write 13/12 as a mixed number
Answers
Answer:
1 1/12 is the answer...
Answer:
1/1/12
Step-by-step explanation:
Related Questions
The tax rate as a percent, r, changed an item can be determined using the formula c/p-1=r, where C is the final cost of the item and P is the price of the item before tax Louis rewrite the equation to solve for the final cost of the item: c=p(1+r). What is the final cost of a $40 item after an 8% tax is applied
Answers
Answer:
\( c= 40(1+0.08) = 40*1.08= 43.2\)
The final cost would be $43.2
Step-by-step explanation:
For this case from the notation given we know that the final cost is given by C and the formula is:
\( C= p(1+r)\)
Where C is the final cost, p the price of the item before tax and r the tax on fraction. And for this case we want to find the final value with 8% of tax so we can do the following operation:
\( c= 40(1+0.08) = 40*1.08= 43.2\)
The final cost would be $43.2
Raphael and his four friends are having lunch. They agree to split the bill evenly at the end after adding a 20% tip. If the total bill is $85.60, how much will each person end up paying? A. $25.68 B. $20.54 C. $18.68 D. $17.12
Answers
The total amount to each person end up paying $20.54.
To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.
To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.
The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.
Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.
To split this evenly among the five people, we divide by 5:
$102.72 ÷ 5 = $20.54
So each person will end up paying $20.54.
20% of $85.60 is ($85.60 * 0.20) = $17.12
Add the tip to the total bill:
$85.60 + $17.12 = $102.72
Divide the total amount by the number of people (5): $102.72 / 5 = $20.54
Therefore, the answer is B. $20.54.
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The sum of two numbers is 18 and the sum of their reciprocals is Find the numbers. 1/4
Answers
Answer:
12 and 6
Step-by-step explanation:
Let the numbers be x and y
Sum of two numbers is 18.
⇒ x + y = 18 ----------------(II)
\(\sf \text{Reciprocal of x = $\dfrac{1}{x}$}\\\\ \text{Reciprocal of y =$\dfrac{1}{y}$}\)
Sum of reciprocals is 1/4
\(\sf \dfrac{1}{x}+\dfrac{1}{y}=\dfrac{1}{4}\\\\ \dfrac{1*y}{x*y}+\dfrac{1*x}{y*x}=\dfrac{1}{4}\\\\\dfrac{y}{xy}+\dfrac{x}{xy}=\dfrac{1}{4}\\\)
\(\sf \dfrac{x +y}{xy}=\dfrac{1}{4}\)
Plugin (x +y = 18)
\(\dfrac{18}{xy}=\dfrac{1}{4}\\\\\)
Cross multiply,
18*4 = 1*(xy)
xy = 72
\(x = \dfrac{72}{y}\)
Substitute x value in equation (I)
\(\dfrac{72}{y}+y=18\\\\\text{Multiply the entire equation by y}\\\\\\ 72 + y^2=18y\\\)
y² - 18y + 72 = 0
y² - 12y - 6y + 72 = 0
y(y -12) - 6(y - 12) = 0
(y - 12)(y -6 ) = 0
y - 12 = 0 ; y - 6 = 0
y = 12 ; y = 6
The numbers are 12 , 6-5 देखि+5सम्म कतिवटा पुर्ण सङ्ख्याहरु छन् ?
Answers
Answer:
-5,-4,-3,-2,-1,0,1,2,3,4,5
-5 देखि+5सम्म 11 पुर्ण सङ्ख्याहरु छन्
mark me as brainliest
what is 24=78^2 what is it
Answers
Answer:
24 = 6084
Step-by-step explanation:
24 is already simpflied. So 78 times 78 is left.
Which is easy and equals to 6084.
please help me ..............................................................................
Answers
Hiyaaa! I'm Nat and I'm gonna help you~♡
Thermo means heat! So. Thermosphere has to relate to hot and warm things.
Meso meaning middle,or intermediate.
