Answer:
Step-by-step explanation:
The ratio suggests that there are significantly more athletes from other grades or participating in other sports compared to the number of 6th grade football players.
The ratio 8:73 represents the ratio of 6th grade football players to total athletes. In the given scenario, the total number of 6th grade football players is 8, while the total number of athletes from all grades combined is 73. A ratio compares two quantities or values and expresses their relationship in terms of division. In this case, the ratio is 8:73, which means that for every 8 6th grade football players, there are 73 total athletes in the school.
This ratio provides information about the proportion of 6th grade football players relative to the total number of athletes. It indicates that 6th grade football players make up a relatively small portion of the entire athlete population at Top-Notch Middle School.
Understanding and analyzing ratios can help in evaluating and comparing different quantities or categories within a given context. In this case, the ratio highlights the distribution of athletes across different grades and sports, emphasizing the relative representation of 6th grade football players in relation to the overall athlete population at the school.
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100 PTS | Find the volume of the object in the attached image in m^3
The volume of the object is,
⇒ V = 150 m³
We have to given that;
A figure of object is shown in image.
Now, We know that;
Volume of cuboid = length x width x height
Hence, The volume of the object is,
⇒ V = (8 x 3 x 4) + (6 x 3 x 3)
⇒ V = 96 + 54
⇒ V = 150 m³
Thus, The volume of the object is,
⇒ V = 150 m³
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Find the distance between the points (5, – 4) and (10,8). If necessary, round your answer to the nearest tenth.
Step-by-step explanation:
the coordinate grid allows us to use Pythagoras as the distance formula.
the triangle is created by the differences of the x and y coordinates as legs, and the Hypotenuse is the distance.
distance² = (10 - 5)² + (8 - -4)² = 5² + 12² = 25 + 144 = 169
distance = 13
You spin the spinner once. 5,3,4 What is P(even)? Write your answer as a fraction or whole number.
A rectangular park is 150 yd long and 100 yd wide. How much is the area of the park yd2.
Answer:
1500
Step-by-step explanation:
Rectangle formula is b x h. Base is 150, height is 100. So multiplied it will be 1500
Answer:
1500
Step-by-step explanation:
multiplicado será 1500
Natalie is admiring a statue in Campbell Park from 8 meters away. If the distance between the top of the statue to Natalie's head is 10 meters, how much taller is the statue than Natalie?
Natalie is 2 meters taller than the statue.
To solve this problem
Calculating the distance in height between Natalie's head and the statue's peak is necessary.
According to the information provided, Natalie is located 8 meters from the statue, and Natalie's head is 10 meters from the top of the monument.
With the aid of the comparable triangles idea, we can establish the ratio shown below:
(height of statue) / (distance to statue) = (height difference) / (distance to Natalie's head)
Let's denote the height of the statue as "H" and the height difference as "D." The proportion can be written as:
H / 8 = D / 10
To find the height difference (D), we can rearrange the equation:
D = (H / 8) * 10
Given that the distance between the top of the statue and Natalie's head is 10 meters, we can substitute this value into the equation:
10 = (H / 8) * 10
Dividing both sides by 10:
1 = H / 8
Multiplying both sides by 8:
H = 8
Therefore, the height of the statue is 8 meters.
We deduct Natalie's height (10 meters) from the statue's (8 meters) height to find the height gap between the two:
Height difference = Statue's height - Natalie's height
= 8 - 10
= -2
The negative value indicates that Natalie's height is 2 meters taller than the statue.
Therefore, Natalie is 2 meters taller than the statue.
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the answer is 9.6 but i don’t know how to solve it
Plot twist:
The answer is actually is 16
Step-by-step explanation:
15/10 = 1.5) 24/1.5 = 16
The answer is 16
If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)
If leg b is unknown, then: b = √(c² - a²)
For hypotenuse c missing, the formula is: c = √(a² + b²)
Jack's earning for last year were $345,000 and he got $2000 in interest. If he deposited $5000 to a tax-deferred plan, calculate his Gross Income, his Adjusted Gross income and his Taxable income. (He is filing as a single)
Please help!! I will give brainlist
Determine the measure of the unknown angle or arc. Show your work.
