please help!!!!!

6 wholes and 1/2—1 wholes and 1/3=​

Answers

Answer 1

The value of 6½ - 1⅓ is 5 ⅙

What are fractions?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

To solve 6½ - 1⅓ ;

we make the mixed fraction improper fraction

= 13/2 - 4/3

= (39-8)/6

= 31/6

= 5 1/6

therefore The value of 6½ - 1⅓ = 5 1/6

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Answer 2

Step-by-step explanation:

[tex]6 \frac{1}{2} - 1\frac{1}{3} = 5 \frac{1}{6} [/tex]


Related Questions

Una mujer de negocios desea invertir $30,000 en fondos diferentes que producen ganancias anuales del
13% y 15% respectivamente.
¿Cuánto debe invertir en cada fondo para obtener ganancias de $4,350 después de un año?

Answers

The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

We can use substitution or elimination method to solve when there are more than one equation.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's denote,

The amount invested in the 13% fund =  x

The amount invested in the 15% fund = y.

Now,

The total amount invested = $30,000,

i.e

x + y = 30000 _____(1)

The total return after one year = $4,350.

Which can be expressed as,

0.13x + 0.15y = 4350 _____(2)

Use the substitution method.

From (1),

x + y = 30000

y = 30000 - x _____(3)

Substituting y in (2)

0.13x + 0.15(30000 - x) = 4350

Solving for x.

0.13x + 4500 - 0.15x = 4350

-0.02x = -150

x = 7500

And,

y = 30000 - x

y = 30000 - 7500

y = 22500

Thus,

The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.

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The complete question.

A businesswoman wants to invest $30,000 in different funds that produce annual returns of 13% and 15% respectively. How much must she invest in each fund to earn a return of $4,350 after one year?

for one weekend each year before school begins, people can buy clothing without paying any sales tax. Nora is shopping for new outfits to wear to school. She also has a coupon that will take 5% off of each item she buys.

Part A: Write an equation for the amount of money (c) that Nora would spend, after the discount is applied, on a shirt that cost (d) dollars.

Part B: Nora can spend a total of $57 on clothes at this store. What is the total value of the clothes that Nora can buy at the store, in dollars, before the discount is taken?

Answers

Answer:

Part A:

The equation for the amount of money Nora would spend after the discount is applied on a shirt that costs d dollars is:

c = d - 0.05d

c = 0.95d

Part B:

Let x be the total value of the clothes Nora can buy before the discount is taken.

After the discount is applied, she can spend a total of $57, so we have:

0.95x = 57

x = 60

Therefore, Nora can buy a total of $60 worth of clothes before the discount is taken.

7. Mr. and Mrs. Quigley just moved into a new home with a lot of land. They need to plant grass seed The problem is that they are not sure how to figure the new amount that they need. At their old house they knew that the lawn was 10 ft by 20 ft. and needed 5 pounds of seed. Their new lawn is 100 # by 50 ft. How will knowing the amount of seed needed from their old house help them with Buying seed for the new lawn? How much will they need? Show all work​

Answers

Answer: Seed needed for the new lawn = 125 pounds

Step-by-step explanation:

Knowing the amount of seed needed for their old lawn will help Mr. and Mrs. Quigley calculate the amount of seed needed for their new lawn based on the size of the area.

First, let's calculate the area of the old lawn:

Area = length × width

Area = 10 ft × 20 ft

Area = 200 square feet

Next, we can determine the seed requirement per square foot for the old lawn:

Seed requirement per square foot = total seed needed ÷ area of the lawn

Seed requirement per square foot = 5 pounds ÷ 200 square feet

Seed requirement per square foot = 0.025 pounds per square foot

Now, let's calculate the area of the new lawn:

Area = length × width

Area = 100 ft × 50 ft

Area = 5000 square feet

To find the amount of seed needed for the new lawn, we can multiply the seed requirement per square foot by the area of the new lawn:

Seed needed for the new lawn = Seed requirement per square foot × area of the new lawn

Seed needed for the new lawn = 0.025 pounds per square foot × 5000 square feet

Therefore, Mr. and Mrs. Quigley will need 125 pounds of grass seed for their new lawn based on the calculations using the information from their old lawn.  

A new helium tank holds 14.9 ft3 of helium. 0.5 ft3 of helium is needed to fill a foil balloon. This function can be used to find the amount of helium left in the tank (h) after each balloon (b) is filled

Answers

The table is

Balloon        Helium in the tank

1                                14.4

2                                13.9

3                                13.4

4                                12.9

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.

Given function is h = 14.9 - 0.5b  .....(i)

Where b is the number of ballon.

Putting b = 1 in equation (i)

h(1) = 14.9 - 0.5×1

h(1) = 14.4

Putting b =2 in equation (i)

h(2) = 14.9 - 0.5×2

h(2) = 13.9

Putting b = 3 in equation (i)

h(3) = 14.9 - 0.5×3

h(3) = 13.4

Putting b = 4 in equation (i)

h(4) = 14.9 - 0.5×4

h(4) = 12.9

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Mmusi borrows an amount of money from Aggie. After two years, Mmusi pays back money, plus 18% simple interest per year. He has to pay back an amount of R4080 much money did he borrow from Aggie?​

Answers

The required, Mmusi borrowed R3000 from Aggie as per the given conditions.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.

Amount = Principal [1 + rate×time]

Let's call the amount Mmusi borrowed from Aggie "P".

After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P

So if he has to pay back R4080, we can set up an equation to solve for P:

1.36P = 4080

To find P, we can divide both sides by 1.36:

P = 4080 / 1.36 = 3000

So Mmusi borrowed R3000 from Aggie.

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An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 24 degrees. The shadow is determined to be 60 feet long. How tall is the building?

Answers

Answer:

36

Step-by-step explanation:

How do you find the inverse of a modulo?

Answers

You need to find a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This can be done using the extended Euclidean algorithm, and the resulting inverse is the residue of the coefficient modulo the modulus.

Finding the inverse of a modulo involves finding a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This process is important in modular arithmetic, where calculations are performed with remainders of a fixed integer modulus.

To find the inverse of a modulo, you can use the extended Euclidean algorithm, which is a method for finding the greatest common divisor of two integers.

The steps for finding the inverse of a modulo are as follows:

1. Identify the number you want to find the inverse of (let's call it "a") and the modulus (let's call it "m").

2. Use the extended Euclidean algorithm to find the greatest common divisor of "a" and "m", and the coefficients x and y such that ax + my = gcd(a,m).

3. If gcd(a,m) = 1, then "a" has an inverse modulo "m" and the inverse is given by x mod m.

4. If gcd(a,m) is not equal to 1, then "a" does not have an inverse modulo "m".

In step 3, x mod m represents the residue of x modulo m, which is the unique non-negative integer less than m that is congruent to x modulo m. In other words, it is the remainder when x is divided by m.

For example, to find the inverse of 5 modulo 7, we can use the extended Euclidean algorithm to find that 2(5) + (-1)(7) = 1. Therefore, the inverse of 5 modulo 7 is 2.

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Find the 8th term of the geometric sequence 10, -20, 40, ...

Answers

Answer:

-1280

Step-by-step explanation:

10×(-2)= -20

-20×(-2)= 40

4th term: 40×(-2)= -80

5th term: -80×(-2)= 160

6th term: 160×(-2)= -320

7th term: -320×(-2)= 640

8th term: 640×(-2)= -1280

In linear​ regression, one​ variable, called a​ __________ variable, is related to one or more​ ____________ variables by a linear equation.
A.​ dependent; response
B. ​independent; dependent
C.​ response; dependent
D. ​dependent; independent

Answers

In linear regression, one variable, called a dependent variable, is related to one or more independent variables by a linear equation.

What is the relation between a function and the dependent and independent variables?

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

In the case of multiple inputs, all the inputs are independent variables.

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please help worth 100 points
Two rival dry cleaners both advertise their prices. Store A's prices are modeled by the expression 25x-9 where x is the number of items brought in. Store B's prices are modeled by the expression 5(5x+8), where x is the number of items brought in. When do the two stores charge the same rate? Write the equation and show the work to justify your response.

Answers

Answer: never

Step-by-step explanation:

Store A's prices are represented by the expression 25x-9

Store B's prices are represented by the expression 5(5x+8)

To find when the 2 stores charge the same rate , we set the expression equal and solve for x

25x-9 = 5(5x+8)

25x -9 = 25x + 40

Subtract 25x on both sides

-9 = 40

We cannot solve for x

So , the price of two stores never be same

Two stores never charge the same rate

what is the value of 5(2 x -4) - 2y if x = -2 and y =6

Answers

Answer:

-52

Step-by-step explanation:

If x = -2 and y = 6, then we can substitute those values into the expression:

5(2 x - 4) - 2y = 5(2(-2) - 4) - 2(6)

= 5(-4 - 4) - 2(6)

= 5(-8) - 2(6)

= -40 - 12

= -52

So, the value of the expression 5(2 x - 4) - 2y when x = -2 and y = 6 is -52.

what is the value of 1000m in ft?