,
Thermosphere = is very hot,satellites travel here,reached out into spaceMesosphere= Directly under the stratosphere,is very cold,acts has a barrierHope this helps!!
Brainliest?
-Nat
Roy is skiing on a circular ski trail that has a radius of 0.7 km. Roy starts at the 3-o'clock position and travels 2.15 km in the counter-clockwise direction. a. How many radians does Roy sweep out? _____ radians Preview b. When Roy stops skiing, how many km is Roy to the right of the center of the ski trail? _____ v km Preview c. When Roy stops skiing, how many km is Roy above of the center of the ski trail? _____ * km
Answers
Part a: Roy sweeps out 2.15/0.7 radians.
Part b: When Roy stops skiing, he is cos(3.071)(0.7) km to the center of the ski trial
Part c: When Roy stops skiing he is sin(3.071)(0.7) km above the centre of the ski trail
The radius of the ski trail= 0.7 km
Roy starts 3 o'clock position and travels 2.15 km in the counter-clockwise direction.
Let O be the centre of ski trial, A be the starting point(3-o'clock position) and consider he is now at point B.
Now, using the formula for arc length.
Arc length=(Radius)(angle at center)
2.15=(0.7)θ
θ=2.15/0.7
Roy sweep out 2.15/0.7 radians.
Part b:
When Roy stops skiing how many km is Roy to the right of the ski trial
In part, a figure draws the vertical line from point B on the horizontal line. Get the right-angle triangle
Here to find the length OP. In right angle triangle cos θ=Adjacent side/hypotenuse,
As in part, a central angle is 2.15/0.7=3.071.
Therefore,
cos(3.071)=OP/0.7
OP=cos(3.071)(0.7)
cos(3.071)(0.7) km.
Part c:
When Roy stops skiing how many km is Roy above the centre of the ski trial
From figure part of part b, we have to calculate side BP.
In right angle triangle sin(θ)=Opposite side/hypotenuse
Therefore,
sin(3.071)=BP/0.7
BP=sin(3.071)/(0.7)
sin(3.071)(0.7) km.
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find the values of x and y that maximize the objective function c = 3x + 4y for the graph
Answers
Answer: The correct answer is x=0 and y=4 or (0,4) per the graph
Step-by-step explanation:
To find the maximum value, we must test each point using the equation:
Check for (0,4):
C=3x+4y
C=3(0)+4(4)
C=16
Check for (2,2):
C=3(2)+4(2)
C=6+8
C=14
Check for (4,0):
C=3(4)+4(0)
C=12
Answer:
Step-by-step explanation:
Simplify the following expression:
√-36+√-100+ 7
O A. 7+ 16i
OB. 7+√136i
O C. 16
C. 16 - 7i
O D. 23 + 0i
Answers
√-36 + √-100 + 7
To simplify this expression, we need to first remove the negative radicals. We can do this by squaring both sides of the equation:
√-36 = -6
√-100 = -10
Substituting these values back into the expression, we get:
-6 + -10 + 7 = -19 + 7 = -12
So, the simplified expression is:
-12
Since the expression is already in its simplified form, there is no need to factor it further.
In how many ways can Tim draw a red or a green marble from a jar containing 20 red marbles and 4 green marbles?
Answers
The correct answer to how many different ways he can draw is 24.
Read the following statement:
If m∠A = m∠B, then m∠B = m∠A.
This statement demonstrates:
the transitive property of equality.
the reflexive property of equality.
the symmetric property of equality.
Answers
m∠A = m∠B, then m∠B = m∠A. represents the symmetric property of equality.
What is symmetric property?The symmetric property of equality in mathematics is actually fairly straightforward. According to this criterion, if a = b, then b must also be a. In other words, even if we swap the sides of an equation, the result still holds true.
The symmetric property on a set generally indicates that if one element is connected to a second element in accordance with the relation defined on the set, then the second element is also related to the first element.
As m∠A = m∠B this implies that angle B is also equal to A.
m∠A = m∠B, then m∠B = m∠A. represents the symmetric property of equality.
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The velocity function, in feet per second, is given for a particle moving along a straight line.
v(t) = t2 − t − 182, 1 ≤ t ≤ 15
(a) Find the displacement
(b) ) Find the total distance that the particle travels over the given interval.
Answers
Answer:
a)2
B)2
Step-by-step explanation:
How do I prove that B is the answer? (I know that B is correct because my teacher showed the answer key.) Please answer urgently!
Answers
9514 1404 393
Answer:
2) 5.6
Step-by-step explanation:
The tangent relation is ...
Tan = Opposite/Adjacent
tan(θ) = 2.4/x = 3/7 . . . . . use the given values
x = 2.4(7/3) . . . . . . . . . . . multiply by (7/3)x
x = 5.6 . . . . . . . . . . . simplify
**WILL GIVE BRAINLIEST!
pre-calculus question, image attached
Answers
Answer:
Sorry, Don't know the answer.
Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually
consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating
their income and taxes.
One company buys a new bulldozer for $120300. The company depreciates the bulldozer linearly over its
useful life of 18 years. Its salvage value at the end of 18 years is $16800.
A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use
function notation.
B) The value of the bulldozer after 10 years is $
Answers
1) The value of the bulldozer, V, as a function of how many years old it is, t is; V(t) = –$5750t + $120300
2) The value of the bulldozer after 10 years is; $62,800
What is the Value after depreciation?The bulldozer depreciation is "linear" and this tells us that it will be a straight line graph. Thus, the depreciation can be represented by the slope intercept form as;
y = mx + c
In the slope intercept form of linear equation;
m is slope
c is the y intercept, which is the value of y when x is zero.
V is expressed as a function of t, so;
m = ($120300 – $16800)/(0years – 18years)
m = –$5750
We are given that when time starts (upon purchase), t = 0, the value of the bulldozer, V, is $120300.
Thus, by using y = mx + c, we have
V(t) = –$5750t + $120300
B) The value of the bulldozer after 10 years is;
V(10) = (–$5750 * 10) + $120300
V(10) = -57500 + 120300
V(10) = $62,800
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Someone HELPPppp for tmr
Answers
Answer:
y=1x-6
Step-by-step explanation:
First we find the slope by using rise over run. So you can either count up and over(rise/run) or use the slope formula y2-y1/x2-x1. You will find that the slope is 1, so plug that into the equation for mx. So we have y=1x so far. Then we find the y-intercept by looking where the graph intersects the y-axis. As you can see it intersects at -6, so plug -6 into the equation for b. No we have our full equation of y=1x-6.
-Hope this helped
"Our new
training room can seat 150
employees. If 6 tables consisting of 6
chairs are now taken, what
percentage of our new facility's
seating is full?"
Employee: "At this point, we have
used up
of our new seating
capacity."
Answers
The percentage of our new facility's seating is full will be 76%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
Our new training room can seat 150 employees.
If 6 tables consisting of 6 chairs are now taken.
Then the number of occupied seats by tables will be
⇒ 6 x 6
⇒ 36
Then the percentage of our new facility's seating is full will be
P = [(150 - 36) / 150] x 100
P = (114/150) x 100
P = 0.76 x 100
P = 76%
The percentage of our new facility's seating is full will be 76%.
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Simon swapped of 2/5
his 40 marbles for 9 of
Saqib's. How many has
Simon got now?
Answers
Answer:
33
Step-by-step explanation:
2/5x40=16
40-16=24
24+9=33
33 marbles
2/5 is .4
Multiply .4 by 40 to get 16
Subtract 16 from 40 to get 24
Add 9 to 24 to get 33
Hope it helps <3
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Changes in Current Operating Assets and Liabilities-
Indirect Method
Victor Corporation's comparative balance sheet for
current assets and liabilities was as follows:
Accounts receivable
Inventory
Accounts payable
Dec. 31, 20Y2 Dec. 31, 20Y1
$17,200
$15,900
52,400
53,100
22,100
21,300
?