The measure of the unknown angle or arc are 142 degrees, 65 degrees and 36 degrees
How to determine the measure of the unknown angle or arcFigure 1
The measure of the angle is calculated as
Angle 1 = 1/2 * 284 degrees
Evaluate the expression
Angle 1 = 142 degrees
Figure 2
The measure of the angle is calculated as
Angle 1 = 1/2 *(72 + 58) degrees
Evaluate the expression
Angle 1 = 65 degrees
Figure 3
The measure of the angle is calculated as
Angle 1 = 1/2 *(138 - 66) degrees
Evaluate the expression
Angle 1 = 36 degrees
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Help please I have to answer these questions using the graph.
Using the graph the problem is soled as follows
a. The concentration of the drug in 8 hours is 24 mg/L
b. The concentration of the drug is increasing from 0 to 2 hours and the concentration of the drug is decreasing from 2 to 20 hours
When does the drug have maximum concentrationc. The maximum concentration occurred in 2 hours and the maximum concentration at this time is 64 mg/L
d. The time required for the drug concentration to reduce to 16 mg/L is 8 hours.
at maximum it was at 2 hours while at 16 mg/L it was at 10 hours. by subtraction we have
10 - 2 = 8 hours
e. The graph will predict values close to zero but not equal to zero
f. The concentration of the drug is summarized as follows
The concentration rise to its peak which is 64 mg/L at 2 hours and after this time, the concentration is on a steady decline. at 20 hours it is at about 2 mg/L and continued decreasing
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what is the domain and range to y=|x+4|
Answer:
x ∈ (- ∞, + ∞) and y ∈ [0, + ∞)--------------------------
Given is the absolute value function.
It has no domain restriction but the range is not negative.
It can be shown as:
Domain: x ∈ (- ∞, + ∞)Range: y ∈ [0, + ∞)The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
What is the length of AD?'
Use the given information to complete the worksheet.
Thank you!
The length of side AD is,
⇒ AD = 16
We have to given that;
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
Since, Volume of right triangular prism is,
V = 1/2 (bh) x L
Substitute all the values we get;
V = 1/2 (22 × 11) × AD
1936 = 121 × AD
AD = 16
Thus, The length of side AD is, 16
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I need help with this please help me
The measures of the inscribed angle and the angle at the center theorem indicates;
m[tex]\widehat{JML}[/tex] = 176°m∠ABC = 17°m∠WXY = 59°m[tex]\widehat{RS}[/tex] = 105°m[tex]\widehat{FE}[/tex] = 54°m∠GIJ = m∠GHJ = 73°m∠A = 79°, m∠B = 112°m∠Q = 89°, m∠R = 123°, m∠S = 91°x = 24x = 2x = 23x = 11What is the angle at the center theorem?The angle at the center theorem states that the angle an arc subtends at the center of a circle is twice the angle that the arc subtends at the circumference of the circle.
