Answer:83÷3=27.6 or 27.667
Step-by-step explanation:
The number 83 divided by 3 equals 27 remainder 2.
How to solve 83 divided by 3 using long division?The long division refers to the mathematical method for dividing large numbers into multiple smaller groups or parts. The number which we divide into small groups is called the dividend, the number by which we divide is called the divisor.
27
-------------
3 | 83
- 81
-----
20
- 18
-----
20
- 18
-----
2
Therefore, the number 83 divided by 3 equals 27 remainder 2.
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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what could be the dimensions of the rug?
The length of the rug is 4 ft.
The width of the rug is 2.5 ft.
Explanation:
The area of the rug is 10 ft.
The length of the rug be l.
Let us convert the inches to feet.
Thus, [tex]18 inches = 1.5 ft[/tex]
Thus, the length of the rug is [tex]l=1.5+w[/tex]
Let the width of the rug be w.
Substituting these values in the formula of area of the rectangle, we get,
[tex]A=length\times width[/tex]
[tex]10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0[/tex]
Solving the expression using the quadratic formula,
[tex]$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$[/tex]
Substituting the values, we have,
[tex]$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\[/tex]
[tex]$w=\frac{-15 \pm \sqrt{4225}}{20}$[/tex]
[tex]$w=\frac{-15 \pm 65}{2 0}$[/tex]
Thus,
[tex]w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5[/tex] and [tex]w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4[/tex]
Since, the value of w cannot be negative, the value of w is 2.5ft
Thus, the width of the rug is 2.5ft
Substituting [tex]w=2.5[/tex] in [tex]l=1.5+w[/tex], we get,
[tex]l=1.5+2.5\\l=4[/tex]
Thus, the length of the rug is 4 ft.
It's A
length 4 and width 2.5
Dave, Frank, and Kathy can process 1,300 catalog orders per day when all three of them are working. Dave and Frank can do 780 orders per day and Frank and Kathy can do 850 orders per day. How many can each do in a day?
If an arrow is shot upward on Mars with a speed of 54 m/s, its height in meters t seconds later is given by
y = 54t − 1.86t2.
(Round your answers to two decimal places.)
(a) Find the average speed over the given time intervals.
(i) [1, 2]
m/s
(ii) [1, 1.5]
m/s
(iii) [1, 1.1]
m/s
(iv) [1, 1.01]
m/s
(v) [1, 1.001]
m/s
(b) Estimate the speed when t = 1.
m/s
The average speed calculated over the given time intervals is
48.42 m/s, 49.35 m/s, 50.09 m/s, 50.26 m/s, and 50.29 m/s. The estimated speed when t = 1 is 50.28 m/s.Given formula is y = 54t - 1.86t²
Speed = dy/dt = 54 - 3.72t
a) Average speed over the time intervals given below are:
In [1, 2] time interval, it is [tex]\frac{54t - 1.86t^{2} }{2-1} = \frac{54t - 1.86t^{2} }{1}[/tex] = 48.42 m/sIn [1, 1.5] time interval, it is[tex]\frac{54t - 1.86t^{2} }{1.5-1} = \frac{54t - 1.86t^{2} }{0.5}[/tex] = 49.35 m/sIn [1, 1.1] time interval, it is [tex]\frac{54t - 1.86t^{2} }{1.1-1} = \frac{54t - 1.86t^{2} }{0.1}[/tex] = 50.09 m/sIn [1, 1.01] time interval, it is [tex]\frac{54t - 1.86t^{2} }{1.01-1} = \frac{54t - 1.86t^{2} }{0.01}[/tex] = 50.26 m/sIn [1, 1.001] time interval, it is [tex]\frac{54t - 1.86t^{2} }{1.001-1} = \frac{54t - 1.86t^{2} }{0.001}[/tex]= 50.29 m/sb) When t = 1, the speed is v = 50 - (3.72*1) = 50.28 m/s
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What fraction is it equivalent to 9/20
Answer: 18/40 and 27/60
Step-by-step explanation:
Multiply the numerator and denominator by whatever number it needs to be multiplied by
9*2 to get 18
20*2 to get 40
9*3 to get 27
20*3 to get 60
i need help with both of them i will give you 25 points
plz help
Answer:
1)m<DCH =89
2)m<BCD=103
Step-by-step explanation:
1) We have that:
m<EFB=91 degree.
