AD and BC
Step-by-step explanation:
You want to know if quadrilateral JKLM is a dilation of ABCD by a factor of 2, and why or why not.
DilationDilation multiplies the distance of each point on the figure from the center of dilation by the scale factor. Dilation by a scale factor of 2 will move JKLM twice as far from the origin as ABCD. This preserves slopes and angles, but changes lengths by the scale factor.
In the given figure, ABCD is 2 units wide and 2 units high. If JKLM is a dilation by a factor of 2, it will be 4 units wide and 4 units high.
JKLM is 5 units high, so is not a dilation. JK and ML are twice as long as AB and DC, so choice C is not an appropriate explanation.
Sides JM and KL have different slopes from sides AD and BC, choice D.
__
Additional comment
The slopes of JM and KL are 5/2. The slopes of AD and BC are 2/1, a different value.
Answer: D
Step-by-step explanation: