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3 years ago

Eric needs 1/2 deck of playing cards for a magic trick. He only has 2/7 of a deck. What fraction of a deck does Eric still need?

Mathematics

1 answer:

tatyana61 [14]3 years ago

4 0

Answer: Eric still needs $\frac{3}{14}$ of a deck.

Step-by-step explanation:

You know that:

- Eric need 1/2 deck of playing cards.

- Eric has 2/7 of a deck.

Therefore, to find the fraction of a deck that Eric still needs, you must subtract 1/2 and 2/7:

- Find the least common multiple of the denominators:

$2=2*1\\7=7*1$

$LCM=2*7*1=14$

- Now, you can make the subtraction:

$\frac{(7*1)-(2*2)}{14}=\frac{7-4}{14}=\frac{3}{14}$

Therefore, he still needs $\frac{3}{14}$ of a deck.

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Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0

3 years ago

Terri owns a computer repair shop. Her revenue at the end of last month was $8,000. What is Terri's Run Rate?

Ilia_Sergeevich [38]

Based on the information given Terri's Run Rate is $96,000.

Using this formula

Run rate=Revenue for the Period × Number of months in a year

Where:

Revenue for the Period =$8,000

Number of months in a year=12 months

Let plug in the formula

Run rate=$8,000×12 months

Run rate=$96,000

Inconclusion Terri's Run Rate is $96,000.

Learn more about run rate here:brainly.com/question/16134508

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3 years ago

What is the product of R and T equals r = 5.33 and T equals 0.5

Veseljchak [2.6K]

I believe you just multiply the two numbers together and get 2.665

3 0

3 years ago

An employer uses the linear regression equation y = 0.18 x + 320.22 to predict the weekly salary, y, of an employee who sells x

Nata [24]

Answer:

Option C is correct.

Alex earned about $60 more than Joaquin did.

Step-by-step explanation:

The linear regression equation

y = 0.18 x + 320.22

is used to predict the weekly salary, y, of an employee who sells x dollars worth of merchandise.

Joaquin sold $1500 worth of goods. Meaning that x for that week for Joaquin is 1500.

Joaquin' s salary for that week is then given as

y = 0.18x + 320.22

y = 0.18(1500) + 320.22 = 590.22

Hence, Joaquin's salary for that week = $590.22

Alex earns $650 that week. Meaning that y for Alex in that week = 650

y = 0.18x + 320.22

650 = 0.18x + 320.22

0.18x = 650 - 320.22 = 329.78

x = (329.78/0.18) = 1832.1

Hence, Alex sold goods worth $1832.1 that week.

Joaquin sold goods worth $1500

Joaquin earned $590.22

Alex sold goods worth $1832.1

Alex earned $650

From this calculation, it is evident that 'Alex earned about $60 more than Joaquin did' is the correct option as $650 is about $60 more than $590.22

Hope this Helps!!!

7 0

3 years ago

Read 2 more answers

X + 2y = 5<br>3x + 5y = 14<br>Solve the system of equations.<br>(3.1)<br>(7.-1)<br>(2.3/2)

son4ous [18]

Answer:

(3,1) because x is 3 and y is 1.

Step-by-step explanation:

x+2y=5

3x+5y=14

Multiply first equation by 3:

3x+6y=15

3x+5y=14

Subtract 3x:

1y=1

Therefore, y = 1

Plug it back into 1st equation:

x+2(1)=5

x+2=5

Therefore, x = 3

Judging from your answers, it looks like (3,1) because x is 3 and y is 1.

I hope this helped!

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3 years ago