The inscribed angles in the circle and the angle at the center of a circle theorem indicates that we get;
1. The angle ∠JKL indicates that the arc m[tex]\widehat{JML}[/tex] = 2 × 88 = 176°
2. m∠ABC = 34°/2 = 17°
3. Arc [tex]\widehat{WY}[/tex] = 360° - (156° + 86°) = 118°
∠WXY = 118°/2 = 59°
4. m[tex]\widehat{TR}[/tex] = 2 × 42° = 84°
m[tex]\widehat{RS}[/tex] = 360° - (84° + 171°) = 105°
5. ∠DFE = 90°
∠FDE = 90° - 63° = 27°
m[tex]\widehat{FE}[/tex] = 2 × 27° = 54°
6. ∠GHJ = (360 - (68 + 31 + 115))/2 = 73°
m∠GIJ = m∠GHJ = 73°
7. m∠A = 180° - 101° = 79°
m∠B = 180° - 68° = 112°
8. m∠Q = (137 + 41)/2 = 89
m∠Q = 89°
m∠R = 180° - 57° = 123°
m∠S = 180° - 89° = 91°
9. 6·x - 10 = 2 × 67° = 134°
x = (134 + 10)/6 = 24
x = 24
10. 7·x + 9 = 46°/2 = 23°
x = (23 - 9)/7 = 2
x = 2
11. 5·x + 2 = (360 - 87 - 39)/2 = 117
5·x + 2 = 117
5·x = 117 - 2 = 115
x = 115/5 = 23
x = 23
12. 17·x - 20 = (360 - 75 - (2 × 59)) = 167
17·x - 20 = 167
17·x = 167 + 20 = 187
x = 187/17 = 11
x = 11
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NO LINKS!! URGENT HELP PLEASE!!!
Determine if the two triangles are congruent. If they are, state how you know.
#5 and 6
Answer:
5. AAS (Angle-Angle-Side) axiom
6. ASA (Angle-Side-Angle) axiom
Step-by-step explanation:
Note:
There are four basic conditions under which two triangles are congruent. These are:
SSS (Side-Side-Side): If all three pairs of corresponding sides of two triangles are equal, then the triangles are congruent.SAS (Side-Angle-Side): If two pairs of corresponding sides of two triangles are equal, and the angles between those sides are also equal, then the triangles are congruent.ASA (Angle-Side-Angle): If two pairs of corresponding angles of two triangles are equal, and the sides between those angles are also equal, then the triangles are congruent.AAS (Angle-Angle-Side): If two pairs of corresponding angles of two triangles are equal, and the side that includes one of those angles is also equal, then the triangles are congruent.One of the conditions should be needed to fulfill to determine whether the two triangles are congruent.
Over here:
5.
In ΔABC and ΔBCD
∡BAC= ∡BDC Given Angle
∡BCA=∡CBD Given Angle
BC=BC Same side Side
It fulfills the condition of the AAS (Angle-Angle-Side) axiom.
ΔABC ≅ ΔBCD by AAS (Angle-Angle-Side) axiom.
6.
In ΔVOL and ΔVOE
∡LOV= ∡EOV Given Angle
VO=VO Same side Side
∡LVO=∡OVE Given Angle
It fulfills the condition of the ASA (Angle-Side-Angle)axiom.
ΔVOL≅ ΔVOE by the ASA (Angle-Side-Angle) axiom.
Natalie borrowed money from her parents to pay for a trip.
Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed.
The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks.
Number of Weeks Natalie Has Paid, Amount Natalie Still Owes,
0 $180.
2 $162.
4 $144.
6 $126.
8 $108.
How much does Natalie pay her parents each week per week, Write a function that shows the relationship between the amount Natalie still owes, and the number of weeks she has paid,
Answer:
The answer is as follows
Step-by-step explanation:
Natalie borrowed $180 from her parents. Over the course of 8 weeks, she paid back equal amounts every 2 weeks. We can find the amount she pays each week by finding the difference in the amount she owes between two consecutive weeks and dividing by 2.
For example, between week 0 and week 2, she paid back $180 - $162 = $18. Dividing by 2, we get $9 per week. Similarly, between week 2 and week 4, she paid back $162 - $144 = $18, so she pays $9 per week. We can do this for all the consecutive weeks to find the average amount she pays per week:
- Between week 0 and week 2: $9 per week
- Between week 2 and week 4: $9 per week
- Between week 4 and week 6: $9 per week
- Between week 6 and week 8: $9 per week
So Natalie pays her parents $9 per week.
To write a function that shows the relationship between the amount Natalie still owes and the number of weeks she has paid, we can use the formula:
Amount owed = $180 - $9 * (number of weeks paid)
or
Amount owed = $180 - $9x
where x is the number of weeks paid.
