Mathematics College

The area of a rectangular patio is 5 and 5/8 square yards, and its length is 1 and 1/2 yards. What is the patio's width in yards?

Answers

Answer 1
area = length * width

width = area/length

area = 5 5/8 sq yd = 5.625 sq yd
length = 1 1/2 yd = 1.5 yd

width = area/length = (5.625 sq yd)/(1.5 yd) = 3.75 yd

width = 3.75 yd = 3 3/4 yd
Answer 2
Hello!

We can use the equation to find the area of a rectangle

The equation is l * w = A

l is length
w is width
A is area

Put in the values you know
1 1/2 * w = 5 5/8

Divide both sides by 1 1/2

w = 3 3/4

The answer is 3 3/4 yards

Hope this helps!

Related Questions

HURRY PLEASE ITS TIMED
In the year 2000, Franklintown had a population of 30,000 people. Its population had decreased by 3% each year since then. Part A: Can this situation be modeled by an exponential decay function, an exponential growth function, or neither? Explain. Part B: If the population continues to decrease at the same rate, what would you expect the approximate population to be in 2016? Show your work.

Answers

Part A:
 For this case we have a function of the form:
 y = A * (b) ^ t
 Where,
 A: initial amount
 b: decrease rate
 t: time
 Substituting values we have:
 y = 30000 * (0.97) ^ t
 Answer:
 this situation can be modeled by an exponential decay function.

 Part B:

 We have the following function:
 y = 30000 * (0.97) ^ t
 For the year 2016 we have to:
 t = 16
 Substituting values:
 y = 30000 * (0.97) ^ 16
 y = 18427.6096
 Rounding:
 y = 18428
 Answer:
 The approximate population for 2016 is:
 y = 18428

the width of a rectangle is shown below:

Answers

The difference between the y-coordinates is 7 units. If the area is to be 42 square units, the missing coordinates must be 42/7 = 6 units to the right of those shown.
B = A +(6, 0) = (-4, 4) +(6, 0) = (-2, 4)

D = C +(6, 0) = (-4, -3) +(6, 0) = (-2, -3)

The appropriate choice is the last one, ...
  (-2, 4) and (-2, -3)

hello can you please help me posted picture of question

Answers

B. Seven as your answer
:)
For this question we need to make a Venn Diagram as shown below.

Start from the inner most circle.

5 patrons like all 3 drinks. 
8 patrons like Latte and Espresso. From these 8, 5 like all 3 drinks, so the patrons which only like Latte and Espresso will be 3.

Fill all the regions this way and you will get a diagram similar to the one given below. 

Count all the numbers inside the circles. These add up to 47. This means 47 patrons like the drinks.

Total number of patrons was 50. So there are 7 such patrons which do not like any of these drinks.

So, the correct answer is option B


what is the domain and range of
y=-2(x-3)(x+4)

Answers

The domain of any polynomial is "all real numbers."

The vertex of this function is (-0.5, 24.5), so the range of y=-2(x-3)(x+4) is
  -∞ < y ≤ 24.5

As viewed from above, a swimming pool has the shape of the ellipse x24900+y22500=1, where x and y are measured in feet. the cross sections perpendicular to the x-axis are squares. find the total volume of the pool. v = cubic feet

Answers

4900>2500, the major axis of the ellipse is along x-axis
a=sqrt(4900)=70
b=sqrt2500=50

The squares are parallel to the y-axis, thus their sides extend in the y-axis direction, hence the length of the sides are:
y=+/-50sqrt(1-x^2/4900))
The area of the square 
=y^2=[2500-2500(x^2/4900)

Thus, the volume will be sum along the x-axis from one of the ends of the ellipse to the other. by definition, the limits are (-a to a)=(-70 to 70)
But since the ellipse is symmetrical we can go from (0 to 70) and double the integral.
thus
V=2*int(0 to 70)[2500-2500(x^2/4900)]dx
=int(0 to 70)[5000-(50/49)x^2]dx
=[5000x-50/147x^3] (0 to 70)
=233,333 1/3 ft^3

Marko is buying carpet for his bedroom floor. His room measures 13 feet by 12 feet. How many square feet of carpet will Marko need to cover the floor in his room?