Answers

1000 meters is equal to 3280.84 feet. To convert from meters to feet, you must multiply the number of meters by 3.28084. This is due to the fact that a meter is slightly longer than a foot.

One meter is equivalent to 3.28084 feet. Therefore, to compute 1,000 meters in feet, you must multiply 1,000 meters by 3.28084. Doing this calculation yields a result of 3,280.84 feet. The meter is the primary unit of measurement for length in the International System of Units, or SI. The SI base unit for length is the meter, which is defined as the length of the path travelled by light in a vacuum in 1/299,792,458 seconds. In other words, the meter is the distance light travels in a vacuum in 1/299,792,458 of a second. The meter is also referred to as the "meter of the air," since it is the length of the path travelled by light in the air in the same time.The foot is a unit of length in the British Imperial and US customary systems of measurement, and is equivalent to 1/3 of a yard. One foot is equal to 0.3048 meters.

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Give three solutions to the equation
y
=
1
2
x
+
1
. Give your solutions as ordered pairs, using reduced fractions or integers for coordinates.

Answers

The three solutions to the equation are (0, 1), (1, 12) and (2, 25)

How to determine the three solutions to the equation

From the question, we have the following parameters that can be used in our computation:

y = 12x + 1

Next, we set x to 0, 1 and 2

Substitute the known values in the above equation, so, we have the following representation

y = 12 * 0 + 1

y = 1

y = 12 * 1 + 1

y = 13

y = 12 * 2 + 1

y = 25

As an ordered pair, we have

(0, 1), (1, 12) and (2, 25)

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Carmen is a contestant on the kids' game show, Spend or Switch! When she makes it up on
stage, host Guy Granger takes out a stack of one hundred-dollar bills. He divides the bills
evenly among all 5 contestants on stage. Each contestant receives 4 one hundred-dollar bills.
Which equation can you use to find the number of bills b in Guy Granger's stack?
b-5=4
5b= 4
bills
5
= 4
b + 5 = 4
olve this equation for b to find the number of bills in Guy Granger's stack.

Answers

The equation we need to use to find the number of bills in Guy Granger's stack is 5b = 4, where b is the number of bills.

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

This equation represents the fact that each of the 5 contestants received 4 one hundred-dollar bills, so the total number of bills is

= 4 x 5

= 20

To solve for b, we need to divide both sides of the equation by 5:

5b / 5 = 4 / 5

b = 4 / 5

So, the number of bills in Guy Granger's stack is 4 / 5 * 100 = 80.

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Find x. Round your answer to the nearest tenth of a degree

Answers

tan-1 (7 divided by 13) = 28.3° or 28°

4x(3+5)-10=4x3+5-10=??

Answers

Answer:

x = 17/32

Step-by-step explanation:

Firstly, you want to simplify by combining like terms:

4x(3+5)—10 = 4 · 3 + 5 – 10

32x—10 = 7

Add ten to both sides:

32x - 10 = 7

+10             +10

32x = 17

Divide both sides by 32:

32x = 17

/32      /32

32 divided by 32x makes x

so we get x = 17/32

(we dont divide 17/32 since we would get an irrational number (0.53125))

Find the measure of missing angle

Answers

D = 105°
They are vertical angles
Same thing goes for E

E = 32°

105° + 32° + f = 180°
137 + f = 180°
Subtract for both sides

F = 43°

Solve for x. Round to the nearest tenth.
Thank you!

Answers

The value of the hypotenuse x is 19.1

How to determine the value of the hypotenuse x

From the question, we have the following parameters that can be used in our computation:

Rise = 17

Angle = 63 degrees

The hypotenuse, x is then calculated using the following laws of sines

sin(63) = 17/x

Make x the subject

So, we have the following representation

x = 17/sin(63)

Evaluate the expression

This gives

x = 19.1

Hence, the value of x is 19.1

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ANSWER THE FOLLOWING

Answers

For a cardboard:

Area = (d) 8400 cm²Area in sqm = (b) 0.84 m(b) 3700 cm². (b) 4700 cm².(a) ₹11.75.

How to calculate area and cost of painting?