Answers
The net cash inflow from the operating activities is $82,600.
What is the Operating Activities?
Under Statement of Cash flow, these are activities involved in the primary business operations generally the production and selling of goods and providing services are operating activities. It represents the company's major part of profitability.
Victor Corporation Partial Cash Flow Statement For the year ended Dec. 31, Year 2Particulars Amount
Cash Flow from Operating Activities
Net Income $82,400
Changes in the working capital:
Increase in accounts receivable ($17200-$15900) ($1,300)
Decrease in inventory ($53,100-$52,400) $700
Increase in accounts payable ($22,100-$21,300) $800
Net Cash inflow from operating activities $82,600
Missing words "Adjust net income of $82,400 for changes in operating assets and liabilities to arrive at net cash flow from operating activities."
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what's 2x3x4x7x6x9x0
Answers
Answer:
0
Step-by-step explanation:
=)
PLEASE HELP ME QUICK!!
A company produces circular drink coasters. The equation x2 + y2 = 18.0625, with units in inches, represents the size of a coaster. Each coaster is cut from a square piece of cardboard. What is the minimum possible area of each cardboard piece?
4.25 in^2
8.5 in^2
18.0625 in^2
72.25 in^2
Answers
Answer:
D
Step-by-step explanation:
72.25 in^2
The minimum possible area of each square cardboard piece that is used to produce circular drink coasters is 72.25 in².
What is the equation of a circle?The equation of the circle is the equation that is used to represent the circle in the algebraic equation form with the value of the center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
\((x-h)^2+(y-k)^2=r^2\)
Here (h,k) is the center of the circle, and (r) is the radius of the circle.
A company produces circular drink coasters. the equation which represents the size of a coaster is,
\(x^2+y^2=18.06\)
The units are in inches. This equation can be written as,
\(x^2+y^2=(280/16)\)
\(x^2+y^2=(17/4)^2\)
Compare it with the equation of the circle, we get,
h=0
k=0
r=17/4 inch
The radius of the circular coaster is 17/4. Its diameter of it is,
\(d=2\times \frac{17}{4}\\ \\d=\frac{17}{2}\)
Now, each coaster is cut from a square piece of cardboard. The diameter of the circular coaster will be equal to the side of the square piece of cardboard.
a=d=17/2 inch
The area of the square is the square of its side. Thus, the area of a square piece of cardboard is,
A=a^2
A=(17/2)^2
A=75.25inch^2
Thus, the minimum possible area of each square cardboard piece that is used to produce circular drink coasters is 72.25 in².
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The domain of a function f(x) is x 20, and the range is ys-1. What are the
domain and range of its inverse function, F1(x)?
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Domain :
\(x \leqslant - 1\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Range :
\(y \geqslant 0\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
If DF=9x-39, find EF
Answers
Answer:
\(EF = 58\)
Step-by-step explanation:
Given
\(DF = 9x - 39\)
\(DE = 47\)
\(EF = 3x + 10\)
See attachment
Required
Find \(EF\)
Because E is a point between D and F, then:
\(DF = DE + EF\)
Substitute values for DF, DE and EF
\(9x - 39 = 47 +3x + 10\)
Collect Like Terms
\(9x -3x = 47 +39 + 10\)
\(6x = 96\)
Make x the subject
\(x = \frac{96}{6}\)
\(x = 16\)
Recall that:
\(EF = 3x + 10\)
Substitute 16 for x
\(EF = 3 *16 + 10\)
\(EF = 48 + 10\)
\(EF = 58\)
Natural numbers are ? Integers
Answers
Answer:
natural numbers are the positive numbers that begins from 1 ...
but integers include natural numbers , it's negative and zero
A student measures the mass of a sample is 2.7 grams. What is the percent error, given that the correct mass is 2.58 grams? Round to the nearest hundredth of a percent.
Answers
Answer:
the percent error in the student's measurement is 4.65%.
Step-by-step explanation:
The percent error can be calculated using the formula:
| (measured value - actual value) / actual value | * 100%
In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:
| (2.7 - 2.58) / 2.58 | * 100% = 4.65%
Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.
