A submarine descends to 1/6 of its maximum depth. Then it descends another 2/3 of its maximum depth. If it is now at 650 feet below sea level, what is its maximum depth?

Answer:

x = 47

Step-by-step explanation:

Given the equation :

7+5(x−3)=227

Expand the equation :

7 + 5x - 15 = 227

5x = 227 + 15 - 7

5x = 235

x = 235 /5

x = 47

Statement is true at x = 47

Answer:7

Step-by-step explanation:7

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

Answer:

b

Step-by-step explanation:I hope this helps

Answer:

To write 1.234 as a fraction you have to write 1.234 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.234 = 1.234/1 = 12.34/10 = 123.4/100 = 1234/1000

And finally we have:

1.234 as a fraction equals 1234/1000

Step-by-step explanation:

Hope this helps.:)

The volume of the cylinder, given the base radius and the height, can be found to be 424.29 cm ³

To find the volume of a cylinder, the necessary formula would be:

= π x base radius ² x height

Base radius = 3 centimeters

Height = 15 centimeters

The volume of the cylinder is therefore:

= π x 3 x 3 x 15

= π x 9 x 15

= 424.29 cm ³

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Answer:

go Amoeba and Paramecium.

Step-by-step explanation:

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

16%

Step-by-step explanation:

First week- 200 stickers

Second week- 280 stickers

Third week- 168 stickers

40% of 200 = 80

40% of 280 = 112

200-168=32

32 is 16% of 200

Answer:

The answer is 1054ft³

Step-by-step explanation:

Volume of rectangular prism =1/3LWH

V=1/3×31/2×51/3×12

V=1054ft³

Answer:

Step-by-step explanation:

Answer:

It is given that Tawanna is asked to find the GCF of each term in the expression 2ab+8b.

Firstly she should find the factors of each term in the expression as :

2ab=1,2,a and b

8b=1,2,4,8 and b

Now, GCF is the greatest common factor, since the GCF of the above terms is 1,2 and b, thus she should use each common factor once.

She wrote the common factors twice which is the error in her solution, thus she should use each common factor once.

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

The cost would be $99 with each artist if the job took Eva 1 hour

Step-by-step explanation:

99=10x+89

subtract 89 from both sides

10=10x

1=x

Answer: 14,000

...............................

Answer:

Step-by-step explanation:

round 13,899 to the nearest thousands which would be

14,000

Answer: 12x²y²-4x²y-9xy²+3xy

Step-by-step explanation:

To find the product, you have to use the FOIL method.

12x²y²-4x²y-9xy²+3xy

Since there are no like terms, we don't need to combine anything.

Answer:

The product results in: \(6x^3y^2-2x^3y-9xy^2+3xy\)

Step-by-step explanation:

This is a product of two binomials, and we use distributive property to get rid of the parentheses (grouping symbols):

\((2x^2y-3y)\,(3xy-x)=6x^3y^2-2x^3y-9xy^2+3xy\)

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

P= Total # of people who entered the park

t= The time in hours

P=2200t

6600 = 2200t

Divide both sides of the equation by 2200:

3=t

answer : 3 hours

9515 1404 393

Answer:

  2 8/11 hours ≈ 2.73 hours

Step-by-step explanation:

Assuming a constant rate, entries are proportional to time.

  time/people = 1 h/(2200 people) = t/(6000 people)

  t = (1 h)(6000/2200) = 2 8/11 h ≈ 2.73 h

It will take about 2.73 hours for 6000 people to enter.

Answer:

01:04

Step-by-step explanation:

add 7 minutes to 22:57 to get 23:04. then add 2 hours to get to 01:04.

The measure of the angles are;

<KL = 23 degrees

m<LON is 23 degrees

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 157 degrees

To determine the measures of the arc, we need to note the following;

From the information shown in the diagram, we have;

<KL +<KM = 90 degrees

Now, substitute the values

<KL + 67 = 90

collect like terms

<KL = 23 degrees

m<LON and <KL are corresponding angles

Then, m<LON is 23 degrees

m<OM = m<LON + 90 degrees

Substitute the values

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 90 + <LM

Substitute the values

m<NL = 157 degrees

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Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50

The mean of a dataset is the sum of all data elements divided by the count of the elements.