Answers

I think the answer is 156, I got this by multiplying 12 times 13.

Answer: 156 square feet of carpet would be needed to cover the floor in his room.

Step-by-step explanation:

Since we have given that

Dimensions of his room as follows :

Length of his room = 13 feet

Width of his room = 12 feet

We need to find the square feet of carpet which is used to cover the floor of his room.

so, we just need to find the area of his room.

Area of rectangle = Length × Breadth

So, Area of his room becomes

[tex]13\times 12\\\\=156\ sq.\ feet[/tex]

Hence, 156 square feet of carpet would be needed to cover the floor in his room.

Find the length and width of a rectangle that has the given area and a minimum perimeter. area: a square centimeters

Answers

There isn't enough information to answer this, what is the given area or perimeter?

hey can you please help me posted picture of question

Answers

Remember that a parent function is the simplest form of a family of functions. Since you have the graph of a parabola, the parent function will be [tex]y= x^{2} [/tex]. To be more specific the parent function is the quadratic function [tex]y= x^{2} +0x+0[/tex].

We can conclude that the correct answer is B. Quadratic parent function.

if you flip a coin four times what is the probability of flipping tails four times

Answers

There are 16 possible outcomes.
Out of all 16 outcomes, there is only one way to get the result T T T T.
Therefore, the probability is 1/16 or 0.0625




Factor completely 56a2b3 − 35ab.
7ab(8ab2 − 5)
7a(8b2 − 5ab)
Prime
7a(8ab3 − 5b)

Answers

A. 

Both numbers have a factor of 7ab. Pull that out by dividing. 

Answer:

7 ab ( 8 ab² - 5 ) .

Step-by-step explanation:

Given  : 56 a²b³ − 35 ab.

To find : Factor completely.

Solution : We have given 56 a²b³ − 35 ab.

Taking 7ab common form both terms .

7 ab ( 8 ab² - 5 ) .

Therefore, 7 ab ( 8 ab² - 5 ) .

Which summation formula represents the series below?

13 + 9 + 5 + 1

Answers

The sum of the series is 28.

The series 13 + 9 + 5 + 1 is an arithmetic series with a common difference of -4. To express this in summation (sigma) notation and find its sum, we first identify the first term (a1) as 13 and the common difference (d) as -4.

Next, we determine the number of terms (n). The series decreases by 4 each time, so we find the number of steps it takes to go from 13 to 1, which are 4 terms in total (13, 9, 5, 1).

We can write the summation formula for an arithmetic series as Sn = n/2 * (2a1 + (n-1)d), where Sn is the sum of the first n terms. With n = 4, a1 = 13, and d = -4, we plug these into the formula:

S4 = 4/2 * (2(13) + (4-1)(-4))

S4 = 2 * (26 - 12)

S4 = 2 * 14

S4 = 28

The sum of the series is 28.

12+5v=2v-9 please show step by step!

Answers

12 + 5v = 2v - 9
Subtract 12 from both sides.

5v = 2v - 21
Subtract 2v from both sides.

3v = -21
Divide both sides by 3.

v = -7

To get it, combine like terms and restrain the variable. Segregating both sides by 3 gives the solution to the equation as v = -7.

How to solve the expression

To solve the condition 12 + 5v = 2v - 9, take after these steps:

Step 1: Segregate the variable terms on one side of the condition and the steady terms on the other side.

Subtract 2v from both sides to move the variable term to the cleared outside:

12 + 5v - 2v = 2v - 9 - 2v

Alter both sides of the condition:

12 + 3v = -9

Step 2: Separate the variable term by moving the reliable term to the other side.

Subtract 12 from both sides to move the dependable term to the proper side:

12 + 3v - 12 = -9 - 12

Unwind both sides of the condition:

3v = -21

Step 3: Light up for v by confining both sides of the condition by the coefficient of v, which is 3.

Portion by 3 to clarify for v:

v = -21 / 3

Streamline the division:

v = -7

The solution to the equation is v = -7.

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if 12 1/2% of a sum of money is $40 what is the total sum of money?