We want to find m<DCH.
By same side interior angle property:
m<DCH +m<EFB=180
m<DCH +91=180
m<DCH=180-91
m<DCH =89
2) Given that: m<HFG=103, we seek to find m<BCD.
By the alternate exterior angle property:
m<HFG=m<BCD
Therefore
m<BCD=103
The chipmunks dropped an acorn from the top of a tree. The acorn was 0.25 kg and had a velocity of 4 m/s when it hit the ground. How much kinetic energy did it have?
Step-by-step explanation:
Given, the chipmunks dropped an acron from the top of a tree. The acron was 0.25 kg and had a velocity of 4 m/s when it hit ground.
Kinetic energy =[tex]\frac{1}{2} m v^2[/tex]
Here m = 0.25 kg and v =4 m/s
Kinetic energy of the acron had =[tex]\frac{1}{2}\times 0.25 \times 4^2[/tex] J
= 2 J
The kinetic energy of the Chipmunk is 2 Joules.
Kinetic energy is the energy than an object possesses due to its motion. It is given by:
Kinetic Energy(KE) = (1/2)mv²
Where m is mass, v is velocity.
Given that m = 0.25 kg, v = 4 m/s, hence:
KE = (1/2)mv²
KE = (1/2) * 0.25 * 4² = 2J
The kinetic energy of the Chipmunk is 2 Joules.
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Lacey can type 105 words in 3 minutes. At this rate, how many words can she type in 26 minutes
solve if 2/3 + 1/3x = 2x
Answer:
x = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{3}[/tex] x = 2x
Multiply through by 3 to clear the fractions
2 + x = 6x ( subtract x from both sides )
2 = 5x ( divide both sides by 5 )
[tex]\frac{2}{5}[/tex] = x
Answer: x=2/5
Step-by-step explanation:
Trust me
The height of a rectangular prism is 3 in.. The perimeter is 88 in. (4 in. wide and 11 in. long). What is the value of the base?
Step-by-step explanation:
Given,
The height of a rectangular prism(h) = 3 in and
The perimeter of a rectangular prism = 88 in
To find, the base of a rectangular prism(b) = ?
We know that,
The perimeter of a rectangular prism = 2l + 2b or 2b + 2h or 2h + 2l
∴ 2b + 2(3) = 88
⇒ 2b = 88 - 6
⇒ 2b = 82
⇒ b = 41 in
Thus, the base of a rectangular prism(b) = 41 in.
WILL GIVE BRAINLIEST
What is the number of possible outcomes if two quarters are tossed at the same time and the numbers of heads and tails are counted?
A) 2
B) 3
C) 4
D) 6
2)
Caroline flips a coin 3 times. According to the tree diagram, how many possible outcomes exist?
A) 2
B) 4
C) 6
D) 8
3)
Kyle is purchasing a refurbished phone. He is looking at the phone models 4, 5, and 6, with a protective case in red (R), blue (B), or camo (C). What are all of the different choices he has?
A) {4, 5, 6}
B) {4R, 5B, 6C}
C) {4R, 4B, 4C, 5R, 5B, 5C}
D) {4R, 4B, 4C, 5R, 5B, 5C, 6R, 6B, 6C}
4)
You are going to roll two dice What are the outcomes in the sample space?
A) {1, 2, 3, 4, 5, 6}
B) {2, 4, 6, 8, 10, 12}
C) {1-1, 2-2, 3-3, 4-4, 5-5, 6-6}
D) {1-1, 1-2, 1-3, 1-4, 1-5, 1-6, 2-2, 2-3, 2-4, 2-5, 2-6, 3-3, 3-4, 3-5, 3-6, 4-4, 4-5, 4-6, 5-5, 5-6, 6-6}
5)
Hannah is getting dressed for a party. She plans to wear either shorts or jeans, a red, blue or green shirt, and flip flops or tennis shoes. According to the tree diagram, how many possible outfits can she make?
