Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?

A)1 1/6
B)2 3/8
c)3 5/6
D)4 3/4

Answers

Answer 1
Solve this problem using an equation of ratios.

3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts

Write the ratio

3 1/6 yards to 1 1/3 shirts:

19
---
 6 
---------------
4
---
 3

We need to reduce this.  The first (upper) ratio is 19/6; the second (lower() ratio is 4/3.  We can mult. numerator and denom. of 4/3 both by 2 to obtain the equivalent ratio 8/6.

Then we have the ratio

19/6
--------  which can be reduced to 19/8.  That's  (19/8) yard/shirt.  We can use
8/6       this as a conversion factor.

To make 2 shirts, Mary will need  (19/8 yards per shirt)(2 shirts) of material, or 38/8 yards, or 19/4 yards (answer).

Related Questions

Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. How much will someone earning $45,000 a year pay towards social security out of their gross wages?

Answers

Answer:

The answer is $1890.

Step-by-step explanation:

Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax)

While employers paid another 6.2%.

So, someone earning $45000, will pay [tex]0.042\times45000=1890[/tex] dollars in FICA.

The question says only individual. The earnings are exclusive to employees, so they will only pay from earnings. The employer will not pay from employee's earnings.

The answer is $1890.

The number of earnings towards social security should be $1,890.

Given that,

The employers in 2012 paid 4.2%.The employer should paid 6.2%.And, the earning should be $45,000.

Based on the above information, the calculation is as follows:

[tex]= 4.2\% \times \$45,000[/tex]

= $1,890

Therefore we can conclude that the number of earnings towards social security should be $1,890.

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A model is made of a car. The car is 10 feet long and the model is 7 inches long. What is the ratio of the length of the car to the length of the model? A. 10 : 7 B. 7 : 120 C. 120 : 7 D. 7 : 10

Answers

1 foot is 12 inches,


The real length of the car which is 10 feet, that equals to 10*12in=120 in, is represented by 7 inches in the model.

Thus 120 inches in reality, are represented by 7 inches in the model.


We describe this ratio by 7:120  (the value in reality comes second).


Answer :         B  7:120

Final answer:

To find the ratio of the car's length to the model's length, first convert the car's length to inches (120 inches), then compare it to the model's length (7 inches), which gives a ratio of 120 : 7.

Explanation:

The question asks for the ratio of the length of the car to the length of the model. First, it's essential to convert both measurements to the same unit for an accurate comparison. The car is 10 feet long, and since 1 foot equals 12 inches, the car's length in inches is 10 feet × 12 inches/foot = 120 inches. The model is 7 inches long. Therefore, the ratio of the length of the car to the length of the model is 120 inches to 7 inches, which simplifies to 120 : 7.

Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.

Answers

It will affect her paycheck by it going up and she gets more money

she gets 145 every week, but paid every other week

 so 145 *2 = 290

 her pay check will increase by $290

A line has slope 2/3 and y–intercept −2.

Which answer is the equation of the line?

(picture is my choices)

Answers

The general form of a straight line equation is given by

y = mx + c

Where 'm' is the gradient and 'c' is the y-intercept

We have:
m = ²/₃
c = -2

Plug in the value of 'm' and 'c', we have:

y = ²/₃x - 2

Answer: Second option


The generic form of straight line consisting of slope and y intercept  is given by

y = mx + c

Where 'm' is the slope of the straight line  and 'c' is the y-intercept

In the problem, it is given that slope of the line is 2/3 and y intercept is -2 :

m = ²/₃

c = -2

By putting these values in the equation above, we get:

y = ²/₃x - 2

Hence, the second option is correct.  

Hope it helps ..!!