Answers

12 1/2% = 12.5%

12.5% = $40

1% = 40 ÷ 12.5 = $3.20

100% = $3.20 x 100 = $320

Answer: $320

The total sum of money will be $320.

Let the total sum of money be represented by x.

Based on the information given, the equation to solve the question will be:

12 1/2% × x = 40

0.125x = 40

Divide by 0.125

x = 40/0.125.

x = 320

Therefore, the total sum of money will be $320.

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a player gets to throw 4 darts at the target shown. Assuming the player will always hit the target, the probability of hitting an odd number three times is *blank* times more than the probability of hitting an even number 3 times

Answers

Answer: The probability of hitting an odd number three times is [tex]3\dfrac{3}{8}[/tex] times more than the probability of hitting an even number 3 times.

Step-by-step explanation:

From the given picture , the total total number of sections in the spinner = 5

Sections having Odd numbers = 3

Sections having Even numbers =2

We know that , [tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

So , probability of hitting an odd number = [tex]\dfrac{3}{5}[/tex]

Probability of hitting an even number = [tex]\dfrac{2}{5}[/tex]

Since all events are independent of each other ,

So , probability of hitting an odd number three times = [tex](\dfrac{3}{5})^3=\dfrac{27}{125}[/tex]

Probability of hitting an even number three times = [tex](\dfrac{2}{5})^3=\dfrac{8}{125}[/tex]

Divide  [tex]\dfrac{27}{125}[/tex] by [tex]\dfrac{8}{125}[/tex] , we get

[tex]\dfrac{27}{125}\div\dfrac{8}{125}\\\\=\dfrac{27}{125}\times\dfrac{125}{8}=\dfrac{27}{8}=3\dfrac{3}{8}[/tex]

Hence, the probability of hitting an odd number three times is [tex]3\dfrac{3}{8}[/tex] times more than the probability of hitting an even number 3 times.

Answer:

3.375

Step-by-step explanation:

PLZ HELP ASAP CIRCLES

Answers

The center of the circle is at (-1, 1). The radius is determined by the distance from the center to the highlighted point (6, -4). The distance = sqrt[(6+1)^2 + (-4-1)^2] = sqrt[49 + 25] = sqrt(74)
Therefore, the equation of the circle is:
(x + 1)^2 + (y - 1)^2 = 74

You are traveling to Chicago for a job interview. You leave Toledo, Ohio, at 5:45 A.M. and arrive in Elkhart, Indiana, at 8:15 A.M.. The distance from Toledo to Elkhart is 136 miles; the distance from Toledo to Chicago is 244 miles. The speed limit is 65 mph. What is the minimum speed you must maintain in order to arrive in Chicago before 10:30 A.M.

Answers

To find the minimum speed need to reach Chicago based on this information, you will need to know how far it is from Elkhart to Toledo and how long it takes.

To get from Elkhart to Toledo is 108 miles. (244-136)

It will take 2.25 hours to get there. From 8:15 am to 10:30 am is 2 1/4 hours.

108 miles/2.25 hours = 48 miles per hour. You must travel at an average speed of 48 miles per hour.

each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate?

Answers

3 1/3 pizzas.

Turn 5 into a fraction. 5/1

Multiply the two fractions. 5/1 × 2/3 = 10/3

Simplify this to 3 1/3 pizzas.

Hope this helps!

We have that for the Question "each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate?" it can be said that each boy ate

Pt=3.333pizza

From the question we are told

each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate?

total amount of pizza the boys ate

Generally the equation for the total amount of pizza the boys ate  is mathematically given as

Pt=N*Ratio

Therefore

Pt=5*2/3

Pt=3.333pizza

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simplify leaving your answer with positive exponents.