The area of the cardboard is:

Length = 1 m 5 cm = 105 cm

Breadth = 80 cm

Area = Length x Breadth = 105 cm x 80 cm = 8400 cm²

The area of the cardboard in square meters is:

1 m = 100 cm

Length = 1 m 5 cm = 105 cm = 1.05 m

Breadth = 80 cm = 0.8 m

Area = Length x Breadth = 1.05 m x 0.8 m = 0.84 m²

The area covered by the ribbons is the area of the cardboard that is not painted. From the previous calculations, we know that the area of the cardboard is 8400 cm² and the area that was painted is 4700 cm². Therefore, the area covered by the ribbons is:

Area covered by ribbons = Total area of the cardboard - Area that was painted

Area covered by ribbons = 8400 cm² - 4700 cm²

Area covered by ribbons = 3700 cm²

The area of the cardboard is (105 cm) x (80 cm) = 8400 cm².

The area covered by the ribbons is 3700 cm².

So, the area of the cardboard that was painted is 8400 cm² - 3700 cm² = 4700 cm².

The area of the cardboard is 8400 cm² or 0.84 m². The area covered by the ribbons is 3700 cm². So, the area that needs to be painted is the difference between the area of the cardboard and the area covered by the ribbons, which is:

8400 cm² - 3700 cm² = 4700 cm²

To convert to square meters, we divide by 10000:

4700 cm² ÷ 10000 = 0.47 m²

Therefore, the cost of painting the remaining area is:

0.47 m² × ₹25/m² = ₹11.75

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Evan runs a circular loop around his neighborhood after he ran a lap he calculated that he had run 744 feet what is the diameter across this loop

Answers

The diameter across this loop was 236.6 feet

What is the perimeter?

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

However, if we assume that Evan ran around the loop's outer edge and not inside the loop,

we can use the formula for the circumference of a circle,

which is C = πd,

where C is the circumference, d is the diameter, and π is approximately 3.14.

We can rearrange the formula to solve for the diameter,

which is d = C/π.

Plugging in the given value for the circumference, we get:

d = 744/π ≈ 236.6 feet

Therefore, if Evan ran around the outer edge of the loop, the diameter of the circle is approximately 236.6 feet.

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how to count to 20 in spanish?

Answers

Counting to 20 in Spanish is a relatively straightforward process. The first step is to learn the numbers from 1 to 10, which are:

1 - uno

2 - dos

3 - tres

4 - cuatro

5 - cinco

6 - seis

7 - siete

8 - ocho

9 - nueve

10 - diez

Once you have these numbers memorized, it's easy to continue counting up to 20. Simply add the numbers from 11 to 19 to the base number, diez.

11 - once (diez + uno)

12 - doce (diez + dos)

13 - trece (diez + tres)

14 - catorce (diez + cuatro)

15 - quince (diez + cinco)

16 - dieciséis (diez + seis)

17 - diecisiete (diez + siete)

18 - dieciocho (diez + ocho)  

19 - diecinueve (diez + nueve)

20 - veinte

As you can see, the only exception is the number 15, which has its own unique word, "quince." Other than that, all of the numbers from 11 to 19 follow the same pattern of adding "diez" to the appropriate digit. And once you reach 20, you're done! It's important to note that Spanish has gendered nouns, so when counting objects, you will need to use the appropriate article and adjective to match the gender of the noun. For example, if you are counting "dogs," you would say "uno perro," but if you were counting "cats," you would say "una gata."

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Answer:

1  uno

2  dos

3  tres

4  cuatro

5 cinco

6 seis

7 siete

8 ocho

9 nueve

10 diez

11 once

12 doce

13 trece

14 catorce

15 quince

16 dieciséis

17 diecisiete

18 dieciocho

19 diecinueve

20 veinte

Step-by-step explanation:

What is 101 Inches in Feet?

Answers

Answer:

8.417

Step-by-step explanation:

The amount of 101 inches is equal to 8.4167 feet.

To convert inches to feet, we divide the number of inches by 12, since there are 12 inches in 1 foot.

As 1 foot= 12 inches

Therefore, to convert 101 inches to feet, we divide 101 by 12:

= 101 inches / 12 inches/foot

= 8.4167 feet

So, 101 inches is equal to 8.4167 feet.

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Write a function in any form that would match the graph shown

Answers

The function which would match the graph shown as in the task content is; y = -1/2 (x - 6) (x + 5).

Which function would match the graph shown?

It follows from the task content that; the zeroes of the parabola are; -5 and 6;

Therefore, we have that;

y = a (x - 6) (x + 5).

To determine the value of a; use the y-intercept such that we have; (0, 15).