Thank you :)


What does x equal in 3(x+3)-2<25

Answers

3x+9-2<20

3x+7-25<25-25

3x-18=0

x=18/3

x=6

5/6q−1/3q=2/5 Solve for q

Answers

5/6q − 1/3q = 2/5
first change 1/3 so it has the denominator as 5/6; 1/3 = 2/6

5/6q - 2/6q = 2/5
combine like terms

1/2q = 2/5
multiply both sides by 2 to isolate the variable, q.

q = 4/5 
Refine them first =25-10 =12q then switch side, then divided both side by 12 then simplify, the answer will be q=5/4

The linear function c = 2 y + 29 models the average cost of a haircut in a certain city, where c, is the average price of a haircut y years after 1995. find the slope for the model. then describe what this means in terms of the rate of change in the average cost of a haircut over time

Answers

The rate of change implies that the city's haircut prices are consistently going up over time.

The given linear function is c=2y+29, where c represents the average cost of a haircut y years after 1995.

The slope of the linear function, 2, reflects the rate of change in the average cost of a haircut over time.

This means that for each year after 1995, the average cost of a haircut increases by $2. In other words, the slope indicates that the cost of haircuts is rising at a constant rate of $2 per year. This steady increase implies that the city's haircut prices are consistently going up over time.

The positive slope signifies that the average cost is consistently moving upward as the year progresses. Customers can expect to pay, on average, $2 more for a haircut each year compared to the previous year.

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Final answer:

The slope of the linear function c = 2y + 29 is 2, indicating that the average cost of a haircut increases by 2 units for every 1 increase in the number of years after 1995.

Explanation:

The slope of a linear function represents the rate of change. In the given linear function c = 2y + 29, the slope is the coefficient of y, which is 2. This means that for every 1 increase in y (number of years after 1995), the average cost of a haircut will increase by 2 units.

The ladybugs are planting a garden. They have 25-cm-by-10 cm rectangle for flowers. Each flower needs exactly 1 square centimeter for space. How many flowers can they plant?

Answers

Sent a picture of the solution to the problem (s).

Answer: They can plant 250 flowers.

Step-by-step explanation:

Given : The dimension of the rectangular garden = 25-cm-by-10 cm

[i.e. length by width]

Area of rectangle = length x width

⇒ Area of rectangular garden = 25 x 10 = 250 square centimeter .

Area required by each flower =  1 square centimeter

Then, the number of flowers they can plant = [tex]\dfrac{\text{Area of garden}}{\text{Area of needed by each flower}}[/tex]

[tex]=\dfrac{250}{1}=250[/tex]

Hence, they can plant 250 flowers.

If the sample size is multiplied by 4, what happens to the standard deviation of the distribution of sample means?

Answers

Increasing the sample size by a factor of 4 or multiplying it by 4 is equal to increasing the standard error by 1/2.  Therefore, the interval will be half as varied.  This also works almost for population averages as lengthy as the multiplier from the t-curve doesn't modify much when increasing the sample size.

A container holds 5 gallons of juice. How much is this in pints?

Answers

5 gallons is 40 pints.

Hope this helps!

You have 5 pieces of wood. What is the total length of the wood? 73cm, 1.6m, 2.87m, 325cm and 4.04m

Answers

first, you need to make sure that they're in the same measurement ration

1 m = 100 cm

so, now you have

73 cm + 160 cm + 287 cm + 325 cm + 404 cm

The total length would of all the wood would be be 1249 centimeters  or 12.49 meter 

The measures of a sphere with a volume of 972pi in^3 are multiplied by 1/3.
What is the volume of the sphere?

A) 324pi in^3
B) 108pi in^3
C) 54pi in^3
D 36pi in^3

Answers

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \boxed{r=\frac{1}{3}r}\qquad V=\cfrac{4\pi }{3}\left( \cfrac{r}{3} \right)^3\implies V=\cfrac{4\pi }{3}\cdot \cfrac{r^3}{3^3} \\\\\\ V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{3^3}\implies V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{27}\impliedby \frac{1}{27}\textit{ of the original volume} \\\\\\ \textit{what is }\frac{1}{27}\textit{ of }972\pi ?\qquad \qquad 972\pi \cdot \cfrac{1}{27}\implies 36\pi [/tex]

The population of Bigville increased from 387,480 to 571,533 in the last 7 years. During the same time period, Smallville increased its population by 53.67%. Which town is growing at the greatest rate and by what factor? (round to nearest hundredth) A) Bigville by a factor of 1.13 B) Bigville by a factor of 6.17 C) Smallville by a factor of 1.13 D) Smallville by a factor of 6.17

Answers

C:) Smallville by a factor of 1.13 

Answer:

C!!