Answers

[tex]\bf \left( \cfrac{5m^{\frac{4}{3}}}{n^{\frac{2}{3}}} \right)^{-\frac{2}{3}}\left(\cfrac{m^4}{8n^5} \right)^{-\frac{4}{3}}\implies \left( \cfrac{n^{\frac{2}{3}}}{5m^{\frac{4}{3}}} \right)^{\frac{2}{3}}\left(\cfrac{8n^5}{m^4} \right)^{\frac{4}{3}}\impliedby \begin{array}{llll} \textit{and now we}\\ \textit{distribute}\\ \textit{the exponent} \end{array}[/tex]

[tex]\bf \left( \cfrac{n^{\frac{2}{3}\cdot \frac{2}{3}}}{5^{\frac{2}{3}}m^{\frac{4}{3}\cdot \frac{2}{3}}} \right)\left( \cfrac{8^{\frac{4}{3}}n^{5\cdot \frac{4}{3}}}{m^{4\cdot \frac{4}{3}}} \right)\implies \cfrac{n^{\frac{4}{9}}}{5^{\frac{2}{3}}m^{\frac{8}{9}}}\cdot \cfrac{8^{\frac{4}{3}}n^{\frac{20}{3}}}{m^{\frac{16}{3}}}\implies \cfrac{8^{\frac{4}{3}}n^{\frac{4}{9}+\frac{20}{3}}}{5^{\frac{2}{3}}m^{\frac{8}{9}+\frac{16}{3}}}[/tex]

[tex]\bf \cfrac{8^{\frac{4}{3}}n^{\frac{4+60}{9}}}{5^{\frac{2}{3}}m^{\frac{8+48}{9}}}\implies \cfrac{8^{\frac{4}{3}}n^{\frac{64}{9}}}{5^{\frac{2}{3}}m^{\frac{56}{9}}}[/tex]

Marcus baked a loaf of banana bread for a party. He cut the loaf into equal size pieces. At the end of the party, there 6 pieces left. Explain how you can find the number of pieces in the whole loaf if Marcus told you that 1/3 of the loaf was left.

Answers

Marcus is left with 6 pieces and 1/3 of the loaf. so  by the problem if x is the whole loaf 1x/3 =6 x =18 . The total pieces of loaves  were 18

Find the midpoint of the segment with the given endpoints. P(–2, 1) and Q(–3, 2)

Answers

Answer:

  (-5/2, 3/2)

Step-by-step explanation:

The midpoint is the average of the coordinates of the endpoints:

  (P +Q)/2 = ((-2, 1) +(-3, 2))/2 = (-2-3, 1+2)/2 = (-5/2, 3/2)

Today a clothing store took 30% off the price of a dress, and for the next 3 days, it will take 30% off the previous day's price. If the price of the dress yesterday was $300.00, what will be the price of the dress 3 days from now?

Answers

To find the price three days from now you can calculate the price of the dress after applying the discount each day.

To find the new price, you can multiply by 0.7 (100%-30% = 70%/0.7).

300 x 0.7 = 210 (now)
1st day: 210 x 0.7 = $147
2nd day: $147 x 0.7 = $102.90
3rd day: 102.9 x 0.7 = $72.03

The price on the third day is $72.03.

Answer:72.03

Step-by-step explanation:

Each square is one square meter

Answers

36 square meters i believe

A triangle has interior angles measuring 40 and 52. Which triangle are similar to this triangle? select true or false for each triangle.

Answers

The first 2 are false, the second 2 are both true.  Because all the angles in a triangle have to add up to equal 180, then 40 + 52 + 88 = 180.  Therefore, the combinations of 52 and 88 and 40 and 88 fit correctly.  92 doesn't fit at all.  It's too big.
The three angles of a triangle need to equal 180 degrees.
 If you have a triangle with 40 and 52, then the third angle is 180 - 40 - 52 = 88 degrees.
 

Any triangle that has at least two of the three angles ( 40 , 52 and 88) will be similar

1. FALSE
2. FALSE
3. TRUE
4. TRUE

all I drink 3/4 of a 16 fluid ounce bottle of juice how many fluid ounces of juice are left in the bottle

Answers

4 fluid ounces. 16 * 1/4 is 4
STEP 1:
multiply 16 oz. by 3/4 to find how many ounces are 3/4 of the bottle

=16 * 3/4
=(16*3)/4
=48/4
=12 ounces


STEP 2:
subtract step 1 answer from the whole 16 oz. to find number of ounces left

=16 - 12
=4 ounces left


CHECK:
multiply the whole 16 oz. by the fraction that would be left (4/4 - 3/4= 1/4). There are several ways to check this problem; this is just one way.