The location of the 6th score relative to the mean is 5 points below the mean

Let:

\(\bar x \to\) Mean

\(a \to\) 5 scores

\(b \to\) 6th scores

Given that:

\(n = 6\)

The 5 scores that are 1 above the mean implies that:

\(a = \bar x + 1\)

The mean of a dataset is calculated using:

\(\bar x = \frac{\sum x}{n}\)

So, we have:

\(\bar x =\frac{5a + b}{6}\)

\(\bar x =\frac{5(\bar x + 1) + b}{6}\)

Open brackets

\(\bar x =\frac{5\bar x + 5 + b}{6}\)

Multiply both sides by 6

\(6\bar x =5\bar x + 5 + b\)

Make b the subject

\(b = 6\bar x -5\bar x - 5\)

\(b = \bar x - 5\)

This means that the 6th score is 5 points below the mean

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Step-by-step explanation:

an open (empty) point means the point itself is not included.

a closed (filled) point means the point itself is included.

the x values going from -3 (not included) to -1 (included) means

-3 < x <= -1

so, the second answer is correct.

Hey there! I'm happy to help!

We see that the width goes from 1.6 to 8. How much bigger is 8 and than 1.6?

8/1.6=5

8 is 5 times bigger than 1.6, so this rectangle is 5 times larger than the original. Let's find the area of the big triangle.

25(8)=200

And then divide by 5. This will give us the smaller triangle.

200/5=40

Therefore, the answer is 40 cm².

Have a wonderful day! :D

Answer:

A. 8 cm²

Step-by-step explanation:

1. First, we need to find the scale factor by dividing the new width by the old width. 8/1.6 = 5.

2. Okay, now that we have the scale factor (5) we need to use it to find the old length. To find the old length we need to divide the new length by the scale factor. 25/5 = 5.

3. Now we know the width (1.6) and length (5) of our old model, so we just need to multiply to find the area. 1.6*5 = 8. 8 cm² is our area!

Hope this helps! Lol, I'm doing the Unit Test Review right now.

Answer:

x = 5/2 or x = 6

Step-by-step explanation:

(2x)(2x)=(x+10)(2x-3)

4x^2 = 2x^2 - 3x + 20x - 30

2x^2 - 17x + 30 = 0

(2x - 5)(x - 6) = 0

x = 5/2 or x = 6

The reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we can see in the graph there are two shapes are shown.

Figure M and Figure N

The sequence of transformations that will take figure M onto its congruent image, figure N is:

First, we need to draw a line that passes through (3, 0) and (0, -3)

The equation of the line is:

\(\rm y+3=\dfrac{\left(-3\right)}{-3}\left(x\right)\)

y + 3 = x

y = x - 3

The reflection over the above line will take figure M onto its congruent image, figure N.

Thus, the reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The situations that have a net result of zero are:

The first situation results in a debt of $3 and then payment of $3, which cancels out the debt.

The second situation involves combining three atoms with a total charge of zero (2 atoms with a charge of negative 2, and 1 atom with a charge of positive 4).

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If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.

x = width of the billboard designer

Total Area including margin = 150 ft^2

Height of the billboard = Area/width

Height of the billboard = 150/x

Before the height of the billboard = (150/x - 5 × 2)

Before the height of the billboard = (150/x - 10) ft

The width of the printed region billboard = (x - 2 × 2)

The width of the printed region billboard = (x - 4) ft

The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard

The area of the printed region of the billboard = (150/x - 10)(x - 4)

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The complete question is:

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.

Area as a function of x =

Answer:

12

Step-by-step explanation:

AB=3

BC=4

AC=3²+4²=c²

9+16=c²

25=c²

√25=c

c=5

3+4+5=12

Answer:

We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.

Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.

Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.

Step-by-step explanation:

The area of the park is about :

95 + 27 = 122 yards

We have the following information available from the question is:

The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.

Now, According to the question:

Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,

So the area of the park is about :

95 + 27 = 122 yards

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