Rearrange Fractions
Make x the subject of these equations
y = x/x-7
y = x+2/x-5
y = a-2x/bx+8
y = 5x-12/5x-7
w/8 + 9/x = 2
Peter had a sum of money. He gave his wife $1400 and spent $400 on a TV set. Then he gave 2/5 of the remaining money to his 3 children. Each child received 1/12 of the money, how much did each child receive?
Peter had no money left to give to his children and each child received $0.
Let's start by finding the amount of money Peter had initially:
Initial money = Money is given to wife + Money spent on TV + Remaining money
Initial money = $1400 + $400 + Remaining money
Initial money = $1800 + Remaining money
Next, we need to find the amount of money Peter had left after giving $1400 to his wife and spending $400 on a TV set:
Remaining money = Initial money - Money is given to wife - Money spent on TV
Remaining money = ($1800 + Remaining money) - $1400 - $400
Remaining money = $1800 + Remaining money - $1800
Remaining money = $0
This means that Peter spent all his money on his wife and the TV set, so he had no money left to give to his children.
Therefore, each child received $0.
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Find the volume of the attached image in x^3
Answer:
150
Step-by-step explanation:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'.
You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same distance from the shoreline but 30 feet closer to the station than you. The angles of elevation from you and the other person to the top of the lifeguard station are 26° and 51°, respectively. Estimate the height of the lifeguard station to the nearest tenth of a foot.
A machine produces 80 plastic cups per minute. How many cups can it produce in m minutes? Drag the expression that represents the scenario to the box.
80+m, 80-m, 80/m, 80m
The expression that represents the scenario is 80m
To solve this problem, we need to use the given information that the machine produces 80 cups per minute.
We can set up a proportion to find how many cups the machine can produce in m minutes:
80 cups / 1 minute = x cups / m minutes
Solving for x, we can cross-multiply and simplify:
80 cups x m minutes = 1 minute (x cups)
x = 80 cups x m minutes / 1 minute
x = 80m cups
Therefore, the expression that represents the scenario is 80m. This means that the machine can produce 80 times the number of minutes in cups. For example, if the machine runs for 5 minutes, it can produce 80 x 5 = 400 cups.
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Why do investors invest in stocks of different companies?
Investors invest in stocks of different companies to earn
and to make a profit when they sell the stocks at a higher price.
In the current market, investors must take a number of factors and problems into account. wide-ranging financial market categories, such as equities and bonds.
We have,
An investor is someone or anything who makes investments in other people or things with the intention of profiting from them in the future. Everyone who makes a financial commitment to something qualified as an investor by definition.
We have,
A individual or a company that utilizes its own funds or funds borrowed from other people with the goal of creating a profit is an investor. Investors might include individuals who purchase stocks online from the comfort of their own home or multibillion dollar funds that invest around the globe.
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complete question:
How are an investor today and an
investor of the 1920s similar
concerning investments in the
stock market?
They both have the
same number of
companies to choose
from when investing.
They both use
electronic methods to
directly purchase stock
in a particular
company.
They both are
guaranteed profits in
the stock market.
They know that when
the company they have
a. NewBank started its first day of operations with $155 million in capital. A total of $92 million in checkable deposits is received. The bank makes a $28 million commercial loan and lends another $23 million in mortgage loans. If required reserves are 5.4%, what does the bank balance sheet look like?
b. Suppose NewBank decides to invest $273 million in 30-day T-bills. The T-bills are currently trading at $4,981 (including commissions) for a $4,940 face value instrument. How many T-bills do they purchase? What does the balance sheet look like?
The balance sheet attached shows the Total Assets to be $55.968M and Total Liabilities and Capital to be $252M respectively.
Understanding Balance Sheet1. Assets:
a. Cash in Reserves:
The required reserves are 5.4% of checkable deposits.
Therefore, the required reserves amount to 5.4% of $92 million, which is:
(0.054 * $92 million) = $4.968 million.