=16 * 1/4
=(16*1)/4
=16/4
=4


ANSWER: 4 ounces would be left

Hope this helps! :)

Sam and Brett share £54 in the ratio of 5:4 how much does each person get

Answers

in short, we split 54 by (5+4) and give 5 pieces of that quotient to Sam and 4 pieces of it to Brett, 

[tex]\bf \cfrac{Sam}{Brett}\qquad 5:4\qquad \cfrac{5}{4}\qquad \qquad \cfrac{5\cdot \frac{54}{5+4}}{4\cdot \frac{54}{5+4}}\implies \cfrac{5\cdot 6}{4\cdot 6}\implies \cfrac{30}{24}[/tex]

hey can you please help me posted picture of question

Answers

The correct answer is the option B.To solve this problem you must apply the proccedure shown below:

 1. You have the following expression:

 (11-7i)-(16-11i)

 2. If you want to substract both terms, you  need to substract the real numbers and the complex numbers. Then, you obtain:

 11-7i-16+11i
 (11-16)+(-7+11)

 3. Then, you obtain the following result:

 -5+4i

 4. Therefore, as you can see, the correct answer is the second option (option B), which is:

 B. -5+4i
Correct answer is option B.

Solution is shown below:

To add or subtract two complex numbers, the real part is added or subtracted from real part and the complex part is added to or subtracted from complex part as shown below:

(11 - 7i) - (16 - 11i)

= 11 - 7i - 16 + 11i

= -5 + 4i

So, the answer to this question is option B

hey can you please help me posted picture of question

Answers

The inverse of 7x ix x/7

The composition of the function and its inverse must be zero. So the composition of 7x with x/7 is:

[tex](F( F^{-1}x)) \\ \\ =F( \frac{x}{7}) \\ \\ = 7(\frac{x}{7}) \\ \\ = x [/tex]

Thus, 7x and x/7 are inverse of each other.

So the answer to this question is option B

The equation of a circle is ​ (x−2)^2+(y−16)^2=169 ​ . What is the circle's radius?

Answers

Hello!

The equation for a circle is

[tex] (x-h)^{2} +(y-k)^{2} = r^{2} [/tex]

r is the radius

To find the radius we take the square root of the number in the radius spot

sqrt169 = 13

The answer is 13

Hope this helps!

One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of the crackers?

Answers

The amount of calories that are in 6 grams of crackers is 30 grams.

What is the amount of calories in the crackers?

Division is the mathematical operation that is used to determine the quotient of a number.  It is the process of grouping a number into equal parts using another number.

Calories in 6 grams = (150 / 30) x 6 = 30 grams

To learn more about division, please check: https://brainly.com/question/13281206

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Final answer:

To find the calories in 6 grams of Mike's crackers, divide the total calories by the total mass of one serving to get the unit rate (5 calories/gram) and then multiply by the mass in question (6 grams) to obtain 30 calories.

Explanation:

The question asks how many calories are in 6 grams of Mike's crackers, given that one serving of 30 grams has 150 calories. To find the calories in 6 grams of the crackers, we can use unit rate and proportions.

Step-by-Step Calculation

First, determine the calories per gram of the crackers by dividing the total calories by the total mass (in grams) of one serving. This gives us the unit rate: 150 calories / 30 grams = 5 calories per gram.

Next, since we're asked about the calories in 6 grams, we multiply the calories per gram (unit rate) by the mass: 5 calories/gram × 6 grams = 30 calories.

Therefore, there are 30 calories in 6 grams of Mike's crackers. This calculation illustrates the utility of understanding proportions and unit rates in everyday applications such as determining caloric intake from portions of food.

please help me with this if you can

Answers

The worst error will be where the prediction is farthest away from the actual value. Since the actual value corresponds to predictions in the 2nd column, the prediction at the far right (22.8) is the farthest away. The greatest error is ...
(22.8 -22.3)/22.3 * 100% ≈ 2.2%
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