A) 8
B) 10
C) 12
D) 14
1st pic is 2nd q and 2nd pic is for 5th q
Answer:
1.) C
2.) C
3.) D
4.) D
5.) C
Step-by-step explanation:
1.) Each coin has two possible outcomes, and they are two coins in total.
2 (outcomes) x 2 (coins) = 4 possible outcomes
*hint: Look at the 1st column of the diagram and count how many branches come from it
*another hint: The branches are equal to the number of H's and T's in the 2 Column (4 branches or 4 possible outcomes)
2.) Each coin has two possible outcomes, and they are three coins in total.
2 (outcomes) x 3 (coins) = 6 possible outcomes
*hint: Look at the number of branches coming from 3 of the H's and T's in the 2nd column. (6 total branches or possible outcomes)
3.) They are 3 different types of phones, and 3 different types of cases.
3 (phones) x 3 (cases) = 9 possible combinations
{4R,4B,4C,5R,5B,5C,6R,6B,6C,}
*hint: Count 3 cases for each phone and add them (9 total)
4.)Each Dice has 6 sides (cube) and there are 2 Dice. But Each side gets paired with another side, so
6 (sides) x 6 (sides) = 36 possible outcomes
A - Shows outcomes for 1 Dice
B - Shows sum for both Dice
C - Shows some possible combinations when they are both the same number
D - Shows some more possible combinations including those when both dice are not the same number
D Appears to be the best answer as it has more details
5.) 2 Types of bottom wear (shorts or jeans), 3 Types of shirts (red, blue, green) and 2 Types of shoes (flip flops or tennis shoes).
2 (bottom) x 3 (top) x 2 (feet) = 12 possible combinations
*hint: For each bottom wear (shorts or jeans) there are 6 possible combinations so multiplying by two will give you the amount for each one.
Answer:
2 is 8 :)
Step-by-step explanation:
5(n + 3) -7n when n = 1/2
Answer:
14
Step-by-step explanation:
Replace n with 1/2
5(1/2 + 3) -7(1/2)
17.5 - 3.5
=14
So, n=14
Answer:
14
Step-by-step explanation:
5(n + 3) -7n
putting value of n
5(1/2 + 3) - 7/2
5(0.5 + 3) - 3.5
5(3.5) - 3.5
17.5 - 3.5
14
A box measures 4 inches by 2 inches by 3 inches. Find the volume of the box
in cubic feet. Enter your answer as a fraction. Use the '/' as the fraction bar.
Do not include units in your answer.
Answer:
24/1
Step-by-step explanation:
9(6u+5)+2(u-4) need solved
Answer:
Step-by-step explanation:
Subtract
6 u from 2 u .
− 4 u + 9 = 19
Move all terms not containing u to the right side of the equation.
− 4 u = 10
Divide each term by − 4 and simplify.
u = − [tex]\frac{5}{2}[/tex]
The result can be shown in multiple forms.
Exact Form:
u = − [tex]\frac{5}{2}[/tex]
Decimal Form:
u =− 2.5
Mixed Number Form:
u = − 2 [tex]\frac{1}{2}[/tex]
When solving graphically ,which system of equations will have exactly one point of intersection
Answer: you still need help? let me know okay UwU
Step-by-step explanation:
When solving graphically ,which system of equations will have exactly one point of intersection.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Let consider an example.
Consider the slope-intercept form of equations: y = -6x+8 and y=-3x-4
Since the slopes are different, the lines must intersect.
Because the lines intersect at a point, there is one solution to the system of equations the lines represent.
Hence, when solving graphically, the linear system of equations will have exactly one point of intersection.
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what is the answer to
3/8 +-4/5+-3/8+5/4
Answer:
0.45
Step-by-step explanation:
No explanation calculators rule
The Murphy family is on a road trip. On the first day, they traveled 30% of their total distance. On the second day, they traveled another 1/4 of the total distance. What fraction of the total distance do they have left after the second day? What percent?
