in 30 minutes a shark can swim 4000 feet. About how fast in miles per hour does the shark swim?

Answer:

x = 70

Step-by-step explanation:

Both angles must add up to 180°, by the definition of a line.

Step 1: Set up equation

x - 31 + 2x + 1 = 180

Step 2: Solve for x

3x - 30 = 180

3x = 210

x = 70

Answer:

C

Step-by-step explanation:

C is the only one that is an enlarged version of A.

Steps to solve:

3x - 5y = 20

~Subtract 3x to both sides

-5y = 20 - 3x

~Divide everything by -5

y = -4 + 3/5x

Best of Luck!

The equivalent value of the expression is y = ( 3x - 20 ) / 5

Given data ,

Let the equation be represented as A

Now , the value of A is

3x - 5y = 20

On simplifying the equation , we get

3x - 5y = 20

So , the left hand side of the equation is equated to the right hand side by the value of 20

Adding 5y on both sides , we get

3x = 20 + 5y

Subtracting 20 on both sides , we get

5y = 3x - 20

Divide by 5 on both sides , we get

y = ( 3x - 20 ) / 5

Therefore , the value of y = ( 3x - 20 ) / 5

Hence , the expression is y = ( 3x - 20 ) / 5

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Answer: Option C.

Step-by-step explanation:

The data is:

Destin walked 2km

Jane walked 4000ft.

Let's write both of those in the same units.

The data given is:

1ft = 0.0003048km.

and 4000ft is 4000 times that:

4000ft = 4000*1ft = 4000*0.0003048km = 1.22km

Then if we add those, we get:

Total distance = 2km + 1.22km = 3.22km

So we can already discard option D.

Now, we know that:

1km = 0.6214 miles.

then 3.22 km is 3.22 times that amount:

3.22km = 3.22*1km = 3.22*(0.6214 mi) = 2 miles

The correct option is C.

The cost of 4th book is $22.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, Jenny bought 4 books in a bookstore. The prices of the first 3 books were $10, $15 and $25.

Let the cost of 4th book be $x.

Now, average = (10+15+25+x)/4

(50+x)/4 =18

50+x =72

x=$22

Therefore, the cost of 4th book is $22.

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Answer:

A terminating decimal is a decimal number that has digits that end.

For example, 0.25. In this decimal, the digit ends at 5. It has 2 decimal digits.

Answer:

a decimal numeral in which, after a finite number of decimal places, all succeeding place values are 0, as ⅛ = 0.125 (contrasted with nonterminating decimal).

Step-by-step explanation:

Answer:

So if 25% of the people go to work by bicycle then that means that 75% of people go to work by other means of transportation.

Therefore the odds against selecting someone who commutes by bicycle are 75% or 75/100 or 0.75.

Step-by-step explanation:

The odds against selecting someone who commutes by bicycle are 75%

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town.

25% of the people go to work by bicycle then which means that 75% of people go to work by other means of transportation.

Therefore the odds against selecting someone who commutes by bicycle are 75% or 75/100 or 0.75.

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Answer:

simplify 5(m+3+n)

5m+5n+15

Step-by-step explanation:

-125+ 250+ (-50) = 75

Answer:

Statement 1 2 and 4

Step-by-step explanation:

Answer:

i honestly don't know

Step-by-step explanation:

suddjdbdb

Answer:

70 I guess

Step-by-step explanation:

10 days a week: Key

1 week is 7 days

10/ every seven days they earn 10 dollars

7*10=70

Answer:

Step-by-step explanation:

loan amount (P) = $10,000

interest is compound monthly :

A = P (1 + r/n)^n*t

find:

which of these loan terms will have the lowest total cost?

A) 2 years at 3% interest

B) 3 years at 3% interest

C) 4 years at 3% interest

D) 5 years at 3% interest

solution:

plugin the values into the formula to get the accumulated monthly interest.

A.   using 2 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²

                               12

   = $10,617.57

B.   using 3 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³

                                12

   = $10,940.51

C.   using 4 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴

                                12

   = $11.273.28

D.   using 5 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵

                                12

   = $11,616.17

therefore, based on the above terms, option A which is $10,617.57

                 has the lowest accumulated monthly interest. (total cost)

A) 2 years at 3% interest = $10,617.57

Step-by-step explanation:

loan amount (P) = $10,000

interest is compound monthly :

A = P (1 + r/n)^n*t

find:

which of these loan terms will have the lowest total cost?

A) 2 years at 3% interest

B) 3 years at 3% interest

C) 4 years at 3% interest

D) 5 years at 3% interest

solution:

plugin the values into the formula to get the accumulated monthly interest.

A.   using 2 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²

                              12

  = $10,617.57

B.   using 3 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³

                               12

  = $10,940.51

C.   using 4 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴

                               12

  = $11.273.28

D.   using 5 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵

                               12

  = $11,616.17

therefore, based on the above terms, option A which is $10,617.57

                has the lowest accumulated monthly interest. (total cost)

Answer:

1 11/80 or

91/80

Step-by-step explanation:

5 1/18 divided by 4 4/9

Change mixed numbers into improper fractions

5 1/18 =  91/18

4 4/9 = 40/9

91/18 divided by 40/9

= 91/80

= 1 11/80

Hope this helps!

Answer:

exact form: x = √ 17 + 9 , − √ 17 + 9

decimal form: 13.12310562

Step-by-step explanation:

Add  43  to both sides of the equation. Add  −  9  and  43 .Divide each term by 2. Then simplify it. Take the square root of each side to set up the solution for x. The solution is the result of both the positive and negative portions of the solution.

Hope this helps!

Hey there! I'm happy to help!

First we use the distributive property to undo the parentheses.