Smallville by a factor of 1.13

Bigville --

571,533 - 387,480

387,480

= 47.5%

Smallville -- 53.67

Thus,

53.67

47.5

= 1.129

What is the solution of the system of equations shown in the graph ?


a. (0, 2) c. (0, 4)
b. (2, 0) d. (0, -1)

Answers

the solution is the point where the lines intersect...and that is (2,0)

The solution of graphed equations is the point of intersection of the equations.

The ordered pair that represent the solution is [tex]\mathbf{(b)\ (2, 0)}[/tex]

From the graph, we have the following highlights.

The x-coordinate of the point of intersection is at x = 2The y-coordinate of the point of intersection is at y =0

So, the coordinates are 2 and 0

Hence, the ordered pair that represents the solution is [tex]\mathbf{(b)\ (2, 0)}[/tex]

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How to determine the function is even odd or neither

f(x)=5-3x

Answers

if the function is mirrored about the y axis, it is even

 use -x in place of x and compare the equations

lets use 2 for x

 so given formula would be 5-3(2) = 5-6 = -1

replace x with -x you would have 5-3(-2) =5-(-6) = 5+6 =11

since -1 does not = 11 the function is neither


even =f(x), odd = -f(x), neither f(x) doesn't equal -f(x)


example of odd:

f(x) = x^5 +x, replace x with -x

f(-x) = (-x)^5 +-x

=-x^5-x

=-(x^5+x)

=-f(x)

ODD


Example of even:

f(x) = 1-x^4

f(-x) = 1-(-x)^4

=1-x^4

=f(x)

EVEN


Example of Neither:

f(x) = 2x-x^2

f(-x) = 2(-x)-(-x)^2

=-(2x+x^2)

does not equal f(x)

NEITHER

 

List five staple convenience goods that you or your household buys on a regular basis. (you do not need to use complete sentences. 2.5 points)

Answers

Food
Shampoo
Conditioner
Body Soap
Hand Soap

The five staple convenience goods are:

Food items,

Petrol,

Detergents,

Drinking water, and

Fruits.

Staple convenience goods are those items that are purchased by consumers on a regular basis because they are constantly used by them.

These items are readily available nearby a domestic environment because they are always on a high demand by consumers.

These goods listed above are called staple convenience goods because they share some common features which include:

These goods can be bought in small quantity especially when needed.These goods doesn't require a purchase plan before they are bought.They are bought frequently and regularly.

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A dog weighs 2 pounds more than a cat. 3 cats and 4 dogs together weigh 43 pounds. How much does a dog weigh? How much does a cat weigh?

Answers

the answer is 5......



A bridge club had 22 members with a mean age of 68. Then two new members joined. One was 62 years old, and the other was 80 years old. How did the mean age change after they joined?













Answers

the mean went up 2 years
the answer is 36 2/3

-11-X=-18 What is X? hel-pppppp

Answers

-11 - x = -18

-11 (+11) - x = -18 (+11)

-x = -7

-x/-1 = -7/-1

x = 7

hope this helps
Add 11 to both sides....
-x=-7

Multiply both sides by -1
X=7

The probability that the factory manufactures a defective light bulb is 0.02. find the probability that the plant manufactures 100 non defective light bulbs before it manufactures 10 defective ones

Answers

2 is the answer there u go have a good day

When an opinion poll calls landline telephone numbers at random, approximately 30% of the numbers are working residential phone numbers. the remainder are either non-residential, non-working, or computer/fax numbers. you watch the random dialing machine make calls. x is the number of calls until the first working residential number is reached. does x have a binomial distribution? give your reasons?