This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.
b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:
total loan = $28 million + $23 million
= $51 million.
2. Liabilities:
a. Checkable Deposits:
The bank received $92 million in checkable deposits.
b. Required Reserves:
As mentioned above, the required reserves amount to $4.968 million.
3. Capital:
The bank started with $155 million in capital.
Based on the above information, the bank's balance sheet would look as attached.
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Find the real zeros of the polynomial function
f
(
x
)
=
x
8
+
6
x
7
+
7
x
6
.
Answer:
Step-by-step explanation:
f(x) = x^8 + 6x^7 + 7x^6
= x^6 ( x^2 + 6x + 7)
= x^6 (x = [tex]\frac{-6 +- \sqrt{36 - 28} }{2}[/tex] )
= x^6 (x = -3 +- [tex]\sqrt{2}[/tex] ) = 0
= x = 0 or x = -3 +- [tex]\sqrt{2}[/tex]
NEED HELP ON QUESTION ASAP! !
If answer is correct I'll rate you five stars a thanks and maybe even brainliest!
Please can you explain what this paragraph is trying to say. Also what does it mean in the sentence 'the difference in charge across the battery provides push for current' and what is the difference in charge.
Here's paragraph I need to have a simple definition of:
A high waterfall is also like a large voltage. It will transfer a lot of energy to the water (charge), making the river flow very fast (a large current) the difference in height makes the river flow. In a circuit , the difference in charge across battery provides push for the current.
The meaning of the phrase in the sentence, 'the difference in charge across the battery provides push for current' is that the electromotive force is needed to ensure that charges flow through the circuit and drive the device.
The difference in charge is the electric potential difference.
What is the meaning of the difference in charge?The diference in charge simply refers to the electric potential difference and the EPD is found with the formula: V = IR,
where V is the potential difference.
I = Current, and
R = Resistance
In reference to the sentence above, we can compare the potential diference to the large current that makes the river flow very fast. THe charge is also important as it contains the energy that will make the system function.
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2. If a rectangle has a
length of x³ and a width of x. What
Is the area?
Answer:
[tex]x^{4}[/tex]
Step-by-step explanation:
Area of rectangle = L x W
Length = x³
Width = x
What is the area?
We Take
x³ · x = [tex]x^{4}[/tex]
So, the area of the rectangle is [tex]x^{4}[/tex]
Answer:
Area=x⁴
Step-by-step explanation:
length(l)=x³
Width(b)=x
Area of rectangle=l×b=x³× x=x⁴
1. A weather balloon that contains 540 m' of helium springs a leak and empties in 60 seconds. Suppose that the volume of helium in the balloon as a function of time is given by V(t)=540 (1-t÷60)^3 (a) the average rate of change of volume during the 60 seconds it takes to empty. (b) the volume of the balloon after 40 seconds. (c) the instantaneous rate of change of the volume at 40 seconds.
Answer:
(a) Average rate of change of volume during the 60 seconds it takes to empty: -9 m^3/s
(b) Volume of the balloon after 40 seconds: 270 m^3
(c) Instantaneous rate of change of volume at 40 seconds: -67.5 m^3/s
Step-by-step explanation:
(a) The average rate of change of volume during the 60 seconds it takes to empty can be calculated by finding the change in volume over the change in time:
Average rate of change = (V(60) - V(0)) / (60 - 0)
where V(60) is the volume of the balloon at 60 seconds and V(0) is the volume at 0 seconds. Substituting these values into the equation V(t) = 540(1 - t/60)^3, we get:
V(60) = 0
V(0) = 540
So, the average rate of change of volume is:
Average rate of change = (0 - 540) / (60 - 0) = -9 m^3/s
(b) The volume of the balloon after 40 seconds can be found by substituting t = 40 into the equation V(t) = 540(1 - t/60)^3:
V(40) = 540(1 - 40/60)^3 = 270 m^3
Therefore, the volume of the balloon after 40 seconds is 270 m^3.