15 = a (0 - 6) (0 + 5)

15 = -30a

a = -1/2.

Ultimately, the required function to match the graph is; y = -1/2 (x - 6) (x + 5).

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I need help on this one

Answers

Answer:

24

Step-by-step explanation:

2x3=6

6x4=24

Julieta has 58 m of fencing to build a four-sided fence around a rectangular plot of land. The area of the land is 204 square meters. Solve for the dimensions (length and width) of the field.

Answers

The dimensions of the field are length is 12 m and width is 17m  or length is 17m and width is 17m.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that Julieta has 58 m of fencing to build a four-sided fence around a rectangular plot of land.

2(L+W)=58

2L+2W=58

Now  area of the land is 204 square meters.

LW=204

L=204/W

Now plug in this L in above equation.

2(204/W)+2W=58

408/W+2W=58

2W²+408-58W=0

2(W²-29W+204)=0

(W-17)(W-12)=0

W=17

Now plug in W as 17 in L

L=204/17=12

Hence, the dimensions of the field are length is 12 m and width is 17m  or length is 17m and width is 17m.

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30 Point for some help!!

Answers

Answer:

The second option!

Step-by-step explanation:

Sorry if i was wrong... :(

Due to inflation, a fixed quantity of money can buy 5% less every year. If camille has enough in her wallet to buy 86 movie tickets right now, how many movie tickets could the same amount of money buy in 4 years?.

Answers

Due to inflation, a fixed quantity of money can buy 5% less every year. If camille has enough in her wallet to buy 86 movie tickets right now, the same amount of money could buy 69 movie tickets in 4 years.

Inflation is the sustained increase in the general price level of goods and services in an economy over a period of time. When inflation occurs, each unit of currency buys fewer goods and services; consequently, inflation reduces the purchasing power of money. Here, inflation reduces the purchasing power of money by 5% every year.

Let's assume that Camille has enough in her wallet to buy 86 movie tickets right now. After 1 year, the same amount of money would be able to buy 86 * (100 - 5) / 100 = 81.7 movie tickets, since the purchasing power of the same amount of money would have decreased by 5%.

After 2 years, the same amount of money would be able to buy 81.7 * (100 - 5) / 100 = 77.6 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.

After 3 years, the same amount of money would be able to buy 77.6 * (100 - 5) / 100 = 73.7 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.

After 4 years, the same amount of money would be able to buy 73.7 * (100 - 5) / 100 = 69.9 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.

However, since movie tickets cannot be bought in fractional amounts, we would round down to the nearest whole number, so the same amount of money could buy 69 movie tickets in 4 years.

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In parallelogram QRST,m/R=63.7.what is m/S?

Answers

The measure of m∠S is 116.3.

What is a parallelogram?

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram QRST.

m∠R = 63.7

Now,

We see that,

m∠R and m∠T are opposite angles.

So,

m∠T = 63.7 _____(1)

And,

m∠Q and m∠S are opposite angles.

So,

m∠Q = m∠S ______(2)

Now,

The sum of the four angles is 360.

So,

m∠R + m∠T + m∠Q + m∠S = 360

From (1) and (2),

63.7 + 63.7 + 2m∠S = 360

127.4 + 2m∠S = 360

2m∠S = 360 - 127.4

2m∠S = 232.6

m∠S = 232.6/2

m∠S = 116.3

Thus,

The measure of m∠S is 116.3.

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How long does it take for $250 to grow to $600 at 4% annual percentage rate compounded continuously? Round to
the nearest year.

Answers

Answer:

22yrs

Step-by-step explanation:

So, the money will grow to $600 in about$$ 22 years.

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?

1 mile = 5,280 feet

45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour

Answers

Answer:

48 miles per hour

Step-by-step explanation:

To convert Aneesha's speed from miles per hour to feet per second, we can use the formula:

speed in feet per second = speed in miles per hour * feet per mile / seconds per hour

So, Aneesha's speed in feet per second is:

50 miles per hour * 5,280 feet per mile / 3600 seconds per hour = 792 feet per second

Morris is traveling 3 feet per second less than Aneesha, so his speed in feet per second is:

792 feet per second - 3 feet per second = 789 feet per second

To convert Morris's speed back to miles per hour, we can use the formula:

speed in miles per hour = speed in feet per second * seconds per hour / feet per mile

So, Morris's speed in miles per hour is:

789 feet per second * 3600 seconds per hour / 5,280 feet per mile = approximately 48 miles per hour.

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