Subtract. Write your answer in simplest form.

6 3/4 - 2 3/20

Answer:3

Step-by-step explanation:

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

Learn more about cross product property at

https://brainly.com/question/14308624

#SPJ1

Answer:

P=4a

Step-by-step explanation:

calculate the perimeter of a square, add all the sides of it. There are 4 sides of a square which are all equal in length. The sum of the sides will give its perimeter. We can use also find the perimeter of square if the length of diagonal or area of square is given to us.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

To learn more about ratio refer to:

https://brainly.com/question/2328454

#SPJ1

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

For more question on  probability visit:

https://brainly.com/question/25839839

#SPJ8

Answer: from what I remember it’s yes

Step-by-step explanation: Because I took the test but it won’t let me go back but if it’s not yes I’m sorry

The number gives the exact value of one and seven thirtieths is (c) One and twenty three hundredths with the three repeating

The number is given as:

One and seven thirtieths

This can be represented as:

One + seven thirtieths

Express seven thirtieths as 7/30

One + 7/30

Express One as 1

1 + 7/30

Evaluate the quotient 7/30

1 + 0.2333

Evaluate the sum

1.2333

This can be rewritten as:

One and twenty three hundredths with the three repeating

Hence, the number gives the exact value of one and seven thirtieths is (c) One and twenty three hundredths with the three repeating

Read more about decimals at:

https://brainly.com/question/11406179

#SPJ1

The values of independent random variables (a)E(Y), (b)V(Y), (c) E(2Y), and (d) V(2Y) using covariance are 36, 1296, 72, and 5184 respectively.

We can use the following properties of expected value and variance:

E(aX) = aE(X) for any constant a

V(aX) = a² V(X) for any constant a

E(X + Y) = E(X) + E(Y) for any random variables X and Y (assuming they have finite expected values)

V(X + Y) = V(X) + V(Y) + 2Cov(X, Y), where Cov(X, Y) is the covariance between X and Y.

(a) E(Y) = E(6X1 - 6X2) = 6E(X1) - 6E(X2) (by linearity of expectation)

= 6(9) - 6(3) = 36

Therefore, E(Y) = 36.

(b) V(Y) = V(6X1 - 6X2) = 36V(X1) + 36V(X2) - 72Cov(X1,X2) (by the variance formula)

To find the covariance between X1 and X2, we note that they are independent, so Cov(X1, X2) = 0.

Substituting the values of the variances, we get:

V(Y) = 36(6²) + 36(4²) - 72(0) = 1296

Therefore, V(Y) = 1296.

(c) E(2Y) = 2E(Y) (by linearity of expectation)

= 2(36) = 72

Therefore, E(2Y) = 72.

(d) V(2Y) = 4V(Y) (by the variance formula)

= 4(1296) = 5184

Therefore, V(2Y) = 5184.

Learn more about the covariance at

https://brainly.com/question/14300312

#SPJ4

Answer:

3

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

Answer:

a=72\(\frac{2}{3}\)

Step-by-step explanation:

56/6*(12-4)+2=n

56/6*8+2-2=n-2

56/6*8/8=(n-2)/8

x=9\(\frac{1}{3}\)

x=(n-2)/8

y=74\(\frac{2}{3}\)

y=n-2=a

a=72\(\frac{2}{3}\)

Answer:

The y-intercept is -2

the slope is 2.5/1 or 2.5

Explantation:

The slope formula is m=y2-y1/x2-x1

we can use the points (1,0.5) and (0,-2)  (i got these points from the graph)

m=-2-0.5/0-1

m=2.5 or 2.5/1

Answer:

You can use the division sign.

Step-by-step explanation:

48÷{2×[(6×5)-(9×3)]} =

48÷{2×[(30)-(27)]} =

48÷{2×[3]} =

48÷{6} =

8

Answer: the men’s of this set of numbers is 60

Step-by-step explanation:

Add all the numbers together and then divided but the amount of numbers in the set

Answer:

30 dollars. I think

Step-by-step explanation:

3x5=15

15+15=30

Note: Deposit means to put in!
The correct answer is 30 dollars.

How did I get my answer? Well I did:
$3 per day times 5 days which is $15. I then added that $15 to the $15 it already contained which was $30

—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

The surface area of the rectangular prism is 1476 square units

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

30 mm by 12 mm by 9 mm

The surface area of the rectangular prism is calculated as

Surface area = 2 * (Length * Width + Length * Height + Width * Height)

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

Area = 2 * (30 * 12 + 30 * 9 + 12 * 9)

Evaluate

Area = 1476

Hence, the area is 1476 square units

Read more about surface area at

brainly.com/question/26403859

#SPJ9

Answer:

3

Step-by-step explanation:

In this expression, the first term is 2x, then 4y, then 8-2 (which simplifies to 6).

Answer:

3

Step-by-step explanation:

Answer:

z=3

Step-by-step explanation:

6(4-z)=2z

24-6z=2z

8z=24

8z/8=24/8

z=3    

Answer:

2 out of 7

Step-by-step explanation:

There are 7 days in a week( at least the last time I checked) Monday and Tuesday are 2 days of that week. Therefore it is 2/7.