(c) The instantaneous rate of change of volume at 40 seconds can be found by taking the derivative of the volume function with respect to time:
dV/dt = -540(3/60)(1 - t/60)^2
Substituting t = 40 into this equation, we get:
dV/dt | t=40 = -540(3/60)(1 - 40/60)^2 = -67.5 m^3/s
Therefore, the instantaneous rate of change of volume at 40 seconds is -67.5 m^3/s.
1. Find the value of x. The diagram is not to scale.
a. 32
b. 50
c. 64
d. 80
Applying the similarity theorem, the value of x in the diagram that shows the triangles is calculated as: c. 64
How to Find the Value of x Using Similarity Theorem?According to the Similarity theorem, if two triangles are similar, their pairs of side lengths will have length measures that are proportional to each.
The image shows two similar triangles, therefore, the following equation would be true:
x/32 = (40 + 40) / 40
x/32 = 80/40
x / 32 = 2
Multiply both sides by 32:
x / 32 * 32 = 2 * 32 [multiplication property of equality]
x = 64
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What is the total surface area of this square pyramid?
___cm sq
Answer:
175 cm²--------------------
Total surface area is the sum of areas of a square and four triangles.
S = 7² + 4(1/2)(7*9)S = 49 + 126S = 175The total surface area of the square pyramid with a base side length of 7cm and slant height of 9 cm is 175 cm².
How to determine the total surface area of a square pyramid?A sqaure pyramid is a three-dimentional object with a sqaure shaped base and triangular shaped faces that correspond to each side of the base.
The total surface area of sqaure pyramid can be expressed as;
SA = a² + ( 2 × a × l )
Where a is the side base length and l is the slant height of the pyramid.
From the image:
Side base length a = 7 cm
Slant height l = 9 cm
Surface area SA = ?
Plug these values into the above formula:
SA = a² + ( 2 × a × l )
SA = 7² + ( 2 × 7 × 9 )
SA = 49 + ( 126 )
SA = 175 cm²
Therefore, the total surface area is 175 cm².
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How are the equations you wrote for the blueberry purchases like the equations you wrote for Mary and Alex's summer earnings?
Both sets of equations can be used to solve problems and make predictions based on the given information.
The equations for blueberry purchases and Mary and Alex's summer earnings are both algebraic equations that represent a relationship between two variables.
In the case of blueberry purchases, the variables are the number of pounds purchased and the cost per pound. In the case of Mary and Alex's summer earnings, the variables are the number of hours worked and the hourly rate of pay.
Both sets of equations can be used to solve problems and make predictions based on the given information.
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Demand for a tie-dyed shirt is given by the formula
p = 5 + 100 / √q
where p is the price in dollars you can charge to sell q shirts per month. If you currently sell shirts for $10 each and you raise the price by $1 each month, how fast will the demand drop?
The demand will drop by 741 T-shirts per dollar increase in price.
How fast will the demand drop?We will use derivative of p formula with respect to q to find how fast the demand will drop [tex]dp/dq = -50/\sqrt{q^3}[/tex]
At the initial price of $10, the corresponding demand is:
p = 5 + 100/√q = 10
Solving for q, we get:
q = 10000/9
Now, we will find rate of change of demand as the price increases by differentiating the demand formula with respect to p:
[tex]\frac{dq}{dp} = -1/\frac{dp}{dq}[/tex]
At p = 10, we have:
dq/dp = -1/(-50/√(10000/9)^3)
dq/dp = -1/(-0.00135)
dq/dp = 740.740740741
dq/dp = 741.
Full question:
Demand for your tie-dyed T-shirts is given by the formula p = 5+ 100/ √ q where p is the price in dollars you can charge to sell q T-shirts per month. If you currently sell T-shirts for $10 each and you raise price by $1 each month, how fast will the demand drop?
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22.82 as a mixed number
Hi :)
Answer:
22 41/50
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 100.
Reduce the fraction.
Hope this helps :) !!!
