7.9p+6-7.9p=0.7 ...............................................

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:

-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:

x=3

Step-by-step explanation:

-3x+12=x

12=x+3x

12=4x

x=12

4

x=3 hope it helpu

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°

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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:

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:

[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:

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:

4022

Step-by-step explanation:

48264/12=4022

Answer:

$4,022

Step-by-step explanation:

Because it is an annual salary (yearly), you would take the number and divide it by 12 (the amount of months in a year). This leaves you with $4,022

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:

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:

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

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:

11/20 is the answer

Answer:0.52

Step-by-step explanation:$5.20 divided 10

Answer:

y= 3x-1

Step-by-step explanation:

Use two points from the line to find slope. I'm using (1,2) and (2,5)

Put these values into slope formula and get 5-2/2-1 which simplifies to 3. So slope is 3.

Next, for the y-intercept. If you look closely, the line intercepts the y-axis at (0,-1), so our y-intercept is -1.

Put the equation together to get y=3x-1

Hope it helped.

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]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:

$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:

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.

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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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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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:

The first option.

Step-by-step explanation:

5*6=30 and 9*6=54. We're just multiplying what we had originally by 6, meaning we'll have the same shade, but in a bigger quantity.

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:

-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