Max swims the breaststroke for 4 laps at the speed of 50 meters per minute. He then switches to the backstroke and swims another 4 laps at the speed of 25 meters per minute. A If length of the pool is d meters, how long did it take Max to complete 4 laps breaststroke?

Answer:

A. 10:2, simplifies to 5:1

B. 2:6, simplifies to 1;3

C. 5 cars there are 3 trucks

D. Motorcycle

Step-by-step explanation:

8y-2=6

8y=8

y=1

The value of the y is 1.

J times the product of 4 and 7:

J(4x7)

Answer:

28j

Step-by-step explanation:

4 times 7=28

28 times j= 28j

Answer:

x=3

Step-by-step explanation:

-3x+12=x

12=x+3x

12=4x

x=12

4

x=3 hope it helpu

Answer:

11/20 is the answer

Step 6 contains an error. Option C is correct

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The incorrect step is;

[tex]\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}[/tex]

The correct step is;

[tex]\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}[/tex]

Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.

Hence, option C is correct

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[tex]slope = \frac{ - 5 - 4}{6 - 3} \\ [/tex]

[tex]slope = \frac{ - 9}{3} \\ [/tex]

[tex]slope = - 3 \\ [/tex]

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Answer:

-5=x

Step-by-step explanation:

3=-2 (x+2)

-2 (x+2) = -2x-4

3=-2x-4

-4 from 3 and -4

= -7=-2x

do the opposite "-2 to +2 "

=-5=x

Answer:

50(Option D)

Step-by-step explanation:

Trigonometry

Inverse trig for this

So we are given adjacent and opposite legs for this part. So tangent is used except because we are finding angle(tan^-1 is used) tan^-1 is not 1/tan

tan^-1(56/47)

We get 49.993744 and so on

So rounded to the nearest degree, that is 50.

Answer:

[tex]y=-\frac{7}{2}x+8[/tex]

Step-by-step explanation:

Given the equation

[tex]y\:=\:\frac{2}{7}x+9[/tex]

comparing the equation with the slope-intercept form

[tex]y =mx+b[/tex]            

Here,

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]

[tex]y=-\frac{7}{2}x+8[/tex]

Answer: [tex]1\dfrac13[/tex] cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

[tex]x_1=\dfrac13\[/tex]  , [tex]y_1=\dfrac34[/tex] ,  [tex]y_2=3[/tex]

Put these values in an equation we get

[tex]\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13[/tex]

Hence, he needs [tex]1\dfrac13[/tex] cups of pineapple juice .

Answer:

He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.

Step-by-step explanation:

Orange Juice:

3 cups / 3/4 cups = 12/3= 4

Pineapple Juice:

1/3 × 4 = 4/3 cups= 1 1/3 cups

Answer:

125°

Step-by-step explanation:

So we know that the total height is 85.5 (building height plus Lucia's height) and that the distance between Lucia and the fountain is 122ft away. As seen in the badly drawn picture below, the question asks us to solve for x, we can do this by first solving for y by using tangent to calculate its value which is the following

tan(y) = opposite / adjacent

tan(y) = 122 / 85.5

tan(y) = 1.4269

y = [tex]tan^{-1}[/tex](1.4269)

y = 54.97

Now that we have the value of y and we know that a straight line has a degree of 180, we can simply subtract the degree of y from 180 to get the degree of x

180 - 54.97 = 125.03

Answer:

about 35°

Step-by-step explanation:

tan^-1(85.5/122)

35.02352736°

=35°

Answer:

Step-by-step explanation:

[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]

Answer:

(5,4)

Step-by-step explanation:

Answer:

7.5 gallons

Step-by-step explanation:

divide 12 by 3 to get oz per minute. 4

do 60 × 4 to get total minutes 240

4×240=960

put 960 oz into gallons and get 7.5

Answer: 3

Step-by-step explanation:

-3 + 4x = 9

if u add 3 to 9, u get 12. 12 divided by 4 is 3

Add 3 to both sides of the equation to isolate the variable term. Therefore, option B is the correct answer.

The given equation is -3 + 4x = 9.

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation.

Now, add 3 on both sides.

That is, -3 + 4x +3= 9+3

⇒4x=12

⇒x=3

Therefore, option B is the correct answer.

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Answer:0.52

Step-by-step explanation:$5.20 divided 10

Answer:

Step-by-step explanation:

1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22;        GIVEN

2.  CM = MD                                                                       Definition of Midpoint

3.  3x - 10 = 6x - 22                                                            Substitution Property

4.  -3x - 10 = - 22                                                      Subtraction Prop of Equality

5.  -3x =-12                                                               Addition Prop of Equality

6.  x = 4                                                                    Division Prop of Equality

The missing reasons in the two-column proof are:

1. Given

2. Definition of a midpoint

3. Addition property of equality

To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.

In the two-column proof given, the missing reasons are:

1. Given (the information was stated already)

2. Definition of a midpoint (CM = MD)

3. Addition property of equality (10 was added to both sides of the equation).

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Answer:

Answer: A- 1.50$ for (1 lb) make sure you pick the graph with the coat that go to 7 not 12!

Step-by-step explanation:

but maybe its 1.25

Answer:

1.25

Step-by-step explanation:

Answer:

4. 3

Step-by-step explanation:

If you multiply 2 by 3 it'll equal to 6. Same with 7 x 3= 21.

You could also subtract 7 from 2 equalling 5 and 21 - 6 equal to 15. Then you would but y over x giving you 15/5. 15 divided by 5 is 3. So both ways you get 3.

Hope that helps :)

Answer:

$3

Step-by-step explanation:

Plug in 2 for y, so you get 2x + 3(2) = 12, and that simplified would be

2x + 6 = 12. Next, subtract 6 from both sides, so you get 2x = 6. Divide 2 by both sides to get 3!

Answer:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

Step-by-step explanation:

Answer:

5(x-3)

Step-by-step explanation:

The word "SUM" means the answer to an "ADDITION".

"SUM" is always used with the word "AND" to indicate which numbers are being added.

The SUM of a number AND -3 is written as:  

( x + ( − 3 ) ), or  ( x -3 )

(where we have chosen the number to be  x .)

But we want FIVE of those sums; this means:

5  ( x − 3 )

Answer:

-2

Step-by-step explanation:

its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2

The division is one of the four fundamental arithmetic operations. The time it will take both of them together to paint the house is 6.857 hours.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Let the area that is needed to be painted be x.

Given that Walter can paint the house by himself in 12 hours. Therefore, we can write the rate at which Water paint is,

Rate = Area needed to be painted / Time

       = x / 12 hours

       = x/12

Further, given that Helen can paint the house by herself in 16 hours. Therefore, we can write the rate at which Helen paint is,

Rate = Area needed to be painted / Time

       = x / 16 hours

       = x/16

Now, the rate at which they both will paint or the area that they will cover in an hour is,

Rate = (x/12) + (x/16)

       = (4x/48) + (3x/48)

       = (4x + 3x)/48

       = 7x / 48

Furthermore, the time it will take both of them together to paint the house is,

Time = Area needed to be painted / Rate

        = x / (7x/48)

        = 48/7 hours

        = 6.857 hours

Hence, the time it will take both of them together to paint the house is 6.857 hours.

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Answer:

1

Step-by-step explanation:

use division.

281 divided by 8

which is in all 35, but there is a remainder

and that remainder is 1

so one person will be on that last boat