After the second day of their road trip, the Murphy family has
9/20 or 45% of the total distance left to travel.
To solve this problem, let's denote the total distance of the trip as $D$.
On the first day, the Murphy family travelled 30% of the total distance, which can be written as:
[tex]\[ 0.30 \times D = \frac{30}{100} \times D = \frac{3}{10} \times D \][/tex]
On the second day, they travelled another 1/4 of the total distance, which is: [tex]\[ \frac{1}{4} \times D \][/tex]
The total distance travelled after two days is the sum of the distances travelled on the first and second days: [tex]\[ \frac{3}{10} \times D + \frac{1}{4} \times D \][/tex]
To add these fractions, we find a common denominator, which is 20:
[tex]\ total \ distance \ travelled =6/20D+5/20D[/tex]
[tex]\ total \ distance \ travelled =11/20D[/tex]
The remaining distance after the second day is:
Distance left=D−Total distance travelled
[tex]Distance \ left=D-11/20D[/tex]
[tex]Distance \ left=20/20 D-11/20D[/tex]
[tex]Distance \ left=9/20D[/tex]
Express the fraction and percentage of the distance left:
Fraction of the total distance left:
Fraction= Distance left/D
[tex]Fraction=9/20D/D=9/20[/tex]
After the second day, the Murphy family has 9/20 of the total distance left.
Percentage of the total distance left:
Percentage= Distance left/D×100%
[tex]Percentage= 9/20D/D*100%[/tex]
[tex]Percentage=9/20*100%[/tex]
[tex]Percentage=45[/tex]
Therefore, after the second day of their road trip, the Murphy family has
9/20 or 45% of the total distance left to travel.
1 In a test, a hybrid car drove 619 yards on 1 fluid
ounce of gasoline. To the nearest tenth, what is
this rate in miles per gallon?
A. 7.5 mi/gal
B. 15 mi/gal
C. 22.5 mi/gal
D. 45 mi/gal
The rate in miles per gallon will be 45 miles per gallon. Then the correct option is D.
What is conversion?Conversion means to convert the same thing into different units.
In a test, a hybrid car drove 619 yards on 1 fluid ounce of gasoline.
We know that 1 yard = 1/1760 miles. Then we have
619 yards = 619 x 1 / 1760 miles
We know that 1 fluid ounce = 1 / 128 gallons
The rate in miles per gallon will be
R = (619 / 1760) / (1 / 128)
R = 619 x 128 / 1760
R = 45 miles per gallon
The rate in miles per gallon will be 45 miles per gallon. Then the correct option is D.
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when a=2 b=3 and c=5 what is the value of a(b+c)
solve and show how you got the answer
Answer:
16
Step-by-step explanation:
If we plug in all the variables, we get 2(3+5)
Evalutation: 2(3+5)=2(8)=16
So the value is 16
Hope this helped!
Answer:
16
Step-by-step explanation:
a =2
b = 3
c =5
a(b +c)
2(3+5)
2x3 + 2x5
6 + 10
16
The length of the major axis of the ellipse below is 17, and the length of the
red line segment is 6. How long is the blue line segment?
Answer:
Option C. 11
Step-by-step explanation:
If a point P lies on an ellipse, The sum of distances between the point p and the foci will be equal the major axes.
So, applying the previous rule to the problem
The red line + the blue line = major axis
6 + the blue line = 17
So, the blue line = 17 - 6 = 11
The answer is option C. 11
A person is choosing between two cellphones.Data Plan A has a monthly free of $35 with a charge of $12 per gigabyte(GB).Data Plan B has a monthly fee of $25 with a charge of $17 per GB.
a) for how many GB of data will the costs for the two data plans be the same?what is the cost for each plan?
Answer:
When you use 2 GB
Step-by-step explanation:
Data Plan a Formula 35(12p)
P = per GB
Data Plan B 25(17p)
Set each on equal to each other
Please Check my work, but I think this is on the right track.
The costs for both the data plans A and B will be the same for 2GB of data. The cost for each plan will be $59.