Therefore, the percent error in the student's measurement is 4.65%.
The circle below has center O, and its radius is 3 ft. Given that m AOB = 160°, find the length of the arc ADB and the area of the shaded region. Give exact answers in terms of , and be sure to include the correct units in your answer.
Answers
Answer:
The length of the arc ADB is (8/3)π ft and the area of the shaded region is 4.5 ft^2 - 4π ft^2.
Step-by-step explanation:
In the given circle with center O and radius 3 ft, let's consider the angle AOB, which is given as 160°. We need to find the length of the arc ADB and the area of the shaded region.
To find the length of the arc ADB, we can use the formula for the circumference of a circle and calculate the fraction of the total circumference represented by the angle AOB.
The circumference of a circle is given by 2πr, where r is the radius. In this case, the radius is 3 ft. Therefore, the total circumference is 2π(3) = 6π ft.
To find the length of the arc ADB, we calculate the fraction of the total circumference represented by the angle AOB. Since the angle AOB is 160° out of 360°, the length of the arc ADB is (160/360) * 6π ft = (4/9) * 6π ft = (8/3)π ft.
Next, to find the area of the shaded region, we need to subtract the area of the sector AOB from the area of triangle AOB. The area of the sector AOB is (160/360) * π * (3)^2 = (4/9) * 9π = 4π ft^2. The area of triangle AOB is (1/2) * 3 * 3 = 4.5 ft^2.
Therefore, the area of the shaded region is 4.5 ft^2 - 4π ft^2 = 4.5 ft^2 - 4π ft^2.
In summary, the length of the arc ADB is (8/3)π ft and the area of the shaded region is 4.5 ft^2 - 4π ft^2.
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Work out the length of x. Give your answer rounded to 3 significant figures. 13.3 mm 5.5 mm The diagram is not drawn accurately. X = 0 mm x
Answers
Step-by-step explanation:
Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.
To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.
Perimeter = 13.3 mm + 5.5 mm + X mm
The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.
To find X, we can subtract the sum of the known sides from the perimeter:
X mm = Perimeter - (13.3 mm + 5.5 mm)
Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.
Please help need answer to this
Answers
The probability that the mouse in each age group would be killed by the wolf would be;
0.5 =0.36151-5 = 0.16226-10 =0.250011-15 =0.216216-20 = 0.0101How to calculate the probability of the given events above?To calculate the probability of the given events above, the formula for probability should be used and this is given as follows:
Probability = possible outcome/sample space
The sample space = 296
For calf 0.5yr = 107/296 = 0.3615
calf 1-5 = 48/296 = 0.1622
calf 6-10 = 75/296 = 0.2500
calf 11-15 = 64/296 = 0.2162
calf 16-20 = 3/296 = 0.0101
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PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!!!!!!!!!!!
Answers
Answer:
18.84 feet is the right answer
Answer:
18.84 feet
Step-by-step explanation:
The formula for the circumference of the circle is ...
Circumference = πd
(where d is the diameter of the circle)
Therefore the circumference of this circle is equal to...
Circumference = πd
Circumference = (3.14)(6)
Circumference ≅ 18.84 feet
A fishing supply store buys fishing rods for $11 and sells them at a markup of 220%. One day, they decide to put the rods on sale and mark them down by 20%.
What is the sale price of a fishing rod?
Answers
the sale price of a fishing rod is $28.16.
How to do?
The markup of 220% means the store sells the rods for 100% + 220% = 320% of the cost price.
So, the selling price of one fishing rod before the discount is:
320% of $11 = (320/100) x $11 = $35.20
Now, the rods are marked down by 20%, which means the selling price is reduced by 20% of $35.20:
20% of $35.20 = (20/100) x $35.20 = $7.04
Therefore, the sale price of one fishing rod after the 20% discount is:
$35.20 - $7.04 = $28.16
So, the sale price of a fishing rod is $28.16.
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