7n+12n-9-2

We combine the terms with n.

19n-9-2

And we combine the constants.

19n-11.

Have a wonderful day! :D

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{19n - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7n + 3(4n - 3) - 2}[/tex]

Distribute 3 through the parentheses

[tex] \longrightarrow{ \sf{7n + 12n - 9 - 2}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{19n - 9 - 2}}[/tex]

The negative integers are always added but posses the negative ( - ) sign

[tex] \longrightarrow{ \sf{19n - 11}}[/tex]

Hope I helped!

Best regards! :D

Answer: He needs 80 cups.

Step-by-step explanation:$12/$.15=80 cups

Answer:

[tex]p(x) = x^3-3x^2-2x+4[/tex]

[tex]p(x) = (x-1)(x^2-2x-4)[/tex]

Given that:

The tables values which represents Age and Admission Price is

   Age           Admission Price

under 5                free

  5–17                   $25

18–64                   $40

65 and over          $35

To find:

Domain and range of the function.

Solution:

Domain is the set of input values.

Here, domain is age because age is an independent variable.

Age cannot be negative, so

[tex]Domain:\{Age\geq 0\}=[0,\infity)[/tex]

Therefore, the domain is all number greater than or equal to 0.

Range is the set of input values.

Here, range is Admission Price because Admission Price is a dependent variable.

Admission Prices are free (i.e., 0), $25, $40 and $35. So

[tex]Range:\{0,25,35,40\}[/tex]

Therefore, range is {0,25,35,40}.

Answer:

10-20 dollars per hour

Answer:

12x+14

Step-by-step explanation:

Answer: x=18

Step-by-step explanation: 7x−11=5x+25

Step 1: Subtract 5x from both sides.

7x−11−5x=5x+25−5x

2x−11=25

Step 2: Add 11 to both sides.

2x−11+11=25+11

2x=36

Step 3: Divide both sides by 2.

2x /2 = 36 /2

x=18

Answer:

x=18

Answer:

It would be translation and dilation.

Step-by-step explanation:

The sequence of transformations that will give a similar rectangle is the one in option C "translation and dilation".

Remember that two similar rectangles have the same shape, but different size.

This means that, if in the sequence of transformations we have a dilation, then the image of the transformation will be similar to the original rectangle.

Notice that there is only one option with a dilation which is option C.

"translation and dilation"

So that is the correct option.

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Answer:

(a) Equation: [tex]T_n = 11.25 - 1.25n[/tex]

(b) 7.5 gallons

Step-by-step explanation:

Given

Current Gas = 10 gallon

Every Hour = -1.25 gallon

Solving for (a): An equation for the scenario

This question represents an Arithmetic Progression and will be solved using the following formula:

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 10[/tex]

[tex]d = -1.25[/tex]

Substitute these values in the formula

[tex]T_n = 10 + (n - 1) * -1.25[/tex]

[tex]T_n = 10 -1.25n +1.25[/tex]

Collect Like Terms

[tex]T_n = 10 + 1.25 - 1.25n[/tex]

[tex]T_n = 11.25 - 1.25n[/tex]

Solving for (b): In this case, n - 3

Substitute 3 for n in [tex]T_n = 11.25 - 1.25n[/tex]

[tex]T_3 = 11.25 - 1.25 * 3[/tex]

[tex]T_3 = 11.25 - 3.75[/tex]

[tex]T_3 = 7.5[/tex]

7.5 gallon of gas left

Answer:

area = 2x^{2}  + 17x + 35 square unit

Step-by-step explanation:

if the height is the width:

area = (x + 5)(2x + 7)

area = [tex]2x^{2} + 7x + 10x + 35[/tex]

area = [tex]2x^{2} + 17x + 35[/tex] square unit

this may help

My Step-by-step explanation:

the plumber would first make 60 dollars for the call , and then would make 55 dollars for each hour , or about 110 dollars every 2 hours. So, for 1 hour , she would have 105 dollars for the call , and 1 hour of work.  

Answer:

it would be 6 units

Step-by-step explanation:

Answer: it would be 6

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The height of the library in the drawing were 12.

Answer:

A because

Step-by-step explanation:

Which the following steps is included in the construction of a perpendicular line through a point on a line? Connect arcs that are above and below the given line with a straightedge. Connect arcs that are above the original line with a straightedge. Create arcs on either side of a point that is off the given line. Create a copied angle by using the first two lines as the original angle.

so the answer is A

The step included in the construction of a perpendicular line through a point on a line is the option:

Connect arcs that are above the original line with a straightedge

The reason for the above selection is as follows:

The steps in the construction of a perpendicular line through a point on a line include

The compass needle is placed at the point through which the perpendicular line is to pass and two arcs or equal radius, r, are drawn on either side of the point crossing the line

Increase the compass width to more than the radius, r, above, place the compass needle at the intersections of the arc and the line drawn above and draw an arc either above or below the line

Repeat the above step from the other intersection of the arc on the other side of the point on the line and draw another arc that intersects the arc in the above step, above or below the line

With the straightedge, draw a line from the given point that passes through the intersection of the arcs above or below the line to complete the construction of a perpendicular line passing through a point on a line

Therefore, the included step in the construction of a perpendicular line through a point is; Connect arcs that are above the original line with a straightedge

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Answer:

[tex]$w=-\frac{5}{13} $[/tex]

Step-by-step explanation:

[tex]36 - 19w = -6w + 41[/tex]

Add 19w in both sides

[tex]36 - 19w+19w = -6w+19w + 41[/tex]

[tex]36 = 13w + 41[/tex]

Add -41 both sides

[tex]-5 = 13w[/tex]

Divide both sides by 13

[tex]$w=-\frac{5}{13} $[/tex]