Explanation:This problem is essentially asking us to find the number of gigabytes (GB) at which both data plans A and B cost the same. We can form two equations representing the costs of the plans. For plan A, the cost is $35 + $12 per GB. For plan B, the cost is $25 + $17 per GB. We can express these costs mathematically as: 35+12x=25+17x (where 'x' is the number of gigabytes). By solving this equation for 'x', we subtract 25 from both sides and also subtract 12x from both sides, which gives us 10 = 5x. Dividing by 5 from both sides give us x = 2 GB. So, for 2GB of data, the costs for both the data plans will be the same and the cost for each plan is $35 + 12(2) = $59 for plan A and $25 + 17(2) = $59 for plan B.
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Heather is making a blanket for her baby and is going to put a ribbon border around it. The blanket will be 3 feet by 5 feet. The fabric for the blanket cost $1.25 per square yard and the ribbon costs $.50 per foot. What is the approximate total cost for the blanket? A) $1.75 B) $10.08 C) $20.84 D) $26.75 E) $32.48
Answer:
The approximate total cost for the blanket is $10.08 ⇒ B
Step-by-step explanation:
The formula of the area of a rectangle is A = L × W
The formula of the perimeter of a rectangle is P = 2(L + W)
where:
L is the length of the rectangleW is the width of the rectangle∵ The baby blanket shaped a rectangle
∵ The dimensions of the blanket are 3 feet and 5 feet
- Find the area of the blanket
∵ A = 3 × 5 = 15 feet²
- Change feet to yard because the cost is by square yard
∵ 1 foot = [tex]\frac{1}{3}[/tex] yard
∴ 1 foot² = [tex](\frac{1}{3})^{2}=\frac{1}{9}[/tex] yard²
∴ 15 feet² = 15 × [tex](\frac{1}{9})[/tex] = [tex]\frac{5}{3}[/tex] yards²
∴ The area of the blanket is [tex]\frac{5}{3}[/tex] yards²
∵ The fabric cost of the blanket is $1.25 per square yard
∴ The fabric cost = [tex]\frac{5}{3}[/tex] × 1.25
∴ The fabric cost = 2.08333 dollars
∵ Heather is going to put a ribbon border around it
- The length of the ribbon is equal to the perimeter of the blanket
∵ P = 2(3 + 5) = 16 feet
∴ The length of the ribbon is 16 feet
∵ The cost of the ribbon is $0.5 per foot
∴ The cost of the ribbon = 16 × 0.5
∴ The cost of the ribbon = 8 dollars
Now add the fabric cost to the ribbon cost to find the total cost of the blanket
∵ The total cost = 2.08333 + 8
∴ The total cost = 10.08333
- Round it to the nearest cent
∴ The total cost = 10.08 dollars
The approximate total cost for the blanket is $10.08
What could you do to solve the problem below?
When Sabine set off to climb Mt. Marcy, she had 18 gummi bears in her bag.
When she returned to the lodge, she had 6 gummi bears left. How many
gummi bears did she eat during her hike?
A. Subtract 6 from 18
B. Multiply 18 by 6
C. Divide 18 by 6
D. Add 6 to 18
Answer: A. Subtract 6 from 18
Which expression is equivalent to (XY^−6)^2
XY^−36
x^2y^−12
x ^2y^12
xy^36
Answer:
answer is b
Step-by-step explanation:
look at picture shown
help me please so confsed
The answers is 2,200
Answer:
2600
Step-by-step explanation:
first you would round them to the nearest hundred. this means that if the figure in the tens column is greater than or equal to 5 you would round up. if it is less than 5 you round down
so 1400+400+800=
then you would add them up
so 1400+400+800=2600
1400+400=1800
1800+800=2600
The slope of a line that is perpendicular to a line whose slope is -2/7 is
Question 2
Sarah opens a savings account that has a 2.75% annual interest rate, compounded monthly. She deposits $500 into the
account. How much will be in the account after 15 years?
$500.00
$754.94
$1255.27
$255.27
Therefore $754.94 will be in account after 15 years.