Answers

A Binomial Distribution is a probability distribution where there exist two mutually exclusive outcomes, the probability of each outcome is constant, and the trials are independent. In this case the phone numbers are either working residential or not - two distinct choices. The probability is given as a fixed 30%. Lastly the success of each call has no bearing on the next call thus each dial is independent.

A cyclist rides his bike at a rate of 18 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours In your computations, assume that 1 mile is equal to 1.6 kilometers. do not round your answers

Answers

18 miles = ?

We know that 1 mile is equal to 1.6 kilometers. 
Multiply 18 by 1.6 which is 28.8 kilometers. 

18 miles/hour = 28.8 kilometers/hour

If you go 28.8 kilometers in one hour, how many km do you go in 5 hours. 
Multiply 28.8 by 5 = 144 

In 5 hours you go 144 kilometers. 

Ask if you need more help! 

Write 100 more than 234641

Answers

234741



whaaaaaaaaaaaaaaaat

A mixture of 17 %disinfectant solution is to be made from 10% and 20% disinfectant solution. How much of each solution should be used if 20 gallons of the 17% solution are needed?

Answers

Since 20 total gallons are needed, the amount of 10% solutions can be x and the amount of 20% solutions can be (20-x) since they add up to 20. In addition, the 17% solution has 20 gallons. Putting this into an equation, we get that 10% is 0.1 (by moving the decimal 2 spots to the left) , 0.2=20%, and 0.17=17%. With that information, we can determine that 10%*x+20%*(20-x)=20*0.17 due to that with 20 gallons of the 27% solution, we need a certain amount of solution. For every gallon, we add 0.17 of the solution, so we have 20*0.17. Similarly, we want that total amount to be represented by the amount of 20% + the amount of 10%.

0.1x+0.2(20-x)=0.1x+4-0.2x=-0.1x+4 using the distributive property
-0.1x+4=20*0.17=3.4. Subtract 4 from both sides to get -0.1x=-0.6, and multiply both sides by -10 (to separate x) to get x=6. Therefore, the amount of 10% solution is 6 gallons and the amount of 20% solution is 20-5=14 gallons

The author purchased a slot machine configured so that there is a 1/2000 probability of winning the jackpot on any individual trial. Although no one would seriously consider tricking the author, suppose that a guest claims that she played the slot machine 5 times and hit the jackpot twice. Find the probability of at least 2 jackpots in 5 trials. Find the probability of exactly 2 jackpots in 5 trials

Answers

Finding the Probability of exactly 2 Jackpots in 5 Trials:
We are given that the probability of winning a jackpot on any individual trial is 1/2000. However, this is just for one trial. To get the probability, we need to transform the question into numbers. We can use this "formula" to do this:
TImes Winning Jackpot/ Number of Trials
If we use this formula, we can create a fraction of 2/5. Now, all that is left is to multiply 2/5 by 1/2000 to get 2/10000, which can be simplified to 1/5000. This means that the guest had a 1 in 5000 chance of winning 2 jackpots out of 5 trials. 

Finding The Probability of at least 2 jackpots in 5 trials
The answer to this problem is basically the same as before, but the answer should be phrased differently. Your new answer would be that the guest had less than 1 in 5000 chance of winning 2 jackpots in 5 trials.

What is the sign of the product (8)(−23)(−21)(−29)? (5 points)

Positive, because the products (8)(−23) and (−21)(−29) are negative, and the product of two negative numbers is positive
Positive, because the products (8)(−23) and (−21)(−29) are positive, and the product of two positive numbers is positive
Negative, because the product (8)(−23) is positive and the product (−21)(−29) is negative, and the product of a positive number and a negative number is negative
Negative, because the product (8)(−23) is negative and the product (−21)( −29) is positive, and the product of a negative number and a positive number is a negative number

Answers

The last one.
8*-23=-184
-21*-29=609
-184*609=-112,056
HEY BUDDYYY 
its da last one !!!