Answer:

16

5

O

I think

Step-by-step explanation:

Answer:

124 students

Step-by-step explanation:

Girls participating in the exercise

4/15 x 285 = 76

Boys participating in the exercise

3/20 x 320 = 48

Total students participating

76 + 48 = 124

Answer:

hey

here is the attachment of your question

Answer:

\(thank \: you\)

Answer:

90 for both of them

Answer:

90

Step-by-step explanation:

1+1+1+1+1+1+1+1+1=9 then add a 0

The instantaneous rate of change is -6 words per day,

the number of words Alex remembers after 5 days, option (D).

What is the instantaneous rate of change ?

An instantaneous rate is the rate at some instant in time. An instantaneous rate is a differential rate: -d[reactant]/dt or d[product]/dt. We determine an instantaneous rate at time t: by calculating the negative of the slope of the curve of concentration of a reactant versus time at time t.

Have given,

Alex learned 80 new vocabulary words

and after t days he learned,

W(t) = \(80 (1-0.1t)^{3}\)

differentiate respect of t

W'(t) = \(80 \frac{d}{dt} (1-0.1t)^{3}\)

W'(t) = \(80 * 3(1-0.1t)^{2} \frac{d}{dt}(1-0.1t)\)

W'(t) = \(240(1-0.1*5)^{2} (0.1)\)

W'(t) = 6

That's mean , the instantaneous rate of change is -6 words per day.

To learn more about instantaneous rate visit : brainly.com/question/28837697

#SPJ4

Answer:

7

Step-by-step explanation:

2b - 5b is -3b so it leaves the equation with -3b + 7 + 3b

-3b + 3b cancells out to 0 so it leaves the final answer to 7

Answer:

error in Step 2

Step-by-step explanation:

2(x - 3) + 3x = 19

Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms

Step 2 : 5x - 6 = 19 ← add 6 to both sides

Step 3 : 5x - 6 + 6 = 19 + 6

Step 4 : 5x = 25 ← divide both sides by 5

Step 5 : x = 5

Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3

Answer:

The answer is 39, 40, and 41

Step-by-step explanation:

You would use the equation x+x+1+x+2=120 to substitute for the ages. x would represent the youngest, then you would add a year to get the middle child (since it is consecutive numbers) then you would add 2 to get the oldest.  And when you get the answer to the equation (which is 39) that is only the age of the youngest (since you solve only for x and that represents the youngest child's age), so you have to add 1 and 2 to the answer to get the ages of the other two.

Hope this helped :)

Edna = 39 years

Ellie = 40 years

Elsa = 41 years

Edna = n

Ellie = n + 1

Elsa = Ellie + 1 = (n + 1) + 1 = n + 2

Edna + Ellie + Elsa = 120

replace

n + (n + 1) + (n + 2) = 120

3n + 3 = 120

3n = 120 - 3

3n = 117

n = 117 : 3

n = 39

Edna = n = 39 years

Ellie = n + 1 = 39 + 1 = 40 years

Elsa = n + 2 = 39 + 2 = 41 years

Answer:

Step-by-step explanation:

7(-4x - 1) = 49

-28x - 7 =49

-28x = 49 + 7 = 56

x = 56/(-28) = -2

Answer:

7 x - 4x = - 28x

7 x - 1 = - 7

-28x - 7 = 49

+7 both sides

-28x = 56

÷ - 28

x = 56/-28

x = - 2

I substitute to double check my answer:

- 4x

-4x-2 =8

7(8- 1)

7x 8 = 56

7 x - 1 = - 7

56-7= 49

Hope this helps!

If Santiago has been approved for a mortgage up to $195,000 and the conventional loan requires a 20% down payment, then his down payment will be:

Down payment = 20% * $195,000

Down payment = $39,000

Therefore, if Santiago buys a house for the maximum amount he has been approved for, he will need to make a down payment of $39,000.

To calculate how much house Santiago can afford, we need to subtract the down payment from the total amount he has been approved for:

Maximum home price = Total mortgage amount - Down payment

Maximum home price = $195,000 - $39,000

Maximum home price = $156,000

Therefore, Santiago can afford a home up to a maximum price of $156,000.

To summarize:

Santiago's down payment will be $39,000.

Santiago can spend up to $156,000 on a house.

I'm sorry to disturb but can you please mark me BRAINLEIST if this ans is helpfull

Answer:

p > 0

Step-by-step explanation:

∫₂°° e^(-px) dx

= ∫₂°° (e⁻ᵖ)ˣ dx

This is a geometric series.

A geometric series a(r)ˣ converges if -1 < r < 1.

-1 < e⁻ᵖ < 1

Since e⁻ᵖ is always positive:

e⁻ᵖ < 1

-p < 0

p > 0

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

For such more question on equation

https://brainly.com/question/29174899

#SPJ8