Step-by-step explanation:
Given , Sarah opens a saving account that has a 2.75% annual interest rate , compounded monthly. She deposits $500 into the account.
P = $500, r = 2.75% = 0.0275 , t = 15 years and n= 12
[tex]Amount (A) =P(1+\frac{r}{n})^{nt}[/tex]
[tex]=\$500(1+\frac{0.0275}{12})^{(12\times15)}[/tex]
=$754.94
Therefore $754.94 will be in account after 15 years.
After 15 years with a 2.75% annual interest rate, compounded monthly, an initial deposit of $500 in a savings account will grow to approximately $754.94.
Explanation:The student has asked how much money will be in a savings account after 15 years with an initial deposit of $500 if the account has a 2.75% annual interest rate, compounded monthly. To calculate the future value of this account, we can use the compound interest formula:
A = P (1 + r/n)^(nt)
Where:
Here, P is $500, r is 0.0275 (2.75% expressed as a decimal), n is 12 (since the interest is compounded monthly), and t is 15 years.
So, the calculation is:
A = $500 * (1 + 0.0275/12)^(12*15)
By computing this, we can determine the future value of the savings account after 15 years:
A ≈ $500 * (1 + 0.00229167)^(180)
A ≈ $500 * (1.00229167)^180
A ≈ $500 * 1.510383954
A ≈ $754.94
Therefore, the amount in the savings account after 15 years will be approximately $754.94.
Will Has $2.25 in nickels and dimes . If there are twice as many dimes and nickels how many nickels and dimes does will have
Answer:
18 dimes and 9 nickels
Step-by-step explanation:
I assume you mean twice as many dimes "then" nickels which would make it 18 dimes = 1.80$ 9 nickels=0.45$
Amelia’s hourly wage is $3.50 less than double David’s hourly wage. Write an equation to find David’s hourly wage
The equation to find David’s hourly wage is:
David’s hourly wage = [tex]\frac{1}{2}[/tex] x + 1.75, where x represents Amelia’s hourly wage
Step-by-step explanation:
The given is:
Amelia’s hourly wage is $3.50 less than double David’s hourly wage
We need to find an equation to find David’s hourly wage
Assume that:
Amelia's hourly wage is xDavid’s hourly wage is y∵ Amelia’s hourly wage is $3.50 less than double David’s
hourly wage
- That means multiply David’s hourly wage by 2, then
subtract 3.50 from the product to get Amelia’s hourly wage
∴ x = 2y - 3.50
Now let us find y in terms of x
∵ x = 2y - 3.50
- Add 3.5 to both sides
∴ x + 3.50 = 2y
- Divide each term by 2
∴ [tex]\frac{1}{2}[/tex] x + 1.75 = y
- Switch the two sides
∴ y = [tex]\frac{1}{2}[/tex] x + 1.75
∵ y represents David’s hourly wage
∴ David’s hourly wage = [tex]\frac{1}{2}[/tex] x + 1.75, where x represents
Amelia’s hourly wage
The equation to find David’s hourly wage is:
David’s hourly wage = [tex]\frac{1}{2}[/tex] x + 1.75, where x represents Amelia’s hourly wage
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That is 30/8 simplified
Answer:
3 3/4
Step-by-step explanation:
Answer:
15/4
in order to simplify you need to find the gcf (greatest common factor) and divide by that number on both numerator and denominator, since two is the gcf, 15/4 is the answer
9.42 multiplied by 6.83
The product of 9.42 and 6.83 is found by direct multiplication, which is not listed in the reference provided. The correct answer, using standard multiplication, is approximately 64.355 when rounded to three decimal places.
To calculate the product of 9.42 multiplied by 6.83, we use the multiplication method that is taught in mathematics. Multiplying these two numbers together is a straightforward process:
9.42 × 6.83
This calculation is something we can easily undertake with a calculator or by using the long multiplication technique. Neither of the reference information provided lists this specific product, so to ensure accuracy, we would perform the calculation directly. The correct solution is not provided in the data set above.
The answer to 9.42 multiplied by 6.83 is approximately 64.355 when rounded to three decimal places.