8*-23=-184
-21*-29=609
-184*609=-112,056





Write each percentage as a mixed number and write in simplest form

Answers

Answer:

[tex]\large\boxed{551.5\%=5\dfrac{103}{200}}[/tex]

[tex]\large\boxed{0.5\%=\dfrac{1}{200}}[/tex]

[tex]\large\boxed{350\%=3\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]p\%=\dfrac{p}{100}\\\\27)\ 551.5\%=\dfrac{551.5}{100}=\dfrac{551.5\cdot10}{100\cdot10}=\dfrac{5515}{1000}=\dfrac{5515:5}{1000:5}=\dfrac{1103}{200}=5\dfrac{103}{200}\\\\29)\ 0.5\%=\dfrac{0.5}{100}=\dfrac{0.5\cdot10}{100\cdot10}=\dfrac{5}{1000}=\dfrac{5:5}{1000:5}=\dfrac{1}{200}\\\\31)\ 350\%=\dfrac{350}{100}=\dfrac{35}{10}=\dfrac{35:5}{10:5}=\dfrac{7}{2}=3\dfrac{1}{2}[/tex]


The graph above can be extrapolated to determine:

Boyle's Law
PV = k
absolute zero
VT = k
nothing

Answers

We can see that

when it is extrapolated

The curve is going downward

and it is till it touches temperature axis

so, we can find point there

It intersects at temperature =-280C

Since, it is x-intercept

so, y will be 0 at that point

so, Volume will be 0 when temperature is -280C

and this is absolute zero definition of volume function

so, Absolute zero.........Answer

if you deposit $4000 into an account paying 9% annual interest compounded monthly, how long until there is $10000 in the account?

Answers

[tex]\bf \textit{Logarithm of exponentials}\\\\ log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x) \\\\ -------------------------------[/tex]

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$10000\\ P=\textit{original amount deposited}\to &\$4000\\ r=rate\to 9\%\to \frac{9}{100}\to &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\to &12\\ t=years\end{cases}[/tex]

[tex]\bf 10000=4000\left(1+\frac{0.09}{12}\right)^{12t}\implies \cfrac{10000}{4000}=\left(1+\frac{0.09}{12}\right)^{12t} \\\\\\ \cfrac{5}{2}=\left(1+\frac{0.09}{12}\right)^{12t}\impliedby \textit{now we take \underline{log} to both sides} \\\\\\ log\left( \frac{5}{2} \right)=log\left[ \left(1.0075\right)^{12t} \right]\implies log\left( \frac{5}{2} \right)=12t\cdot log[1.0075] \\\\\\ \cfrac{log\left( \frac{5}{2} \right)}{12\cdot log(1.0075)}=t[/tex]

recall that a log with no base, implies base 10.  But anyway, which is about 10.2  or 10 years 2 months and half.
Final answer:

To determine how long it will take for $4000 to grow to $10000 with an interest rate of 9% compounded monthly, we can use the formula for compound interest and solve for t. The time t is approximately 7.17 years.

Explanation:

To find out how long it will take for $4000 to grow to $10000 at an interest rate of 9% compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = total amount after time t
P = principal amount (initial deposit)
r = annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = number of years

By plugging in the given values, we can solve for t:

$10000 = $4000(1 + 0.09/12)^(12t)

Dividing both sides by $4000, we get:

2.5 = (1 + 0.0075)^(12t)

Taking the natural logarithm of both sides, we have:

ln(2.5) = ln(1.0075)^(12t)

Using logarithmic properties, we can isolate t:

12t = ln(2.5) / ln(1.0075)

t = ln(2.5) / (12 * ln(1.0075))

Calculating the value of t, we find that it will take approximately 7.17 years for the account to reach $10000.

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a state park charges a $6 entry fee plus $7.50 per night of camping write an algebraic expression for the cost in dollars of entering the park and camping for n nights

Answers

C=cost
N=nights
C=$7.50n + $6
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